Marcello is an artist who makes oil paintings and charcoal sketches. He sells each oil painting for $500 and each charcoal sketch for $300. Marcello wants to create 56 works total. Write and solve a system of equations to determine how many pieces of artwork he must sell in order to make exactly $20,000

Answers

Answer 1

Answer:

He needs to sell 25 pieces of artwork.

Step-by-step explanation:

$500 for an oil painting.

$300 for a charcoal sketch.

56 pieces of artwork total.

$20,000 goal.

500 + 300

= 800

$800 for 1 oil painting and 1 charcoal sketch.

20,000 ÷ 800

= 25

He needs to sell 25 pieces of artwork to make $20,000.


Related Questions

how many years old is Earth​

Answers

Answer:

OLD

Step-by-step explanation:

Answer:

4.543 billion years

Step-by-step explanation:

Which two fractions are equal to 2?
A.
11
2
B.
2
4
oc. ? §
D.
2
2
E.
2

Answers

Question:

Which two fractions are equal to 2?

A .1/2      B.2/4      C.2/1     D.2/2     E.4/2

Answer:

C.2/1     and E.4/2

Step-by-step explanation:

Required

Determine equivalent of 2

To do this, we simply evaluate each option

A .1/2      

[tex]\frac{1}{2} = 0.5[/tex]

B.2/4      

[tex]\frac{2}{4} = 0.5[/tex]

C.2/1    

[tex]\frac{2}{1} = 2[/tex]

D.2/2    

[tex]\frac{2}{2} = 1[/tex]

E.4/2

[tex]\frac{4}{2} = 2[/tex]

From the calculations above:

Options (c) and (e) are equivalent to 2

Help asap i will give brainliest;)

Answers

Answer:

Simple the area is 88

Step-by-step explanation:

The inequality below compares two rational numbers. -8/18 > -17/27

Answers

Answer:

I have provided it below

Step-by-step explanation:

- 8/18 > - 17/27

- 0.444444 > 0.62963

So this inequality is TRUE

Hope this helps!!

prove that the sum of any 5 consecutive integers is divisible by 5

pls help me asap​

Answers

The sum of any 5 consecutive integers is, in fact, evenly divisible by 5! Because n was originally defined as an integer n+2 is also an integer. Therefore, the sum of any five consecutive integers is evenly divisible by 5 and the result is an integer with no remainder.

PLS HELP FAST!!!!!!!!!!!

Answers

[tex]\left[\begin{array}{ccc}0&-1\\-3&1\end{array}\right][/tex]

-y

-2x + y

- y determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&0\\1&-3\end{array}\right][/tex]

2x

x-3y

- x determinant

__________________________________________________________

[tex]\left[\begin{array}{ccc}2&-1\\1&1\end{array}\right][/tex]

2x -y

x + y

-system determinant

solve for a, if F= w/9a
need step by step explanation

Answers

Answer:

a=w/9F

Step-by-step explanation:

First multiply 9a to F to have 2 equations equal each other. Divide 9aF by 9F to get a on it’s own.

Steps clear down below

PLEASE HELP ME!! Given the point (5, -12) and r = 13, find cot0

Answers

Answer:

I think it’s 5/-12

Step-by-step explanation:

Not sure but steps below

q - 0.63 = 1.16
solve for q. please

Answers

Answer: Q=1.79

Step-by-step explanation: Move 0.63 to the right and add both numbers then calculate it. So Q=1.79

Which reason is missing in step 2?
CPCTC
definition of supplementary angles
triangle parts relationship theorem
O triangle angle sum theorem

Answers

ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

What are Similar Triangles?

