56:31
Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?

Answers

Answer 1

Answer:

The equation is (2+x) / 4 = 3

Total amount of chopped vegetables = 10 pounds

Step-by-step explanation:

Meat=2 pounds

Vegetables=x

Mixture= 2+x

She divides the mixture into 4 equal portions

(2+x)/4

Each portion weighs 3 pounds

(2+x)/4=3

Solve the equation

(2+x)/4=3

Cross product

(2+x) = 4 × 3

2+x=12

x=12-2

=10

x=10 pounds

Total amount of chopped vegetables = 10 pounds


Related Questions

A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate

Answers

Answer:

the equilibrium expected growth rate is 6.65%

Step by step Explanation:

We were given stock sold per share of $32.50

Dividend per share =$1.25

Required Return rate = 10.5%

Then we can calculate Percentage of Dividend for share as;

dividend of br. 1.25 per share at the end of the year (D1=br.1.25)

= 1.25×100= 125

Let the dividend percentage = y

stock sold per share × y= 125

125= 32.50y

y = 125/32.50

y= 3.85

y= 3.85*100%

Then the Dividend percentage = 3.85%

Growth rate=(required rate of return -Dividend percentage)

= 10.5 - 3.85 = 6.65

Therefore, the equilibrium expected growth rate is 6.65%

What roles did militias play in the American Revolution? Your answer:

Answers

Hey there! I'm happy to help!

A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.

I hope that this helps! Have a wonderful day! :D

7th Grade Math Answer ASAP Please <3

Answers

Answer:

Hey there!

Andrew made a mistake in the last step. -11.8+9.8=2, not -21.6.

Let me know if this helps :)

plz help ASAP!!!!!!!!!!!
WILL MARK BEAINLIST!

Answers

Answer: Choice D

If you have a single straight vertical line cross the curve at more than one point, then you do not have a function. In other words, if an x input leads to multiple outputs, then you don't have a function.

(10 points) Can someone graph this :) Thanks :P

Answers

Answer:

Hey there!

Your answer is:

Hope this helps :)

you went to the restaurant and you paid $28 for food. you decide to tip the waiter 15% and pay tax 10%. what was the final bill after tip and tax?

Answers

Answer: 35 dollars

==================================================

Work Shown:

15% of 28 = 0.15*28 = 4.20 is paid as a tip

10% of 28 = 0.10*28 = 2.80 is paid as tax

28+4.20+2.80 = 35 dollars is the final bill after both tip and tax are included.

I NEED HELP ASAP PLEASE!!!



Q2 If 2w + 7 = ─9, what is the value of 15 – 4w? (4 is negative)






Q3 Solve the following equations: a) 3/4(16m − 24) = –48 (24 is negative) b) –20 = 1/6(36 + 12g)

Answers

Answer:

Q2: -17

Q3: a) -5/2  b) g = -13

Step-by-step explanation:

2w+7 = -9

2w = -9 - 7

w = -16/2

w = -8

---

15 - 4w

= 15 - 4(-8)

= 15 - 32

= -17

----------------------

Q3:

a) 3/4(16m-24) = -48

16m -24 = -48 ÷ 3/4

16m = -64 + 24

16m = -40

m = -5/2

b) -20 = 1/6(36+12g)

-20 = 1/6 × 6(6+2g)

(cross out the 6 from 1/6 and 6)

-20 = 6 + 2g

-20-2g= 6

-2g = 6+20

-2g = 26

g = 26/-2

g = -13

What is the value of this expression? (the best answer receives a brainiest)

Answers

Answer:

answer is D

Step-by-step explanation:

2^4=16

16+(16-12)=20

over

(6+9)/(7-4)

15/3=5

so the new equation is 20/5=4

Answer:

D. 4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Exponents

[tex]\frac{16 + (16 -3(4))}{(6+9)/(7-4)}[/tex]

Step 2: Parenthesis

[tex]\frac{16 + (16 -12)}{15/3}[/tex]

