Wich graph represents the solution to this inequality? -1/4(12x+8)<-2x+11

Answers

Answer 1

Answer:

x > -13

Step-by-step explanation:

-[tex]\frac{1}{4}[/tex] x (12x + 8) < -2x + 11

Factor out 4 from expression

-[tex]\frac{1}{4}[/tex] x 4 (3x + 2) < -2x + 11

reduce numbers wit greatest common divisor 4

- (3x + 2) < =2x + 11

When a - is in front of parenthesis change the sign

-3x -2 < -2x + 11

Move variable to left side and change the sign

-3x + 2x -2 < 11

Move constant to the right and change the sign

-3x + 2x < 11 + 2

Collect like terms

-x < 11 + 2

add

-x < 13

Change the signs on both sides of the inequality and flip the inequality sign

x > -13

Answer 2

Answer:

x > -13

Step-by-step explanation:

-13 with the red dot and go to the right where it passes -5

            ➡️ ➡️➡️

-17 -15 -13 -11 -9 -7 -5


Related Questions

Mark packed 1 inch cubes into a box with a volume of 120 cubic inches how many layers of 1 inch cubes did mark pack

Answers

Answer:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube. 

                        120 = e³

The value of e from the equation is approximately 5. Thus, there are approximately 5 layers of 1-inch cubes. 

Read more on Brainly.com - https://brainly.com/question/3427563#readmoreStep-by-step explanation:

Emily is itemizing deductions on her federal income tax return and had $5200
in medical expenses last year. If her AGI was $43,000, and if medical
expenses are deductible to the extent that they exceed 7.5% of a taxpayer's
AGI, how much can Emily deduct for medical expenses?

Answers

Answer:

Emily can deduct $1975 for medical expenses.

Step-by-step explanation:

Emily is itemizing deductions on her federal income tax return and had $5200. Her AGI was $43,000.

We have:

The AGI is =$43,000

Medical expenses amount = $5200

If medical expenses are deductible to the extent that they exceed 7.5% or 0.075  of a taxpayer’s AGI, means  = 43,000 * 0.075 = $3225

Now the deductible amount is  = $5200 - $3225 =  $ 1975

Hence,Emily can deduct $1975 for medical expenses.

Answer:

Emily can deduct the $1,975 in medical expenses from her adjusted gross income.

Step-by-step explanation:

Before an individual could deduct medical expenses as long as they exceeded 7.5% of their adjusted gross income (currently it's 10%).

If Emily's AGI = $43,000, then she will be able to deduct medical expenses that exceed $3,225 (= $43,000 x 7.5%).

Emily's medical expense deductions = $5,200 - $3,225 = $1,975.

If this situation happened this year, Emily would have only been able to deduct $900  [= $5,200 - ($43,000 x 10%)]

|x−5|=2x |x−5|=2x .

Answers

Answer:

x=-5,x=5/3 Brainliest please? Thank you! <3

Step-by-step explanation:

x-5=2x ~ x-5=-2x

-5=x ~ x=5/3

Possible answer 1: x - 5 =2x

Subtract 2x from both sides
x−5 -2x =2x−2x
-x -5= 0
Add 5 to both sides.
-x -5 +5 = 0 +5
-x= 5
Divide both sides by -1.
-x/-1= 5/-1
X= -5
Possible answer 2: x -5 = -2x
Add 2x to both sides.
X -5 +2x = -2x +2x
3x -5 = 0
Add 5 to both sides.
3x -5 +5= 0+5
3x= 5
Divide both sides by 3.
3x/3= 5/3
X=5/3

These two are the possible answers but check if they work: x= -5, x= 5/3.
Plug them in the equation.
|x-5| =2x
Possible Answer 1: |-5-5| =2x
|-10|=2x
10=2x
Divide both sides by 2.
10/2=2x/2
5=x
This means the answer x=-5 doesn’t work since the result ended up being a positive 5. Thus, this is not a solution.

Possible answer 2: |5/3-5| =2x
5/3 subtracted by 5 is -10/3.
|-10/3| = 2x
10/3 =2x
Divide both sides by 2.
(10/3)/2= 2x/2
5/3 = x
This means the solution x=5/3 works. Thus, a solution.

The first one doesn’t work but the second one does. So that means possible answer 2 is the answer.

Answer: x= 5/3
I hope this is helpful.

Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true? A lines has points A, D, B, K, and C. DB = BK B is the midpoint of AC. D bisects AK. AK + BK = AC

Answers

Answer:

D

Step-by-step explanation:

Estimate the sum.
3,982+4,592​

Answers

Step-by-step explanation:

3,982 can be rounded to 4,000

4,592 can be rounded to 4,600

4,000 + 4,600 = 8,600

Answer:

8574

Step-by-step explanation:

Find a solution to the linear equation y=−4x+36 by filling in the boxes with a valid value of x and y.

Answers

Answer:

A solution would be:

[tex](1,32)[/tex]

Step-by-step explanation:

This is a linear equation written in Slope-Intercept form. Recall that this form, in general, is written as follows:

[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:slope \\ \\ b:y-intercept[/tex]

In this case, we have the following equation:

[tex]y=-4x+36 \\ \\ \\ Where: \\ \\ m=-4 \\ \\ b=36[/tex]

In order to find a solution, let's set [tex]x=1[/tex], so the y-value will be:

[tex]y=-4(1)+36 \\ \\ y=-4+36 \\ \\ y=32[/tex]

So, a  solution to the linear equation is the point [tex](1,32)[/tex]

Final answer:

The solutions to y = -4x + 36 are x = 3 resulting in y = 24, and x = -7 resulting in y = 64, both of which have been verified to be correct by substitution back into the original equation.

Explanation:

To find a solution to the linear equation y = -4x + 36, we can substitute any value for x and solve for y, or vice versa. Let's use the given solutions x = 3 and x = -7 to find the corresponding values for y.

Substitute x = 3 into the equation: y = -4(3) + 36, which simplifies to y = -12 + 36, resulting in y = 24.

Substitute x = -7 into the equation: y = -4(-7) + 36, which simplifies to y = 28 + 36, resulting in y = 64.

To check the validity of these solutions, we back-substitute them into the original equation. For x = 3, the equation becomes 24 = -4(3) + 36, which simplifies to 24 = 24, confirming the first solution. Similarly, for x = -7, the equation becomes 64 = -4(-7) + 36, simplifying to 64 = 64, confirming the second solution. Both substitutions lead to an identity, verifying the correctness of the solutions.

5. Consider the following two sets of incomes. Each income is in thousands of dollars
per year.
Group 1: 32, 36, 38, 39, 42, 43, 44, 47, 49, 50
Group 2:32, 36, 38, 39, 42, 43, 44, 47, 49, 150
a. Find the average or mean salary for each group.
b. How does an extreme value affect the mean?
c. Do you think the mean of the second group is a good indication of the typical
salary in that group? Explain.

Answers

mean is all of the numbers added up and then divided by the number of the numbers. so for example; 32+36+38+39+42+43+44+47+49+50 divided by 10 do that and then group 2, and if you already know how to do that then answer the questions

a:

Mean is found by adding all the numbers in a data set, then dividing by the amount of numbers added.

Group 1 Mean: 42

Group 2 Mean: 52

b:

The only extreme value in these data sets is 150. An extreme value makes a mean that makes no sense. It distorts it.

c:

No. Group 2 is not a good indication of the typical salary in the group. It has a value that is a lot higher than all the other salaries in the group.  

Can you make a triangle with the following side lengths: 1 in, 2 in, 5 in ?

Answers

Answer:

No, because the two shorter sides added must be longer than the longest side.

Also 1 squared plus 2 squared is not equal to 5 squared.

