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bagirrra123 [75]
3 years ago
11

Hi I need help with problems 14-16

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0
16 is $32
idk the others.... sorry.
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(9x²+24x-8)-(5x²+3x+10)
motikmotik

Answer:

4x^2 + 21x - 18

Step-by-step explanation:

(9x^2+24x-8)-(5x^2+3x+10)

9x^2+24x-8-5x^2-3x-10

9x^2 - 5x^2 = 4x^2

24x - 3x = 21x

-8 - 10 = -18

Answer: 4x^2 + 21x - 18

8 0
3 years ago
5. Priya mixes 2..5 cups of water with 1/3 cup or orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup or oran
Snowcat [4.5K]

Priya needs 13⅓ cups of orange juice

Diego 15 cups

Step-by-step explanation:

......................................................................................................................

Priya

......................................................................................................................

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

5/2 ÷⅓ = 100/x

5/2 * 3 = 100/x

15/2 = 100/x ---------------Multiply both sides by x

15/2 * x = 100/x * x

15x/2 = 100 ------------------ Multiply both sides by 2

2 * 15x/2 = 2 * 100

15x = 200 --------------- Divide both sides by 15

x = 200/15

x = 13⅓

So, 13⅓ cups of orange is needed by Priya

......................................................................................................................

Diego

......................................................................................................................

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

5/3 : ¼ = 100:x

5/3 ÷¼ = 100 ÷ x

5/3 * 4/1 = 100 ÷ x

20/3 =100/x----------------------- Multiply x to both sides

20/3 * x = 100/x * x

20x/3 = 100 ------------------------ Multiply 3 to sides by 3

3 * 20x/3 = 100 * 3

20x = 300 ------------- Divide both sides by 2

20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

6 0
3 years ago
BRAINLIST AND 30 POINTS
svetlana [45]

Answer:

1/16

Step-by-step explanation:

So if you want to divide an amount equally, you divide the numbers. In this scenario, what you would do is this:

1/2 needs to be split 8 times

(1/2)/8

If you have something like this where the numerator is a fraction, then you multiply 2x8. that gives you 16, so now you add the 1 on top and you get 1/16.

6 0
3 years ago
36. GEOMETRY Write an algebraic expression to
Stels [109]

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2}

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

\frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2}

= \frac{144 + 72}{2}

= \frac{216}{2} = 108 in^2

6 0
3 years ago
Last spring 12 birds ate 8 cups of birdseed in one month. If I am expecting 18 birds this month, how
elena55 [62]

Simplified Ratio:  <u>3 : 2</u>

Birds / Cups

6 / 4

9 / 6

12 / 8

15 / 10

18 / 12

You need 12 cups of birdseed if you're expecting 18 birds this month.

7 0
3 years ago
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