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

Need Answers for B,C,D
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town’s residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each
with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76.

(a) What is the point estimate of the population? Answer is $0.62

(b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion?

(c) The margin of error of the population proportion is found using half the range. What is the interval estimate of the true population proportion?

(d) Is the community action group’s claim likely based on either interval estimate of the true population proportion? Explain.

Answers

The probability computed shows that the point estimate of the population is 6.2%.

How to calculate the probability?

a. The point estimate of the population will be calculated thus:

= 62% = 62/100 = 0.62

b. The margin of error of the population will be:

= z value × [✓0.62 × ✓0.38 / ✓200]

= 1.96 × (0.78 × 0.61 / 14.14)

= 0.0672

Therefore, the interval estimate is 6.72%.

c. The margin of error of the population proportion is found using half the range will be:

= [0.76 - 0.46] /2

= 0.30/2

= 0.15

d.  The community action group’s claim is likely based on either interval estimate of the true population proportion since the confidence interval value is greater than 0.45.

Learn more about probability on:

https://brainly.com/question/24756209

NEED ANSWERS QUICKLY! CORRECT ANSWER GETS BRAINLIEST
When dividing fractions that are represented in the same terms, their quotient is simply the quotient of their numerators. Write an equation that demonstrates this.

Answers

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's [tex]\frac{x_1}{y}\;and\;\frac{x_2}{y}[/tex] are two fractions in same terms.

Thus, [tex]\frac{x_1}{y}\div\frac{x_2}{y}[/tex] {Divided by a fraction is equal to multiplied by its reciprocal}

=[tex]\frac{x_1}{y}\times\frac{y}{x_2}[/tex]

Quotient is simply the quotient of their numerators.

Example could be:

[tex]\frac{2}{7}\div\frac{3}{7}[/tex]

[tex]\frac{2}{7}\times\frac{7}3}[/tex]

[tex]\frac{2}{3}[/tex]

2 is first numerator and 3 is the second numerator.

~lenvy~

oml please don’t say anything that doesn’t help,
do any of you know what 1 3/4 + 1/6 + ____= 7 1/2 is and can you tell me how you got it

Answers

Answer:

first convert mixed fraction to improper fraction then solve by taking LCM

hope the above process helps

Answer:

5  7/12

Step-by-step explanation:

1/6 can be converted to 2/12
1 3/4 can be converted to 1 9/12
Add them together, you'll get 1  11/12
7  1/2 is equal to 7  6/12
7  6/12 - 1  11/12 = 5  7/12

              5 /12 is your answer

can anyone help me with this problem? Please it would be great.

Find the missing side of the triangle.

Answers

Answer:

[tex]\displaystyle 45 = x[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to define the hypotenuse:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]

I am joyous to assist you at any time.

PLEASE HELP ASAP!!!
i dont know this

Answers

Answer:

Put 4.96 in the second box then solve which the answer is 6.76

Step-by-step explanation:

X + 4.96 = 1.8

1.8 + (-4.96) = X

1.8 - 4.96 = X

-3.16 = X
Therefore, X = -3.16

if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?​

Answers

Answer:

Step-by-step explanation:

Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.

f(x) = x^2

f(x + 4) = (x + 4)^2

To show you this in graphical form, see below.

Red: f(x) = x^2

Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph

Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?

Answers

Answer:

(4,5) (4,8)(4,6)

Step-by-step explanation:

So now you're reflecting over the horizontal line that passes through the point (0,5)

:))

Step-by-step explanation:

(4,5),(4,6),(4,8)

the answer is this!

Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41

Answers

The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

The total amount to be withdrawn in a year = 15265*2 = $30530

The total amount to be withdrawn in 35 years =$1068550

What is the compound interest?

Compound interest is interest on interest along with interest on the principle.

Annual Rate of interest = 4.5%

Semi-annual rate of interest r=2.25%

Amount A= $1068550

[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]

[tex]P = $225093.358[/tex]

Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

To get more about compound interest visit:

https://brainly.com/question/24274034

Please help me this question

Answers

This is the answer. If this helps you please give brainliest.

Answer:  8

Work Shown:

[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]

The 2^x matches with 2^5, showing that x = 5.

3^y matches with 3^3 to get y = 3

Therefore, x+y = 5+3 = 8

How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many​

Answers

Hey there!

Let's solve this equation.

5x+3x-4=10

add the x's

8x-4=10

add 4 to both sides

8x=10+4

8x=14

divide both sides by 8

x=14/8

Reduce the fraction;

x=7/4 (improper fraction)

x=1+3/4 (mixed number)

Hence, the equation has 1 solution.

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Answer:

i presume it has

Step-by-step explanation:

only 1 solution.

combine like terms & then solve

Which graph matches the equation y+5 = (x + 4)?

Please hurry

Answers

Answer:

Sorry i don’t know the answer

Step-by-step explanation

I don’t know

I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need​

Answers

Answer:

you need 32 eggs

Step-by-step explanation:

48 divided by 12=4

8x4=32

Answer:

2 eggs

Step-by-step explanation:

take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.

Help me please !!!!!!!

Answers

Answer:

25ft/s

Step-by-step explanation:

500ft/20s = 25ft/s

please help i am confused.

Answers

Answer:

12.16 inches.

Step-by-step explanation:

Use pythagoras thereom since they are right angle triangles. A² = c² - b².

For NP triangle:

10² - 4² = 84. square root of 84 is 9.165.

For MN triangle:

5² - 4² = 9. square root of 9 is 3.

finally, add them up:

3 + 9.165 = 12.165, to 2 d.p., it is 12.16 inches.

