Emily is solving the following System of equations using Substitution:

y=3x-4

y=2x+1

Her steps are shown below.

Part A

Click on the first step in which Emily made an error.​

3x-4=2x+1

5x-4=1

5x=5

x=1

y=3(1)-4=3-4=-1

(1,-1)


Part B

Explain what Emily did wrong and then what she should have done to make sure it was the correct answer.

Answers

Answer 1

Answer:

Emily is solving the following system of equations using substitution:

y = 3x - 4

y = 2x + 1

Part A:

After substituting y's values:

3x - 4 = 2x + 1

What she did:

3x - 4 = 2x + 1

3x + 2x - 4 = 1

5x - 4 = 1

What she should have done:

3x - 4 = 2x + 1

3x - 2x - 4 = 1

x - 4 = 1

Part B:

This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.

Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.

[tex][/tex]


Related Questions

The temperature was 70 then dropped to 30 how much is it now?

Answers

Answer:

nmdjskln Jdj

Step-by-step explanation:

Mmh not sure but I think 30

0.326 as a fraction

Answers

Answer:

163/500

Step-by-step explanation:

we will not only clearly explain how to get the answer to 0.326 as a fraction, but also prove to you that our answer is correct.

First, note that 1000 multiplied by .326 will get rid of the decimal point. Therefore, make a fraction where the numerator is .326 times 1000 and denominator is 1000 like this:

.326 x 1000

1000

Next, multiply the numbers in the numerator together and keep the denominator as is. Now our fraction looks like this:

326

1000

The greatest common factor of 326 and 1000 is 2, which means you can divide the numerator and denominator by 2 and keep the same value:

326 ÷ 2

1000 ÷ 2

And when calculating the numerator and denominator in our fraction above, we get .326 as a fraction in the simplest form possible:

.326 =

163

500

If the pattern continues, what would be the seventh number in the pattern?

98, 91, 85, 80


A. 76

B. 73

C. 71

D. 70

Answers

The answer would be 76
Answer: The answer is A. 76

Determine the equation of the circle graphed below. ​

Answers

Answer:

Step-by-step explanation:

the formula for a circle not on the origin is :

(x−h)^2+(y−k)^2=r^2

for the circle shown it looks like the  circle is centered at (1,3)

then h=1 and k=3 and the radius looks to be about 2

(x−1)^2+(y−3)^2=2^2

(x−1)^2+(y−3)^2=4

there is your equation for that circle shown in the graph

The average of Blanca's first three test scores was 90. The average of her next two test scores was 95. What was the average of Blanca's first five test scores?

Answers

Answer:

92.5

Step-by-step explanation:

you would add 90+95 which is 185 then divide that by 2 to get ur answer

What is a 65% increase of 32

Answers

Answer:22.75 or

Step-by-step explanation: If you are looking for the actual increase, it is 65/100 times 32 which is 22 and 3/4 which is 22.75. But if you are looking for the total, it is 22.75 plus 32, it is 54.75.

22.75. hope this helped

Consider functions f(x) and g(x). Which expression is equal to f(x)* g(x)?

Answers

Answer:

can u show a pic

Step-by-step explanation:

vectors
p=(4,3) and q=(-2,7), find 4p -2q​

Answers

Answer:

(20, -2)

Step-by-step explanation:

Given the coordinate vectors p=(4,3) and q=(-2,7),

4p - 2q  = 4(4, 3)- 2(-2, 7)

4p - 2q  = (16, 12) - (-4, 14)

4p - 2q  = (16+4, 12-14)

4p - 2q  =(20, -2)

hence the required vector is (20, -2)

i need help please !

Answers

It’s C I think it is

Answer:

[tex]D.\ 7 \frac{3}{4} * \frac{\sqrt{16} }{5} = \frac{31}{4} * \frac{4}{5} = \frac{31}{5} \\\\C. \ 7 \frac{3}{4} + \frac{\sqrt{16} }{5} =\frac{31}{4} + \frac{4}{5} = \frac{171}{20}[/tex]

Find the volume of the rectangular prism
Thank you!!

Answers

Answer:90

Step-by-step explanation: do length x base x height to get your answer

PLEASE HELP WILL GIVE BRAINLEST DUE IN 30 MINUTES

Answers

Answer:

12. (0,-4)

13. 3 blocks apart

14. Quadrant III (-x,-y) Hospital or Police Station (There are 2?)

15 9 to the right, 1 down.

Answer: (0,-4)

3 blocks

hospital

9 blocks

Step-by-step explanation:

heyy! i’ll give brainliest please help.

Answers

The answer is a for this question

From the city A to C, there are two options: through city B or not. From A to B there are 3 different routes, from B to C there are 4 different routes, and there are 2 ways from A to C, directly. How many possible ways can a person choose,from A to C ?​

Answers

Answer:

36

Step-by-step explanation:

You add all of them together which is 9

Then you take the combination of A to C

Which is 9C2

A man walks 1500 metres.

On a map this is shown as 3cm.

What is the scale on the map?​

Answers

The scale on this map is 1 cm = 500 meters

The scale on the map is 1 cm for 500 m.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

Given that, A man walks 1500 metres. on a map, this is shown as 3 cm.

3 cm = 1500 m

1 cm = 500 m

Hence, The scale on the map is 1 cm for 500 m.

For more references on scale, click;

https://brainly.com/question/841108

#SPJ2

the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer

Answers

Tvyctcybininuthjjgghkkjhgccxfhkkv huh huh

May someone help me I kinda stuck and I would love some help it 6th-grade math!

