Part 1: Serena's drawing
Follow these steps to find the angles of the trapezoids in Serena's drawing. If the angles of her
trapezoid match the angles of the trapezoid stone, then her drawing is correct.

Answer:

2.5 gallons (B)

Step-by-step explanation:

1 gallon is equal to 4 quarts. So, if Mary bought 10 quarts, that is 10/4 gallons. Simplified, 10/4=5/2=2.5 gallons.

Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.

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

Part B will have you replace x with 8 and simplify

length = x+15 = 8+15 = 23

width = x+3 = 8+3 = 11

the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards

Answer:

Below

Step-by-step explanation:

As we see the area is expressed as second degree polynomial

We have already a side wich is (x+15)

● x^2 +18x + 45 = w × (x+15)

● w = (x^2 +18x+45)/(x+15)

Using the eucledian division we get:

● w = x+3

Since x^2 +18x +45 = (x+15) × (x+3)

So your answer was right

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the dimensions if x= 8 yards

● the length

x+15 = 8+15 = 23 yards

● the width

x+3 = 8 + 3 = 11 yards

● the area

(x+15)×(x+3) = 23 × 11 = 253 yards^2

P=20x-0.01x^2-240

P=20(300)-0.01(300)^2-240

P=6000-0.01(90000)-240

P=6000-900-240

P=4860

Remember PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

EXPLANATION: first Is Parentheses, which would be 300, multiply that by 20, that would be 6000.

Next is Exponents, which would be the (^2) so you would Multiply the 300 by itself 2 times. which is 90000

Next is Multiplication, Multiply 0.01 by 90000, which would be 900.

There is nothing to divide or add so skip that.

Next is subtraction, subtract 6000-900-240 and the answer would be 4860.

so Faith's prediction profit for this season would be 4860 when her orchard produces 300 bushels of apples.

I hope that helped! Good Luck!

Answer:

x = 1

Step-by-step explanation:

−31−4x=−5−5(1+5x)

First step is to simplify both sides

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)

distribute

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)

and combine like terms

−4x−31=−25x+−10

−4x−31=−25x−10

Then add 25x to both sides

−4x−31+25x=−25x−10+25x

21x−31=−10

Add 31 to both sides

21x−31+31=−10+31

21x=21

And divide by 21!

21x/21 = 21/21

x=1

Answer:

X=1

Step-by-step explanation:

First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)

Answer:

C. 27 pages

Step-by-step explanation:

First, add all of the numbers together

15+19+46

That would be 80.

Then, once you have the numbers added, divide the number you by how many numbers there are.

80 divided by 3 = 26.7 (rounded)

Now that you have the answer 26.7, that tells you that the answer is 27 pages.

Answer:

c.27

Step-by-step explanation:

You have to add 46,15, and 19 together which gets you 80. Then you divide it by 3 and you get 26.(something) since its a decimal, you need a whole number. You round to 27 because its the closest. (When finding the mean, you must add the numbers and divide by how many numbers there are (3))

Answer:

-10

Step-by-step explanation:

-p+8-9=9

-p-1=9

-p=10

p=-10

Answer:

[tex]x > 1610[/tex]

Step-by-step explanation:

Given that the empire fell in 1610

Required

Represent years after the fall of the empire using inequality

From the question, we understand that

1. x represent years

2. The empire fell in 1610

This implies that, years before (and including) 1610 are invalid and we only have to consider years after 1610;

Years such as 1611, 1612, 1613.......

All the aforementioned years are greater than 1610;

The keyword is greater than 1610

And this can be represented as [tex]x > 1610[/tex]

Answer:

width = 10

length = 2 (10) + 7 = 27

Step 1:

If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.

Step 2:

We can solve this by using this equation:

2w + 7 + w = 37

Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.

2w + w = 30

Add the w's together:

3w = 30

And then divide both sides by 3 to get:

w = 10

Step 3:

Now, we can plug in w into our equation to solve for the width and length.

width = 10

length = 2 (10) + 7 = 27

_____2w+7_____

|                             |  w

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

Answer:

Step-by-step explanation:

Given two  series A and B;

Series A: 10 + 4 +8/5 + 16/25 + 13/125 + ...

Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...

Both series are geometric series since they have the same common ratio. Given the geometric series T₁, T₂, T₃, T₄..., the common ratio r is expressed as [tex]\frac{T_2}{T_1} =\frac{T_3}{T_2} =\frac{T_4}{T_3} = r[/tex].

a) For series A, Given T₁ = 10, T₂ = 4, T₃ = 8/5 and T₄ = 13/125

Its common ratio is expressed as [tex]\frac{4}{10} =\frac{8/5}{4} =\frac{13/125}{8/5} = 2/5[/tex]

Hence the common ratio of series A is 2/5

The sum to infinity of the geometric series will be expressed as [tex]s_\infty = \dfrac{a}{1-r}[/tex]

Note that the sum to infifnity is used since the series is tending to infinity.

a is the first term if the series = 10

r - 2/5

On substituting this values into the formula;

[tex]s_\infty = \dfrac{10}{1-2/5} \\\\s_\infty = \dfrac{10}{3/5} \\\\s_\infty = 10* 5/3\\s_\infty = 50/3[/tex]

Hence the sum of the series is 50/3

b) For the series B;

Series B: 1/5 + 3/5 + 9/5 + 27/5 + 81/5 +...

