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3 years ago

The sum of two numbers is 18. 5 times the first number subtracted from 4/7 of the second number is 14. Find the number.

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer:

The sum of two numbers is 18.

5 times the first number subtracted from 4/7 of the second number is 14.

First number --> x

Second number --> y

x + y = 18 --> x = 18-y

5x - (4/7)y = 14

5 (18-y) - (4/7)y = 14

90 - 5y - 4/7 y = 14

-5.57 y = 14-90

y = 13.64

x = 18 - 13.64

x = 4.36

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Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds.

Gemiola [76]

Answer:

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33 (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49 (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058 (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

5 0

3 years ago

12x+15y=-45 put into slope-intercept form, simplify all fractions.

Karo-lina-s [1.5K]

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

7 0

2 years ago

-28-(-16)= What is the answer

Finger [1]

Answer:

-12

Step-by-step explanation:

Step 1: Find the answer

Subtracting a negative number is same as adding a positive number

-28 - (-16)

-28 + 16

-12

Answer: -12

3 0

3 years ago

What are the steps for drawing the midsegment of any triangle on a coordinate plane

marin [14]

This construction uses Constructing the Perpendicular Bisector of a Line Segment to find the midpoints of the sides.

To construct a midsegment, find the midpoint of two sides. This can be done by drawing a perpendicular bisector on one side of the triangle.

I hope my answer has come to your help. God bless and have a nice day ahead!

3 0

3 years ago

Write a power represented with a positive base and a positive exponent whose value is less then the base

sasho [114]

Answer:

The question is open ended as i suppose since there are infinitely many possibilities. one possible form of the solution can be $5^{2}$

Step-by-step explanation:

The base in this case is 5 while the exponent is simply the power to which the base is raised in which case it would be 2. Both values are positive and the exponent is less than the base.

6 0

3 years ago