On Monday Mark ran for a distance of [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of [tex]\frac{106}{15}[/tex] miles.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
It is given that on Monday , Mark ran [tex]1\frac{1}{3}[/tex] miles to school and then [tex]2\frac{1}{5}[/tex] miles to his grandmother's house.
This meant the total distance he ran on Monday can be calculated by adding both the distances he travelled on the particular day i.e.,
= [tex]1\frac{1}{3}[/tex] miles + [tex]2\frac{1}{5}[/tex] miles
= [tex]\frac{4}{3}[/tex] miles + [tex]\frac{11}{5}[/tex] miles
Now , to add two fractions we need to equal denominator.
= [tex]\frac{20+33}{15}[/tex]
= [tex]\frac{53}{15}[/tex] miles
Now , on Tuesday he ran twice as much as Monday. So , the distance he ran on Tuesday is equal to :
= 2 × [tex]\frac{53}{15}[/tex] miles
= [tex]\frac{106}{15}[/tex] miles
Therefore , on Monday Mark ran for a distance of [tex]\frac{53}{15}[/tex] miles and on Tuesday he ran for a distance of [tex]\frac{106}{15}[/tex] miles.
Learn more about fractions here :
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I WILL GIVE SO MANY POINTS PLS HELP
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
i might be wrong but you have to do proportions, i got 45 minute
Step-by-step explanation:
set it,it up by 30 minutes over 4 miles and x over 6 miles then you multiply by 6 and 30 which is 180 then divide by 4 and i got 45
Answer:
10 fewer minutesStep-by-step explanation:
Use formula
distance = time* speedThe distance between home and school:
4* 30 min = 4 * 0.5 hr = 2 milesNoah's time to reach home:
2 / 6 = 1/3 hr = 1/3*60 min = 20 minDifference in time:
30 min - 20 min = 10 minmicheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one book cost
Answer:
Each book cost $3.55
Step-by-step explanation:
please answer this it is 25 points
Answer:
18 stamps
Step-by-step explanation:
3/5(30) = 90/5 = 18
Answer:
18 stampsStep-by-step explanation:
The chart tells you Zack has 30 stamps in total.
3/5 are animal stamps.
So you do
30 x 3/5 = 90 / 5 = 18
OR
30 / 5 x 3 = 6 x 3 = 18
Hope that helps!
A small college has 800 students
Answer:
ok
Step-by-step explanation:
Find the area of the shaded figure below
Answer:
I think 40 units
Step-by-step explanation:
hope you have a wonderful day
Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?
Answer:
20.5 m^2
Step-by-step explanation:
entire back yard area = 7 x 6.5 = 45.5 m^2
45.5 - 25 = 20.5 m^2
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
A car dealership has 24 sedans and 18 sports coupes on its lot.
What is the ratio of sedans to sports coupes on the lot?
4:3
3:2
2:3
3:4
Answer:
Step-by-step explanation:
4:3
Which type of sequence is shown?
-2,0, 2, 4, 6, ...
Answer:
+2 or adding 2 each step
So it is a linear function
Step-by-step explanation:
-2 + 2 = 0
0 + 2 = 4
4 + 2 = 6
So forth..
Answer:
Arithmetic sequence.
Step-by-step explanation:
Sasha ordered a kite online. When it arrived, the kite was missing the crossbar. What length crossbar does Sasha need to complete the kite? Round to the nearest tenths if necessary.
Answer:
Approximately [tex]5.7[/tex] inches
Step-by-step explanation:
The crossbar and two given lengths form a right triangle. We know this because we see a right angle marked on the diagram in between the two given sides.
In this case, we have a right triangle with legs of [tex]4[/tex] and [tex]4[/tex], and we need to find the hypotenuse. By the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex], where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse), we get:
[tex]4^{2} +4^{2} =c^{2}[/tex]
[tex]16+16=c^{2}[/tex] (Evaluate exponents)
[tex]32=c^{2}[/tex] (Combine like terms)
[tex]\sqrt{32}=\sqrt{c^{2}}[/tex] (Take the square root of both sides of the equation to get rid of [tex]c[/tex]'s exponent)
[tex]c=4\sqrt{2} ,c=-4\sqrt{2}[/tex]
The latter solution is an extraneous solution because the side lengths of a triangle cannot be negative. Therefore, the answer is [tex]4\sqrt{2} \approx 5.7[/tex] inches. Hope this helps!
what is the reciprocal of 7/12
Answer:
12/7
Step-by-step explanation:
a laptop is in the shape of a rectangular prism the laptop has a length of 30 cm and a width of 20 cm in a volume of 1800 cubic centmeters what is the height of the laptop?
PLEASE NO LINKKKKKKKKKKKKKKKKKS
Answer:
3 cm
Step-by-step explanation
1800 /30·20=3cm
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
can I get some help ASAP please?
Answer:
DC
Step-by-step explanation:
DC
It’s opposite the smallest angle.
Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.
Since my name is in this question, I'll answer it :)
Answer:
Yes, she's right.
Step-by-step explanation:
2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)
If f(x+5)=x^2+kx+3x-10 what does k equal
The function f is defined by f(x)=x^2+3x-10 If f(x+5)=x^2+kx+30,
k= Find the smallest zero of f(x+5),
x= By definition, the zero of a polynomial function is a number a such that f(a)=0.
For quadratic equation, the zeros can be found on equalizing f to 0. First, f(x+5)=(x+5)²+3(x+5)-10=x²+10x+25+3x+15-10=x²+13x+30,
and it is told that If f(x+5)=x^2+kx+30 = x²+13x+30,
it implies k=13, so let’s find the zeros. x²+13x+30=0 is to solve: D= 13²-4x1x30=169-120=49, sqrt49=7,
so x=-13-7 / 2=-20/2 = -10, and x= -13+7/ 2 = -6 /2= -3. Obviously, we know that -10< -3, so the smallest zero is -10.
Tom has $52.
Which set of bills could Tom have?
Choose 1 answer:
TOLD
ONIS
Sin to
10
THE ENEMINARI
-
PID
ERKE
ONIS
ISRO 10
mis
Answer:
A,B
Step-by-step explanation:
A.
10+10+10+10+10+1+1=52
B.
20+20+10+1+1=52
Answer:
C
Step-by-step explanation:
simple process of elimination
A company has two manufacturing plants with daily production levels of 5x + 17 items and 3x - 4 items, respectively. The first plant produces how many more items daily than the second plant? The first plant produces more items daily than the second plant. (Simplify your answer.)
Answer:
2x + 21
Step-by-step explanation:
Given :
Plant 1 : production level) 5x + 17
Plant 2 : production level = 3x - 4
To how much more plant 1 produces than plant 2 ; subtract production of plant 2 from plant 1
(5x + 17) - (3x - 4)
Open the bracket
5x + 17 - 3x + 4
5x - 3x + 17 + 4
2x + 21
PLEASE HELP THIS IS DUE SOON
A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?
Answer:
150 cookies
Step-by-step explanation:
The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.
Hope this helps!
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
David drove 135 miles in 3 hours
Answer: 45 miles per hour
Step-by-step explanation:
Answer: if you are trying to find the hourly rate it's 45/hr. If your looking for minute rate it's .75/min. If you are looking for seconds rate it's .0125/sec
Step-by-step explanation: divide 135 by 3 for hourly rate. Divide 45 by 60 for minute rate. Divide .75 by 60 to to get seconds rate.
1)15% of what number is 6?
Answer:
40
Step-by-step explanation:
Answer:
40
to solve this question
let the unknown number be x
Then,. x * 15% = 6
x * 15/100 = 6
x = 6*100/15
c = 40
hope it helps
PLS ANSWER!!!
A car purchased for $18,000 depreciates annually at a rate of 5%.
What will be the approximate value of the car in the 10th year?
Answer:
I answered already but, here:
Step-by-step explanation:
$18,000 x 5% = 900 x 10 years = $9000
Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p and 50p coins
Answer:
£9.80
Step-by-step explanation:
The computation of the total value is shown below:
Given that
The value of 20p coins is £2.80
So the value of 50p would be
= £2.80 × 50 ÷ 20
= £7
Now the total value is
= £2.80 + £7
= £9.80
Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to come will be 117 years. How old is Charity today?
Answer: Charity is 36 years old today.
Step-by-step explanation:
Let x = Present age of daughter.
Age of Charity = 4x
Age of her husband = 4x+6
After 10 years,
Age of daughter = x+10
Age of Charity = 4x+10
Age of her husband = 4x+6+10=4x+16
As per given,
[tex]x+10+4x+10+4x+16=117[/tex]
[tex]9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9[/tex]
Present age of Charity = 4(9)=36 years
Hence, Charity is 36 years old today.
Prove the identity
secx-1/ tan x= tanx/ secx+1
To verify the identity, start with the left side and transform it to obtain the right side. Choose the correct step and transform the expression according to the step chosen.
secx-1/ tan x= sec-1 / tanx
Answer:
Proved
Step-by-step explanation:
The options are not given. So, I will solve from scratch
Given
[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]
Required
Prove
Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]
[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]
Apply difference of two squares on the numerator
[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
In trigonometry:
[tex]tan^2x = sec^2x - 1[/tex]
So, we have:
[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
tan x cancels out
[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]
Proved
Find the value of X.
Answer:
ummmmm if im not wrong 34
Step-by-step explanation:
Cuantos megametros hay en ocho millones de metros ?
Answer:
1 megámetro = 1000000 metros
Step-by-step explanation:
29. Write an equation of the line that passes through (1, -3) and has slope 2.
Welp plz
Answer:
y = 2x - 5
Step-by-step explanation:
use the formula y - y1 = m (x - x1)