Help! What is the solution to the system shown below?

The given equation is:

[tex]\displaystyle 7x-5=8(x+3)[/tex]

The first step you need to do is open the parentheses and distribute the 8 to x+3. It will be 8 times x and 3 times x.

[tex]8(x+3)=8 \times x+ 8 \times 3\\\\8 \times x=8x\\8 \times 3=24[/tex]

[tex]8(x+3) \rightarrow 8x+24[/tex]

Rewrite the equation:

[tex]7x-5=8x+24[/tex]

Now you need to move one of the variables to the other side.

If you move 7x to the other side, then:

You can move the variable by doing the opposite of it. Since 7x is positive, you can move it by subtracting 7x, which is negative. Subtract 7x on both sides:

[tex]7x-5-7x=8x+24-7x\\-5=x+24[/tex]

Now you need to leave x alone. x is being added to 24, so remove it by subtracting both sides by 24. Remember that when you're subtracting from a negative number, you're actually adding while keeping the negative sign.

[tex]-5-24=x+24-24[/tex]

Subtract:

[tex]\bf-29=x[/tex]

If you move 8x to the other side, then:

8x is positive, so you can move it by subtracting 8x, which is negative. Subtract 8x on both sides:

[tex]7x-5-8x=8x+24-8x\\-x-5=24[/tex]

You need to leave the variable alone, so move -5 to the other side. You can do this by adding 5 to both sides.

[tex]-x-5+5=24+5\\-x=29[/tex]

Lastly, x is negative, but you're looking for the value of positive x. Divide both sides by -1 to remove the negative sign.

[tex]\displaystyle \frac{-x}{-1} =\frac{29}{-1}[/tex]

Remember that a positive number divided by a negative number is negative. Divide:

[tex]\bf x=-29[/tex]

The answer to your question is x = -29.

Step-by-step explanation:

Solve for x

[tex]\\ \tt{:}\leadsto 7x-5=8(x+3)[/tex]

[tex]\\ \tt{:}\leadsto 7x-5=8(x+3)[/tex]

[tex]\\ \tt{:}\leadsto 7x-5=8x+24[/tex]

[tex]\\ \tt{:}\leadsto 7x-8x=24+5[/tex]

[tex]\\ \tt{:}\leadsto -x=29[/tex]

[tex]\\ \tt{:}\leadsto x=29[/tex]

Answer:

The probability of throwing any given total is the number of ways to throw that total divided by the total number of combinations (36)

Answer:

The factors are 2,3,4,5,8,10

Step-by-step explanation:

Here, we want to list out the factors that can divide 33, 424 and 380

The factors include;

2, 3 , 4 , 5, 8, 10

Kindly note that each of these factors can divide at least one of the listed numbers

Answer:

Step-by-step explanation:

14

Answer: the answer is just 2

Answer:

The quadratic formula helps you solve quadratic equations, and is probably one of the top five formulas in math. Then the formula will help you find the roots of a quadratic equation, i.e. the values of x where this equation is solved.

Answer: x = -1

Step-by-step explanation: Insert all the numbers into x, and when you insert -1 to x, you get 40.

Answer:

x = - 1

Step-by-step explanation:

Given

- 4(3x - 7) = 40 ( divide both sides by - 4 )

3x - 7 = - 10 ( add 7 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

Answer:

y = 9x cents

y = (36 + 3x) cents

Step-by-step explanation:

Given that:

Newtown telephone company :

Fee per minute = 9c

Tyrus company :

Fee per minute = 3c

Connection fee = 36c

Cost equation :

y = total cost for each phone call:

x = minutes phone call last ;

Newton Company :

y = (fee per minute * minute phone call last)

y = 9 * x

y = 9x cents

Tyrus Company:

y = (connection fee + (fee per minute * minute phone call last))

y = (36 + (3 * x))

y = (36 + 3x) cents

Answer:

C=84, D=80,b=99 and a=81

Step-by-step explanation:

In a quadrilateral, it's opposite measurements has to be equal to 180 degrees. So, for example if one side is 100 then the opposite side has to be equal to 80 so that if you add them there sum would be 180 degree.

Sorry, but I am not sure about a but you can try 81 degrees if you want. Hope this helps you!

Answer:

Divided into five equal parts

Answer:

Join Zoom Meeting  

Meeting ID: 385 546 8984

Passcode: icecream4

Step-by-step explanation:

Answer:

B: 8,9,10

Step-by-step explanation:

Answer:

it means left 4 and up 5

Step-by-step explanation:

I took the test

Hi there! :)

[tex]\large\boxed{y = 2x + 6}[/tex]

A line that is parallel to y = 2x + 3 must have the same slope of 2. Therefore:

We can use the given point as well as the slope-intercept formula y = mx + b to solve.

