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
velikii [3]
3 years ago
5

Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38

Mathematics
1 answer:
expeople1 [14]3 years ago
6 0
EXPLANATION

The consecutive even numbers are
370 \: and \: 372

EXPLANATION

Let
x
be the first even number then, the next even number will be,

x + 2

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,


\frac{1}{2} (x + 2) -  \frac{2}{5} x = 38


We multiply through with an LCM of 10 to get,



10 \times \frac{1}{2} (x + 2) - 10 \times  \frac{2}{5} x = 38 \times 10


This simplifies to,


5(x + 2) -  4x = 380


We expand the brackets to get,


5x + 10 - 4x = 380

We group like terms to get,


5x - 4x = 380 - 10



This simplifies to
x = 370

Therefore the next even number is is
372
You might be interested in
A person wants to grow potatoes in his backyard. His backyard plot is 60ft by 60 ft and he can plant 2 potatoes for every square
Fantom [35]

Answer:

1800 potatoes

Step-by-step explanation:

60ft x 60ft = 3600 square feet

3600/2=1800

8 0
2 years ago
When x-y=3 work out the value of y-x
GalinKa [24]

The value of y-x is (-3)

<u>Solution:</u>

Given: The value of x-y=3

To find: The value of y-x

\bold{x-y=3\rightarrow (1)}

Let's multiply the equation (1) by (- 1) on both sides,

\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}

\Rightarrow\bold{-(x-y)=-3}

On multiplying the sign,

\Rightarrow\bold{(-x+y)=-3}

The above equation can also be written as,

\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}

<u>Multiplication of signs:</u>

\Rightarrow( + )\times( + ) = ( + )

\Rightarrow( + )\times( - ) = ( - )

\Rightarrow( - )\times( + ) = ( - )

\Rightarrow( - )\times( - ) = ( + )

In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.

5 0
3 years ago
What single transformación maps ABC onto ABC ?
Thepotemich [5.8K]

Answer:

a reflection across y-axis then translation of 1 unit right and 2 units up.

a clockwise rotation of 180° about the origin then a translation of 1 unit right and 3 units up

a reflection across y-axis then translation of 1 unit right and 1 unit down

a reflection across y = x then a positive rotation of 270° about the origin

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the distance around a triangle that has measuring 2 1/8 feet,3 1/2 feet, 2 1/2 feet
N76 [4]

Perimeter: 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8

Hope this will help you!

3 0
2 years ago
I need help with math xl please! See attached
Elden [556K]

I had to answer a question similar to that one on Math XL. This question was about renting a truck instead of needing a 48 mile taxi. (Took me a long time just to find the truck question, but I am giving you the truck help me answer the question, in hopes that it will help you.)

The cost of renting a truck from Hamilton Auto Rental is ​$47.60 per day plus ​$0.15 per mile. The expression 47.60 plus 0.15 m represents the cost of renting a truck for one day and driving it m miles. Evaluate 47.60 plus 0.15 m for m equals 120.


Substitute the numerical value for each variable into the expression and simplify the result.


I am sorry if that didn't help you, but it was the closest thing I could find to use to help you.

4 0
2 years ago
Other questions:
  • Kedar earns a monthly salary of $2,200 plus a 3.75% commission on the amount of his sales at a men's clothing store. What would
    6·1 answer
  • A small town surveys 250 adults, 180 of which are parents, about whether or not a park should be expanded. The results showed th
    9·1 answer
  • What is the value of Y in the exponential decay function when x equals 2? y=2(0.8)x
    12·1 answer
  • Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?
    10·1 answer
  • What is the exponent of 36
    14·1 answer
  • What is the slope of a line that is perpendicular to the line y = 1?
    12·1 answer
  • How do I find the volume of the cylinder round to the nearest hundredths ​
    11·1 answer
  • Someone PLEASE HELP ME
    12·1 answer
  • Paul, Than, and Mike have each consumed four beers in the last two hours. Paul weighs 220 pounds, Than weighs 155 pounds, and Mi
    10·1 answer
  • A<br> D<br> P<br> 55°<br> С<br> (5x-35)°<br> B<br> What is the value of x?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!