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

The diagram shows the shape of a schools auditorium stage. What is the area of the stage?
Do number 5

Answers

Answer:

100 square feet (100 ft²)

Step-by-step explanation:

Formula

Area (trapezoid) = 1/2 x sum of parallel sides x heightArea (parallelogram) = base x height

Area of stage

Area (trapezoid) + Area (parallelogram)1/2 x (8 + 12) x 4 + 4 x 152 x 20 + 6040 + 60100 square feet

Area of trapezoid:-

1/2(Sum of parallel sides×Height)1/2(8+12)×42(20)40ft²

Area of parallelogram

BH15(4)60ft²

Total:-

60+40=100ft²


Peter went to a store. He bought 6.4 pounds of onions, potatoes, and hamburger. If 1.18 pounds was hamburger and 4.75 pounds were potatoes, how many pounds of onions did
Peter buy?

Answers

Answer:

0.47 pounds

Step-by-step explanation:

Simple subtraction!

Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger

Setting the pounds of onions to [tex]x[/tex] we get:

[tex]6.4 = x + 1.18 + 4.75[/tex]

[tex]x=0.47[/tex]

So we get 0.47 pounds of onions!

CAN SOMEBODY SOLVE THIS EQUATION

Answers

Answer:

The tank starts with 32300 gallons and is decreasing by -16.15 gallons per minute

how do i solve this?

Answers

Answer:

33

Step-by-step explanation:

For 4 triangles area 4*(1/2)*4*3=24

base square area 3*3=9

all together 24+9= 33  

While researching the industry she is interested in, Demi sees that the average unemployment rate is 6.3%. How many people, out of every 250, are unemployed? (2 points)
15.75
39.68
45.50
157.5

Answers

Answer:

15.75 is 6.3% of 250.

Formula:
[Percentage] x [Number Given] = [New number]

Help me out please simple

Answers

A straight line is 180 degrees in measure

The straight line is made up of three angles

           --> angle 1

           --> angle 2

           --> angle with a little square on it

                     (angle with a little square means it is 90 degrees in measure)

Let's set up an equation

    [tex]angle1 + angle2 + 90 = 180\\angle1 + 87 + 90 = 180\\angle1 = 3[/tex]

Thus angle 1 is 3 degrees or the second choice

Hope that helps!

in one year the water level of a lake change is b -3/8 in the water level of the lake continue to change at this rate for 7 years how many inches will the water level of the lake have changed​

Answers

Answer:

-21/8 or -2 5/8

Step-by-step explanation:

The lake change is the same for all 7 years so you can subtract -3/8 seven times.

-3/8-3/8-3/8-3/8-3/8-3/8-3/8 = -21/8

as a mixed number it's -2 5/8

What are the zeros of the quadratic function?

f(x)=2x2+x−3
Enter your answers in the boxes.

The zeros of f(x) are ---
and ---

Answers

Answer:

x=-3/2 and x=1 is the zeros of the equation

-15(y2)4 divide 5y3y4

Answers

Answer:

-3y

Step-by-step explanation:

-15(y2)4 ÷5y3y4

Rewrite the division as a fraction

-15(y2)4

 5y3y4

Multiply y3 by y4 by adding the exponents

-5(y2)4

  5y7

Cancel the common factor of -15 and 5

-3(y2)4

  y7

Multiply the exponents in (y2)4

-3y8

 y7

Cancel the common factor of y8 and y7

Factor y7 out of -3y8

y7(-3y)

 y7

Multiply by 1

y7(-3y)

 y7 × 1

Cancel the common factor which is y7 and y7

Rewrite the expression

-3y

 1

Divide -3y by 1

-3y

find the measure of angle m and give your reasons for each step

Answers

Answer:

m=56

Step-by-step explanation:

So look at the angles. I learned this in geometry like 2 years ago. I believe it was the opposite angle theorem or the alternate exterior or interior angles. You should look on the internet about that.

Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain

Answers

Answer:

A = 0

__________________________________________________________

Solve

Although the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.

0 ÷ a(0) = 0

a(0) ÷ a(0) = 0

__________________________________________________________

Questions?

Ask in the comments.

BRAINLIEST!!!

Given the figure below, find the values of x and z.

Answers

Step-by-step explanation:

87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20

Answer:

=> z = 87° { vertically opposite angle }

=> 87° + (9x-87) = 180° { linear pair }

=> 87 +9x-87 = 180

=> 9x = 180°

=> x = 180/9

=> x = 20°

f(x) = x^2. What is g(x)?

A. g(x) = 2x^2
B. g(x) = (1/4 x)^2
C. g(x) = 1/2 x^2
D. g(x) = (1/2 x)^2

Answers

C would be your answer i hope i helped you :) sorry if i’m incorrect. i’m not sure

What are the last two digits of 7^1867? ​

Answers

Considering that the powers of 7 follow a pattern, it is found that the last two digits of [tex]7^{1867}[/tex] are 43.

What is the powers of 7 pattern?

The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for [tex]7^n[/tex], we have to look at the remainder of the division by 4:

If the remainder is of 1, the last two digits are 07.If the remainder is of 2, the last two digits are 49.If the remainder is of 3, the last two digits are 43.If the remainder is of 0, the last two digits are 01.

In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of [tex]7^{1867}[/tex] are 43.

More can be learned about the powers of 7 pattern at https://brainly.com/question/10598663

Find two integers whose sum is 11 and whose product is 30.

Answers

5 + 6 = 11

5 x 6 = 30

Pls answer my math, thank u​

Answers

Answer: question 1 equals 31 Over 8 or 3.875 .

question 2 equals 425 over 24 .

question 3 equals 41 over 6 or 6.83333333

question 4 equals 55 Over 14

Step-by-step explanation: hope it helps you .

Tell if the slope is positive, negative, zero, or no slope.

Answers

Answer:

No slope.

Step-by-step explanation:

There is no such thing as a vertical slope, meaning that there is no slope. I hope this helps! :)

Answer:

No slope

Step-by-step explanation:

The line is going straight up :)

Brainliest pls?

1. Analiza cada problema y realiza su diagrama.
a. En sus vacaciones, los 25 alumnos de cuarto grado "C", decidieron ir de viaje. A
Paracas (P) fueron 10, a Arequipa (A) viajaron 15 y a los dos lugares fueron 7.
Los demás alumnos se fueron a Chosica.
Diagramar:
w
Completar:
POA={ }
PUA = {
}

Answers

Invitamos cordialmente a leer el desarrollo del problema para mayor detalle sobre el análisis de la situación y la construcción del diagrama.

Cómo construir un diagrama a partir de un enunciado

En esta pregunta debemos elaborar un diagrama de flujo, puesto que el enunciado muestra de manera evidente una clasificación de los viajeros según las ciudades de destino.

Nótese que se trata de un diagrama bastante simple, dado que no existe evidencia de jerarquización entre las ciudades mencionadas.

Tras una lectura cuidadosa del enunciado encontramos que de 25 estudiantes de cuarto grado "C" que decidieron irse de viaje, 10 viajaron a Paracas, 15 viajaron a Arequipa, 7 viajaron a los dos lugares citados y 3 viajaron a Chosica.

A continuación, presentamos el diagrama de flujo asociado a este caso en la imagen adjunta abajo.

Para aprender más sobre diagramas, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/10092453

find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1​

Answers

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

1st Method Given;Sum of zeroes = α + β = (-b)/a = 1/4Product of zeros = αβ = c/a = 1

Where,

a = 4b = 1c = 4

So, one quadratic polynomial satisfying is given condition is 4x² x 4 = 0

2nd Method

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

(α + β)x + αβ

x² – 1/4x + 1

4 x 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.

Question
The sum of the measures of the angles of a triangle is
180. The sum of the measures of the second and third angles is five
times the measure of the first angle. The third angle is 30 more than the second. Let T. y, and z represent the measures of
the first, second, and third angles, respectively. Find the measures of the three angles.
Provide your answer below:

Answers

Answer:

t = 30°y = 60°z = 90°

Step-by-step explanation:

The given relations can be used to write three equations for the angle values.

Setup

  t + y + z = 180 . . . . . sum of all angle measures

  y + z = 5t . . . . . . . . second and third total 5 times the first

  y + 30 = z . . . . . . third angle is 30 more than the second.

__

Solution

Using the third equation to substitute for z in the first two equations gives ...

  t + y + (y +30) = 180   ⇒   t +2y +30 = 180

  y + (y +30) = 5t   ⇒   2y +30 = 5t

Using the second of these equations to substitute for (2y+30) in the first, we have ...

  t +5t = 180

  t = 180/6 = 30 . . . . . . divide by the coefficient of t

Using this value in our equation for 5t gives ...

