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Sphinxa [80]
3 years ago
9

Sergio has 79 paintings in his art collection. He and other local painting collectors agreed to donate some paintings to the loc

al museum. Each of the t collectors will donate the same number of paintings, and the total number of paintings donated by the collectors will be 48.
How many paintings will Sergio have in his art collection after his donation?
Write your answer as an expression.
Mathematics
1 answer:
masya89 [10]3 years ago
4 0

It was stated in the problem that there are t collectors. Therefore, there are (t + 1) collectors including Sergio. Since each collectors will donate the same number of paintings and their total number of donated paintings is 48, each should contribute 48/(t + 1) paintings. So, after the donation Sergio will be left with 79 – 48/(t + 1) paintings.

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The apparent brightness of a star if it were viewed from a distance of 10 parsecs (32.6 light- years) is called ________.
Maru [420]

Answer:

Absolute magnitude

Step-by-step explanation: Astronomy deals with the study of stars and other heavenly bodies. Astronomers use apparent magnitude to define how bright a star appears and shines from the earth.

8 0
4 years ago
I NEED HELP ASAP
DIA [1.3K]

Answer:

y = \frac{3}{2} x + 13

Step-by-step explanation:

1) Use point-slope formula y-y_1 = m (x-x_1) to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and x_1 and y_1 represent the x and y values of a point the line intersects. So, substitute \frac{3}{2} for m, -4 for x_1, and 7 for y_1. Then, simplify and isolate y on the left side like so:

y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13

3 0
3 years ago
Help me solve this please
shutvik [7]

Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )

Calculate D'G' using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)

D'G' = \sqrt{(-28-3.5)^2+(-17.5-24.5)^2}

       = \sqrt{(-31.5)^2+42^2}

       = \sqrt{992.25+1764}

        = \sqrt{2756.25}

         = 52.5 units

7 0
3 years ago
An ice cream cone has a height of 14 cm and
sergejj [24]

Answer:

height of cone(h)=14cm

volume of cone(v)=528cm³

radius of cone =?

now,

by using formula

  • v=1/3πr²h
  • 528=1/3A×r²×14
  • r²=113.14
  • r=4.83cm

hope it helps.

6 0
3 years ago
PLEASE I NEED HELP! How do you find y?
myrzilka [38]

In this example, y is equal to 8.

In order to find this, first note that the two x value expressions create a straight line. That means when we add them together they will equal 180. this will give us a value for x.

x + 10 + 10x - 61 = 180

11x - 51 = 180

11x = 231

x = 21

Now that we have the value of x, we can do the same for the straight line created by the x + 10 angle and the 18y + 5 angle.

x + 10 + 18y + 5 = 180

(21) + 10 + 18y + 5 = 180

36 + 18y = 180

18y = 144

y = 8

4 0
4 years ago
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