A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week?

Answers

Answer 1

Answer:

the first car has 25 gallons of gases while the second car has 35 gallons of gases


Related Questions

1
9. Adam had 183 pieces of gum. He gave of the pieces to his sister. How many
3
pieces of gum does Adam have left?

Answers

Hi!

Your answer will be: 180.

Reason being: 183-3=180. Also, 180+3=183.

Hope this helps!

Yours Truly,

~~~PicklePoppers~~~

the cost of computer was rs 65000 the price of computer was depreciated 12% compounded yearly how much amount was depreciated in 2 years?find it​

Answers

Answer:

50336

Step-by-step explanation:

The cost deprecates by 12% each year. If we have to find how much it deprecated for 2 years, we will have to calculate how much is 12% of the current price, subtract it, then find how much is 12% equal to again and subtract it once again. Not sure if that's the smartest way to do it though.
Anyway, we have
65000, 12% of 65000 is equal to (65000 * 12) / 100 = 650 * 12 = 7800
After the first year, the price will be:
65000 - 7800 = 57200

Now we do the same thing:
12% of 57200 = 57200 * 12% = 57200 * 12/100 = 57200 / 1 * 12/100 = (57200 * 12) / 100 * 1 = 572 * 12 / 1 = 572 * 12 = 6864
After the second year the price will be:
57200 - 6864 = 50336

An object starts from rest and accelerates at a rate of 3.0 meters per second2 for 6.0 seconds. The velocity of the object at the end of this time is

Answers

a= v-u/t

3 = v-0/6

3 = v/6

v=18 m/s

You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-point baskets and still scores 54 points. The equation 2x+3y=54$ models the total points scored, where x is the number of 2-point baskets made and y is the number of 3-point baskets made. a. Find and interpret the intercepts.

Answers

Answer:

x-intercept: 27, the number of 2-pointers if no 3-pointersy-intercept: 18, the number of 3-pointers if no 2-pointers

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable value of interest.

  2x +3y = 54

x-intercept:

  2x = 54

  x = 27

y-intercept:

  3y = 54

  y = 18

__

By definition, the intercept values are the values that satisfy the equation when the other variable is zero.

x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.

y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.

help pleas Given that f(x)=x^2+3x−7, g(x)=3x+5, and h(x)=2x^2−4, find each of the following. Solve each of the problems showing work.

f(g(x))
h(g(x))
(h−f)(x)
(f+g)(x)

Answers

Answer:

check below!

given functions:

[tex]\sf f(x)=x^2+3x-7[/tex]

[tex]\sf g(x)=3x+5[/tex]

[tex]\sf h(x)=2x^2-4[/tex]

solving steps:

(a)

[tex]\sf f(g(x))[/tex]

[tex]\sf \sf f(3x+5)[/tex]

[tex]\sf (3x+5)^2 + 3(3x+5)-7[/tex]

[tex]\sf 9x^2+30x+25+9x+15-7[/tex]

[tex]\sf 9x^2+39x+33[/tex]

(b)

[tex]\sf h(g(x))[/tex]

[tex]\sf h(3x+5)[/tex]

[tex]\sf 2(3x+5)^2-4[/tex]

[tex]\sf 18x^2+60x+50-4[/tex]

[tex]\sf 18x^2+60x+46[/tex]

(c)

[tex]\sf (h-f)(x)[/tex]

[tex]\sf 2x^2-4-(x^2+3x-7)[/tex]

[tex]\sf 2x^2-4-x^2-3x+7[/tex]

[tex]\sf x^2-3x+3[/tex]

(d)

[tex]\sf (f+g)(x)[/tex]

[tex]\sf x^2 + 3x -7 +3x+5[/tex]

[tex]\sf x^2+6x-2[/tex]

tHanks again everyone ​

Answers

Let's solve

[tex]\\ \rm\rightarrowtail x+2<-3[/tex]

[tex]\\ \rm\rightarrowtail x<-3-2[/tex]

[tex]\\ \rm\rightarrowtail x<-5[/tex]

So

there is a open dot present over -5Less than means left side onwards

Option B

Plz Plz answer this!!!!! You’ll get brainliest if ur right and ull get 15 points Plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz

Answers

Answer:

the last one

Step-by-step explanation:

x^3 + 3x^2 -10x factor polynomial and find zero​

Answers

Answer:

x(x - 2)(x + 5)x = 0, x = 2, x = -5

Step-by-step explanation:

x^3 + 3x^2 - 10x

~Factor

x(x - 2)(x + 5)

Solve for the zero.

x(x - 2)(x + 5) = 0

We know that; x = 0, x - 2 = 0, and x + 5 = 0

x = 0

x - 2 = 0

x = 2

x + 5 = 0

x = -5

Best of Luck!

Here we are provided with an polynomial of degree 3 and we have to factorise it first and then we have to compute it's zeroes.

Given Polynomial:

x³ + 3x² - 10x

Taking common x from all the 3 terms,

➝ x(x² + 3x - 10)

Factorising through Middle term factorisation,

➝ x(x² + 5x - 2x - 10)

➝ x{x(x + 5) - 2(x + 5)}

➝ x(x - 2)(x + 5)

Hence, Factorised !!

Now equating to 0 to find the zeroes of the poly.

➝ x(x - 2)(x + 5) = 0

That means,

x = 0x - 2 = 0x + 5 = 0

So, the zeroes of the polynomial is 0, 2 or -5

And we are done....

Carry On Learning [tex]![/tex]

Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
If he rides for 5 more days, what is the average number of miles he would have to ride
each day to meet his goal?

Answers

Hello there! Allow me to help you!

|| ▼ Answer ▼ ||

4.9 miles

|| ✪ Solution ✪ ||

Step 1:

In this question, we are given the following:

Josiah wants to ride his bicycle 42.5 miles this week.

He has already ridden 18 miles. If he rides for 5 more days,

what is the average number of miles he would have to ride each day to meet his goal?

Step 2:

The details of the solution are as follows:

Total distance = 42. 5 miles

Distance ridden = 16 miles

Number of days left = 5 days

Let the number of miles that'll be ridden for each day be represented by x.

Hence, we have that,

[tex]5x+18=42.5[/tex]

[tex]5x=42.5-18[/tex]

[tex]5x=24.5[/tex]

Divide both sides by 5 we have that,

[tex]x=\frac{24.5}{5}[/tex]

[tex]x=4.9[/tex]

CONCLUSION:

The average number of miles he would have to ride each day to meet his goal =  4.9 miles

Hope this helps!

If you have any questions please ask.



The required average miles for him to ride for 5 days is 4.9 miles per day.

Given that,
Josiah wants to ride his bicycle 42.5 miles this week. He has already ridden 18 miles.
he rides for 5 more days, what is the average number of miles he would have to ride each day to meet his goal is to be determined

What is average?

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Josiah wants to ride his bicycle for a total of 42.5 miles,
he rides for 18 miles by now,
Remaining miles to ride = 42.5 - 18 = 24.5 miles
For 5 day is must ride for average = 24.5 / 5 = 4.9 miles per day.

Thus, the required average miles for him to ride for 5 days is 4.9 miles per day.

Learn more about average here:

brainly.com/question/24057012

#SPJ2

Please help asap! I will gave brainlest!

Answers

Step-by-step explanation:

[tex] \tan(x) \csc {}^{2} (x) - \tan(x) [/tex]

[tex] \tan(x) ( \csc {}^{2} (x) - 1)[/tex]

[tex] \tan(x) ( \cot {}^{2} (x) [/tex]

[tex] = \tan(x) \cot(x) \cot(x) [/tex]

[tex]1 \cot(x) [/tex]

[tex] = \cot(x) [/tex]

HELP PLEASE !!!!!!!!!!!

Answers

[] The equation on the left, 292 [tex]\frac{1}{2}[/tex]  = 18 * 6 [tex]\frac{1}{2}[/tex]  * h

-> Volume is length times width times height. When we plug in all the values we have to solve for h (height) we get this equation.

[] The height is 2.5 inches

-> We will solve the equation above.

-> Multiply 18 by 6 and a half = 117

-> Divide 292 and a half by 117 = 2.5

-> The height is 2.5 inches or 2 [tex]\frac{1}{2}[/tex]inches

292 [tex]\frac{1}{2}[/tex] = 18 * 6 [tex]\frac{1}{2}[/tex]  * h

292 [tex]\frac{1}{2}[/tex] = 117h

[tex]\frac{292 \frac{1}{2} }{117}[/tex]= [tex]\frac{117h}{117}[/tex]

2.5 = 1h

h = 2.5 inches

Find the perimeter of a triangle with sides measuring 10 inches, 14 inches and 15 inches

Answers

Answer:

39

Step-by-step explanation:

Answer:

39 inches

Step-by-step explanation:

Perimeter is found by adding the sides of the object together.

10in. + 14in. + 15in. = 39in.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

A bee population is measured each week and the
results are plotted on the graph. What is the bee
population when it is first measured?

Answers

Answer:

500 bees

Step-by-step explanation:

The initial value is the y-intercept, where a point crosses the y-axis when x=0.

(0, x) = (0, 500)

Hope this makes sense :]

There are 500 bees in the population when it is first measured.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

Every week, a bee population is counted, and the findings are illustrated on the given graph.

According to the given graph, the initial value is the y-intercept, where a point intersects the y-axis when x = 0.

(0, x) = (0, 500)

This means the bee population is 500 when it is first measured.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

The cost of an air conditioner is $
130
. The cost to run the air conditioner is $
0.25
per minute for the first
400
minutes. Write the function that models the total cost of running the air conditioner for the first
400
minutes and determine the key features of the function.



Function:





Domain:





Range:





y−
intercept:





x−
intercept(s):

Answers

A function that models the total cost of running the air conditioner for the first 400 minutes is [tex]T=130 +0.25m[/tex].

Let the number of minutes be m.Let the total cost be T.

Given the following data:

Cost of air conditioner = $130Running cost = $0.25 per minuteTime = 400 minutes.

To write a function that models the total cost of running the air conditioner for the first 400 minutes:

How to solve a word problem.

First of all, we would write an equation to models the total cost of running the air conditioner for the first 400 minutes:

For the total time:

[tex]0.25m[/tex]

For the total cost:

[tex]T=130 +0.25m[/tex]

For the domain:

The value of m is the domain and it can be chosen from 0 to 130.

Domain (m) = [0, 130].

For the range:

A range represents the minimum and maximum value of a data set.

Thus, the value of T would be between 130 and 230.

Range = [130, 230].

For the intercept:

when x = 0, we have:

[tex]y=130 +0.25(0)[/tex]

y = 130.

Intercept = [0, 130]

Read more on word problems here: https://brainly.com/question/13170908

Brainliest if correct

Answers

Answer:

[tex]\frac{5}{10}, \frac{4}{10}, \frac{1}{10}[/tex]  are the numbers you need

Step-by-step explanation:

The least common denominator of those two numbers is 10.

[tex]\frac{1}{2} * \frac{5}{5} = \frac{5}{10} \\\\\frac{2}{5} * \frac{2}{2} = \frac{4}{10} \\\\\frac{5}{10} - \frac{4}{10} = \frac{1}{10}[/tex]

I hope this helps! Have a lovely day! :)

True or false 49 is a irrational number

Answers

Answer:

False

Step-by-step explanation:

49 is a rational number.

Hope this helps:)


10. Solve for x. Round to the nearest degree.

Answers

Answer:

x = 28°

Given:

opposite: 15hypotenuse: 32

using sine rule:

[tex]\hookrightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(x) = \dfrac{15}{32}[/tex]

[tex]\hookrightarrow \sf x = sin^{-1}(\dfrac{15}{32})[/tex]

[tex]\hookrightarrow \sf x = 28^{\circ \:}[/tex]

[tex]\\ \rm\Rrightarrow sinX=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sinX=\dfrac{15}{32}[/tex]

[tex]\\ \rm\Rrightarrow sinX=0.47[/tex]

[tex]\\ \rm\Rrightarrow X=sin^{-1}(0.47)[/tex]

[tex]\\ \rm\Rrightarrow X=28.03[/tex]

Animals help ⚠️BLANK⚠️ flowers when eating it and depositing the seeds in a different area?

FILL IN THE BLANK PLEASE

Answers

Answer:

Animals help pollinate flowers by eating them and depositing the seeds in different areas.

7. The graph was made to compare the costs of renting copy machines
from Ames Business Product to those from Beck's Office Supply. What
information is given by the point of intersection of the two lines? *

Answers

The information given by the point of intersection of the two lines is (d) the number of copies for which the total cost per month is the same for both companies

How to interpret the point of intersection

The point of intersection is the equilibrium point of both companies.

This means that, the point represents where the number of copies and the total cost per month for both companies is equal

Hence, the information given by the point of intersection of the two lines is (d)

Read more about point of intersection at:

https://brainly.com/question/9109827

What is 0.801 in words?

Answers

Answer:

How to Write Out Number 0.801 in Words: eight hundred one thousandths in (US) American English, Number Converted (Spelled Out) to Words.

