Solve the following equations and check your solution using substitution.

6 - 5x = 16

4 - 9x = -7

(BTW pls show your working out)

Answers

Answer 1

Answer: 1. [tex]x=-2[/tex]; 2. [tex]x=\frac{11}{9}[/tex]

Step-by-step explanation :

1.

[tex]6-5x=16\\6-5x-6=16-6\\-5x=10\\\frac{-5x}{-5}=\frac{10}{-5}\\x=-2[/tex]

2.

[tex]4-9x=-7\\4-9x-4=-7-4\\-9x=-11\\\frac{-9x}{-9}=\frac{-11}{-9}\\x=\frac{11}{9}[/tex]

Answer 2

Answer:

Q1)   x =2         Q2)     x = 11/9

Step-by-step explanation:

Q1)   6 - 5x = 16                  check : -5(2) = -10

-6         -6                     6 -- 10 =  6+ 10 = 16

-5x = 10                         Q2)   4 - 9x = -7

-x = -2                                    -4           -4  

x = 2                                      -9x = - 11

--------------                               -x = -11 /9    ----->  x = 11/9


Related Questions

help me w this question please

Answers

Answer:

2560000 or 2.56*10^6

Step-by-step explanation:

[tex]\frac{((-4)^6)^2*(-5^2)^3}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{(-4)^1^2*(-5^6)}{(-4)^6*(-5)^2}[/tex]

[tex]\frac{16777216*15625}{4096*25}[/tex]

[tex]\frac{262144000000}{102400}[/tex]

[tex]2560000[/tex]

The greenhouse pictured below can be modeled as a rectangular prism with a half-cylinder on top. The rectangular prism is 20 feet wide, 12 feet high, and 45 feet long. The half-cylinder has a diameter of 20 feet.


To the nearest cubic foot, what is the volume of the greenhouse?

Answers

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 20 * 12 * 45 = 10800 ft³

The volume of the half cylinder = (1/2) * π * (diameter/2)² * height = 0.5 * π * (20/2)² * 45 = 7069 ft³

Volume of the greenhouse = 10800 ft³ + 7069 ft³ = 17869 ft³

The volume of the greenhouse made from a rectangular prism with a half-cylinder on top is 17869 ft³

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2.1
For her science project Manuerted into degrees Newton by multiplying the number of
is exploring different temperature scales. She has found
degrees Celsius by Suppose she constructed a graph, with degrees Celsius along the
that degrees Celsius can
horizontal axis and degrees Newton along the vertical axis. If she plotted some points
and drew a line through them, which of these statements would be true about the line?

Answers

Answer:

123 this is a good idea to make sure you have the best time ever.

help me please‼️‼️ har har har har har

Answers

Answer: -63.5 feet per mintue

Step-by-step explanation:

      We can look at what the problem is asking for, and solve. It says average change in altitude per minute:

[tex]\frac{altitude}{minute}[/tex] = [tex]\frac{1,524}{24}[/tex] = 63.5 feet per mintue

      Since she is hiking down the mountainside, this will be negative. We arrive at our final answer of:

      -63.5 feet per mintue

Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6. 71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924. 84 c. $23,735. 88 b. $25,789. 32 d. $21,445. 50.

Answers

Answer:

Correct answer: a.

Computation:

{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;

Step-by-step explanation:

Financing:

Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A

The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Big Ed’s car dealership is running a special on 2008 trucks.

Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.

You are interested in a Car Crusher truck that costs $25,230.

Not including the down payment, the amount that you pay over the lifetime of the loan will be

⇒ (1 - 0.15) × $25,230

⇒ 0.85 × $25,230

⇒ $21,445.5

More about the percentage link is given below.

https://brainly.com/question/8011401

Find the missing side of a right triangle if side a=7 and side b=11.

Answers

Step-by-step explanation:

c² = a² + b²

c² = 7² + 11²

c² = 49 + 121

c² = 170

now u have to square root it

c² = 170

c = 13

Need some help with this. It says to find x.

