What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-3u-27+20u+ ▢

Answers

Answer 1

Answer: the number must be placed in the box is 9

suppose: the number must be placed in the box is x

have:

5u + 3(4u - 6) = -3u -27 + 20u + x

⇔ 5u + 12u - 18 = -3u - 27 + 20u +x

⇔ 17u + 3u - 20u = -27 + 18 + x

⇔ 0 = x - 9

⇔ x = 9

Step-by-step explanation:

Answer 2

Answer:

9

Step-by-step explanation:

Simplifying both sides gives 

17u - 18 = 17u - 27 + ▢.

Subtracting 17u from both sides gives

-18 = -27 + ▢. 

If the number in the box is anything but 9, then the equation cannot be true, and the original equation has no solutions. If the number in the box is 9, then the two sides of the original equation are equivalent, and all values of u are solutions to the equation.


Related Questions

GEOMETRY HELP ILL VOTE YOU BRAINLIEST YOU DONT NEED TO SOLVE IT JUST GUIDE ME SO I KNOW WHAT TO DO AND HOW TI GET THE ANSWER

Answers

Answer:

when finding the area of a triangle you need to multiple the base and hight then divide that number by 2


1. a). A recipe uses 600 mL of flour for every 150mL of sugar. How much flour would be needed
when 450 mL of sugar is used?

Answers

Answer:

it is 750 ml of flour this is the answer

Answer:

1800 ml

Step-by-step explanation:

Given

600 ml per 150 mlx ml per 450 ml

Ratio as per given

x/600 = 450/150x = 600*450/150 = 1800 ml

63x19 estimate and choose method

Answers

Answer:

1200 would be an estimate

Step-by-step explanation:

Rounding to the nearest 10's digits would be a method of estimation. For example, in this case, 63 would round down to 60 and 19 would round up to 20 for a quick estimate. 60 times 20 = 1200

Answer:

1197

Step-by-step explanation:

63 x 19 = 1197

Can you mark me brainliest

A school janitor has mopped
1
3
of a classroom in 5 minutes. At what rate is he mopping?

Answers

1/3 of the classroom is mopped in five minutes, so the whole classroom (or one classroom) is mopped in 15 minutes

Answer:

0.06 of the floor mopped per minute

Step-by-step explanation:

List three different examples of integers.

Answers

Answer:

−15, 0, 27, 1102

Step-by-step explanation:

Answer:

1, 2, 3...

Step-by-step explanation:

Integers can be whole numbers, counting numbers, etc. I hope this helps!

The elevator in a new building travels a maximum distance of 35.2 yards. Determine the estimated distance traveled in meters.

1 m = 1.1 yd

Answers

Answer:

I need help with this one toooo T~T

Step-by-step explanation:

1. Yes U,U



Combine the like terms to create an equivalent expression.
12r + 5 + 3 + 4r

Answers

16r+8 is the answer

Answer:

16r+8

Step-by-step explanation:

12r+4r+8=

16r+8

10 is what percent of 625

Answers

Answer:

1.6

Step-by-step explanation:

Answer:

1.6% hope this helps a little

Step-by-step explanation:

Find the length of arc ab. Need help!!!

Answers

Answer:

12.4cm (rounded to nearest tenth)

Step-by-step explanation:

To find the length of an arc, you have to find the circumference of the full circle itself multiplied by the angle of the arc over 360°. The circumference of a circle is pi × r × 2.

Length of arc = [tex]\frac{90}{360}[/tex] × 3.14 × 7.9 × 2

                      = 12.403

                      ≈ 12.4cm (rounded to nearest tenth)

y + 1 = -2x-3 in standard form *

Answers

Answer:

y = -2x - 4

Step-by-step explanation:

y + 1 = -2x - 3

Subtract 1 from both sides to get the y by itself

y = -2x - 3 - 1

Simplify (Combine Like terms)

y = -2x - 4

can someone pls solve these for me i’ll give brainlist

Answers

Answer

3. 14

4. 4

5. 8

Step-by-step explanation:

Answer:3) a=14      4( x=4        5) a=8

Step-by-step explanation:

3)QUESTION: 4+a=18

first you -4 from both sides to get rid of the 4 to put a on its own so now it is

a=14

ANSWER: a=14

4)QUESTION: 7x=28

you divide 7 by both sides to make 7 x to x

x=4

ANSWER: x=4

5) QUESTION:a+5=13

you minus 5 from both sides to put a on its own.

a=8

ANSWER= a=8

#CountryMusic
and ig the question is what is the scientific notation of 0.0021

Answers

Answer:

0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]

Step-by-step explanation:

We need to write 0.0021 in scientific notation.

Scientific Notation: A number expressed in scientific notation is written when numbers between 1 to 10 are multiplied by a power of 10.

In the given example 0.0021 our decimal will be shifted to the right 3 digits and the power will be negative 3 (-3)

So, 0.0021 in scientific notation is [tex]\mathbf{2.1 x 10 ^ {-3}}[/tex]

Select all of the situations which can be represented by the expression 25.75x + 10.
Carol has $25.75. She earns $10.00 for each car that she washes.
Max has $10.00. He earns $25.75 for every lawn that he mows.
Jin buys x postcards for $25.75 each and x keychains for $10.00 each.
Sasha sells a scarf for $10.00 and x jackets for $25.75 each.
Jon buys 10 toy cars for $25.75 each

Answers

Answer:

-Max has $10.00. He earns $25.75 for every lawn that he mows.

