A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest are white paint that cost $20 per gallon. How many gallons of white paint does the painter buy?

Answers

Answer 1

Answer:

28

Step-by-step explanation:

x=blue

y=white

x+y=40

30x+20y=920

30(x+y=40) ; 30x+30y=1200___[1]

30x+20y=920 ; 30x+20y=920___[2]

[1]-[2] : 30x+30y-30x-20y=1200-920

       10y=280

       y=28

painter buys 28 white gallons


Related Questions

Please help with average rate of change algebra 2

Answers

Answer:

3 units per hour

Explanation:

Time = 9 hours

Difference in sales = 24 (Chromebooks)

24 ÷ 9 = 2.66...

When rounded, it equals 3.

which point is a solution to the following system:
y=-3x-13
x+2y=4

Answers

Hope this can help you

PUHLESEEEEEE HELPPPPPP

Answers

According to pictures:-

1 st picture,

Other names of <1 are - <F, <YFP, <PFY

2 nd picture,

Acute

3 rd picture,

Point E

Answer:

1. ∠F, ∠YFP, ∠PFY

2. Acute

3. Point E

Step-by-step explanation:

Write the equation for each question:
9. the sum of 5 and four times a number is 32

10. four less than the square of a number is 12

11. The product of 3 and four more than a number is 20

Marking Brainliest for whoever answers with the equations

Answers

Answer:

9. 4x + 5 = 32

10. x^2 - 4 = 12

11. (3 x 4) + x = 20

Step-by-step explanation:

Less than = -

Sum = +

A number = x

the square = x^2

The product = multiplication

More than a number = +

Is equals =

Answer:

See below

Step-by-step explanation:

The unknown number is reflected as n.

#9

The sum of 5 and four times a number is 32:

5 + 4n = 32#10

Four less than the square of a number is 12:

n² - 4 = 12#11

The product of 3 and four more than a number is 20:

3*(n + 4) = 20

Postcards cost $2.50 for six.
What's the price for 1 postcard?

Answers

Answer:

about 41 cents

Step-by-step explanation:

About .416 but if your rounding then .42 cents

Need help in 8 seconds ASAP

Answers

1) 1/2
2) 3/10
3) 1/4
4) 1/3
5) 7/30
sorry if im wrong im in a rush :( goodluck !

Deborah needs fabric for her costume. She buys 3.25 yards of material at $5.87 a yard. Question: What is the total cost of the fabric? Round to the nearest cent (hundredths place). You must show your work to receive all possible points. Note: Enter your answer and show all of the steps that you use to solve this problem in the space provided

Answers

Answer:

so you basicly divided 5.87 to 3.25

Step-by-step explanation:

do this : 5.87/3.25=  your answer

heres the lineeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

Z, K and R

and

H ,B and C

........

8. Find f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2 ​

Answers

f(x) < g(x)

(2x + 3) < (3x - 2)

3 < x - 2

5 < x

x > 5

Check:

2x + 3 < 3x - 2

2(5) + 3 < 3(5) - 2

10 + 3 < 15 - 2

13 < 13 --- FALSE

2(10) + 3 < 3(10) - 2

20 + 3 < 30 - 2

23 < 28 --- TRUE

Hope this helps!

Answer:

x < 5

Step-by-step explanation:

f(x) < g(x) if f(x) = 2x + 3 and g(x)= 3x - 2 ​

2x + 3 < 3x - 2 ​

2x - 3x < -2 -3

-x < -5

x > 5

select the line segment

Answers

The answer is D. PQ :)

g(x)=−3x−4, find g ( 5 ) g(5).

Answers

Answer:

-19

Step-by-step explanation:

g(x)=−3x−4

Let x = 5

g(5)=−3*5−4

Multiply

   = -15-4

   = -19

Hey there!

[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]

Hope it help you

What is the equation of the line that is perpendicular to the line x=2 and
goes through the point (1,-3)? *

Answers

Step-by-step explanation:

P(x,y)=(1,-3)

line is perpendicular to x=2 which shows that line is parallel to x-axis.

angle=0°

m=tan(angle)

m=tan0°

m=0

By using point slope form:

y+3=0(x-1)

y+3=0

Note:if you need to ask any question please let me know.

Question 1. (20 points) Evaluate the line integral Z C (x 5y) dx x 2 dy where C consists of the two line segments from (0, 0) to (5, 1) and from (5, 1) to (5, 0).

Answers

There are some symbols missing in your integral. I suspect you meant something along the lines of

[tex]\displaystyle \int_C (x+5y)\,\mathrm dx + x^2\,\mathrm dy[/tex]

but we can consider a more general integral,

[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy[/tex]

One way to compute the integral is to split up C into two component paths C₁ and C₂, parameterize both, directly compute the integral over each path, then sum the results.

