Type the correct answer in each box. Use numerals instead of words.
Kendal is waiting at a crosswalk 540 meters away from the library. She begins riding her bike toward the library and then passes the
library at a constant rate of 6 meters/second.
Kendal will be 60 meters away from the library after
seconds and again after
seconds.

Answers

Answer 1

Answer

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

Answer 2

The answer is 80

What is Algebra?

algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

Kendal is riding at a rate of 6 meters/second

The distance to the library is 540 meters.

Let x represent time in seconds

So, kendal travel = 6x

So, distance between Kendal and the library before she passes it:

=540 − 6x.

Now, Kendal will be 60 meters away from the library.

Kendal will be 60 meters away from the library

540 − 6x= 60

-6x= 60-540

-6x= -480

x= -480/-6

x= 80

Hence, the answer is 80

Learn more about algebra here:

https://brainly.com/question/24875240

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Related Questions

Write "twenty-four and seventy thousandths" using base-ten numerals.

Answers

Answer:

24.070

Step-by-step explanation:

twenty-four and seventy thousandths

24

and means change from integers to fractions

24 70/1000

or as a decimal

24.070

How to find if it is a function or not:
The set of ordered pairs (Z,A) where z is the zip code, and A is the street address.​

Answers

Answer: It is not a function.

Step-by-step explanation:

A function is something that "eats" an input and transforms it into an output.

We write them as y = f(x)

Where x is the input, and y is the output.

Now, a function has an important rule, for each input x, the function can only "transform it" (or map it) into only one possible output.

This means that, for example, if we have, for x = x1.

And a single

f(x1) = y1

f(x1) = y2

where y1 and y2 are different values.

Then this is not a function, because it is mapping the value x1 into two different outputs.

In this case, we would have:

f(Z) = A.

So Z is the input, but we know that a ZIP code works for an entire city, and in a given city we have lots of different street addresses, then for a single value of the input, Z, we have a lot of possible values of the output.

This means taht the set (Z, A) can not represent a function.

what is 50 divided by 1

Answers

50 divided by 1 would be 50.

Solve for f.
Round your answer to 2 decimals.
9f = {(12f – 2)

Answers

Answer:

f=0.67

Step-by-step explanation:

Let's solve your equation step-by-step by isolating f.

9f=12f−2

Step 1: Subtract 12f from both sides.

9f−12f=12f−2−12f

You get:

−3f=−2

Step 2: Divide both sides by -3.

−3f/−3 = −2/−3

You get:

f= 2/3, or f= 0.67

Hope this helps! :)

14x – 34 = 11x + 29
x=

Answers

Answer:

-1.31

Step-by-step explanation:

14x - 11x - 29x = 34

-26x = 34

x = 34/ -26

x= -1.31

1. Estimate
Square root 5

Answers

Answer: 25

Step-by-step explanation: 5^2 = 25, 5x5 = 25

Hope this helps!

2.2

did that help at all

Solve the compound inequality 2.1 – 3 < 7 and 5 - 3 < 8

Answers

Step-by-step explanation:

2.1--3<7.

--0,9<7

true

5--3< 8

2<8

true

Savanna is ordering crafts for Thanksgiving for her class. Each individual craft cost $1.50. There are a shipping fee and handling fee of $10.00 per order. Why are the quantities important?

Answers

Answer:

i smell penys

Step-by-step explanation:

A class has 30 boys and 20 girls. The average age of
boys is 12 yrs and girls 12 yrs. What is the
average age of the whole class."​

Answers

Answer:

class has 30 boys and 20 girls the average age of boys is 12yr and girls 12yr

whole age of class is 12 + 12 ÷2

= 24÷2

= 12

Step-by-step explanation:

so the average of whole class is 12

Read the word problem below.

Answers

The answer is: if x represents the number of pencils per box, solve the equation 8x+4=196

Answer:

Step-by-step explanation:

Number 4

if x represent the numbers of pencils per box solve the equation 8x4=196

so,she put 4 in each box

If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?

Answers

Answer:

1.6g

Step-by-step explanation:

1 cup of tea= 0.8g

2 cups of tea= 0.8g×2= 1.6g

Please help will mark brainliest 15 points answer ASAP.

Use the graph below to fill in the blank with the correct number: (1 point)
f(1) =

Answers

Answer:

f(1) = -2

Step-by-step explanation:

Remember that when dealing with functions, it is written in the form of f(x)

We know that f(1) is the value of the function when the value of x is equal to 1

In this problem,  look on the graph to see

for x = 1

the value of the function is  f(1) = -2

Answer:

-2

Step-by-step explanation:

5. Danny is selling cornhole boards to raise money for a local charity. He rents a booth at the state fair for $250. He sells the boards for $45. It costs him $20 to make each board. How many boards must Danny sell to break even for the cost of renting a booth? *​

Answers

Answer:

10 boards

Step-by-step explanation:

$450-$250=$200. $20 * 10 boards = $200. $200-$200=0.

Therefore the answer is 10 boards

Answer:10

Step-by-step explanation:

Is 29.9 a rational, integer, whole number or all of the above?

Answers

Answer:

It is in integer

Step-by-step explanation:

An integer is any number positive or negative. A whole number would not have a decimal and if it were a rational number it could be written as a ratio.

Jenna bought 5 reams of paper at the store for a total of $21. The tax on her purchase was $1. Solve 5x + 1 = 21 to determine the price for each ream of paper.

