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2 years ago

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Seventy of Myra’s classmates are traveling by bus to a football game in another town. They hired 2 buses, but there were only 64

seats. The remaining 6 students had to travel in a separate van. The equation 2b + 6 = 70 represents the given scenario. What does b represent? the number of buses the number of vans the number of students who rode on each bus the total number of students going to the football game

2 answers:

seraphim [82]2 years ago

8 0

Answer:

C. the number of students who rode on each bus.

Step-by-step explanation:

Rus_ich [418]2 years ago

4 0

Answer:

C.the number of students who rode on each bus

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Help please anyone ASAP

baherus [9]

Answer : 60x
15x^2/y × 4y^2/xy
60x^2y^2/xy^2
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2 years ago

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square y

svetoff [14.1K]

Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.

We find the angle made at the opposite of the 45 yd side using the sine rule as follows.
$\frac{\sin{A}}{a} = \frac{\sin{B}}{b} \\ \frac{\sin{25^o}}{20} = \frac{\sin{B}}{45} \\ \sin{B}= \frac{45\sin{25^o}}{20} = \frac{19.0178}{20} =0.9509 \\ B=\arcsin{(0.9509)}=71.97^o$

Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.

We also use the sine rule to find the third side of the triangle as follows.
$\frac{\sin{A}}{a} = \frac{\sin{C}}{c} \\ \frac{\sin{25^o}}{20} = \frac{\sin{83.03^o}}{c} \\ c= \frac{20\sin{83.03^o}}{\sin{25^o}} = \frac{19.8522}{\sin{25^o}} =46.97 yds$

Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds

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2 years ago

Read 2 more answers

Which graph matches the equation y+3=2(x+3)?

Vlad1618 [11]

Answer:

The graph that includes points (-3,-3) and (0,3)

Step-by-step explanation:

In the pictures attached, the options are shown.

The equation:

y+3=2(x+3)

has the point-slope form, which is:

y-y₁=m(x-x₁)

where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:

y+3=2(0+3)

y+3 = 6

y = 6 - 3

y = 3

Then, point (0, 3) is on the line.

8 0

2 years ago

Exhibit 11-2 We are interested in determining whether the variances of the sales at two music stores (A and B) are equal. A samp

Fiesta28 [93]

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

Sample 1 $n=25$

Standard deviation 1 $\sigma_1=30$

Sample 2 $n=16$

Standard deviation 2 $\sigma_2=20$

Level of confidence $\alpha=95\%=>0.95$

Generally The Hypothesis are given as

$H_0:\sigma_1^2=\sigma_1^2$

$H_1:\sigma_1^2\neq \sigma_1^2$

Generally the equation for test Statistics is mathematically given by

$T=\frac{\sigma_1^2}{\sigma_2^2}$

$T=\frac{30^2}{20^2}$

$T=2.25$

Therefore

Critical Value

$X=(\alpha,df_1)$

$X'=(\alpha,df_2)$

Where

$df=n-1$

Therefore

$X=(0.95,24)$

$X'=(0.95,15)$

From Table

$T_{Critical}=T_x,T_{x'}$

$T_{Critical}=0.41,2.701$

Therefore

$T_x$

Hence,We fail to reject the Null Hypothesis $H_0$

Option A , should not be rejected

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1 year ago

A bicycle wheel has an inside radius of 12 inches. Which expression could be used to find the inside circumference of this wheel

il63 [147K]

Step-by-step explanation:

We have given that,

The inner radius of a bicycle wheel is 12 inches.

It is required to find the expression to find the inside circumference of this wheel.

The outer surface of the wheel is equal to its circumference. It is given by :

$C=2\pi r$

r is radius of wheel

$C=2\times 3.14\times 12\\\\C=75.36\ \text{inches}$

This is the required explanation.

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2 years ago