All categories

2 years ago

The sum of two numbers is 18. One number is 2 more that for times the other. Find the numbers.

1 answer:

3 0

Hi there!

Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.

We can now find the sum of this expression.
X + 4X + 2

Collect terms
5X + 2

The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18

Subtract 2.
5X = 16

Divide both sides by 5.
X = 16/5 = 3 1/5.

Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2

4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are
$3 \frac{1}{5} \: \: and \: \: 14 \frac{4}{5}$

~ Hope this helps you!

You might be interested in

Please help with this page

REY [17]

1. )2.7
2.)8.875
3.)9.
4.)4.

7 0

2 years ago

Read 2 more answers

1/4 c=__pt? Fill the blank

jonny [76]

Step-by-step explanation:

A pint has 2 cups

2 cups = 1 pint

1 cup = 1/2 pint

1/4 cup = 1/2 ÷ 4 = 1/2 * 1/4 = 1/8 pint

3 0

2 years ago

Lucy had 24 beanbags and gave 1/3 of them to her friend Shelley. How many beanbags does Lucy have left?

Fantom [35]

Answer:8

1/3 divided by 24 equals 8.

6 0

2 years ago

Read 2 more answers

One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak

Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

$\frac{1}{15} x + \frac{1}{30} x = 1$

This is representative of the situation. The fractions each represent how much each person does in a minute, and when they're multiplied by x, that's how much of the project they get done based off of the minutes they work together on the job. Add the two together, and you get how much of the project is finished in x amount of time. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

$\frac{1}{15} x + \frac{1}{30} x = 1$

$\frac{2}{30} x + \frac{1}{30} x = 1$

$\frac{3}{30}x = 1$

$\frac{1}{10}x = 1$

$x = 10$

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0

3 years ago

11th grade geometry:

Aliun [14]

Answer:

The perimeter is 72 units and the area is 149 square units.

Step-by-step explanation:

$\triangle SBA$ has coordinates $S(15,-8),B(-2,21)$ and $A(0,0)$

Using the distance formula.........

Length of side $SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}$

Length of side $BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}$

Length of side $AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17$

So, the perimeter of the triangle will be: $(SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72$ units. (Rounded to the nearest unit)

The height of the triangle for the corresponding base $SB$ is 8.89 units.

Formula for the Area of triangle, $A= \frac{1}{2}(base\times height)$

So, the area of the $\triangle SBA$ will be: $\frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149$ square units. (Rounded to the nearest unit)

3 0

3 years ago