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2 years ago

The sum of two numbers is 50 and their difference is 4 what are the two numbers

Mathematics

1 answer:

Deffense [45]2 years ago

6 0

Answer:

27 and 23

Step-by-step explanation:

We can solve this problem as a system of equations. X is the first number and Y is the second number.

The first equation is x+y = 50 and the second equation is x-y=4

Now we solve the system, using elimination method:

x+y=50

x-y=4

2x = 54

x = 54/2

x = 27

And from any of the equations we can find Y

27 + y = 50

y = 50 - 27

y = 23

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It takes Natalie five hours to tar a roof. Imani can tar the same roof in ten hours. How long would it take them if they worked

tresset_1 [31]

Answer:

C. 3.33 hours

Step-by-step explanation:

Use the algebra work equation:

$\frac{1}{tb}$ = $\frac{1}{t1}$ + $\frac{1}{t2}$ , where tb is the time to work together, t1 is the time it takes one person, and t2 is the time it takes the other person

Plug in the values we know:

$\frac{1}{tb}$ = $\frac{1}{5}$ + $\frac{1}{10}$

$\frac{1}{tb}$ = $\frac{4}{20}$ + $\frac{2}{20}$

$\frac{1}{tb}$ = $\frac{6}{20}$

20 = 6tb

3.33 = tb

So, it would take them 3.33 hours when working together.

5 0

3 years ago

Question 9 of 10

denis-greek [22]

The answer should be A and D

4 0

2 years ago

Find the equation of the line. Use exact numbers.

postnew [5]

Answer:

y=1/2x-3

is the slope intercept form

Step-by-step explanation:

Hope this helps :) Have a great day!!!

3 0

2 years ago

Two high-speed ferries leave at the same time from a city to go to the same island. The first ferry, the Cat, travels at 34 m

djyliett [7]

Answer:

They will be 5 miles apart in 1 hour

Step-by-step explanation:

Here, we want to calculate the time it will take for the two ferries to be 5 miles apart

Mathematically; distance = speed * time

Let the number of hours be x

In x hours, the cat will have traveled 34 * x = 34x miles

In x hours, the Bird will have traveled 29 * x = 29x miles

So;

34x - 29x = 5

5x = 5

x = 5/5

x = 1 hour

4 0

2 years ago

a globe has a diameter of 24 inches. a smaller globe has a diameter of 18 inches. What is the surface are to volume ratio of the

faust18 [17]

Answer:

1 pi: 3pi

Step-by-step explanation:

Step 1: Formula of surface area and volume of sphere

Surface area of sphere = 4 x pi x r^2

Volume of sphere = <u>4</u> x pi x r^3

Step 2: Apply values in the formula

r = radius

radius = diameter/2

r=18/2 = 9

S.A = 4 x pi x 9^2

S.A = 324pi

Volume = <u>4</u> x pi x 9^3

Volume = 972pi

Step 3 : Show in ratio

Surface area : Volume

324pi : 972pi

= 1 pi: 3pi

6 0

3 years ago