-Sasha sells a scarf for $10.00 and x jackets for $25.75 each.

Step-by-step explanation:

Lucas read a 480 page book from cover to cover in a single session, at a constant rate. After reading for 2.5 hours she had 400 pages left to read. How fast was sara reading
Answer: ____ pages per hour

Answers

Answer:

32 pages per hour

Step-by-step explanation:

 

A car travled 500 miles on 25 gallons of gas

Answers

Your question is incomplete but I'll just say how many gallons it would be for each mile.

Answer:

20

Step-by-step explanation:

500÷25=20

mark brainliest if helped :D

Grace's retirement party costs $2plus an additional $1 for each guest she invites. What is the maximum numbe of guests there can be Grace can afford to spend a total of $15 on her retirement party?

Answers

Answer:

5 people?

Step-by-step explanation:

Because if 2 dallars plus one thats 3 and she only has 15 if she wants to only spend that she onlyinvite 5 if she only has 15 bucks

Y+3=X+4 Whats is the slope of the equation

Answers

Answer:

slope = 1

Step-by-step explanation:

Write the equation in slope-intercept form: y = mx +b

y + 3 = x + 4

     y = x + 4 - 3

    y  = x + 1

Slope = 1

Given the speeds of each runner below, determine who runs the fastest. \text{Tony runs 12 feet per second.} Tony runs 12 feet per second. \text{Katie runs 450 feet in 30 seconds.} Katie runs 450 feet in 30 seconds. \text{Frank runs 1 mile in 577 seconds.} Frank runs 1 mile in 577 seconds. \text{Adam runs 880 feet in 1 minute.} Adam runs 880 feet in 1 minute.

Answers

Answer:

Katie runs fastest

Step-by-step explanation:

For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)

For Tony; his speed is 12ft/s

For Katie;

Katie runs 450 feet in 30seconds;

450 feet = 30 secs

x = 1 sec

Cross multiply

30x = 450

x = 450/30

x = 15ft

Hence Katie runs 15ft/s

For Frank;

Frank ran 1 mile per 577secs

1 mile = 5280feeet

This mean that he ran 5280feet in 577 secs

5280feet = 577secs

y = 1 secs

cross multiply;

577y = 5280

y = 5280/577

y = 9.15ft/s

Hence Frank ran 9.15ft/s

For Adam;'

If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs

880 ft = 60secs

z = 1sec

Cross multiply

60z = 880

z = 880/60

z = 14.67ft/s

Hence Adam ran 14.67ft/s

From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s

what is the exact value of cos(11pi/21)cos(pi/7)-sin(11pi/21)sin(pi/7)?

a. -squr3/2
b. -1/2
c. 1/2
d. squr3/2​

Answers

Answer:

B -1/2

Step-by-step explanation:

The given trigonometric expression can be evaluated as -1/2.

What are trigonometric ratios?

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The given trigonometric expression is as below,

cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7)

Suppose, A = 11π/7 and B = π/7

Then, the given expression can be written as,

cosAcosB - sinAsinB

As per the trigonometric identity cos(A + B) = cosAcosB - sinAsinB.

Then, the given expression can be written as,

⇒ cos(11π/21)cos(π/7) - sin(11π/21)sin(π/7) = cos(11π/21 + π/7)

⇒ cos(2π/3) = -1/2

Hence, the exact value of the given expression is -1/2.

To know more about trigonometric ratio click on,

https://brainly.com/question/25122825

#SPJ2

Find the area of a circle with a radius of 5 feet. Round your answer to the nearest tenth. Find the area of a circle with a diameter of 56 millimeters. Round your answer to the nearest hundredth.

Answers

Case 1 :

Radius, r = 5 feet.

Area,

[tex]A=\pi r^2\\\\A = 3.14\times 5^2\ feet^2\\\\A = 78.5\ feet^2[/tex]

Case 2 :

Diameter, d = 56 mm.

So, radius, r = d/2 = 28 mm.

Area,

[tex]A = 3.14\times 28^2\ mm^2\\\\A = 2461.76\ mm^2[/tex]

Hence, this is the required solution.

What ratio is equivalent to 7:350

Answers

Answer:

2%

Hope to help

To practice for an upcoming hot air balloon race,one team traveled 148 miles south to offload some packages.After that,they traveled another 132 miles north.Which of the best describes the estimate of how many miles the balloon team traveled in all.

Answers

Answer:

280 miles in all

Step-by-step explanation:

Step one:

given data

we are told that the team traveled 148miles south.

and also they traveled 132miles north.

