Adelle solved the equation, 4x/7 - 6 = -20 , as shown.
Fill in the following blanks with the correct justification for each step.

Adelle Solved The Equation, 4x/7 - 6 = -20 , As Shown.Fill In The Following Blanks With The Correct Justification

Answers

Answer 1

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

Answer 2

The value of x for the given linear equation is -24.5.

What is linear equation in one variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

We have, a linear equation in one variable

[tex]\frac{4x}{7} -6=-20[/tex]

We solve the above equation in following steps

Step I : Adding 6 both the sides

[tex]\frac{4x}{7} = -20 + 6[/tex]  

⇒[tex]\frac{4x}{7} = -14[/tex]

Step II:  Multiply 7 both the sides

⇒ [tex]4x = -14[/tex] ×[tex]7[/tex]

⇒ [tex]4x = -98[/tex]

Step III: Dividing both the sides by 4

⇒ [tex]\frac{4x}{4} = -\frac{98}{4}[/tex]

⇒ [tex]x = -24.5[/tex]

Therefore, the value of x for the given linear equation is -24.5

 

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Related Questions

can someone please help me with this, thank you (picture attached)

Answers

Answer:

I can help you with it

Step-by-step explanation:

2. Sol went to the store to buy tomatoes. They were $1.89 per pound: Last week, the
price per pound was 30% lower. What was the price of tomatoes last week?

Answers

Answer:

1.323

Step-by-step explanation:

We can find 30% of 1.89 by multiplying: 1.89 x 0.3 = 0.567

Then, we must subtract: 1.89 - 0.567 = 1.323

Find the slope of the line (-3,-2),(1,-2)

Answers

Answer:

0

Step-by-step explanation:

The y-axis is the same so the slope has to be zero, since the line is not going vetrically anytime on the graph

There are 34 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth)

Answers

Answer:

About 85.29 percent

Step-by-step explanation:

Recall that a percentage can also be represented as a proportion under 1; for example, 30 percent is .30 as a proportion of 1. So here we have 29 carpenters out of 34 that showed up, a ratio of .8529 showed up to work, and .8529 balance translates to 85.29 percent.

So 85.29 percent of the carpenters showed up to work.

Describe how modern entertainment has begun to reflect the changing makeup of families in America.

Answers

It should be noted that modern entertainment has played a vital role in shaping African culture and homes.

Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.

Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.

Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.

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The coach for a basketball team wants to buy new shoes for her 12 players.

Super Sports is offering a 20\% discount on each pair of shoes, which were originally priced $72.50. A 6.5\% sales tax will be applied to the discounted price.

The same shoes are also available on Double Dribble's web site for $54.75. A 9\% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.

What is the difference in the total costs of the 12 pairs of shoes between the two stores?
(please show ur work)

Answers

Answer:

$46.8

Step-by-step explanation:

Price for Super Sports:

$72.5*0.8=$58 (20% discount so price is 80% of original price)

$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)

$61.77*12=$741.24

Price for Double Dribble:

$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)

$59.68+$5.99=$65.67 (shipping fee)

$65.67*12=$788.04

Difference in price:

$788.04-$741.24=$46.8

If you have questions please ask in the comments; also please give this answer brainliest if you found it useful!

if f(x)=2x^2+1 and g(x)= x^2-7 find (f-g)(x)

Answers

Answer:

x² + 8

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x² + 1 - (x² - 7)

= 2x² + 1 - x² + 7 ← collect like terms

= x² + 8

What is the value of x?
70°
35°
30

Answers

Answer:

75 degrees

Step-by-step explanation:

all added up is 180 on every triangle. 70+35=105. 180-105=75

B. 75°

Because All triangles add up to 180°. Therefore, 70°+35°=105°. From there, 180°-105°=75°.

Easy peace math problem

Answers

Answer:

225/10=441/l

cross multiply

225l=10*441

225l=4410

l=4410/225

l=19.6 liters of gas

Step-by-step explanation:

l=19.6 liters of gas

If a = 3.9 cm, b = 2.5 cm, c = 4.6 cm, d = 3.5 cm, and e = 1.2 cm, what is the perimeter in centimeters of the polygon? Do NOT label your answer. Use numbers ONLY.

Answers

Answer:

perimeter= 3.9+2.5+4.6+3.5+1.2= 15.7cm

What is the percent of change from 46 to 69?

Answers

Answer:

percent of change =0.5

Step-by-step explanation:

x1=46 x2=69

(x2-x1) / x1

69-46 = 23 / 46 = 0.5

A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?

Answers

Answer:

The answer is 72%

Step-by-step explanation:

54 out of 75 is a percentage of 72%.

[tex]\frac{54}{75} = 72[/tex]

Mark me brainliest if possible, it's always appreciated!

Hope this helps!

Have a great day/night/afternoon!

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Anyone please solve and explain part b

Answers

Answer:

f(2) = -6

f inverse of 1/2 is 17/2

Step-by-step explanation:

We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]

To solve for part (a), we have to substitute x = 2 in f(x).

[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]

Therefore, f(2) is -6.

Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).

[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]

To solve for part (b), first we solve for x in the function. Let f(x) = y.

[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]

Multiply both sides by 2x-5.

[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]

Divide both sides by y-term.

[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]

Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]

Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]

Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]

____________________

Let me know if you have any questions in comment.

