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3 years ago

Show me and example of a multi step equation and solve.

1 answer:

6 0

problemSolve 6x + 5 = 10 + 5x. Check your solution. This equation has x terms on both the left and the right. To solve an equation like this, you must first get the variables on the same side of the equal sign. You can subtract 5x on each side of the equal sign, which gives a new equation: x + 5 = 10. This is now a one-step equation! Subtract 5 from both sides.Check Check your solution by substituting 5 for x in the original equation. This is a true statement, so the solution is correct.Answerx = 5

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Helpppppp pleaseeeee

Kaylis [27]

Answer:

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Step-by-step explanation:

x = larger acute angle

y = smaller acute angle

Recall:

A right angle measures 90°

Sum of angles in a triangle = 180°

y = 1/4x

Hence :

90 + x + y = 180

x + y = 180 - 90

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Put y = 1/4x in (1)

x + 1/4x = 90

1.25x = 90

x = 90 / 1.25

x = 72

x + y = 90

72 + y = 90

y = 90 - 72

y = 18

4 0

2 years ago

Suppose that administrators of a large school district wish to estimate the proportion of children in the district enrolling in

11Alexandr11 [23.1K]

Answer:

95% z-confidence interval for the proportion of all children enrolled in kindergarten who attended preschool is between a lower limit of 0.528 and an upper limit of 0.772.

Step-by-step explanation:

Confidence interval = p + or - zsqrt[p(1-p) ÷ n]

p is sample proportion = 39/60 = 0.65

n is the number of children sampled = 60

Confidence level (C) = 95% = 0.95

Significance level = 1 - C = 1 - 0.95 = 0.05

Divide significance level by 2 to obtain critical value (z)

0.05/2 = 0.025 = 2.5%

z at 2.5% significance level = 1.96

zsqrt[p(1-p) ÷ n] = 1.96sqrt[0.65(1-0.65) ÷ 60] = 1.96sqrt[0.2275 ÷ 60] = 1.96sqrt(3.792×10^-3) = 1.96×0.062 = 0.122

Lower limit = p - 0.122 = 0.65 - 0.122 = 0.528

Upper limit = p + 0.122 = 0.65 + 0.122 = 0.772

95% confidence interval is between 0.528 and 0.772

5 0

2 years ago

Please answer 26 and 27 please thank you

ser-zykov [4K]

Answer:

Part 26) $3\frac{1}{4}\ in$

Part 27) $2\frac{2}{3}\ cups$

Step-by-step explanation:

Part 26)

we know that

The length of Alana's hair was 9 3/4 inches

After her haircut, the length was 6 1/2 inches

To find out how many inches did she have cut subtract 6 1/2 from 9 3/4

but first

Convert mixed number to an improper fraction

$9\frac{3}{4}\ in=\frac{9*4+3}{4}=\frac{39}{4}\ in$

$6\frac{1}{2}\ in=\frac{6*2+1}{2}=\frac{13}{2}\ in$

Find the difference

$\frac{39}{4}-\frac{13}{2}=\frac{39-26}{4}=\frac{13}{4}\ in$

Convert to mixed number

$\frac{13}{4}\ in=\frac{12}{4}+\frac{1}{4}=3\frac{1}{4}\ in$

Part 27)

we have that

Emeril used a total of 7 1/4 cups of flour to make three pastries

He used 2 1/4 cup of flour for the first and 2 1/3 cups of flour for the second

To find out how much cups of flour Emeril use for the third pastry, subtract the sum of the cups of flour used in the first and second pastry from the total cups of pastry used

Let

x ----> number of cups of flour used in the third pastry

$x=7\frac{1}{4}-(2\frac{1}{4} +2\frac{1}{3})$