Charlotte volunteered to deliver dinners for seniors. The supervisor told her to take half the meals to Oak Hill Senior Center, one-fourth of them to the Glenview Apartment complex, and one-fifth of them to North-side neighborhood center. Unfortunately, there were 19 meals, which didn’t divide evenly as mandated. How could Charlotte follow the supervisor’s instructions without splitting apart any meals?

Answers

Answer 1

Answer:

Charlotte should take 5 meals to Glenview Apartment complex, 4 meals to North-side neighborhood center and 10 meals to Oak Hill Senior Center

Step-by-step explanation:

The given number of meals = 19 meals

The fraction of the meals to be taken to Oak Hill = (1/2)

The fraction of the meals to be taken to Glenview Apartment = (1/4)

The fraction of the meals to be taken to North-side neighborhood = (1/5)

Let A represent an even number of meals, we have;

The total meals she delivers = (1/2)·A + (1/4)·A + (1/5)·A = (19/20)·A

The remaining meals = A - (19/20)·A = (1/20)·A

Therefore, if the meals where 20, she would have an excess of 1 meal left

Therefore, the number of meals she can share using the given fractions = 19 meals

Therefore;

The number of whole meals she can take to Glenview = 20×(1/4) meals = 5 meals

The number of whole meals she can take to North-side neighborhood = 20 × (1/5) meals = 4 meals

Therefore, the number of meals she would take to Oak Hill Senior Center = (20 - 5 - 4) meals = 10 meals


Related Questions

What is sciences technoligy ?​

Answers

Answer:

See both definitions below

Step-by-step explanation:

Let us define science

Science is a body of knowledge, it is a systematic application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence.

Let us define Technology

Simply put, technology is the application of scientific knowledge

Answer:

Simply put, technology is the application of scientific knowledge Step-by-step explanation:

What is the length of the line? Answer choices:
8
12
Square root of 60
Square root of 136

Distance between two points

Answers

Answer:

I think the answer. is 10

Answer:

square root of 136

Step-by-step explanation:

Khan Academy Answer

prove that √2 + √3 is irrational​

Answers

Step-by-step explanation:

Let √2 + √3 be a / b.

a and b are co - primes.

a and b have 1 as a common factor.

√2 + √3 = a / b

( √2 + √3 )^2 = ( a / b )^2

(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2

2 + 3 + 2.√2.√3 = a^2 / b^2

5 + 2.√2.√3 = a^2 / b^2

2.√2.√3 = ( a^2 / b^2 ) - 5

2.√2.√3 = ( a^2 - 5b^2 ) / b^2

√2.√3 = ( a^2 - 5b^2 ) / 2b^2

a and b are not co - primes, as they more than 1 as a common factor.

So,

√2 + √3 is irrational.

Hence, proved.

gcf of 46gh and 6g^3h^6?

Answers

Answer: 2gh

polynomial factoring                                                       [tex]\displaystyle\ 46gh=\boldsymbol{2 \cdot gh}\cdot 23 \\\\6g^3\cdot h^6= \boldsymbol{2 \cdot gh}\cdot 3 \cdot g^2\cdot h^5[/tex]                                                                                accordingly, the highlighted part is the GFC of both numbers then                     [tex]\displaystyle\boldsymbol{ GFC(46gh \ ; \ 6g^3h^6)=2gh}[/tex]                                                                                                                                                                                                                                      

once again i’m in a pickle please help

Answers

Answer:

19

Step-by-step explanation:

You will need expand so you can plug in the givens

Quotient rule: log(b^7)-[log(a^5c^6)]

Product rule: log(b^7)-[log(a^5)+log(c^6)]

Distribute: log(b^7)-log(a^5)-log(c^6)

Power rule: 7log(b)-5log(a)-6log(c)

Plug in: 7(4)-5(3)-6(-1)

Simplify: 28-15+6

Simplify: 13+6

Simplify: 19

Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?

Answers

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

6. Solve the triangle by finding the length of DF and the measures of all the angles. For side lengths, round to the
nearest tenth. For angles, round to the nearest degree. (2 points)
D
5 ft
E
DF =
D
LE=
5.83 ft
ZF =
F

Answers

Answer:

∠F = 59°

∠E = 31°

DF = ≅ 3  (2.98)

Step-by-step explanation:

Identifying Types Of Angles: Check all relationships between angle 1 and angle 2. ​

Am I doing this right?

