Choose the graph that best represents the solution to the system of equations.
y=-x
y=x-1

Surface area: 2 × w × l + 2 × l × h + 2 × h × w

Answer:

156 in. squared

Step-by-step explanation:

The area of a trapezoid is [tex]\frac{a+b}{2} h[/tex] so substitute the values.

[tex]\frac{14 + 28}{2} 10[/tex] → [tex]\frac{42}{2} 10[/tex] → 21 * 10 → 210mm²

Hope this helps!!

The area of the following trapezoid is 210mm².

The area of a trapezoid can be calculated if the length of its parallel sides and the perpendicular distance (height) between them is given. The formula for the area of a trapezoid is expressed as,

Area = {(a + b) × h} / 2

Where a and b are the parallel sides and h is the height in the figure below.

In the given question we have, a = 14 mm , b = 28 mm and h = 10 mm.

So, by using the formula for finding the area of a trapezoid,

Area = {(14 + 28) × 10} / 2

        = {42 × 10 } / 2

        = 420 / 2

        = 210

The unit of the area is mm².

Therefore, the area of the following trapezoid is 210 mm².

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Answer:there is not answer we need more info

Step-by-step explanation:

Answer:

s     a

6    3

22  1

30  0

Step-by-step explanation:

Download song .50

Download album = 4

Let s = number of songs

a = number of albums

She can spend 15 dollars

.5s +4a =15

If she downloads 6 songs, let s=6

.5(6) +4a = 15

3+4a = 15

Subtract 3 from each side

3-3+4a = 15-3

4a = 12

Divide by 4

4a/4 =12/4

a=3

She can buy 3 albums

If she downloads 1 album, let a=1

.5(s) +4(1) = 15

.5s +4=15

Subtract 4 from each side

.5s +4-4=15-4

.5s = 11

Divide by .5

.5s/.5 = 11/.5

s = 22

She can download 22 songs

If she downloads 30 songs, let s=30

.5(30) +4a = 15

15+4a= 15

Subtract 15 from each side

15-15 +4a = 15-15

4a=0

a=0

Answer:

(1,1)

Step-by-step explanation:

3x + 2y = 5

4x − 9y = −5

Multiply the first equation by 4 and the second equation by -3 so we can eliminate x

4(3x + 2y) = 5 *4

Distribute

12x +8y = 20

-3(4x − 9y) = −5*-3

-12x +27y = 15

Add the two new equations together

12x +8y = 20

-12x +27y = 15

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

35y = 35

Divide by 35

35y/35 = 35/35

y=1

Now we can find x

3x+2y =5

3x+2(1) =5

3x +2 =5

Subtract 2 from each side

3x+2-2=5-2

3x=3

Divide by 3

3x/3 = 3/3

x=1

(1,1)

Answer:

36

Step-by-step explanation:

This figure is a trapeoid.

Turning the figure sideways,

A = 1/2 (b1+b2) *h  where b1 and b2 are the top and bottom and h is the height

b1 and b2 are the  top and bottom so b1 =6 and b2=12  and h is the height so h = 4

A = 1/2 (6+12)*4

A = 1/2 (18)*4

   = 9*4

   = 36 in^2

The area of the irregular figure is 36 sq. in.

Given is an irregular figure with dimensions 6 in, 4 in and 12 in, we need to find the area of the irregular figure,

To find the area of the given figure, we will break the figure into two regular figures,

a) Triangle [base = 4 in and height = 12-6 = 6 in]

b) Parallelogram [base = 4 in and height = 6 in]

Area of a triangle = 1/2 × base × height

Area of a parallelogram = base × height

Therefore,

Area of the irregular figure = [1/2 × 4 × 12] + 4 × 6

= 24 + 12

= 36

Hence the area of the given figure is 36 in².

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Answer:

A and D

Step-by-step explanation:

Since a (1/3) is less than 1, it is vertically compressed. The -7 is outside of the parenthesis so it is shifting down.

Answer:

options A and D are the correct options.

Step-by-step explanation:

The parent exponential function is f(x) = 2ˣ

Now this function undergoes two transformations to form g(x) = [tex]\frac{1}{3}(2^{x})-7[/tex]

When parent function f(x) = 2ˣ  is multiplied by [tex]\frac{1}{3}[/tex], this means f(x) has been compressed vertically because [tex]\frac{1}{3}[/tex] < 1.

Now we subtract 7 from the new function [tex]\frac{1}{3}[/tex] [tex](2^{x})[/tex], that means we are shifting this function 7 units downwards on y-axis.

Therefore, options A and D are the correct options.

Answer:

Its a 25% chance you choose the correct answer

Also 1/4 odds

1/4 (or 25%)

There are four possible outcomes, so the denominator of the fraction is 4.

There is only one correct answer, so the numerator of the fraction is 1.

