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3 years ago

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There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third-graders than fourth-graders

, how many third-graders are there in the school? work has to be shown

1 answer:

Marianna [84]3 years ago

8 0

Answer:

There are 200 4th grades and 360 third graders

Step-by-step explanation:

560/2=280-80=200 280+80=360

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Mai bought gas for her car. Gas cost $2.95 per gallon Mai bought 8.2 gallons What was the total cost for Mai's gas?

yulyashka [42]

Answer: $24.19

Step-by-step explanation:

From the question, we are informed that Mai bought gas for her car which cost $2.95 per gallon and that she bought 8.2 gallons.

The total cost for Mai's gas will be:

= $2.95 × 8.2

= $24.19

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3 years ago

If f(x) = 7x+6 and g(x)=8x-4 find f(g(-2))

sp2606 [1]

Answer:

$f(g(-2))=-134$

Step-by-step explanation:

So we have the two functions:

$f(x)=7x+6\text{ and } g(x)=8x-4$

And we want to find f(g(-2)).

First, let's find g(-2):

$g(-2)=8(-2)-4$

Multiply:

$g(-2)=-16-4$

Subtract:

$g(-2)=-20$

Now, substitute:

$f(g(-2))=f(-20)$

Now, find the value of f(-20):

$f(-20)=7(-20)+6$

Multiply:

$f(-20)=-140+6$

Add:

$f(-20)=-134$

So:

$f(g(-2))=-134$

And we're done!

5 0

3 years ago

3, 12, 48, 192, 768, . . .

Sav [38]

The answer would be the sequence has a common ratio of 4.
The explanation for this would be:
To get the common ratio for get the simplest form of the two numbers, so 12/3 = 4 and 48/12 = 4So we know that their common ratio is 4.
To check:
3 x 4 = 12
12 x 4 = 48
48 x 4 = 192
192 x 4 = 768

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3 years ago

A single card is drawn from a standard 52 card deck.

Alecsey [184]

Answer:

43

Step-by-step explanation:

3 0

3 years ago

Solve the equation by completing the square and then solving for x. 1. x^2-6x=12<br>2. 2x^2-24x=-20

Paraphin [41]

Answer: (x - 3)² = 21

<u>Step-by-step explanation:</u>

x² - 6x + ____ = 12 + ____

↓ ↑ ↑

$\frac{-6}{2} = (-3)^{2}$

x² - 6x + <u> 9 </u> = 12 + <u> 9 </u>

(x - 3)² = 21

*******************************************************

Answer: (x - 6)² = 26

<u>Step-by-step explanation:</u>

2x² - 24x = -20

<u>÷2 </u> <u> ÷2 </u> <u> ÷2 </u>

x² - 12x = -10

x² - 12x + ____ = -10 + ____

↓ ↑ ↑

$\frac{-12}{2} = (-6)^{2}$

x² - 12x + <u> 36 </u> = -10 + <u> 36 </u>

(x - 6)² = 26

8 0

3 years ago