Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.
Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the
equation as 13x = 60 - 7x.
Who is correctly applying the addition property of equality in the first step of his work?
A. Only Joey
B. Only Nolan
C. Both Joey and Nolan
D. Neither Joey nor Nolan​

Answers

Answer 1

Answer:

First step=13x+7x=18+42

Step-by-step explanation:

13x-42=18-7x

First step

It is to collect like terms of the equation

13x+7x=18+42

20x=60

x=60/20

x=3


Related Questions

Anna has 2 purple lipsticks, 3 red lipsticks and 3 pink lipsticks in her kit. She picks one lipstick, record its color, puts it back in the kit and draws another lipstick. What is the probability of taking out a purple lipstick followed by the red lipstick?

Answers

Answer:

9/64

Step-by-step explanation:

This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.

Given data

2 purple lipsticks,

3 red lipsticks and

3 pink lipsticks

The sample space s=(2,3,3)

The sample size= 8

1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]

2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]

probability of taking out a purple lipstick followed by the red lipstick is

[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]

An employee earns a 25% commission rate on his sales. One day, he earned $175.

Answers

If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.

If he earned $175 from his commission that’s means he had to have sold a total of $700 since 25% is 1/4 of 100%.

The volume of a sphere whose diameter is 18 centimeters is

Answers

Answer:

please give more clarification

finding angle measures using triangles

Answers

i got angle x= 76 degrees

In the given diagram ∠AJF or x comes to be 76°.

What are opposite angles?

Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.

We know that ∠JIH+∠JID=180°

107° +∠JID=180°

∠JID=180°-107°

∠JID=73°

∠JDI=31°(given))

In triangle JDI,

∠JDI+∠JID+∠IJD=180°

31° + 73° + ∠IJD =180°

∠IJD =76°

We know that ∠IJD and angle x° are opposite angles.

So, x=76°

Therefore, In the given diagram ∠AJF or x comes to be 76°.

To get more about angles visit:

https://brainly.com/question/25770607

What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answers

Answer:

The inverse function h(x) = 4x + 48

Step-by-step explanation:

Here, we want to find the inverse of a function

The function is;

f(x) = x/4 -12

now, let this value equals m

so;

m = x/4 -12

we now try and make x the subject formula and this gives us the inverse.

m = (x-48)/4

4m = x -48

x = 4m + 48

substitute m for x

which implies 4x + 48

This is the inverse of the function

Answer:

D. h(x) = 4x + 48

Help me answer this

Answers

Answer:

The answer would be 10.

Step-by-step explanation:

10 is the number that has the most number of dots above it.

I will mark you brainliest!!! Identify the exponential function shown in the graph.

Answers

Answer:

Letter B.

Step-by-step explanation:

Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.

What is the value of p?

Answers

The equal of all angles is 180 so A=90 and B=180-125=55 so the answer is D = 35

Answer:

Step-by-step explanation:

Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego

Answers

Answer:

the slopes of the adjacent line segments are equal......

Step-by-step explanation:

hope it's helpful

Order the simplification steps of the expression below using the properties of rational exponents. [tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]

A.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}}\cdot ^{\frac{1}{3}}\cdot ^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\\[/tex]

B.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7\cdot 7^{\frac{1}{3}}=3\cdot \frac{1}{3}\cdot 7=1\cdot 7=7[/tex]

C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}}+\:^{\frac{1}{3}}+\:^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]

D.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7\cdot \left(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\right)=7\cdot \frac{3}{3}=7\cdot 1=7[/tex]

Answers

The answer is C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]

what you plug in for calculator

\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7

Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
Save and Exit
Next
Submit
Mark this and return

Answers

We are given the information that angle one = equal to angle two = angle three
So, if angle one is 60 degrees, then angle three must be 60 degrees
This is because angle one is equal to angle three
So, whatever value angle one is, angle three will always be that value because they are equal to each other

Therefor,e your answer is option a

-12.40 in simplest from

Answers

Answer: [tex]- \frac{62}{5}[/tex]

Convert the decimal number into a fraction

Multiply by 10

[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]

[tex]- \frac{124}{10}[/tex]

Divide the fraction by 2

[tex]- \frac{62}{5}[/tex]

Can someone help me it’s geometry I will really appreciate it :,)

Answers

Answer:

LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES

-4

Step-by-step explanation:

A high school graduating class is made up of 351 students. There are 73 more girls than boys. How many boys are in the class?

Answers

Answer:

let x be the number of boys

given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73

also given is that x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students

let x be the number of boys.

Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73

also given is that

x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students.

What is the term for graduating high school?

To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.

Learn more about graduating high school here: https://brainly.com/question/14862649

#SPJ2

what is 100 divided by 3?