Parameterize C₁ and C₂ respectively by

x₁(t), y₁(t)⟩ = (1 - t ) 〈0, 0⟩ + t 〈5, 1⟩ = 〈5t, t

x₂(t), y₂(t)⟩ = (1 - t ) 〈5, 1⟩ + t 〈5, 0⟩ = 〈5, 1 - t

where 0 ≤ t ≤ 1. Then

[tex]\displaystyle \int_C f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = \int_{C_1} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy + \int_{C_2} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy \\\\ = \int_{C_1} \left(f(x_1(t),y_1(t))\frac{\mathrm dx_1}{\mathrm dt} + g(x_1(t),y_1(t))\frac{\mathrm dy_1}{\mathrm dt}\right)\,\mathrm dt \\ + \int_{C_2} \left(f(x_2(t),y_2(t))\frac{\mathrm dx_2}{\mathrm dt} + g(x_2(t),y_2(t))\frac{\mathrm dy_2}{\mathrm dt}\right)\,\mathrm dt \\\\ = \int_0^1 \left(5f(5t,t) + g(5t,t) - g(5,1-t)[/tex]

If f and g agree with what I suggested earlier, the integral reduces to

[tex]\displaystyle \int_0^1 \left(5(5t+5t) + (5t)^2 - 5^2\right)\,\mathrm dt = \int_0^1 \left(25t^2 + 50t - 25\right)\,\mathrm dt = \boxed{\frac{25}3}[/tex]

Another way would be to close the path with a line segment from (5, 0) to (0, 0) and apply Green's theorem. Compute the resulting double integral, then subtract the contribution of the line integral over this third line segment. Provided that f(x,y) and g(x,y) don't have any singularities along this closed path C* or inside the triangle (call it T ) that it surrounds, we have

[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = -\iint_T \frac{\partial g}{\partial x}-\frac{\partial f}{\partial y} \,\mathrm dx\,\mathrm dy[/tex]

where T is the region,

[tex]T = \left\{(x,y) \mid 0\le x\le 5 \text{ and } 0\le y\le \dfrac x5\right\}[/tex]

The double integral has a negative sign because C* has a negative, clockwise orientation.

Then

[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = -\int_0^5\int_0^{x/5} \frac{\partial g}{\partial x}-\frac{\partial f}{\partial y} \,\mathrm dy\,\mathrm dx[/tex]

If f and g are as I suggested, then

[tex]\displaystyle \int_{C^*} f(x,y)\,\mathrm dx + g(x,y)\,\mathrm dy = \int_0^5\int_0^{x/5} (5-2x) \,\mathrm dy\,\mathrm dx = -\frac{25}6[/tex]

From this, we subtract the integral along the line segment C₃ from (5, 0) to (0, 0), parameterized by

x₃(t), y₃(t)⟩ = (1 - t ) 〈5, 0⟩ + t 〈0, 0⟩ = 〈5 - 5t, 0⟩

again with 0 ≤ t ≤ 1.

Then the remaining line integral is

[tex]\displaystyle \int_{C_3} f(x_3(t),y_3(t))\,\mathrm dx_3 + g(x_3(t),y_3(t))\,\mathrm dy_3 = \int_{C_3} x_3(t)\frac{\mathrm dx_3}{\mathrm dt}\,\mathrm dt \\\\ = \int_0^1 -5(5-5t)\,\mathrm dt = -\frac{25}2[/tex]

and so the original line integral is again -25/6 - (-25/2) = 25/3.

Help please due today

Answers

The copy is the exact same as the original, so the scale factor would be 1.

The answer is the first choice

can someone help me please​

Answers

Answer:

The equation in y = mx+b form is  y = (4/3)x - 20/3

The equation in Ax+By = C form is  4x - 3y = 20

There are other ways to express the second equation.

==============================================================

Explanation:

First we must complete the square for x and y.

This will get the equation into (x-h)^2+(y-k)^2 = r^2 form so we can determine the center.

x^2+y^2 - 8x-14y + 40 = 0

(x^2-8x) + (y^2-14y) + 40 = 0

(x^2-8x+16 - 16) + (y^2-14y+49-49) + 40 = 0

(x^2-8x+16) + (y^2-14y+49) + (-16-49+40) = 0

(x-4)^2 + (y-7)^2 = 25

(x-4)^2 + (y-7)^2 = 5^2

This circle is centered at (h,k) = (4,7) and it has radius r = 5.

----------------------

Next, we need to find the slope of line AB such that

A = (4,7) = center of the circle

B = (8,4) = point on the circle, which is the point of tangency

m = slope

m = (y2-y1)/(x2-x1)

m = (4-7)/(8-4)

m = -3/4

The slope of line AB is -3/4. Any perpendicular slope will have us do two things:

flip the fractionflip the sign

that would get us from -3/4 to +4/3 or just 4/3.

The perpendicular slope is 4/3.

----------------------

So we must find the equation of the line with slope m = 4/3 and it goes through (x,y) = (8,4)

That means,

y = mx+b

4 = (4/3)*8 + b

4 = 32/3 + b

4 - 32/3 = b

12/3 - 32/3 = b

(12-32)/3 = b

-20/3 = b

b = -20/3

Therefore, the equation of the tangent line is y = (4/3)x - 20/3

Optionally, we can get this equation into standard form like so

y = (4/3)x - 20/3

3y = 4x - 20 ... multiply everything by 3

3y-4x = -20

-4x+3y = -20

4x - 3y = 20

The diagram is shown below.

