10. You pay $45.50 for 10 gallons of gasoline and 2 quarts of oil at a gas station. Your friend pays $14.75
for 3 gallons of same gasoline and 1 quart of the same oil. Write and solve the system of equation to find
the price of 1 gallon of gas and 1 quart of oil.
I

Answers

Answer 1

Answer:

0=0 (true)

Step-by-step explanation:

You: 10x+2y=45.50

Friend:

5x+y=22.75

*multiply by 2

10x+2y=45.50

now you subtract both equation...

10x+2y-10x-2y=45.50-45.50

0=0


Related Questions

please help solve this math question

Answers

Answer:

4# |  267

Step-by-step explanation:

There are  3 numbers in the 40's in the data:

42, 46 and 47.

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

A because a ray is a set of straight lines that pass through a point so I think it’s A

The table below lists four potential investments. The time for all of the investments is 5 years, and compound interest is compounded annually.



Which investment produces the most interest?

Answers

Answer:

Investement P

Step-by-step explanation:

Solve the system of linear equations. separate the x- and y- values with a coma. -4x+3y=-17 -3x+4y=-11

Answers

Answer:

1, 5

Step-by-step explanation:

I may be a little wrong but;

Multiply it by 3 and 4-

-12x+9y=-51

12x-16y=44

-7y=-7

y=1

x=5

 Mrs. Lee earned a $3,000 bonus at work. She will use $1,737 of it to replace her water heater. If she wants to divide the rest of the bonus evenly between her 3 children, how much will each child receive?

Answers

Answer: 421

Step-by-step explanation:

Subtract 3,000 by 1,737 and the product of that divided by 3 which will give you 421

80 people enter a​ single-elimination chess tournament.​ (If you lose one​ game, you're​ out.) Assuming no ties​ occur, what is the number of games required to determine the tournament​ champion?

Answers

Answer:

Forty games

Step-by-step explanation:

80 ÷ 2 = 40

40 games are required

how to solve 3x+4y=36
y=-1/2x+8

Answers

Answer:

x = 4

y = 6

Step-by-step explanation:

3x + 4y = 36 ⇒ ( 1 )

y = - 1/2x + 8 ⇒ ( 2 )

( 2 ) × 2

2y = -x + 16 ⇒ ( 3 )

2y + x = 16

x = 16 - 2y ⇒ ( 4 )

Let us replace x with ( 16 - 2y ) and the value of y.

For that, let us use the equation (1).

3x + 4y = 36

3 ( 16 - 2y )  + 4y = 36

48 - 6y + 4y = 36

48 - 2y = 36

48 - 36 = 2y

12 = 2y

Divide both sides by 2.

6 = y

Now let us replace y with 6 and find the value of x.

For that let us use equation 4.

x = 16 - 2y

x = 16 - 2 × 6

x = 16 - 12

x = 4

15/2 + 13/8+ 14/4+ 2/1+52/8+36/4=

Answers

Answer:

30.125

the answer is 30.125 so that is the answer of this question

2/5 = 1/2x how would i solve this

Answers

[tex]\dfrac 25 = \dfrac 12 x\\\\\implies x = \dfrac{2 \times 2 }5 = \dfrac 45[/tex]

if sin = 3/5, than cos =

Answers

Answer:

cos θ = 4/5

Explanation given below in the image,

I hope my answer helps you.

Please I really need help

Answers

Answer:

NM = 17, LY = 5, m<NLY = 53.13 degrees, m<NMY = 28.07 degrees

Step-by-step explanation:

To solve for NM, you just use the Pythagorean theorem,

[tex]8^{2} + 15^{2} = x^{2}[/tex]

64 + 225 = [tex]x^{2}[/tex]

289 = [tex]x^{2}[/tex]

[tex]17 = x[/tex]

To solve for LY, you can use geometric mean,

[tex]\frac{10}{y} = \frac{15+y}{10}\\\\100 = 15y + y^{2} \\y^{2} +15y - 100 = 0\\(y+20)(y-5) = 0\\y= 5[/tex]

To solve for the other angles, use the inverse.

Sin-1, = 8/10

= 53.13

Other angle =

Tan-1 = 8/15

= 28.07

Hope this helps, I put a lot of time into this :)

The perimeter of the rectangle is 104 ft.
2x+4
X

What is the length and width

Answers

Answer:

x=16ft 2x+4=36

Step-by-step explanation:

perimeter o rectangle=2(l+b)

2(2x+4+x)=104

4x+8+2x=104

x=16ft,2x+4=36ft

[90 POINTS] An air conditioning system needed for a new warehouse is built in the shape of a rectangular prism. The warehouse is 250 feet long, 125 feet wide, and 22 feet high. A one-ton air conditioning unit can cool 12,000 cubic feet.
What is the volume of the warehouse, and what size air conditioner is needed?

Answers

Answer:

The warehouse has 31,250 cubic feet of space.

The air conditioner has to be at least 55 tons.

Answer:

687,500 for first blank

60 tons for second blank

Step-by-step explanation:

It is correct on edmentum

A recent survey found that 5% of the population of the United States is unemployed. If Charlotte, North Carolina, has 30,850 unemployed, what is the population of Charlotte?
The population of Charlotte, North Carolina is approximately_____?

Answers

Answer:

617000

Step-by-step explanation:

Division reverses multiplication.

If the total population of Charlotte which we'll call 'x' follows

x * 0.05 = 30850, then

30850 / 0.05 = x

x = 617000

Smith has p small balloons and 20 big balloons write the expression that shows how many balloons smith has?

Answers

Smith's balloon is an algebraic expression

The expression that represents how many Balloons Smith has is p + 20

How to determine the number of ballons?

The given parameters are:

Small = p

Big = 20

Add the number of small and big ballons to get the total number of ballons

Total = Small + Big

This gives

Total = p + 20

Hence, the expression that represents how many Balloons Smith has is p + 20

Read more about expressions at:

https://brainly.com/question/723406

What is the perimeter of a sandbox thats 60 inches wide and 125 inches long

Answers

Answer:

370 inches

Step-by-step explanation:

To find the perimeter of a figure, you need to add all sides together.

60 + 60 + 125 + 125 = ?

60 + 60 = 120

125 + 125 = 250

120 + 250 = 370 inches

For this question, I solve Q.1, but I cannot solve Q2.

Q1. Suppose that the balance of a person’s bank account in Superior, WI is normally distributed with mean $580 and standard deviation $125. Find the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents.

Q2. For the same setup as in Problem 2, find the probability a random person from
Superior has less than $400 or more than $1000 in their bank account.

Answers

The amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

How to get the z scores?

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p-value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

Let we take:

X = The balance of a person’s bank account in Superior, WI

Then, by the given data, we have:

[tex]X \sim N(\mu = 580, \sigma = 125)[/tex]

Let the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents be X = x dollars. This is the money, below which lie 80% of Superior, WI residents, and so as their income, or values of X.

Symbolically, we have:

[tex]P(X < x) = 80\% = 0.8[/tex]

Converting X to standard normal variate Z, we have:

[tex]Z = \dfrac{X - \mu}{\sigma} = \dfrac{X - 580}{125}\\[/tex]

Thus, the probability statement can be rewritten as:

[tex]P(X < x) =0.8\\P\left( Z < z = \dfrac{x -580}{125} \right) = 0.8[/tex]

From the z-tables, the value of Z for which the p-value comes out as between 0.84 and 0.85, let it be their average 0.845.

Thus, we get:

[tex]P(Z < z = 0.845) \approx 0.8[/tex]

Thus, we get:

[tex]z = \dfrac{x - 580}{125} \approx 0.8\\\\x \approx 0.8 \times 125 + 580 = 680[/tex]

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx.

Now, for second question, we need:

The probability a random person from Superior has less than $400 or more than $1000 in their bank account.

So, income of a random person from Superior is a random value of X.

So, this probability is written as:

[tex]P(400 < X < 1000)[/tex]

Rewritting it, we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)[/tex]

Converting X to Z (standard normal variate), we get:

[tex]P(400 < X < 1000) = P(X < 1000) - P(X \leq 400)\\\\P(400 < X < 1000) = P\left(Z < \dfrac{1000-580}{125} \right) - P\left(Z \leq \dfrac{400-580}{125} \right)\\\\P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)[/tex]

The p-value for Z = 3.36 is 0.9996

The p-value for Z = -1.44 is 0.0749

Thus, we get:

[tex]P(400 < X < 1000) = P( Z \leq 3.36) - P(Z \leq -1.44)\\\\P(400 < X < 1000) = 0.9996 - 0.0749 = 0.9247[/tex]

Thus, the probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Thus, the amount of money which would guarantee a person has more money in their account than 80% of Superior, WI residents is $680 approx. The probability a random person from Superior has less than $400 or more than $1000 in their bank account is 0.9247

Learn more about z-score here:

https://brainly.com/question/21262765

#SPJ1

Finish the polynomial by adding one number to make it a perfect square

x^2+18x+

Answers

Answer:

81

Step-by-step explanation:

[tex] {x}^{2} + 18x + {(( \frac{1}{2})(18)) }^{2} [/tex]

[tex] {x}^{2} + 18x + {9}^{2} [/tex]

[tex] {x}^{2} + 18x + 81[/tex]

[tex] {(x + 9)}^{2} [/tex]

help omggg help omgg

Answers

Answer:

Θ = 84°

Step-by-step explanation:

using the identity

cosx = sin(90 - x) , then

cos6° = sin(90 - 6)° = sin84°

that is Θ = 84°

10. Cindy is wrapping a birthday present for her sister. The present is in a 10 points
box that has a length of 10 in, a width of 6 in and a height of 4 in. If the
wrapping paper costs $0.25 per square inch, how much would it cost to
wrap Cindy's present? *

Answers

Answer:

$648

First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost

Answer:

$62

Step-by-step explanation:

First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248

Now create a ratio to find the total cost:

[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]

Solve for x by cross multiplying -

x=62

Jordan has a part-time job selling candy. He works 3 hours each day. The function p(x) = 12 + 2x models his daily earnings, where x is the number of candies he sells during the day. Jordan sells 10 to 23 candies per day. Which interval contains all of the values in the range of the function?

