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docker41 [41]
3 years ago
14

How can you decide which operation to use to solve a problem?

Mathematics
1 answer:
almond37 [142]3 years ago
7 0

Answer:

it you're asking for like an equation like "4x +3 = 15 " then you do the opposite of what the equation is doing. Basically undoing the problem to get back to the roots of it. like for the example i provided you would subtract 3 from both sides, because it was added originally. then you would divide both sides by 4 because originally you were multiplying.

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Can someone please help me and explain how to solve them <br> Will give 45 points
kobusy [5.1K]
Recall that the perimeter is the sum of all the sides.  So, for the first triangle, the perimeter is 4x+2+7x+7+5x-4 = 16x + 5 

second triangle:  x+3 + 2x-5 + x+7  (combine like terms)

Part b:  Subtract the perimeter of the smaller triangle from the perimeter of the larger triangle.

6 0
3 years ago
Read 2 more answers
Solve the following inequalities and show the solution on a number line.<br><br> 2x+3&lt;3(4x+5)
Novosadov [1.4K]

Answer:

2x + 3 < 3 * (4x + 5)

2x + 3 < 12x + 15

3 < 10x + 15

-12 < 10x

x > -1.2



8 0
4 years ago
A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of
GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.989.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0
3 years ago
The circumference of a circle is 15n cm what is the area of the circle in terms of n
Mice21 [21]

Answer:

Area of circle is \dfrac{225n^{2}}{4\pi} cm^{2}

Step-by-step explanation:

Formula for circumference of circle is given as,

C=2\pi r

Given that C = 15 n cm,

Substituting the value,

15n=2\pi r

Solving above equation for r, divide both side by 2\pi

\dfrac{15n}{2\pi}=\dfrac{2\pi r}{2\pi}

Simplifying,

\dfrac{15n}{2\pi}=r

Formula for area of circle is given as,

A=\pi r^{2}

Substituting the value of r,

A=\pi \left(\dfrac{15n}{2\pi}\right)^{2}

Squaring the parenthesis,

A=\pi \left(\dfrac{225n^{2}}{4\pi^{2}}\right)

Cancelling out the common term,

A=\dfrac{225n^{2}}{4\pi}

Therefore, area of circle in terms of n is A=\dfrac{225n^{2}}{4\pi} cm^{2}

5 0
4 years ago
Helpphelpphelpphelpphelpp<br> helpphelpphelpphelpphelpphelpphelpphelpphelpphelpphelpphelpphelpp
umka2103 [35]

Answer:

wait what?

Step-by-step explanation:

7 0
3 years ago
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