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Cerrena [4.2K]
3 years ago
11

Which equation is equivalent to 3 = 87 - h?

Mathematics
1 answer:
kow [346]3 years ago
8 0

Answer:

h = 84

Step-by-step explanation:

3 = 87 - h

h + 3 = 87  (Add h to both sides)

h = 84 (Subtract 3 from both sides)

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What is one and a half times a right angle?
Serga [27]

Answer:

135

Step-by-step explanation:

1 1/2 * 90=135

8 0
3 years ago
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5
forsale [732]

Answer:

x=-4

Step-by-step explanation:

The given equation is

3-2|0.5x+1.5|=2

Subtract 3 from both sides.

3-2|0.5x+1.5|-3=2-3

-2|0.5x+1.5|=-1

Divide both sides by -2.

\dfrac{-2|0.5x+1.5|}{-2}=\dfrac{-1}{-2}

|0.5x+1.5|=0.5

If |x|=a, then x=a or x=-a.

0.5x+1.5=\pm 0.5

Case 1: 0.5x+1.5=0.5

Subtract 1.5 from both sides.

0.5x=0.5-1.5

0.5x=-1

Divide both sides by 0.5.

x=-2

Case 2: 0.5x+1.5=-0.5

Subtract 1.5 from both sides.

0.5x=-0.5-1.5

0.5x=-2

Divide both sides by 0.5.

x=-4

Therefore, one solution is x=-2 and other solution is x=-4.

5 0
4 years ago
Read 2 more answers
Find the slope of the line that passes through the pair of points. (4, 5), (10, 0) 5/6 -5/6 -6/5 6/5
yanalaym [24]
Use the slope formula \dfrac{y_2-y_1}{x_2-x_1} and plug in the values for x and y.
\dfrac{0 - 5}{10 - 4} = \dfrac{-5}{6}
4 0
3 years ago
A family of 2 adults and 3 children goes to a play. Admission cost $8 per adult and $5 per child. What expression would show the
Reika [66]
The answere to your question is $31 because 2 times 8 is 16 and 3 times 5 is 15 so if 15 plus 15 is 30 but sense it is 16 instead of 15 it is $31.
7 0
3 years ago
A computer software vendor claims that a new version of its operating system will crash fewer than 10 times per year on average.
Oksana_A [137]

Answer:

Step-by-step explanation:

The hypothesis is written as follows

For the null hypothesis,

µd ≤ 10

For the alternative hypothesis,

µ > 10

This is a right tailed test

Since no population standard deviation is given, the distribution is a student's t.

Since n = 97

Degrees of freedom, df = n - 1 = 97 - 1 = 96

t = (x - µ)/(s/√n)

Where

x = sample mean = 8.9

µ = population mean = 10

s = samples standard deviation = 3.6

t = (8.9 - 10)/(3.6/√97) = - 3

We would determine the p value using the t test calculator. It becomes

p = 0.00172

Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.

3 0
3 years ago
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