1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DerKrebs [107]
3 years ago
15

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times t

he first. What are the numbers?
Which three expressions could be used to represent the numbers?
Mathematics
1 answer:
Burka [1]3 years ago
5 0
Hello,

Let's assume a,b,c the 3 numbers

a+b+c=62
b=a-4
c=4*a

==>a+(a-4)+4a=62
==>6a=66
==>a=11
b=11-4=7
c=4*11=44
The 3 numbers are 11;7;44

Proofs:
11+7+44=62
7=11-4
44=4*11


You might be interested in
Rachel is bowling with her friends. her bowling ball has a radius of 4 inches. as she bowls she tracks the location of the finge
Goshia [24]

Question Continuation

The finger hole changes by 45 degrees.

Define a function, f, that gives the height of the finger hole above the ground (in inches) in terms of the angle of rotation (measured in radians) it has swept out from the 12 o'clock position.

Answer:

f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

Step-by-step explanation:

Given

Let represent radius

r = 4 inches

Considering that she starts tracking the location when the finger hole is at the 12 o'clock; this means that the angle measurement at this point is 0°.

Let θ represent the angle

At 12 o'clock mark

θ = 0

When the finger hole changes by 45 degrees

θ = 45°

Convert 45° to radians

θ = 45° * π/180

θ = π/4

So, angle θ is such that θ∈[0, π/4]

This can be represented as

0 ≤ θ ≤ π/4

Calculating the measure of f(θ) in polar coordinates

When θ = 0, f(θ) = r (i.e. the current position of the bowl)

When θ = π/2, f(θ) = rcosθ

This is so because f(θ), being the function of the height is a measure of the radius* cos(θ)

Taking measurement of f(θ) from 0 to π/2

f(θ) = r + rcosθ

f(θ) = r(1 + cos(θ))

So, f(θ) = r(1 + cos(θ)) for 0 ≤ θ ≤ π/4

7 0
2 years ago
149 x 62<br>286 x 3) =<br>340 x 25 =<br>4 63 x 81<br>524 x 64 =<br>6<br>79 X 3 =<br>764 x 70 =​
notka56 [123]
149x62=9238
268x3)=no answer syntax error
340x25=8500
463x81=37503
524
3 0
3 years ago
Can you figure this out? easy 34 points
lianna [129]
Answer is 1 1/2 once u solve the equation or 3/2
4 0
3 years ago
Read 2 more answers
Which point on the scatter plot is an outlier? A scatter plot is shown. Point D is located at 1 and 1, Point C is located at 2 a
katovenus [111]

Answer:

The outlier is:

Point A.

Step-by-step explanation:

We know that an outlier is a point that stands out as compared to the rest of the data points.

Clearly from the scatter plot based on the given points in the question we get tat Point A is an outlier because it attains a different value as compared to the rest of the data points.

Hence, the outlier is:

Point A.

6 0
2 years ago
Read 2 more answers
You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. Wha
Lilit [14]

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline {and thats about it!}

3 0
2 years ago
Other questions:
  • Lucas will receive one time cash flows of 7100, 8700 and 12500 at the end of years 1,2, and 3 respectively. What’s is the future
    10·1 answer
  • Please help with this q
    15·1 answer
  • What is the value of X
    11·1 answer
  • I need help with this math problem
    10·1 answer
  • The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
    12·1 answer
  • Thelma and David built a recycling bin that is 6 feet wide 12 feet long and 14 feet high . How much trash can fit inside of the
    6·2 answers
  • Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the
    7·2 answers
  • G−16=8 what does g stand for
    5·2 answers
  • Select all statements that are true about the triangles.
    9·1 answer
  • What is the y-intercept of the function f(x) = 2.3*?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!