Choose the number sentence that illustrates the distributive property of multiplication over addition.
A. 2 × (7 + 8) = (2 + 7) × (2 + 8)
B. 2 × (7 + 8) = (2 × 7) + (2 × 8)
C. 2 × (7 + 8) = (2 × 7) + 8

Answer: 338

Step-by-step explanation: Spelled result in words is thirty-three eighths (or four and one-eighth).

Answer:

$2.29

Step-by-step explanation:

Answer:

the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis

Answer:

64, 32, and 16 are the next two terms.

Step-by-step explanation:

It's infinite I believe

Hope this helps :)

Answer:

Step-by-step explanation:

11 times 22

the area of its cross-section multiplied by the length

answer: 242cm squared

Answer: Should be 11.1 distance

Step-by-step explanation:

11+0.1 =11.1

11 tall tree .1 blow ground = 11.1 above home

Answer:

3(16x+9)/4

make sure it's a fraction

Answer:

27 11/4x

Step-by-step explanation:

First we add the similar parts of the expression.

Whole numbers

6 + 9 + 5 + 7 = 27

Then we add the fractions that dont have x.

We only add the numerators (2 and 3) and dont change the denominators (4)

2/4 + 3/4 = 5/4

Now we add the ones with x.

5/4 + 3/4x + 3/4x = 11/4x

Now we combine those parts together, making

27 11/4x

sorry if Im wrong

Answer:

Line one

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

First, let's work out how many points they have to go. 725 - 165 = 560.

If they average 70 points per game, you'll need to divide 560 by 70.

560 / 70 = 8. Therefore, the team needs to play 8 or more games to get at least 725 points.

Answer:

Answers below

Step-by-step explanation:

j: m=-4/3 b=5

k: m=2 b=-2

l: m=3 b=0

m: m=-1/3 b=-2

n: m=1/4 b=5

For J, M is equal to -4/3 and b is equal to 5

For K, M equals 2 and be equals -2

For I, M is equal to 3 and b is 0

For M, M is -1 over 3 and b = -2

Lastly for N, M = 1/4 and b is 5

Hope this helps.

Answer: distributing

2(6x + 6) is 12x + 12

16x - 8 is 8(2x - 1)

3(x - 2) is 3x - 6

3(4x + 4) is 12x + 12

2x + 6 is 2(x + 3)

4(x + 3) is 12x + 12

Step-by-step explanation:

Distribute the number in front of the parenthesis to the numbers inside the parenthesis .

for example: 3(x-2)

3 times x = 3x

3 times -2= -6

answer: 3x - 6

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

\( \frac{11}{100} \: \: or \: \: 0.11\)

Step-by-step explanation:

11%

=11/100

=0.11

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

Answer:

2^5

Step-by-step explanation:

64 = 2*16 = 2*2*8 = 2*2*2*4 = 2*2*2*2*2 = 2^5

Answer:

128

Step-by-step explanation:

2 |  64

2 |  32

2 |  16

2 |  8

2 |  4

2 | 2

2 | 1

Prime factorization = 2 x 2 x 2 x 2 x 2 x 2 x 2 =\(2^{7\\}\) =  128                  

Answer:

81

Step-by-step explanation:

Given the relationships \(a \propto y^2\) and \(b \propto \frac{1}{y}\), let's solve for the proportionality constants and then use them to find \(x\) when \(y = 4\).

From the given values:

1. When \(x = 18\) and \(y = 2\), we have \(a + b + 4 = 18\).

2. When \(x = -3\) and \(y = 1\), we have \(a + b + 4 = -3\).

We can set up two equations using the given proportionalities and the given values:

Equation 1: \(a = ky^2\)

Equation 2: \(b = \frac{c}{y}\)

Substituting these into the first given condition:

\(ky^2 + \frac{c}{y} + 4 = 18\)

Substituting these into the second given condition:

\(ky^2 + \frac{c}{y} + 4 = -3\)

Solving these two equations will allow us to find the constants \(k\) and \(c\), and then we can use them to find \(x\) when \(y = 4\).

