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3 years ago

Two numbers are in a ratio of 1:4 and their sum is 50. What is the smaller number?

1 answer:

3 0

Let us assume the common ratio to be = x
Then
(1 * x) + (4 * x) = 50
x + 4x = 50
5x = 50
x = 50/5
= 10
So from the above deduction, we get the common ratio to be equal to 10
Then
The smallest number = 1 * x
= 1 * 10
= 10

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Solve for a<br> 3(2a+6)=4(a+10

Svetllana [295]

Answer:

a = 11

Step-by-step explanation:

distribute and combine like terms

6a + 18 = 4a + 40

2a = 22

a =11

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2 years ago

The circumference of the outside of a ring is 66 mm, and it has an outer diameter of 21 mm. If the circumference of the inside o

scoray [572]

Answer:

Here Bub. (Nice PfP) I got aproximently 16 (15.924).

Step-by-step explanation:

The formula for Circumference if I remeeber right is pi times diameter. Now we can flip the equation to Circumference divided by pi. If pi is the standard pounding of 3.14, you will get 15.9235, almost 16

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2 years ago

Sara sold hotdogs and drinks at the soccer game.

Anarel [89]

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

7 0

3 years ago

Leo spent the same amount of time working on each of 5 different weight machines and then spent Two-thirds of an hour on the tre

Sidana [21]

Answer:

5x + 2/3 = 1 3/4 / Leo spent 13 minutes at each machine.

Step-by-step explanation:

There are 5 weight machines. Leo spent a equal amount of time at each weight machine, but we don't know how much time. (5x) We then learn that he spent 2/3 of his time on the treadmill. (5x + 2/3) Leo spent 1 3/4 hours at the gym. (5x + 2/3 = 1 3/4) Now that we have our equation, all that's left to do is solve for x. Change your fractions into numbers. (5x + 40 = 105) After solving for x, you will determine that Leo spent 13 minutes at each machine.

3 0

3 years ago

Read 2 more answers

What expression is equivalent to x2 - 49

melisa1 [442]

Answer:

x^2 - 49= (x+7) (x -7)

Step-by-step explanation:

7 0

2 years ago