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3 years ago

Five times the sum of a number and 13 is 20. Find the number

Mathematics

2 answers:

Grace [21]3 years ago

3 0

Answer:

x = -9

Step-by-step explanation:

Step 1: Write out expression

5(x + 13) = 20

Step 2: Distribute

5x + 65 = 20

Step 3: Isolate <em>x</em>

5x = -45

x = -9

And we have our answer!

Ket [755]3 years ago

3 0

Answer:

-9

Step-by-step explanation:

Let the number be x.

5(x+13) = 20

Expand.

5x+65 = 20

Subtract 26 on both sides.

5x = 20 - 65

5x = -45

Divide 5 into both sides.

x = -45/5

x = -9

The number is -9.

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The total number of eggs in k cartons where each carton contains n eggs. Write this as an expression.

Liula [17]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

It makes more sense if you think about it in numerical terms.

Say if there were 10 eggs per carton and there were 5 cartons, what would you do to find the total?

You would multiply them

It is the same in this case

The expression would be n x k

It can be written as just nk though

Have A Nice Day ❤

Stay Brainly! ヅ

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4 0

2 years ago

Read 2 more answers

3. The sum of three consecutive numbers<br> is 42. What are the numbers?

Zanzabum

Answer:

13 + 14 + 15

Step-by-step explanation:

n + (n + 1) + (n +2) =42

n + n + n + 1 + 2 = 42

3n + 3 = 42

(subtract 3 from both sides)

3n = 39

(divide both sides by 3)

n = 13

(solve)

n + (n + 1) + (n +2) =42

13 + (13 + 1) + (13 + 2) = 42

13 + (14) + (15) = 42

13, 14, 15

(Hope this helps, have a nice day!)

3 0

3 years ago

Which equation represents a circle with the same radius as

sattari [20]

Answer :

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

Step-by-step explanation:

Given : A circle with the same radius as the circle shown but with a center at (-1.1).

To find : Which equation represents a circle ?

Solution :

The equation of a circle with center (h,k) and radius r is given by :

$(x-h)^2+(y-k)^2=r^2$

Here, we are given (h,k)=(-1,1)

and radius r=4 units

So, equation of circle will be :

$(x-(-1))^2+(y-1)^2=4^2$

$(x+1)^2+(y-1)^2=4^2$

or $(x+1)^2+(y-1)^2=16$

Therefore, the required equations of circle are

$(x+1)^2+(y-1)^2=4^2$ and $(x+1)^2+(y-1)^2=16$

7 0

3 years ago

how many liters is 70% alcohol solution must be added to 50 L of 40% alcohol solution to produce a 50% alcohol solution

Anettt [7]

Answer:

50%

Step-by-step explanation:

This question is solved by C1V1 + C2V2 ÷ V1 + V2 = final concentration

Let x = volume of 70% solution

let's express the concentrations as decimals, so 70% = 0.7, 50% = 0.5, and 40% = 0.4

then 0.7X + 50L.4 ÷ X + 50L = 0.5

this equation becomes 0.5(X + 50) = 0.7X + 20

which yields 0.5X + 25 = 0.7X +20

combining, we get 5 = 0.2X, and 25 = X

when we mix the two volumes, we get 50L x 40% + 25L x 70%,

which yields 20L of 100% alcohol, and 17.5L of 100% alcohol, for a total of 37.5L of alcohol in 75L of solution

which is a final concentration of 50%

3 0

3 years ago

Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save

Mrrafil [7]

Answer:

0.857 weeks

Step-by-step explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides

30 = 35x ... divide both sides by 35

$\frac{30}{35}$ or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***

5 0

3 years ago