Step 3: Parenthesis

[tex]\frac{16 + 4}{15/3}[/tex]

Step 4: Divide

[tex]\frac{16 + 4}{5}[/tex]

Step 5: Add

[tex]\frac{20}{5}[/tex]

Step 6: Divide

4

What is the answer for 3x+2(4x-4)=3?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{x = 1}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3x + 2(4x - 4) = 3}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]

Collect like terms

⇒[tex] \sf{11x - 8 = 3}[/tex]

Move 8 to right hand side and change it's sign

⇒[tex] \sf{11x = 3 + 8}[/tex]

Add the numbers

⇒[tex] \sf{11x = 11}[/tex]

Divide both sides of the equation by 11

⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]

Calculate

⇒[tex] \sf{x = 1}[/tex]

Hope I helped!

Best regards!

Answer:

x=7/20

Step-by-step explanation:

you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same

3x(4×)=12x

3x(4)=12

2(4x)=8x

2(4)=8

write it as an equation and find the like terms

12x-12+8x-8=3

20x-4=3

Then add 4 and divided

20x-4=3

+4 +4

20x/20=7/20

the is a fraction

x=7/20

solve the following (x-2)+4=3x-2

Answers

Answer:

[tex]\boxed{x = 2}[/tex]

Step-by-step explanation:

Hey there!

To find x we need to finagle it out by combining like terms and using the communicative property.

x - 2 + 4 = 3x - 2

Simplify

x + 2 = 3x - 2

-x to both sides

2 = 2x - 2

+2 to both sides

4 = 2x

Divide both sides by 2

x = 2

Hope this helps :)

Answer:

Hey there!

(x-2)+4=3x-2

x-2+4=3x-2

x+2=3x-2

4=2x

x=2

Hope this helps :)

evaluate x³ for x=2.

Answers

Answer:

8

Step-by-step explanation:

If we have anything to the third power, we are multiplying the number by itself 3 times.

If x = 2, then the expression is [tex]2^3[/tex].

[tex]2\cdot2\cdot2=8[/tex]

Hope this helped!

Answer:

8

Step-by-step explanation:

Exponents is repeated multiplication, so what we are doing in this problem is that we are multiplying 2 by itself 3 times.

2 * 2 = 4

4 * 2 = 8

The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50

Answers

Answer:

C. 43.3

Step-by-step explanation:

The mean or average of a data set can be found by adding up all the values and dividing by the number of values.

1. Add up all the values

The values:  46, 40, 50, 43, 35, 41, 50, 42, 38, 48

Add them together:  46 +40+50+ 43+35+41+50+ 42+38+48

433

2. Divide by the number of values

Count how many numbers are in the set of data.

Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48

10 values

Divide 433 by 10

433/10

43.3

The mean of the set of data is 43.3 and the correct answer is C.

Answer:

43.3

Step-by-step explanation:

I added up all the numbers and divided by the number of numbers.

SOMEONE PLZ HELP ASAP !!!!!!

Answers

Answer:

a = 53.13

b = 42.76

c= 0

Step-by-step explanation:

as the question said i was supposed to use a calculator which i did

Ms. Brown needs 8 eggs in order to make 2 cakes. What is the total number of cakes she could make with 24 eggs?

Answers

Answer:

Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.

Hope this helps!

What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?

Answers

Answer: (-6,8)

Step-by-step explanation:

Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distance

Translation rules are

Left c units : [tex](x,y)\to(x-c,y)[/tex]

Down c units : [tex](x,y)\to(x,y-c)[/tex]

The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:

[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]

Hence, the image point is (-6,8).

plz help thanks, will give brainliest!​

Answers

Answer:

D.

Step-by-step explanation:

[tex]\frac{x^{2/3}}{y^{-3/4}}[/tex]

= [tex]x^{2/3}y^{3/4}[/tex]

= [tex]\sqrt[3]{x^2} * \sqrt[4]{y^3}[/tex]

So, D is your answer.

Hope this helps!

About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.


