Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?

Answer:

Age of Cathy = 19

Step-by-step explanation:

Find:

Sum of their ages = 54

Assume;

Age of Andrea = x

Age of Beth = x + 1

Age of Cathy = x + 2

Sum of their ages = x + x + 1 + x + 2

54 = 3 x + 3

3 x = 51

x = 17

Age of Cathy = x + 2

Age of Cathy = 17 + 2

Age of Cathy = 19

Given :

A building is of unknown height. At a distance of 400 feet away from the building .

An observer notices that the angle of elevation to the top of the building is 35º and that the angle of elevation to a poster on the side of the building is 15º .

To Find :

How far is the poster from the roof of the building .

Solution :

Height is given by :

[tex]h=d\times tan\theta[/tex]

( Here , [tex]\theta[/tex] is angle of elevation )

So , height of tower :

[tex]H=400\times tan 35^o\\\\H=280.08 \ feet[/tex]

For height of poster :

[tex]h=400\times tan 15^o\\\\h= 107.18\ feet[/tex]

Therefore , distance of poster from the roof of the building is :

[tex]( 280.08-107.18) = $$172.9\ feet[/tex]

Hence , this is the required solution .

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

Answer:

600

Step-by-step explanation:

answer on edge 2021

Have a great day!

Answer:

10 :)

Step-by-step explanation:

(3x - 14) / 2 = 8

3x - 14 = 16

3x = 30

x = 10

Answer:

77

Step-by-step explanation:

why because 100+3=103

and this is half a circle so the answer is 180-103 that is 77

Answer:

Step-by-step explanation:

From the question it can be seen that all the angles lie on a straight line and

Angles on a straight line add up to 180°

To solve for x add up all the angles and equate them to 180°

That's

x + 3x + 100 = 180

4x + 100 = 180

Subtract 100 from both sides

4x + 100 - 100 = 180 - 100

4x = 80

Divide both sides by 4

We have

We have the final answer as

Hope this helps you

Answer:

B

Step-by-step explanation:

-6+√-4 = -6+2i

Answer:

-6 + 2i

Step-by-step explanation:

The square root of -4 is the imaginary number: 2i The -6 stays the same. So add,, but don't combine real and imaginary numbers.

-6 + 2i

Answer:

Let x = number of additional credits the student needs to get 4.0 GPA on. 52 credits with a GPA of 2.8 means a total of 52 * 2.8 = 145.6 145.6+4x52+x=3.2 Solve the equation for x

Step-by-step explanation:

Because i said so

Answer:

it gets colder and it would be -6

Step-by-step explanation:

i hope

Answer:

the answer is 240 multiply and divide

Answer:240

Step-by-step explanation:

Use the order of operations. (PEMDAS)

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

Hope this helped dude

Answer:1/12 or 8.3

Step-by-step explanation:

Answer:

Sooo...

Step-by-step explanation:

1+2=7

Simple really.

Answer:

You will have to pay $22.05.

Step-by-step explanation:

We can solve this problem by making a proportion:

4.78 gallons/11 dollars = 9.58 gallons/x dollars

By cross-multiplying, we can solve for x:

4.78x = 105.38

x = 22.05

Answer:

Hey there!

w-99=119

w=218

x/3=103

x=309

y/2=146

y=292

Let me know if this helps :)

Answer:

16x=1 x=1/16 or 0.0625

2/5x=1 x=5/2 or 2.5

Step-by-step explanation:

for 16x=1 divide both sides by 16, 1 divided by 16 is 1/16 or 0.0625

for 2/5x=1 multiply by the reciprocal of 2/5 which is 5/2. 5/2 times 1 is just 5/2 or 2.5.

Answer:

12

Step-by-step explanation:

the absolute value of any negative number is the number in positive form.

Answer:

Hello!

The value would 12 cause it is the absolute value

For example:

If the is negative 12 the absolute value would be the opposite, so it would be positive 12.

But if it was

|12| then it would stay the same

Hope this helps!

-Fishylikeswater

Answer:

Hello!

YOUR ANSWER IS 315 DEGREES MORE

Step-by-step explanation:

To get it to the start position is the same as TURNING IT 360 DEGREES!

So from 45 degrees to reach 360 degrees...another 315 degrees will be needed!

HOPE THIS HELPS!!

Answer:

yeah its parrellell

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Answer:

Selena is correct because she simplified correctly and then evaluated correctly after substituting the values for the variables.

Step-by-step explanation:

Answer:

-6.2

Step-by-step explanation:

multiply -2 times 3.1

Answer:

-6.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x - 5 = 2x + 6

x - 5 = 6

x = 11

Answer:3.5•x or 3.5x

Step-by-step explanation:

Answer:

The Divisor is 6 miles

Step-by-step explanation:

A Divisor is also defined as a number by which a another number called dividend is divided by with or without having a remainder.

Divisor ÷ Dividend = Quotient

We are told that Julie goes to the park and jogs a total of six miles every day. She jogs three-fourths of a mile at a time.

In 1 day = 6 miles

Spread throughout the day, or per time , Jules jogs 3/4 of a mile

To find out how many times she jogs in a day, 6 miles will be divided by 3/4

Divisor ÷ Dividend = Quotient

= 6 ÷ 3/4

= 8 times in a day.

Looking at the above, calculation, 6 miles is the Divisor.

Answer:

[tex]y^4[/tex]

Step-by-step explanation:

[tex]y^2*y^2[/tex]

Let's multiply the 2 by the other 2.

[tex]2*2=4[/tex]

Let's combine it all together

[tex]2*2\\y[/tex]

Since we already know that [tex]2*2[/tex] is [tex]4[/tex] , we add it to the y.

[tex]y^4[/tex]

Hope this helps!

Answer:

-9.4

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4[/tex]

Answer:

f(x) = -x+1

to find x-intercept/zero substitute f(x)=0.

0=-x+1

0=-x+1  move variable to the left-hand side and change its sign.

x=1

Answer:

answer is A 3.75x10^-3