Thomas went to the store to buy video games for $13.50 each and controllers that cost $55 each. Write and equation where c represents the total cost, g is the number of games he bought, and p is the number of controllers he bought.

Answer:

a) The ladder reach 19.32 foot up the house

b) The bottom of the ladder is 5.18 foot from the house

Step-by-step explanation:

An illustrative diagram of the scenario is attached below.

From the diagram, we have a right angle triangle with the length of the ladder being the hypotenuse. The opposite indicates how far up the house the ladder reach and the adjacent indicates the distance of the bottom of ladder from the house.

a) To determine how far up the house the ladder reach, that is the opposite.   Let the opposite be y

From the formula

Sinθ = Opposite / Hypotenuse

Where θ is the angle subtended

Here θ = 75°

Hypotenuse = 20 foot

∴ sin75° = y / 20

y = 20 × sin75°

y = 20 × 0.9659

y = 19.32 foot

Hence, the ladder reach 19.32 foot up the house.

b) To determine how far from the house the bottom of the ladder is, that is the adjacent. Let the adjacent be x

From the formula

Cosθ = Adjacent / Hypotenuse

Where θ is the angle subtended

Then,

cos75° = x / 20

∴ x = 20 × cos75°

x = 20 × 0.2588

x = 5.18 foot

Hence, the bottom of the ladder is 5.18 foot from the house.

Answer:

3 times a number minus seven

Answer:

5=5=5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:4r4r3r434r3r4vcc4cvg4vxc

4r4r4r4r4r4r4r4r344r3r3

r44r3rStep-by-step explanation:

Answer: y = 1(x + -5)^2 + 3

Step-by-step explanation:

Answer For Entire Assignment!!

Page 1: (B), (C)

Page 2: (D), (A)

--> Page 3: 1, -5, 3

Page 4: Right 8, Down 6

Page 5: Complete the square to get the equation in vertex form with

a = -16, h = 1, and k = 19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.

Page 6: (C)

Page 7: 1, -5 and -3, 2

Page 8: 1, 1 , 1, 2

Page 9: 3, 1

Page 10: 4, -32 and 2, -15

Page 11: (B), (D), (E)

Get that 100. Trust.

Answer:

8 hours

Step-by-step explanation:

Calculator 60 divided by 7.55= 7.94 round to 8

The amount of time Stan works to earn $160 will be 7.94 hours.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evenings. He earned $160 in all.

The working time will be calculated by making an equation assuming the working time to be x hours.

7.55x + 100 = 160

7.55x = 160 - 100

7.55x = 60

x = 60 / 7.55 = 7.94 hours.

Therefore, the amount of time Stan works to earn $160 will be 7.94 hours.

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Answer:

I believe the answer is that there are 252 children in the hall in total.

Step-by-step explanation:

answer:

0.08 percent as a ratio is: 8/100

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

8/100

simplest form 2/25

Step-by-step explanation:

Answer:

40 + 2x = 180

Step-by-step explanation:

Since it is an isosceles triangle, there will be 2 angle x's and all angles will equal to 180 degrees, therefore the equation that will help with finding the measurement of angle x is 40 + 2x = 180.

Answer:

im preety shure monica because with 3.4 % that is more than 2.3% and that is what they want to know so its monica

Step-by-step explanation:

Answer: 7 is B

8 is G

9 is C

10 is F

Step-by-step explanation:

Answer:

5/9 = 10/16 is not proportional

Step-by-step explanation:

5/8=10/16 (If you simplify you will get 5/8=5/8 which is true)

25/40=10/16 (If you simplify you will get 5/8=5/8 which is true)

15/24=10/16 (If you simplify you will get 5/8=5/8 which is true)

5/9≠10/16 (If you simplify you will get 5/9=5/8 which is not true)

Hope this helps

Answer:

46 of the total vehicles are minivans

Step-by-step explanation:

Let the number of minivans be x

and the number of other types of vehicles be y

From the question,

Carla noticed that for every 2 minivans, there were 5 other types of vehicles.

This means the ratio of minivans to other types of vehicles is 2:5.

Therefore,

x:y = 2:5

We can then write that

x/y = 2/5

∴ 5x = 2y ...... (1)

Also from the question,

There are 161 total vehicles in the parking lot

That is

x + y = 161 ...... (2)

From equation (2), we can write that

y = 161 - x

Put this into equation (1)

5x = 2y

Then

5x = 2(161-x)

5x = 322 -2x

5x+2x = 322

7x = 322

x = 322/7

x = 46

Since x represent the number of minivans

Hence, 46 of the total vehicles are minivans.

Answer:

The construction describe :---

b) The perpendicular bisector of AB.

Answer: There are 25 crates and 15 boxes in the truck when it is full.

Step-by-step explanation:

Let c= Number of crates , b= Number of boxes.