183 meters

250 meters

366 meters

683 meters

Answers

Answer:

A. 183 meters

Step-by-step explanation:

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters

Find distance BC

Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)

Cos (60°)=1/2

BC=a

AB=500

Cos (60°)=BC / AB

1/2=a/500

1/2 * 500=a

250=a

a=250m

Find distance AC

Sin(60°)=AC/AB (opposite side divided by hypotenuse)

Sin(60°)=√3/2

AC=b

AB=500

Sin(60°)=AC/AB

√3/2=b/500

√3/2 * 500=b

250√3=b

b=433m

Distance AC and BC=AC+BC

433m+250m=683m

Subtract the distance AB from AC+BC

= 683m - 500m

=183m

Answer is A. 183 meters

Answer:

A. 183 meters

Step-by-step explanation:

sin(60) = x/500

= 433

tan(60) = 433/x

= 250

This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.

683-500=183!

1.2 Exit Ticket
POSSIBLE POINTS: 0.5
Below are the total number of students for each teacher in the Arts department. Round to the nearest tens place in order to estimate the total amount of
students enrolled in an art course,
132, 145, 97, 112, 128, 82
1
2
RE

Answers

Answer:

174

Step-by-step explanation:

Given

132, 145, 97, 112, 128, 82

Required

Estimate amount of students in an art class

This is calculated by obtaining the mean of the given data

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

Where n is the number of observations

So;  n = 6

[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]

[tex]Mean = \frac{696}{6}[/tex]

[tex]Mean = 174.0[/tex]

Hence, the estimated number of students is 174

Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution

Answers

Answer:

A triangle with angles:

"45°, 45°, 90°"

Is a triangle rectangle, with two catheti of equal length.

Now, there is a lot of problems that you can solve with this:

"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"

Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)

And because the catheti are equal, then the angles are 45°, 45° and 90°.

Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x square +5 ​

Answers

Answer:  [tex]x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}[/tex]

Step-by-step explanation:

P(x) = x⁴ - 3x² + 4x + 5

g(x) = x² + 5

         _x²_- 8                          

x² + 5) x⁴ + 0x³ - 3x² + 4x + 5

        -(x⁴ + 0x³ + 5x²)  ↓     ↓  

                         -8x² + 4x  + 5

                       -(-8x² + 0x - 40)

                                    4x + 45

[tex]\dfrac{x^4-3x^2+4x+5}{x^2+5}=\large\boxed{x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}}[/tex]

Three friends are at a carnival. Beth goes on 2 rides for $5.00. Zane goes on 5 rides for $12How much does it cost Tina to go on 9 rides?.50.

Answers

Answer:

$22

Step-by-step explanation:

Beth=$5.00 for 2 rounds

Zane=$12 for 5 rounds

Tina=$x for 9 rounds

Find x

9 rounds=5 rounds + 2 rounds + 2 rounds

5 rounds costs =$12

2 rounds costs=$5

2 rounds costs=$5

Then,

5 rounds + 2 rounds + 2 rounds= $12 + $5 + $5

9 rounds=$22

It will cost Tina $22 to go on 9 rounds

Sally's house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at the midpoint of Sally's house and school. What coordinate represents Molly's house? A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)

Answers

Answer:

B. (-2, 3)

Step-by-step explanation:

Given two coordinates (x₁, y₁) and (x₂, y₂), the coordinate of their midpoint is equivalent to X = (x₁+x₂)/2 and Y = (y₁+y₂)/2.

Given the coordinate of Sally's house and  her school to be (5, −1) and  (−9, 7) respectively, the midpoint of Sall's house and school is expressed as shown;

from the coordinates, x₁ = 5, y₁ = -1, x₂ = -9 and y₂ = 7

X = (5+(-9))/2

X = 5-9/2

X = -4/2

X = -2

Y = -1+7/2

Y = 6/2

Y = 3

The coordinate of the midpoint of Sally's house and school will be expressed as (X, Y) which is equivalent to (-2, 3).

