Solving a One-Variable Linear Equation

Solving A One-Variable Linear Equation

Answers

Answer 1

Answer:

[tex]\Longrightarrow:\boxed{\sf{h=14}}[/tex]

Step-by-step explanation:

Isolate the term of h from one side of the equation.

Use the distributive property.

Distributive property:

→ A(B+C)=AB+AC

7h-5(3h-8)=-72

First, multiply expand.

⇒ -5(3h-8)

⇒ -5*3h=-15h

⇒ -5*8=40

Rewrite the problem.

→ -15h+40

⇒ 7h-15h+40=-72

⇒ 7h-15h=-8h

→ -8h+40=-72

Subtract by 40 from both sides.

⇒ -8h+40-40=-72-40

Solve.

⇒ -72-40=-112

⇒ -8h=-112

Then, you divide by -8 from both sides.

⇒ -8h/-8=-112/-8

Solve.

Divide the numbers from left to right.

→ -112/-8=14

[tex]\Longrightarrow: \boxed{\sf{h=14}}[/tex]

Therefore, the correct answer is h=14.

I hope this helps! Let me know if you have any questions.


Related Questions

Hi there please help me on this

Answers

Answer:

[tex]\tan(X)=\dfrac{77}{36}[/tex]

Step-by-step explanation:

First we need to find the length of side WX.

To do this, use Pythagoras' Theorem:  [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

[tex]\implies WX^2+77^2=85^2[/tex]

[tex]\implies WX^2=85^2-77^2[/tex]

[tex]\implies WX=\sqrt{85^2-77^2}[/tex]

[tex]\implies WX=36[/tex]

Now use the Tan trig ratio:

[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]

where:

[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

From inspection of the triangle,

[tex]x[/tex] = ∠XO = 77A = WX = 36

Substituting these values into the tan trig formula:

[tex]\implies \tan(X)=\dfrac{77}{36}[/tex]

Therefore, the tangent of ∠X is [tex]\dfrac{77}{36}[/tex]

Answer:

77 / 36

Step-by-step explanation:

Finding the adjacent side

WX² = VX² - VW² [Pythagorean Theorem]WX² = (85)² - (77)²WX² = 7225 - 2929WX = √1296WX = 36

Tangent of ∠X

Opposite side / Adjacent sideWX / VW77 / 36

The given expression represents the area. Find the side length of the square. 49x + 70x + 25​

Answers

Answer:

(7x+5) is the length of the square

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + B^2

Substituite values in and you will find this

Pencils are sold in boxes of 12. Mrs. Sheridon wants to give 2 pencils to each of her 24 students. How many boxes of pencils will she need to buy? ​

Answers

Answer:

4

Step-by-step explanation:

12*2=24 would be one for each so multiply 2*2

The answer is 2. 12 times 2 = 24

which is equivalent to 4^3/4^6 ?
A) 1/ 4^2
B) 4^-3
C) 1/64
D)1/4^3

Answers

Answer:

C:

1/64

Step-by-step explanation:

Please answer urgent!

Answers

Answers: A, B, E

Reason:

Triangles A, B and E all have the angles 68 and 79 with a 3 unit side sandwiched between them. We can use the angle side angle (ASA) congruence theorem to prove those three triangles are identical copies of each other. They are rotated, reflected and shifted versions of one another. These tranformations are known as rigid transformations or isometries.

On the other hand, we can rule out choice C because the side between the angles is not 3 units long (even though the angles do match up). The same goes for choice D.

⭐ Question 3
I have 6 red markers, 3 blue markers, and 1 yellow marker.
What is my probability of pulling a yellow marker with my eyes closed?
Please provide a valid number and reasoning.

Answers

Answer:

1/10

Step-by-step explanation:

Because there are 10 markers and only one is yellow. so you have a one in ten chance to pull a yellow marker.

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Answer:

1/10

Step-by-step explanation:

because there is 10 markers total and 1 of them is yellow

Find the length of segment AB where A is (-2,3) and B is (4,-5)

Answers

Answer:

10

Step-by-step explanation:

here it is

the explanation is in the photo

John types 90 words in 2 minutes. Enter the number of words John types in 4 minutes at this rate

Answers

Answer:

360

Step-by-step explanation:

9x4=36 add the zero you didn't use

Simplify: 3[(7 - 5) 2 + (20 - 19) 2] + 14

Answers

Answer:

32

Step-by-step explanation:

We first solve everything in the parenthesis. So: (7 -5) = 2 and (20 - 19) = 1. Now we change the equation:

3[(2)2 +(1)2] + 14

Then we multiply inside the brackets: 2 x 2 = 4 and 1 x 2 = 2. So the equation now looks like this:

3[ 4 + 2] + 14

Now we add:

3{6} + 14:

We multiply:

18 + 14

Finaly we add again:

18 + 14 = 32

Help help help help math

Answers

Multiple both values inside parathyroid by the value outside.

