Andrea brought $54.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was one-sixths as much as the sketchbook, and the sketchbook cost three-fourths the cost of the paint set. Andrea had $1.50 left over after buying these items.

Answers

Answer 1

Answer:

See explanation below

Step-by-step explanation:

In this case, I'm assuming you want to know the price of all items purchased by Andrea.

Let's gather all the data.

Andrea has initially 54$. From that she got a Brush (B), a sketchbook (S) and a paint set (P). At the end, she has a left over of 1.5$, so she actually spends 52.5$, and our first equation would be:

B + S + P = 52.5  (1)

Now, the B cost 1/6 as the S, and S was 3/4 the paint set, so oru equations here would be:

B = 1/6S (2)

S = 3/4P (3)

Now, according to this we can write the (1) expression in function of (2) and (3).

Replacing (3) in (2):

B = 1/6 (3/4P)

B = 3/24P

B = 1/8P  (4)

And replacing (3) and(4) in (1) we have:

1/8P + 3/4P + P = 52.5

From here we can solve for P:

15/8P = 52.5

P = 52.5 * 8 / 15

P = 28.16$

Now we can replace this value to get the Sketchbook, and then, the brush:

S = 3/4 * 28.16

S = 21.12$

B = 1/6 * 21.12

B = 3.52$

These values would be the price of all items.


Related Questions

7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 units B. 5 units C. 3 units D. 2 units Reset Submit Coordinate Geometry Tools Save Session Questions: 0 of 10 Answered 1 2 3 4 5 6 7 8 9 10 Answered Current Unanswered 6 of 10 Answered Session Timer: 5:33 Session Score: 33% (2/6)

Answers

Answer:

B.

Step-by-step explanation:

Well to find BC, you have to know B and C

B = (-4, 4)

C = (-4, -1)

The distance is:

√(4 + 1)^2 + (-4 + 4)^2

√25

5

Answer:

5 units

Step-by-step explanation:

What you know about rollin' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that poop in slow motion, yeah

I feel like an astronaut in the ocean, ayy

Out of a survey of 49 randomly chosen students 12 said they were going to attend a concert predict the number the number of students who attend the school

Answers

Answer:

Option C is correct.

The number of students who attend the school is approximately 980.

Step-by-step explanation:

The complete question is presented in the attached image to this question

It is known that 240 students bought concert tickets. That is, 240 students are attending the concert.

But out of a randomly chosen 49 students, 12 say that they are going for the concert.

Using the sample for a prediction or an approximation, the proportion of total number of students going for the concert = (12/49) = 0.245

Let x be the total number of students that attend the school.

This translates to the fact that

(0.245 × x) = 240

x = (240/0.245)

x = 979.6 = 980 to the nearest whole number.

Hope this Helps!!!

Answer: 613 students.

Step-by-step explanation:

Your question does not include the number of tickets sold as that will enable us to find out the number of students.

For that reason I will assume a number and you will then get a reference on how to solve this question.

Let us assume that 150 tickets were sold.

Now if 12 students out of a sample of 49 said they were going to attend and 150 tickets were sold, that means 150 tickets is the number of students that went from the general population.

This means that 12/49 should give us the same as 150/x with x being the total population of the school.

Solving for x,

12/49 = 150/x

12x = 150 * 49

12x = 7,350

x = 7,350 / 12

x = 612.5

x = 613 students.


VOLUME of Rectangle !!
Fill in the blanks -------

1. Length is 6.0, Width is 3.2, HEIGHT ?? ( ANSWER ) total volume 96 cm .
FIND THE HEIGHT HERE !!

2.LENGTH ?? ( ANSWER ) width is 2.0, height 1.1 total volume 22 cm .
FIND THE LENGTH HERE !!

3. length is 12.0, WIDTH ?? ( ANSWER ), Height is 4.0 and the total volume is 120 cm.
FIND THE WIDTH HERE !!

