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:
Can someone help me with question 20 pls
Answer:
6x^3-12x^2+3x-3
Step-by-step explanation:
Answer:
6x³ - 12x² + 3x - 3
Step-by-step explanation:
f(x) - g(x)
= (6x³ - 3x² + 4x - 4) - (9x² + x - 1)
= 6x³ - 3x² + 4x - 4 - 9x² - x + 1
= 6x³ - 3x² - 9x² + 4x - x - 4 + 1
= 6x³ - 12x² + 3x - 3
When rounding to the nearest hundred thousand what is the greatest whole number that rounds to 400,000
Answer:
449,999
Step-by-step explanation:
Given that:
Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :
To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.
The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;
400,000 (nearest hundred thousand).
What is the probability of drawing a queen or a heart from a standard deck of 52 cards?
Reminder: the four card families
Pleasee helpppppp!!
Answer:
4/13
Step-by-step explanation:
4 queens and 13 hearts
4/ 52 + 13/52 - 1/52
16/52
4/13
Answer:
Step-by-step explanation:
There are 13 hearts in 52 cards. C From above, P(Queen)=4/52 and P Heart=13/52, the queen of hearts is in both categories so we have to subtract 1/52 so we don't double count.
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
Factor completely: 2x^3-12x^2+18x
Answer:
2x(x - 3)²
Step-by-step explanation:
We can simplify this a lot by first factoring 2x out of each term:
2x³ - 12x² + 18x
= 2x(x² - 6 + 9)
We can then factor the trinomial fairly easily, as it's a perfect square:
= 2x(x - 3)²
The diagram shows a circle contained in a square. What is the simplified ratio of the area of the circle to the area of the square?
Answer:
π/4Step-by-step explanation:
We have a = 2r
Area of square:
A₁ = a² = 4r²Area of circle:
A₂ = πr²Ratio:
A₂/A₁ = πr²/4r² = π/4Answer:
π/4
Step-by-step explanation:
Hope this helps
What is the area of a rectangle with vertices (2, 3), (9, 3), (9, Negative 2), and (2, Negative 2)?
---square units
Answer:
35 units
Step-by-step explanation:
edg
Jessie spent a total of 14.00 to purchase a gift and have it gift-wrapped and mailed. The cost for the postage was $2.25, and she knows the gift itself cost $9.50.
Answer:
she spent 11.75$ total
Step-by-step explanation:
9.50+2.25=11.75
Please, if anyone knows help me, I need a lot of help in this activity.
Answer:
Step-by-step explanation:
Perimeter of the given polygon = n + 2 + 3 + 4 + n + 2 + 3 + 4
= 2(n + 2 + 3 + 4)
= 2(n + 9) units
Area of the composite figure = Area of rectangle A + Area of rectangle B + Area of rectangle C
= (3 × 4) + (n ×2) + (2 × 3)
= 12 + 2n + 6
= 2n + 18
= 2(n + 9) units²
Therefore, perimeter of the given figure = Area of the figure
A store purchased a plasma screen TV for $770 and marked it up 150%. During a sale, the store marked it down 20%. What was the discount price on the plasma screen TV?
Answer:
1540
Step-by-step explanation:
First find the new price after the markup
The markup is
770 * 150%
770 * 1.5
1155
Add this to the original price
770 + 1155
1925
Now find the discount
1925*20%
1925*.20
385
Subtract this amount from the 1925
1925-385
1540
The final price is 1540
Answer:
Solution given:
cost price [c.p] of TV =$770
MP=c.p+ 150% of c.p=$770+150/100×770=$1925
discount [D]=20%
now
discount amount=D% of MP=20/100×1925=$385 is your answer.
$385 was the discount price on the plasma screen TV.
I Need help ASAP.(please )
It takes Jason 30 minutes to wash the dishes, but it takes 50 minutes for his younger brother. How many minutes will it take to wash the dishes if they work together? Round your answer to the nearest hundredth if necessary.
find the slope and y-intercepts of the line below & write the equation of the line.
Answer:
m=3 b=-2 y=3x-2
Step-by-step explanation:
The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.