Answers

Answer:

72

Step-by-step explanation:

first, you cut the top of the T and you multiply 12 x 3 which is 36. Then with the 4 cm on both sides, I'm assuming the middle part is also 4 (since the other side is 12) and then you multiply 9 x 4 which is also 36, then you add and get 72!

An angle has a measure of 150° and a terminal side that intercepts the unit circle at (x,y). What are the values of x and y?

Answers

Answer:

x = -√3 /2

y = ½

Step-by-step explanation:

x = cos 150°= -√3 /2

y = sin 150° = ½

plsssssss helpppppppp meeeeee!
<3​

Answers

Answer:

X = 99

Step-by-step explanation:

Susie flips a coin three times. what is the probability of her getting tails all three times?​

Answers

Answer:

18

Step-by-step explanation:

Hoped this helped!!

Answer:

1/8 or 12.5%

Step-by-step explanation:

It is a 0.5 percent chance of getting tails in a coin flip. Since you flip the coin three times, multiply the probability of getting tails in a coin flip three times. (0.5) Times (0.5) Times(0.5)= 1/8 or 12.5%.

simplify: ^6sqrtx times ^4sqrty^3​

Answers

Answer:

i show the answer in picture

Answer: C

Step-by-step explanation:

A rainwater collection tank is shaped like a cylinder with a diameter of 4 ft and a height of 6 ft. What is its volume?

Answers

I’m pretty sure the answer is 75.4 ft cubed.

Find the slope of a line that passes through the points (7, -2) and (-4, 5).

Answers

Answer:

-11/7

Step-by-step explanation:

y1-y2/x1-x2

7-(-4)/-2-5

11/-7

Answer:

-7/11

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-2) / -4 - 7

= 7 / -11

= -7/11

Today's cafeteria specials at a high school in Westford are a deluxe turkey sandwich and a chef salad. During early lunch, the cafeteria sold 13 turkey sandwiches and 69 chef salads, for a total of $151. During the late lunch, 61 turkey sandwiches and 41 chef salads were sold, for a total of $143. How much does each item cost?

Answers

Answer:

chef salads = $2

turkey sandwiches = $1

Step-by-step explanation:

two equations can be derived from the question

13t + 69c = 151 eqn 1

61t + 41c = 143 eqn 2

t = turkey sandwiches

c = chef salads

multiply equation 1 by 61 and equation 2 by 13

793t + 4209c = 9211 eqn 3

793t + 533c = 1859 eqn 4

subtract equation 4 from 3

7352 = 3676c

c =2

substitute for c in equation 1

13t + 69(2) = 151

13t + 138 = 151

13t = 151 - 138

13t = 13

t = 1

B) Una empresa A gana S/ 42 758,35 en un ano. Si la empresa B gastara S/ 8774,55; tendria tantas ganancias como la primera empresa. Cual es la ganancia total de la empresa B?

Answers

Answer:

Las ganancias totales de la empresa B en dicho año fueron de $51.532,90.

Step-by-step explanation:

Dado que una empresa A gana $42.758,35 en un año, y si la empresa B gastara $8.774,55 tendría tantas ganancias como la primera empresa, para determinar cuál es la ganancia total de la empresa B se debe realizar el siguiente calculo:

Ganancias B - 8.774,55 = 42.758,35

Ganancias B = 42.758,35 + 8.774,55

Ganancias B = 51.532,90

Por lo tanto, las ganancias totales de la empresa B en dicho año fueron de $51.532,90.

PLEASE HELP!!! I really need help with this question, so if anyone could spare a few min then thank you so much!! ;w;

Answers

Answer:

Hello! answer: -6

Step-by-step explanation:

Hope that helps!

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.The company wants to use the package that has the least amount of wasted space. The company should choose

Answers

Answer:

The Company should choose to get the cylinder packages  ( V = 42.39 in³ )

Step-by-step explanation:

The volume of a cylinder of radius of circumference 1.5 in  and h = 1.5*4

h  =  6 in   is:

V(c)  =  π *r²*h   =  π * (1.5)²*6   =   π *2.25*6

V(c)  = 42.39 in³

Now V(p) =  Square of the base ( of side 3 in) * h

h  =  6 in

V(p)  =  (3)²*6

V(p)  =  54 in³

If we compare these two volumes we see that the volume of the cylinder is small than that of the square prism

a calculator is listed for $110 and is on clearence for 35% off. sales tax is 7%. what is the cost of the calculator

Answers

Answer:

$76.51

Step-by-step explanation:

The price after discounting is (1.00 - .35)($110), or 0.65($110) = $71.50.

The price after 7% sales tax has been added in is

(1.00 + 0.07)($71.50) = $76.51.

Answer:

76.50

Step-by-step explanation:

hii! please help asap. i’ll give brainliest

Answers

Answer:

d

Step-by-step explanation:

help me pleaseeeee. what is this?

Answers

Answer:

104

Step-by-step explanation:

all the angles of a triangle add up to 180, so set up an equation like this:

x+35+41=180

now solve for x

x=180-35-41

x=104

104 degrees a triangle = 180 degrees 104 + 41 + 35 = 180 degrees

Please help! DO NOT SEND LINK!

Answers

Answer:

Mizuki here to answer!

The correct answer would be 15 inches!

Step-by-step explanation:

7200 ÷ (24 x 20) = 15

Answer:

Hello! answer: 15

Step-by-step explanation:

The volume is 7200 volume is found by doing length × width × height therefore the height is 15 because... 24 × 20 × 15 = 7200 HOPE THAT HELPS!

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