PLEASE....HELP !!! WRITE PROPERLY PLEASE... CORRECT ANSWER PLSS...

Answers

Answer:

see below

Step-by-step explanation:

V = l*w*h

1. V = l*w*h

96 = 6*3.2 h

96 = 19.2h

Divide each side by 19.2

96/19.2 =h

h = 5

2. V = l*w*h

22 = l*2 *1.1

22 = 2.2l

Divide each side by 2.2

22/2.2 =l

10 = l

3. V = l*w*h

120 = 12*w *4

120 = 48w

Divide each side by 48

120/48 = w

w =2.5

Find AB
picture is attached

Answers

Answer: AB = 15 units long.

Step-by-step explanation:

The triangles are identical.

You can infer this from both triangles sharing the side of BD and AD and CD marked as equal in length.

When triangles are identical, all three sides and angles are identical in length and measure, respectively.

Knowing this, we can set the sides of "5x" and "4x + 3" equal to each other in an equation to solve for x:

5x = 4x + 3

x = 3

When x equals 3, multiply x by 5 to find the side length of AB.

AB = 15 units long.

Which statement is best represented by the inequality d less-than 0.35?
The pen costs less than $0.35.
The pencil costs are greater than $0.35.
The toy costs more than $0.35.
The stamp’s cost is equal to $0.35.

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

What is a 3 sided polygon with at least two sides the same length??

Answers

Answer:

An isosceles triangle

Step-by-step explanation:

An isosceles triangle has 3 sides and has two equivalent sides with the same measure

Answer:

Triangle Isosceles

Step-by-step explanation:

Triangle Isosceles is the 3 sided opygon wich has two sides the same lenght


Can anyone help me solve this question thanks?

Answers

This is the answers: X^2+8x+15

Answer:

X^2 + 8x + 15

Step-by-step explanation:

The only like terms are 5x and 3x so you add those together and sinse no other terms are similar you leave the answer at x^2 + 8x +15.

Correct answers only!


To the nearest cent, how much interest will she earn in 3 years?


Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

1180.12

Step-by-step explanation:

p= 4000

r = 9% =0.09

t =3

plug in into  B = p(1 + r)^t

B = 4000(1 + 0.09)^3

B = 4000(1.09)^3

B =5180.116 round to the 2 decimals

B = 5180.12

make the difference between B, the balance (final amount) and  p, the principal (starting amount) = 5180.12-4000 =1180.12

Read more on Brainly.com - https://brainly.com/question/16685853#readmore

Identify all values that are irrational.
-1/3
-3
13
Pi/3​

Answers

Answer:

pi/3  irrational

Step-by-step explanation:

A rational number is the ratio of two integers

-1/3 is two integers  rational

-3 can be written as -3/1  rational

13 can be written as 13/1  rational

pi/3  pi itself is irrational  and cannot be written as an integer

Which expression means the same as “subtract 3 from 7 and then multiply by 4”

Answers

Answer:

4 × (7 - 3)

Step-by-step explanation:

You first subtarct 3 from 7 and then multiply that answer by 4

Answer:

4 × (7 - 3)

Step-by-step explanation:

Solve for an angle in right triangles
Please help! Thank you!

Answers

Answer:

Angle A = 55.15 degrees

Step-by-step explanation:

cos^-1(4/7)=Angle A

Therefore, Angle A = 55.15 degrees

Answer:

55.15

Step-by-step explanation:

Is 5.130 greater than 5.13

Answers

Answer:

They are equal

Step-by-step explanation:

5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.

Adding a zero after a decimal is like adding a zero in front of an integer.

1.5 = 1.50

5 = 05

They are equal to one another

Pleaaase helppp i will mark brainly

Answers

Answer:

C. x = 6

Step-by-step explanation

since we have a right triangle then we can apply the Pythagorean theorem:

x² + 8² =10²

⇒ x² = 10² - 8²

⇒ x² = 36

⇒  x² = 6²

⇒ x = 6  (because x is positive)

Please help it’s urgent!! Find the sine, cosine and tangent of angle B. Leave answers as reduced fractions.