Which percent is equivalent to 3/5 ?

Answers

%60 is equivalent to 3/5

Answer:

the answer will be 60 percent

=60%

simplify the expression and enter your answer below
(17^1/7)^7

Answers

What Is the ^ a replacement for? Is it supposed to be a power of 2 sign? Or a +,-,multiple,or division sign? I’ll answer it

through : (- 5, - 5); slope = 3/5

Answers

Answer: y + 5 = 3/5 (x + 5)

Concept:

There are four general forms of equations:  

Slope-intercept form: y = mx + b Point-slope form: y - y₁ = m (x - x₁) Standard form: Ax + By = C Intercept form: x/a + y/b = 1

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-5, -5)

m = 3/5

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y + 5 = 3/5 (x + 5)

Hope this helps!! :)

Please let me know if you have any questions

If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4

Answers

Answer:

Y=K×X

when Y=-8 and X=4

-8=K×4

-8=4K divide both sides by 4

K=-2 constant

To find Y when X=-4,Y=? and K=-2

Y=-2×-4

Y=8

5^{x+1}-5^{x+2}=-2500. Find x

Answers

Answer:

x is 3

Step-by-step explanation:

[tex] {5}^{(x + 1)} - {5}^{(x + 2)} = - 2500 \\ [/tex]

divide all sides by -1:

[tex] {5}^{(x + 2)} - 5 {}^{(x + 1)} = 2500[/tex]

from law of indices:

[tex]( {5}^{x} . {5}^{2} ) - ( {5}^{x} . {5}^{1} ) = 2500[/tex]

factorise out 5^x:

[tex] {5}^{x} ( {5}^{2} - {5}^{1} ) = 2500 \\ {5}^{x} (20) = 2500 \\ {5}^{x} = 125 \\ {5}^{x} = {5}^{3} \\ x = 3[/tex]

Both Raquel and Felipe attempt to make a scale drawing of the original parallelogram shown

Answers

Answer:

lol someone just deleted my answer but like i said i cant really tell you unless you could possibly turn it around like up straight

Step-by-step explanation:

One branch of a stream is 45.27 meters long. It leads into another stream that is 503.62 meters long.
What is the total length of the stream?

Answers

From the information given, the total length of the stream will be 548.89 meters

The length of the first stream =  45.27 meters

The length of the second stream = 503.62 meters

The total length of the stream will be equal to the addition of the length of the first stream and the second stream and this will be:

= 45.27 meters + 503.62 meters

= 548.89 meters

Read related link on:

https://brainly.com/question/24443880

Answer

The correct answer iss 548.89

Step-by-step explanation:

45.27+503.62=548.89

Hope this helps!

SOMEONE PLS HELP will mark brainliest

Answers

Answer:

f(t)=-16t^2+8t+2

Step-by-step explanation:

Take the initial velocity(8)put in for vt. Then take height(2) and put in for s. giving you the equation. f(t)= -16t^2+8t+2

Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone?

how many months?

Answers

599.40 divided by 33.30 equals 18.To check your answer you multiple 33.30 times 18 and it equals to 599.40

Graph the following piecewise function and then find the domain.


[6,9)

(6,9]

(-4,9)

Answers

9514 1404 393

Answer:

  domain: (-4, 9)

Step-by-step explanation:

The graph is defined for all points between -4 and 9, but not for those two points. In interval notation, the domain is (-4, 9).

A group of friends were working on a student film that had a budget of $900 they use 87% of their budget on costumes how much money did they spend on costumes

Answers

To find the answer use multiplication. 87% as a decimal equals 0.87 (87 divided by 100). Then multiply 0.87 by 900. Your answer should be $783.

Use the diagram to find the angle measures
of the triangle. Recall that the sum of the
angle measures of a triangle is 180°
2x
(x+8)

(x+8)° = °
2x =

(SOMEONE PLEASE ANSWER)

Answers

Answer:

x°=43°

2x°=86°

(x+8)°=51°

Step-by-step explanation:

x+2x+x+8=180°[being sum of the angles of triangle]

or, 4x+8=180

or, 4x=180-8

or, 4x=172

or, x=172/4

or, x=43°

Then,

2x=2×43°=86°

(x+8)°=(43+8)°=51°

Please mark me brainliest.

A store sells cheese in half a pound package a recipe calls fpr 1.72 pound of cheese how many packages does the chef need

Answers

Answer:

4 packages

Step-by-step explanation:

Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds

Helppp
Find the measure of ∠3.

Answers

Answer:I think c
Hope this helped

the quotient of a number and 3

Answers

the quotient of a number and three can be written as n/3

Step-by-step explanation:

The quotient of three and number n translate to 3 divide by a number n,given the quotient indicates division or fraction. four more than that value tells us that we simply add a 4

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