Answer:
0.45
Step-by-step explanation:
Divide 9 by 20.
A family has two cars. During one particular week, the first car consumed 40 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 1575 miles, and the sum of their fuel efficiencies was 55 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Answer:
Fuel efficiency of first car = 30 miles/gallon
Fuel efficiency of second car = 25 miles/gallon
Step-by-step explanation:
Given that:
Fuel consumed by first car = 40 gallons
Fuel consumed by second car = 15 gallons
Total distance drove by the two cars combined = 1575 miles
Sum of their fuel efficiencies = 55 miles/gallon
To find:
The fuel efficiencies of each of the cars = ?
Solution:
Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.
Let the distance traveled by first car = [tex]x[/tex] miles
So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles
Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon
Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon
As per given question statement:
[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]
Distance traveled by first car = 1200 miles
Fuel used by first car = 40 gallons
So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]
Distance traveled by second car = 1575 - 1200 = 375 miles
Fuel used by second car = 15 gallons
So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]
What is the x- coordinate of the point (6,8)?
A. 6
B. 8
C. -6
D. -8
Answer:
A
Step-by-step explanation:
The coordinate is in the form (x,y) so the x-coordinate would be 6
what is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist
Answer:
19
Step-by-step explanation:
1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.
2. Add. 18 + 1 is 19.
What are the x-intercepts of the function y = x2 - X - 6?
Answer:(3,0) , (-2,0)
Step-by-step explanation:To find the x-intercept, substitute in 0 for y and solve for x
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = {x}^{2} - x - 6 [/tex]
[tex]f(x) = (x - 3)(x + 2)[/tex]
[tex]0 = (x - 3)(x + 2)[/tex]
_________________________________
Hint :
[tex]a \times b = 0[/tex]
[tex]a = 0 \: \: \: or \: \: \: b = 0[/tex]
_________________________________
Thus ;
[tex] x - 3 = 0[/tex]
Add sides 3
[tex]x - 3 + 3 = 0 + 3[/tex]
[tex]x = 3[/tex]
Or
[tex]x + 2 = 0[/tex]
Subtract sides 2
[tex]x + 2 - 2 = 0 - 2[/tex]
[tex]x = - 2[/tex]
Thus the x-intercepts are (( - 2 )) and (( 3 )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
3. What is the total value of digit 3 in the
figure 9837512.61
A 3000
B. 30000.41
C. thirty thousand D. ten thousand
Jackson spent 75% of his money to buy a new MP3 player. The MP3 player costs $90. How much money did Jackson have?
WILL RECIEVE ANYTHING
Answer:
wfek
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 times 0.75 =90
PLEASE DO ALL 4 ASSAPP
Write an equation in standard form of the line shown.
Answer:
All are in the picture
Step-by-step explanation:
lmk if you'd like me to explain more on any of them :)
Sarge completed 1/10 of his report in 4/5 of an hour. At this rate, how much of the report will Sarge complete in 1 hour?
Answer:
1/8
Step-by-step explanation:
Rate is the change of a quantity per unit time
We are told Sarge completed 1/10 of his report in 4/5 of an hour.
We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour
(1/10)/x=(4/5)/1
0.10/x=0.8
Make x subject of the formula we have
X=1/8
Hence 1/8 of the report needed to be completed
There is a relationship between the expected number of tickets sold for a raffle and the dollar value of the prize for the raffle. The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize. Suppose the expected ticket sales for a certain raffle are 1900. Determine the dollar value of the raffle prize.
Answer: The dollar value of the raffle prize = 300
Step-by-step explanation:
Given: The equation T - 6P = 100 describes this relationship, where T is the expected number of tickets sold, and P is the dollar value of the raffle prize.
If T =1900
Then,
[tex]1900-6P=100[/tex] [Put T=1900 in given equation]
[tex]\Rightarrow\ 6P=1900-100\\\\\Rightarrow\ 6P= 1800\\\\\Rightarrow P=\dfrac{1800}{6}\\\\\Rightarrow\ P=300[/tex]
Hence, the dollar value of the raffle prize = 300
Destiny paid $9.60 for a dozen donuts. What is the unit cost for each donut?
Answer:
$0.8
Step-by-step explanation:
dozen=12
$3.60=12 donuts
$3.60/12= 0.8
$0.8
A rock is dropped from a height of 2.5 meters. What is its velocity when it reaches the ground? A. 3.5 meters/second B. 7.0 meters/second C. 12 meters/second D. 14 meters/second E. 49 meters/second
Answer:
7.0 m/s
Step-by-step explanation:
Use the formula vf^2 = vo^2 + 2*a*d
since the rock is dropped, its initial velocity is zero:
vf^2 = 2*9.8*2.5 = 49
vf = 7.0 m/s
B. 7.0 m/s
notice how they tried to trick you with E.
Answer:
B. 7.0
Step-by-step explanation:
i got it right on my test
What is the solution to the equation 3(2x+5) = 3x+4x?
O X=0
O X=4
Ox=5
OX= 15
Answer ASAP will give brainliest to first answer!! (If you didn’t know I half to have 2 people answer before giving brainliest!)
can you please tell me if i got these right
Answer:
They are right! Great job!!
What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , thus
y = x + c ← is the partial equation
To find c substitute (1, 0) into the partial equation
0 = 1 + c ⇒ c = 0 - 1 = - 1
y = x - 1 ← equation of line
help plzzzzzzz i really need it
Answer:
2n+2*3-6n
(-2*-3)+4n-(4n*2)
Chocolate sprinkles cost as much per pound as sugar. Find 1 10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
116=$0.05
hope this helps
The total cost of chocolate sprinkles is $800
What are Place value charts?This is an implementation of the numeral system that shows the value of each digit in a number using their positions
Given that, Chocolate sprinkles cost as much per pound as sugar.
From the complete question, we have the following parameters:
Unit rate = $8.00
Total pounds = 100
Total cost of chocolate sprinkles
So, the total cost of chocolate sprinkles is calculated using the following formula;
Unit = Total / Pounds
This gives
$8.00 = Total / 100
Total = $800
Hence, the total cost of chocolate sprinkles is $800
Read more about place value charts at:
brainly.com/question/12386995
#SPJ5
The blueprints show the deep end of the pool as 8 feet below ground, which
is a depth of -8. The city wants the pool to be 5 feet deeper so a diving
board can be installed.
-(-2-n) simplify please
Answer:
2 - n
Step-by-step explanation:
Subtract a negative is the same thing as adding a positive, so -(-2 - n) is the same thing as 2 - nWhat we did there was cancel out the two minus signs, and formed a positive.I hope this helps!
Need help will mark brainliest
Answer:
Step-by-step explanation:
a. RG=36 since RG=2(RT)
b.
4x+12=10x-15 Since RG and HI are equivalent
12=6x-15 Subtract 4x from both sides
27=6x Add 15 to both sides
4.5=x Divide by 6 on both sides
to double check:
4(4.5)+12=30
10(4.5)-15= 30
so x=4.5
If necessary, use / for the fraction bar. Please reduce to simplest terms
What ratio value is shown by the following double number line? Use / for the fraction bar and do not use spaces.
Answer:
the answer is probably 3/5 since its the starting one so it will be how t started
Step-by-step explanation:
Answer:3:5
Step-by-step explanation:well when you divide 6/10 it equals 3/5.when you divide 9/15 it equals 3/5 and so on.
There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?
[tex]\Large{\boxed{\tt{600 \: Students}}}[/tex]
Question:There are 20 classrooms in the high school with 30 students in each class. How many students are in the school?To find:No. of studentsGiven:Total no. of classrooms = 20 students in each class= 30Answer:Total no. of students in school= Total no. of classrooms×students in each classTotal no. of students in school=20×30Total no. of students in school=600best of luck! ^_^
I need help I dont wear to start
Answer:
Yes! it is there are straight across from each other and will never touch Hope I helped!
Farmer Brown feeds 12.1 kilograms of alfalfa to each of his 2 horses daily. How many kilograms of alfalfa will all his horses have eaten after 21 days? Draw an area model to solve.
Draw your area model on paper, take a picture, and upload it using the image upload icon
If you do not have the ability to upload an image of your work type "Area model is on paper."
what do she meannnn ╰（‵□′）╯
Answer:
i know i stole im trying to level up sorry
Step-by-step explanation:
Answer:
Step-by-step explanation:
iuef ousdfsbhhdfsd
are these equal or not equal?
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16
Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!
Answer
18/36 = 1/2
13/5 > 7/10
3/5 > 5/9
3/8 < 10/16
Write and solve an inequality to represent the situation below.
When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?
7h+h²
PLEASE HELP
.
.
.
.
.
Answer:
what grade are you in
Step-by-step explanation:
Answer:
h(7+h)
Step-by-step explanation:
You would need to factor the h out of ([tex]7h+h^{2}[/tex])
What is the image of (0,7) after a reflection over the x-axis
Answer:
(0, - 7 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(0, 7 ) → (0, - 7 )
Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. How many more miles per gallon did Darnell's car travel after the mechanic worked on it?
Answer:
7.5 miles per gallon
Step-by-step explanation:
Given that:
8 gallons of gasoline traveled 340 miles
After being worked on by the mechanic :
7 gallons travels 350 miles
How many more miles per gallon did Darnell's car travel after the mechanic worked on it?
Obtain the unit mile traveled per gallon before and after the mechanic worked on the car :
Miles per gallon before being worked on by mechanic :
340 miles / 8 gallons = 42.5 miles per gallon
Miles per gallon after being worked on by mechanic :
350 miles / 7 gallons = 50 miles per gallon
(50 - 42.5) = 7.5 miles per gallon
Hence, vehicle moved 7.5 more miles per gallon after bwing worked on by mechanic.
Choose all of the transformations that are rigid motions.
Answer:
I think its is the 3 one if multiple choice then 3 and 4
-4x+5y-x-9y....guys need help
Answer:
-5x-4y
Step-by-step explanation:
Combine like terms:
-4x-x+5y-9y rearrange
-5x-4y.
Hope this helps :D