A car and a truck left Washington, DC traveling in opposite directions. The car
traveled 19 miles
per hour faster than the truck, and at the end of 8 hours they were
1048 miles apart. What was the average speed of each vehicle?
Answer:
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Step-by-step explanation:
Call the speed of the truck (x) miles per hour. As per the given information, the car is (19) miles per hour faster. Thus, one can form expressions to represent the speeds of the vehicles.
car = ( x + 19 ) mph
truck = ( x ) mph
Using the formula, ( (speed) * (time) = (distance) ), one can say that the speed of the car, times the time it took plus the speed of the truck times the time will equal the distance between the two vehicles:
(( car speed )( time )) + (( truck speed )( time )) = ( distance between vehicles )
Substitute,
( ( x + 19 ) ( 8 ) ) + ( ( x ) ( 8 ) ) = 1048
Simplify,
8x + 152 + 8x = 1048
16x + 152 = 1048
-152 -152
16x = 896
/16 /16
x = 56
Add (19) to find the speed of the car:
truck speed + 19
= 56 + 19
= 75
The speed of the car is 75 mph.
The speed of the truck is 56 mph.
Answer:
The truck traveled at 81
mph. The car traveled at 100
mph.
Step-by-step explanation:
Pencils cost $.10 and erasers cost $0.25. steve bought 5 more pencils than erasers. he spent a total of $1.55. how many erasers did steve buy?
Answer:
Let x be the number of pencils Steve bought.
Let y be the number of erasers Steve bought.
x=y+5
0.1x + 0.25y = 1.55
Solving the system, our answer is: (8, 3)
So, she bought 3 erasers.
Let me know if this helps!
Please answer ASAP no links please and thanks u
Step-by-step explanation:
the answer is b
Answer:
C. 120 ft^2
Step-by-step explanation:
The area of the triangles= (1/2*3*4)2=12
The area of the larger parallelogram=5*9=45
The area of the bottom rectangle=4*9=36
The area of the vertical rectangle=3*9=27
Totale Surface Area=12+45+36+27=120
Someone please help with this!!!
Answer:
y=100x+18
Minutes included over the cost of plan
cost of plan starts
Step-by-step explanation:
will give brainliest if you help with this question.
Answer: (-5, 2). Please mark me brainliest
Step-by-step explanation: So we are finding the coordinates of point A first we have to mark the x-coordinate (-5) so we have to look at the horizontal line (x-coordinate) and the A is an -5 so the first part should be -5 next we have to do the vertical line (y-coordinate) and it is on the 2 so 2 so the answer is (-5,2).
Use Substitution to solve the following System of Equations.
y= 4x + 3
y = -2 – 2
Solve the following question using the elimination method :)
-4x + 4y = 0
Y = -6x
-4(-6-2n) =30 + 8n
3 ( 1 - 8r ) = -3 ( r - 1 )
Answer:
y=0,. X=0.
Step-by-step explanation:
24+8n=30+8n
3-24r=-3r+3. (+24r)
3=21r+3. (-3)
0=21r
0=r
what is the slope of the graph?
(x+4) (x-1) in standard form
Answer:
x^2-5x+4
Step-by-step explanation:
(x+4)(x-1) in standard form is x^2-5x+4
Pls help me just drop the answer below I need help fast
Answer:
i believe the answer is 0,2
0.242 to the nearest hundredth
Ready for this quick math? 10 + 5 x 14 + 32 x 11 - 2 x 1 + 56 x 111 + 76 - 83458 =. Try solving this. ( Then subscribe to socksfor1).
Answer:
The answer for this is -76736
Step-by-step explanation:
I know school can be hard and believe me I know sometimes u just want to quit but being in school can make a difference so I want to get u a lot of points please do your best have a good day or night
Answer:
Step-by-step explanation:
Thanks fam have a. Good night
20% of what number is 80?
[tex]\text {Hi There! Let's Solve this Problem!}[/tex]
[tex]\text {To Solve this Problem you'll be Dividing the Numbers. Dividing this problem}[/tex] [tex]\text {will get your answer.}[/tex]
[tex]\text {\underline {Divide}}[/tex]
[tex]\text {80/20 Percent}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\Huge\boxed {400}[/tex]
[tex]\text {Best of Luck!}[/tex]
Answer: 400
Step-by-step explanation: ...
Solve 4/s=-2/9 please help
Answer: 4/15
Step-by-step explanation:
hope it's help you.......
Please help me I will give Brain
Answer:
your answer would be 68
Step-by-step explanation:
because it looks like in the photo that it is bigger then the 72 but smaller then the 90 so the answer would be 68
please mark me brainlyest?
Daniela fue a la florería a comprar rosas rojas para regalar a su madre el día de su cumpleaños. Si una rosa cuesta $2.550 ¿Cuánto cuesta 2 docenas?
Answer:
2 docenas cuestan $61.200.
Step-by-step explanation:
Para encontrar la respuesta, debes considerar que una docena equivale a 12 artículos, por lo cual tienes que multiplicar 12 por 2 para encontrar el número de rosas en 2 docenas:
12*2=24
Ahora, dado que sabes que una rosa cuesta $2.550 tienes que multiplicar este valor por 24 para encontrar cuanto cuestan 2 docenas:
$2.550*24=$61.200
De acuerdo a esto, la respuesta es que 2 docenas cuestan $61.200.
55+16=
13x4=
9-2=
3/5
how much wood could a wood chuck chuck if a wood chuck could chuck wood?
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
55 + 16 = 71
13 × 4 = 52
9 - 2 = 7
3/5 = 0.6
Thomas reasoned that if a woodchuck could chuck wood, he would chuck an amount equivalent to the weight of the dirt, or 700 pounds.
Hope it helps!
Mark me brainliest plz.....
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NEED HELP NOW
The area of Jordan’s yard can be modeled by the expression 3x2 – 2x + 1. Jordan purchases additional land from his neighbors. The area of this land can be modeled by the expression 4x2 + 3x + 7. Which expression represents the new area of Jordan’s yard?
A.
x2 + 5x + 6
B.
x2 + x + 8
C.
7x2 + x + 8
D.
7x2 + 5x + 6
Answer:
7x^2 + x + 8
Step-by-step explanation:
here's your solution
=> The model of Jordan yard = 3x^2 - 2x + 1
=> The model of new yard = 4x^2 + 3x+ 7
=> now, for total area we need to add both
=> 4x^2 + 3x^2 + 3x - 2x + 7 + 1
=>7x^2 + x + 8
hope it helps
Which shape shows a reflection?
I’m scared to answer because I’m at 90 and I know if I get it wrong I’ll drop again
Answer:
B! Can I plz have Brainliest!!!!
Step-by-step explanation:
I've never gotten one before!
Please help, I will give brainliest, and look at the screen shot!
Look at this equation. 3(x + 1) = 3x + Which number can be placed in the box that would create an equation that has an infinite number of solutions? OA) O OB) 1 C) 2 OD 3
[tex]52 - x = 52[/tex]
[tex]x = 52 - 52[/tex]
[tex]x = 0[/tex]
Please Help me !!!!!
Answer:
6.156 seconds
Step-by-step explanation:
we can find the 'x' coordinate of the vertex by using -b/2a where b = 197 and a=16
x = -197/-32
x = 6.156
Which expression represents the determinant of A=[-6 -7 -4 -2
]
Answer:
C) det(A) = (–6)(–2) – (–4)(–7)
Step-by-step explanation:
The determinant is ad-bc so when you plug in the numbers you get this answer. Also I got it right on Edge 2021 :)
2 + 14 + 2 − 12 = -4
Answer:
The answer is actually 6.
Answer:
no, it's 6.
Step-by-step explanation:
PLSS HELP ME ASAP!! WILL GIVE YOU BRAINLYEST!!
Elaina misses 2 free throws for every 10 attempts.
How many free throws can you expect Elaina to make
if she shoots 15 free throws in a game?
Answer:
12
Step-by-step explanation:
....................
Write and simplify an expression that represents the perimeter of the parallelogram.
Marco has a triangle with 2 angles that are each 65°. What is the measure of the third angle?
Answer:
50
Step-by-step explanation:
when u add all the angles of a triangle the sum should be 180.. so 65+65 is 130... then u have to subtract 130 from 180 which gives the final answer as 50
hope my ans helps
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stay safe
You are planning a trip to Yellowstone National Park, and know that you can save money by driving
and staying with family along the way. The first leg of your journey will be 426 miles from Portland,
OR to Boise, ID where your aunt lives. After visiting with her, you will drive 388 more miles to
Yellowstone. Estimate the number of miles you will drive to get to Yellowstone National Park by
first rounding to the tens place.
Answer:
the number of miles that you would drive to go the yellowstone is 814 miles
Step-by-step explanation:
The computation of the number of miles that you would drive to go the yellowstone is shown below:
= First leg of the journey from portland + more drives to yellow stone
= 426 miles + 388 miles
= 814 miles
Hence, the number of miles that you would drive to go the yellowstone is 814 miles