Tory and her friend Terrence ride their bikes to school each day. On one particular day, Tory started out 5 minutes before Terrence. Tory rides at a rate of 880 feet per minute and Terrence rides at a rate of 1.056 feet per minut
How long had Tory been riding when Terrence caught up with her?

Answers

Answer 1

Answer:

4:30 minutes im thinking

Step-by-step explanation:

Answer 2

The value is  30 minutes. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression.

What is meant by expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The expression that give us the distance that Tory has ride after t minutes is:

D = 880t

Because Tory rides at 880 feet per minute.

At the same way, the distance that Terrence has ride after t minutes is equal to:

D = 1056(t - 5)

Because Terrence rides at 1056 feet per minute and he starts out 5 minutes after Tory

Now, we need to find t when both expressions are equal, so we can formulate the following equation:

[tex]880t=1056(t-5)[/tex]

So, solving for t, we get:

[tex]880t=1056t - 1056.5[/tex]

[tex]880t=1056t - 5280[/tex]

[tex]880t=1056t =-5280[/tex]

[tex]-176t=-5280[/tex]

[tex]t=-5280/-176[/tex]

[tex]t= 30[/tex]

Therefore the answer is 30 minutes

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Related Questions

44% of ten is what number

Answers

the answer should be 4.4

Answer:

4.4

Step-by-step explanation:

You have to turn 44% into a decimal which will be 0.44

Then multiply 0.44 by 10

0.44*10

4.4

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?

Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132

a.$12 per month
b.$18 per month
c.$24 per month
d.$36 per month

Answers

Answer:

The answer is C., $24 per month.

Answer:

A $12

Step-by-step explanation:

she has saved $36 before she gets a part time job, after 2 months, her savings have increased from 36 to 60. 2 months = 60 - 36, 2 months = 24. now we divide 24 by 2, and the answer is 12. option A is correct.

PLEASE HELP! I WILL MAKE YOU BRAINLIST!

Answers

Answer:

micro organism

Step-by-step explanation:

2^n-5×5^n-4=5

Please help me
I will mark as brainist
please do the sum in a paper and post...​

Answers

[tex]\huge{\fbox{\sf{n=5 }}}[/tex]

Step 1:

[tex]⇒ {2}^{n - 5} \times {5}^{n - 4} = 5[/tex]

Step 2:

[tex] ⇒{2}^{n - 5} \times {5}^{n - 4} = {5}^{1} \times {2}^{0} [/tex]

On comparing values we get:

Taking:

[tex] {2}^{n - 5} = {2}^{0} [/tex]

n-5=0

n=5

or

Taking:

[tex] {5}^{n - 4} = {5}^{1} [/tex]

n-4=1

n=5

The price of gas rose from $2.40 per gallon in January to
$3.00 per gallon in April. What was the percent increase
based on the original price?
A. 20%
B. 25%
C. 60%
D. 80%

Answers

Answer:

Step-by-step explanation:

The answer is 25%

25% of 2.40= 0.6 3.00-0.6= 2.4 just ad a 0 so 2.40

Answer is 25%

Find the value of x in the equation without evaluating the power

Answers

Step-by-step explanation:

a)2^8=256

2^5*2^x=2^8

5+x=8

x=8-5

x=3

b)(1/3)^6

(1/3)^2*(1/3)^x=(1/3)^6

2+x=6

x=6-2

x=4

therefore the value of x in a is 3

and the value of x in b is 4

hope it helps u...pls mark it as the brainliest answer..

a) The value of x is 3

b) The value of x is 5

Powers and indices

Given the expression [tex]2^5\cdot 2^x = 256[/tex]

Using the law of indices, the equation becomes;

[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]

Hence the value of x is 3

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]

Hence the value of x is 5

Learn more on indices here: https://brainly.com/question/10339517

Gabriel is raising money for a school trip by selling lollipops and bags of chips. The
price of each lollipop is $1 and the price of each bag of chips is $1.50. Yesterday
Gabriel made $30 from selling a total of 26 lollipops and bags of chips. Graphically
solve a system of equations in order to determine the number of lollipops sold, 2,
and the number of bags of chips sold, y.

Answers

The Answer is A................

Answer:

There will be 2 bags of chips sold

Step-by-step explanation:

A system of equation is a collection of one or more equation involving the same variables.

Now , according to question :

since , he had sold 26 lollipop , then total money he made from lollipop is : 26 * $1 = $26

Let us assume he sold x number of chips

money made from chips = $ 1.50 * x

Total money made : $30                          (Given )

equation according to question will be

26 + 1.50 x = 30

x= 2.7

Since , number of packets  can never be in decimal hence, rounding off to 2 packets

x= 2

Learn more about system of equation:

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A package of 6 insulated gloves cost $50.94. what is the unit price of the pair of gloves.

