1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
6

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 mu

ch 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.
Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

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

<em>P = 28.16$</em>

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

S = 3/4 * 28.16

<em>S = 21.12$</em>

B = 1/6 * 21.12

<em>B = 3.52$</em>

These values would be the price of all items.

You might be interested in
-10k+1=40-7k<br><br><br> Please show work
luda_lava [24]
Hope this help :-) in the picture u going to see the steps. The answer is 13

6 0
3 years ago
A health insurance payment of $34.55 was deducted from ms. Donaldson's earnings for the week. After the insurance deduction, pay
leonid [27]
I think that this quesion is missing some background, that is that Ms. Donaldson earned 907.10

So the 34.55 were deduced from this number, and the remaining amount was:

907.10-34.55=872.65

After this, further 28% were deduced, which means that 100-28=72% were left.

And this is:72%*872.55= 628.236 (which we round to 628.24!)

 
6 0
3 years ago
Mr dale earns £220 per week. He is awarded a pay rise of 4%. how much more money does he get?
WARRIOR [948]
4%+100%=104%
220X104/100= 228.8£

4 0
3 years ago
Read 2 more answers
Help explain for brainlist
Lina20 [59]

Answer:

C. 8

Step-by-step explanation:

\because \:  {s}^{3}  = 64 \\ s =  \sqrt[3]{64}  \\ s = 4 \\ side \: of \: cube = 4 \: units \\ when \: side \: is \: halved \\ new \: side \: length =  \frac{4}{2}  = 2 \\  \: new \: volume =  {2}^{3}  = 8 \: cubic \: units

7 0
3 years ago
Read 2 more answers
Write an equation for a circle with center at (6, –2) and diameter = 12.
SVEN [57.7K]
(x+6)2+(y-10)2=36 , would be your equation.
4 0
3 years ago
Other questions:
  • La tabla muestra la cuenta en el nuevo kit de cuentas de Jenny los seis amigos de Jenny tienten el mismo kit de cuentas cuántas
    14·1 answer
  • F(x)=7x-1/4x+3 find the domain and inverse
    13·1 answer
  • Please answer and show steps please show steps please show steps 10 points
    13·1 answer
  • Please help me with this question.
    15·1 answer
  • A rectangular room is covered in 5 12 square feet of carpet. If the length of the room is 16 feet,
    5·1 answer
  • Figure ABCD is a rectangle Find the value of x
    5·1 answer
  • Please help! What's the area of this triangle? (Please put an answer that helps...)
    14·1 answer
  • The Ears-to-the-Wind Car Rental charges $100 per day and 11 cents per mile to rent a sport utility
    9·1 answer
  • Rick paints the four walls in a room that is 12 ft long and 10 ft wide. The ceiling in the room is 8 ft from the floor. The door
    15·1 answer
  • Suppose Felipe has 9.24 pounds of seed if it takes 6.6 pounds of seed to plant on acre of grass how many acres of grass can be p
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!