Let's solve the equations:

From the first equation:

\(k(2^2) + \frac{c}{2} + 4 = 18\)

\(4k + \frac{c}{2} + 4 = 18\)

\(4k + \frac{c}{2} = 14\)

From the second equation:

\(k(1^2) + \frac{c}{1} + 4 = -3\)

\(k + c + 4 = -3\)

\(k + c = -7\)

Now we have a system of two equations:

1. \(4k + \frac{c}{2} = 14\)

2. \(k + c = -7\)

Solve the second equation for \(k\): \(k = -c - 7\)

Substitute this into the first equation:

\(4(-c - 7) + \frac{c}{2} = 14\)

\(-4c - 28 + \frac{c}{2} = 14\)

\(-8c - 56 + c = 28\)

\(-7c = 84\)

\(c = -12\)

Substitute \(c\) back into \(k + c = -7\):

\(k - 12 = -7\)

\(k = 5\)

Now that we have \(k\) and \(c\), we can determine the values of \(a\) and \(b\) using the given proportionalities:

\(a = 5y^2\)

\(b = \frac{-12}{y}\)

Finally, substitute these values of \(a\), \(b\), and \(y\) into the equation \(x = a + b + 4\) to find \(x\) when \(y = 4\):

\(x = 5(4^2) + \frac{-12}{4} + 4\)

\(x = 80 - 3 + 4\)

\(x = 81\)

So, when \(y = 4\), \(x\) is 81.

Answer:

64.05$

Step-by-step explanation:

Answer:

5x + 15y =20  = - 3x +25y =75

= 8 minutes

Step-by-step explanation:

5x + 15y =20    multiply all by 3 to get 15x

15x +45y=60

- 3x +25y =75 multiply all by -5 to get 15x

15x -125y = -375

rewrite ans together

15x +45y=60

15x -125y = -375

      -80y = -315

y = -315/ - 80

y = 3.9375  = y= 4 substitute to find x

5x + 15(4 )=20  

5x +60 = 20

5x=-40

x= -40/5

x=-8

15x +45(4)=60

15x +180 =60

15x =-120

x=-8

Answer:

1) True

2) False

3) False

4) True

5) True

6) 83

7) -4 or 4 (both are correct because absolute value was not specified)

8) 52

9) 16

10) 8

Answer:

(-3, 7)

Step-by-step explanation:

minus the x value by 2, minus the y value 3, rule for reflection over line y=-x is (-x, -y), so just swap the signs, and thats your answer.

Answer:

do u still need

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

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Answer:

f(x)=.625^x

Step-by-step explanation:

Step-by-step explanation:

f(x)=1/8*5^x

f(2)=1/8*5^2

f(2)=1/8*25

f(2)=25/8

Answer:

$163+x  or$163x

Step-by-step explanation:

Answer:

A = plane

B = whale

C = sunken ship

Step-by-step explanation:

The given vertical number line is modelling the positions of objects and animals in relation to sea level.

Sea level is the average height of the surface of the world's oceans, which we use as a reference point to measure the elevation and depth of land and water features on Earth.

From inspection of the given number line:

We have been told that a plane is flying at 8,500 feet above sea level. Therefore, as position A is the only position above sea level, A = plane.

We have been told that a sunken ship is resting at 3,000 feet below sea level, and that directly above the ship, a whale is swimming 1,960 feet below sea level. Therefore, the whale is above the ship. As position B is above position C, this means that B = whale and C = sunken ship.

Answer:

Step-by-step explanation:

We use a for Adult and s for Student.

Assuming this, you have to start by writing two equations from the information provided:

900 total tickets were sold    

       a+s=900                             ------(i)

they made $2,820 and  adult tickets cost $4 and kids tickets cost $2.50

      2820=4a+2.5s                    ------(ii)

lets solve for a in the first equation:

a=900-s                      

we can plug this into the second equation and solve for s

2820=4(900-s)+2.5s

2820=3600-4s+2.5s

2820=3600-1.5s

-780=-1.5s

s=520

we can plug this into the first equation and solve for a:

a+520=900

a=380

Total adult ticket sold : 380

Total student ticket sold = 520

Cost of adult tickets = 380 * 4 = $1520

Cost of student tickets = 520 * 2.5 = $1300

I hope this helps. For more you can visit :

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Answer:

The answer is yes

Step-by-step explanation:

2*2.5=5

4*2.5=10

Assign the numbers to the number line in the following order:

2.15=2.15

220%=2.2

9/4=2.25

*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:

2.15, 2.2, 2.25