Answers

Answer:

i think your answer would be $8.49 for a pair of gloves.

Step-by-step explanation:

50.94 / 6 = 8.49

whats the answer to this?

Answers

Answer:

5

Step-by-step explanation:

Add the two coordinates and divide by 2.

-2 + 12 = 10

10/2 = 5

Answer: 5

numbers are (-20,10) and (40,-50)​

Answers

Hdbanwlsksmaakdicjcjdndisisushshsudhehehhs

On a coordinate plane, Broadway is 4 units to the right and 4 units up. Empire State Building is 1.50 units to the right and 1 unit up. Brooklyn Bridge is 5 units to the left and 4.5 units down. Statue of Liberty is 4 units to the left and 3.5 units up. Which ordered pairs show the location of the Empire State Building? Check all that apply. (1 and one-half, 1) (1, 1 and one-half) (–1.5, –1.0) (1.5, 1.0) (1.0, 1.0)

Answers

Answer:

upove is correct

Step-by-step explanation:

hehe

The area of a rectangular garden is 105 ft^2. Find the length if the width is 7ft.​

Answers

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{15 \: ft}}}}[/tex]

Step-by-step explanation:

[tex] \text{Given} : [/tex]

[tex] \rm{Area \: of \: a \: rectangular \: garden \: = 105 \: {ft}^{2} }[/tex]

[tex] \rm{Width\: of \: a \: rectangular \: garden \: = \: 7 \: ft}[/tex]

[tex] \underline{ \rm{Finding \: the \: length \: of \: a \: rectangular \: garden}} : [/tex]

[tex] \boxed{ \rm{Area \: of \: a \: rectangle \: = \: Length \: \times \: Width}}[/tex]

[tex] \rm{➳ \: 105 = 7 \: Length}[/tex]

[tex] \rm{➳ \: 7 \: Length \: = 105}[/tex]

[tex] \rm{➳ \: \frac{7 \:Length}{7} = \frac{105}{7} }[/tex]

[tex] ➳ \boxed{ \rm{ \: Length \: = \: 15 \: ft}}[/tex]

[tex] \text{The \: Length \: of \: a \: rectangular \: garden \: is \boxed{ \rm15 \: ft}}.[/tex]

[tex] \text{Hope \: I\: helped!}[/tex]

[tex] \rm{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

In the figure below, OS=ST and the coordinates of T are (k, 5). What is the value of K?
F. -5
G. -3
H. - 2
J. 0
K. 5

SHOW EXPLANATION

Answers

Answer:

Option (K)

Step-by-step explanation:

From the figure attached,

Coordinates of the point T(x, y),

x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.

If OS = ST, x and y coordinates should be same in measure.

For the point (k, 5),

OS = 5 and ST = k

Since, OS = ST,

Therefore, k = 5

Option (K) will be the correct option.

The magnitude $M$ of an earthquake is measured using the formula $M=\log(\frac{x}{c})$ , where $x$ is the measured amplitude of a seismic wave and $c$ is the reference amplitude of one micron. Two earthquakes are measured. The amplitude of a seismic wave in the first earthquake is 15 times the amplitude of a seismic wave in the second earthquake. How much greater is the magnitude of the first earthquake than the second earthquake? Round your answer to the nearest hundredth.

Answers

Answer:

1.18

Step-by-step explanation:

Given the Magnitude of an earth quake model :

M = log(x/c)

x = measured amplitude ; c = reference amplitude

Amplitude of seismic wave in first earthquake = 15 amplitude of seismic wave in second

Let amplitude of seismic wave in first earthquake = x1

amplitude of seismic wave in second earthquake = x2

x1 = 15 * x2 = 15x2

Hence ;

1st earthquake magnitude :

M1 = log(a/c)

2nd earthquake magnitude :

M2 = log(15a/c)

M1 - M2

Log(x1/c) - log(x2/c)

Using the quotient rule

Log(x1) - log(c) - [log(x2) - log(c)]

Log(x1) - log(c) - log(x2) + log(c)

Log(x1) - log(x2)

Substituting x1 = 15x2

Log(x1) = log(15x2)

Seperating using product rule:

Log(x1) = log(15*x2) = log(15) + log(x2)

Hence,

log(15) + log(x2) - log(x2)

Log(15) - 0

= 1.1760

= 1.18 (nearest hundredth)

FIRST ANSWER GETS BRAINLIEST! PLEASE HURRY!

The area of a rectangle is 45 square units. The length is 15 units and the width is z units.

Area = length x width

What is the value of z?

Answers

Answer:

z = 3 units

Step-by-step explanation:

45 ÷ 15 = 3

Step-by-step explanation:

A is wl

45 = 15 x z

45 = 15z

3 = z

Onya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Part B: Katie selected a pair of shoes for the regular price of $120. After the 20% off discount is applied, what will be the discounted cost of the shoes (before tax)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.

