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il63 [147K]
3 years ago
5

Write the word sentence as a equation and solve it .

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0


2.1-2p= -4.7

they said the difference of 2.1 and twice a number p. which I'm assuming letter p, but anyway. difference means subtraction and twice mean multiplication so 2p

that's why we have 2.1-2p= -4.7

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.
jarptica [38.1K]

Answer:

3 gallons

Step-by-step explanation:

Let

x ----> the amount of pure acid (100% solution) in gallons

Remember that

100\%=100/100=1

20\%=20/100=0.20

60\%=60/100=0.60

we know that

(1)(x)+(0.20)(3)=(0.60)(x+3)

solve for x

x+0.60=0.60x+1.80

x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal

therefore

3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in  order to get a 60% acid solution

7 0
3 years ago
Jennifer is picking a ball out of a box without looking. The probability of picking a green ball is 1/12.
kaheart [24]

Answer:

it's a

Step-by-step explanation:

7 0
3 years ago
Factor each polynomial. check your answer. <br> 12x^4 - 8x^3 - 4x^2
tekilochka [14]

Answer:

2x^2(3x^2-2x-1)

Step-by-step explanation:

12x^4 - 8x^3 - 4x^2

everything is a multiple of 4 so divide the whole thing by 4

12x^4 - 8x^3 - 4x^2/4= 3x^4-2x^3-1x^2

write it in disturbed form

2(3x^4-2x^3-1x^2)

now if u see we can see that the X will be same, so we also have to factor it out and 2 is the exponent that all can give

2x^2(3x^2-2x-1)

7 0
3 years ago
Read 2 more answers
Write the Rational Expression in simplest form. <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-x-6%7D%7B24-5x-x%5E2%7D" id="T
Liula [17]

Answer:

-(x+2)/(x+8)

Step-by-step explanation:

( x^2 -x-6)

------------------

24 - 5x -x^2

Factor out a minus sign from the denominator

( x^2 -x-6)

------------------

-( x^2 +5x -24)

Factor the numerators and the denominators

( x-3) (x+2)

------------------

-( x+8)(x-3)

Cancel like terms

  x+2

------------------

-(x+8)

4 0
3 years ago
PLEASE HELP<br><br> x = ___ units
Shkiper50 [21]

Answer:

x = <u>16</u> units

Step-by-step explanation:

∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.

If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.

Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.

Since side BC is part of BCD.

Side opposite of 90° [∆BCD] = BC = 32.

Since x is opposite of 30° [∆BCD].

x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.

8 0
3 years ago
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