Plug in the x-coordinate for "x" and y-coordinate of the point into "y":

2 = 2(-2) + b

2 = -4 + b

6 = b

Rewrite the equation:

y = 2x + 6

Answer:

a=1

b=81

c=9

Step-by-step explanation:

here you go, have a great day!

Answer:

She has 30 ripe bananas.

A) 8

B) 20

C) 20

D) 55

E) 10

F) 36

Answer:

no

Step-by-step explanation:

Pi is irrational

Answer:

No it is a irrational number

Step-by-step explanation:

-4pi is not a whole number, integer number, or a rational number. It is only a irrational number.

Answer:

Length = 22 ft

Width = 6 ft

Step-by-step explanation:

Let the width of the tarpaulin be x meters.

Therefore, length = 3x + 3

Area of tarpaulin = 126 ft²

[tex]x(3x + 3) = 126 \\ \\ 3x(x + 1) = 126 \\ \\ {x}^{2} + x = \frac{126}{3} \\ \\ {x}^{2} + x = 42 \\ \\ {x}^{2} + x - 42 = 0 \\ \\ {x}^{2} + 7x - 6x - 42 = 0 \\ \\ x(x + 7) - 6( {x + 7)} = 0 \\ \\ (x + 7)(x - 6) = 0 \\ \\ x + 7 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 7 \: \: or \: \: x = 6 \\ \\ \because \: x \: is \: side \: length \\ \therefore \: it \: can \: not \: be \: negative \\ \implies \: x \notin - 7 \\ \\ \implies \: x = 6 \\ \\ 3x + 3 = 3 \times 6 + 3 \\ \\ 3x + 3 = 18 + 3 \\ \\ 3x + 3 = 21 \\ \\ length \: of \:the \: tarpaulin \: = 21 \: ft \\ \\ width \: of \: the\: tarpaulin \: = 6 \: ft \\ [/tex]

Answer: x=42

Step-by-step explanation:2x+2x+12=4x+12=180 so 180-12=4x

Answer:

13(b - 1)

I hope it is. tell me if I'm wrong

Answer:

What is the question

Step-by-step explanation:

Upload a picture

Answer: 0,16,32,48,64

Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16

The discrete graph for the function rule is plotted and the coach will buy 8 basketballs for $128.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the amount which a basketball coach spends at a sporting goods store and it depends on the number of basketballs the coach buys. The situation is represented by the function rule a = 16b.

The given equation is -

a = 16b

where -

[a] represents the amount spend by the basketball coach.

[b] represents the number of basketballs buyed.

The table is given as follows -

[b]                 [a]

0                    0

1                    16

2                   32

3                   48

4                   64

The graph of the representing the function rule - a = 16b is attached with the answer. The graph is discrete as number of basketballs cannot exist in fractions. This means the possible values of [b] will be whole numbers only.

PART - B

If coach spent $128, then the number of footballs bought will be -

b = 128/16

b = 8

Number of footballs bought were 8.

Therefore, the discrete graph for the function rule is plotted and the coach will buy 8 basketballs for $128.

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Answer:

-24b

Step-by-step explanation:

I think (Please give me Brainliest!)

Answer:

u=10 the fraction simplified once you plug in u would be 4

Answer:

7

Step-by-step explanation:

Answer:

it would be positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

A positive plus a negative equals a negative:

4 + (-3) = 1

A positive plus a positive equals a positive:

4 + 4 = 8

A negative plus a negative equals a negative:

(-2 )+ (-2) = -4

If two number have the same absolute value, they will equal zero:

-3 + 3 = 0

- 2 + 2 = 0

Answer:

Step-by-step explanation:

Use the formula I=prt. (Interest = principle x rate x time)

So, I = 10700 x 0.07 (7% as a decimal) x 6

So, I = 749(6)

I = 4494

Now, divide 4494 by 6(12)

4494/71

This = 63.3 dollars.

Therefore, she is paying 63 dollars per month.

Tracy's monthly payments is $62.41.

The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.

Amount (A) = Principal (P) + Interest (I)

and, Simple Interest = PRT/100

Given:

P= 10700

Time= 6 year

Interest = 7%

Now, using simple interest

SI = P x R x T/100

SI = (10700 x 0.07 x 6)

SI = $4494

So, Tracy's yearly payments

= 4494/6

= 749

and, Tracy's monthly payments

= 749 / 12

= 62.41

Hence, Tracy's monthly payments is $62.41.

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Answer

3 x 80=240

240 / 4=$60 effective unit rate for each tire.

Step-by-step explanation:

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Answer:

whatever x is, add one and that is y.

-x? add 21 and that is also y.

do not change x, and plot the point.