Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As [tex]Time = \frac{Distance }{Speed}[/tex]
⇒ Time traveled by walking = [tex]\frac{1}{x}[/tex]
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running = [tex]\frac{1}{2x}[/tex]
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = [tex]\frac{3}{2}[/tex] (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling = [tex]\frac{1}{3x}[/tex]
Now,
Total time traveled = Time traveled by walking + running + cycling
= [tex]\frac{1}{x}[/tex] + [tex]\frac{1}{2x}[/tex] + [tex]\frac{1}{3x}[/tex]
= [tex]\frac{6+3+2}{6x} = \frac{11}{6x}[/tex]
If he cycled the three mile , then total time taken = [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] + [tex]\frac{1}{3x}[/tex] = x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 = [tex]\frac{11}{6} x[/tex]
⇒[tex]x - \frac{11}{6} x = -10[/tex]
⇒[tex]-\frac{5}{6}x = -10[/tex]
⇒x = [tex]\frac{60}{5}[/tex] = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = [tex]\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22[/tex] min
Shown below is a prism.
The cross-sectional area is 21cm2.
The prism has a length of 6cm.
Find the volume of the prism.
Answer:
Volume = 126 cm^2
Step-by-step explanation:
You don't exactly know what the base looks like, but it doesn't matter. The volume of a Prism is Base * height.
Solution
V = Base (which is the Cross sectional Area) * Length
V = 21 cm^2 * 6 cm
V = 126 cm^2
simplify (2x+y)(3x²+2xy+5y²)
Answer:
Step-by-step explanation:
6x3 +4x2y + 10xy2 + 3x2y + 2xy2+ 5y3
Solving like terms
6x3 + 7x2y + 12xy2 + 5y3
The simplified form of the expression is 6x³+5y³+12xy²+7x²y
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, (2x+y)(3x²+2xy+5y²), we need to simplify it,
(2x+y)(3x²+2xy+5y²)
= 6x³+4x²y+10xy²+3x²y+2xy²+5y³
= 6x³+5y³+12xy²+7x²y
Hence, the simplified form of the expression is 6x³+5y³+12xy²+7x²y
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2/3 times (-4/5) I have no idea lol
Answer:
-8/15
Step-by-step explanation:
That's your answer
Factor the common factor out of each expression 64p - 24
Answer: 8(8p-3)
Step-by-step explanation:
64p and 24 are both divisible by 8
64p/8 = 8p
24/8 = 3
8(8p) - 8(3)
Distributive property
8(8p-3)
The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 19,900(0.86)^t
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary.
Answer:
v(0) = 19,900, v(11) = 3,787.36
Step-by-step explanation:
v(0) = 19,900 (0.86)^0 = 19,900 * 1 = 19,000
v(11) = 19,900 (0.86)^11 = 19,900 * 0.190319 = 3,787.36
21
Find the perimeter of the isosceles triangle
7 ft.
48 ft.
A. 98 feet
B. 24 feet
C. 48. 5 feet
D. 200 feet
Answer:
The perimeter is 98 feet
What was the subject about cartoon “Andrew Johnson kicking the Freedmen’s Bureau” by Thomas Nast
Answer:
Thomas Nast drew a cartoon of "The Grand Masquerade Ball" featuring large sketches of many of the celebrities of the day
Step-by-step explanation:
TUT
Tara earned $320 this month and saved $96. Write a ratio statement to describe how much Tara saved versus earned.
Answer:
3: 10
Step-by-step explanation:
saved: earned
96: 320
simplify by dividing both sides by the same thing just like a fraction:
96: 320
24: 80
6: 20
3: 10
A new car loan has monthly payments of $482.75. How much money will be paid on the car loan after 3 years?
