Car A consumes 25 gallon and car B consumes 15 gallon.
Step-by-step explanation:
Given,
The fuel efficiency of car A = 20 miles per gallon.
The fuel efficiency of car B = 15 miles per gallon.
In a week, two cars went 725 miles and consumed 40 gallons.
To find the consumption of each car in that week.
Let,
Car A consumed x gallon
Car B consumed y gallon.
According to the problem,
x+y = 40 ----- (1)
20x+15y = 725
or, 4x+3y = 145 -------- (2)
From (1) we get, x = 40-y
Putting the value of x in (2) we get,
4(40-y)+3y = 145
or, 160-4y+3y = 145
or, -y = 145-160
or, y = 15
From (1) we get, x = 40-15 = 25
Hence,
Car A consumes 25 gallon and car B consumes 15 gallon.
8. Gravity is a force of attraction between objects based on their mass and their distance apart.
Why aren't other objects, like your pencil, being pulled towards you?
Answer:
Our mass is not great enough to have enough pull to actually move the pencil.
Objects like a pencil aren't noticeably pulled towards you because the gravitational force between objects with relatively small masses, like you and the pencil, is very weak compared to the Earth's gravitational pull.
The reason why other objects, like your pencil, aren't being pulled towards you is due to the relative mass of the objects and the distance between them.
Although every object with mass exerts a gravitational force on other mass objects, this force is extremely weak unless at least one of the objects is very massive, like Earth.
According to Newton's universal law of gravitation, the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
Given that both you and the pencil have relatively small masses, the gravitational attraction between you is minuscule compared to the gravitational pull of the Earth, which is why the pencil falls to the floor when dropped instead of being pulled towards you.
An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample.
Group of answer choices
The population is 570. The sample is 138.
The population is 570. The sample is 300.
The population is 300. The sample is 138.
The population is 138. The sample is 570.
The population is 138. The sample is 300.
The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.
Explanation:In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.
The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.
Therefore, the correct identification is: The population is 570. The sample is 300.
Heeeeeeeeeeeeellllllllllllp
Answer:30
Step-by-step explanation:add all the sides
HELP!!!! which system of inequalities are shown?
I believe the answer is b
Step-by-step explanation:
i think the second one maybe
2x^2-6x-20=0 value of a
Answer:
a = 2
Step-by-step explanation:
The equation 2x² - 6x - 20 = 0 is in standard form for a quadratic formula.
The general equation for standard form is: y = ax² + bx + c
Sometimes we make "y" => 0 when we are finding the roots (x-intercepts).
Notice "a" is attached to x² in the standard form.
In your question, the number attached to x² is 2.
∴ a = 2
using the line of best fit as a guide, predict the number of weeks of practice it would take for someone to type 80 words per minute.
Answer:
8 weeks
Step-by-step explanation:
Please help fast will mark 5 stars
Answer:
1 solution
Step-by-step explanation:
The lines intersect 1 time
Answer:
1 solution
Step-by-step explanation:
The intersection is the one solution.
Solve the equation.
- 2(x + 1) + 3x = 12
X=
Answer:
x= 14
Step-by-step explanation:
Answer:
X= 14
Step-by-step explanation:
-2X-2+3x=12
-2x-2+3x=12
x-2=12
x=12+2
x=14
Which expression is equivalent to the following expression? 2(x + 7)
a. 2x + 7
b. 2x + 9
c. 2x + 14
d. x + 14
Answer:
C
Step-by-step explanation:
Use distributive property. distribute the 2 into both numbers by multiplying them both by 2 and you get 2x + 14
Answer:
I believe the answer is (C) 2x+14.
You have to distribute the 2 and multiply it to the x and the 14.
Step-by-step explanation:
Multiply the x by the 2 to get 2x
multiply the 7 by the 2 to get 14
so the equation is: 2x + 14
I hope this is correct.
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. Which compares the modes of the data? The mode for the students is 2 and the mode for the teachers is 4. The mode for the students is 0 and the mode for the teachers is 1. The mode for the students is 4 and the mode for the teachers is 8. The mode for the students is 2 and the mode for the teachers is 1.
The correct option is The mode for the students is 2 and the mode for the teachers is 4.
To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.
For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.
Comparing the modes of the two data sets, we have:
- Mode for students: 2
- Mode for teachers: 4
The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.
