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2 years ago

9

Jayson used 0.5 cup of kernels to make 16 cups of popcorn. How many cups of popcorn would he make if he used 0.75 cup of kernels

?
32

28

24

20

1 answer:

notka56 [123]2 years ago

8 0

Dividing both sides by 0.5

24 cups of popcorn can be made from 0.75 cups of kernels.

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If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

sertanlavr [38]

y = ( 48 *2 ) / 6

Step-by-step explanation:

If y varies directly as x they are directly proportional, which means they relate to each other in the same way....

2 : y = 6: 48

what is y if x = 2?

The value of y can be found if you write it a two fracrions

2 : y = 6 : 48

2 / y = 6 / 48

cross multiply the fractions gives

6*y = 48 *2

divide left and right of the = sign by 6 gives the answer:

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

Other method:

multiply left and right of the = sign by y

2 * y/y = y *6 / 48

6y / 48 = 2 * 1

multiply left and right of the = sign by 48

6y * 48/48 = ( 48 *2 )

6y = ( 48 *2 )

divide left and right of the = sign by 6

6/6* y = ( 48 *2 )/6

y = ( 48 *2 ) / 6

(if you solve it you get y = 12 but that was not the question).

4 0

3 years ago

In the accompanying figure, triangle ABC has coordinates A(0,3), B(7,3), C(7,7). What is the area of triangle ABC in square unit

ElenaW [278]

We know area of triangle = $\frac{1}{2} * base * height$

In triangle ABC , AB is the base and BC is the height

Now we find the distance between A and B

Distance formula is $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

A(0,3), B(7,3)

Distance AB = $\sqrt{(7-0)^2 + (3-3)^2}$

= $\sqrt{(7)^2 }$ = 7

B(7,3), C(7,7)

Distance BC = $\sqrt{(7-7)^2 + (7-3)^2}$

= $\sqrt{(4)^2 }$ = 4

area of triangle = $\frac{1}{2} * base * height$

area of triangle = $\frac{1}{2} * AB * BC$

= $\frac{1}{2} * 7 * 4$ = 14 $units ^2$

4 0

3 years ago

Donna bought 3 pairs of pants for $28.50 each. She also bought a necklace for $12.25. She received a discount of 35% off her ent

oee [108]

Answer:

<em>Donna will have to pay $67.985125 at the register, including the 7% sales tax.</em>

Step-by-step explanation:

Donna bought 3 pairs of pants for $28.50 each.

So, the cost for 3 pair of pants $=(28.50\times 3)dollars= 85.50$ dollars.

She also bought a necklace for $12.25

Thus, the cost for her entire purchase will be: $(85.50+12.25) dollars = 97.75$ dollars.

She received a discount of 35% off her entire purchase. So, the amount of discount $=(97.75\times 0.35)= 34.2125$ dollars.

Thus, the total selling price will be: $(97.75-34.2125)= 63.5375$ dollars.

Percentage of sales tax is 7%. So, the amount of sales tax $=(63.5375\times 0.07)= 4.447625$ dollars.

Thus, the total amount Donna have to pay at the register $=(63.5375+4.447625)=67.985125$ dollars.

5 0

3 years ago

MatroZZZ [7]

Answer:

a(7)=3645

Step-by-step explanation:

you have :

f(1) =a= 5

and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)

So r=3

then

a(n)=a*r^(n-1)

a(7)=5*3^(7-1)

a(7)=5*3^6=3645

<em>hope this helps</em>

<em />

7 0

2 years ago

G(x) = 4x + 3; Find g(10)

adelina 88 [10]

Answer:

43

Step-by-step explanation:

g(x)=4x+3

plug in 10

g(10)= 4(10)+3

= 40+3

= 43

8 0

3 years ago

Read 2 more answers