Errors in the programming language Python can be broadly classified into two types, syntax errors, and logical errors. When writing a program the first time, the probability for syntax errors to arise is 0.3, that for logical errors is 0.5, and that for both errors to occur is 0.1.(a) Find the probability that no syntax errors occur.(b) Find the probability that no errors occur.(c) Find the probability that errors of any type occur.(d) The programmer found a syntax error in the code. What is the probability that there are also logical errors based on this finding?(e) Are the events of having syntax errors and logical errors independent? Also, explain why.

Answers

Answer:

Step-by-step explanation:

a( Pr(no syntax error) = 1-Pr(syntax error arises)

Pr(no syntax error) = 1 -0.3

Pr(no syntax error) = 0.7

b) Pr(no error occurred) = 1-Pr(both error occurred)

Pr(no error occurred) = 1-0.1

Pr(no error occurred) = 0.9

c) Pr(any type of error occurred) = Pr(syntax error occur)+Pr(logical)

Pr(any type of error occurred) = 0.5+0.3 = 0.8

d) Pr(syntax and logical) = Pr(syntax occur)+Pr(logical or syntax occur)

= 0.3+0.1

= 0.4

e) Independent event are events that occurs at the same time. The occurrence of one does not affect the other.

Pr(logical and syntax) = pr(syntax)×pr(logical)

Given

pr(syntax)×pr(logical) = 0.3×0.5 = 0.15

From the question, Pr(logical and syntax) = Pr(both error occurred) = 0.1

Since Pr(logical and syntax) ≠ pr(syntax)×pr(logical), this means that the errors are not independent

Assessment Unit #1B
(FIF.2) Dora said that the mapping below does not represent a function because each value in the
domain is paired with the same value in the range. Explain the error in Dora's reasoning. (1 point)
6
-1
12
0.5
3

Answers

Answer:

i have no idea i think its 0.5 or 12

Step-by-step explanation:

Are these two figures similar? Explain.

Answers

Answer

YES

Step-by-step explanation:

yes, because one of their sides are equivalent.

A home run is hit in such a way that the baseball just clears a wall 15.0 m high, located
152 m from home plate. The ball is hit at an angle of 34.0° to the horizontal, and air
resistance is negligible. Assume that the ball is hit at a height of 1.00 m above the
ground. Use significant figures in your final answer and show your work.
a. Find the initial speed of the ball. {8 Points}

Answers

Hang on I am figuring it out

Which two fixed points define the shape of an ellipse?

A. Center and focus
B. Focus and directrix
C. Two foci
D. Vertex and focus

Answers

For every ellipse E there are two distinguished points, called the foci, and a fixed positive constant d greater than the distance between the foci, so that from any point of the ellipse, the sum of the distances to the two foci equals d .

A circle has a diameter that measures 20 inches. What is the area of the circle to the nearest 10th? Used 3.14 for pi

Answers

Answer:

A≈314.16

Step-by-step explanation:

a circle's diameter is 2 x radius

20/2 = radius

Area formula: A=πr^2

A=π 10^2

A≈314.16

Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A $16.00 B $24.00 C $48.00 D $160.00 ​

Answers

Answer:

D

Step-by-step explanation:

thanks again everyone ​

Answers

Answer:

5 gallons

conversion:

2 cups → 1 pint2 pints → 1 quart 4 quarts → 1 gallon

we have here total 80 cups.

2 cups → 1 pint

80 cups → 40 pints

Then convert it into quartz

2 pints → 1 quart

40 pints → 20 quartz

Then convert quartz into gallons

4 quarts → 1 gallon

20 quartz → 5 gallons

What is this answer and how?

Answers

I’m pretty sure it’s D 18
7+(16-7)/3+8
7+(9)/3+8 (16-7) is where I got the 9
7+3+8 (9/3) got me 3
10+8 (7+3)=10
18

I hope that made sense

The lid of a box is 43 cm² an area the volume of the box is 420 cm3 what is the height of the box?

Answers

Answer: 9.77 cm

Step-by-step explanation:

The volume of the box is length x width x height (V = l*w*h). The area of the lid of the box is the length x width (A = l*w). So, to find the height, you can change the equation to volume / (length x width) = height (V/(l*w) = h). Divide the volume by the area (420/43), to get the answer of 9.77 cm.

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