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Simplify the expression.


7(6x – 4) + 1


1. Distribute the 7 through the parentheses.


2. Combine like terms.


What is the expression in its simplest form?

A) 42x – 28 + 7

B) 42x – 3

C)42x – 28 + 1

D) 42x – 27

Answers

Answer 1

Answer:

D) 42x-27

Step-by-step explanation:

Distribute the 7

7*6x=42×

7*-4=-28

Combine like terms:

42x(Stays there)

-28+1=-27

42x-27


Related Questions

can someone solve m - 4m= -6 step by step please?

Answers

Answer:

m = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

m - 4m = -6

Step 2: Solve for m

Combine like terms:                    -3m = -6Divide -3 on both sides:              m = 2

Step 3: Check

Plug in m into the original equation to verify it's a solution.

Substitute in m:                     2 - 4(2) = -6Multiply:                                 2 - 8 = -6Subtract:                                -6 = -6

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

What is the least amount of information that you need to construct a triangle congruent

Answers

Answer:

6 points of data, minimally.

Easiest if they are 3 points.

All data is going to be comprised of more than one unit of data itself.

For 3 points, we need 6 coordinates.

For 3 lines, we need 2 points each, and then 2 coordinates for each point.

Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.

Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.

So in a 2D space, the information required to make a figure is twice the number of vertices.

Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.

“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”

Edit… A closed figure made only of straight line segments.

I'm sorry if it has any wrong ‍♀️

Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:

the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.

Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].

The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.

Some of the steps required in construction of a congruent triangle to a given one are:

1. Draw a line with a straight edge and mark a starting point.

2. copy one of the angles of the given triangle to the marked point on the line drawn.

3. Copy the length of sides of the triangle appropriately.

5. Copy the measures of other angles and length of sides to complete the congruent triangle.

Therefore, some of the least amount of information to be known for the construction are:

the length of sides of the given triangle.the measure of the internal angles of the triangle.the orientation of the triangle.the type of triangle given.

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washington high school's head tennis coach, ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but ms. racket provides them with snacks.there is a proportional relationship between the number of students who enroll in ms. racket's tennis camp, x, and the total number of snacks she buys, y.what is the constant of proportionality? write your answer as a whole number or decimal.snacks per student

Answers

The constant of proportionality is comes out to be 3.

What is constant of proportionality?

When two variables are proportional to one another, their relationship can be expressed as y = kx or y = k/x, where k defines how the 2 factors are related to one another. The above k is recognized as the proportionality constant.

The proportionality constant is the constant value of the ratio of two proportional quantities. When the ratio or product of two varying quantities yields a constant, they are said to be in a proportional relationship. The proportionality constant's value is determined by the type of proportion between both the two given quantities: direct variation or inverse variation.

Now according to the question.

The proportionality constant denotes the ratio of the words x and y.

It is found by dividing Δy by Δx.

Δy/Δx = (y₂ - y₁)/(x₂ - x₁)

Consider two values from the table;

y₂ = 39 ; x₂ = 13

y₁ = 30 ; x₁ = 10

Substituting the values in the formula;

Δy/Δx = (39 - 30)/(13 - 10)

Δy/Δx = 9/3

Δy/Δx = 3

Therefore, the value of constant of proportionality is 3.

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The complete question is -

Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.

X      Y

10     30

13     39

14     42

21     63

Sarah is going to the amusement park, where she has to pay a set price of admission and another price for tickets to go on each of the rides. The total amount of money Sarah will spend is given by the equation y=1.5x+16 where y represents the total amount of money, in dollars and cents, and x represents the number of rides Sarah goes on. What is the meaning of the y-value when x=1?

Answers

Sarah had spent a total amount of $17.5 as y represents the total amount when x which represents the number of rides which will be 1.

In the given question, It is stated that Sarah had a set price for admission and for ride tickets. The equation representing this situation given in the question is y = 1.5x + 16, where y represents the total amount of money Sarah will spend, and x represents the number of rides she will have in the park.

We have been given a situation in which the value of x is set to be 1. So, taking x = 1 in the equation y = 1.5x + 16, We get :

       => y = 1.5(1) + 16   => y = 17.5

Here we get y = 17.5 which will be the total amount Sarah will spend in the amusement park.