Answers

#1. Vertical

#2. Adjacent, Complementary

#3. Adjacent, Linear Pair, Supplementary

---A linear pair forms a line, which is equal to 180 degrees

#4. Adjacent

#5. Vertical, Complementary

#6. Vertical, Supplementary

---There is a 90 degree angle within this problem. If one angle is 90 degrees, then they are all 90 degrees, which makes the sum of angle 1 and 2 = 180. So, they are supplementary.

Hope this helps!

The relationship between angle 1 and 2 are as follows:

1. ∠1 ≅ ∠2 (vertical angles)

2. ∠1 and ∠2 are adjacent and complementary angles.

3. ∠1 and ∠2 are linear pairs and supplementary angles

4. ∠1 and ∠2 are adjacent angles

5. ∠1 and ∠2 are vertical angles

6. ∠1 and ∠2 are vertical angles and supplementary angles.

1.

Vertical angles:Vertical angles that are pair of opposite angles formed by intersecting lines. Vertical angles share the same vertex.

Therefore,

∠1 ≅ 2 (vertical angles)

2.

Adjacent angles:Adjacent angles have common sides and common vertexComplementary angle :This angles sum up to 90 degrees.

Therefore,

∠1 and ∠2 are adjacent and complementary angles.

3.

Linear pair angles:This is a pair of adjacent angles form when two lines intersect. It sum up to 180 degrees. Supplementary angles:Supplementary angles are angles that sum up to 180 degrees.

∠1 and ∠2 are linear pairs and supplementary angles.

4.

∠1 and ∠2 are adjacent angles

5.

∠1 and ∠2 are vertical angles

6.

∠1 and ∠2 are vertical angles and supplementary angles

learn more on angles here: https://brainly.com/question/18166236?referrer=searchResults

find the missing length indicated​

Answers

Answer:

25+144+X=180°

169+X=180°

X= 180-169

Therefore, x= 11°

checking process: (25+144+11= 180°)

Answer:

x = 11 i beileve!

Step-by-step explanation:

Can someone help please please

Answers

Answer:

c!

Step-by-step explanation:

Easton is deciding between two landscaping companies for his place of business. Company A charges $25 per hour and a $150 equipment fee. Company B charges $35 per hour and a $100 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.

Answers

Answer:

5 hours

Step-by-step explanation:

Company A:

Charge for an hour =$ 25

Charge for 't' hours = 25 *t = 25t

Total cost = Equipment fee + charge for t hours

  AA = 150 + 25t

Company B:

Charge for an hour =$ 35

Charge for 't' hours = 35 *t = 35t

Total cost = Equipment fee + charge for t hours

  BB = 100 + 35t

BB = AA

100 + 35t = 150 + 25t

Subtract 25t from both sides

100 + 35t - 25t = 150

           100 +  10t = 150

Subtract 100 from both sides

10t = 150 - 100

10t = 50

Divide both sides by 10

t = 50/10

t = 5

Can someone help me with this math homework please!

Answers

Answer:

it is the second statement x⇒∞ Y⇒ ∞

Step-by-step explanation:

Answer:

As the x -values go to positive infinity, the functions values go to positive infinity.

Step-by-step explanation:

Correct and fastest answer gets brainest! 12 divided 2/5

Answers

30

Answer:

12÷2/5=12*5/2=30 is a required answer

Answer:

30

Step-by-step explanation:

What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)

Answers

Answer:

1,3

Step-by-step explanation:

Answer:

(4, 2.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then

midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{2+5}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = (4, 3.5 )

Tre and Hector want to calculate the maximum possible throw at this field.


They calculate that the farthest point on the field would be the center fielder standing back at the dead center wall at point (322, 322). Suppose the center fielder threw the ball from here to home base.


How far is the throw?

