10 points
3. Austin solved the equation as shown below. Which describes the error
that Austin made in his work?
Austin's Work:
-3 + 7x - 9 + 8x = 54
15x - 6 = 54
15x = 60
x = 4
A. Austin did not combine 7x and 8x correctly.
B. Austin did not combine -3 and -9 correctly.
C. Austin did not divide correctly
D. Austin did not make an error in his work.

Answers

Answer 1

Answer:

B. he didn't combine -3 and -9 correctly

Answer 2

The error that Austin made in his work is  Austin did not combine -3 and -9 correctly.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that  solved the equation -3 + 7x - 9 + 8x = 54 as shown below.

-3 + 7x - 9 + 8x = 54

15x - 6 = 54

15x = 60

x = 4

We need to check where did Austins has done wrong.

-3 + 7x - 9 + 8x = 54

15x-12=54

For Austin while combining -3 and -9 he got -6 which is wrong.

So Austin did not combine -3 and -9 correctly.

Hence, the error that Austin made in his work is  Austin did not combine -3 and -9 correctly.

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Related Questions

the complement of an angle is 40° more than four times itself.find the supplement angle​

Answers

Answer:

Supplement angle: 170°

Step-by-step explanation:

Equations

Let x=the required angle. Since complementary angles sum 90°, then 90-x is the complement of x. According to the conditions of the question:

[tex]90-x=40+4x[/tex]

Simplifying:

[tex]90-40=4x+x=5x[/tex]

Solving:

[tex]x=50/5=10[/tex]

The angle is 10°. The supplement angle is 180°-10°=170°.

Supplement angle: 170°

Please guys I need help with this

Answers

.45*104
Answer
46.8 liquid

For 9-10, Write one equation to show a way to break down each number 24

Answers

USE SOCRACTIC IT WOULD DEFINITELY HELP WITH QUESTIONS LIKE THIS TRY IT I PROMISE

which equation can be used to solve for x in the parallelogram below

Answers

I can’t see the image it’s very blurry
the answe is most definitely 11 and 8

63 pt​__ gal​ __ qt​ __ pt

Answers

I really don’t know what the answer is and why are you trying to cheat

What is the distance between point A and point B? Enter your answer in the box.

Answers

the answer to this question is= 13

Answer:The distance between point a and point b is the number of units in between the 2 points

Step-by-step explanation:

Rituparna Banerjee
Samantha used the school computer 20 hours last month. Her brother Jacob used the school computer for 60 hours. What is the ratio of
the hours Samantha used the computer to the hours Jacob used the computer?
O A 3 to 1
OB. 1 to 3
O C. 1 to 4
O D. 3 to 2
O

Answers

Answer:

20:60 simplified

Step-by-step explanation:

so the question wants u to set up the ratio, Samantha's computer time to jacobs computer time, so 20:60 basically. now the choices they give u looks all simplified so we have to simplifi 20:60 witch is B)1 to 3. always remember when u r simplifing u have to divide the ratio by the same number.

Jolene is cutting a strip of yarn that is 11/12 inch long into pieces that are 2/12 inch long for collage. How many complete pieces can she make?

Answers

Answer:

10.5/12

Step-by-step explanation:

Thats my guess from my math

Answer:

5 1/2

Step-by-step explanation:

1112÷16

Applying the fractions formula for division,

=11×6/12×1

=66/12

Simplifying 66/12, the answer is

=512

A car traveled at a constant speed. The graph shows how far the car traveled, in miles, during a given amount of time, in hours.
The point (3.5,210) is on the graph. Explain what this means in terms of the car.
Is the point (1,60) on this graph? Explain how you know.

Answers

Answer:

Step-by-step explanation:

A car traveled at a constant speed as shown in the graph.

Distance traveled is on the y-axis and duration of travel on the x-axis.

Point A(3.5, 210) shows,

Distance traveled = 210 miles

Time to travel = 3.5 hours

So the point (3.5, 210) shows the distance traveled by the car in 3.5 hours is 210 miles.

Slope of the line = speed of the car = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]

                           = [tex]\frac{210}{3.5}[/tex]

                           = 60 mph

Now we will find the speed of the car at another point B(1, 60).

