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monitta
2 years ago
5

Sergio has p paintings in his art collection. He and other local painting collectors agreed to donate a total of 48

Mathematics
1 answer:
Tom [10]2 years ago
3 0

Answer:

P - 4

Step-by-step explanation:

Sergio and the other painting collectors have decided to donate a total of 48 paintings all together.

We know that there are 12 collectors in total and they will each donate the same number of paintings.

48 paintings in total

12 collectors

48 / 12 = 4

We now know Sergio will donate 4 paintings from his collection of P paintings. Sergio will have P - 4 paintings left.

We do not know what "P" is equal to, so we cannot give an exact number for how many paintings he will have left. However, we know he will have 4 fewer paintings after donating.

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the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four
aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is Hypotenuse^2=OneLeg^2+AnotherLeg^2

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

hyp^2=6^2+8^2\\hyp^2=100\\hyp=10

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}

Adding all the four hypotenuses, we get the length of the walkway:

Length of Walkway = 10+\sqrt{208} +15+\sqrt{117}\\ =50.24 yards

8 0
2 years ago
Let f(x) represent a function. Which descriptions match the given transformations? Drag and drop the answers into the boxes.
miss Akunina [59]

The correct answers are:

1. f (x) is translated 4 units down.

2. f (x) is vertically stretched by a factor of 4.

I took the quiz and these were the right answers. Hope I helped! <3

8 0
2 years ago
Read 2 more answers
Mrs jones has ducks and sheep on her farm. The animals have a total of 6 heads and 16 legs. How many ducks does mrs jones have?
Gnoma [55]
4 ducks (4 heads, 8 legs) and 2 sheep (2 heads, 8 legs). Altogether, 6 heads and 16 legs.
7 0
2 years ago
Read 2 more answers
The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?
blagie [28]
Supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.

n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.


3 0
2 years ago
Read 2 more answers
Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.
Rudiy27

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

 2 a + b = 12   ----------------Equation 1

We have, she bought 3 more pens than pencils

  a - b = 3   ------------------  Equation 2

 Equation 1 +Equation 2,  

   2 a + b +  a - b = 12 + 3

                     3a = 15

                     a = 5

 Substituting in  equation

           5 - b = 3

               b = 2

 Number pencils Ava bought = 2

5 0
2 years ago
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