This means the probability is 1/4, or 25%.

Answer:

The answer is 48    NOT   12

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

By using theorem of intersecting secant and tangent at a point outside a circle.

PB × PA = (PQ)²

Since, PB = 2 units

PA = (PB + AB)

     = (2 + 6)

     = 8 units

PQ = x units

Therefore, by substituting these values,

2 × 8 = x²

[tex]x^{2} = 16[/tex]

Therefore, Option (2) will be the correct option.

Answer:

1.625

Step-by-step explanation:

Answer:

The value of a4 is 6

Step-by-step explanation:

* Lets revise the rule of the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric series:

- a1 = a  ,  a2 = ar  ,  a3  = ar2  ,  a4 = ar3  ,  a5 = ar4

- an = ar^n-1, where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position

  of the number in the series

* Now lets solve the problem

- The rule of the series is  2/9 (3)^n - 1

∴ a = 2/9 and r = 3

- To find a4 put n = 4

∴ a4 = 2/9 (3)^(4 - 1) = 2/9 (3)³ = 2/9 (27) = 6

∴ The series is 2/9 , 2/3 , 2 , 6 , ........

* The value of a4 is 6

Answer:

r

Step-by-step explanation:

Answer:

[tex]7.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$9,000\\ r=0.06\\n=12\\ A=\$14,000[/tex]  

substitute in the formula above  

[tex]14,000=9,000(1+\frac{0.06}{12})^{12t}[/tex]  

[tex](14/9)=(1.005)^{12t}[/tex]  

Apply log both sides

[tex]log(14/9)=(12t)log(1.005)[/tex]  

[tex]t=log(14/9)/[(12)log(1.005)][/tex]  

[tex]t=7.4\ years[/tex]  

Answer:

240

Step-by-step explanation:

V=width height  length  = 10 · 3 · 8 = 240

Hope this helped, have a wonderful day man!

The answer is 240cm^3

Answer:

6x^2 - 23x + 20

Step-by-step explanation:

Next time, please share all of the possible answer choices.

Here, A = (3x - 4)(2x - 5) = 6x^2 - 15x - 8x + 20, or

6x^2 - 23x + 20

Answer:

1863254

Step-by-step explanation:

Answer:

balls

joe

mama

Step-by-step explanation:

Answer:

108 inches

Step-by-step explanation:

one yard = 36 inches

multiply 36 by 3

Answer:1 yd= 3 ft

12 inches= 1 ft

Set up a proportion:

1/3=3/x

1×3=3, so 3×3= 9 ft in 3 yds.

9/3=x/12

9×12= 108

9 ft and 108 inches

Answer:

28

Step-by-step explanation:

19+9=28 and 28-9=19

Hope This Helps!    Have A Nice Day!!

28 I think not positive

Answer:

perimeter = 10x + 2

area = 6x^2 + 2x

perimeter = 52

area = 160

Step-by-step explanation:

perimeter = 2 * length + 2 * width

perimeter = 2(3x + 1) + 2(2x)

perimeter = 6x + 2 + 4x

perimeter = 10x + 2

area = length * width

area = (3x + 1)(2x)

area = (2x)(3x + 1)

area = 6x^2 + 2x

For x = 5:

perimeter = 10x + 2 = 10(5) + 2 = 50 + 2 = 52

area = 6x^2 + 2x = 6(5^2) + 2(5) = 6(25) + 10 = 150 + 10 = 160

2 > -3     (2 is greater than -3, this is true)

-7 < -5    (-7 is less than -5, this is true because -7 is more negative than -5)

-9 < 1       (-9 is less than 1, this is true)

0 < -4      (0 is less than -4, this is false because 0 is greater than -4)

Among the comparisons given, "0 < -4" is incorrect.

The student is asking which comparison is not correct. After evaluating each comparison, it becomes clear that 0 < -4 is not correct because 0 is not less than -4; in fact, 0 is greater. Other comparisons such as 2 > -3, -7 < -5, and -9 < 1 are all correct, as in each case, the number on the left side of the inequality is indeed larger (or smaller, for negative numbers) than the number on the right side as the symbol indicates.

To understand why 0 < -4 is incorrect, consider the number line where any number to the right is greater than the number to the left. Zero (0) lies to the right of any negative number, including -4, which means it is greater, not less.

The answer is (3,6) x=3 y=6

Answer:

x = 3 / y = 6

Step-by-step explanation:

5x - 2y = 3

-5x + 4y = 9

-----------------   (combine the equations)

2y = 12

isolate the variable

y = 6

next, use one of the original equations and substitute in for y to solve for x

5x - 2(6) = 3

multiply

5x - 12 = 3

isolate the variable

5x = 15

divide each side by 5

x = 3

Answer:

[tex]\frac{1}{10000}[/tex]

Step-by-step explanation:

In probability, "AND" means Multiplication

"OR" means addition

There are 100 numbers from 1 to 100. Probability of picking 49 is 1/100 (since we want 1 specific number form 100 numbers).

