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castortr0y [4]
3 years ago
5

47 is 10 less than my number. 67 is 10 more than my number. What is my number

Mathematics
2 answers:
-BARSIC- [3]3 years ago
4 0
Your number is 57.
Because....
47 + 10 = 57
67 - 10 = 57
Hope that helps!
docker41 [41]3 years ago
3 0
Your number is 57 because 67 - 10 = 57 and 47 + 10 = 57.
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Which shows the expressions rewritten with the least common denominator?
baherus [9]

Answer:

  D.  (14x-4)/(8x^2) and (x^2-x)/(8x^2)

Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

  \left\{\dfrac{7x-2}{4x^2},\ \dfrac{x-1}{8x}\right\}=\left\{\dfrac{7x-2}{4x^2}\cdot\dfrac{2}{2},\ \dfrac{x-1}{8x}\cdot\dfrac{x}{x}\right\}\\\\=\left\{\dfrac{14x-4}{8x^2},\ \dfrac{x^2-x}{8x^2}\right\}

7 0
2 years ago
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per t
lys-0071 [83]

Answer:

The null and alternative hypothesis for this study are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624

This test is a left-tailed test, so the P-value for this test is calculated as:

P-value=P(z

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

3 0
3 years ago
What is the locus of centers of all circles passing through point A and Point B, which are two fixed points in a plane.
Aleks04 [339]

Answer:

  the locus is the perpendicular bisector of the segment

Step-by-step explanation:

The points equidistant from A and B lie on the line that is the perpendicular bisector of segment AB.

_____

<em>Comment on this geometry</em>

You take advantage of this fact when you construct a circle through 3 points. You construct the perpendicular bisectors of segments between pairs of the points, and locate the center of your circle at their intersection.

3 0
3 years ago
The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6. 2 feet and width of 1. 8 feet. A larger
ankoles [38]

The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.

<h3>What is perimeter of plane?</h3>

The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.

A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,

P_s=6.2+1.8\\P_s=8\rm\; ft

The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,

r=\dfrac{12.4}{6.2}\\r=2

The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,

P_l=2\times16\\P_l=32\rm\; ft

The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,

w_l=1.8\times2\\w_1=3.6\rm\; ft

Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.

Learn more about the perimeter of plane here;

brainly.com/question/1662271

4 0
2 years ago
Help me out on this one pliz i need help
nikitadnepr [17]
First guess: 1200
Second guess: 106
8 0
3 years ago
Read 2 more answers
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