What value is 1/3 (4a + 1) = 1/2a
Answer:
a = -2/5 = -0.400
Step-by-step explanation:
A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.
Fill in the missing amounts to solve the problem.
100 percent is an 18 dollar original price, 25 percent markdown is a, and new price is B
a =
b =
Answer:
a=4.25
b=13.5
Step-by-step explanation:
so basically you just multiply 18 x 0.25 and you get 4.25 then you subtract that from 18
Answer:
4.50 ,13.50
Step-by-step explanation:
ik i hate edgunity too
A streaming video company charges $27.50 to set up an account and $12 per month to
enjoy the service. If Landon paid a total price of less than $243.50 for streaming video, how
many months (m) did he use the company's service?
Answer:
18 months
Step-by-step explanation:
27.50+12x=243.50 let x represent amount of months
subtract 27.50 from both sides
12x=216 divide
18 months
The solution is 18 months
The number of months Landon used the streaming service is given by the equation x = 18 months
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of months be x
A streaming video company charges $27.50 to set up an account and $12 per month to enjoy the service
Let the total cost be represented as y
Landon paid a total price of less than $243.50 ,
So , the value of y = $ 243.50
The inequality equation is 12x + 27.50 < 243.50
12x + 27.50 < 243.50 be equation (1)
On simplifying the equation , we get
Subtracting 27.50 on both sides of the equation , we get
12x < 216
Divide by 12 on both sides of the equation , we get
x < 18
So , the value of x = 18 months
Hence , the number of months is 18 months
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7. You have invested $2500 in a 30-day savings certificate paying 4.15% per annum. Find the
amount of the investment at the end of 30 days.
a) $2551.88
b) $2508.53
c) $2491.50
d) $2603.75
Answer:
B) $2508.53
Step-by-step explanation:
Please refer to the attached image for explanations
Solve for u:
-10.74=u-(−11)
Answer:
u= 0.26
Step-by-step explanation:
Answer:
-21.74Step-by-step explanation:
Solve for u by simplifying both sides of the equation, then isolating the variable.
Find the total volume of the following composite figure with
h=4.3
and
r=3.9
Use 3.14 for LaTeX: \piπ.
Round to the nearest hundredth.
Given:
A composite figure consisting of a cylinder with radius r and height h and a half-sphere with a radius r.
To find:
The total volume of the composite figure.
Solution:
To determine the total volume of the figure, we add the volume of the cylinder and the volume of the half-sphere.
The volume of a cylinder, [tex]V= \pi r^{2} h.[/tex]
The given cylinder has a radius of 3.9 units and a height of 4.3 units. Assume π equals 3.14.
The volume of the cylinder, [tex]V = (3.14)(3.9^{2} )(4.3)= 205.36542[/tex] cubic units.
The volume of a half-sphere, [tex]V= \frac{2}{3} \pi r^{3} .[/tex]
The given half-sphere has a radius of 3.9 units, assume π equals 3.14.
The volume of the half-sphere, [tex]V= \frac{2}{3} (3.14)(3.9^{3} ) = 124.17444[/tex] cubic units.
The total volume of the composite figure [tex]= 205.36542+124.17444=329.53986[/tex] cubic units.
Rounding this off to the nearest hundredth, we get the volume of the cone as 329.54 cubic units.
what are dependent events
Answer:
dependent events are if the outcome of one event affects the outcome of another
christopher's square sandbox has 36 ft² of playing space. it was constructed using 4 boards. One of the sandbox sports needs to be replaced. what Link Board should Christopher's father cut to repair the side of the sandbox?
Answer:
6 feet
Step-by-step explanation:
The area of a square is:
a=s^2, where s is the side
We know the area is 36, so we can substitute that in
36=s^2
Take the square root of both sides
6=s
s= 6 feet
One side is 6 feet, so that is how long the board should be cut.
What is the solution to the equation -4(2x+3) - 2x + 1-(8x + 2)?
30:00 HELP PLEASE 95 pOINTS
Answer:
-18x -13
Step-by-step explanation:
-4(2x+3) - 2x + 1-(8x + 2)
We cannot solve since there is no equals, but we can simplify
Distribute
-8x -12 -2x +1 -8x -2
Combine like terms
-8x-2x -8x -12 +1 -2
-18x -13
Answer:
-8x - 13
Step-by-step explanation:
-4(2x + 3) - 2x + 1 - (8x + 2)
-8x - 12 - 2x + 1 - 8x - 2
-18x - 13
I = 7n + 50.