The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b
The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.
last year, 15 dogs entered the local dog show. this year, 27 entered. what is the percent increase?
Answer:
80%
Step-by-step explanation:
Find the solution to the equation.
7m = 112
Answer:
m= 16
Step-by-step explanation:
You are organizing a school banquet. You spend $82 on decorations. Dinner will cost $13 for each person that attends. In the equation y=13x+82, y is the total cost of the banquet for x people. Complete the solution (69,?) to find the cost for 69 people.
Answer:
(69,979)
Step-by-step explanation:
In the coordinates, x is represented as 69. We can now insert this into the equation.
y = 13x + 82
Now to insert x.
y = 13(69) + 82
Now we can multiply 13 by 69.
13*69 = 897
Now fix the equation.
y = 897 + 82
Now add to get our y.
897 + 82 = 979
Substitute into the equation.
y = 979
And there is our answer. We now need to put this into the coordinates.
And we get our final answer of (69,979).
Hope this helps. Have a nice day.
Anything raised to a power of zero is always:
Answer:
1
Step-by-step explanation:
u cant really multiply anything so it 1
please please help me with number 28 i’ll mark b
Answer:
both
Step-by-step explanation:
given sss, you will need to use Law of Cosines.
However, one you get one of the angles, the easiest way to solve for the second angle is to just use law of sines.
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT PLS DONT GET WRONG IF U DONT KNOW
Answer:
C) x = 9
Step-by-step explanation:
6/4 = x/6
4x = 36
x = 9
Grant walks 4/5 of a mile in 1/4 hour. What is his ratio of miles to hours in simplest form?
Answer:
You can always ask the tutor they give the correct answer :))
Evaluate.0.2 power of 4 =
Answer:
0.0016
Step-by-step explanation:
The expression 0.2 by the power of 4 when evaluated has a value of 0.0016
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
0.2 by the power of 4
Express as an equation
So, we have
0.2 by the power of 4 = 0.2⁴
When expanded, we have
0.2 by the power of 4 = 0.2 * 0.2 * 0.2 * 0.2
Evaluate the products
This gives
0.2 by the power of 4 = 0.0016
Hence, the solution is 0.0016
Read more about expression at
https://brainly.com/question/30492964
#SPJ6
How many different 5-digit PIN codes are there that only include the digits 7, 2, 4, 6, 9 and 3?
Answer:
720
Step-by-step explanation:
6*5*4*3*2=720
Apple juice and cranberry juice have been mixed in the ratio of 4:5. If the price of apple juice is 45 cents per pint and the price of cranberry juice is $0.8 per pint, what should the price of one pint of the mixture be?
Answer:
$0.24
Step-by-step explanation:
The computation of the price of the one pint of the mixture is shown below:
Since the ratio of apple juice and cranberry juice is 4:5
And, the price of apple juice is 45 cents i.e. = 0.45 × 4 ÷ 9 = 0.2
Also the price of cranberry juice is $0.8 = $0.08 × 5 ÷ 9 = 0.04
SO, the price of one pint of the mixture is
= 0.2 + 0.04
= $0.24
Answer:
$0.24444
Step-by-step explanation:
There are 568 kiloliters of soup in a pot. How many liters of liquid did the chef use for this recipe?
.568 L
5.68 L
568,000 L
5,680 L
HELLLP
Answer:
568,000L
Step-by-step explanation:
1 Kiloliter = 1,000 Liters
568 x 1,000 = 568,000
GUYS HELP HELP HELP PLEASE HELP
Help me with this!! Will mark Brainliest!!!
Answer:NO!!
Step-by-step explanation:
RS distance of 2 while TU distance of 1
Find the radius of a circle with a diameter of 16
Answer: R = 8
Step-by-step explanation:
The Radius is R = 8. Give me Brainiest PLZZZ!!!
Answer:8 maybe?????
Step-by-step explanation:
The sides of a rectangle are in the ratio of 6:5. The perimeter is
132cm. What is the length of the longest side?
Help please.
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
Help me pleaseeeeeee
Answer:
56
Step-by-step explanation:
Answer:
i think it is 56 if it is wut i think it is
Step-by-step explanation: