Ben bowled 156 and 186 in his first two games. What must he bowl in his third game to have an average of at least 160​?

Answer:

The correct answer is A. 1.5w² + 5w + 4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the portrait = 1.5 times its width in inches

Frame = 2 inches all along its perimeter

2.  What is an expression for the area of  the framed portrait in terms of w?

Let's recall that the area of a rectangle is length or height * width.

A = height * width

Now, we can replace in terms of w:

A = 1.5w * w

But we need to add the 2 inches of the frame, this way:

A = (1.5w + 2) * (w + 2)

A = 1.5w² + 2w + 3w + 4

A = 1.5w² + 5w + 4

The correct answer is A. 1.5w² + 5w + 4

Final answer:

The expression for the area of the framed portrait in terms of w is 1.5w^2 + 8w + 8.

Explanation:

To find the expression for the area of the framed portrait, we need to consider the dimensions of both the portrait and the frame. Let's assume the width of the portrait is w inches. According to the given information, the height of the portrait without the frame is 1.5 times the width, so the height is 1.5w inches.

To calculate the dimensions of the framed portrait, we need to add 2 inches to the width and height for the frame. The width of the framed portrait is w + 2 inches, and the height is 1.5w + 2 inches.

The area of the framed portrait is equal to the product of its width and height. Therefore, the expression for the area, in terms of w, is (w + 2) * (1.5w + 2). When we simplify this expression, we get 1.5w2 + 8w + 8.

Answer:

0.5

Step-by-step explanation:

Answer:12 baskets - 19pts

2×7= 14pts

1×5= 5pts

Therefore: (7+5) baskets= (14+5)pts

> 12 baskets = 19pts

Step-by-step explanation:

For a 2-point shots to make 14pts, there will be 7 baskets/throws.

A free throw shot is 1pts, so there has to be about five (5) free throws which will make 5pts.

Therefore, there will be (7+5 baskets) 12 shots in total.

2-point shots = 7

1-free throws = 5

Answer:

what is your problem in the figure

Answer:

Here are a couple questions I came up with myself! Feel free to use one!

Step-by-step explanation:

This chart is asking “ Well, we have data and we want you to make a question out of it”

So,

“How much was the population in Suwanee?”

“How much more is the population in Cartersville than Lilburn?”

“If you add the population of Cartersville, Suwanee, Lilburn, and Norcross, how much would the population be then?”

Hope this helped! ~Oreo

I'm gonna assume you want us to simplify it.

v-14≤-18. Add 14 to both sides:

v ≤ -4

Answer:

v ≤ -4

Step-by-step explanation:

v - 14 ≤ -18

v -14 + 14 ≤ -18 + 14

v ≤ -4

Answer:

Exact Form:  X = 44/15

Decimal Form:  X = 2.93¯

Mixed Number Form:  X = 2 14/15

Step-by-step explanation:

Answer:

3/4w

Step-by-step explanation:

3/4 ÷w = 3/4 × 1/w = 3/4w

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

15 divided by 5 is 3. Which means that 15/5 is 3.

Answer:

1064.8 in^2

Step-by-step explanation:

12.1 x 17. 6 / 2 to find one half of a triangle will equal 106.48

there are 10 triangle therefore 106.48 x 10 = 1064.8

Answer:

532.4 in²

Step-by-step explanation:

The area (A) of the regular pentagon is calculated as

A = 0.5 × perimeter × apothem

Perimeter = 5 × 17.6 = 88 in

The apothem is the segment from the centre to the midpoint of one of the sides.

Here the apothem = 12.1 in, thus

A = 0.5 × 88 × 12.1 = 44 × 12.1 = 532.4 in²

The angle measure of m∠ACB (x°) is 39°.

Step-by-step explanation:

Let us name the joining points as ABC and ABC forms triangle with extended lines. (refer the image)

We have to find the value of m∠ACB = x°.

the given data,

m∠A=68°.

m∠B =107°.

To find m∠CAB,

Let us consider that AB is a line traversed by a line C intersecting at A. (refer diagram)

Using the theorem of corresponding angles theorem, when a line intersects another line, then the angles opposite each other is equal to each other.

m∠A=m∠CAB.

m∠CAB  =68°.

To find m∠ABC,

Let us consider AB is a line.(refer diagram)

Using the straight line proof, the total of angles in a straight line is 180°.

Thus m∠ABC+m∠B=180°.

m∠ABC+107°=180°.

m∠ABC=180°-107°.

m∠ABC=73°.

Finally we have to find the value of x° that is m∠ACB.

Using the interior angles proof,  the sum of interior angles of triangle is 180°.

⇒m∠ABC+m∠CAB+m∠ACB=180°.

73°+68°+m∠ACB=180°.

141°+m∠ACB=180°..

m∠ACB=180°-141°.

m∠ACB=39°.

Thus the angle measure of m∠ACB (x°) is 39°.

Answer:

A

Step-by-step explanation:

Answer:

Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .

Traveling west 5miles/hour can be represented as;

Traveling 45 degrees from south towards the north

The second part is on the attached file

Step-by-step explanation:

You will declare variables before you start solving the questions

Answer:

Step-by Traveling east 5miles/hour can be represented as; traveling 45 degrees from south at 5 miles per hour .

Traveling west 5miles/hour can be represented as;

Traveling 45 degrees from south towards the north

The second part is on the attached filey-step explanation:

Answer:

i think the answer is c but im not sure

Step-by-step explanation:

Answer:

The price for one hat was $5 and the price for one scarf was $4

Step-by-step explanation:

Let

x ----> the price for one scarf in dollars

y ----> the price for one hat in dollars

we know that

Dakota bought 2 scarves and 1 hat for $13

so

[tex]2x+y=13[/tex] ----> equation A

Kristina bought 1 scarf and two hats for $14

so

[tex]x+2y=14[/tex] ----> equation B

Solve the system by elimination

Multiply by -2 both sides equation B

[tex]-2(x+2y)=-2(14)[/tex]

[tex]-2x-4y=-28[/tex] ----> equation C

Adds equation A and equation C

[tex]2x+y=13\\-2x-4y=-28\\---------\\y-4y=13-28\\-3y=-15\\y=5[/tex]

Find the value of x

substitute the value of y in any equation

equation B

[tex]x+2(5)=14\\x=14-10\\x=4[/tex]

therefore

The price for one hat was $5 and the price for one scarf was $4

Answer:

Step-by-step explanation:

That would be:

24 miles       3

------------- = ------ with no units of measurement

32 miles        4

The first cylinder is larger by 6607.9 cm³.

Step-by-step explanation:

⇒ V(1) = 3.14 × 10.16² × 21.59 = 6997.9 cm³

V(2) = 390 cm³

⇒ Difference = 6997.9 - 390 = 6607.9 cm³

Answer:

37.04

Step-by-step explanation:

Answer:

D. Make triangles with the same angle measures and different side length.

Step-by-step explanation:

Since the values of the angles of the triangle are constant, varying the length of the sides would give series of triangles. Note that the length of the three sides must not be equal at any stage of the varying process.

Answer:

42

Step-by-step explanation:

42/2 = 21

42/3 = 14

Answer:

54 is what I thought of.

Answer:

A and D and E is the answer.

Step-by-step explanation:

The simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is 64 - 6√ * b - 283√ * c - 127√.

To simplify the expression 4147−−−√ a - 37√ . b - 283√ . c - 127√, we can first try to identify any common factors among the terms.

However, since each term involves a different square root, it's not possible to simplify the expression further using common factors.

To proceed, we can try to simplify each term individually. For instance, we can simplify 4147−−−√ by identifying that 4147 is a perfect square. Since 4147 = 64 * 64, we can rewrite the expression as:

4147−−−√ = √(64 * 64) = 64

Similarly, we can simplify 37√ . b by identifying that 37 is a perfect square. Since 37 = 6 * 6, we can rewrite the expression as:

37√ . b = √(6 * 6) * b = 6√ * b

Applying the same logic to the remaining terms, we get the simplified expression:

64 - 6√ * b - 283√ * c - 127√

Therefore, the simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is:

64 - 6√ * b - 283√ * c - 127√

Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Step-by-step explanation:

CALCULATIONS FOR BAKERY A

Considering the data for Bakery A

45 52 51 48 57 30 55 46

Calculating Mean for Bakery A

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 45 + 52 + 51 + 48 + 57 + 30 + 55 + 46 = 384

Number of terms = 8

As

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

[tex]Mean=\frac{302}{8}[/tex]

[tex]Mean=48[/tex]

Calculating Median for Bakery A

As the median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

As the data for Bakery A is

45 52 51 48 57 30 55 46

Ordering the data from least to greatest, we get:

30   45   46   48   51  52   55   57  

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

[tex]Median=\frac{\left(48+51\right)}{2}=\frac{99}{2}=49.5[/tex]

Getting a Plot and Leaf Plot for Bakery A

Data for Bakery A in ascending order

30   45   46   48   51  52   55   57  

STEM                    LEAF

3                               0

4                               5   6   8

5                               1    2   5   7

CALCULATIONS FOR BAKERY B

Considering the data for Bakery B

48 42 11 45 57 10 43 46

Calculating Median for Bakery B

[tex]Mean=\frac{Sum\:of\:terms}{Number\:of\:terms}[/tex]

Sum of terms = 48 + 42 + 11 + 45 + 57 + 10 + 43 + 46 = 302

Number of terms = 8

[tex]Mean=\frac{302}{8}=37.75[/tex]

Calculating Median for Bakery B

[tex]Median=\frac{\left(43+45\right)}{2}=44[/tex]

Getting a Plot and Leaf Plot for Bakery B

Data for Bakery B in ascending order

10   11   42   43   45   46   48   57  

STEM                    LEAF

1                               0   1

2                              

3                              

4                              2   3   5   6   8

5                              7

So, from the above observation, we can conclude that Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Keywords: symmetric distribution, mean, media

Learn more about symmetric distribution, mean, media from brainly.com/question/4528114

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Answer:

Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric, as can be observed from the stem and leaf frequency plot.

Answer: 0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

The imaginary number has form:

a + bi

a - real part

bi - imaginary part

i - imaginary unit (i = √-1)

We have the number 9.

9 is a real part

An imaginary part is equal 0.

Therefore the imaginary part of number 9 is 0i.

Answer:

Therefore she used (142-54)=88 pounds of type B coffee.

Step-by-step explanation:

Given, Leila's coffee shop makes a blend that is a mixture of two types of coffee.Type A coffee $4.85 per pound and type B coffee cost $5.90 per pound. She made 142 pounds of the blend for the total cost of $781.10.

The cost price of the blend per pound is = $(781.10÷142)

                                                                   =$5.5

Let , the amount type A in the blend be x

Then the amount of type B in the blend is (142-x)

The cost price of x pound of type A coffee is = $(4.85×x)  =$4.85x

The cost price of(142- x) pound of type B coffee is =$(142-x)×5.90

According to the problem,

4.85x+(142-x)×5.90 = 781.10

⇔4.85x +837.8-5.90x=781.10

⇔1.05x=56.7

⇔x=(56.7÷1.05)

⇔x=54

Therefore she used (142-54)=88 pounds of type B coffee.

Adam earned a total of £265.10 last week.

Step-by-step explanation:

Step 1; Adam earns a basic pay of £200 each week. He earns 10% of the magazine price for each sold  and 15% of the book price for each sold. Each magazine costs £8 and each book costs £15. He sells 42 magazines and 14 books.

Money earned for selling a magazine = 10% × £8 = 0.10 × £8 = £0.80,

Money earned for selling a book = 15% × £15 = 0.15 × £15 = £2.25,

Money earned for selling 42 magazines = 42 × £0.80 = £33.60,

Money earned for selling 14 books = 14 × £2.25 = £31.50,

Money earned for selling 42 magazines and 14 books = £33.60 + £31.50 =  £65.10.

Step 2; Now we have to calculate his last week's salary which is his weekly pay and his earnings from selling magazines and books. We found that he earned £31.50 from selling books and magazines. His weekly salary is £200.

Last week's salary =  £200 +  £65.10 = £265.10.

Answer: £265.10

Step-by-step explanation:

Adam gets £200 each week.

10% of 42 magazines

Magazines opcost £8

10% × £8 = 0.10 × £8 = £0.80

42 × £0.80 = £33.60

15% of 14 books

Each book cost £15

15% × £15 = 0.15 × £15 = £2.25,

14 × £2.25 = £31.50

Last Week's Salary:

£31.50 + £33.60 = £65.10

£200 +  £65.10 = £265.10 (last weeks salary)

Answer:

8xy

Step-by-step explanation:

(2x)(4y)

By expansion we have

2x x 4y

8xy

Answer:

D

Step-by-step explanation:

A.

12x – 3 – 6x = 6x – 3

12x - 3 = 12x -3

-3 = -3     infinite solution

B.

3 + 16x = 3 + 24x – 8x

3 + 16x = 3 + 16x

3 = 3     infinite solution

C.

2 + 12x - 4x = 2 + 8x

2 + 8x = 2 + 8x

2 = 2     infinite solution

D.

12x – (6x + 8) = 6x + 4

6x - 8 = 6x + 4

-8 = 4     no solution

Answer:

84 Inches

Step-by-step explanation:

so 12 inches are in 1 foot. 12 x 7+84

Answer: 84 in

Step-by-step explanation: since there are 12 inches in a foot multiple 12 by the number of feet.

{(-2, 6), (-5, -1), (3, 7), (-5, 0)}

Domain: The domain is all the x-values (-2, -5, 3, -5)

Range: The range is all the y-values (6, -1, 7, 0)

Function: It's not a function because of the x-value -5 is repeating.

Answer:

Step-by-step explanation:

domain (ur x values) = [ -5,-2,3 ]...only write repeating values once

range (ur y values) = [ -1,0,6,7]

a function will not have any repeating x values....it can have repeating y values, just not the x ones...all x's have to be different

therefore, this is not a function because u have repeating x values of -5

Answer:

Width 130 ft and

Length 320 ft

Step-by-step explanation:

We are given;

We are required  to determine the dimensions of the rectangular base;

Assuming the width of the rectangular base is x ft

Then length will be (3x - 70) ft

But;

Perimeter = 2L + 2W

Thus;

900 ft = 2(3x-70) + 2(x)

900 ft = 6x -140 +2x

1040 = 8x

 x = 130

Thus;

Width = 130 ft

Length = 3x -70 = 320 ft

Hence the dimensions of the rectangular base are width 130 ft and length 320 ft

Answer:

Step-by-step explanation: