Answer:
The faster bus moves at 83mi/h and the slower one moves at 69mi/h.
Step-by-step explanation:
Let's define:
R₁ = rate of bus 1, this is the faster one.
R₂ = rate of bus 2, this is the slower one.
We know that one bus travels 14mi/h slower, then:
R₂ = R₁ - 14mi/h.
Now we know that:
Distance = Speed*Time.
If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:
R₁*2h + R₂*2h = 304 mi
Then we have the two equations:
R₂ = R₁ - 14mi/h
R₁*2h + R₂*2h = 304 mi
The first step is to replace the first equation in the second one, to get:
R₁*2h + (R₁ - 14mi/h)*2h = 304 mi
And now we can solve this for R₁.
R₁*2h + R₁*2h - 14mi/h*2h = 304 mi
R₁*4h - 28mi = 304mi
R₁*4h = 304mi + 28mi = 332mi
R₁ = 332mi/4h = 83mi/h
The faster bus moves at 83mi/h
And we know that the slower one moves at 14mi/h slower than this, then:
R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h
The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3
Which of the following is the best estimate of the volume of
this water tank?
Dean purchased a box of cereal Which of these measurements BEST describes the volume of the box?
1.)154 cubic feet
2.)154 cubic inches
3.)154 cubic meters
4.)154 cubic millimeters
Answer:
2
Step-by-step explanation:
You don't measure cereal in the others because feet, meters and millimeters are too big. Hope this helps.
An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, how high is the roof in the drawing?
9.19 inches.
5.2 inches.
8.13 inches.
19.23 inches.
Please help!!!
Answer:
5.2
Step-by-step explanation:
I took the Quiz.
If An architect is reading a plan that is drawn on a scale of 0.65 inches to 1.25 ft. If the plan says that a room is 10 feet high, then the roof is 8.13 high in the drawing.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Based on the given conditions formulate 1.25÷10=1+x
If the fraction is defined, the denominator cannot equal 0,x≠0
Append the inequality as the domain x≠0
Multiply both sides by the common denominator:
1.25×10x/10=10x/x
Reduce the fractions: 5x/4=10
5x=40
x=8
It is approximately near to 8.13 inches.
Hence, 8.13 inches high is the roof in the drawing.
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If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.
Answer:
20ft
Step-by-step explanation:
20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft
Hope this helped :)
Up all the road 6 meters in 12 seconds. What is the speed?
Step-by-step explanation:
speed = distance/time
= 6/12 m/s
= 0.5 m/s
Answer:
0.5m/s
Step-by-step explanation:
Formula for speed is distance /time taken
which is 6m/12s,which Is then equal to0.5m/s
8. Use the information in the table to write 5 ordered pairs that have cats as the input value
and dogs as the output value.
Four sisters are all 2 years apart in age. The
total of their ages is equal to 36 years. How
old is the youngest sister
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The four sisters are all 2 years apart in age. The total of their ages is equal to 36 years.
Let x be the age of the youngest sister. Then the age of other sister will be x + 2, x + 4, and x + 6. Then the equation is given as,
x + x + 2 + x + 4 + x + 6 = 36
4x + 12 = 36
4x = 36 - 12
4x = 24
x = 24 / 4
x = 6
The equation that represents the age of the youngest sister is 4x + 12 = 36. Then the age of youngest sister will be 6 years old.
More about the Algebra link is given below.
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how do you create a graph for linear equation? I need to graph 3x=4
Answer:
Look at the graph below, hope this helped.
Step-by-step explanation:
Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles
Answer:
cut the two lines at the corner, don't let the lines touch
Step-by-step explanation:
Two lines are drawn at corner of a big triangle and lines should not touch each other
Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangleWhat are the steps to draw?Steps to draw the Pentagon & Triangle are as follow:
First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left cornerSo two triangle and one pentagon is produced
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Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE
Answer:
Step-by-step explanation: You have to add the number
420
+77
497
Pls find this asap I am already late for this pls
Answer:
Step-by-step explanation:
I'm not sure about number 3, but I have the answer for number. The answer is 1:32.
3: 69
3/69
Then we reduce the fraction to the lowest term
3/69 = 1/32
1:32
Just divide 96/3 and you can see that one bus can hold 32 students
In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm
Answer:
120
Step-by-step explanation:
just do 20x 6 and you get 120
Similar triangles may or may not be congruent
The area of triangle DEF is 800 square cm
The given parameters is
[tex]\triangle ABC \sim \triangle D EF[/tex]
This means that the triangles are similar.
