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3 years ago

Help please, this is my last question I am asking you guys, I promise <3

Mathematics

1 answer:

butalik [34]3 years ago

5 0

Answer:

Part A: 1.25g + 14.25 < 55.00

Part B: 32 games

Step-by-step explanation:

price per game * games played (1.25g) + money he's already spent (14.25)

must be less than or equal to his total budget (55.00)

equation: 1.25g + 14.25 < 55.00

total (55.00) - already spent (14.25) = what he can spend on games (40.75)

55.00 - 14.25 = 40.75

arcade budget (40.75) / cost per game (1.25) = 32.6

because you can't play 0.6 games, 32 games

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20,10,5, ... Find the 9th term.

iren [92.7K]

Answer:

0.078125.

Step-by-step explanation:

This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.

nth term = a1 r^(n -1) so here:

9th term = 20(0.5)^(9-1)

= 20(0.5)^8

= 0.078125.

6 0

2 years ago

A radio antenna is kept perpendicular to the ground by three wires of equal length. The wires touch the ground at three points o

Elena-2011 [213]

Answer:

The coordinates of the base of the antenna is (-6. 1)

Step-by-step explanation:

Here we are required to find the center of a circle given points on the circumference

The equation of a circle is

(x - h)² + (y - k)² = r²

Where:

x and y are points on the circumference

h and k are coordinates of the center of the circle and

r = The radius of the circle

Since we have the values for the points on the circumference, we are left with three unknowns, which we can find with three equations as follows;

By plugging in the values for x and y at the respective points we get,

At (9, -19) → (9 - h)² + (-19 - k)² = r²...............(1)

At (-21, -19) → (-21 - h)² + (-19 - k)² = r².....,...(2)

At (14, 16 ) → (14 - h)² + (16 - k)² = r² ............(3)

Solving, we get from (1) (-19 - k)² = r² - (9 - h)²

Plugging in the value of (-19 - k)² in equation (2) we get

(-21 - h)² + r² - (9 - h)² = r²

So that (-21 - h)² - (9 - h)² = r² - r² = 0

and (-21 - h)² - (9 - h)² = 0 gives

60·h +360 = 0 or h = -6

Plugging in the value of h = -6 in equation (3) we get

(14 - (-6))² + (16 - k)² = r²

20² + (16 - k)² = r² .................(4)

similarly from equation (1) we get

(9 - (-6))² + (-19 - k)² = r²

15² + (-19 - k)² = r² ................(5)

Subtracting equation (5) from (4) gives

20² - 15² + (16 - k)² - (-19 - k)² = 0

Which gives

-70·k + 70 = 0

or k = 1

Therefore the coordinates of the base of the antenna = (-6. 1).

6 0

4 years ago

1. Sherrys age is nine less than six times Fred's age. Write an equation and find Sherrys age if Fred is ten years old.

artcher [175]

Answer:

1. x= 10x6-9 Sherry is 51 apparently

2. $71.40

Step-by-step explanation:

6 0

3 years ago

Lisa great aunt ina is coming for a 3 day visit.great aunt ina is 96 years old and believes that the secret to her long life is

Helga [31]

Three apples
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8 0

4 years ago

The table shows a proportional relationship between the milliliters (ml) of red paint and milliliters of yellow

Alinara [238K]

Answer:

You didn't provide answer options. The correct answer option will be the one where the ratio of red paint to yellow paint is 3:8.

Step-by-step explanation:

To make orange, you need some amount of red and some amount of yellow. As long as you mix them in the same proportions, you will get the same orange colour, regardless of how much total paint you're using. It's the RATIO between colours that matter, not how much colour is used.

In this case we are told that to make orange you can use any of the following combinations:

10.5mL red / 28mL yellow

9mL red / 24mL yellow

7.5mL red / 20mL yellow

Just take any of these and convert into a fraction. The middle option is easiest because it uses whole numbers:

$\frac{9}{24} = \frac{3}{8}$

This means for every 3 units of red, you need 8 units of yellow. Whichever answer option has red and yellow in that ratio is the correct answer.

5 0

3 years ago