6x+18

which expression entered into a graphing calculator will return the probability that a data value in a normal distribution is between a z score of -1.99 and a z score of 0.18

Answers

The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)

How to determine the expression?

To calculate the probability between two z-scores is to calculate the area between the z-scores.

This is done using the following syntax:

normalcdf(lower bound, upper bound)

From the question, the lower and the upper z-scores are -0.18 and 1.99

So, the formula would be normalcdf(-0.18, 1.99)

Hence, the expression is (d)

Read more about normal distribution at:

https://brainly.com/question/25991460

WHAT IS THE NTH TERM FOR 6 10 14 18 22 26 30

Answers

First term, a = 6

Common difference, d = 4

Using the formula :

an = a + (n - 1) d

an = 6 + (n - 1) 4

an = 6 + 4n - 4

an = 2 + 4n

nth term = 2+4n

could someone help me a little with this?
polynomial factoring related

Answers

Answer:

[tex]2x(x+3)(x + 4)[/tex]

Step-by-step explanation:

To factor [tex]2x^3+14x^2+24x[/tex]

First, factor out the common term [tex]2x[/tex]:

[tex]\implies 2x(x^2+7x+12)[/tex]

Now factor the expression in the parantheses:  [tex]x^2+7x+12[/tex]

Find two numbers that multiply to 12 and sum to 7:  3 and 4

Rewrite [tex]7x[/tex] as the sum of these 2 numbers:

[tex]\implies x^2+3x + 4x+12[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x+3) + 4(x+3)[/tex]

Factor out the common term [tex](x+3)[/tex]:

[tex]\implies (x+3)(x + 4)[/tex]

Therefore, the final factorization of the polynomial is:

[tex]\implies 2x (x+3)(x + 4)[/tex]

Let's factor up

2x³+14x2+24x2x(x²+7x+12)2x(x²+4x+3x+12)2x(x+4)(x+3)

So

Length=2xBreadth=x+3Height=x+4

[Can be interchanged]

What is m⦟BCD? Enter your answer in the box.

Answers

Answer: 44 degrees

Step-by-step explanation:

Determine the solution to the system of equations graphed below and explain your reasoning complete sentences: glx) = -2x - 3 f(x) - kx+1l-4

Answers

Answer:

I hope it helps you

PLEASE MARK ME BRAINLIEST

Building A is 200 feet shorter than Building B. The total height of the two buildings is 1530 feet. Find the height of each building.

Answers

Answer:

B Building = 865 feet,   A Building = 665 feet.

Step-by-step explanation:

If you divide 1530 by 2 you get 765, if you add 100 to 765, and subtract 100 from 865, there is a 200 feet difference from each of the buildings.

At the grocery store Sam purchased 3 pounds of apples. If the apples were priced at 4 pounds for $7.00 how much did he pay for his apples

Answers

Answer:

$5.25

Step-by-step explanation:

here,

4pounds off apple cost $7

3 pounds of apple will cost 3×7/4= 21/4=$5.25

What is 0.4 multiplied by 3.2?

Answers

Answer:

1.28!

Step-by-step explanation:

hope this helps, let me know if you need an explination! :)

!!
8 cm
20 cm



O 503 cm
O 4,021 cm
O 1,005 cm?
O 1,407 cm?

Answers

Answer:

1,005cm²

Step-by-step explanation:

First, you need to know the area of a cylinder and also the value of pi.

Area = 2πrh

pi = π = 3.14

r = radius = 80cm

h = height of cylinder = 20

now let's substitute

[tex]2 \times 3.14 \times 80 \times 20 = 1004.9{cm}^{2} [/tex]

but to the nearest square centimetre is.

1005cm²

because the number after the point is more than 4 so we add one to the last number before the point.

Calculate the simple interest. Round to the nearest cent.
$675 is deposited into a savings account that earns 5.75% simple interest for 10 years.

Answers

Answer:

the answer is $388.125 using the formula I=PRT/100

it is up to you to find to the nearest cent

Which of the following is not equal to 64? (the numbers after the comma are exponents

6, 4
2, 6
4, 3
8, 2

Answers

Answer:

6,4 or A

Step-by-step explanation:

Its basic 2,6 is 64,  4,3 is 64, and 8,2 is 64

Brainliest?

