Simplify to create an equivalent expression.

5
(
1

5
k
)

4
(
2
k
+
5
)

Answers

Answer 1

Answer:

Step-by-step explanation:

1) Distribute the numbers outside of the parenthesis to the numbers inside the parenthesis. This means multiple the outside number to all the numbers that are inside the parenthesis:
-5+25k-8k-20

2) Combine the like terms. The number with k get combined together since they both have a k. The numbers without a k get combined together. When you combine, you ADD the numbers together.

-13k+5

That should be right!


Related Questions

Simplify three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed.

−3
−2
21
24

Answers

The value of the given expression is equivalent to -3

Simplifying linear equations

Linear equations are equation that has a linear degree of 1.

The statement three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed is written mathematically as:

3/8(1+√49)² - (4-1)³

Expand to have:

3/8(1+7)² - 3³

3/8(8)² -27

3/8(64) - 27

3(8) - 27

24 - 27

-3

Hence the value of the given expression is equivalent to -3

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Which graph represents the solution set for the inequality 1xs18?
O
O
O
O
01 2 3 4 5
6
7 8 9 10
0 6 12 18 24 30 36 42 48 54 60
0 1 2
+ + +
+
3
4
4 5 6 7 8 9 10
+
0 6 12 18 24 30 36 42 48 54 60
2
k

Answers

Answer:  Graph D

The inequality solves to [tex]\text{x} \le 36[/tex]

=====================================================

Explanation:

The goal is to solve for x.

Multiply both sides by 2 to go from

[tex]\frac{1}{2}\text{x} \le 18[/tex]

to

[tex]\text{x} \le 36[/tex]

The inequality sign does not flip. It would only do so if you multiplied or divided both sides by a negative number.

The graph will have a closed filled in circle at 36, with shading to the left. This is to visually show the set of all x values that are 36 or smaller. The endpoint 36 is included in the solution set (an open hole would be used if you wanted to exclude it from the solution).

This describes Graph D

Expression for the quotient of twice a number, and the sum of the number and seven

Answers

In linear equation , 2n/7 is Expression for the quotient .

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Let the number = n

A quotient is the result of a division.

the quotient of twice a number = 2n

= 2n/7

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Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12
cents per yard. If after that purchase there was $22.84 left on the card, how many yards of ribbon did Diane buy?
yards
X
5

Answers

Answer:

The number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

Step-by-step explanation:

It is given that, Diane got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 12 cents per yard.

Now, if after that purchase there was $22.84 left on the card, let's calculate how many yards of ribbon did Diane buy in total and for that we need to;

Furthermore, based on the given conditions, we will be formulating the following;

=> (25-22.84) / 12

=> 2.16/12

=> 216/100 × 1/12

=> 9/25 × 1/2

=> 9 / (25×2)

=> 9/50

=> 0.18 yards

Therefore, the number of yards of ribbon that Diane buy in total from the prepaid debit card with $25 on it is 0.18 yards.

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Shawn took the bus from Seattle to Portland, a distance of 175 miles. If the trip took 3.5 hours, what was the speed of the bus?

Answers

Answer:

50 miles or hour

Step-by-step explanation:

SPEED= DISTANCE/TIME

SPEED = 175/ 3.5

SPEED= 50

How do you write 3 7/8 in a decimal form

Answers

Answer:

3.875

Step-by-step explanation:

The way you can do this is if you change 3 7/8 into a improper fraction.

3 7/8

To make improper fraction, you do 8x3+7 and that will be your numertor and 8 will be your denomintator. Then you will get 31/8. Now you do 31 dived by 8. That should igve you 3.875.

Let me know if this helps!! :)

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

DE+EF=DF
8x+2=x+9
8x-x=9-2
7x=7
x=7/7
x=1

DF=x+9
put the value of x
DF=1+9
DF=10

let DF become y

y = x + 9

to find x let y = 0

0 = x + 9

transpose 9

-9 = x

therefore DF = -9 as an integer

Ian drove home from college traveling an average speed of 61.5 mph and drove back to the college the following week at an average speed of 65.2 mph. If the total round trip took 11 hours, how much time did it take Ian to drive from home back to college? Express the time in hours and minutes. Round to the nearest minute.

(Blank) hours (Blank) minutes

Show your work!

Explain your answer!

Do not spam answers!

Thanks!

Answers

Time taken in hours from home to college is; 5 hours 20 minutes

How to calculate time from speed?

We are given;

Going home DATA:

Speed rate = 61.5 mph

Distance = x miles

Time taken = distance/speed = x/61.5 hrs

Going to college DATA:

Speed rate = 65.2 mph

Distance = x miles

Time taken = x/65.2 hrs

Thus, the equation set up is:

x/61.5 + x/65.2 = 11

Multiply through by (61.5 * 65.2) to get;

65.2x + 61.5x = 11 * (61.5 * 65.2)

126.7x = 44107.8

x = 44107.8/126.7

x = 348.1279 miles

Thus;

Time in hours from home to college = 348.1279/65.2

Time in hours from home to college = 5.34 hours = 5 hours 20 minutes

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The length of a rectangle is 4yd longer than its width.

If the perimeter of the rectangle is 68yd, find its length and width.

Answers

Answer:

Length= 19 yd

Width= 15 yd

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of all its sides.

Mathematically, it can be represented as below:

[tex]\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}[/tex]

Define variables used:

Let the length and width of the rectangle be L and W yards respectively.

Form an equation:

Given that the length of the rectangle is 4 yards longer that the width,

L= W +4 -----(1)

Next, form another equation using information on the perimeter.

68= 2(L +W) -----(2)

Substitute equation (1) into (2):

68= 2(W +4 +W)

68= 2(2W +4)

Divide both sides by 2:

34= 2W +4

Subtract both sides by 4:

2W= 34 -4

2W= 30

Divide both sides by 2:

W= 30 ÷2

W= 15

Substitute W= 15 into (1):

L= 15 +4

L= 19

Therefore, the length and width of the rectangle is 19 and 15 yards respectively.

Additional:

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HELP ME OUT PLEASE!!

What does the y-intercept of the graph represent?

O It was 8°F when recording began

O There is a change of 4°F every hour

O There is a change of 2 °F eve every hour

O Maximum temperature is 20°F​

Answers

Answer:

see explanation

Step-by-step explanation:

the y- intercept 8 occurs when time = 0

that is it was 8° F when recording began at time = 0

Write the number described by
I ten 16 ones.

Answers

Answer:

26

Step-by-step explanation:

10 + 26 = 26

Answer:

26

Step-by-step explanation:

1 × 10 + 16 × 1 = 10 + 16 = 26

The tank for a car holds 20 gallons . The gasoline gauge shows the tank is 2/3 full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answers

The amount of gas in the tank is 13 1/3 gallons

How to calculate the amount of gas in the tank ?

The tank of the car holds 20 gallons of gas

The gasoline gauge shows 2/3 full

The amount of gas left in the tank can be calculated as follows

= 2/3 × 20

= 40/3

= 13 1/3

Hence there are 13 1/3 gallons of fuel left in the tank

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Pls answer report if wrong

Answers

Answer:

III

Step-by-step explanation:

It is expanded by an uneven scale factor.

What is the radius of a circle with a circumference of 64 feet?

Answers

10.19 feet is the radius of a circle with a circumference of 64 feet.

A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.

Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.

A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.

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You want to buy a $193,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan for the rest.

Answers

Answer:

Down Payment = 5% of 168,000. You finance 95% of 168,000 which is the PV of your payments.

Use the same annuity formula as in your student loan question with monthly rate = 7%/12 and t=12*30 =360 months. That will give you your payment amount.

you will make 360 payments so total Payments = 360*pmt. Total Payments less principal = total interest paid.

What’s 14/20 - 81/90

Answers

Answer: -1/5

Step-by-step explanation:

14/20 - 81/90=

7/10-9/10=       ==> 10 is the GCF of 20 and 90

(7-9)/10=

-2/10=-1/5

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}[/tex]

[tex]\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}[/tex]

[tex]\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}[/tex]

[tex]\mathsf{= \dfrac{7 - 9}{10 - 0}}[/tex]

[tex]\mathsf{= \dfrac{-2}{10}}[/tex]

[tex]\mathsf{= \dfrac{-2\div 2}{10\div2}}[/tex]

[tex]\mathsf{= \dfrac{-1}{5}}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark[/tex]



[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Carry out these operations as if they were calculations of experimental results, and express each answer in the correct units and with the correct number of significant figures:
(2 × 103 g + 6.317 g) / (0.063 cm3 − 0.029 cm3) = g/cm3

Answers

Answer:

2

Step-by-step explanation:

B3jrnr2j3uiedbwbwbbw3kejr

seven and three eighths times negative one and two thirds.

Answers

Answer: -12 7/24

Step-by-step explanation:

Convert the mixed numbers to fractions (59/8 and -5/3) then multiply across to get -295/24. Simplify for -12 7/24.

Hope this helps :)

Answer: decimal -12.29  fraction -295/24

Step-by-step explanation:

Solve the formula for the specified variable.
V=BMK for B

Answers

The formula for the 'B' variable is V/MK

How to determine the expression

To solve for the variable B is to make it the subject of formula.