-1/7(14+28p)-13=4(1/2p-3)-6p

Answers

Answer:

No Solution

Step-by-step explanation:

-1/7(14+28p)-13=4(1/2p-3)-6p

-2-4p-13=2p-12-6p

rearrange the question so like terms are next to each other

-2-13-4p=2p-6p-12

-15-4p=-4p-12

add 12 to both sides

-3-4p=-4p

add 4p to both sides

-3=0

No solution

Answer:

something is wrong in the equation

Step-by-step explanation:

How to solve

-3(x+4)=-15

Answers

Answer:

x=1      -3(1+4)=-15

Step-by-step explanation:

-3(x+4)=-15

---------------

-3         -3

x+4= 5

  -4=-4

x=1

That should be right

-3(x+4)=-15

mutiply the bracket by -3

(-3)(x)= -3x

(-3)(4)=-12

-3x-12= -15

move -12 to the other side

sign changes from -12 to +12

-3x-12+12= -15+12

-3x= -15+12

-3x= -3

divide both sides by -3

to get + x and by itself

-3x/-3= -3/-3

Answer:

x= 1

emily and how are selling wrapping paper for a school fundraiser. customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. emily sold 14 rolls of plain wrapping paper and 6 rolls of holiday wrapping paper for a total of $248. joe sold 10 rolls of plain wrapping paper and 12 rolls of holiday wrapping paper for a total of $316. find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper.

Answers

1 plain=$10
1 holiday=$18

i just played around w my numbers until i found it, but you should probably do (14•10)+(18•6)=140+108=248
and
(10•10)+(18•12)=100+216=316

The cost of one roll of plain wrapping paper is found to be $10, and one roll of holiday wrapping paper is $18.

We have two equations based on the given information:

Emily's sales: 14 rolls of plain wrapping paper + 6 rolls of holiday wrapping paper = $248

Joe's sales: 10 rolls of plain wrapping paper + 12 rolls of holiday wrapping paper = $316

Using algebra to solve the system, we represent the cost of one roll of plain wrapping paper as p, and the cost of one roll of holiday wrapping paper as h. Thus, the equations become:

14p + 6h = 248

10p + 12h = 316

We use the method of substitution or elimination to find the value of p and h. For instance, using elimination, we can multiply the first equation by 2 to make the coefficients of h the same:

(14p + 6h) * 2 = 248 * 2

28p + 12h = 496

Then we subtract the second equation from this new equation:

(28p + 12h) - (10p + 12h) = 496 - 316

18p = 180

p = $10

With the cost of plain wrapping paper found, substitute p = $10 into one of the original equations to find h:

10 * 10 + 12h = 316

12h = 216

h = $18

The cost of one roll of plain wrapping paper is $10, and the cost of one roll of holiday wrapping paper is $18.

A board is 85cm in length and must be cut so that one piece is 11cm longer than the other piece . Find the length of each piece. Round your answers to the nearest centimeter , if necessary.
What is the length of the smaller piece ?
What is the length of the larger piece ?

Answers

The shorter piece is 37 cm

The longer piece is 48 cm:

Step-by-step explanation:

Divide 85 cm by 2 = 42.5

Divide 11 cm by 2 = 5.5

Add them together = 48 cm

85 cm - 48 cm = 37 cm

Length of 1st piece = 37 cm

Length of 2nd piece = x + 11 = 37 + 11 = 48 cm

Now -

Length of smaller piece = 37 cm

Length of larger piece = 48 cm

We have a board which is 85cm in length and must be cut so that one piece is 11cm longer than the other piece.

We have to find the length of each piece, length of the smaller piece, length of the larger piece.

The sum of three numbers such that the next number is 'n' times more than the previous number is 99. Express 'n' as a function of the very first number (say x).

Now -

x + (x + n) + (x + 2n) = 100

3x + 3n = 99

x + n = 33

n = 33 - x

According to the question, we have -

Length of board = 85cm.