Answer:

6,4

Step-by-step explanation:

6*6*6*6= 1296

6 to the fourth power does not equal 64.

Suppose a person is standing on the top of a building and that she has an instrument that allows her to
measure angles of depression. There are two points that are 100 feet apart and lie on a straight line that is
perpendicular to the base of the building. Now suppose that she measures the angle of depression from the
top of the building to the closest point to be 35.5º and the angle of depression from the top of the
building to the furthest point to be 29.3º. Determine the height of the building. (Round your answer to the
nearest tenth of a foot.)

Answers

Answer:

Here is you annswer can you please give brainlist

Step-by-step explanation:

Answer:

that is right

Step-by-step explanation:

yes I can do it

Find the volume of the cone. Use 3.14 for n. Round to the nearest tenth.

27cm Height
15cm diameter

Choices
A. 1,271.7 cm3
B. 4,581.2 cm3
C. 1,527.1 cm3
D. 18,324.8 cm3

Answers

Answer:

[tex]1590.6cm {}^{3} [/tex]

Step-by-step explanation:

[tex]volume \: of \: a \: cone \: v = \frac{1}{3}\pi \: r {}^{2} h \\ radius = \frac{diameter}{2} = \frac{15}{2} = 7.5 \\ v = \frac{1}{3} \times 3.42 \times (7.5) {}^{2} \times 27 \\ v = \frac{3.142 \times 7.5 \times 7.5 \times 27}{3} \\ v = \frac{4771.9125}{3} = 1590.6375 \\ v = 1590.6cm {}^{3} (approximatly) \\ please \: rate \: and \: mark \: brainliest[/tex]

Please help math experts I am struggling and can’t understand my teachers writing thank you

Answers

Here's your Question →

Setup an equation and solve the word problem Below.

____________________________________

QueThe hieght of The statue of Liberty is 93m. This is about 27% of the Hancove building in Chicago. What is approximate Hieght of Hancove Building?

Answer Let height of Hancove Building be H.

Now according to question, 27% of H = 93m

27 / 100 (H) = 93m

H = 93 x 100 ÷ 27

H = 344.44m

Therefore, the approximate Hieght of Hancove Building is around 344.4m

Answer:

344.44 m

Step-by-step explanation:

Let the missing height is h.

We have 93 m is 27% of h, need to find the value of h

27% of h is 0.27h, the equation we need is below

0.27h = 93h = 93/0.27h = 344.44

Integrate :-
[tex]:\implies \: \boxed{ \displaystyle \int \sf{ \frac{1}{sin {}^{2} \bigg(\dfrac{x - 2}{3} \bigg) } \: dx }} \: \red\bigstar[/tex]

Answers

Recall that

[tex]\dfrac{d}{dx}\left[\cot(x)\right] = -\csc^2(x)[/tex]

so that

[tex]\displaystyle \int \frac{dx}{\sin^2\left(\frac{x-2}3\right)} = \int \csc^2\left(\frac{x-2}3\right) \, dx = \boxed{-3 \cot\left(\frac{x-2}3\right) + C}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Your \ exercise \ is \to\int\limits \frac{1}{sin^2\left(\dfrac{x-2}{3}\right) }dx } \end{gathered}$}[/tex]

             [tex]\boldsymbol{Replaces \ u=\dfrac{x-2}{3} \longmapsto \dfrac{du}{dx}=\dfrac{1}{3} \longmapsto \ dx=3 \ du }[/tex]

                                               [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=\int\limits \frac{3}{Sin^2(u) }du } \end{gathered}$}[/tex]

                                                    [tex]\boldsymbol{\sf{Simplify }}[/tex]

                                              [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=3\int\limits csc^2(u)du } \end{gathered}$}[/tex]

                                                    [tex]\boldsymbol{\sf{Solving \ now }}[/tex]

                                                    [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\int\limits csc^2(u)du } \end{gathered}$}[/tex]

                                            [tex]\boldsymbol{\sf{This\:is\:a\:standard\:integral. }}[/tex]

                                                     [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-cot(u)} \end{gathered}$}[/tex]

                                       [tex]\boldsymbol{\sf{We\:replace\:the\:integrals\:already\:solved. }}[/tex]

                                                   [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=\int\limits \frac{3}{Sin^2(u) }du } \end{gathered}$}[/tex]

                                                      [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-cot(u)} \end{gathered}$}[/tex]

                                      [tex]\boldsymbol{The\:substitution\:is\:undone\: u=\dfrac{x-2}{3} ;}[/tex]