========================================================
Work Shown:
1 year = 12 months
3*(1 year) = 3*(12 months) ..... multiply both sides by 3
3 years = 36 months
You'll make 36 payments, each being $482.75, which means the total amount of money paid is 36*482.75 = 17,379 dollars
Samantha will attend Lattice College this fall. Tuition for one year is $6,250. Samantha plans to earn $1,500 at her work-study job at the college library. She has a grant for $1,000 and a scholarship that pays $1,200 this year. How much more money will Samantha need for this year's tuition?
Answer:
2,550
Step-by-step explanation:
you are going to add 1,500 + 1,000 + 1,200 = 3,700 then you are going to subtract 6,250-3,700 = 2,550 and that is the answer
I need help with this question
Answer:
36-4-2x, she will have 8 rolls of toilet paper left over
Step-by-step explanation:
36=total-4= the four given away,2x= the number of rolls used per month. 36-4=32. 2(12) 1 year]= 24. 32-24=8
how many terms are in the expression 5x+3y-2z
Answer:
three?
Step-by-step explanation:
3
Thats the answer
.
.
.
.
.
Find the product: 4 2/5 x 5 1/2 =
Answer:
4 2/5 x 5 1/2 = 24.2
Step-by-step explanation:
PLZZ MARK BRAINLIEST!!!
Solve for x, round to the nearest tenth. find x x =
Answer:
64.2
Step-by-step explanation:
Use tan to find the measure of x.
tan = 0pposite/adjacent
opposite = 29
adjacent = 14
so:
[tex]tan(x)=29/14\\x = tan^{-1} (29/14)\\x = 64.2[/tex]
Answer:
x = 64.2°
Step-by-step explanation:
tan x° = 29/14
14 · tan x° = 29
tan x° = 29/14
arctan(x) = 64.2°
Find the probability of the indicated event if P(E) = 0.25 and P(F) = 0.40.
Find P(E or F) if P(E and F) = 0.05.
P(E or F) = (Simplify your answer.)
Answer:
[tex]P(E\ or\ F) = 0.60[/tex]
Step-by-step explanation:
Given
[tex]P(E) = 0.25[/tex]
[tex]P(F) = 0.40[/tex]
[tex]P(E\ and\ F) = 0.05[/tex]
Required
Determine P(E or F)
This is calculated using:
[tex]P(E\ or\ F) = P(E) + P(F) - P(E\ and\ F)[/tex]
[tex]P(E\ or\ F) = 0.25 + 0.40 - 0.05[/tex]
[tex]P(E\ or\ F) = 0.60[/tex]
Next week, Josephine wants: to spend the same total amount of time, but practice the same number of hours each of the 4 days. How many hours would Josephine practice each day? All measurements are rounded to the nearest hour 1/4.
Answer:
The answer is 2 hours
Step-by-step explanation:
First you have to add up all the points which would be;
1 1/2 + 1 1/2+ 2 1/2+ 2 1/2= 8 hours
Next you have to divide by how many points to find AVERAGE;
8 hours divided by 4 points= 2 hours average
So in total, she will practice 2 hours every day
2 kilometers to 72 meters write each ratio in simplest form
Answer: It is 136.
Step-by-step explanation:
2 kilometers to 72 meters simplest form is 1:36.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
Then their ratio will be formed as
[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]
where x is a common factor (not 1)
This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.
Thus, a = px, b = qx
1. To Find common denominator:
2 x 2/ 72 x 2
Commonest denominator: 2
2. Divide the two terms:
2 x 2 = 2/ 72 = 36
3. Convert into rate form:
1:36
Therefore, 2 kilometers to 72 meters simplest form is 1:36.
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solve for x
35+.8x=43-7x
Answer:
x = 1.02564
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
35 + 0.8x = 43 - 7x
Step 2: Solve for x
[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8[Division Property of Equality] Divide 7.8 on both sides: x = 1.02564Which expression is equivalent to 9x + 4y +5+20 + 8?
17 + 6 + 5
130 + 7 + 8
110 + 4y + 13
90 | 6y + 13
Step-by-step explanation:
11x+4y+13
Hope it helps you
A recipe needs 2 tablespoons of vegetable oil for every 3/4 cup of flour. If you plan to use 3 cups of flour,
how much vegetable oil will you need?
Answer:
24
Step-by-step explanation:
-%6$6%7$%$7%867-$7
Answer:
8
Step-by-step explanation:
Ratio: 2:3/4
Equation: 3/4x=3
x=4
4*2=8
A man ears $15.50 per hour with time and a half for overtime and he worked 46 hours during a recent week. Find his gross pay for the week
The man's gross pay for the week was $
(Round to the nearest cent as needed)
Answer:
525267262525226
Step-by-step explanation:
594944+757548484-848484%
Data Set 1
Drag and drop the range of each data set into the
boxes.
X X
Х
Х
х
Data Set 1
Data Set 2
x x
х
X
Х
Range
20
30
40
50
60
20
25
30
45
Data Set 2
х
Х
х
x x
Х
х
Х
+
20
30
40
50
60
1
2
3
4
5
Finish
Answer:
Data Set 1: 20
Data Set 2: 25
Step-by-step explanation:
Range = maximum value - minimum value
Range of Data Set 1:
Maximum value of data set 1 = 40
Minimum value of data set 1 = 20
Range of Data Set 1 = 40 - 20 = 20
Range of Data Set 2:
Maximum value of data set 2 = 60
Minimum value of data set 2 = 35
Range of Data Set 2 = 60 - 35 = 25
Answer:
20 and 25
Step-by-step explanation:
took test guy above is correct
Ken can walk 6 dogs in 4 hours. How many dogs can Ken walk in 10 hours?
Answer: 15 Dogs
Step-by-step explanation:
1.) Set up a ratio!
6 Dogs = ?
4 Hours 10 Hours
2.) Cross Multiply
6x10=60
60/4= 15
3/4 ÷ 1/5 = ??????????
Answer:
15/4 or 3 3/4
Step-by-step explanation:
3/4 x 5/1 = 15/4
Answer:
[tex]\frac{15}{4}[/tex]
Step-by-step explanation:
turn [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5}[/tex] into
multiply the denominators and then multiply the numerators
3 x 5 = 15
4 x 1 = 4
the fraction is [tex]\frac{15}{4}[/tex]
hope this helps :)
PLEASE HELPPPPP Write an expression that converts the indicated units:
Answer:
1ft=12in
1in=1/12
1000m=1km
1d=86400s
huilan is 5 years older than Thomas. The sum of their ages is 103. What is thomas's age
Answer:
49 years old
Step-by-step explanation:
x + x + 5 = 103
2x + 5 = 103
2x = 98
x = 49
Answer:
Step-by-step explanation:
Thomas is 49 huilan is 54
the Gonzales family has three children on summer break they went to an amusement park they bought 3 children tickets for 18.50 and 2 adults tickets if they spent a total of 104.50 how much was the price of the parents
(a) write an equation to represent this situation use x to represent the price of each adult tickets
(b) how much was the price each adult tickets
Answer:
a. 18.50 + x = 104.50
b. x = 86
Step-by-step explanation:
To get the price of the adult tickets use inverse operation and subtract 18.50 on both sides. When you subtract 18.50 from 104.50 you should get 86. so x = 86.
A school raised $18,000 at a charity event. A, B, and C, in ratio 1: 2: 3. How much money did each charity receive?
Answer:
3000
6000
9000
Step-by-step explanation:
18000/6=3
A=1(3000)=3000
B=2(3000)=6000
C=3(3000)=9000
During a charity walk, lunch was served from 12:00 PM until 2:10 PM. How long was lunch served?
Answer:
2 hours and 10 minutes
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 hours and 10 mins!
HOW DO YOU FIND PERCENT INCREASE
Answer:
Step-by-step explanation:
First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100
If your answer is a negative number, then this is a percentage increase