Answers

Answer:

$4

Step-by-step explanation:

From the question we have it that jenna bought the 5 reams of paper at a price of 21

The tax on this was $1

The total cost of the paper minus tax = $20

Cost of 1 team = total cost of paper / quantity

= 20/5

From the equation

5x +1 = 21

5x = 21 -1

5x = 20

X = 20/5

X = $4

Therefore we have The cost of a team of paper to be equal to $4

Second attempt at getting this answered Please check the attachment

Answers

Answer:

Step-by-step explanation:

-18x+240 , the length of PA is 9x + 120 the length of AQ is 9x +120

The length of PQ is -18x+240

Help please. What is the value of the expression?? -16+(-25).​

Answers

The value of the expression is -41.

A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle

Answers

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the
towns can be represented by four points: A, G, M, and W. Given that M is the midpoint of AW and MG =
MA + GA, determine the
proper order of the four towns.

Answers

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

Find the distance between the points (-4, 6) and (3, -7)

Answers

Answer:

the distance between (-6,4) and (3,-8) is 15 units

What is 15 to the 7 power divided by 15 to the 4 power equal to?

Answers

Answer:

3375

Step-by-step explanation:

12 people can comfortably fit in a 4x4 foot square. Use this value to estimate the size of a crowd that is 10 feet deep on both sides of street along a 2 mile section of a parade route

Answers

hope this helps you out if i doesnt just comment and ill see what i can do

Simplify: 6-8+7-2-8+13

Answers

Answer:

The answer is 8.

Step-by-step explanation:

6-8+7-2-8+13

= (6 +7 + 13) - (8+2+8)

= 26 - 18

= 8

what is the smallest two digit positive integer such that the product of its two digits is one-half the integer

Answers

Let x be the tens and y be the ones digits.

The product of the number is then: 10x + y

The product is 1/2, so you need to multiply the product by 2 and the number:

10x + y = 2(x+y)

10x + y = 2x + 2y

Subtract 1 y from both sides

10x = 2x + y

Subtract 2x from

Both sides

8x = y

X has to be 1 , which would make y 8

The product number becomes 18

Since the product is 1/2, multiply by 2:

18 x 2 = 36

3 x 6 = 18

The answer is 36

A globe has a diameter of 14 inches. Find the volume of the globe. Round your answer to the nearest tenth.

Answers

Answer:

1436.8 in³ (nearest tenth)

Step-by-step explanation:

A globe is in the shape of a sphere.

[tex]volume \: of \: sphere = \frac{4}{3} π {r}^{3} [/tex]

Diameter= 2 ×radius

radius of globe

= 14 ÷2

= 7 inches

Volume of globe

[tex] = \frac{4}{3} π {(7}^{3} ) \\ = 1436.8 \: in^{3} \\ (nearest \: tenth)[/tex]

Step-by-step explanation:

We have given that diameter of globe (sphere) is 14 inches,Then it's radius is 14/2 = 7 inches :]

To find the volume of sphere we have to use the given below formula :]

[tex] \boxed {\underline{ \underline{\bigstar\:\: \sf Volume \: of \: sphere = \dfrac{4}{3} \pi r^3 \: \: \bigstar}}} \\ \\ [/tex]

☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}} [/tex]

[tex]:\implies \sf Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times 7 \times 7 \times 7 \: \: \bigg \lgroup \bf{putting \: \pi = 3.14} \bigg \rgroup \\ \\ [/tex]

[tex]:\implies \sf Volume \: of \: sphere = \dfrac{4}{3} \times 3.14 \times 343 \\ \\ [/tex]

[tex]: \implies \underline{ \boxed{ \sf Volume \: of \: sphere = 1436.0267 \: cubic \: inches}} \\ [/tex]

Help on these questions?

Answers

The diamond ones you multiply the two sides to get the top number and add the two sides to get the bottom. If the number are in other stops besides the two sides you must find a solution that works with the corresponding numbers. I’m not really sure about the rest. Good luck with that!

Encuentren dos números cuyo cociente sea -1 y que la resta del primero menos el segundo sea -3/2

Answers

Answer:

[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]

Step-by-step explanation:

Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2

Let two numbers are x and y. When they are divided the quotient is -1. So,

[tex]\dfrac{x}{y}=-1[/tex]

It can also be written as :

x = -y ....(1)

The subtraction of first minus the second is -3/2 .

[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]

Use equation (1) in (2),

[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]

From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]

Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].

4 b + 19 can be translated as "nineteen more than the product of 4 and a number." TrueFalse

Answers

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

4b+19

If 19 is added to 4b, then yes, it is 'nineteen more than...'

4b is a multiplication expression in itself and the term 'product' means the answer to a multiplication problem.

So the answer is true.

hope it helps!

2xy-xz=4 solve for x


Pls help due today

Answers

Hey there!

[tex]Answer:\boxed{x=\frac{4}{2y-z}}[/tex]

[tex]Explanation:[/tex]

[tex]2xy-xz=4[/tex] Solve for X

x(2y - z) Factor out the variable x

x(2y - z)/2y - z = 4/2y - z Divide both sides by 2y - z

x = 4\2y - z

Hope this helps!

Write 9.1 as a mixed number and as an improper fraction.
Do not try to simplify your answers.

Answers

Answer:  9 1/10      91/10

Step-by-step explanation:

Answer:

9 1/10 and 91/10

Step-by-step explanation:

hope it helps :)

brainliest pls? have a good day/night

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