Answers

Answer:

x= 5

Step-by-step explanation:

Since RQ= PQ,

3x= 15

Divide both sides by 3:

x= 15 ÷3

[tex]\textcolor{red}{x = 5}[/tex]

[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]

Let SP= x

RS= SP= x (given)

Let SQ= y

Applying Pythagoras' Theorem,

In triangle QRS

(RQ)²= (RS)² +(SQ)²

(RQ)²= x² +y²

[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

In triangle QPS

(PQ)²= (SP)² +(SQ)²

(PQ)²= x² +y²

[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

Thus, RQ= PQ.

Answer:

Step-by-step explanation:

3x = 15

3x/3 = 15/3

x = 5

3(5) = 15

Grade 9 maths!!! Due tonight

Answers

Answer:

a. 7 by 21

b. a(-12, 2), b(-12, -5), c(9, -5)

Step-by-step explanation:

AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.

Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21.  Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).

Please help me with this question , we are now just learning it .

Answers

Answer:

angle 3 and angle 4 are adjacent angle

Angles 3 and 4 are adjacent angles

25= 5(3X-4)^1/3
PLEASE HELP AND SHOW WORK!
THANKS SM

Answers

Answer:

[tex]x=43[/tex]

Step-by-step explanation:

Given equation:

[tex]25=5(3x-4)^{\frac13}[/tex]

Divide both sides by 5:

[tex]\implies 5=(3x-4)^{\frac13}[/tex]

Cube both sides:

[tex]\implies 5^3=((3x-4)^{\frac13})^3[/tex]

[tex]\implies 125=(3x-4)^{\frac33}[/tex]

[tex]\implies 125=(3x-4)^1[/tex]

[tex]\implies 125=3x-4[/tex]

Add 4 to both sides:

[tex]\implies 129=3x[/tex]

Divide both sides by 3:

[tex]\implies x=43[/tex]

Answer:

x = 43

Step-by-step explanation:

25 = 5∛(3x - 4)On cubing the entire expression :15625 = 125(3x - 4)3x - 4 = 1253x = 129x = 43

At a clover city council meeting, a plan to fund more sign language programs was presented. the reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. if this is true, the council will agree to fund more programs for these parents. the council decides to take a 175-person volunteer sample of parents in clover city that have children with auditory issues and conduct a significance test for h0: p = 0.25 and ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. they will perform the significance test at a significance level of ? = 0.05 for the hypotheses.

part a: describe a type ii error that could occur. what impact could this error have on the situation?

part b: out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. what can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses?

part c: what possible defect in the study can you find in part b? explain

Answers

The type II error is the probability of accepting the null hypothesis when it's false.

How to explain the probability?

a. From the information, the proportion of parents who passes the sign language test is not less than 25%.

b. Since the p value is greater than 0.05, the null hypothesis is rejected. Therefore, the proportion of parents who passes the sign language test is not less than 25%.

c. The possible defect in the study is that the parents if the children with hearing problem should be selected randomly.

Learn more about probability on:

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BIG IDLAS MATH
#19 i
Evaluate the expression. Write your answer in scientific notation.
(6 x 10-3) + 0.23 – (5 x 10-2) =

Answers

Answer:

Step-by-step explanation:

9.23

Cynthia, a resident of Ottawa, earns $41,875 annually. If the Canadian government levies an income tax of 18. 6% on Cynthia’s tax bracket, what is her annual take-home pay? a. $39,623. 66 b. $34,086. 25 c. $27,016. 13 d. $22,513. 44.

Answers

Answer:

B. $34,086

Step-by-step explanation:

did the math

The total amount of annual take-home pay of Cynthia is $34,086.25

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Cynthia earns $41,875 annually.

If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.

It can be calculated as

41,875 × 18.6%

41,875 × 18.6/100 = 7,788.75

The annual take-home pay

41,875 - 7,788.75 = $34,086.25

Thus, The total amount of annual take-home pay is $34,086.25.

