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nika2105 [10]
3 years ago
13

What is 2a+3b=5 B=a-5?

Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5.  Then, distribute 3 into a - 5 to get 3a - 15 when expanded.  Combine the two like terms 2a and 3a to get 5a.  Then, add 15 on both sides to get to this equation which is 5a = 20.  Divide 5 on both sides to get your a-value which is 4.

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Answer:

\sqrt{53}

Step-by-step explanation:

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3 years ago
What is the diameter of the cylinder if the height is 13, and the volume is 1256? Use 3.14 for pi.
Sergio039 [100]
Volume of a cylinder = πr²h

1256 = (3.14) x (r)² x (13)

1256 = 40.82r²

r² = 1256 ÷ 40.82

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Diameter = Radius x 2

Diameter = 5.547 x 2 

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If you have $30 and the ratio is 3:7, what does the 7 represent?
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Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot sh
fgiga [73]

The scatter plot showing data gathered and line of best fit is attached below :

Answer:

69

Step-by-step explanation:

Given the regression model :

y = 1.73x + 0.0924

Where,

y = number of pink flowers

x = Red flowers

Slope = 1.73

Intercept = 0.0924

The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :

Put x = 40 and calculate the value of y

y = 1.73(40) + 0.0924

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y = 69.2924

Number of pink flowers = 69

8 0
3 years ago
48. Reading Rates The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute a
son4ous [18]

Answer:

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 125, \sigma = 24

What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile

This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 125}{24}

X - 125 = 1.28*24

X = 155.72

The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.

4 0
3 years ago
Read 2 more answers
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