Answers

Answer:

sin(B) = 4/5

cos(B) = 3/5

tan (B) = 4/3

Step-by-step explanation:

soh cah toa

^^ they got it right

The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.

What is the sum of net exports for Germany and China ?
a.
-80 billion dollars
c.
90 billion dollars
b.
180 billion dollars
d.
150 billion dollars

Answers

Answer:

d.) 150 billion dollars

Step-by-step explanation:

As per the given bar graph, we can draw the following conclusions:

Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)

Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)

Net exports for China = ~ 115 Billion Dollars

Net exports for Germany = ~ 35 Billion Dollars

We have to find the sum of net exports of Germany and China:

[tex]\Rightarrow[/tex] 35 + 115 = 150 Billion Dollars.

Hence, correct answer is d. 150 Billion Dollars.

Answer: d

Step-by-step explanation:

150 billion dollars

Which factorization is equivalent to this expression?

30x + 70



Answer 10(3x+7)


Hopes this helps.

Answers

Answer:

[tex]10(3x+7)[/tex]

Step-by-step explanation:

we have the expression:

[tex]30x + 70[/tex]

To factor this expression we need to indentify the components that are common in both terms.

At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:

[tex]10*3=30\\10*7=70[/tex]

so we can substitute this into the expression:

[tex]10*3x+10*7[/tex]

and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:

[tex]10(3x+7)[/tex]

Answer:

The Answer is 10(3x+7)

Step-by-step explanation:

Graph this function Y=1x+3

Attachment below

Answers

Answer:

(1,3) (2,5)

Step-by-step explanation:

Keep going in a straight line like that. You choose a number for x, multiply with 1, then add 3. like if my x is 4 then 4 times 1 is 4 then i add three so seven, so (4,7)

In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is...
1
...in the drama club?
1
...in the art club?

Answers

Answer:

20 percent for drama club

30 percent for art club

Answer:

p(drama club) = 1/5

p(art club) = 3/10

Step-by-step explanation:

Total number of students = 40

Number of students in drama club = 8

p(drama club) = 8/40 = 1/5

Number of students in art club = 12

p(art club) = 12/40 = 3/10

Solve for xxx. Write the smaller solution first, and the larger solution second. Round to two decimal places. (x + 3)^2 - 3 = 0

Answers

Answer:

x=-4.73 and -1.26

Step-by-step explanation:

We need to solve the given equation for x.

[tex](x + 3)^2 - 3 =0[/tex]

Solving the above equation using formula (a+b)² =a²+2ab+b²

[tex](x + 3)^2 - 3 =0\\\\x^2+9+6x-3=0\\\\x^2+6x+6=0[/tex]

It is a quadratic equation.

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

We have, a = 1, b = 6 and c = 6

[tex]x=\dfrac{-6\pm \sqrt{(6)^2-4\times 1\times 6} }{2\times 1}\\\\x=\dfrac{-6+\sqrt{(6)^{2}-4\times1\times6}}{2\times1},\dfrac{-6-\sqrt{(6)^{2}-4\times1\times6}}{2\times1}\\\\x=-1.267, -4.73[/tex]

So, the values of x are -4.73 and -1.26

Find the solution to the system of equations.

Answers

Answer:

3x - 2 = -5x + 6

8x = 8

x = 1

y = 3 (1) -2

y = 3 - 2

y = 1

Step-by-step explanation:

Answer:

x = 1 and y = 1

Step-by-step explanation:

We want to find the solution. Our equations are:

y = -5x + 6

y = 3x - 2

Let's set these two equations equal to each other:

-5x + 6 = 3x - 2

8x = 8

x = 1

Substitute this back into any of the two equations to solve for y:

y = 3x - 2

y = 3 * 1 - 2 = 3 - 2 = 1

Thus, the answer is (1, 1), or x = 1 and y = 1.