A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of the port. What is the bearing of the warning buoy as seen from the ship after 7.5 hours?

Answers

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

The bearing of the buoy from the is approximately 307.35°

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

[tex]\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}[/tex]

Therefore;

[tex]\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}[/tex]

Which gives;

[tex]\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}[/tex]

[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}[/tex]

Similarly, we can get;

[tex]\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}[/tex]

The angle subtended by the distance of the buoy from the port, C is therefore;

C ≈ 180° - 142.68° - 35° ≈ 2.32°

By alternate interior angles, we have;

The bearing of the warning buoy as seen from the ship is therefore;

Bearing of buoy ≈ 270° + 35° + 2.32° ≈ 307.35°

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Which one cuz they are in different order.!!!

Answers

Answer:

wot

Step-by-step explanation:

-3x + 4y = -15 and 4x - y = -19

Answers

Answer:

x=-7, y=-9. (-7, -9).

Step-by-step explanation:

-3x+4y=-15

4x-y=-19

---------------

y=4x-(-19)

y=4x+19

-3x+4(4x+19)=-15

-3x+16x+76=-15

13x=-15-76

13x=-91

x=-91/13

x=-7

4(-7)-y=-19

-28-y=-19

y=-28-(-19)

y=-28+19

y=-9

Please help! With steps included :)

Answers

Answer:

Top question: -7°

Bottom question : 18°

Step-by-step explanation:

Top question:

The base angles of am isosceles triangle are congruent:

x + 46 = 39 because the base angles of an isosceles triangle are congruent

x + 46° = 39°

x = -7°

Bottom question

The missing angle is 3x because the base angles are congruent

To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°

3x + 3x + 4x = 180°

10x = 180°

x = 18°

Sorry for the late post!

-Chetan K

What is (f+g) (x) f(x) = -3x g(x)=-2x^2+x as a polynomial or rational function in simplest form?

Answers

Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

What is the measure of the third angle of this triangle?

Please explain how to solve in a easy way

Answers

Every triangle is equal to 180 degrees so u need to subtract what is already shown form 180,, 180-120=60 and then 60-40 20 so the final degree is 20 ,,,,, to check u can add them all together if if they equal 180 u should be g

Exit These two right cylinders have the same height, 25 centimeters. The radius of the smaller cylinder is 5 centimeters and the radius of the larger cylinder is 3 times greater than that of the smaller cylinder. What is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? A. 6:1 B. 12:1 C. 9:1 D. 25:1

Answers

ANSWER:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is B. 12:1

simplify the quotient. Write the answer in sn.

Answers

Answer:

2.4*10^4

Step-by-step explanation:

write in scientific notation

first i would simplify the 3.6/1.5

=2.4

then you get (2.4*10^7)/10^3

formula: (m^x)/(m^y)= m^(x-y)

(2.4*10^7)/10^3

=2.4*10^(7-3)/1

=2.4*10^4

M<2= x+49 (geometry)

Answers

If you are solving for x then the answer should be x=-47,M<2 . If you are solving for M then the answer is most likely M<2,x=-47

If correct Brainlyest

Answers

Answer:

c is the answer

Step-by-step explanation:

simplified on left-hand side is 2<5 and it is the same as -2<5

hope this helped :)

A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.

Answers

Min. Photos
2. 8
4. 16
8. 24
…. ….

I think this is what your asking. Hope this helps!

For every two minutes you +8 to the amount of photos you have. And if you only by one minute you +4 to the amount of photos you have.

A small van holds 8 students and a large van holds 12 students. There are a total of 48 students who plan to go on the field trip.

Answers

Sorry I don’t really understand the point you are trying to make. What’s the question?

Help me please with this!…………………

Answers

Answer:

x = 2

Step-by-step explanation:

The two angles are congruent because they are alternative interior angles.

9x + 4 = 3x + 16

9x - 3x + 4 = 3x - 3x + 16

6x + 4 = 16

6x + 4 - 4 = 16 - 4

6x = 12

x = 2

The formula for determining the frequency, f, of a note on a piano is mc016-1. Jpg, where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C? 29. 3% 41. 4% 70. 7% 182. 3%.

Answers

Answ

its a just did this

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Please solve this question

Answers

Answer:

K so we want to find angle EFC

Its a much longer process

AC is a line, so its 180 degrees

ED is 32 (This also makes AB 32 degrees)

Now we need DC

Find the other side angle length

180 - 32 - 87 = 61

theta is 61+32

Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase?

Answers

Answer:

$132.74

Step-by-step explanation:

6.75% = 0.0675

Multiply 124.35 by 1.0675 because sales tax is added to original cost.

(124.35)(1.0675) = 132.74

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

What is percentage?

The percentage is the value per hundredth.

According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.

∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

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What is 6n+5=17

WHAT DOES N EQUAL TOOOOO HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE

Answers

Answer:n = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

6n+5=17

Step 1: Subtract 5 from both sides.

6n+5−5=17−5

6n=12

Step 2: Divide both sides by 6.

[tex]\frac{6n}{6} =\frac{12}{6}[/tex]

[tex]n=2\\[/tex]

I hope this help's :)

Answer:

n = 2

Step-by-step explanation:

[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]

Hope this helps! Brainliest would be really appreciated!

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