OI
If sec 50° = a and cot 40° = b, find the value of a2 - b2.​

Answers

Answer:

a² - b² = 1

Step-by-step explanation:

The given parameters are;

sec 50° = a

cot 40° = b

We note that sec(θ) = 1/cos(θ) and cot(θ) = 1/tan(θ)

a² - b² = sec²50° - cot²40°  

Given that sec(90 - θ) = cosec(θ) where; cosec(θ) = 1/sin(θ),  we have;

sec²50° - cot²40°  = sec²(90° - 50°) - cot²40° = sec²(40°) - cot²40°

sec²(40°) - cot²40° = cosec²(40°) - cot²40°

Also we have;

cosoc²(θ) = 1 + cot²(θ)

Therefore, we have;

cosoc²(40°) - cot²40° = 1 + cot²(40°) - cot²40°  = 1

Therefore, where sec(50°) = a and cot(40°) = b, the value of a² - b² is 1.

An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population increases by 10%, how many ants will be in the colony 5 days later? *

Answers

Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.

Acrobat Ant

Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.

Answer:

81

Step-by-step explanation:

Start: 50

After 1 day: 50 * 1.1

After 2 days: 50 * 1.1 * 1.1 = 50 * 1.1^2

After 3 days: 50 * 1.1^2 * 1.1 = 50 * 1.1^3

...

After 5 days: 50 * 1.1^5 = 80.53

Answer: 81

Gavin combines Thirty-two and two-fifths ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the most reasonable estimate for the amount of liquid in the pitcher? 39 ounces 42 ounces 45 ounces 47 ounces

Answers

Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

Find the mean of the given frequency distribution table

Answers

Answer:

Mean = 32.8

Step-by-step Explanation:

Mean is given as Mean = (Σfx)/Σf

First, find the mid-point, x, of each class, and multiply by the frequency (f) of the class to get fx:

Class ==> f ==> x ==> fx

0-10   =>  3   =>  5  => 15

10-20 =>  8  => 15 => 120

20-30 => 10 => 25 => 250

30-40 => 15 => 35 => 525

40-50 =>  7  => 45 => 315

50-60 =>  4  => 55 => 220

60-70 =>  3  => 65 => 195

Sum the fx of all classes together to get Σfx:

Σfx = 15 + 120 + 250 + 525 + 315 + 220 + 195 = 1,640

Σf = 3 + 8 + 10 + 15 + 7 + 4 + 3 = 50

(Σfx)/Σf = [tex] \frac{1,640}{50} [/tex]

(Σfx)/Σf = [tex] 32.8 [/tex]

Mean = 32.8

Please Help ! File is attached

Answers

Answer:

Domain: 0 </= x </= 20

Range 0 </= y </= 10

Step-by-step explanation:

Domain is the x values, so 0 to 20, and range is the y values, so 0 to 10

Evaluate the following expression if v = 5 and w = -3: 6v - w. Type the number answer only. For example: if the answer was value is 17, then you would type 17 in the blank.

Answers

Answer:

33

Step-by-step explanation:

6v - w =

6(5) - (-3) =

30 + 3 =

33

Help me please
!!!!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

Angle Formed by Tangent and Secant = 1/2 (DIFFERENCE of Intercepted Arcs)

< WVT = 1/2 ( WT - UW)

3x+4    = 1/2 (( 14x +7) - (7x+11))

Distribute

3x+4    = 1/2 ( 14x +7 - 7x-11)

Combine like terms

3x+4    = 1/2 ( 7x -4 )

Multiply each side by 2

6x +8 = 7x-4

Subtract 6x from each side

+8 = x-4

Add 4 to each side

12 =x

WVT = 3x+4

        = 3*12 +4

       = 36+4

       = 40

How many gallons of 30% alcohol solution and how many of 60% alcohol solution must be mixed to produce 18 gallons of 50% solution?