Answers

The interval contains all of the values in the range of the function 32 to 58 dollars.

How to find the ranges of the function?

The function is as follows:

p(x)  = 12 + 2x

where

x = number of candies sold during the day.

He sells 10 to 23 candies per day.

Therefore,

x = 10 and x = 23

Hence,

p(10) = 12 + 2(10) = 12 + 20 = 32

p(23) = 12 + 2(23) = 12 + 46 = 58

Therefore, the interval contains all of the values in the range of the function 32 to 58 dollars.

learn more on functions here;https://brainly.com/question/16190887

The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals ​

Answers

Answer:

Negative Reciprocals

Step-by-step explanation:

Consider two slopes being perpendicular to each other:

[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]

You will either receive:

[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]

or:

[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]

Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:

[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]

Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.

Hence, they are indeed reciprocal but also negative as well.

Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.

Are physical activities becoming safer or more dangerous

Answers

The mean amount of money Sadie saves each month is $10,724.29.

What is the mean amount of money saved each month?

Mean is a measure of central tendency that is used to determine the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(10150 + 102211 + 10424 + 10769 + 11155 + 11477) / 7 =  $10,724.29.

To learn more about mean, please check: https://brainly.com/question/25842202

What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
Science Test Scores
See
Leaf
6
1
48
3
2579
24.45
Xay 61 868

Answers

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

Which coordinates best represents the vertex of the graph first correct answer gets Brianliest

Answers

Answer:

The vertex of the graph is:

the minimum point for a parabola that opens upwardsthe maximum point for a parabola that opens downwards

As this parabola opens upwards, the vertex is the minimum point.

From inspection of the graph, vertex = (-3, -1)

Equation of the graph

From inspection we can see that the x-intercepts are when
x = -4 and x = -2

[tex]\sf x = -4 \implies x+4=0[/tex]

[tex]\sf x = -2 \implies x+2=0[/tex]

Therefore:

[tex]\sf y=(x+4)(x+2)[/tex]

Expand:

[tex]\sf \implies y=x^2+6x+8[/tex]

Answer:

[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]

Step-by-step explanation:

Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,

We can move it up or down by adding a constant to the y-value

algebraically

g(x)=x²+C

Clearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to

f(x)=-1

secondly, we know that,

We can move it left or right by adding a constant to the x-value

algebraically,

g(x)=(x+C)²

in case,

C is positive, g(x) moves to the left and vise versa

Since the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes

[tex]f(x) = (x + 3 {)}^{2} - 1[/tex]

simplifying it yields:

[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]

Hence,B is our required answer


Which economic system has no government involvement in the market?
a capitalism
.. communism
C. socialism
l. No economic system is free from government involvement.
Please select the best answer from the choices provided

Answers

Answer: I.

Step-by-step explanation:

Capitalism is clearly not the answer. Capitalist governments such as America have their fingers into the economic trading.

Socialism and Communism sound plausible, but Communism is giving people money by their work, and Socialism is everything is owned by the public. Both still involve themselves in markets, so the answer is I

Answer:

d.

No economic system is free from government involvement.

Step-by-step explanation:

There was 1/2. Of a cake left over from Hannah’s birthday party when she and her sister came home from school the next day they ate 2/3 of the left over cake for a snak. How much of the whole cake did the girls eat

Answers

Answer:

1/3

Step-by-step explanation:

This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.

Find the value of x. Round your answer to the nearest tenth

Answers

Hope you enjoy  :)))))))

3d + d what do i put this is Confusing

Answers

Answer:

4d

Step-by-step explanation:

i think any variable alone with no coefficient equals one

so this problem is like adding the terms 3d + 1d

so 1+3=4

and you use the variable d at the end

therefore the answer would be 4d

hope this helped<3

Answer:

4d

Step-by-step explanation:

3d+d this means 3d+1d because any variable without a coefficient is 1

which means

3d+1d

=4d

hope this helps!!!

Find the diameter of O o. A line that appears to be tangent is tangent. 14 25​

Answers

Answer:

•SEE BELOW•

Let the diameter be represented as x.

Let the diameter be represented as x.Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

segments would be:(14 + x)(14) = 25^2

segments would be:(14 + x)(14) = 25^2196 + 14x = 625

segments would be:(14 + x)(14) = 25^2196 + 14x = 625Subtract 196 from each side

14x = 625 - 196

14x = 625 - 19614x = 429

Divide both sides by 14

Divide both sides by 14x = 429/14

Divide both sides by 14x = 429/14x = 30.6

Divide both sides by 14x = 429/14x = 30.6Diameter = 30.6

HOPE THIS HELPS!MARK AS BRAINLIAST.

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