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zhenek [66]
2 years ago
14

You want to paint a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. There

are two studios to choose from. For studio a: The vase is $10 and the studio fee is $8 per hour. For studio b: The vase is $16 and the studio fee is $6 per hour. After how many hours of painting are the total costs the same at both studios?
Mathematics
1 answer:
Nataly_w [17]2 years ago
5 0
Answer:
3 hours

Explanation:
1) Set an expression for each of the studios we can set out variable as h for hours because that is the unknown value.

Studio A: 10+8h
Studio B: 16+6h

To find out how many hours would pass for their costs to equal each other, we have to make them literally equal each other.

10+8h=16+6h

Now that we have an equation, we can start solving.

10+8h=16+6h
Combine like terms
10-16=6h-8h
-6=-2h
2h=6
Divide both sides by 2 to isolate h
2h/2=6/2
h=3

I hope this helped! If it did, a brainliest would be much appreciated :)
You might be interested in
. Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf
liberstina [14]

Answer:

The length of the missing piece is 2 ft 3 inches

Step-by-step explanation:

Here in this question, we are interested in calculating the length of the remaining piece of the board given that we have the total length of the board and two other pieces.

Mathematically, the remaining piece length can be calculated by subtracting the lengths of the known pieces

That would be;

10 ft - 4 ft 7 inches - 3 ft 2 inches

In a foot there are 12 inches

Thus

10 ft = 10 * 12 = 120 inches

4 ft 7 inches = 4(12) + 7 = 55 inches

3 ft 2 inches = 3(12) + 2 = 36 + 2 = 38 inches

Thus the length of the remaining piece would now be;

120 -55 -38 = 27 inches

That is same as 24 + 3 inches

24 inches = 2 ft

So 27 inches = 2 ft 3 inches

3 0
1 year ago
ernesto tiene que enviar 4 encomiendas que tienen una masa del total de ocho decimos de kg. ¿que fraccion de kg. tiene cada una
Ber [7]

⭐Solución de problemas: Cada encomiendo tiene un peso de 2 kilogramos. En fracción esto representa 1/4 de la masa total.

Y

¿por qué? Usted tiene una masa total entre los 4 encomiendos de 8 kilogramos, por lo que en orden

para expresar el peso de cada uno de ellos, tenemos

la siguiente expresión: Masa total de encomiendas (kg)/Número de encomiendas (unidad)Sustituimos:

8 kg/4 s

2 kg por encomiendaOfertamos la fracción que representa cada una en el total:

kg por encomienda/total de kg

2/8 x 1/4

6 0
2 years ago
Derek bought a new car for $32,000. He made a down payment of $17,000 and financed the balance through the car dealer. He was un
Andreyy89

Answer:

$300

Step-by-step explanation:

Given that:

Derek bought a new car for $32,000;

The original amount of purchase = $32,000

Down payment =  $17,000

Remaining amount = Original amount of purchase - Down payment

= $(32000 -17000)

= $ 15,000

Also;

rate of interest per month is 2%

and the Derek is unable to pay his first monthly payment

thus the interest amount is calculated on principal amount

so for the first month interest is calculated on total principal amount

The month interest payment is then calculated as :

= 15,000 × 2%

= 15,000 × 0.02

= $300

3 0
1 year ago
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
makkiz [27]

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

3 0
2 years ago
When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup ca
lyudmila [28]
This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape.  If this is the case the volume of the can will be given by:
volume=[base area]*height
volume=πr^2h
where;
base area=πr^2
height=h

3 0
2 years ago
Read 2 more answers
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