Answers

Answer:

[tex]d=455.38~units[/tex]

Step-by-step explanation:

The coordinates of the dead center of the field, [tex]D\equiv (322,322)[/tex]

Home base in a coordinate system is always the origin, [tex]O\equiv(0,0)[/tex]

The center fielder threw the ball form the dead center to the home base, hence the distance of throw:

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]d=\sqrt{(322-0)^2+(322-0)^2}[/tex]

[tex]d=455.38~units[/tex]

Answer:Hector threw the ball 65 feet while Tre threw the ball 63 feet far

Step-by-step explanation:

The farthest throw would probably be around 450 feet

Paisley has 8\tfrac{1}{4}8 4 1 ​ cups of yogurt to make smoothies. Each smoothie uses \tfrac{11}{16} 16 11 ​ cup of yogurt. How many smoothies can Paisley make with the yogurt?

Answers

Given:

Total Yogurt = [tex]8\dfrac{1}{4}[/tex] cups

Yogurt required for each smoothie = [tex]\dfrac{11}{16}[/tex] cup

To find:

The number of smoothies that Paisley can make with the yogurt.

Solution:

We know that,

[tex]\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}[/tex]

Substituting the given values, we get

[tex]\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}[/tex]

[tex]\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}[/tex]

[tex]\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}[/tex]

[tex]\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}[/tex]

[tex]\text{Number of smoothies}=3\times 4[/tex]

[tex]\text{Number of smoothies}=12[/tex]

Therefore, the number of smoothies is 12.

HELP ASAP PLZ I NEED IT

Answers

Answer:

4. 38 more schools offer basketball than golf.

5. Tennis is offered in the least amount of schools.

Step-by-step explanation:

4. take the number of schools that offer basketball (321) and subtract the number of schools that offer golf (283) to get how many more offer basketball than golf.

5. look at the numbers to the side of the chart and find the lowest number (276). then follow over to the left, and you will find that the least offered sport in schools is tennis.

A set of data that shows temperature highs for 10 days and satisfies all conditions below mean:72 median:74 mode:68 range:21

Answers

Answer:

[tex]58, 68, 68, 68, 74, 74, 76, 77, 78, 79[/tex]

Step-by-step explanation:

Given

[tex]n=10[/tex]

[tex]Mean = 72[/tex]

[tex]Median = 74[/tex]

[tex]Mode = 68[/tex]

[tex]Range = 21[/tex]

Required

The complete dataset

The question has missing options (available online)

From the mean, we have:

[tex]Mean = \frac{\sum x}{n}[/tex]

This gives:

[tex]72 = \frac{\sum x}{10}[/tex]

Cross  multiply

[tex]\sum x = 72 * 10[/tex]

[tex]\sum x = 720[/tex]

This means that the sum of all elements of the dataset is 720

Next, we test the median

Since n = 10, then:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{10 + 1}{2}[/tex]

[tex]Median = \frac{11}{2}[/tex]

[tex]Median = 5.5th[/tex]

This implies that the median is the average of the 5th and 6th item.

So, we have:

[tex]Median = \frac{5th + 6th}{2}[/tex]

Cross multiply

[tex]5th + 6th = 2 * Median[/tex]

[tex]5th + 6th = 2 * 74[/tex]

[tex]5th + 6th = 148[/tex]

This means that the 5th and 6th element add up to 148

Also, we have:

[tex]Mode = 68[/tex]

This means that 68 has to appear at least twice in the dataset

[tex]Range = 21[/tex]

This implies that the difference between the highest and the least is 21.

The dataset that satisfies the above condition is:

[tex]58, 68, 68, 68, 74, 74, 76, 77, 78, 79[/tex]

the tens digit of a two digit number is 5 greater the units digit. If you subtract double the reversed number from it, the result is a fourth of the original number. Find the original number.

Answers

Given:

The tens digit of a two digit number is 5 greater the units digit.

If you subtract double the reversed number from it, the result is a fourth of the original number.

To find:

The original number.

Solution:

Let n be the two digit number and x be the unit digit. Then tens digit is (x+5) and the original number is:

[tex]n=(x+5)\times 10+x\times 1[/tex]

[tex]n=10x+50+x[/tex]

[tex]n=11x+50[/tex]

Reversed number is:

[tex]x\times 10+(x+5)\times 1=10x+x+5[/tex]

[tex]x\times 10+(x+5)\times 1=11x+5[/tex]

If you subtract double the reversed number from it, the result is a fourth of the original number.

