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OleMash [197]
3 years ago
14

The Schwartz family spent a total of $111.75 for Internet service for 3 months. Each month they received $5.50 as a credit on th

e bill. Which equation and solution shows the cost of their monthly Internet service before the credit?
Mathematics
2 answers:
Lesechka [4]3 years ago
4 0
3(x+5.50)=111.75 .       $31.75

kupik [55]3 years ago
3 0

Answer:

The cost of their monthly Internet service before the credit is $31.75

The required equation =  3(x+5.50)=111.75

Step-by-step explanation:

Let the monthly cost be x

Each month they received $5.50 as a credit on the bill.

The Schwartz family spent a total of $111.75 for Internet service for 3 months.

So, total cost of three moths = 3(x+5.50)

Since we are given that The Schwartz family spent a total of $111.75

So,  3(x+5.50)=111.75

x+5.50=\frac{111.75}{3}

x+5.50=37.25

x=37.25-5.50

x=31.75

Hence the cost of their monthly Internet service before the credit is $31.75

The required equation =  3(x+5.50)=111.75

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iVinArrow [24]

Answer:

B

Step-by-step explanation:

Find out how much time she took for babysitting. She took 3.5 hours.

11 - 7.5 = 3.5

Now divide 3.5 from 15.75. You get 4.5.

That means she earned $4.5 per hour

8 0
3 years ago
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Help please!! Will mark as brainlist only with an explanation
natta225 [31]

Answer:

F: 48

Step-by-step explanation:

Let x be the length of the side of the cube. RQ can be expressed as a triangle consisting of a diagonal of a face of the cube and the side length x. By the pythagorean theorem, we know that a^2+b^2=c^2. So, we can express the diagonal as x^2+x^2=c^2, giving us the value of c to be x\sqrt{2}. Now, we can once again use the pythagorean theorem to find RQ^2=2x^2+x^2=3x^2, so RQ=x\sqrt{3}=12, so x=4\sqrt{3}. To find the area of the shaded part, we multiply the length times width which gives us (4\sqrt{3})^2=48. So, the area of the shaded face of the cube is F: 48.

5 0
3 years ago
Find the surface area of the composite solid.
Westkost [7]

We have:

4 triangles with the base b = 5ft and the height h = 6ft

4 rectangles with the lenght l = 5ft and the width w = 4ft

1 square with side a = 5ft.

The formula of an area of a riangle:

A_T=\dfrac{1}{2}bh

Substitute:

A_T=\dfrac{1}{2}(5)(6)=\dfrac{1}{2}(30)=15\ ft^2

The formula of an area of a rectangle:

A_R=lw

Substitute:

A_R=(5)(4)=20\ ft^2

The formula of an area of a square:

A_S=a^2

Substitute:

A_S=5^2=25\ ft^2

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SA=4A_T+4A_R+A_S

Substitute:

SA=4(15)+4(20)+25=60+80+25=165\ ft^2

<h3>Answer: The Surface Area of the composite solid is 165 ft².</h3>
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A veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses
Licemer1 [7]

Answer:

Probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

Step-by-step explanation:

We are given that a veterinary researcher takes a random sample of 60 horses presenting with colic. The average age of the random sample of horses with colic is 12 years. The average age of all horses seen at the veterinary clinic was determined to be 10 years. The researcher also determined that the standard deviation of all horses coming to the veterinary clinic is 8 years.

So, firstly according to Central limit theorem the z score probability distribution for sample means is given by;

                    Z = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \bar X = average age of the random sample of horses with colic = 12 yrs

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   \sigma = standard deviation of all horses coming to the veterinary clinic = 8 yrs

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So, probability that a sample mean is 12 or larger for a sample from the horse population is given by = P(\bar X \geq 12)

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Therefore, probability that a sample mean is 12 or larger for a sample from the horse population is 0.0262.

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