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3 years ago

The function representing David's miles per month is f(m) = 115m + 5. What does the 115 represent?

1 answer:

6 0

115 is the slope, and 5 is the y intercept. They tried tricking you by making x turn into m so you think you don't know the slope

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4 divided by 457. Please list the steps

exis [7]

You find out how many times 4 goes into 4 and get 1 then you find out how many times 4 goes into 5 and get 1 but you subtract 5 minus 4 and get 1 then bring down the 7 to get 17 then find out how many times 4 goes into 17 which is 4 times because 4 times 4 is 16 and you do 17 minus 16 and get 1 then add a decimal and bring down the 1 to get 10 then find out how many times 4 goes into 10 and get 2 subtract and get 2 bring down the zero turn it into 0 then you get 20 then find out how many times 4 goes into 20 and get 5 and 4*5=20 so 20-20 is 0 so your answer is 114.25

5 0

2 years ago

Read 2 more answers

A box has dimensions of 14 inches long, 1.5 feet wide, and

Liula [17]

1764 inches cubed. First you multiply 1.5 times 12 so that it is in inches. Then u get 18. U multiply 14 by 18 by 7 and u get 1764.

7 0

3 years ago

My friend needed help with this and I found the height through the theorem but can't figure out how to get the base of the overa

Aleksandr-060686 [28]

You found CD from the Pythagorean theorem to be ...

... CD = √(5² -2²) = √21

Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:

... AC/AD = AB/AC

... AB = AC²/AD

... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle

_____

Then the area (A) is ...

... A = (1/2)bh

... A = (1/2)(12.5)(√21) ≈ 28.64 square units

_____

As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...

... ADC ~ CDB ~ ACB

You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.

6 0

2 years ago

It takes 15 minutes to preheat your oven to 325 degrees. For an oven preheated to 325 degrees, the recommended cooking time for

Alisiya [41]

Answer:

(a) T = (15 + 16p) minutes

(b) It will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

Step-by-step explanation:

(a) To determine the total time T needed to preheat the oven and then bake a turkey weighing p pounds

We will sum the time needed to preheat the oven to the time needed to bake the turkey.

From the question,

It takes 15 minutes to preheat the oven to 325 degrees;

Also,

It takes 16 minutes per pound to bake a turkey in the preheated oven.

That is, to bake a turkey weighing p pounds in the preheated oven, it will take

p pounds × 16 minutes / pound = 16p minutes

Hence, the total time T needed to preheat the oven and then bake a turkey weighing p pounds is

T = 15 minutes + 16p minutes

T = (15 + 16p) minutes

This is the formula that express the total time T, in minutes, needed to preheat the oven and then bake a turkey

(b) To find the approximate time required to prepare a turkey weighing 14 pounds.

From the formula in (a)

T = (15 + 16p) minutes

where p is the weight in pounds of a turkey

Then,

T = 15 + 16(14)

T = 15 + 224

T = 239 minutes

Hence, it will takes approximately 239 minutes to prepare a turkey weighing 14 pounds

7 0

3 years ago

Find the width of the rectangular prism when the surface area is 208 square centimeters.

ozzi

SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.

7 0

3 years ago