All categories

3 years ago

Dante's family has completed 40% of a trip. They have traveled 25 miles. how far is the entire trip?

Mathematics

1 answer:

scoundrel [369]3 years ago

5 0

Answer: The entire trip is 62.5 miles

Step-by-step explanation:

25 miles = 0.4x

Divide both sides by 0.4

25/0.4 = 62.5 miles

You might be interested in

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago

Can 40:70 be simplified?

Veseljchak [2.6K]

No they are not equivalent and if you are trying to get a mixed number try dividing

8 0

3 years ago

What is the slope of this line?

lianna [129]

The slope would be 0.

5 0

3 years ago

Read 2 more answers

In a rational function, is the horizontal shift represented by the vertical asymptote?

ziro4ka [17]

<h3>Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>

A bit of further explanation:

The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.

Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h

For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.

7 0

3 years ago

Find the slope of the line. <br><br> A. 1/3<br> B. - 1/3<br> C. 3<br> D. -3

BARSIC [14]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (0, -2) and (6, 0).

Substitute:

$m=\dfrac{0-(-2)}{6-0}=\dfrac{2}{6}=\dfrac{1}{3}$

<h3>Answer: A. 1/3</h3>

3 0

3 years ago