As per given,

[tex]c+b = 40[/tex]     (i)

[tex]3c=5b\\\\\Rightarow\ c=\dfrac{5b}{3}[/tex]        (ii)

Put value of c from (ii) in (i)

[tex]\dfrac{5b}{3}+b = 40\\\\\Rightarrow\ \dfrac{5b+3b}{3}=40\\\\\Rightarrow\ \dfrac{8b}{3}=40\\\\\Rightarrow\ 8b=3\times40\\\\\Rightarrow\ 8b=120\\\\\Rightarrow\ b=\dfrac{120}{8}=15[/tex]

put value of b in (ii),

[tex]c=\dfrac{5\times15}{3}=5\times5=25[/tex]

Hence, there are 25 crates and 15 boxes in the truck when it is full.

25 boxes 15 crates

We would get this solution by adding up the two sides comparing the ratios, hence: we get room for 3 crates for every 5 boxes that we can hold in the truck.

A ratio is an ordered pair of numbers a and b, written a:b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. hence, if there is 3 crates and 5 boxes you could write the ratio as: 3 : 5 (for every 3 crates there are 5 boxes) 3 / 5 are boys and 5 / 3 are crates.

Answer:

1.68

Step-by-step explanation:

mark brainliest

Answer:

16.8

Step-by-step explanation:

Turn the percentage into a decimal.

7% = 0.7

Multiply.

24 * 0.7 = 16.8

Best of Luck!

Answer:

They are the same

Step-by-step explanation:

If it is an answer choice question without anything saying that then pick 4

Answer: Domain

Step-by-step explanation: I don’t know how to explain it but I hope you understand it!

Answer:

96 calories per cup

384 calories in 4 cups

Step-by-step explanation:

In this scenario, we can use the rule of three to calculate the number of calories in a single cup like so...

72 calories   <==========>   [tex]\frac{3}{4} cup[/tex]  or 0.75 cup

 x  calories   <==========>  1 cup

(1 * 72) / 0.75 = 96 calories

Now we see that there are a total of 96 calories per cup of cereal. In order to find the total amount of calories in 4 cups of cereal, we simply need to multiply the number of calories per cup by 4, like so...

96 * 4 = 384 calories

There are a total of 384 calories in 4 cups of cereal.

Answer:

16:14 and 64:60 i would say they are

Step-by-step explanation:

they are both very close

Answer:

I believe x = 16

Answer:

6.75$

Step-by-step explanation:

Complete question is;

An ordinary deck of playing cards has 52 cards. There are four suits

-spades, hearts, diamonds, and clubs

-with 13 cards in each suit.

Spades and clubs are black; hearts and diamonds are red. One of these cards is selected at random. Let A denote the event that a red card is chosen.

Find the probability that a red card is chosen, and express your answer in probability notation.

Answer:

P(A) = 0.5

Step-by-step explanation:

We are told that the ordinary deck of playing cards has 52 cards.

Now, there are four suits

-spades, hearts, diamonds, and clubs

-with 13 cards in each suit.

Now, in a standard set of playing cards, there are 13 black spades and 13 black clubs as well as 13 red hearts and 13 red diamonds

Thus;

Number of red cards = 13 + 13

Thus;

Number of red cards = 26

Since, A denotes the event that red card is chosen.

This means that probability of choosing a red card is;

P(A) = number of red cards/total number in a deck of cards

P(A) = 26/52

P(A) = 0.5

The ratio which is equivalent to 33:39 is 11:13

An equaivalent ratio are fraction whose value are equal and are integral multiples of each other.

For example 1:2 = 2:4

Since 1:2 = 1 × 2 : 2 × 2 = 2 : 4

Also, 2:4 = 2 ÷ 2: 4 ÷ 2 = 1 : 2

We see that 1:2 and 2:4 are equivalent since we multiply 1:2 by 2 to get 2:4 or divide 2:4 by 2 to get 1:2.

So, to find the ratio equivalent to 33:39, we write 33:39 in its simplest terms.

So, 33:39 = 11 × 3 : 13 × 3

= 11 : 13

So, the ratio which is equivalent to 33:39 is 11:13

Learn more about equivalent ratio here:

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Answer:

60,000

Step-by-step explanation:

Answer:

5.1

Step-by-step explanation:

f(2)=11.2

f(7)=36.7

36.7-11.2/7-2

25.5/5

5.1

Answer:

70%

Step-by-step explanation:

Given that:

Initial water level in the tank at noon = 10 cm

After several hours, water level = 3 cm

To find the percentage change in the water in the tank, we can use the following formula:

[tex]Percentage\ Change = \dfrac{Final\ Value - Initial\ Value }{Initial\ Value}\times 100[/tex]

Here, Final Value = 3 cm

Initial Value = 10 cm

Putting the values in the formula:

[tex]Percentage\ Change = \dfrac{3 - 10 }{10}\times 100\\\Rightarrow Percentage\ Change = -70\%[/tex]

Here, negative value, means there is a decrease in the final value from the initial value.

Therefore, the answer is 70% decrease.

Answer:

you have to change the -5 to a 5 then add 10 to it then you get 15, so a=15