Learn more about income tax;

https://brainly.com/question/27153555

Which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63 = x 16 squared 63 = x (16 63) squared = x squared 16 squared 63 squared = x squared

Answers

The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The dimensions of the triangle are 16, 63, and x.

Where x is the hypotenuse.

By the Pythagoras theorem, we have

x² = 16² + 63²

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

D. 16 squared + 63 squared = x ^2 is the answer.

Step-by-step explanation:

Can someone help me with this. Please I beg you.

Answers

Answer:

180 cm

Step-by-step explanation:

Simplify:
Q1) 4k – 8p + 4k - 5p

Answers

Answer:

- 13p + 8k

Step-by-step explanation:

[tex]4k-8p+4k-5p[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-8p-5p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-8p-5p=-13p[/tex]

[tex]=-13p+4k+4k[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:4k+4k=8k[/tex]

[tex]=-13p+8k[/tex]

[RevyBreeze]

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! An inheritance of 2 Million was given to a young professional by his parents. He invested the entire amount in real estate, mutual funds, government bonds, and crytocurrencies.

Answers

Answer:

a) 17.5%

b) $150,000

c) 27°

Step-by-step explanation:

Angles around a point add up to 360°.

Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%

Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.

a)  Government Bonds = (63° ÷ 360°) x 100% = 17.5%

b) Crypto Currency = 90° - 63° = 27°

Therefore, (27° ÷ 360°) x 100% = 7.5%

7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000

c) Crypto Currency = 90° - 63° = 27°

#a

Find percentage (whole is 360°)

63/360×1000.175(100)17.5%

#2

Angle of crypto=180-(90+63)=180-153=27°

Percentage:-

27/360×1000.075(100)7.5%

Total

2M(0.075)0.15M150K

#c

Found in second part

hello, can someone answer this question, please show work

Answers

Answer:

It's 10(10+3)

Step-by-step explanation:

10x10 is 100 and 3x10 is 30 which gives you 100+30

Answer:

a) 10(10 + 3)

Step-by-step explanation:

Which expresison is equivalent to 100 + 30 (130)?

a) 10(10 + 3)

10(10) + 10(3)

100 + 30 <== equivalent

130

b) 10(10 + 2)

10(10) + 10(2)

100 + 20 <== NOT equivalent

120

c) 5(20 + 25)

5(20) + 5(25)

100 + 125 <== NOT equivalent

225

d) 10(10 + 4)

10(10) + 10(4)

100 + 40 <== NOT equivalent

140

Therefore, the correct answer is 10(10 + 3)

Hope this helps!

The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer​

Answers

Answer:

126 is a term in the sequence.  Please check my assumption on the correct formula.

Step-by-step explanation:

I will assume that n2 + 5 is actually n^2 + 5.

Starting with n=0, use the formula to calculate successive values of n.  The attached table is the result of n from 0 to 22.  At n=11, the result is 126, so 126 is a term in the sequence.

If the expression is actually n2 + 5, calculate the values for y = 2n + 5.  126 would not be a term in this sequence.

what is the word for:

The solid, liquid, or gas through which sound travels:

Answers

Answer:

I believe your answer would be Soundis

Answer:

A material through which sound waves can travel is called a medium.

What mistake did she make? ill give brainliest

Answers

Answer

C you cannot divide matricies like that

Step-by-step explanation:

you can only multiply by the inverse in which the order matters. if there is a 4th possible answer then that may be more correct

can someone please help!!
I need the answer and explanation. Pls don’t waste my points

Answers

I’m not sure if my answer is correct but I’ll try
I think it’s


Answer:

13.333


Explanation:

4 x 100 400
—. ——. =. ——- =13.33
30. 1. 30


Note :
Total is =30 marbles
Green marbles =4

Answer:

13 [tex]\frac{1}{3}[/tex]% are green

Step-by-step explanation:

totalling the marbles

red = 6

blue = 7

green = 4

orange = 13

total marbles = 6 + 7 + 4 + 13 = 30

fraction of green marbles = [tex]\frac{4}{30}[/tex] = [tex]\frac{2}{15}[/tex]

