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3 years ago

Which expression is equivalent to the given expression?

Mathematics

2 answers:

kupik [55]3 years ago

7 0

The answer is 4a - 12 so b.

mina [271]3 years ago

6 0

Multiply 4 and a and then multiply 4 and -3 so 4a-12 answer is a bQQ✌

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Kennedy and Olivia go to the movie theater and purchase refreshments for their friends.

Anvisha [2.4K]

Answer:

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

Step-by-step explanation:

Let the price of popcorn be x

Let the price of drink be y.

price of 12 bags of popcorn will be 12x

price of 2 drinks will be 2y

it is given that "Kennedy spends a total of $77.50 on 12 bags of popcorn and 2 drinks."

thus

12x + 2y = 77.50

dividing LHS and RHS by 2 we have

12x/2 + 2y/2 = 77.50/2

=> 6x + y = 38.75 _________(1)

__________________________________________________

price of 3 bags of popcorn will be 3x

price of 6 drinks will be 6y

it is given that "Olivia spends a total of $51.00 on 3 bags of popcorn and 6 drinks."

thus

3x + 6y = 51.00

dividing LHS and RHS by 3 we have

3x/3 + 6y/3 = 51/3

=> x + 2y = 17 _____________(2)

__________________________________________________

Thus we have two equation

6x + y = 38.75 _________(1)

x + 2y = 17

=> x = 17 - 2y

putting this value of x in equation 1 we have

6( 17 - 2y) + y = 38.75

=> 102 - 12y + y = 38.75

=> 102 - 11y = 38.75

=> -11y = 38.75 -102

=> -11y = -63.25

=> y = -63.25/-11 = 5.75

as we have x = 17 - 2y

using 5.75 in place of y

x = 17 - 2(5.75 )

=> x = 17 - 11.5

=> x = 5.5

Thus, system of equations are

6x + y = 38.75

x + 2y = 17

price of drink is $5.75

3 0

3 years ago

I need help I dont really get fractions lol. I will mark brainliest!

nevsk [136]

ANSWER:
7/8 and 6/8

7/8 remains the same

3/4 multiply the top and bottom by 2 so
3*2=6
4*2=8
so its so 6/8

8 0

2 years ago

Read 2 more answers

Lori has 12 1/2 pounds of flour. She needs 1 3/4

12345 [234]

She can make 7 1/7 batches of cookies :)

4 0

2 years ago

Write the equation in slope intercept form. what is the slope and y intercept. -9x+10y=-9

Svet_ta [14]

Slope-Intercept Form: y = mx + b, with m = slope and (0,b) as the y-intercept.

So firstly, add both sides by 9x: $10y=9x-9$

Next, divide both sides by 10 and <u>your slope-intercept form is $y=\frac{9}{10}x-\frac{9}{10}$ </u>

Now looking at our slope-intercept form equation, <u>the slope is 9/10 and the y-intercept is (0, -9/10).</u>

5 0

2 years ago

Find the total surface area of the following cone. Leave your answer in terms of pi.

kramer

Answer:

90π cm²

Step-by-step explanation:

Given: Radius of circular base= 5 cm

height= 12 cm

Now finding the surface of cone.

Formula; Surface area of cone= $\pi rl+ B$

Where; r= radius

l= slant height

B is the area of base, which is circle.

Area of circle (B)= πr²

Area of circle (B)= $\pi \times 5^{2} = 25\pi$

∴ Area of circle (B)= $25\pi$

Finding slant height (l)

Formula; $l= \sqrt{r^{2}+h^{2} }$

⇒l = $\sqrt{5^{2}+12^{2} } = \sqrt{25+144 }$

∴ l= $\sqrt{169} = 13\ cm$

Next, using the formula for finding surface area of cone.

Surface area of cone= $5\times 13\times \pi + 25\pi$

⇒ Surface area of cone= $65\pi +25\pi = 90\pi$

∴ Surface area of cone= 90π cm²

6 0

3 years ago