Which sentence illustrates the distributive property?

Answer:

see below

Step-by-step explanation:

She got 3 questions wrong

3*5 = 15

She missed 15 points

40-15 = 25

She got 25 points right

25/40 =.625 =62.5%

If she got x questions wrong

5x is the points missed

40 -5x is the points correct

(40-5x)/40 = score  

Answer:

25pts

Step-by-step explanation:

Answer:

C: 75%

D. 0.75

Step-by-step explanation:

Both numbers are the same and they both are equivalent to 3/4.

Answer: (-28,-4)  

Step-by-step explanation:

Multiply the x and y coordinate values by the scale factor to find the image.

-7 * 4 = -28  

-1 * 4 = -4

(-28,-4)

Answer:

The car is travelling faster.

Step-by-step explanation:

Given that,

Distance between two cities = 243 miles

Time of train = 4 hours

Speed of car = 65 miles/hours

We need to calculate the speed of train

Using formula of speed

[tex]v=\dfrac{d}{t}[/tex]

Where, d = distance

t = time

Put the value into the formula

[tex]v=\dfrac{243}{4}[/tex]

[tex]v=60.75\ miles/ hours[/tex]

Hence, The car is travelling faster.

Answer:

$280

Step-by-step explanation:

175 x 48 = 8400

8400 / 30 = 280

the reciprocal will be negative

Answer:

The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.

The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. ... Notice that when you multiply negative fractions with their reciprocals, the product is always 1 (NOT -1).

If you divide the price by the number of ounces, you will get how much you are paying for a single ounce.

[tex]\frac{3.79}{36}[/tex] ≈ 0.11 dollars per ounce

[tex]\frac{2.89}{24}[/tex] ≈ 0.12 dollars per ounce

As you can see, you are paying about 0.01 dollars more for every ounce of bubble bath in the second option. So you are better off buying 36 ounces for 3.79 dollars.

You can also do this buy dividing ounces by dollars.

[tex]\frac{36}{3.79}[/tex] ≈ 9.5 ounces per dollar

[tex]\frac{24}{2.89}[/tex] ≈ 8.3 ounces per dollar

Again, you can see that you get about 1 more ounce for every dollar you pay in the first option. So 36 ounces for 3.79 dollars is the way to go.

Answer:

c

Step-by-step explanation:

tHE ANSWER IS C

Answer:

Step-by-step explanation:

[tex]2(5x-2) = 6\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(5x-2\right)}{2}=\frac{6}{2}\\\\Simplify\\5x-2=3\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\5x-2+2=3+2\\\\Simplify\\5x=5\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}=\frac{5}{5}\\\\Simplify\\x =1[/tex]

Answer:

  1.6 cups

Step-by-step explanation:

2 servings is 1/5 of 10 servings, so the amount of water needed is 1/5 of 8 cups.

  (1/5)(8 cups) = 8/5 cups = 1.6 cups

1.6 cups of water are needed for 2 servings.

Answer:

Step-by-step explanation:

First you have to split the shape into 2. I split the box so that the little one's length is Z and width is x. Find the area of both boxes:

Box 1:

Z x X = ZX

Box 2:

Y x (Z + X) = Y(Z + X)  

So the overall area of the box is:

ZX + Y(Z + X)

I'm not quite sure how to explain this without pictures to show you but i hope this helps. Let me know if you have any questions

5430. Since 2 is smaller than 5, we will not round 32 to 40.

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x-8[/tex]

And we want to solve for x if f(x) is -14.

So, substitute -14 for f(x):

[tex]-14=3x-8[/tex]

Add 8 to both sides:

[tex]-6=3x[/tex]

Divide both sides by 3:

[tex]x=-2[/tex]

And we're done!

Answer:

The value of x is -2 .

Step-by-step explanation:

You have to solve it by doing comparison :

[tex]f(x) = 3x - 8[/tex]

[tex]f(x) = - 14[/tex]

[tex]3x - 8 = - 14[/tex]

[tex]3x = - 14 + 8[/tex]

[tex]3x = - 6[/tex]

[tex]x = - 6 \div 3[/tex]

[tex]x = - 2[/tex]

Answer:

D. z = 2

Step-by-step explanation:

4z - 4.4 = 3.6  also means 4z = 3.6 + 4.4  which is 4z = 8

4 times 2 = 8

For proof do 4 times 2 minus 4.4 = 3.6

Answer:

65

Step-by-step explanation:

40 + 75 = 115

180 - 115 = 65

Answer:

x=65

Explaination

x+75+40=180

or,x+ 115=180

or, x=180-115

or x= 65

Answer:

[tex]y=\frac{3}{8}x+11[/tex]

Step-by-step explanation:

To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.