[tex]11x+50-2(11x+5)=\dfrac{1}{4}(11x+50)[/tex]

[tex]11x+50-22x-10=\dfrac{1}{4}(11x+50)[/tex]

[tex]40-11x=\dfrac{1}{4}(11x+50)[/tex]

Multiply both sides by 4.

[tex]160-44x=11x+50[/tex]

[tex]160-50=11x+44x[/tex]

[tex]110=55x[/tex]

Divide both sides by 55.

[tex]\dfrac{110}{55}=x[/tex]

[tex]2=x[/tex]

The unit digit is 2. So, the tens digit is [tex]2+5=7[/tex].

Therefore, the original number is 72.


SOMEONEEEE HELPPP MEEEE OUTTTTTTT!!!!!

Answers

Answer:

4/3

Step-by-step explanation:

Since this is a right triangle,

tan C = opp side / adjacent side

tan C = 36/ 27

tan C = 4/3

Given: x - 7 > -2.

Choose the solution set.

A. {x | x R, x > 14}
B. {x | x R, x > -5}
C. {x | x R, x > 5}
D. {x | x R, x > -9}

Answers

SoLuTiOn~

Given set:- x - 7 > - 2

Solving It:-

x - 7 > - 2

x > -2 + 7 [Here '7' is greater than '-2' So Sign Changes To Positive]

x > 5

So Correct Solution Set Will Be

Option C= {x | x R, x > 5}

Hope This Helps You

ayuda el tema en concreto es "Métodos de solución de ecuaciones simultáneas"

Answers

Answer:

x = 3 y y = 2

Step-by-step explanation:

a) Metodo de reduccion:

Para aplicar este metodo debemos multiplcar por 3 la ecuacion 2 y sumarlas.

[tex]4x-3y=6[/tex]

[tex]5x+y=17[/tex] *3

[tex]4x-3y=6[/tex]

[tex]15x+3y=51[/tex]

-------sumamos las ecuacioens--------

[tex]19x=57[/tex]

[tex]x=3[/tex]

Ahora, remplazamos x en la ecuacion 2.

[tex]5(3)+y=17[/tex]

[tex]y=2[/tex]

b) Igualacion

Debemos despejar x en ambas y luego igualarlas

[tex]x=\frac{6+3y}{4}[/tex]

[tex]x=\frac{17-y}{5}[/tex]

Igualando:

[tex]\frac{6+3y}{4}=\frac{17-y}{5}[/tex]

[tex]5(6+3y)=4(17-y)[/tex]

[tex]19y=8[/tex]

[tex]y=2[/tex]

Ahora, remplazamos y en la ecuacion 2.

[tex]5x+2=17[/tex]

[tex]5x=15[/tex]

[tex]x=3[/tex]

c) Sustitucion

Despejamos x de la primero ecuacion y lo remplazamos en dos.

[tex]x=\frac{6+3y}{4}[/tex]

[tex]5\frac{(6+3y)}{4}+y=17[/tex]

Multiplicamos por 4

[tex]5(6+3y)+4y=68[/tex]

[tex]30+15y+4y=68[/tex]

[tex]30+19y=68[/tex]      

[tex]19y=38[/tex]  

[tex]y=2[/tex]  

Remplazando en 1.

[tex]4x-3(2)=6[/tex]

[tex]4x-6=6[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]          

               

What traumatic stressors have you faced in your life? What chronic stressors have you faced or do you currently face? What coping strategies and lifestyle choices do you employ to respond to such stressors?

Answers

Step-by-step explanation:

What traumatic stressors have you faced in your life? What chronic stressors have you faced or do you currently face? What coping strategies and lifestyle choices do you employ to respond to such stressors?

When AG = 16 ft, find the area of the region that is NOT shaded. Round to the nearest tenth.​

Answers

Answer:

730.88

Step-by-step explanation:

Area of the entire circle = pi * r^2

r = 16

Area = 3.14 * 16^2

Area = 803.84

1/4 of the circle contains the shaded area. It's area = 1/4 * 803.84

Area of 1/4 circle =

200.96

the area of the triangle

Area = 1/2 AG * G?