The common ratio of the series is expressed as shown;

[tex]\frac{3/5}{1/5} =\frac{9/5}{3/5}= \frac{27/5}{9/5 } = r\\ r = (3/5 * 5/1) = 9/5*5/3 = 27/5*5/9 = 3[/tex]

Hence its common ratio is 3.

Sun of the series is expressed similarly as:

[tex]s_\infty = \frac{a}{1-r}\\ s_\infty = \frac{1/5}{1-3}\\\\s_\infty = \frac{1/5}{-2}\\\\[/tex]

[tex]s_\infty = 1/5 * -1/2\\s_\infty = -1/10[/tex]

Hence the sum of series B is -1/10

Answer:

watch 11:39 . clock is 11:24 .    210m .    1mm .   12 degrees . 3/4hrs .    

Step-by-step explanation:

Step-by-step explanation:

10. It says the watch is 9 minutes fast and the time announced is 11:30 that will be 9 minutes added to the 11:30 which will give 11:39

Now, for the clock , it says the clock is 6 minutes slow, that will be 11:30 - 6 minutes the six minutes will be minused from the 30 minutes which will give 11:24

11. since it is 10 m above the ground and the full length is 220 m which part of is under the ground since we are given the length above the ground in order to find the length of the ground we say 220-10 which will give 210

so the distance of the bottom of the drill from there ground level is 210

12. x + 5

x - 3

to give their difference that will be 5+3 which will be 8

cross check

using 5 to represent x

5+5 =10

5-3 =2

the difference between them is 8 you can use another number to represent x but the difference will still be 8

13. To find the temperature if the frozen meat that will be 34 + 22 degree that gives 56

14. it says she was at the airport 1hr 30 minutes before the appointed time so if the plane was to take off by 9:00 that means she reached there 7:30 then it was 9:00 the plane was late again for 3/4 of hour late so 60 minutes makes up an hour that gives 60×3/4 that gives 45 meaning the plane was late for another 45 minutes how long does she wait that gives 1hr 30 minutes plus 45 minutes convert all to minutes =60 minutes + 30 minutes + 45 minutes which is 135 minutes convert to hour 2 minutes gives 120 seconds so 135-120 =15

so she waited at the airport for 2 hrs 15 minutes

15. since out of the 6400 Dani he paid his debt of 600 and gave it sola who has only 1900

that will be 6400-600 and 1900+600

so sola has 2500 while Dani has 5800

16. she can only pay back 40

B. (not sure)

17. meaning the sister owes 800 naira

b. by 1700+800 =2500

18. that gives 950000-97000 =853000

Answer:

2

Step-by-step explanation:

The number of oranges he has is a multiple of 6, so the number can be

6, 12, 18, 24, 30, 36, 42, 48, 54, etc.

He sells one orange, so now he an have:

5, 11, 17, 23, 29, 35, 41, 47, 53, etc.

All numbers above up to 53 are multiples of 1, so n can be 1.

Also 5 and 35 are multiples of 5, so n can be 5.

All numbers other than 5 and 35 are prime.

Answer: 2

Answer:

C=252

Step-by-step explanation:

Given:

x^5y^5

(x+y)^10

Find the coefficient of x^5y^5

To get the coefficient of x^5y^5,

we will put r = 5, in the below given general term.

The general term is : nCr =x^ry^n-r

We get:

Coefficient is = 10C5

= 10!/5!*5!

= 252

The coefficient of x^5y^5 is 252

C. 252

Answer: 11x - 8y = -9

Step-by-step explanation:

Subtract it by terms.

8x - (-3x) = 11x  

-4y - (4y) = -8y

-4-5= -9    

order it

11x - 8y =-9

Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

Answer:

your anwser is 4 x + 2 y − 3 z − 3

Step-by-step explanation:

Simplify:4 x + 2 y − 3 z − 3

Answer:

4x + 2y - 3z -3.

Step-by-step explanation:

2x+5y+z-6)+(6x-4y-z+7)+(-4x+y-3z-4)

Removing the parentheses:

= 2x + 5y + z - 6 + 6x - 4y - z + 7 - 4x + y - 3z - 4

Bringing like terms together:

= 2x + 6x - 4x + 5y - 4y + y + z - z - 3z - 6 + 7 - 4

Simplifying like terms we have:

4x + 2y - 3z -3.

Answer:

9 < [tex]\sqrt{88}[/tex] < 10

Step-by-step explanation:

[tex]\sqrt{88}[/tex] = 9.38083152

Answer:

Third option

Step-by-step explanation:

Notice that √88 is close to √81 wich is 9.

