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2 years ago

Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer

Mathematics

1 answer:

Rina8888 [55]2 years ago

5 0

Answer:Answer: Isabella buys 2 paintbrushes and 3 jars of paint.

Step-by-step explanation:

Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87.

(Hope this helps!!!!)

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Fabio and Carlos play on a basketball team together. In the last game, Fabio had 777 points less than 222 times as many points a

Brums [2.3K]

Answer:

2c-7=31

c=19

Step-by-step explanation:

Let the number of points Carlos had=c

2 times as many points as Carlos=2c

In the last game, Fabio had 7 points less than 2 times as many points as Carlos.

Fabio's point in the last game=2c-7

Since Fabio Scored 31 points in the last game,

2c-7=31

Thus is the equation to determine the number of points Carlos scored.

Next, we solve for the number of points Carlos had.

2c-7=31

2c=31+7

2c=38

c=19

Carlos had 19 points in the last game.

8 0

2 years ago

A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of

KIM [24]

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

3 0

2 years ago

An ideal gas is confined within a closed cylinder at a pressure of 2.026 × 105 Pa by a piston. The piston moves until the volume

Elis [28]

Answer:

The final pressure of the gas when its temperature returns to its initial value $1.8234\times 10^6$ Pa.

Step-by-step explanation:

Given : An ideal gas is confined within a closed cylinder at a pressure of $2.026\times 10^5$ Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.

To find : What is the final pressure of the gas when its temperature returns to its initial value?

Solution :

Since the temperature is constant .

The relation between P and V is given by,

$P_1\times V_1 = P_2\times V_2$

$\frac{P_1}{P_2}=\frac{V_2}{V_1}$ ....(1)

The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. $V_2=\frac{V_1}{9}$

or $\frac{V_2}{V_1}=\frac{1}{9}$

$P_1=2.026\times 10^5$

Substitute in equation (1),

$\frac{2.026\times 10^5}{P_2}=\frac{1}{9}$

$P_2=9\times 2.026\times 10^5$

$P_2=18.234\times 10^5$

$P_2=1.8234\times 10^6$

The final pressure of the gas when its temperature returns to its initial value $1.8234\times 10^6$ Pa.

5 0

2 years ago

Patrick drank 0.75 liter of water Monday before jogging.he drank 0.8liter of water after his jog.

Amanda [17]

If you want to find out how much he drank in total, its simple. Just add 0.75 and 0.8

¹0.75 Liters
+ 0.8 Liters
---------
1.55 Liters
(make sure to add the units AKA: liters)

Therefore,
Patrick drank 1.55 Liters of water in total.

Hope this helps and have a great day :)

5 0

2 years ago

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a

steposvetlana [31]

This is sort of weird to write without any numbers, but it's not too hard. take your info out of the word problem:

fit fast = fee per class
stepping up = fee per class + monthly fee

now you just change all of that into variables, essentially:

F = cx
S = cx + m

so, fit fast is the cost of classes (c) times the number of classes taken (x). stepping up is the cost of classes times x, PLUS that additional monthly fee (m).

7 0

2 years ago

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