Assume that the length of first piece be x. Then -

x + ( x + 11 ) = 85

2x + 11 = 85

2x = 74

x = 37

Hence -

Length of 1st piece = 37 cm

Length of 2nd piece = x + 11 = 37 + 11 = 48 cm

Now -

Length of smaller piece = 37 cm

Length of larger piece = 48 cm

To solve more questions on length estimation, visit the link below-

https://brainly.com/question/12391991

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Please I really need help with this one

Answers

Answer:

C

Step-by-step explanation:

Given the complex number a ± bi, then the complex conjugate is

a ∓ bi

Note the real part remains unchanged while the sign of the imaginary part is reversed, thus

The conjugate of 7 - i  is 7 + i → C

Answer:

○ C 7 + i ohms

Step-by-step explanation:

Conjugates are expressions with OPPOSITE operation symbols, so the conjugate of 7 - i is 7 + i.

I am joyous to assist you anytime.

7) Katie is baking muffins for a picnic. She can bake 24 muffins in 45 minutes. At this rate, how
many muffins can she bake in 90 minutes and how do you know?

Answers

So to find out how many muffins she can bake per minute, you would divide 45 by 24 and that would equal 1.875 muffins per minute. So she would be able to make 168.75 muffins in 90 minutes. By what I would guess, you would round down or else you would go over the time frame needed. In the end, you would be able to make 168 muffins.

Answer:

Katie can bake 48 muffins in 90 minutes.

Step-by-step explanation:

So, as you can see, it says she can bake 24 muffins in 45 mins. Some you make that a fraction:

24/45. The question asks how many muffins she can bake in 90 mins. So, next to the first fraction (proportion) write x/90.

Why x? Because you don't know how many muffins she made, so you'll use that to replace the number for now. X is the numerator because on the last proportion, you put the number of minutes as the denominator. X= how many muffins Katie baked.

So, you cross multiply. Multiply one numerator by the others denominator. Like this: 24×90 and 45×X. Write the answers under the denominator (Ex: 24 X

45 90

-----------

45x = 2160

Now, separate the variable (x) and the constant (45). To do something you must divide. Divide it by 45 to get x. Then, place your equal sign on the right side of that. Now, whatever you do to one side of the equal sign you must do to the other. So, divide 2160 by 45. If done coorectly, you should've gotten 48. X=48 muffins. Therefore, Katie baked 48 muffins.

Sorry about the length! I kinda got carried away lol

Also, for the explanation for how you know, my work above should explain that.

Well, I hope I was helpful!

Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.
a. How many boxes will be needed for Polly to bring all the cupcakes to the party? Explain how you know.
b. If the bakery completely fills as many boxes as possible, what fraction of the last box is empty? How many more cupcakes are needed to fill this box?

Answers

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is [tex]\frac{1}{2}[/tex]

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

[tex]\frac{14}{4}=3.5\ box[/tex]

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

[tex]14-3(4)=2\ cupcakes[/tex]

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

[tex]\frac{2}{4}=\frac{1}{2}[/tex]

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

[tex]4-2=2\ cupcakes[/tex]

therefore

Are needed 2 cupcakes to fill the last box

How does the value of the digit 2 in the number 32,000 compare with the value of the digit 2 in the number 26,000?
*Explain ur answer*

Answers

Answer:

the second value is ten times higher then the refference one

The value of the digit 2 in the number 32,000 is greater than the value of the digit 2 in the number 26,000 by a factor of 10.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The value of a digit in a number depends on its place value.

In the number 32,000, the digit 2 is in the ten thousands place, which has a value of 20,000.

In the number 26,000, the digit 2 is in the thousands place, which has a value of 2,000.

Therefore,

The value of the digit 2 in the number 32,000 is 10 times greater than the value of the digit 2 in the number 26,000.

This is because the ten thousands place is 10 times greater than the thousands place.

In other words,

The digit 2 in the number 32,000 represents 20,000 while the digit 2 in the number 26,000 represents only 2,000.

Thus,

The value of the digit 2 in the number 32,000 is greater than the value of the digit 2 in the number 26,000 by a factor of 10.

Learn more about expressions here:

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A 9-member teams plans to run a 4 mile race distance markers are placed on the racecourse every 0.25 mile.

Answers

Answer:

Place an x at every hash listed

Step-by-step explanation:

The reason being they are listed at 0, then 0.25, then 0.5, and so forth. The x's represent the exchanges so the hashes make a mark at every 0.25 miles

There are 7 red, 8 green, and 6 blue marbles
in bag. Kate is going to select one marble at
random. What is the probability that she will
select a green or blue marble?

Answers

(8+6)/(7+8+6)
=14/21
=0.67
=67%

Answer:

14/21

Step-by-step explanation:

Total marbles = 7+8+6 = 21

7 Red

8 Green

6 Blue

Probability of choosing Red = 7/21

Probability of choosing Green = 8/21

Probability of choosing Blue = 6/21

Probability of choosing Green or Blue = 8/21 + 6/21 = 14/21

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.


x g(x)
1 −5
2 −6
3 −7

x g(x)
1 5
2 6
3 7

x g(x)
1 −10
2 −12
3 −14

x g(x)
1 −14
2 −16
3 −18

Answers

Answer: THIRD OPTION.

Step-by-step explanation:

Since  [tex]g(x) = -2f(x)[/tex], then [tex]g(x)[/tex] is:

[tex]g(x)=-2( x + 4)\\\\g(x)=-2x-8[/tex]

In order to find which table represents [tex]g(x) = -2f(x)[/tex] when [tex]f(x) = x + 4[/tex], you can follow these steps:

1. Substitute [tex]x=1[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(1)=-2(1)-8\\\\g(1)=-10[/tex]

2. Substitute [tex]x=2[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(2)=-2(2)-8\\\\g(2)=-12[/tex]

3. Substitute [tex]x=3[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(3)=-2(3)-8\\\\g(3)=-14[/tex]

Notice that those ouput values (for [tex]x=1,\ x=2[/tex] and [tex]x=3[/tex]) matches with the table provided in the third option. That table represents [tex]g(x) = -2f(x)[/tex] when [tex]f(x) = x + 4[/tex]:

Answer: C.                                                                                                             x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation: i took the test babes

To dilate a pre-image about a point by a scale factor of 1/3, which of the following is a good step?

A) Make sure all the angles are 1/3 the size of the pre-image with the point of dilation in the center.
B)Pick a vertex, go the the dilation point and then go 1/3 of the distance on the same line to plot the image vertex.
C)Pick an angle and make sure the image vertex is 1/3 as wide.
D)Pick a side of the pre-image and cut it by 1/3, then do the same for all sides

Answers

Answer:

Step-by-step explanation:

D), and A

Answer:

Option A) Make sure all the angles are 1/3 the size of the pre-image with the point of dilation in the center.

Step-by-step explanation:

In order to dilate an image, it is necessary that the angles are all of the equal size and magnitude. This makes the dilation of the pre-image easier

-3^2 - 1^2 -(-2)^3+(-1)^2-(-1-5)^3

Answers

Answer: 215

Step-by-step explanation:

what is the answer to (3n-4)5

Answers

15n -20

Good luck!! :)

Answer:2

Step-by-step explanation:

Solve the equation for x in terms of c.

Answers

Answer:

x, 2/3(cx+1/2)- 1/4= 5/2 : x= 29/8c; c \neq 0

Step-by-step explanation:

D. The value of x in terms of c is  [tex]x=\frac{29}{8c}[/tex]

What is the value of x ?

The given equation is [tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}=\frac{5}{2}[/tex]

Solving we get,

First we have to add 1/4 in both sides,

[tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{5}{2}+\frac{1}{4}[/tex]

⇒ [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{10+1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{11}{4}[/tex]

⇒  [tex](cx+ \frac{1}{2})=\frac{11}{4}*\frac{3}{2}[/tex]

⇒ [tex](cx+\frac{1}{2} )=\frac{33}{8}[/tex]

⇒ [tex]cx = \frac{33}{8} -\frac{1}{2}[/tex]

⇒ [tex]cx = \frac{33-4}{8}[/tex]

⇒ [tex]cx=\frac{29}{8}[/tex]

⇒ [tex]x=\frac{29}{8c}[/tex]

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A rectangle has a length of 30 cm and
height of 53 mm. What is the perimeter
of this rectangle in centimeters?​

Answers

Final answer:

The perimeter of the rectangle is calculated using the formula P = 2l + 2w, converting the height from millimeters to centimeters and then applying the values to get a perimeter of 70.6 cm.