Subject of formula is the variable that is expressed in terms of the other variables in a given formula, expression, function or equation.

Example;

In the equation,  2x + y = 4, let's make 'y' the subject of formula

y = 4 - 2x

Given the expression;

V=BMK

To make 'B' the subject, we need to divide both sides by the coefficients of B, we have;

V/MK = BMK/MK

B = V/MK

Thus, the formula for the 'B' variable is V/MK

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What does 1/4+2/3 equal

Answers

Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\[/tex]

A town's employment statistics show that 855 of its residents were unemployed last month. This is a decrease of 25% from the previous month. How many residents were unemployed in the previous month?

Answers

Decrease of 25% means only 855 people? Okay, so you want to backtrack. If you divide by 25% you’re going to get what it was for a 75% decrease. So divide by .75 instead. 855/.75 = 1140 unemployed residents last month

How many board feet of wood are there in 750-2 x 10-16'?​

Answers

Answer:

Step-by-step explanation:

Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.

Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.

Answer:

Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.

Step-by-step explanation:

!!!100 POINTS!!! Correct answer gets brainliest.

The total payroll for a baseball team is 2.37 x 109 dollars, and the total payroll for a football team is 2.8 x 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?

4.3 x 1011 dollars
2.7763 x 1011 dollars
2.7763 x 109 dollars
0.43 x 109 dollars

Answers

Based on the total payroll of the football team and the total payroll of the baseball team, the difference is 2.7763 x 10¹¹

What is the difference in payroll?

The total payroll of the baseball team is:
= 2.37 x 10⁹

= $2,370,000,000

The total payroll of the football team is:

= 2.8 x 10¹¹

= $280,000,000,000

The difference is:

= 280,000,000,000 - 2,370,000,000

= $277,630,000,000

In scientific notation this is:

= 2.7763 x 10¹¹

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Answer:

b 2.7763 x 1011

Step-by-step explanation:

Please help simplify

Answers

Answer: B. 24

Step-by-step explanation:



The answer is B 24 so that would be the answer

Last year, Abdul opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 7.5%. How much is this decrease in dollars? How much money was in his account at the end of last year?

Answers

The amount that decreased in dollars is equal to $ 645 and the money left in the account at the end of the year is $ 7955.

The amount of investment that Abdul opened an account with = $ 8600

The amount decreased by 7.5 %.

So, the amount left will be calculated by first using the percentage to find the amount that decreased.

Amount decreased = 7.5 % of 8600

Amount decreased = 0.075 × 8600

Amount decreased = $ 645

Amount left at the end of the year = $ 8600 - $ 645

Amount left at the end of the year = $ 7955

Therefore, the amount that decreased in dollars is equal to $ 645 and the money left in the account at the end of the year is $ 7955.

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Can somone help me with thisASAP
What is the turning point of the graph of f(x)=|x|+4 ?


(0, −4)

(0, 4)

(4, 0)

(−4, 0)

Answers

The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

Given the mode function,

f(x)=|x|+4

For x < 0 the function f(x) will be

f(x) = -x + 4

For x > 0 the function f(x) will be

f(x) = x + 4

Now,

Slope at x < 0 → f'(x) = -1

Slope at x > 0 → f'(x) = +1

Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.

Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".

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all
S
ants
mber
4. FIELD TRIP The sixth-grade teachers
collected money from students during
three days for theater tickets to a
play. The ticket cost a whole number
of dollars. If every student paid the
same amount, what is the most the
tickets could cost per student?
Monday
Tuesday
Wednesday
$64
$36
$52

Answers

Answer:

Monday.

Step-by-step explanation:

total money = the cost of one day x the number of students

$64 > $52 > $36

$64 is the greatest, so the correct answer is monday.

All of my sides are the
same length. I have 4
right angles which
quadrilateral am I?

Answers

Answer:square

Step-by-step explanation: all right angles, all 90 degrees

The perimeter of the triangle shown is 89 meters. Find the length of each side.

Answers

x=14
2x=28
4x-9=47

you solve for x after you add all the sides

Greetings from Brasil...

The perimeter is the sum of all sides of the triangle. In this case

P = (2X) + (X) + (4X - 9)

as P = 89

89 = (2X) + (X) + (4X - 9)

89 = 7X - 9

7X = 98

X = 98/7

X = 14

X:

X meters = X = 14

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

2X:

2X meters = 2 · X = 2 · 14 = 28

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

(4X - 9):

(4X - 9) meters = (4 · X - 9) = (4 · 14 - 9) = (56 - 9) = 47

x 10 = 23
6+x=-11
x-5 = -5

Answers

Answer: Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!

Step-by-step explanation:

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