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

learn more about similar triangle

https://brainly.com/question/25882965

find the slope of the line through (5,-5) and (11,8)

Answers

Slope: (y2-y1)/(x2-x1)
(8+5)/(11-5) = 13/6
The slope is 13/6

In the diagram below
Please help I’ll give brainliest

Answers

disclaimer: i haven’t taken geometry for like a year so i’m not 100% sure if i’m right, however i’m doing something a bit similar in pre calc

Kelvin is at his house located at (3, 4) on a coordinate plane and walks to the
store located at (1, 0). The store is located exactly half way between Kelvin's
house and Mitch's house. What are the coordinates of Mitch's house?*
O (1,-4)
O (2.2)
O (5,8)
O (0,0)

Answers

Answer: (2,2)

Step-by-step explanation: If u graph, its gonna be in the middle of both points. Hope this helps :) Easy math

Determine whether x^y•x^z=z^18
is sometimes, always, or never true. Explain.​

Answers

9514 1404 393

Answer:

  sometimes true

Step-by-step explanation:

The equation reduces to ...

  x^y·x^z = z^18

  x^(y+z) = z^18

This is not true in general, but is true for specific cases of x, y, and z. For example,

  4^(7+2) = 2^18 . . . . (x, y, z) = (4, 7, 2)

  4^(7+0) ≠ 0^18 . . . . (x, y, z) = (4, 7, 0)

The equation is sometimes true.

Javine says, "To multiply by 1000, I just add three zeros." Kian says, "I times by 10, then times by 10 and times by 10 again." Do you agree with Javine and Kian's methods for multiplying by 1000? Explain your thinking.

Answers

Answer:

Kian's method is correct.

Step-by-step explanation:

Javine says, "To multiply by 1000, I just add three zeros." He is incorrect.

Kian says, "I times by 10, then times by 10 and times by 10 again. When he multiply 1 by 10, it becomes 10. Then if he again multiply by 10, it becomes 10×10 = 100. And at last when he multiply again 10, it becomes 100×10 = 1000. It means Kian's methods for multiplying by 1000 is correct.

Mickey and Marianna are 15 miles apart on a bike path when they start biking toward each other. Mickey rides at a constant speed of 4 miles per hour, and Marianna rides at a constant speed of 2 miles per hour. How long does it take until Mickey and Marianna meet?

Answers

15 plus 4 times 2Step-by-step explanation:

38

Answer:

2.5 hrs

Step-by-step explanation:

4x2.5=10

2x2.5=5

10+5=15

:)

There are only red counters and blue counters in a bag. The ratio of red counters to blue counters is 5:4. There are 27 blue counters. How many red counters are there?

Answers

Answer:

33.75 red counters

Step-by-step explanation:

Given the ratio of the  red counters to  blue counters as 5:4. The total ratio will be 5 + 4 = 9

If there are 27 blue counters in the bag, the total amount of counters there will be gotten using the expression;

4/9 * x = 27

x is the total counter in the bag.

4x/9 = 27

4x = 9*27

x = (9*27)/4

x = 60.75

The amount of red counters there will be

red counters = Total - blue counter

red counter = 60.75 - 27

red counter = 33.75 red counters

cube root of 8 x 10 to the power of 6
[tex] \sqrt[3]{8 \times {10}^{6} } [/tex]

Answers

Answer:

The answer is 200.

Step-by-step explanation:

The steps are :

[tex] \sqrt[3]{8 \times {10}^{6} } [/tex]

[tex] = \sqrt[3]{8} \times \sqrt[3]{ {10}^{6} } [/tex]

[tex] = {8}^{ \frac{1}{3} } \times {10}^{(6 \times \frac{1}{3} )} [/tex]

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

[tex] = 200[/tex]

Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.

Answers

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

Answer:

Answer given in the photo

for each 24mm of coloured fabric Gordan uses 1.2cm of white fabric. Express the amount of white fabric to coloured fabricas a ratio in its simplest form.​

Answers

Answer:

2:1 I think heheheheeh

Step-by-step explanation:

lol

I will mark brainliest

Answers

im pretty sure its (2,5)

Need help with this question. I will give Brainliest!