● √88 is greater than √81 so it is greater than 9.

● √88 is less than √100 wich is 10

● so √88 is between 9 and 10

Answer:

3*3+1=10

4*4+5=21

Step-by-step explanation:

You square the number in the first box

3*3=9

4*4=16

And add the number in the second box with the result.

3*3=9+1=10

4*4=16+5=21

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

We must square the number on the left box, then add with the number in the right box to get the result in the boxes below.

3² + 1 = 9 + 1 = 10

4² + 5 = 16 + 5 = 21

Answer:

= 48 miles/hour

Step-by-step explanation:

Speed=distance/time

Speed = 36/0.75

Answer:

D). 137

Step-by-step explanation:

1). 40 % of 50 = 20

  50 + 20 = 70

2). 40 % 70 = 28

  70 + 28 = 98

3). 40 % of 98 = 39.2, basically 39

   98 + 39 = 137

137 is the right answer

Pls make my answer brainiest))))

Answer:

-4(y-3)

Step-by-step explanation:

you need to factor out the 2 from the expression, add common like terms, factor out -2 from the expression, multiply a positive and a negative to get a negative, then multiply the numbers, and you'll get your answer

Answer:

  all values except one (-2)

Step-by-step explanation:

The function heads off toward infinity at x=-2, so it is not defined there. The function is defined for all values except one.

Answer:

Boys = 114

Girls = 145

Step-by-step explanation:

Boys = b

Girls = 2b-83

b+2b-83=259

3b=259+83

3b=342

b=114

Boys = b = 114

Girls = 2b-83=228-83=145

The number of boys is 114 and the number of girls is 145

The given expression in algebraic form is written as:

let the number of boys = b

then, the number of girls, g = 2b - 83

given total number of students, t = 259

To find:

Set the following equations to find the number of boys and girls:

number of boys + number of girls = total number of students

[tex]b + g = 259\\\\b + 2b -83 = 259\\\\3b = 259+83\\\\3b = 342\\\\b = \frac{342}{3} \\\\b = 114\\\\The \ number \ of \ girls = 2(114) - 83 = 145[/tex]

Thus, the number of boys is 114 and the number of girls is 145

Learn more here: https://brainly.com/question/17765207

Answer:

2

Step-by-step explanation:

The mode is the number that appear most often

The number with the most dots is 2

The mode is 2

The mode in any data set is the number that gets represented the most.

As you can see on the plot, the number that gets represented the most is 2.

Best of Luck!

Answer:

(A) The y-intercept of the line is 1.82.

(B) The number of games that could be won after 13 months of practice is 26.

Step-by-step explanation:

The data from the provided graph is:

X Y

0 1

1 3

2 5

3 9

4 10

5 12

6 13

7 14

8 17

9 18

10 20

Here,

X : Number of Months of Practice

Y : Number of Games Won

(A)

Compute the y-intercept of the line as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot \sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]

   [tex]=\frac{122\cdot 385-55\cdot 814}{11\cdot 385-(55)^{2}}\\\\=1.818\\\\\approx 1.82[/tex]

The y-intercept of the line is 1.82.

The y-intercept is the average value of the dependent variable, here the number of games won, when the value of the independent variable, here number of months of practice, is 0.

So, a y-intercept of 1.82 indicates that on average 1.82 can be won if the number of months of practice is 0.

(B)

Compute the slope as follows:

[tex]b=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}[/tex]

  [tex]=\frac{11\cdot 814-55\cdot 122}{11\cdot 385-(55)^{2}}\\\\=1.855\\\\\approx 1.86[/tex]

The equation for the line of best fit in slope-intercept form  is:

[tex]y=1.82+1.85x[/tex]

Predict the number of games that could be won after 13 months of practice as follows:

[tex]y=1.82+1.85x[/tex]

  [tex]=1.82+(1.85\timex 13)\\=25.87\\\approx 26[/tex]

Thus, the number of games that could be won after 13 months of practice is 26.

Answer:

Step-by-step explanation:

405÷180=2×180+45,45°

750=180×4+30,30°

-210+180=-30,30°

495÷180=2×180+135,180-135=45°

-660°+360=-300°+360=60,60°

480-360=120,180-120=60,60°

Answer:

mean = 254.6

median = 120

mode = 60

midrange = 958

For average data sets i prefer by finding the mean

Step-by-step explanation:

mean :

(98+120+493+206+73+102+183+870+76+60+60+112+147+1018+201) ÷ 15 = 254.6

median : 60 60 73 76 98 102 112 120 147 183 201 206 493 870 1018

find the middle number

= 120

mode :

number that is more than one

= 60

midrange :

highest number - smallest number

= 1018 - 60

= 958

Answer:

36

Step-by-step explanation:

(216) ^ (2/3)

Rewriting 216 as 6^3

(6^3) ^ (2/3)

We know that a^ b^c = a^ (b*c)

6 ^ (3*2/3)

6^2

36

Answer:

work is shown and pictured