The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]

Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side

[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]

Now, we can plug in our value for x into the given equation

[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]

Open the parentheses

[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]

Merge Y values

[tex]6.8+10.8y=23[/tex]

Separate numerical values from variables

[tex]10.8y=16.2[/tex]

Divide by 10.8 in order to have a coefficient of 1

[tex]y=1.5[/tex]

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

[tex]5x+3(1.5)=17[/tex]

Open parentheses

[tex]5x+4.5=17[/tex]

Single out the variable

[tex]5x=12.5[/tex]

Divide by 5 to have a coefficient of 1 before x

[tex]x=2.5[/tex]

[tex]y=1.5[/tex]

Answer:

Since the centre of the circle is (−4,−5) and its radius =6

Then, the equation of the circle is

⇒(x−(−4))

2

+(y−(−5))

2

=6

2

⇒(x+4)

2

+(y+5)

2

=36

⇒x

2

+8x+16+y

2

+10y+25−36=0

⇒x

2

+y

2

+8x+10y+5=0

Step-by-step explanation:

Paki brainlilest na lng po salamaf

x÷2=1.000.000.000

x=1.000.000.000×2

x=2.000.000.000

Check:

2.000.000.000÷2=1.000.000.000

let's find the value of x

Answer:

7.9 pounds of fruit

Step-by-step explanation:

In all means to add, so 7 + .9 = 7.9 pounds

Answer:

(9d+3)

Step-by-step explanation:

(6d+5)-(2-3d)

>(6d+5)+(-2+3d)

>{(6d+3d)+(5-2)}

=(9d+3)

28.3

Step-by-step explanation:

the difference is the answer to a subtraction problem so we can plug in our numbers like this

25.6-(-2.7) which equals 28.3

a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example

Answer:

He's right it's 28.3

Step-by-step explanation:

Answer:

indeed

Step-by-step explanation:

3+3=6

Answer:

i think its 1/2

Step-by-step explanation:

Answer:

A. 1/2

1 over 2 is equal to 1/2

B. 1/2 Batch

Answer:

The slope of the line that passes through the points would be 0

Step-by-step explanation:

Lets use the formula : y2-y1/x2-x1

In this case lets let y2 be -8 and y1 be -8

And lets let x2 be 6 and x1 be 10, that would look like..

-8-(-8)/6-10

which equals...

0/-4 = 0

We know that the slope of the line is 0

Answer:

358.9 I think

Step-by-step explanation:

1. We can simply multiply 6.50 by 2!

6.50 x 2 = 13

The book cost $13

2. The easiest way to do this is to convert the fractions into decimals.

1/4 = 0.25

1/5 = 0.2

1/8 = 0.125

Add them together: 0.575!

Subtract this from 1: .425

Multiply by 100: 42.5

42.5% is your answer!

Hope this helps!

Answer: B

Step-by-step explanation:

Answer:

1.43 = x

Step-by-step explanation:

Math in the picture attached. Hope it helps!

Answer:

x = 55.6

Step-by-step explanation:

Recall the 3 main trig functions

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

Note that hypotenuse = longest side length

We want to find angle "x".

We are given its opposite side length ( 19 ) as well as the adjacent side length

When dealing with the opposite and adjacent we use tan

Tan = Opp / Adj

Opp = 19 and Adj = 13

Tan(x) = 19/13

* take the inverse tan of both sides *

x = 55.6

Answer:

hmmm

Step-by-step explanation:

hmmm

Answer:

DE, EW, WD

Step-by-step explanation:

From shortest line to longest line this would be the correct order.

Answer:

9/35

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

ok so find the lcm of 2/5 and 1/7: this is 35

then convert them

2/5 = 14/35

1/7 = 5/35

14/35 - 5/35 is 9/35

Answer:

Step-by-step explanation:

parrallel line = gongruent angles

16x - 7 = 15x

16x - 15x = 7

x = 7

------------------------

7 * 15 = 105° your answer

--------------------------------

16 * 7 - 7 = 15 * 7

105 = 105

the answer is good

Answer:

$100

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 = 7 parts , then

$350 ÷ 7 = $50 ← value of 1 part of the ratio , then

2 parts = 2 × $50 = $100 ← smaller share

Answer:

[tex]n \times 12[/tex]

.......

Answer:

The answer is 0.6

Step-by-step explanation:

I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.

Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:

x + y + z = 0.8

y + z = 0.5

y = 0.3

If you solve this, you will get:

x = 0.3

y = 0.3

z = 0.2.

To get P(A), you x and y to get x + y = 0.6

100 mph per hour

Step-by-step explanation:

solution

speed of auto mobile=50mph

distance already traveled when the airplane took out in pursuit=200miles

time taken to overtake the car=4 hours

Now,

let the speed of airplane be X

X=50×4+200

or,X=200+200

or,X=400

or, X=400÷4

Therefore, X=100

Answer:

21.2

Step-by-step explanation:

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

Answer A

21.2

Step-by-step explanation:

In 2008, up to 405 messages could be sent without spending more than $ 100.

Since in 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that, while today, most packages include unlimited text and data but cost closer to $ 100 a month, to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation must be performed:

Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.

Learn more about maths in https://brainly.com/question/25908673

Answer:

y intercept is 6 and the rate of change is Y=3x+6

Step-by-step explanation:

Answer:

y intercept = 6

rate of change = -4

Step-by-step explanation:

the line hits the y axis at 6 so that is the y intercept

The line falls 4 and goes over 1

I hope this helps!!