The corresponding sides of the triangles are:
[tex]AC = 6[/tex]
[tex]DF = 20[/tex]
So, the scale factor (k) from ABC to DEF is:
[tex]k = \frac{D EF}{ABC}[/tex]
[tex]k = \frac{20}{6}[/tex]
Simplify
[tex]k = \frac{10}{3}[/tex]
The area of triangle DEF is then calculated as follows:
Area = Area of triangle ABC * k^2
So, we have:
[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]
[tex]A = 800[/tex]
Hence, the area of triangle DEF is 800 square cm
Read more about similar triangles at:
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Convert 11/3 from an improper fraction into a mixed number
Answer: 3 2/3
Step-by-step explanation:
how many groups of 3 can u make out of 11 units? Answer: 3
Rest overs: 2/3
Answer:
3 2/3
Step-by-step explanation:
3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3
Help please extra points
Answer:
The answer to the question provided is letter c.
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
Not Graded
AEDc0
9:28 AM
116/2021
1
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need
HELP MWAH WITH YOURS TRULYS MATH
Answer:
its 1/2
Step-by-step explanation:
because 1/2 of 10/10 is 5/10
Answer:
1
Step-by-step explanation:
[tex]\frac{5}{10}[/tex]= 0.5
[tex]\frac{1}{2}[/tex]= 0.5
therefore making them equivilant
divide 18 by 3, then add 9
Answer:
15
Step-by-step explanation:
18 ÷ 3 = 6
6+3 =15
hope this helps
In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?
Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
What did you include in your response? Check all that apply.
If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.
Answer:
How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.
Step-by-step explanation:
Look at the table.
Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625
What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250
Answer: $825 (B)
Step-by-step explanation:
it’s obvious
Answer: The answer is B!
Step-by-step explanation: It's on edge, hope this helped!
Find the perimeter and area of a rectangle with the following length and breadth:
i. L = 10.5m, B = 5.5m
ii. L = 15cm B = 6.8cm
Answer:
perimeter: 2(l+b) , area : multiply by breadth
Step-by-step explanation:
perimeter: 2(10.5+5.5)
:206.5m ans
area: 10.5multiply bye 5.5
:57.75m ans
2: perimeter: 2(15+6.8)
: 36.8cm ans
area : 15 multiply by 6.8
: 102cm ans
Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.
Answer: x intercept is 2/5, and y intercept is -2
Step-by-step explanation:
Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
Answer:
C (yogurt sales had a decresing trend)
Step-by-step explanation:
so because if you look over other staistics they are not true and this one is
The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.
What is a Graph?Graph is a mathematical representation of relation between two objects.
The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.
The yogurt sales has been decreasing in the last four months of 2011.
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Shannon, Oscar, and Ella contribute the same amount to their father’s gift. Their older sister Moriah contributes $12. How much does Oscar contribute if the total for the gift is $36? Write and solve an equation.
Answer:
Amount contributed by Oscar = $8
Step-by-step explanation:
Given that:
Amount spent on gift = $36
Amount contributed by Moriah = $12
Let,
x be the amount contributed by each of them.
Thus,
Gift total = Contribution of all
36 = x+x+x+12
36 = 3x+12
3x+12 = 36
3x=36-12
3x=24
Dividing both sides by 3
[tex]\frac{3x}{3}=\frac{24}{3}\\x=8[/tex]
Hence,
Amount contributed by Oscar = $8
PLS help whats 800000000.0%x9000000.0%=p\
Answer: 720,000,000,000
Step-by-step explanation: Find your answer by multiplying the 2 percent's.
Let p, equal percent.
800000000.0%x9000000.0% = p
800000000.0%x9000000.0% = 720,000,000,000
720,000,000,000 = p
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is 14.4 ft.
Step-by-step explanation:
We can solve this using proportion!
[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]
A company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year?
Answer:
120 i think
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120
solve for x x−6/9=−5
x=
Answer:
4 4/9
Step-by-step explanation:
Move all terms not containing x
to the right side of the equation.
Exact Form:
x=−409
Decimal Form:x=−4.¯4
Mixed Number Form:
4 4/9
Answer:
-39
Step-by-step explanation:
x-6/9 = -5
then multiply both sides by 9
9 ° (x-6) / 9 = 9 ° -5
simplify
x-6= -45
add 6 to both sides
x-6+6=-45+6
simplify
x= -39
PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21
Answer:
the correct answer is 131
Step-by-step explanation:
5^3 +3(2)
= 125 +6
=131
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
can someone help me please look at picture
Answer:
Area of big rectangle - area of mini rectangle
56in2 - 3in2
B. 53 in2
Step-by-step explanation:
Separate the two rectangleulsr shapes. 3x6 which equals 18.
8-3=5
5×7= 35
35+18= 53
B. 53 in sq