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alex41 [277]
2 years ago
10

How many gallons of a 3% salt solution must be mixed with a 7% salt solution to obtain 100 gallons of a 5% salt solution.

Mathematics
1 answer:
MrRissso [65]2 years ago
6 0

Answer:

50 gallons of each.

Step-by-step explanation:

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Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
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Use the X method to find the solutions of<br><br> 6x2 + 2x – 20 = 0.
Keith_Richards [23]

Answer:Hopes this helps!

6x²+2x-20=0

==>6x²+12x-10x-20=0

==>6x(x+2)-10(x+2)=0

==>(x+2)(6x-10)=0

==>x=-2 or x=5/3

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3 years ago
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Can y’all help me on question 19?!
m_a_m_a [10]

Answer: 178.31

Step-by-step explanation: subtract 574.54 by 396.23

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3 years ago
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A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29
Alchen [17]

Answer    

Find out the  what is the surface area of the pyramid .

To proof

Formula

Surface area of a square pyramid

= a^{2} + 2a \sqrt{\frac{a^{2}}{4} +h^{2}

Where a is the base edge and h be the height .

As given

A square pyramid has a base with side lengths each measuring 40 inches. The pyramid is 21 inches tall, with a slant height of 29 inches.

i.e Base edge = 40 inches

Height =  21 inches    

Put values in the above formula

= 40^{2} + 2\times40\times\sqrt{\frac{40^{2}}{4} +21^{2}

solving

= 1600 + 80 \sqrt{\frac{1600}{4} + 441

= 1600 + 80\times\sqrt{841}

\sqrt{841} = 29

= 1600 + 80 × 29

= 3920 inches²

Therefore the surface area of the pyramid is 3,920 inches²

Hence proved

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2 years ago
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What is the solution set for this inequality?<br> -8x + 40&gt;-16
Lisa [10]

Answer:

Step-by-step explanation:

-8×+40>-16

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