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777dan777 [17]
4 years ago
6

A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct

to the nearest mile, the total distance they will travel on their trip.
Mathematics
1 answer:
denis23 [38]4 years ago
6 0

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

0.37x = 114

x = \frac{114}{0.37}

x = 308.11

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

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X - 32.2 = 18.5 how do you solved this
Salsk061 [2.6K]

x-32.2= 18.5

Add 32.2 to both sides

x-32.2+32.2 = 18.5 + 32.2

x = 50.7

I hope that's help !


Check your answer

replace x by its number

50.7-32.2= 18.5

18.5 = 18.5

so the answer is good .


Please let me know if you have question(s) !


3 0
4 years ago
NEED ANSWER
grandymaker [24]

Answer:

\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1

Step-by-step explanation:

An ellipse centered a point (h,k) has the following formula:

\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}}=1

The distance between foci is:

2\cdot c = \sqrt{[8-(-8)]^{2}+(0-0)^{2}}

2\cdot c = 16

c = 8

The center of the ellipse is:

C(x,y) = (-8 + 8, 0 + 0)

C(x,y) = (0,0)

The known vertex is on the horizontal axis of the ellipse. Then, the length of the semi-major axis is:

a = \sqrt{(12-0)^{2}+(0-0)^{2}}

a= 12

The length of the semi-minor axis is given by the following expression:

c =\sqrt{a^{2}-b^{2}}

b = \sqrt{a^{2}-c^{2}}

b = \sqrt{12^{2}-8^{2}}

b \approx 8.944

The equation of the ellipse is:

\frac{x^{2}}{144}+\frac{y^{2}}{79.995}=1

5 0
4 years ago
HELP PLEAAASEEE Ireland opened a bag or skittles and recorded the colors and their frequencies.
Anna11 [10]

The correct answer is 25%

<h3>What is Relative Frequency?</h3>
  • The number of times an event occurs divided by the total number of events occurring in a given data.

<h3>How to solve the problem?</h3>
  • This problem can be solved by following steps.
  • The data of color and frequency is given in table.
  • We need find the relative frequency for Purple

First calculate the the total number of frequency

18+20+10+16

= 64

The total number of frequency is 64

Hence the relative frequency of purple is 16/64

Therefore , relative frequency of purple is 1/4 = 0.25

Therefore 25% of purple candies are there

Learn more about Relative frequency here

brainly.com/question/3857836

#SPJ2

7 0
2 years ago
Read 2 more answers
Help me solve this ASAP. Will mark brainlest Give the equation of the line with the following slope and.y-intercept m=0 b=7/2
svetlana [45]

Answer:

y = \frac{7}{2}

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis.

The equation of a horizontal line is

y = c

where c is the value of the y- coordinates the line passes through.

Here the line passes through (0, \frac{7}{2} ) with y- coordinate \frac{7}{2} , thus

y = \frac{7}{2} ← equation of line

6 0
3 years ago
Seven pizzas were ordered for a company lunch. During the lunch, 75% of the pizzas were eaten. If each pizza had 8 slices, how m
aleksandrvk [35]

Answer:

14 slices

Step-by-step explanation:

First, for simplicity, find the total number of slices.

7*8=56 slices

Now, multiply that by 75%, or .75.

56*.75=42 slices

Finally, to find the ones not eaten, subtract 42 from 56.

56-42=14 slices

4 0
4 years ago
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