Which fraction is closer to 0 than to 1 ? Choose all that apply .
A. 5/8
B. 2/6
C. 1/4
D. 4/6
E. 3/8

Answers

B, C, and E are closer to 0 than to 1.

please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5 times as many should be your answer.

5. A rectangle has an area of 16 cm². Do you know its length?

Answers

Answer:

144 [tex]cm^2[/tex]

Step-by-step explanation:

Answer:the answer were to your question is 4

Step-by-step explanation:

Put me on brainlyiest pls

What is the space between two intersecting lines called?.

Answers

Answer:

The space between two intersecting lines is called an:
Angle



An angle is formed when two lines meet at a shared point. They are measured in degrees. There are four important types of angle; acute, right, obtuse, and reflex. A full circle has 360 degrees. If you see an angle of 720 degrees, it means it has rotated twice around a full circle.

360 degrees (one time round) x 2 = 720 degrees (two times round)




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Mount Everest has a height of 8,850 meters above
sea level. A hiker at the peak descends 410 meters,
then climbs down another 370 meters. What is the
hiker's new elevation?

Answers

Answer:

8,070 meters

Step-by-step explanation:

First we add :)

410 + 370 = 780

Now we subtract :)

8,850 - 780 = 8070

Have an amazing day!!

Please rate and mark brainliest!!!

576 = 96 × 6
Which statement does the equation represent?

A. 96 is 6 more than 576
B. 576 is 96 more than 6
C. 96 is 6 times as many as 576
D. 576 is 96 times as many as 6.

Answers

Answer:

D

Step-by-step explanation

A.96=6+576

B.576=96+6

C. 96=6×576

D. 576=96×6

Dalvin's family took a road trip to Mount Rushmore. Dalvin fell asleep 44% of the way through the trip. If Dalvin fell asleep after they had traveled 176 miles, what was the total length of the trip?

Answers

Based on the given conditions, formulate:
176÷44%

Convert decimal to fraction:
176/44/100

Reduce the fraction:
176/11/25

Divide a fraction by multiplying its reciprocal:
176×25/11

Reduce the expression to the lowest term:
16×25

Calculate the product or quotient:
400

get the result:
400

Answer: 400m

Ignore this I deleted my answer cause I missread the question...

I forgot to do homework and its due tomorrow
Solve:
-2 3/4 ÷ (-2.5)

Answers

Answer:

It is 1.1

Step-by-step explanation:

-hope this helps.

Ms. Tranquille is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is
[tex]4\frac{1}{2} [/tex]
inches tall. How wide should the scale drawing be if the actual width is 48 meters?

PLEASE HELP I WILL MARK YOU BRAINIEST​

Answers

Answer:
2 inches

Steps:
Take note.
Rw = real width
Rh = real height
Dw = drawing width
Dh = drawing height

(Rw/Rh) = (Dw/Dh)

Fill in what we know.
(48/108) = (Dw/ 4 1/2)
Solve for Dw.
(48 * 4 1/2) / 108 = Dw
216 / 108 = Dw
2 = Dw

What is the measure of an angle at the centre whose radius is equal to arc length?​

Answers

Answer:

radian

Step-by-step explanation:

A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.

Hope it helps!!!Brainliest pls!!!

The measure of an angle at the center is 1 radian.

What is an angle measure?

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Radius is equal to arc length.

To find the measure of the angle at the center:

We have the formula,

Angle in radian = arc length / radius

Let a be the arc length,

then a be the radius.

Substituting the values,

Angle in radian = a/a

Angle in radian = 1 radian

Therefore, 1 is the measure of an angle at the center.

To learn more about the angle measure;

brainly.com/question/14684647

#SPJ2

Please help answer this and give explanations. 20+ Points

Answers

Answer:

7 pairs of shoes

Step-by-step explanation:

So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.

First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).

Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).

x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.

Hope this helps! :)

I need help 1 through 13 please and thank you

Answers

Answer

Let's get to it!

Step-by-step explanation:

1) There are 15 pounds of chees on that platter. (3+5+3+4=15)

2) The total weight is 32 ounces and 6 pounds.

3) 35 gallons of coffee are brewed per day. (5+5+5+5+5+5+5=35)

4) The cook peeled 50 pounds of potatoes per hour (200 divided by 4)

5) There is a total of 4/8 or 1/2 of an ounce

6) 2/8 ounces of oregano is left.

7) This recipe requires 1 and 1/2 pounds of meat.

(This is all I could do without paper) sorry, hope this helps.

Describe these points with a double inequality

Answers

Answer:

-3 < x ≤ 13

Step-by-step explanation:

the filled circle is the less/greater than or equal to sign and the open circle is a less/greater than sign.

Fill in the table using this function rule

y=5+4x

This is the FORTH time I’ve posted this question PLEASE answer IT

20 POINTSSSSS

Answers

Answer:

-6,-1,4,9,14

Step-by-step explanation:

Just replace x in the equation with parenthsis and inside of them put the x value and solve as normal. From top down the answer is -6, -1, 4, 9, 14

the gravitational potential energy of an object is given by the formula p= mfg. which equation is correctly solved for the height, h?

a. h= p + mg
b. h= p-mg
c. h= p/(mg)
d. h=pmg

Answers

Step-by-step explanation:

c. h= p/(mg)

HOPE it helps

can someone please help me

Answers

Answer:

1 - 50

5 - 90

10 - 140

50 - 540

Step-by-step explanation:

The rate of change is 10/1, while the Y-intercept is 40. The equation would be Y=10x+40

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