Question is asking Probability that Phillip selects 49 AND ALSO Shelly select 49. since there is "AND", we just multiply both the probabilities of Phillip and Shelly.

[tex]\frac{1}{100}*\frac{1}{100}=\frac{1}{10000}[/tex]

Answer:

The two regular cans of soup has a greater volume than the family size can of soup

Step-by-step explanation:

step 1

Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm

The volume is equal to

[tex]V=2[\pi r^{2} h][/tex]

we have

[tex]r=8/2=4\ cm[/tex] ----> the radius is half the diameter

[tex]h=10\ cm[/tex]

substitute

[tex]V=2[\pi (4)^{2} (10)][/tex]

[tex]V=320\pi\ cm^{3}[/tex]

step 2

Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=10/2=5\ cm[/tex] ----> the radius is half the diameter

[tex]h=12\ cm[/tex]

substitute

[tex]V=\pi (5)^{2} (12)[/tex]

[tex]V=300\pi\ cm^{3}[/tex]

therefore

Compare the volumes

[tex]320\pi\ cm^{3} > 300\pi\ cm^{3}[/tex]

The two regular cans of soup has a greater volume than the family size can of soup

Answer:

The probability your mean age will be at least 28 is 83%

Step-by-step explanation:

Let X denote the ages of all new employees hired during the last 10 years , then X is normally distributed with;

a mean of 31

a standard deviation of 10.

The sample size obtained is 10 employees. This implies that the sampling distribution of the sample mean will be normal with;

a mean of 31

a standard deviation of [tex]\sqrt{10}[/tex]

The sample mean is a statistic and thus has its own distribution. Its mean is equal to the population mean, 31 and its standard deviation is equal to [tex]\frac{sigma}{\sqrt{n} }[/tex]

where sigma is the population standard deviation, 10 and n the sample size which in this case is 10. [tex]\frac{10}{\sqrt{10} }=\sqrt{10}[/tex]

We are required to find the probability that this sample mean age will be at least 28;

P(sample mean ≥ 28)

Since we know the distribution of the sample mean we simply standardize it to obtain the z-score associated with it;

P(sample mean ≥ 28)

= [tex]P(Z\geq \frac{28-31}{\sqrt{10} } )=P(Z\geq -0.9487)[/tex]

=0.8286

As a percentage this is equivalent to, 83%

No. Because she only asked the people who was walking to school

answer: 2/6 +2/6= 4/6 and 4/6 reduced down is 2/3 :)

The two fractions with a sum of 2/3 but with neither denominator equal to 3 is,  2/6 +2/6= 4/6 and 4/6 reduced down is 2/3.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

2/3

= 4/6

=2/6 +2/6

Hence, The two fractions with a sum of 2/3 but with neither denominator equal to 3 is,  2/6 +2/6= 4/6 and 4/6 reduced down is 2/3.

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Answer:

A. 2,484

Step-by-step explanation:

27×30 2/3× 9= 7,452

7,452÷3= 2,484

Volume of rectangular pyramid is 2,484.27 cm³

Length of pyramid = 27 cm

Width of pyramid = [tex]30\frac{2}{3}[/tex] cm = 30.67 cm

Height of pyramid = 9 cm

Volume of rectangular pyramid = [(l)(w)(h)] / 3

Volume of rectangular pyramid = [(27)(30.67)(9)] / 3

Volume of rectangular pyramid = [7,452.81] / 3

Volume of rectangular pyramid = 2,484.27 cm³

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Answer:

42

Step-by-step explanation:

Answer:

42 people chose Turkey

Step-by-step explanation:

Create a proportion:

22/28 = 33/x

Cross multiply:

28(33)/22 = x

42= x

I think it would be 50%

Answer:

The 3rd problem on mondays answer is 2:1

The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.

The 5th problem on monday is 41

The 6th problem on monday is 13,12,11

Can't read the whole problem for the 7th question on monday

the 8th problem on monday is 55 and 8/15

That is the answers for monday hope this helps

Step-by-step explanation:

Answer:

6,3 hope I helped. :) :)

The coordinates of the midpoint of the line segment that has endpoints (2,3) and (10,3) are (6,3).

Suppose we've two endpoints of a line segment as A(p,q), and B(m,n), then let the midpoint be M(x,y) on that line segment. Then, its coordinates are x =(p+m)/2 and y = (q+n)/2.

Given the endpoints of the line segment are A(-3,4) and B(-6,-1), then the coordinates of the midpoint will be,

x = (2+10)/2 = 12/2 = 6

y = (3+3)/2 = 6/2 = 3

Hence, the coordinates of the midpoint of the line segment that has endpoints (2,3) and (10,3) are (6,3).

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