Answers

Answer:

See below

Step-by-step explanation:

a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)

b) They are both 4 units away

c) I can't solve

d) I can't solve

The line given by the equation y=x is shifted up 3 units and more steep by a factor of 2. What is
the equation of the new line?
y = 2x - 3
y = 2x- 3
y =1/2x -3
y = 1/2x + 3

Answers

The answer would be y=2x+3

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Answers

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

[tex] \frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2} [/tex]

[tex] \frac{4}{1} = \frac{y_2 - 6}{2} [/tex]

[tex] 4 = \frac{y_2 - 6}{2} [/tex]

Multiply both sides by 2

[tex] 4 \times 2 = \frac{y_2 - 6}{2} \times 2 [/tex]

[tex] 8 = y_2 - 6 [/tex]

Add 6 to both sides

[tex] 8 + 6 = y_2 - 6 + 6 [/tex]

[tex] 14 = y_2 [/tex]

The missing value is 14

In a unit circle, ø = 2pi radians What is the terminal point?
A. (0,1).
B. (0, -1)
C. (-1,0)
D. (1,0)

Answers

Answer:

The terminal point is (1, 0) D

Step-by-step explanation:

In the unit circle, Ф is the angle between the terminal side and the positive part of the x-xis

The terminal point on the positive part of the x-axis is (1, 0),which means Ф = 0 or 2π radians and cosФ = 1, sinФ = 0The terminal point on the positive part of the y-axis is (0, 1),which means Ф = [tex]\frac{\pi }{2}[/tex] radians and cosФ = 0, sinФ = 1The terminal point on the negative part of the x-axis is (-1, 0),which means Ф = π radians and cosФ = -1, sinФ = 0The terminal point on the negative part of the y-axis is (0, -1),which means Ф = [tex]\frac{3\pi }{2}[/tex] radians and cosФ = 0, sinФ = -1

In a unit circle

Ф = 2π radians

→ By using the 1st rule above

The terminal point is (1, 0)

Answer:

(1,0)

Step-by-step explanation:

Can you help me please?​

Answers

Answer: 6[tex]\sqrt{2}[/tex]

Step-by-step explanation: Because the angles are the same, 45 and 45 the other leg of the triangle is also 6.

From there we can use the Pythagorean Theorum to solve for x

6^2+6^2 = 72

so x is [tex]\sqrt{72}[/tex]

which simplifies to 6[tex]\sqrt{2}[/tex]

Answer:

6 rt 2

Step-by-step explanation:

you can use pythagorean theorem (a^2+b^2=c^2)

or since this is a 45, 45, 90 triangle the 2 equivalant sides are equal to each other and the hypotenues is also the legnth of the 2 sides times rt 2

What is the cos x =1.7%2 and x is acute angle

Answers

Given :

cos x = 1.7/2 .

Also, x is an acute angle.

To Find :

The value of angle x.

Solution :

cos x = 1.7/2

Applying cos inverse both the sides, we get :

[tex]cos ^{-1} (cos\ x ) = cos^{-1} \dfrac{1.7}{2}\\\\x = cos^{-1} \dfrac{1.7}{2}[/tex]

Calculating the value of  [tex]cos ^{-1} \dfrac{1.7}{2}[/tex] from calculator, we get :

x = 31.79°

Therefore, the acute angle x is 31.79°.

Explain the differences between a slope of 4 and a slope of 1/3

Answers

Answer:

Slope of 4 is way steeper that 1/3 but they are both positive slopes.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

The value of y is directly proportional to the value of x. If y =35 when x = 140, what is the value of y when x =70?

Answers

17.5 because 140 divided by 35 is 17.5 and so is 70 divided by 35.

1-1 Item 15 The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews totaling 12 grams. a. How many calories do you consume? You consume calories. b. How many cashews are in one serving? There are cashews in one serving.

Answers

Answer:

69 calories

Step-by-step explanation:

Given that :

Number of calories in 28 grams = 161

9 cashews = 12 grams

Number of calories consumed :

28 grams = 161 calories

12 grams = x

Cross multiply :

28x = 161 * 12

28x = 1932

x = 69 calories

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