To change a fraction to a percentage multiply the fraction by 100%

[tex]\frac{2}{15}[/tex] × 100% = 0.1333.. × 100% = 13.33 % = 13 [tex]\frac{1}{3}[/tex]%

PLS HELP ME PLS I WILL MARK THE BRAINLIEST

Answers

Step-by-step explanation:

the area of a full circle (360°) is

pi×r²

r = 15 ft in our case

the area of a segment of a circle is the corresponding fraction of the whole circle area.

the angle of the shaded area is

360 - 332 = 28°

therefore, the area of the shaded area is

pi×15²×28/360 = pi×225×28/360 = pi×225×7/90 =

= pi×5×7/2 = 54.97787144... ft²

≈ 54.98 ft²

the area of the "ice rink" is the sum of a rectangle and a circle (which is split into 2 halves that are attached to both sides of the rectangle).

the radius of the circle is 7/2 = 3.5 meters.

the length of the rectangle in the middle is

18 - 2×3.5 = 18 - 7 = 11 meters.

so, the area of the rectangle is 11×7 = 77 m²

the area of the circle is

pi×r² = pi×3.5² = pi×12.25 = 38.48451001... m²

that means the total area is

77 + 38.48451001... = 115.48451... m² ≈ 115.48 m²

investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after 45 years?

Answers

Answer:

$64,000

Step-by-step explanation:

Friday, 45 / 9 = 5

So the investment will double 5 times

First time

2,000 (starting investment) × 2 = 4000

Second time

4000 × 2 = 8000

Third time

8000 × 2 = 16000

Fourth time

16000 × 2 = 32000

Fifth and final time

32000 × 2 = 64000

$64,000

Tiesha made 36 cookies. There are 6 dark chocolate chips in each cookie. Some of the cookies, c, also have 4 white chocolate chips in them each. In all, the cookies have 232 chocolate chips in them. Which equation represents this situation?
A.
(36 × 6) + (c × 4) = 232
B.
(36 × 4) + c = 232
C.
c × 36 = 232

Answers

Answer:

Your answer would be:
A.) (36 × 6) + (c × 4) = 232

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

what iis the square root of 158

Answers

Answer:

The answer is 12.56, which can be rounded to 12.7 or 13. :)

158 is not a perfect square
About 12.5698051

Addison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, spins a spinner with 5 equal-sized sections labeled Monday, Tuesday, Wednesday, Thursday, Friday, and rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4?

Answers

Total outcomes:

So the final answer is "60"

Find the length of x in the 45 degree, -45 degree, -90 degree triangle. Show work

Answers

Answer:

Option A

Step-by-step explanation:

Given:

Angle=45°Base= 9hypotenuse = x

[tex] \sf \therefore \: cos \: 45 \degree = \frac{base}{hypotenuse} = \frac{9}{x} [/tex]

[tex] \sf \cos(45 \degree) = \frac{1}{ \sqrt{2} } [/tex]

[tex] \sf \frac{1}{ \sqrt{2} } = \frac{9}{x} [/tex]

[tex] \therefore \: \rm \: x = 9 \sqrt{2} [/tex]

(I WILL GIVE BRAINILEST AND 35 POINTS!)Calculate the Volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube

Answers

Answer: the answer is “B”

Step-by-step explanation: answer is LETTER B

Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.

Answers

Answer:

  3 km/h

Step-by-step explanation:

You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.

Time

The relation between time, speed, and distance is ...

  time = distance / speed

If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...

  36/(15 -c) = 36/c -9

Solution

Multiplying by c(15-c), we have ...

  36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)

  36c = 540 -36c -135c +9c² . . . . . eliminate parentheses

  9c² -207c +540 = 0 . . . . . . . collect terms

  c² -23c +60 = 0 . . . . . . . . divide by 9

  (c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3

The speed of the current is 3 km/h.

__

Additional comment

The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.

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