Step two:

We are expected to solve for the total distance the team traveled

Hence total distance= 148+132= 280 miles in all

Note: the team;'s displacement is 148-138= 10miles in

PLEASE ITS DUE TONIGHT!!!! Sally rides her bike to run errands. It takes her 18 minutes at 10 mph to get to her first stop. She spends 20 minutes riding at 12 mph to get to her second stop. It then takes her 15 minutes riding at 15 mph to get home. a. Draw a speed vs. time graph for the time that Sally spent riding her bike. b. How far did she travel?

Answers

Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

Find the perimeter of the figure. Round to the nearest tenth if
necessary.

Answers

Answer:

hfhufittitt748474uuttioe707po5i5tii5i4tio5

A Rhombus is labeled ABCD. If the slope of AC is 1/2, what is the slope of BD?

Answers

Depending on where AC is. A rhombus is a gem shaped figure that can be folded in half. I would say BD is 1/2 as well

I hope this helps

Please help me with my homework

Answers

Answer:

$13.25

Step-by-step explanation:

Are these proportional or non proportional and why???

Answers

I’m pretty sure it’s proportional because the line on the graph is straight.

Rewrite 8 as a complex number,

Answers

Answer:

its just 8 hun

Step-by-step explanation:

sorry its already complex

Answer:

3/8

Step-by-step explanation:

Which puts the equation 2x + y = 5 into slope-intercept form?

Answers

Answer:

y= -2x+ 5

Step-by-step explanation:

plug in y=mx+b

The equation 2x + y = 5 written in the slope-intercept form is y = -2x + 5, where the slope is -2 and the intercept is 5.

An equation in the slope-intercept form is written as y = mx + c.

The given equation is 2x + y = 5.

To write the given equation in slope-intercept form, subtract both sides of the equation with 2x,

(2x + y) - 2x = 5 - 2x

2x + y - 2x = 5 - 2x

y = 5 - 2x

Rearrange the terms

y = -2x + 5

Here, -2 is the slope and 5 is the intercept.

Thus, the slope-intercept form of the equation 2x + y = 5 is y = -2x + 5.

Learn more about Equation here:

https://brainly.com/question/28953876

#SPJ6

Consider these graphed number lines.
Graph A
-5 4 -3 -2 -1 0 1 2 3 4 5
Graph B
Which number line represents the solution for the
inequality 12x - 5] > 3?
O graph A
O graph B
O graph C
O graph D
-5 -4 -3 -2 -1 0 1 2 3 4 5
Graph C
-5 4 -3 -2 -1 0 1 2 3 4 5
Graph D
-54 -3 -2 -1 0 1 2
3 4 5

Answers

Answer: Graph A

Step-by-step explanation:

got it right edg2021

Other Questions
why is it bad to jump to conclusions? 32 56 = What is the divisor? The people in this town rebelled and threw out the court.Boston2Andover3WildomarSalem Which of these is a problem that hurricanes and tropical storms can cause Jo Bobs gyro truck sold 114 gyros for lunch on Wednesday. The driver sold 98 gyros at the first stop. At the next stop, the Jones family and the Brown family bought the remaining gyros, divided equally between the two families. Each gyro cost $2.24. How much did the Jones family pay for their gyros? PLLLSSSS HELP ILL GIVE BRAINLIESTWhich description from Heart of a Samurai best gives readers a sense of Manjiro's feelings? "Buttons," Manjiro repeated to himself. He had never seen buttons before. None of them had. They were accustomed to tying their clothes together with belts, sashes, or ties. Twelve shoes, Manjiro counted, as he sat on the bottom of the boat. Stiff-looking things, brown as the skin of hairless dogs. Shiny and smooth, as if made of animal hide. [Manjiro's] hands wanted to explore those spaces just like, when hed lost teeth as a boy, his tongue wanted to explore the empty holes where his teeth had been. "Captain Whitfield," a soldier called him, and Manjiro tucked away those words before he and the others were whisked off again. stroma plant? explain Will give brainliest if correct Pls help thanks :) Ms. Bridgewater is making tie dye shirts with her students. Each gallon of hot water needs 2/3 cup of tie dye. If Ms. Bridgewater has 7 1/4 cups of tie dye, how many batches of solution will she be able to make? I need halp plezzzzzzzzz :p need help with this one please Justify your choice by writing a hypothesis to explain how it has stopped the algae from making ATP, NADPH and sugars. You will be able to revise your hypothesis as you do more experiments The bakers at Healthy Bakery can make 240 bagels in 10 hours.How many bagels can they make in one hour? Please help this is my first article for the newspaper and I want it to be good I will give brainest to the one I like best. Question: What topic should I write about for my school news paper, it can be about anything. A baseball is thrown towards home plate. It takes 3.4 seconds for the ball to reach the catcher's glove from the pitcher's glove and reaches a maximum velocity of 90m/s. What is the ball's acceleration? help help help help please i need it :) !! What Is a non example of a smooth muscle Anne creates a web page and loads a CSS style script along with the page. However, the entire page appears black and she cannot see any of thetext she has entered. What is the possible could be causing this issue? MENTION THE STAGES OF CONFLICT MANAGEMENT How did I write the following five things in Python?Ask the user for their first nameSay Hello followed by the users first nameAsk the user how old they areTell the user how old they will be in 10 years and in 20 yearsTell the user how old they were 5 years ago