A- 6
B-8
C-10
D-12
We can substitute I with 120 since that's how much he made in one day.
120 = 7n + 50
~Subtract 50 to both sides
120 - 50 = 7n + 50 - 50
~Simplify
70 = 7n
~Divide 7 to both sides
70/7 = 7n/7
~Simplify
10 = n
Therefore, the saleman made 10 sales.
Best of Luck!
What is one example of an odd trigonometric function? Explain.
Answer:
[tex]sin(-x)[/tex]
Step-by-step explanation:
Odd functions follow the relation of
[tex]f(-x)=-f(x)[/tex]
Lets check for the most trivial value, does
[tex]sin(-0) = -sin(0)[/tex]
Well these values both equal 0, so this is correct!
What about another value?
[tex]sin(- \frac{\pi}{2})=-1\\-sin(\frac{\pi}{2})=-1[/tex]
In-fact this is strictly defined for all values of sin. Meaning that this is an odd function.
The example of an odd trigonometric function is sin(-x).
What is an odd trigonometric function?All functions that involved trig functions could be even, odd, or not. A function could be odd if f(-x) = - f(x)
So, for sin, it is
sin (-0) = -sin(0)
Since these values both equal 0, so this is right
So, here sine be the odd function and cos is an even function.
Therefore, The example of an odd trigonometric function is sin(-x).
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Emma baker 14 cookies she sold 2/7 of the cookies how many cookies did Emma sell?
PLEASE HELP!!!!!!!
Answer:
The answer is 4 cookies
I need help like now
Factor x^2 + 5x + 4 = 0
Answer:
Step-by-step explanation:
x² + 5x + 4 =0
Product =4
Sum = 5
So, factors = 4*1
x² + 1x + 4x + 4*1 = 0
x*(x + 1) + 4*(x + 1) = 0
(x + 1)(x + 4) = 0
solve this equation 8-x2= -17
Answer:
x=25/2
Step-by-step explanation:
8-2x-8=-17-8
-2x=-25
-2x/2= -25/2
Answer:
x=5 or x=−5
they both work
Find the common difference: -18, -23, -28, -33, ..
Answer:
5
Step-by-step explanation:
Between each number there is a change of 5 in the negative direction
Answer:
5
Step-by-step explanation:
Answer for brainliest !!!!! ASAP NOW REALLY EASY
Answer: I believe the answer is 14.04
Step-by-step explanation:
When you divide 3.24 into 3 it gives you 1.08 then multiply it by 13 to get 14.04
Answer:
14.04
Step-by-step explanation:
You have 3 apples. Those 3 apples cost 3.24. He also wants to buy 13 MORE. You find the answer for doing a diagram like this:
A- 3 A- 13
$- 3.24 $- ?
Step 1. Do the diagram and fill it out.
Step 2. Multiply 13 and 3.24
(You get 42.12)
Step 3. Divide the answer (42.12) by 3
(You get 14.04)
And thats how you get the answer.
What kind of angle is EOD and what is it’s measure?
Answer:
Answer:
Part 1) m∠EOD=20°
Part 2) m∠AOD=80°
Step-by-step explanation:
Part 1) Find the measure of angle EOD
we know that °
m∠EOD=m∠EOX-m∠DOX
we have
Observing the figure
m∠EOX=140°
m∠DOX=120°
substitute
m∠EOD=140°-120°=20°
Part 2) Find the measure of angle AOD
we know that °
m∠AOD=m∠DOX-m∠AOX
we have
Observing the figure
m∠AOX=40°
m∠DOX=120°
substitute
m∠AOD=120°-40°=80°
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² - 4x - 12
Step-by-step explanation:
x2 - 4x - 12
Finding factors of 12 then
x2 - 6x + 2x - 12
x( x - 6) + 2 (x - 6)
So the factors are (x+2) (x-6)
Answer: x- 6
Step-by-step explanation: i did it
Find the value of x in the figure.
image
A.
10
C.
16
B.
12
D.
14
Answer:
X = 12
Step-by-step explanation:
42 + 48 = 90 degree angle
4 x 12 = 48