Answer:
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Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the other. If they meet in 2 hours, what is the rate of each bus?
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
An artist can create 4 pieces of pottery in 2 hours. What’s the artist’s unit rate?
H+4.78=8.02 evaluate
Answer:
h=3.24
Step-by-step explanation:
Miya is selling grapefruit and nuts for a fundraiser. The grapefruits cost 5 dollars each and a bag of nuts cost 15 dollars each. She sells 30 items and made 250 dollars. How many grapefruits did she sell?
Answer:
A) 5G + 15N = 250
B) G + N = 30 We'll multiply B) by -5
B) -5G -5N = -150 then we add A)
A) 5G + 15N = 250
10N = 100
N = 10 bags of nuts ($150.00)
We put N=10 into A)
A) 5G + 150 = 250
A) 5G = 100
G = 20 Grapefruits ($100.00)
Step-by-step explanation:
there is more i need to take more pictures of it
The function P(d) = 1 + + gives the pressure, in atmospheres (atm), at a depth d feet in
the sea. Find and interpret P(59). Do not round your answer.
59
331
At a depth of 33 feet, the pressure is 59 atm.
b) 22; At a depth of feet, the pressure is 59 atm.
c) 39; At a depth of 59 feet, the pressure is atm.
d) 33; At a depth of 59 feet, the pressure is 3 atm.
Answer:
c) 39; At a depth of 59 feet, the pressure is atm.
Sarah drives her car for 2 1/2 hours with a constant speed of 60 mph. What is the distance Sarah traveled?
Answer:
Bro I gave you the answer fully explained and then some noob deleted it so Im sorry your answer is 150 miles because 60 minutes in one hour and she drove 2.5 hours which is 150 miles. Hope this helps
Step-by-step explanation:
The sum of two numbers is 52. The difference of the two numbers is 6. Find the two numbers.
b) Write the equations.
Answer:46
Step-by-step explanation:
What is the constant term in the expression?
15a + 10b + 5 – 7b
Answer:
5
Step-by-step explanation:
15a , 10b , and -7b are coefficients.
Which statement about the graph of y= 3x+5 is correct?
a. The line passes through the ordered pair (3, 0) and has a slope of 5.
b. The line passes through the ordered pair (0,5) and has a slope of 3.
c. The line passes through the ordered pair (5,20) and has a slope of 5/3
d. The line passes through the ordered pair (3, 14) and has a slope of 3/5
Answer:
b. The line passes through the ordered pair (0,5) and has a slope of 3.
Step-by-step explanation:
The equation given is in slope-intercept form.
[tex]y= mx+b[/tex]
m = slope
b = y-intercept
The slope is 3 in the equation. 3 is in m's spot.
[tex]y=\boxed{m}x+b\\\\y=\boxed{3}x+b[/tex]
The y-intercept is 5. This means that the line will pass through (0,5).
[tex]y=mx+\boxed{b}\\\\y=3x+\boxed{5}[/tex]
The correct option should be B.
Hope this helps.
How many yards are equivalent to 18 inches?
Answer:
0.5 yards
Step-by-step explanation:
Find the missing angles of 2 questions.
Answer:
x= - 6
Step-by-step explanation:
[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]
[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]
In which of the following expressions is 5 a coefficient?
5y + 42
19x + 4y + 5
O x² + 4x2
Ox+3+2x X
Answer:
The first one
Step-by-step explanation:
I hope this helps with your answer :)
Answer:
The first one, 5y +42
Step-by-step explanation:
A coefficient is a variable with a number multiplied to it. Ex. 3y
Only in the first one is 5 a coefficient.
Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?
Answer:
12 11/20
Step-by-step explanation:
the answer to the question is 12 11/20
the x-intercepts of the graph of y=2x^2-16x+30 are (3,0),(5,0) ? what is the x-coordinate of the vertex?
Answer:
x=-4
Step-by-step explanation:
vertex formula is -b/2a
-(16)/2(2)
x=4
Which of the following fractions compares BC to BD?
2/3
5/2
2/5
3/2
Answer:
2/3
Step-by-step explanation:
brainliest
The fraction that compares BC to BD is 2/3.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
The distance between B and C is 2-0 = 2 units horizontally and 1-1 = 0 units vertically, so BC is a horizontal segment of length 2 units.
The distance between B and D is 3-0 = 3 units horizontally and 1-1 = 0 units vertically, so BD is also a horizontal segment of length 3 units.
Therefore, BC/BD = 2/3.
So the fraction that compares BC to BD is 2/3.
To learn more about fractions;
https://brainly.com/question/10354322
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Hank's Bicycle Rentals charges an initial fee of $15 and an hourly rate
of $4.50 to rent a bicycle. Maria's Bicycle Rentals charges an initial fee of
$12 and an hourly rate of $5.00. For how many hours of renting a bicycle
would the two rental companies charge the same amount?
Answer:
6
Step-by-step explanation:
At 6 hours they both charge $42
34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14
A plot of land is an irregular triangle with a base of 112 feet and a height of 47 feet. What is the area of the plot?
The area of irregular triangle is 2632 sq. ft.
What is Triangle?A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.
Here, given dimension of irregular triangle;
base = 112 feet.
height = 47 feet.
we know that,
Area of triangle = 1/2 X Base X Height
= 1/2 X 112 X 47
= 56 X 47
= 2632 ft²
Thus, the area of irregular triangle is 2632 sq. ft.
Learn more about Triangle from:
https://brainly.com/question/2773823
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Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches?
a machine fills boxes at a constant rate at the end of 35 minutes it has filled 5 boxes which table represents the relationship between the number of minutes the minutes fills boxes and the number of boxes it has filled.
Answer:
well you see the times go up by whatever the first number is so solve it that way
Step-by-step explanation:
A card is chosen at random from a standard deck of cards. What is the probability that the card chosen is a heart or spade? Are these events mutually exclusive?
Answer:
a. Probability is 50%
b. Picking either a heart or spade is mutually exclusive
Step-by-step explanation:
There are 52 cards in a deck of cards.
Of those 52, 13 are hearts and 13 are spades.
The probability of picking wither of them is therefore:
= (13 + 13) / 52
= 26/52
= 50%
Mutually exclusive events are those that cannot occur at the same time. You can either pick a heart or you can pick a spade. You cannot pick both at the same time so these are mutually exclusive.
write the fraction 4/12 as a division expression
Answer:
4 ÷ 12 = 0.33333333333
Step-by-step explanation:
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
Write an equivalent expression for each the following:
a. x + x + x+ 2x + x =
b. (x + 2) (x + 2) =
c. y + y + y + y + 10 + y + 1 =
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
Answer:
yes 1:2
Step-by-step explanation:
Set up the ratio
Cylinder(1) = 6.4:3.2
Cylinder(2) = 4:2
Is 6.4/3.2 = 4/2?
12.8 = 12.8!
So yes.
jason went to the store to buy a trampoline with his dad the trampoline was 60% off and they paid $90 how much did it cost without the discount
Answer:
It costed $150 dollars
Step-by-step explanation:
You divide 90 by 60 to get 1.5 then you multiply that by 100 to get 150
Which is rational and irroational
Answer:
1. Rational
2. Irrational
3. Irrational
4. Irrational
5. Rational
Step-by-step explanation:
I am not 100% this is correct, but I tried my best
Hope this helps!
~PurpleMist
It was John's birthday, 1/2 of his cupcakes were choco lava, the other half was strawberry. There were 10 strawberry cupcakes. Rick ate 2/4 of choco lava cupcakes. Steward ate 1/10 of the strawberry How much did Rick and Steward eat?
Answer:
6 cupcakes or 6/10 or 3/5
Step-by-step explanation:
The length of a freeway is 600 miles. If 0.5 inch represents 50 miles, what is the length of the freeway on the map?