Answer:
200
Step-by-step explanation:
160/x=80/100 find x by cross multiplying meaning 80x=16000
16000/80=x
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]
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
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
If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
Step-by-step explanation:
Given that,
DE = 8x - 13
EF = 5x + 17
DF = x + 21
Also,
DE = EF
which means that,
8x - 13 = 5x + 17
8x - 5x = 17 + 13
3x = 30
x = 30/3
x = 10
Now,
DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm
EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm
DF = x + 21 = 10 + 21 = 31cm
Which equations are equivalent to the equation?
Answer:
B C D
Step-by-step explanation:
Rewrite
as a unit rate.
Answer:
rewrite what as the unit rate?
Step-by-step explanation:
What is the question
5×(-5+6) distributive law
Answer:
5×(+1)=
5×1=5
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
if you're going for distributive law then 5(-5)+5(6). -25+30. so 5
The price of a skirt was increased from $40 to $64. By what percentage was the price of the skirt
Increased?
Answer: 11 percent
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
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 )
Sarah was sitting in a seat at a baseball game when another ticket holder showed her she was in the wrong seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right. Which rule describes the translation needed to put Sarah in the correct seat?
Answer: [tex](x,y) \to (x+3, y-5)[/tex]
The x turning into x+3 means she moves 3 seats to the right
The y turning into y-5 means she moves 5 rows down.
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
can you please tell me if i got these right
Answer:
They are right! Great job!!
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
Will give BRAINLIEST if right!
How do I Write the vertex as an ordered pair for f(x) = x^2 + 2x - 3
Answer:
Vertex is (-1, -9)
Step-by-step explanation:
To find the x-value of the vertex, we use the formula
x
=
−
b
2
a
(This is considered the axis of symmetry).
a
=
1
and
b
=
2
with
c
=
−
8
(These are the numbers in order)
By substituting we get
x
=
−
(
2
)
2
⋅
1
, which simplifies to
x
=
−
1
.
Once you find x, substitute back into the equation to find y.
y
=
(
−
1
)
2
+
2
(
−
1
)
−
8
y
=
1
−
2
−
8
y
=
−
9
Putting the two numbers together you get the coordinates
(
−
1
,
−
9
)
.
I WILL MARK BRAINLIEST!!
Answer:
Option 3
Step-by-step explanation:
3/2 times x - 3 = y can also be:
y=3/2 times x-3
-3 is the y-intercept. This is one of the points, (0,-3).
Now, you need to solve for x. Say y equals 0.
3/2 times x-3 will equal 0.
3/2 times 2 = 6/2 which equals 3. You can solve the equation now.
3/2 times 2 - 3 = 0
2 is the x-intercept. This is the other point in the line, (2,0).
So the answer is Option 3
A recipe for pasta dough say's use 150 grams of flour per large egg how much flour is needed if 6 larg eggs are used ???
3(2x – 14) = -3(-13 + x)
Answer:
9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
AnswerX=9
Step-by-step explanation:
6x-42=39-3x
you pay $175 for 5 football tickets. How much will you for each (1) ticket?
Answer:
Step-by-step explanation:
175 ÷ 5 = 35
$35 per ticket
Answer:
35
Step-by-step explanation:
It's cuz you want to know how much one ticket costs right?
Sp do 175 divded by 5
You should get 35 as the answer!
Given: ABC is a right triangle with right angle C. AB= 14 centimeters and mA = 33°
What is AC?
Enter your answer, rounded to the nearest tenth, in the box
Answer:
AC ≈ 7.6 cm
Step-by-step explanation:
I've attached a drawing of this problem below as a visual aid.
We know that this is a right triangle (one of the angles is 90°), one of the other angles (mA) is 33°, and the hypotenuse (AB) is 14 cm. We need to calculate the length of one of the other sides. We can use sine, cosine, or tangent.
Remember SOHCAHTOA?
→ soh (Sine = Opposite / Hypotenuse)
→ cah (Cosine = Adjacent / Hypotenuse)
→ toa (Tangent = Opposite / Adjacent)
The side we want to calculate happens to be adjacent to the angle mA (33°). So, we use cosine. We put in the values we know and solve for x, the missing side:
→ sin(33°) = [tex]\frac{x}{14}[/tex]
→ x = sin(33°) × 14
→ x ≈ 7.6
The length of AC is 7.6 centimeters.
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
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.
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
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.
I need help with this please!
Answer:
Step-by-step explanation:
its 9
help plzzzzzzz i really need it
Answer:
2n+2*3-6n
(-2*-3)+4n-(4n*2)
Colin used 2 gallons of tan paint, 5 gallons of blue paint, and 1 gallon of green paint to paint the rooms in his house. What is the ratio of the number of gallons of green paint to the number of gallons of tan paint that Colin used?
Answer:
The ration of the number of gallons of green paint to the number of tan paint Collins used is 1 is to 2
Step-by-step explanation:
The given parameters are;
The number of gallons of tan paint = 2 gallons
The number of gallons of blue paint = 5 gallons
The number of gallons of green paint = 1 gallons
Therefore, the ration of the number of gallons of green paint to the number of tan paint Collins used = (The number of gallons of green paint Collins used):(The number of tan paint Collins used) = 1 gallons:(2 gallons) = 1:2
The ration of the number of gallons of green paint to the number of tan paint Collins used = 1 is to 2.
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! ^_^
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
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