If the speed of car is same as the point B as of point A, point B will lie on the graph.

Speed of the car at B(1, 60) = [tex]\frac{\text{Distance traveled}}{\text{Time}}[/tex]

                                             = [tex]\frac{60}{1}[/tex]

                                             = 60 mph

Hence, we can say that point B(1, 60) lies on the graph.

Write the point slope form

slope= -1/3, Y intercept= -4

Answers

Answer: y+4=-1/3(x)

Step-by-step explanation:

y-y1=m(x-x1) (Formula)

Y-intercept -4 so point is (0,-4)

m or slope=-1/3

y--4=-1/3(x-0)

y+4=-1/3(x)

Do you think it is true that any solution point to the equation y=1/2x+1 is a point on the line? Explain.

Answers

It is true..

I don't have an explanation.

Write the range as an inequality.
I will give brainliest to however can help me with this!

Answers

The function would be f(x) = (x+2)^2 - 2 [-3, infinity)

Here is a list of numbers:
5.5, 6.3, 2.3, 4.5, 8.7, 3.4, 1.7 ,6.3 ,4.7 ,8.2
State the median.

Answers

add up all of the numbers and you get 45.3 then divide by 10 because there are 10 numbers and get 4.53

114 = 3 (y + 18) what is the missing value

Answers

Answer:

y= 20

Step-by-step explanation:

114 = 3y + 54

114 - 54 = 3y

60 = 3y

y = 60 ÷ 3

y = 20

At 8 a.m. the temperature was -14ºF. By noon, the temperature was 12ºF. Find the difference in temperature. Did it rise or drop?

Answers

Answer:

Difference=26 degrees

It rose

Step-by-step explanation:

Answer: The difference is 28 degrees and the temp. increased or was raised.

Step-by-step explanation:

Mark's grade went from 65% to 90%. What was his percent increase?
А
25%
B
28%
С
38%
D
90%

Answers

Answer:

A

Step-by-step explanation:

10
50 10
Why are the solutions to the proportions X - 20
and 50
20
the same?
X
because both result in the equation 20x=500, which simplifies to x = 25
because both result in the equation 20x = 500, which simplifies to X = 250
because both result in the equation 10x = 1,000, which simplifies to x = 10
obecause both result in the equation 10x = 1,000, which simplifies to x= 100

Answers

Because both results in the equation 20=500 which simplifies to x =250

1/6 x 3/4 plssss I need help

Answers

Answer:1/8

Step-by-step explanation: :D CALULATOR BAD SPELL I KNOW

what is the oppisite of -4

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

4 is the oppisite of -4 is 4, you know that because it is in the exact oppisite side in the numberline.

The least-squares regression line yˆ=1.8−0.2x summarizes the relationship between velocity, in feet per second, and depth, in feet, in measurements taken for a certain river, where x represents velocity and y represents the depth of the river. What is the predicted value of y, in feet, when x=5?

Answers

Answer:

0.8

Step-by-step explanation:

It is 0.8 because since you have y=1.8-0.2x (which is in the form of y=mx+b); and you have the value that x=5, all that you have to do is plug in 5 into the X in the equation.

Here is shown work:

y=1.8-0.2x

y=1.8-0.2(5)

y=1.8-1

y=0.8

Hopefully this helps! :)

The predicted depth value when the velocity value is 5 will be 0.8 feets

Given the regression model :

yˆ=1.8−0.2x

yˆ = Predicted value

x = velocity

To calculate the predicted depth, at a given velocity, x ;

Substitute the value of x and solve for yˆ in the equation

When x = 5

yˆ=1.8−0.2(5)

yˆ=1.8− 1.0

yˆ = 0.8

Therefore, the predicted depth value in feet is 0.8

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please answer number 9 :((((

Answers

okay so the 2x+6 is the red line

x<12 is the purple region

-3/4x+8 is the blue line

x is greater than or equal to 12 is black

the second picture shows when 8 ≤ x ≤ 16

in the second photo it shows the region where 8≤x≤12 which is the red shaded part

If David and his friends each get an equal slice of cake, what fraction of the original cake does each person get

Answers

Answer:

7/60

Step-by-step explanation:

multiply 7/12 by 5 (5 people in total) which equals 35/60 which you then divide the 35 by the 5 people

6 divided by 2 over 3​

Answers

Answer: 1

Step-by-step explanation: 6/2=3      3/3= 1

Answer:

9

Step-by-step explanation:

6 divided by [tex]\frac{2}{3}[/tex] 2 over 3

6/(2/3) = 9

Check- [tex]\frac{2}{3}[/tex]*9 = 6

Which property of addition is shown in the equation below?Which property of addition is shown in the equation below? a + bi + 0 + 0i = a + bi commutative property inverse property identity property associative property

Answers

Answer:

C. Identity Property

Step-by-step explanation:

edge2020

Have a great day y'all :)

The equation [ a + bi + 0 + 0i = a + bi ] is identity property. Then option C is correct.

What is identity property?

For addition, 0 serves as the identification element. The initial number is obtained by adding any number to 0. Example ( a+0=a). 1 serves as the identity element in multiplication. The result of multiplying any number by 1 is the original number.

The expression is,

a+ bi + 0+0i = a+bi

In the above number a+bi, another zero complex number 0 + 0i is added the result is the same as before. Hence, it is identity property.

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Starting with 2 marked points, A and B, precisely describe the straightedge and compass moves required to construct the triangle ABC in this diagram

Answers

An equilateral triangle can be constructed from two equal sized circles with the circumference of one circle passing through the center of the other

Please find attached an outline of the construction of an equilateral triangle

The construction is correct based on the properties of an equilateral triangle

Question: The diagram in the question is not displayed;  Please find the steps to construct the attached equilateral triangle as follows;

The moves to construct an equilateral triangle, starting from two marked points, A and B are as follows;

Place the compass at point A and draw a circle with radius ABPlace the compass at point B, and with the same radius AB, draw another circle to intersect the first circle with center at A. Label the point of intersection of the two circles, above the line AB as CDraw a line each from C to A and from C to B using a straightedgeThe triangle ABC formed is an equilateral triangle

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A young female lion was brought into the wildlife zoo weighing 53.5 pounds. After two years, she weighed 5.5 times
that amount. Which is the most logical estimated product for the weight of the lion after two years of captivity?
O 3 pounds
O 32 pounds
324 pounds
3240 pounds

Answers

Answer:

324

Step-by-step explanation:

This is because when rounding you multiply 55 by 6 that is equal to 330 which is near 324. However if you want the answer spot on it would be 294

Answer:

324

Step-by-step explanation:

so you would times 53.5 by 5.5 and you would get 294.25 so i rounded up and the most logical  estimation there was is 324 pounds  

help please this is due in 20 minutes!

Answers

Step-by-step explanation:

sum of three no =94

first no =X

second no x-8

third no =4(x-8)

X+(x-8)+4x-32=94

6x-40=94

6x=94-40

6x=54

X=54/6

X=9

Answer: The first number is 9, the second number is 17, and the third number is 68.

Step-by-step explanation:

Using the given information we will represent the first number by f , the second number by s, and the third number by t.

The first number is 8 less than the second  and we will represent that by the equation,   f= s-8

The third number is 4 times the second and it will be represented by the expression,  t= 4s  

We know the sum of the numbers has to equal  94 so we will add them.

The first number is s-8, the second is s, and the third is 4s.

(s - 8) + (s) + 4(s) = 94   Solve for s to find the second number.

6s - 8 = 94

    +8     +8

6s = 102    

s = 17  

The second number is 17 and we will input 17 in for s to solve for the first and third numbers.

f= 17 - 8

f= 9  

The first number is 11.

t= 4(17)

t = 68    

The third number is 68.

Check: Now add them to see if they equal to 94.

9+ 17 + 68 = 94

   94 = 94      

What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1

Answers

The slope is the number with the letter x

The slope would be -10

The y intercept is the number at the end of the equation.

The y intercept is 1

The y intercept is 1

What is the cosine of 90 degrees?

Answers

Answer:

The answer is 0.

HEEEEEEELLLLLPPPPP!!!!!!!!!!!!!!!!!!

Answers

(15,1) (14,6)

6-1 5
—— = —
14-15 -1
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