Answers

Answer:

x = 6 gallons (of 30% alcohol)

y = 12 gallons (of 60% alcohol)

Step-by-step explanation:

Let

x = liters of 30% alcohol

y = liters of 60% alcohol

There are two unknowns, we need two equations

x + y = 18. (1)

0.30x + 0.60y = 0.50(x+y) (2)

From (1)

x + y = 18

y = 18-x

Substitute the value of y into (2) and solve for x:

0.30x + 0.60y = 0.50(x+y)

0.30x + 0.60(18-x) = 0.50(x+18-x)

0.30x + 10.8 - 0.60x = 0.50(18)

10.8 - 0.30x = 9

-0.30x = -1.8

Divide both sides by -0.30

x = 6 gallons (of 30% alcohol)

Substitute x=6 into (1) and solve for y:

x + y = 18

6 + y = 18

y = 12 gallons (of 60% alcohol)

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Which statement about friction is true? (1 point)oStatic friction and kinetic friction in a system always act in opposite directions of each other and in the same direction as theapplied forceStatic friction and kinetic friction in a system always act in the same direction as each other and in the opposite direction of theapplied forceStatic friction and kinetic friction in a system always act in opposite directions of each other and in the opposite direction of theapplied forceOStatic friction and kinetic friction in a system always act in the same direction as each other and in the same direction as theapplied force. Trevor thought there would only be 8 teams in the soccer tournament, but there were 17. What was his percent error? Qu caractersticas crees que deben tener los mtodos anticonceptivos para ser eficaces en el control de la natalidad? os austracos tentaram unificar os estados germnicos, mas lutaram contra as tentativas de unificao nacional dos estados italianos. Por que eles no queria a itlia unificada? Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9 The bowling scores for six people are:27, 142, 145, 146, 154, 162What is the most appropriate measure of center?O A. The standard deviationO B. The rangeO C. The medianO D. The mean A 1.362 g sample of an iron ore that contained Fe3O4 was dissolved in acid with all of the iron being reduced to iron (II). The solution was acidified with sulfuric acid and titrated with 39.42 mL of 0.0281 M KMnO4, which oxidized the iron (II) to iron (III) while reducing the permanganate to manganese (II). Generate the balanced net ionic equation for the reaction. What is the mass percent of iron in this iron ore sample? Which component would halt yeast activity when making bread? A. warm water B. sugar C. cold water D. salt Rule 103 of Regulation M requires that a market maker in a stock that is also a syndicate member in an "add-on" offering of that issue, during the 20-day cooling off period:__________ i will rate you brainliest Which was the lowest of the four social classes in New Spain? A) Indians B) criollos C) peninsulares D) mestizos It is known that 80% of all brand A external hard drives work in a satisfactory manner throughout the warranty period (are "successes"). Suppose that n= 15 drives are randomly selected. Let X = the number of successes in the sample. The statistic X/n is the sample proportion (fraction) of successes. Obtain the sampling distribution of this statistic. How many significant figures does each value contain? 5.6803 kg has significant figures. 0.00047 seconds has significant figures. 0.240 miles has significant figures. Fill in the blanks and explain the pattern.4.25, 4.5,__,__,__,5.5,__,6.0 Figure a is a scale image of figure b. what is the value of x? please answer asap! Reading essays reveals a dark side to Manifest Destiny. What is that dark side?A.American imperialismB. American slaveryC.unplanned deaths of Native Americans caused by diseaseunplanned deaths of settlers from conflicts Dan weighs 205 pounds but is only 5 feet 8 inches tall. Evan is 6 feet tall. How much would you expect Evan to weigh if they have the same height/weight ratio? WILL MARK BRAINLIST shirley purchased a plot of land for $19,500. the land appreciates about 3.9% each year. what is the value of the land after 5 years A number is chosen at random from the set of consecutive natural numbers $\{1, 2, 3, \ldots, 24\}$. What is the probability that the number chosen is a factor of $4!$? Express your answer as a common fraction. Find the intervals on which the function f(x) = ax2 + bx + c (where "a" doesn't = 0) is increasing and decreasing. Describe the reasoning behind your answer.