AG and G? are equal

Area = 1/2 * 16^2

Area = 128

Area of 1/4 circle - area of the triangle = area of the shaded portion

shaded portion = 200.95 - 128

Shaded Portion = 72.96

So the area of the unshaded part

unshaded = 803.84 - 72.96

Unshaded = 730.88

Jalen is learning to scuba dive. The equation S = 26M + 20 represents the depth he can dive in feet, S, based on the number of lessons he completes, M. How deep can Jalen dive after he takes 8 lessons?

Answers

the answer would be 228 feet.

to explain, substitute 8 in for M in the equation. that represents the number of lessons. now you have S = 26(8) + 20.

26 • 8 = 208. add 20 to that and you have S = 228 feet.

hope this helps!! :)

pls answer quick it's gr 9 academic math lol

Answers

Answer:

1. (3^3 + 3^2)^2 actually equals (27 + 9)^2

which is the first mistake

2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7

3. 3^7 DOES NOT EQUAL 21

Step-by-step explanation:

when you add powered numbers together, it does not multiply it, as your example:

1. (3^3 + 3^2)^2 actually equals (27 + 9)^2

which is the first mistake

2. (27 + 9)^2 does not equal (3^5)2, so (36)^2 does not equal 3^7

3. 3^7 DOES NOT EQUAL 21

Hi there!

Error 1

[tex](3^3+3^2)^2\\= (3^5)^2[/tex]

The student added the exponents of 3³ and 3² and wrote 3⁵. This rule can only be applied to exponents with the same base that are being multiplied. 3³ and 3² were being added, not multiplied, so this rule can't be applied.

Error 2

[tex](3^5)^2\\= 3^7[/tex]

When a power has a power, we multiply them, not add. Here is the correct way of doing it:

[tex](3^5)^2\\= 3^5^*^2\\= 3^1^0[/tex]

Error 3

[tex]3^7\\= 21[/tex]

The student multiplied 3 and 7 to get 21, but 3⁷ actually means 3 multiplied by itself 7 times. The correct answer for this part would be 2187.

I hope this helps!

A hospital uses cobalt-60 in its radiotherapy treatments for cancer patients. Cobalt-60 has a half-life of 7
years. The hospital has 228 g of cobalt-60. Calculate the amount of colbalt-60 remaining after 18 months.
Round to two decimal places.

Answers

Answer:

We have 197 g of Co-60 after 18 months.

Step-by-step explanation:

We can use the decay equation.

[tex]M_{f}=M_{i}e^{-\lambda t}[/tex]

Where:

M(f) and M(i) are the final and initial mass respectivelyλ is the decay constant (ln(2)/t(1/2))t(1/2) is the half-life of Cot is the time at the final amount of m

[tex]M_{f}=228e^{-\frac{ln(2)}{7} 1.5}[/tex]    

[tex]M_{f}=197\: g[/tex]    

Therefore, we have 197 g of Co-60 after 18 months.

I hope it helps you!

The function f(t) = 3 - t shows the cost of an ice cream sundae ($) with a different number of toppings (t). What is the slope of the function?

Answers

Answer:

-1

Step-by-step explanation:

are you sure this is the right equation ? it would mean that the more toppings the cheaper the ice cream.

but as it is written, the slope is -1.

the slope of a line is always the factor of the variable in the equation.

it is the ratio of y/x indicating how many units y is changing for a given change of x.

in our example here, if x changes 1 unit to the right (+1), then y changes 1 unit down (-1).

so, -1/+1 = -1

The slope of the function f(t) = 3 - t is -1

What is function?

"It defines a relation between input and output values."

What is the slope of the function?

"It is the rate of change of the dependent variable of the function with respect to that of the independent variable."

For given question,

We have been given a function f(t) = 3 - t

We need to find the slope of the function.

[tex]m=\frac{d}{dt}f(t)\\\\ m=\frac{d}{dt}( 3 - t)\\\\m=-1[/tex]

Therefore, the slope of the function f(t) = 3 - t is -1

Learn more about the slope of the function here:

https://brainly.com/question/9554035

#SPJ2

Will Mark brainlest help please please pease​

Answers

Answer:

6

Step-by-step explanation:

I think I just answered that question.

"image" 7 means the functional result is 7, and we need to find the value of x to make this happen.

7 = (3x - 4)/2

14 = 3x - 4

18 = 3x

x = 6

4(1)+12(x+3)-6(x-5)=4(12)+4(x)​

Answers

Answer:

x = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

4(1) + 12(x + 3) - 6(x - 5) = 4(12) + 4(x)

Step 2: Solve for x

Simplify:                                                                                                             4 + 12(x + 3) - 6(x - 5) = 48 + 4x[Distributive Property] Distribute parenthesis:                                               4 + 12x + 36 - 6x + 30 = 48 + 4xCombine like terms:                                                                                         6x + 70 = 48 + 4x[Subtraction Property of Equality] Subtract 4x on both sides:                      2x + 70 = 48[Subtraction Property of Equality] Subtract 70 on both sides:                      2x = -22[Division Property of Equality] Divide 2 on both sides:                                  x = -11
Other Questions
Which of the following factors would LIMIT carrying capacity?A. Far from factories or roadsB. A large nearby riverC. Abundant foodD. A small space to live in Yea, gonna need some help. Thanks Can you please answer me these question.I think someone like to read poem and answer the question. Mr. Johnston needs a shelf to hold a set of textbooks, each 1 3/4 in. Wide. How many books will fit on a 35-in.-long shelf? The arguments inside the parentheses of a function provide what purpose?arguments define the function categoryarguments indicate to Excel that you are starting a formulaif the arguments are incorrect the function will still work asexpectedarguments are the data that the function requires to work PLEASE HELP ill give brainliest to best and correct answer As project manager, Gabriella has discovered a major problem that could affect the remainder of the project.What should she do before deciding how to resolve the problem? Find the missing value.Hint: Use the number line to find the missing value.-5 = -8-H-15-10-5051015Stuck? Review related articles/videos or use a hint. A textbook store sold a combined total of 331 physics and sociology textbooks in a week. The number of sociology textbooks sold was 45 less than the numberof physics textbooks sold. How many textbooks of each type were sold? (ii) Differentiate x2 + 3x -4. Balance the following equations Ag (s) + H S(g) + 0 (g) Ag S() + H0 Javed is the best batsman of them all.( Convert into negative sentence) 90139is theIn the following decay equation,90Sy 38et9039-1A. alpha particleB. parent elementC. daughter elementD. beta particle How much of a circle does a 100-degree angle turn through?A.1B.100/180C.50/360D.100/360 What is the product of 2x and 4x23xy+y2?A.6x3x2y+xy2B.8x36x2y+2xy2C.2x3x2yxy2D.6x35x2y+2xy2E.8x3+6x2y2xy2Please help Read these sentences from a famous speech made by President Roosevelt in 1941.Yesterday, December 7th, 1941 a date which will live in infamy the United States of America was suddenly and deliberately attacked by naval and air forces of the Empire of Japan. The United States was at peace with that nation and, at the solicitation of Japan, was still in conversation with its government and its emperor looking toward the maintenance of peace in the Pacific. President Franklin D. Roosevelt, 1941To which event was the president referring? Gracias a la nutricin los seres vivos logran:A. Suplir sus necesidades energticas, es decir que obtienen la energa necesaria para realizar todas las actividades: saltar, cazar, nadar, masticar, parpadear, entre muchas otras.B. Reparar estructuras deterioradas, ya que en la nutricin se obtienen sustancias como las protenas, que en el proceso pueden ser incorporadas como parte del organismo.C. Crecer y renovar sus clulas, en tanto que la nutricin proporciona la materia y la energa necesarias para que las clulas se reproduzcan o aumenten su tamao.D. Todas las anteriores. Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers. Let y = the total amount of money Justin has, and x is in weeks. Which statement describes the VSEPR theory?A. Electron pairs in the valence shell of an atom have a tendency to attract other nearby electron pairs.B. Electrons in the valence shell of an atom exert a repulsive force on other atoms while forming a chemical bond.C. Electron pairs in the valence shell of an atom exert a repulsive force on all other electron pairs in the valence shell of the atom.D. Electrons in the valence shell exert a repulsive force while completing their octet during the formation of chemical bond. If the Miller's spend $1200 on housing each month, then what is their total monthly budget?