Explanation:

To calculate the perimeter of a rectangle, we use the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. In this case, the rectangle's length is given as 30 cm, but the height (which can be considered as the width in the context of the perimeter) is given in millimeters. First, we need to convert the height to centimeters by dividing the number of millimeters by 10, because there are 10 millimeters in a centimeter. So, 53 mm is equivalent to 5.3 cm. Now, we apply the formula to find the perimeter:

P = 2 × 30 cm + 2 × 5.3 cm = 60 cm + 10.6 cm = 70.6 cm.

Therefore, the perimeter of the rectangle is 70.6 cm.

You and your family are planning the vacation of a lifetime around the world that would cost 25,000.You borrowed this amount from your bank with an annal interest rate of 10.5%.You decide to pay it back in 5 years.What is the interest that will accrue on this loan

Answers

Answer:

238.095238 is correct

Answer:$13,125

Step-by-step explanation:

At a home improvement store, you
decide to purchase a hammer and
a pack of nails. The hammer costs
$8.53. The pack of nails costs $0.87.
What is the total cost? How much
change will you receive if you pay
with a $10 bill? a $20 bill?

Answers

Answer:

$9.40, $0.60, $10.60

Step-by-step explanation:

$8.53 + $0.87 = $9.40

$10 - $9.40 = $0.60

$20 - $9.40 = $10.60

Answer:

8,53+0,87=$9,40

if you pay $10 - 9,40 = $0,60 ( you will get $0,60 back )

if you pay $20 -9,40 = $10,60 ( you will get $10,60 back )

Step-by-step explanation:

What is the rate of change for the interval between A and B?

Answers

The slope of this graph is rise over run which means how much your distance x has between the 2 points and how much y increased between those 2 points. So it starts at (1,-2) and ends at (2,1). So x had a run of 1 and y had a rise of 3 we have 3/1 which is equivalent to 3, so the answer would be B.


Equations!!

Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away
initially and save $20 every month. The second option is to put $200 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?

After
months,___ Tina will save $
with either option___

Answers

Answer: Month 10

If you do 400 + (20 x 10) you get 600

If you do 200 + (40 x 10) you get 600

Hope this helps!

27. Isiah is 3 years younger than twice Jack's age. Kaleb is 4 times Isiah's age. Write a variable expression to represent Isiah's age and then another to represent Kaleb's age.

Answers

Isiah=i
Jack=j
Kaleb=k

i=2j-3
k=4i
Final answer:

To represent Isiah's age, the variable expression is I = 2J - 3. To represent Kaleb's age, the variable expression is K = 4I.

Explanation:

To write a variable expression for Isiah's age, we start by defining a variable. Let's call Isiah's age 'I'. We are given that Isiah is 3 years younger than twice Jack's age, which can be written as 2J - 3. So, the variable expression for Isiah's age is I = 2J - 3.

To write a variable expression for Kaleb's age, we know that Kaleb is 4 times Isiah's age. Therefore, Kaleb's age can be represented by the variable expression K = 4I, where 'K' represents Kaleb's age and 'I' represents Isiah's age.

Let Jack's age be represented by a variable, let's say j. To express Isiah's age in terms of Jack's age, we use the information given in the question. Isiah is 3 years younger than twice Jack's age, so we can write the expression for Isiah's age as 2j - 3. Following that, we can represent Kaleb's age as being 4 times Isiah's age, which can be expressed as 4(2j - 3).

Write 175% as a fraction and as a decimal​

Answers

Answer:

As a fraction: 7/4

As a decimal: 1.75

Hope this helps!

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