4 1/2 + 2 3/4 + 1.5 + 2.25 + 2 + 2 1/2?

A. 16.25
B. 15
C. 14.5
D. 15.5

Answers

Answer:

14.5

Step-by-step explanation:

⇒4[tex]\frac{1}{2}[/tex] + 2[tex]\frac{3}{4}[/tex] + 1.5 + 2.25 + 2 + 2[tex]\frac{1}{2}[/tex]

⇒ 4.5 + 2.75 + 1.5 + 2.25 + 2 + 2.5

⇒ 14.5

Hope this helps!!!

What is x? I really dont get it please help

Answers

25

Vertical angles are congruent/equal :

Answer:

25°

Step-by-step explanation:

Because its equal to the angle across it.

anyone please appreciate yall x​

Answers

Answer:

h = 2.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular end, h is the length of prism )

Here V = 35 and h = 7, thus

7A = 35 ( divide both sides by 7 )

A = 5 cm²

Thus

A = [tex]\frac{1}{2}[/tex] × 4 × h = 5

2h = 5 ( divide both sides by 2 )

h = 2.5 cm

solve the equaion
2b+3=2-3(b+3)​

Answers

Answer:

b = -2

Step-by-step explanation:

Hello!

Solve the equation:

2b + 3 = 2 - 3(b + 3)2b + 3 = 2 - 3b - 95b + 3 = -75b = -10b = -2

We can plug it back in to the original equation to see if it works:

2(-2) + 3 = 2 - 3(-2 + 3)-4 + 3 = 2 + 6 - 9-1 = -1

The solution works.

| n | = 3.5 what value for n will make this expression true

This is the I Ready diagnostics.please help me this is due very very soon! Thanks!!

Answers

Answer:

3.5 and -3.5

Step-by-step explanation:

absolute value is the distance from zero to that number so 3.5 and -3.5 should be correct.

Answer:3.5 and -3.5

Step-by-step explanation:

n has absolute value marks, so whatever n is is positive. 3.5 and |-3.5| =3.5

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?

Answers

Answer:

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

P + 2c = 3.25                            Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25                           Solve for one variable

3(-2c +3.25) + 4c = 7.25           Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25                           Substitute

p + 2 = 3.25

p = 1.25

x²-5x divided by 2
= 0​

Answers

Answer:

x = 10, x = 0

I dont know if you wanted an answer but yeah-

(x^2-5x)/2=0
x^2-5x=0x2
x^2-5x=0
x(x-5)=0
Either, x=0 or x-5=0
x=0 or x=5

Which of the following equations has the same solution as m - (-62) = 45?

1.)25 - x = 8
2.)120 + x = 13
3.)120 - x = 13
4.)x + 25 = 8

Answers

Answer:

the answer to this is option 4.

Answer:

4, x = -17

Step-by-step explanation:

Each of the 108 students attending a conservatory of music plays at least one of the​ piano, harp, and clarinet. 67 play the​ piano, 46 play the​ harp, 32 play the​ clarinet, 19 play the piano and the​ harp, 13 play the harp and the​ clarinet, and 8 play the piano and the clarinet. How many play all three​ instruments? Hint​: Let x represent the number of students who play all three instruments.

Answers

Answer: 76

Step-by-step explanation:

You randomly draw a marble out of a bag that contains 202020 total marbles. 121212 of the marbles in the bag are blue. What is \text{P(draw a blue marble})P(draw a blue marble)start text, P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, end text, right parenthesis? If necessary, round your answer to 222 decimal places.

Answers

Answer:

0.60

Step-by-step explanation:

Probability is defined as the likelihood or chance that an event will occur. IT is expreesed as shown;

Probability = Expected outcome of event/total outcome of event

If a bag contains 20 total marbles, then the total outcome of event is 20.

If 12 blue marbles are selected from the bag, the expected outcome of event will be 12.

Probability of drawing a blue marble P(draw a blue marble)= 12/20

= 0.60 (to 2dp)

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