  2y +30 = 5(30)

  2y = 120

  y = 60

Then the value of angle z is ...

  y +30 = z = 60 +30

  z = 90

The first, second, and third angles are 30°, 60°, and 90°, respectively.

The graph of a system of two linear equations is a pair of
lines that intersect at the origin. Which statement is true of
the system?

Answers

Answer:

They both have a y intercept of 0

Step-by-step explanation:

Linear equations are written in the form y = mx + b. m is the slope and b is the y-intercept. It also states that they intersect at the origin, so they must have a y-intercept of 0.

a] The area of a square is 200 cm² Find the length of its diagonal.​

Answers

Answer:

[tex]"20cm"[/tex]

Step-by-step explanation:

[tex]Area\ of\ rq=a^2[/tex]

[tex]a=\sqrt{200}=10\bullet \sqrt{2}[/tex]

[tex]d\ iargul=\sqrt{2}9[/tex]

             [tex]=10\times \sqrt{2}\times \sqrt{2}[/tex]

             [tex]=20cm[/tex]

I hope this helps you

:)

SOMEONE HELP ME PLEASE!! 100 POINTS FOR ANSWER!!
I took a screenshot of my problem.

Answers

Answer:

B it originally cost 12000

Step-by-step explanation:

the depriciation factor is  0.75^t and the original value was 12000

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

[tex]V(t)=12000(0.75)^t[/tex]

[tex]V(0)=12000(0.75)^0=12000[/tex]

[tex]V(1)=12000(0.75)^1=9000[/tex]

[tex]V(2)=12000(0.75)^2=6750[/tex]

etc.

⇒ Initial cost = $12,000

⇒ The motorcycle's value is decreasing by 25% each year.

How to simplify in laws of exponents ​

Answers

Answer:

You multiply the exponents and or to keep the base the same.

Step-by-step explanation:

I apologize if it is incorrect-

I hope it helps! Have a great day!

Anygays-

what is the unit rate of 36 ounces of 5.79

Answers

A unit ounce is 0.16

If 36 ounces worth 5.79, 1 ounce will be

= 5.79 / 36

= 0.1608

This below in pic is the question i need reason for my answer pls help

Answers

Answer:

The triangle is equilateral, therefore each angle must be 60.

Step-by-step explanation:

pls pls pls pls pls help ill mark brainliest​

Answers

Answer:

Y= 0. There is two that says that so I don't know if it's A or C

Select all the fractions that are equivalent to each other.

(Choose 2)

[tex]hi \\answer \\the \\question[/tex]

Answers

8/14 and 4/7 are equivalent

Answer: You should try to multiply and divide try then question me back. But the answers are neither of them.

Step-by-step explanation:



A solid has volume 7 cubic units. The equation k =
represents the scale factor of k by which
the solid must be dilated to obtain an image with volume V cubic units. Select all points which are
on the graph representing this equation.
a. (0,0)
e. (14,2)
b. (1,1)
f. (49,2)
C. (1,7)
(
g. (56,2)
(71)
h (27,3)

Answers

The volume of the solid is the amount of space in it.

The points on the graph are (0,0) and (1,7)

How to determine the points?

The volume is given as:

V1 = 7

The scale factor is given as:

k

Let the new volume be V.

So, we have:

V = V1 * k^3

Substitute 7 for V1

V = 7k^3

Divide both sides by 7

k^3 = V/7

Take the cube root of both sides

k = (V/7)^1/3

Next, we test the options

a. (0,0)

k = (0/7)^1/3

k = 0 --- this is true

b. (1,1)

k = (1/7)^1/3

k = 0.05 --- this is false

c. (1,7)

k = (7/7)^1/3

k = 1 --- this is true

d (7, 1)

k = (1/7)^1/3

k = 0.05 --- this is false

e. (14,2)

k = (2/7)^1/3

k = 0.10 --- this is false

f. (49,2)

k = (2/7)^1/3

k = 0.10 --- this is false

g. (56,2)

k = (2/7)^1/3

k = 0.10 --- this is false

h (27,3)

k = (3/7)^1/3

k = 0.14 --- this is false

Hence, the points on the graph are (0,0) and (1,7)

Read more about volumes at:

https://brainly.com/question/12232378

Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)

Answers

Answer:

triangle KLM is isosceles

Step-by-step explanation:

[tex]kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } [/tex]

therefore it is isosceles.

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