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Sedbober [7]
4 years ago
13

1. Write an equation to solve the following. Show all your work, including the steps for solving the equation and checking your

answer. –4 times a number plus 16 is –116. Find the number.
Please explain and list out your answers. Will give brainiest to the right person.
Mathematics
1 answer:
tankabanditka [31]4 years ago
4 0
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

To begin with, let's translate the word problem into a mathematic equation as displayed below:

Let x = unknown number

- 4x + 16 = - 116

We will begin by taking 16 to the right-hand side and simplifying.

- 4x + 16 = - 116

- 4x = - 116 - 16

- 4x = - 132

From here, we will make ( x ) the subject by taking the - 4 to the right-hand side and dividing the - 132 by the - 4.

- 4x = - 132

x = - 132 / - 4

Now, we simplify again to achieve the final answer.

x = - 132 / - 4

x = 33

ANSWER:

Therefore, the unknown number is 33.
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You want to put $8,000 in a simple interest account. It has a 2% annual interest rate. How long must you invest that money to ea
Nutka1998 [239]

Answer:

2.5 years

Step-by-step explanation:

Interest= P×R×T÷100

T= 100I÷P×R

T= 100×400÷8000×2

T= 40000÷16000

T= 5÷2

T= 2.5 years

5 0
4 years ago
The Oregon trail is 2.197 miles long. How long would it take a covered wagon travelling 20 miles a day to complete the trip? Wri
Bess [88]

Answer: It needs 2.4 hours to complete the trip.

Step-by-step explanation:

Since we have given that

Length of Oregon trail = 2.197 miles

Speed at which it travel = 20 miles per day

we need to find the time taken by it ,

As we know that

Time=\frac{Distance}{Speed}

Time=\frac{2.197}{20}\\\\Time=0.10\text{ days}

So,

it will be changed into hours

1\text{ day}=24\text{ hours}\\\\0.1\text{ day}=24\times 0.1=2.4\text{ hours}

so, it needs 2.4 hours to complete the trip.


3 0
4 years ago
What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
4 years ago
Brooke had 70 chairs but he had less than20 rows how many chair he can put on each row
RideAnS [48]
Put in a equality

20 > (70/x)

then you solve 

20x > 70

x>70/20

x> 3.5    you can not put part of a chair in a row so you round up

****You can put  4 or more chairs in a row****



4 0
3 years ago
Read 2 more answers
Determine and state the coordinates of the center and length of the radius of a circle whose equation is
padilas [110]
First, rewrite the equation in standard form.
The center-radius form of the circle equation<span> is in the format:
(x – h)^</span>2<span> + (y – k)^</span>2<span> = r^</span>2
<span>with the center being at the </span>point<span> (h, k) and the radius being "r".
</span>
(x-3)^2 + (y+4)^2 = 81

From here, you can determine the center and radius. The center is at (3,-4) and the radius is 9.

4 0
3 years ago
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