Hence, when x = 1, y tells us the total amount Sarah spends in the amusement park which will be $17.5

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Select all of the fractions that are equivalent to -2/3

o 2/-3

o -3/-2

o -2/-3

o - 2/3

o -3/2

o -2/2

Please helppp


Answers

Answer:

Step-by-step explanation:

⇒o 2/-3  Doesn't matter where the minus is as long as there an odd numbere of them.

o -3/-2

o -2/-3

⇒o - 2/3   This is given. Is it really listed.

o -3/2

o -2/2

There really are only 2 of them. 3/2 in any form is not equal to 2/3.

-2/2 = - 1 not -2/3

-2/-3 There are an even number of - signs. The answer is 2/3

How many hours and minutes are 8:15 a.m. to 2:53 p.m.

Answers

8.15-8.20 - 5 mins
8.20-9 - 40 mins
9am-2pm - 5 hours
2pm-2.53 - 53 minutes
add all and you get
6 hours and 38 mins <3

Answer:

There are 6hrs and 38 minutes between 8:15 am and 2:53 pm

Step-by-step explanation:

8:15 a.m- 9:15 am= 1 hr

9:15 am- 10:15 am= 1 hr

10:15 am-11:15 am=1 hr

11:15 am- 12:15 pm= 1 hr

12:15 pm- 1:15 pm= 1 hr

1:15 pm- 2:15 pm= 1hr

2:15 pm-2:53 pm= 53-15= 38 min

Three fifth of the T-shirts in a T-shirts shop are blue. Five eights of those T-shirts are on sale.One third of the blue T-shirts that are on sale are size medium. What fraction of the shop’s T-shirts are blue T-shirts that are on sale and are size medium?

Answers

Answer:

1/8

Step-by-step explanation:

We can just multiply the fractinos

3/5 * 5/8 * 1/3

=

15/120

=

1/8

3^4
——-
3^2
This is a fraction by the way

Answers

Answer:

9

Step-by-step explanation:

3^4= 81

3^2= 9

81/9=9

hope this helped!!!! :)

Answer:

3^4 / 3^2 =

3^2 =

9

Help someone I’ll give brainlist

Answers

Answer:

D

Step-by-step explanation:

Answer: I think B

Step-by-step explanation: Hope it helped! :)

Christie has a total of 15 pieces of fruit are bananas and apples worth $1.59 bananas are $.13 each and apples are seven cents each how many bananas and how many apples does she have

Answers

Answer:

a = apple

b = banana

a + b = 15 so a = 15 - b

0.07a + 0.13b = 1.59

substitute a = 15 - b into 0.07a + 0.13b = 1.59

0.07a + 0.13b = 1.59

0.07(15 - b) + 0.13b = 1.59

1.05 - 0.07b + 0.13b = 1.59

0.06b = 0.54

b = 0.54/0.06

b = 9

a = 15 - b

a = 15 - 9

a = 6

answer: 6 apples and 9 bananas

Step-by-step explanation:

139 students choose to attend one of three after school activities: football, tennis or running.
There are 66 boys.
56 students choose football, of which 28 are girls.
54 students choose tennis.
18 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form

Answers

Probability = no of students choose running/total no of students
= 18/139

8, 15, 20, 23, 29, 25, 30, 24, 28, 35, 32, 28, 27, 27, 25, 28, 29, 14, 22, 18 what is the outlier?

Answers

Answer:

17

Step-by-step explanation:

How many Days 'til Christmas

Answers

Answer:

13 days till Christmas

Answer:

13 days left

Step-by-step explanation:

25 - 12

= 13

what is an algebra?​

Answers

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

what is the ratio of 96:24 in simplest form

Answers

Answer:

4:1

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

Determine the answer to (−5) + 4 and explain the steps using a number line.pls help i will give 62 pints

Answers

the answer is -1 because if you start with -5 on a number line & move 4 numbers to the right (since it’s positive), you’ll land on -1

Based on what we established about the classification of x and using the closure of integers, what does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?

Answers

The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

What is a rational number?

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.

It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

For example, we can conclude that ½+√2 is irrational.

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You roll a 6 sided die. What is the probability of rolling an odd number or greater than 4?

Answers

Answer:

0.66% chance or 4/6 chance

Step-by-step explanation:

What is the slope of the line represented by 3x - 7y = 28?

Answers

Answer: 3/7

Why?
Reorganize the equation 3x-7y=28 you get
Y=3/7x-4
Because y=mx+b and m=the slope this shows that the slope is 3/7

Hope this helps :D

Evaluate
(-5)3
Mathematics

Answers

Multiply 5 by 3.-15

I hope this is right :P

The value of (-5)³ is -125.