                                                      [tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-3cot\left(\frac{x-2}{3}\right) } \end{gathered}$}[/tex]

       [tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf Answer \longmapsto \bf{\int\limits \dfrac{1}{sin^2\left(\dfrac{x-2}{3}\right) }dx }=\boldsymbol{ -3cot\left(\frac{x-2}{3}\right)+C } \end{gathered}$}}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \underline{\bf{\green{I\:hope \ it \ helps \ you..... Regards }}} \end{gathered}$}[/tex]

i have attached the question below

Answers

Answer:

a. probability of 5/9
b. probability of 3/9

Step-by-step explanation:

All possible outcomes:

1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9

All outcomes with an even number:

1 x 2 = 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
3 x 2 = 6

All outcomes with a number greater than 5

2 x 3 = 6
3 x 2 = 6
3 x 3 = 9

PLEASE HELP I CANNOT FAIL!! Find the total area of the square pyramid

Answers

Answer:

800 in squared

Step-by-step explanation:

16*16+4*0.5*17*16

6 x 5/8 in simplest form

Answers

The answer would be 15/4 or 3 3/4

-4+x=10 is 13 the solution

Answers

Answer:

No.

Step-by-step explanation:

You are trying to solve for x. Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides of the equation to isolate the variable, x:

-4 + x = 10

-4 (+4) + x = 10 (+4)

x = 10 +4

x = 14

x = 14, x ≠ 13, ∴ 13 is not a solution.

~

No 13 is not the solution. Add 4 to both sides to get x by itself.
So x minus 4 plus 4 equals
X
And
10 plus 4 equals 14
So x equals 14 not 13
Mark as the best!

Each month Edward budgets $1860 for fixed expenses, $860 for living expenses, and $259 for annual expenses. His annual net income is $32,508. Which statement best describes his monthly budget?
It shows a deficit of $180
It shows a surplus of $261
It shows a deficit of $261
It is balanced
SHOW WORK PLLZ
(Will give brainiest)

Answers

Answer:

It shows a deficit of $261

Step-by-step explanation:

$32,508/12 = $2709 per month

$2709 - ($1860 + $860 + $259) = -$270

I'm assuming you put a typo somewhere, but the closest answer is the deficit of $261

Other Questions
Mike is pushing a car up a ramp. What could Mike do to reduce the effort force he needs to use to push the car? If the simple interest on $5,000 for 6 years is 1,200 then what is the interest rate? Andy and Mario were playing baseball in the summertime. Andy was wearing a black shirtand complained about it beingexcessively hot. What characteristic of how light transfers would cause this problem?A. reflectionB. refractionC. absorptionD. diffusion Find the new side lengths if the scale factor is 2/5. 35 inches 15 iches NEED ANSWER ASAP PLEASEEEE What is the slope of a line that is parallel to the line y = 3/4x + 2?-4/3-3/43/44:3 The table shows some ordered pairs that belong to project function H what is the range of HPLEASE HELP ASAP WILL MARK BRAINIST ONLY IF YOUR RIGHT THOO he table shows the heights of students in a group.Student Height (in inches)A 45B 48C 49D 40E 53What is the mean height of the students in the group? 47 inches 49 inches 51 inches 53 inches Sketch a generic rectangle to represent the product 3(x+2). Then write an equivalent expression Which congruence theorem can be used to prove WXZ YZX?O AASO ASAO SASO HL What moral dilemma does this excerpt express? brutus must decide whether to seek the crown himself. Brutus must decide whether to help caesar ascend to power. Brutus must decide whether to help in the plot to kill caesar. Brutus must decide whether to reveal the plot to caesar. what was the bush doctrine? The graph of y= (x^3) +6is translated 4 units to the right.The translated graph has equation y=f(x).Work out f(x).Give your answer in the formx^3 + ax^2 + bx + cwhere a, b and c are integers. 211,207,203,...Find the 38th term. AmigranentPractice with lines cut by a transversaWhat is the value of x?(2x - 5) A company that promotes its products as being environmental friendly but then uses excessive amounts of non-recyclable material to package its products doesn't understand how packaging serves to reinforce a company's What is the value of H in the original equation? Cos(90 -X).tan(180-X).cos(180+X)/sin(180-X) Please help guys much love Which theory includes four different ways to keep people conforming to societys norms? PLSSS HELP I'LL GIVE BRAINLYEST:'((22.- Read the following sentence and identify how the gerund is being used.Alicia's favorite activity is watching movies.A) gerund as a subject complementB) gerund as a linking verbC) gerund as a direct objectD) gerund as a subjectE) gerund as an object of a preposition