Answers

Answer:

a. [tex]Savings = \$16[/tex]

b. [tex]Price = \$96[/tex]

Step-by-step explanation:

Solving (a):

[tex]Price = \$80[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine her savings.

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$80[/tex]

[tex]Savings = \$16[/tex]

Solving (a):

[tex]Price = \$120[/tex]

[tex]Coupon = 20\%[/tex]

Required

Determine the price before tax

First, we need to determine her savings

[tex]Savings = Coupon * Price[/tex]

[tex]Savings = 20\% * \$120[/tex]

[tex]Savings = \$24[/tex]

The price before tax is calculated as follows:

[tex]Price = \$120 - \$24[/tex]

[tex]Price = \$96[/tex]

A slope of 2/3 and a y-intercept of -9/7?

Answers

Answer:

Slope intercept form:

[tex]y = \frac{2}{3}x - \frac{9}{7}[/tex]

Answer:

y = 2/3x - 9/7

Step-by-step explanation:

If you want the slope intercept form:

y = 2/3x - 9/7

       ^         ^

   slope   y-intercept

-5 2/3 - 1/6 please help

Answers

Answer:

-5 5/6

Step-by-step explanation:

I just used my calculator.

ANSWER:
-5 5/6
EXPLANATION:
i used my calculator hehe

eh what is 2(h + 1) =5h - 7​

Answers

Answer:

h=3

Step-by-step explanation:

parallel to the line x-2y=-5 containing the point (0,4)​

Answers

Answer:

y = x/2 + 4

Step-by-step explanation:

When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.

Please help!! ASAP!! Math Help!k

Answers

[tex]f(x) = 4x^3 + Ax^2 + 2x - 5[/tex]

[tex]f(2) = 5[/tex]

[tex]5 = 4 \cdot 2^3 + A \cdot 2^2 + 2 \cdot 2 - 5\\5 = 4 \cdot 8 + 4A + 4 - 5\\5 = 32 + 4A + 4 - 5\\5 - 32 - 4 + 5 = 4A\\-26 = 4A\\A = \frac{-26}{4} = -\frac{13}{2} = -6.5[/tex]


Suppose a group of dancers performed the Round Dance at an Indigenous Peoples' Day
celebration. If the circumference of the circle was 44 feet, what was the diameter of the circle?

Answers

Answer:

4.27 meters

Step-by-step explanation:

If $7,300 is invested in an account that offers 7% interest compounded semi-annually, how much money is in the account after 3 years?

Answers

Answer:

The answer to your question is $8973.56

Step-by-step explanation:

Two points are plotted on the number line.

Answers

Answer:

-2/3+1/3= - 1/3

Step-by-step explanation:

if you look at the number line you just go once to the right

-4/5 + 33/10 Write your answer as a mixed number in simplest form.

Answers

Answer:

2 1/2

Step-by-step explanation:

−45+3310=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-4/5, 33/10) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−45×22)+(33/10×11)=?

Complete the multiplication and the equation becomes

−8/10+33/10=?

The two fractions now have like denominators so you can add the numerators.

Then:

−8+33/10=25/10

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using

GCF(25,10) = 5

25÷5/10÷5=5/2

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

−4/5+33/10= 2 1/2

What is the slope between the points (3,2) and (-1,10)?
Will mark brainliest

Answers

Answer:

m = slope = -2

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2[/tex]

Hope this helped! :)

PLEASE HELP AND EXPLAIN!! I will mark brainliest <3

Answers

Answer: AB is 40

Step-by-step explanation: CD=CE+ED ED is 5 and it is also the midpoint meaning it is 1/2 of the value of the line. Therefore CD is 10, BC=BD+CD CD as we know is 10 and D is the mid point meaning it is also 1/2 of the value of BC. 10+10=20, AB=AC+BC, BC is 20 so AC must also be 20;therefore AB is 40

Evaluate the expression.
17 * (-12 + 10)?

Answers

Answer:

-34

Step-by-step explanation:

First do what’s in the parentheses then what’s on the outside so
-12+10=-2
17(-2) multiply
The answer is -34

6^4*6^3 equivalent equation

Answers

Equation Given:

6⁴×6³

Step by step explanation:

Step 1:

[tex] {6}^{4} \times {6}^{3} [/tex]

Step 2:

[tex] = 1296 \times 216[/tex]

Step 3:

[tex] = 279936✓[/tex]

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

[tex]{6}^{4} \times {6}^{3} [/tex]

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex] {6}^{4} \times {6}^{3}\\

=>{6}^{(4 + 3)} \\

=>{6}^{7}\\

=>6×6×6×6×6×6×6\\

=>36×36×36×6\\

=>279936\ is\ answer..[/tex]

Determine 2 additional fractions that would reduce to one fourth?

Answers

Answer:

2/8, 4,16

Step-by-step explanation:

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