We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.

We can find the slope of that line by putting it in slope-intercept form:

8x + 3y = -6

Subtract 8x from both sides.

3y = -6 - 8x

Divide both sides by 3.

[tex]y=-\frac{6}{3}-\frac{8}{3}x[/tex]

[tex]y=-\frac{8}{3}x-2[/tex]

So the slope of that line would be -8/3.

The negative reciprocal of -8/3 would be 3/8.

Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:

[tex]y-2=\frac{3}{8}(x+24)[/tex]

Now lets change this into slope-intercept form. Add 2 to both sides.

[tex]y=\frac{3}{8}(x+24) +2[/tex]

Distribute the 3/8.

[tex]y=\frac{3}{8}x+9+2[/tex]

Simplify.

[tex]y=\frac{3}{8}x+11[/tex]

And now we have our equation in slope-intercept form.

I hope you find this helpful.

Answer:

The answer would be b. 7 cups of flour.

Step-by-step explanation:

I took the test.

Answer:

6.5 inches

Step-by-step explanation:

Suppose we get 24 inches of snow tomorrow

The next day becomes warm.

The weather remains warm for the next several days.

The snow melts at 2.5 inches a day

Therefore the amount of snow that will be left after 7 days can be calculated as follows

= 2.5 ×7

= 17.5

Since the initial amount of snow was 24 inches then,

24 -17.5

= 6.5

Hence the amount of snow that will be left on the ground after 7 days is 6.5 inches

Answer:

Mylar Ballons: 11

Latex Balloons: 7

Step-by-step explanation:

1.25 times 11 equals 13.75

.75 times 7 equals 5.25

5.25+ 13.75 equals 19

11 + 7 equals 18.

Hope this helps you :)

Answer:

$89.75

Step-by-step explanation:

p = original price of headphones

$71.80 = p - $17.95           Add $17.95 to both sides

$89.75 = p

Original price is $89.75

Answer: S > =85000

Reason: its says "atleast"

-3+-7....The answer is minus 10

Answer:x = 7.667

Step-by-step explanation:

3x - 8 = 15

     + 8 = 23

3x = 23

divide 3 by 3 and 23 so you get x by itself

answer = 7.667

Answer:

x = 7.667

Step-by-step explanation:

3x - 8 = 15 (Rearrange expression)

-8 - 15 = -3x (Combine like terms)

-23 = -3x (Divide)

x = 7.667

Answer:

Right now its a parallelogram

Step-by-step explanation:

If you want to make it a square then just move the dots

im pretty sure thats right, if not sorry

Answer:

Hey there!

The domain, or possible x values are (-4, -1, 2, 9).

The range, or possible y values are (-3,  0, 6)

Let me know if this helps :)

Answer:

Domain: { -4, -1, 2,9}

Range: {-3, 0, 6}

Step-by-step explanation:

Domain is the x-values and range are the y-values. You can write it out in an x, y table to be able to see it better. Like shown below,

x         y

-1        6

2         0

9         -3

-4         6

If you need further explanation let me know, but I hope this helps!

Have a great day!

Answer:

(–2.2, –1.2)

Step-by-step explanation:

o divide the segment into a 3:2 ratio, we need to divide the segment into five identical parts, and find the point that divides the segment into 3/5 and 2/5. To do this we have to calculate the distance between the two points of the segment, in x and y, we can do this by just subtracting the two "y" coordinates and the two "x" coordinates:

Δy=║-4-3║=7

Δx=║-1-(-4)║=3

Then we divide those differences by 5.

7/5=1.4

3/5=0.6

and now, we multiply those results by 3 and subtract them or add them from the coordinates of the point G (subtract them from the coordinate y and add it to the coordinate x, because we are moving down and right).

Px=-4+3*0.6=-2.2

Py=3-3*1.4=-1.2

so the coordinates of the point we are looking for (which I called "P") are:

P(-2.2, -1.2).

Answer:

adult tickets 15

child tickets  12

Step-by-step explanation:

2x + 2y = 54   L1

3x + 5y = 105  L2

3L1 - 2L2

6x + 6y = 162

-6x - 10y = -210

-4y = -48

y = -48/-4

y = 12

2x + 2y = 54

2x +2(12) = 54

2x + 24 = 54

2x = 54 - 24

2x = 30

x = 15