Answers

Answer:

0.003

Step-by-step explanation:

100 / 3 = 0.003

When dividing with (10, 100, 100 etc) you go this way <—

0.003 100/3=0.003 hope this helps

Suppose a group of 24 people bought tickets to the American Kennel Club Museum of the Dog. Tickets cost $15 each for adults, $10 each for students, and $5 each for children under age 12. There were twice as many adults as children under age 12. If the total cost of the tickets was $260, how many tickets were purchased for children under age 12? *

Answers

Answer: 50

Step-by-step explanation:

Admission to the school fair is $2.50 for students and $3.75 for others. If 2848 admissions were collected for a total of $10,078.75, how many students attended the fair?

Answers

Answer:

4031.5

Step-by-step explanation:

If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?​

Answers

Answer:

x³ - 9x² + 27x - 27

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side ) , thus

V = (x - 3)³

   = (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL

   = (x - 3)(x² - 6x + 9) ← distribute

   = x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms

   = x³ - 9x² + 27x - 27

HELP!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A. Obtuse

Step-by-step explanation:

Supplementary Angles: either of two angles whose sum is 180°

Adjacent: have a common side, a common vertex, and don't overlap

Which of the following are solutions to |x + 3|=4x-7 check all that apply

Answers

Answer:

3.333333

Step-by-step explanation:

4x-x=3+7

3x=10

x=3.33333

An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?

Answers

Answer:

work is shown and pictured

INEED YOUR HELP ASAP!!! For the expression 6 − y + 3, determine the coefficient for the variable term.

Answers

Answer:

[tex]-1[/tex]

Step-by-step explanation:

[tex]6 - y + 3[/tex]

[tex]-y+3+6[/tex]

[tex]-y+9[/tex]

A coefficient is a number that is used to multiply with a variable.

[tex]-y=-1y[/tex]

[tex]-1y+9[/tex]

What is the slope-intercept for Y-5 =-3x+2

Answers

Answer:

-5/3

Step-by-step explanation:

Convert 237 into binary system​

Answers

Answer:

237 in binary is 0b11101101

Please see the attached picture for full solution

hope it helps....

Good luck on your assignment

En un colegio hay dos grupos de 1º ESO con 24 alumnos cada uno.
a) Si las chicas de 1º A son el doble que los chicos, ¿cuántas chicas hay en la clase?
b) Si el número de chicas de 1º B supera en cuatro al de chicos, ¿cuántos chicos
hay?

Answers

Answer:

I will answer in English.

In each group, A and B, we have 24 students.

a) The number of girls in A is twice the number of boys in A.

Then, if G is the number of girls and B the number of boys.

G + B = 24

G = 2B

Now we can replace the second equation into the first one:

2B + B = 24

3B = 24

B = 24/3 = 8

G = 24 - 8 = 16

We have 16 girls in class A.

b) In B we have 4 more girls than boys, then:

G  = B + 4

G + B = 24

we can replace the first equation into the second one:

B + (B + 4) = 24

2*B = 24 - 4 = 20

B= 20/2 = 10

We have 10 boys in class B:

A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of:

A 2 of Spades 1/13

A Jack 1/26

A red King 1/4

A Diamond suit 1/52

Answers

2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

Which of the following is(are) the solution(s) to |x+8|=1
A. x=9
B. x= 7,9
C. x= -7, 9
D. x= -7

Answers

D. X = -7

Step 1: Subtract 8 from both sides.

x + 8 - 8 = 1 - 8

Answer:

x = -7

The reminder when the square of any prime number greater than 3 is divided by 6 is ​

Answers

Answer:

(A) 1(B) 3 (C) 2(D) 4

Step-by-step explanation:

What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A) (x − 11)2 + (y + 6)2 = 36 B) (x − 11)2 + (y − 6)2 = 36 C) (x + 6)2 + (y − 11)2 = 72 D) (x − 11)2 + (y − 6)2 = 72

Answers

Answer:

Its D

Step-by-step explanation:

The revenue generated by the band is given by the expression 50x+150
Select all of the ordered pairs that are solutions to the inequality:

50x + 150y > 1500

(1, 10)

(10, 1)

(0, 10)

(40, 0)

Answers

Answer:

(1, 10) and (40, 0)

Step-by-step explanation:

Given expression 50x+150

inequality is

50x + 150y > 1500

it means that if we plug value of x and y from given option in  50x+150 then it should be greater than 1500.

lets check for all the option

(1,10)

50*1 + 150*10 = 50+1500 = 1550

Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given

(10, 1)

50*10 + 150*1 = 500+ 150 = 650

Since , 650 is less than 1500, (10,1) is not the solution for the inequality given

(0, 10)

50*0 + 150*10 = 0 + 1500 = 1500

Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given

(40, 0)

50*40 + 150*0 = 2000 + 0 = 2000

Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.

Thus, from the given option there are two solution for 50x + 150y > 1500

(1, 10) and (40, 0)

(1, 10) (40, 0) as the person above/below stated.

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