To evaluate the expression (-5)³, we follow the order of operations, which is to perform the exponentiation first.

(-5)³ means raising -5 to the power of 3.

(-5)³ = (-5) × (-5) × (-5) = -125

Therefore, (-5)³ equals -125.

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To graph slope-intercept form, put a point at the _________, then use the _________ to rise and run

Answers

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

1. Simplify: (-6a5b+c)​

Answers

Answer:

−6a^5b+c

Step-by-step explanation:

I know you cant see it all but it says find the area of each parallelogram and it also says write an equation that represents each side of each parallelogram please help me ill put 30 pts for this one​

Answers

Answer:

I might be able to answer this if I could see the numbers for both the parallelograms. I can see it but some of the numbers are cut off.

Step-by-step explanation:

Thank you.

Answer:

Step-by-step explanation:

a.

Base=2+5=7

height=4+2=6

area=7×6=42 sq. units

eq. of base is y=-2

eq. of upper side is y=4

slope of left side is

y-(-2)=(0-(-2))/(-3-(-2))(x-(-2))

y+2=2/(-1) (x+2)

y+2=-2(x+2)

y+2=-2x-4

y=-2x-6

any line parallel to it is

y=-2x+a

(4,0) lies on it.

0=-2×4+a

a=8

eq. of right hand side is

y=-2x+8

b.

base=-3-(-7)=4

height=5-(-2)=7

area=4×7=28 sq. units.

eq. of base is

y=-2

eq. of upper side is

y=5

eq. of left side is

[tex]y-y1=\frac{y2-y1}{x2-x1}(x-x1)\\y-(-2)=\frac {5-(-2)}{0-(-7)}(x-(-7)}\\y+2=1(x+7)\\y=x+7-2\\y=x+5\\any~line~parallel~to~above~line~is \\y=x+k\\point~(0,1) ~lies~on~it.\\so~1=0+k\\k=1\\eq. of ~lie~on~the~right~side~is\\y=x+1[/tex]

The pair of points lies on the same line with the given slope. Find x.
(5,-20), (X, - 29); slope = -3
Find x.
X=
(Type an integer or a simplified fraction.)

Please help I really need to to bring up my grade before the semester ends!!!!

Answers

Can u answer my question in my profile

Simplify. Enter the answer in the box.

Please help!!!!

Answers

1.1 Simplify the radical

The milligrams of aspirin in a person's body is given by the equation a = 500 x (3/4)^t , where is the number of hours since the patient took the medicine. In the equation, what does the 500 tell us about the situation?

Answers

Answer:

m=y8+2x

Step-by-step explanation:

A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest number of work days the factory will need to make 5,000 teddy bears? Write an explanation to show how you determined your answer

Answers

Ok so if they make 15 bears every 10 mins then they will make 90 bears in one hour.

15 x 6 = 90

If they work for 8 hours then they’ll make 720 bears in one work day.

90 x 8 = 720

Let x be the number of days...

720x = 5000

5000 / 720 = 6.9444444.....

Round up because they want the least number of work days

So the answer is 7 work days

Hope this helps! Any questions let me know :)

* Find b if log, 81=4. A) 5 B) 4 C) 3 D) 2 E) !​

Answers

Answer:

B

Step-by-step explanation:

i really need help with this please!! i need it by 12:00 tonight

Answers

After the first () where it shows a minus it’s suppose to be 4x not -4x because a negative times a negative is a positive. So it’s 4x that’s where she made the mistake

Abe starts working out at a gym and begins to lose weight. His weight can be calculated using the equation y = 250 − 3x where y is his current weight and x is the number of weeks he has been working out. Which statement best describes Abe's weight loss?

Answers

Answer:

The number of weeks Abe has been working out is the independent variable in the equation.

Step-by-step explanation:

Since Abe's weight is given by the equation

y = 250 − 3x

Every increase or decrease in the value of x in the equation will invariably lead to a change in the value of y.

If for instance Abe works out 5 weeks, her weight would be:

y= 250- 3*5

y=250-15

y=235

If she works out 3 weeks, her weight would be

y=250-3*3

y=250-9

y=241

Hence y weight is dependent variable while x weeks worked out is the independent variable in the equation

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