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3 years ago

One number is three less than two times another number. If the sum of the numbers is 15, find the numbers

Mathematics

1 answer:

evablogger [386]3 years ago

7 0

9514 1404 393

Answer:

6, 9

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is 15-x (because their sum is 15). The relation between the numbers is ...

2x -3 = 15 -x . . . . . three less than twice one number is the other number

3x = 18 . . . . . . add 3+x

x = 6 . . . . . . divide by 3

15-x = 9 . . . . find the other number

The two numbers are 6 and 9.

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A car travels a total distance of 150km. At the 50 minutes mark the car has travelled 50km and at the 110 minutes the car has tr

Nitella [24]

Answer:

The average velocity is 19.44 m/s.

Step-by-step explanation:

The average velocity between two points can be calculated with the following formula:

$\bar v=\dfrac{\Delta X}{\Delta t}=\dfrac{(120-50)\, km}{(110-50)\, min}=\dfrac{70\,km}{60\,min}\\\\\\\bar v=1.667\dfrac{km}{min}*\dfrac{1\,min}{60\,s}*\dfrac{1000\,m}{1\,km}=19.44\dfrac{m}{s}$

The procedure is to calculate the difference for both distance and time, and dividing the two differences, we get the average velocity.

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3 years ago

Will give BRAINLIEST to the explanation that gives the most sense!!

Oxana [17]

The numbers I have input, it’s seems like the answer is never.

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3 years ago

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Item 19 The scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. What i

Harlamova29_29 [7]

Answer:

1857 miles.

Step-by-step explanation:

We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.

We will use proportions to solve our given problem.

$\frac{\text{Actual distance}}{\text{Map distance}}=\frac{30\text{ miles}}{1\text{ cm}}$

Upon substituting map distance between San Francisco and Chicago, we will get:

$\frac{\text{Actual distance}}{61.9\text{ cm}}=\frac{30\text{ miles}}{1\text{ cm}}$

$\frac{\text{Actual distance}}{61.9\text{ cm}}\cdot 61.9\text{ cm}=\frac{30\text{ miles}}{1\text{ cm}}\cdot 61.9\text{ cm}$

$\text{Actual distance}=30\text{ miles}\cdot 61.9$

$\text{Actual distance}=1857\text{ miles}$

Therefore, the actual distance between San Francisco and Chicago is 1857 miles.

4 0

3 years ago

An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.

weeeeeb [17]

Answer:

$20,475\ ways$

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

$C(n,r)=\frac{n!}{r!(n-r)!}$

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

$n=28\\r=4$

substitute

$C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}$

simplify

$C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}$

$C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}$

$C(28,4)=20,475\ ways$

6 0

3 years ago

Is the bisector of ∠ABC and is the bisector of ∠ACB.

ycow [4]

Answer:

ASA

Step-by-step explanation:

You can show the angles at either end of segment BC in triangles MBC and LCB are congruent, so you have two angles and the segment between. The appropriate theorem in such a case is ASA.

7 0

3 years ago