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Zepler [3.9K]
3 years ago
9

4.2(5.1x+6.8) Simplify the expression

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0

Answer:

21.42x+28.56

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x  to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

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Mel and Nancy both worked hard over the summer. Together they earned a total of $525. Mel earned $75 more than Nancy.
Tomtit [17]

Answer:

M- 300

N- 225

Step-by-step explanation:

525 - 75 = 450

450/2= 225

225 + 75 = 300

7 0
3 years ago
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How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 40% antifreeze
nexus9112 [7]

Let the necessary amount of water be x.  Then (1.00)(1 gallon antifreeze) = 0.40(x+1 gallon), or 1 = .40x + .40.  Combining like terms:  0.60 = 0.40x.

Then x = 0.60 / 0.40 = 1.5.

Adding 1.5 gallons of water to that 1 gallon of pure antifreeze results in 2.5 gallons of 40% antifreeze.

6 0
3 years ago
If the circumference of a circle is 13 pi, what is the radius of the circle?
gavmur [86]

Answer:

r ≈ 2.07

Step-by-step explanation:

Using the formula

C=2πr

Solving for r

r= C/2π = 13/2π ≈ 2.06901

7 0
3 years ago
Could i get help? it would be great!
alexira [117]

Answer:

B. supplementary angles

Step-by-step explanation:

8 0
2 years ago
Rewrite the function by completing the square r^2+18x+80=0
andrey2020 [161]

Answer:

x = -10, -8

Step-by-step explanation:

x^2+18x+80=0

Subtract 80 from each side

x^2+18x=-80

Take the coefficient of x

18

Divide by 2

18/2 = 9

Square it

9^2 =81

Add 81 to each side

x^2+18x +81=-80+81

(x+ 9) ^2 = 1

Take the square root of each side

sqrt((x+ 9) ^2 )=±sqrt( 1)

x+9 = ±1

Subtract 9 from each side

x+9-9= -9 ±1

x = -9+1      x = -9-1

x = -8           x = -10

5 0
4 years ago
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