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Vlad [161]
2 years ago
12

Susan says that a solution to the equation x + 5 = 15 must also be a solution to the equation 2(x+1) = 22 write an explanation w

hy this is true
Mathematics
1 answer:
blagie [28]2 years ago
3 0

9514 1404 393

Answer:

  each equation can be transformed to the other

Step-by-step explanation:

Starting with the given equation, we can subtract 4, then multiply by 2:

  x + 5 = 15

  x + 5 - 4 = 15 - 4

  x + 1 = 11

  2(x + 1) = 2(11)

  2(x +1) = 22 . . . an equivalent equation

The properties of equality allow one equation to be transformed into the other.

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A pre-school has 12 four-year old children and 11 three-year old children. What is the ratio of four-year old
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12:11

Step-by-step explanation

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that not 20 point that 10

Step-by-step explanation:

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A company is constructing an​ open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
yawa3891 [41]

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

b^2*h=49

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft

The value of h is then:

h=\frac{49}{4.61^2}\\h=2.31\ ft

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

7 0
3 years ago
Complete the table. ​
irinina [24]

Step-by-step explanation:

1.20%,0.2

2.0.25

3.50%,0.5

4.2/3

g mail-shazanuljafar g mail . com

5 0
2 years ago
What is x and what's m<M?
sweet [91]

Use the property that angles sum up to 360 degrees.

Also use property that <M = <R and <A = <P.

That gives the following equation:

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6x+5 + 9x+25 + 6x+5 + 9x+25 = 360

30x + 60 = 360

x = 10

Answer:

x = 10

m<M = 6x+5 = 65 degrees

5 0
3 years ago
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