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Yuri [45]
3 years ago
13

Brainliest, 35 points

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

13 1/2

Step-by-step explanation:

9 ÷ 2/3

Copy dot flip

9 * 3/2

27/2

Change from an improper fraction to a mixed number

2 goes into 27 13 times with 1 left over

13 1/2

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consuela's living room is a rectangle with an area of 360 square feet. the width of the living room is 5/8 its length. what is t
Aleks [24]
Area of Consuela's rectangular living room = 360 square feet
Let us assume the the length of the living room = x
Then
width of the living room = (5/8) * x
                                      = (5x/8)
Then
Area of the rectangle = Length * Width
360 = x * (5x/8)
360 = 5x^2/8
2880 = 5x^2
x^2 = 2880/5
x^2 = 576
x^2 = (24)^2 inches
x = 24
Then
The length of the rectangle is = 24 inches
And 
The Width of the rectangle is = 24 * (5/8) inches
                                               = 3 * 5 inches
                                               = 15 inches

3 0
3 years ago
Read 2 more answers
Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char
Airida [17]
Hi there! The answer is 72 guests.

To find our answer we need to set up and solve an equation. Let the total number of guests be represented by g. The cost per guest is $13.50
Therefore the cost for all of the guests will be $13.50 × g.

To find the total cost we need to add the additional fee of $540 to cover linens and tableware.

Now we've found our equation.
13.5g + 540 = 1512

Subtract 540.
13.5g = 972

Divide by 13.5
g = \frac{972}{13.5} = 72

Therefore, there are 72 guests. The answer is 72.
~ Hope this helps you!
8 0
3 years ago
Read 2 more answers
Find the value of sin30+tan^(2)60+sec^(2)45​
xenn [34]

Answer:

Step-by-step explanation:

sin 30+tan²(60)+sec²(45)

=1/2+ (√3)^2+(√2)²

=1/2+3+2

=5 1/2

=5.5

3 0
2 years ago
Point D is in the interior of ∠ABC. What is m∠DBC?
Rudiy27

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

3 0
2 years ago
Convert -3x + 2y = 10 into slope-intercept form.
GrogVix [38]
Y=3/2x+5 is the answer
4 0
3 years ago
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