the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold

9514 1404 393

Answer:

  (x +4)^2 +(y +6)^2 = 18

Step-by-step explanation:

The standard form equation for a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

The center of the given circle is (-4, -6). The radius (or squared radius) can be found by putting the point (-7, -3) into the left-side expression.

  (-7 -(-4))^2 +(-3 -(-6))^2 = r^2 = 9 +9 = 18

Then the equation of the circle is ...

  (x +4)^2 +(y +6)^2 = 18

Answer:

Step-by-step explanation:

I got 480 in^3

Answer:

154 people work in marketing.

55 people work in sales.

Step-by-step explanation:

For every 5 people employed in sales, there are 14 employed in marketing.

This means that:

5/(5+14) = 5/19 of people work in sales.

14/(5+14) = 14/19 of people work in marketing.

Total of 209 people:

14*209/19 = 154

154 people work in marketing.

5*209/19 = 55

55 people work in sales.

Answer:

1. Howard

2. Peter

Step-by-step explanation:

Answer:

1 is A, 2 is B

Answer:

1) x = -1

2) x = 11

3) x = -3

4) x = -14

5) x = -7

6) x = 5

7) x = 12

8) x = -4

Step-by-step explanation:

use the photomath app

Answer:b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.25

B

Answer:

8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.

Step-by-step explanation:

The measure of the third side of an isosceles triangle is 8 units.

An isosceles triangle is a triangle with (at least) two equal sides. A polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.

For the given situation,

The sides of an isosceles triangle are 4 and 8.

In isosceles triangle, two sides have equal length and the base should be less.

From the measurements given, the base could be 4 units and the third side is same as 8 units.

Hence we can conclude that the measure of the third side of an isosceles triangle is 8 units.

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Answer:

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Step-by-step explanation:

The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:

[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]

[tex]A \approx 157.781\,ft^{2}[/tex]

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Answer:

Step-by-step explanation:

The solution to the equation 7x + 9 = 58 is x = 7.

To solve the equation 7x + 9 = 58 for x, we can follow these steps:

Subtract 9 from both sides of the equation to isolate the term with x:

7x + 9 - 9 = 58 - 9

7x = 49

Divide both sides of the equation by 7 to solve for x:

7x / 7 = 49 / 7

x = 7

Therefore, the solution to the equation 7x + 9 = 58 is x = 7.

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You need to give more info

Answer:

1

Step-by-step explanation:

4-3=1 denominator never changes may i be marked brainliest?

Answer:

y=9cm

x=90°

Step-by-step explanation:

y=9cm(being perpendicular)

x=90°=being perpendicular)

Answer:

Latoya got a better deal because she paid less than Herman by 25 cents

Step-by-step explanation:

Latoya 18 divided by 8= $2.25

Herman 15 divided by 6= $2.50

So Latoya saves $0.25 cents

Answer:

answer = 5

Step-by-step explanation:

77-22=55

55÷11=5

Answer:

y = -x + 8

Step-by-step explanation:

m = -1  ; x1 = 3 ; y1 = 5

Slope point form: y - y1 = m(x -x1)

y - 5 = -1(x - 3)

y -  5 = -1x - 3 *(-1)

y - 5 =-x + 3

    y =  -x + 3 + 5

     y = -x + 8

Answer:

5. is the answer

Step-by-step explanation:

Answer:

The correct option is the third one counting from the top. (5892 m^2)

Step-by-step explanation:

First, we need to remember that:

For a rectangle of length L and width W, the area is:

A = L*W

For a circle of diameter D, the area is:

A = pi*(D/2)^2

Where pi = 3.14

In the image, we can see a rectangle and half a circle, the total area of the image will be equal to the area of the rectangle plus the area of the half circle.

In the image, we can see a rectangle of length L = 100m and width W = 50m

Then the area of the rectangle is:

A = 100m*50m = 5000m^2

And we can see that for the half-circle the diameter is D = 50m

Note that the area of a half-circle is half of the area of a complete circle, then the area of that half-circle is:

A = (1/2)*(3.14*(50m/2)^2) = 981.25 m^2

If we add these two areas we get:

Total area =  5000m^2 + 981.25 m^2 = 5981.25 m^2

If we round it up, we get:

Total area = 5982 m^2

The correct option is the third one counting from the top.

Answer:

144

Step-by-step explanation:

320 ÷ 20 = 16

adults : children

11 : 9

9×16 = 144

Answer:

24%

Step-by-step explanation:

Percentage increase formula

(New value - Original value) ÷ Original value

Then multiple by 100

(93-75)/75 = 0.24

0.24 × 100% = 24%

Answer:

Quadrilateral

#sides = 4

#∆ = 4-2 =2

sum= n(4-2)180° = 360°

pentagon

#sides =5

#∆ = 5-2 = 3

sum = n = (5-2)180° = 540°

Octagon

#sides = 8

#∆= 8-2 = 6

sum = n = (8 - 2)180° = 1080°

Nonagon

#sides =9

#∆ =9-2 = 7

sum = n=(9-2)180° = 1260°

Heptagon

#sides= 7

#∆= 7-2 = 5

sum = n= (7-2)180° = 900°

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

Answer:

x=10

Step-by-step explanation:

Because of the two parallel lines, the ratio between the sides must be the same.  Since the bottom is 12 to 18 (a ration of two to three) we know that x and x+5 would have the same ratio.  Logically, x would have to equal 10 so that x+5 would equal 15 and a ratio of two to three would exist there too.  If you go to solve a problem and the answer isn’t obvious, jut set up a ratio.

12/18=x/(x+5)

then cross multiply and solve

12(x+5)=18x

12x+60=18x

60=18x-12x

60=6x

10=x

Answer:

x=10

Step-by-step explanation:

You can set it up as a proportion, since the lines are parallel, the sections are proportionate to each other.

[tex]\frac{x}{12} = \frac{x+5}{18} \\18x=12(x+5)\\18x=12x+60\\6x=60\\x=10[/tex]