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3 years ago

What is the answer to 6 – 4r = -3r

Mathematics

2 answers:

hodyreva [135]3 years ago

7 0

Let's solve for "r" by bringing them all to one side.
-3r=6-4r
+4r +4r
r=6
So, r is equal to 6.

loris [4]3 years ago

3 0

So you have to add the like terms together,

6 - 4r = -3r
+4r +4r

6=1r
Divide 1 to both sides.

6=r

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According to company records, 128 of 460 employees purchase health insurance through the company. The chief human resources offi

Doss [256]

Answer:

$\dfrac{128}{460}\times 100 \approx \bold{27.83\%}$

Step-by-step explanation:

Given that:

Number of employees who purchased health insurance through the company = 128

Total number of employees = 460

To find:

Expression to find out the percentage of employees that purchase health insurance through the company ?

Solution:

Percentage of employees that purchase health insurance through the company:

$\dfrac{\text{Number of employees that purchase health insurance through the company}}{\text{Total number of employees}}\times 100$

= $\dfrac{128}{460}\times 100 \approx \bold{27.83\%}$

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3 years ago

A six-sided number cube is rolled. Find the probability of rolling a 3 or a number greater than 4. A. 1/18 B. 1/6 C. 1/2 D. 2/3

ale4655 [162]

The answer is C.1/2 because there is only possible numbers are 3,5,6.

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3 years ago

The surface area of a rectangular prism is 15 m2.

ch4aika [34]

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You answer is C. 150,000 cm²

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3 years ago

The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

$2x+4x=180$

solve for x

$6x=180$

$x=30$

step 2

Find the measure of an exterior angle

substitute the value of x

$2x=2(30)=60\°$

step 3

Find the measure of an interior angle

substitute the value of x

$4x=4(30)=120\°$

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6 0

3 years ago

A tunnel is 300 feet deep and makes an angle of 30 with the ground .

Goshia [24]

Answer:

$\boxed{C.\:\: 600\:feet}$

Step-by-step explanation:

The tunnel, the ground and the depth of the tunnel form a right angle triangle.

The length of the tunnel is the hypotenuse of the right triangle that has been formed.

Let the length of the tunnel be $m\: feet$ .

Using the sine ratio, we obtain;

$\sin(30\degree)=\frac{Opposite}{Hypotenuse}$

The length of the opposite side is $300\:feet$

We substitute the given values to obtain;

$\sin(30\degree)=\frac{300}{m}$

$\Rightarrow \frac{1}{2}=\frac{300}{m}$

We cross multiply to obtain;

$m=300\times2$

$m=600\:feet$

Therefore the correct answer is C.

4 0

3 years ago