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Komok [63]
3 years ago
5

Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the

room if they worked​ together?
Mathematics
1 answer:
KatRina [158]3 years ago
8 0

Answer: About 3 hours and 5 minutes to paint the room together.

Step-by-step explanation:

Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.

Room/Hour

1/5 ± 1/8 =8/40  

8/40+5/40=13/40

How long to paint the room?

13/40 x 1= 40/13

40÷13=3.0777

So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes

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In the accompanying diagram, line BD bisects acute angle ABC and line AD is parallel to line BC. What kind of triangle must tria
galina1969 [7]

Answer:

  isosceles

Step-by-step explanation:

With AD║BC, ∠ADB ≅∠DBC. The angle bisection also ensures that ∠ABD≅∠DBC. Hence the two angles ABD and ADB must be congruent to each other.

A triangle with two congruent internal angles is an isosceles triangle.

6 0
3 years ago
Given a circle with an area of 25 pi in^2 <br> What is the exact circumference?
Taya2010 [7]

Answer:

31.4

Step-by-step explanation:

C = 2πr OR C = πd

But, we need to find r first.

A = \pi r^2\\25\pi = \pi r^2\\\sqrt{25} = \sqrt{r^2} \\r=5\\\\C=2\pi r\\C=2\pi (5)\\C= 10\pi \\C= 31.4

7 0
3 years ago
2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?
mezya [45]

Answer:

the inverse of the quadratic function f(x) = x^2 - 3  is \mathbf{f^{-1}(x)=\pm \sqrt{x+3}}

Step-by-step explanation:

We need to find inverse of the quadratic function f(x) = x^2 - 3

Let

y=x^2-3

Replace x and y

x=y^2-3

Now, we will solve for y

Adding 3 on both sides

x+3=y^2-3+3

x+3=y^2

Taking square root on both sides

\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}

Now replace y with f^{-1}(x)

f^{-1}(x)=\pm \sqrt{x+3}

So, the inverse of the quadratic function f(x) = x^2 - 3  is \mathbf{f^{-1}(x)=\pm \sqrt{x+3}}

3 0
2 years ago
Jessica ordered 10 bouquets of tulips, 4 bouquets of roses, and 6 bouquets of lilies for a total of $670. The combined cost to b
LUCKY_DIMON [66]

Answer:C

Step-by-step explanation:

Let x represent the cost of a bouquet of tulips.

Let y represent the cost of a bouquet of roses.

Let z represent the cost of a bouquet of lilies.

Jessica ordered 10 bouquets of tulips, 4 bouquets of roses, and 6 bouquets of lilies for a total of $670. This means that

10x + 4y + 6z = 670 - - - - - - - - - 1

The combined cost to buy one of each type of bouquet is $115. This means that

x + y + z = 115- - - - - - - - - 2

If a bouquet of lilies costs $5 more than a bouquet of tulips, it means that

z = x + 5 - - - - - - - - - 3

Substituting equation 3 into equation 1 and equation 2, it becomes

10x + 4y + 6(x+5)= 670

10x +4y + 6x + 30 = 670

16x + 4y = 670 - 30

16x + 4y = 640 = - - - - - - - - - 4

Substituting equation 3 into equation 2, it becomes

x + y + x + 5 =

2x + y = 115 - 5

2x + y = 110 - - - - - - - - - 5

Multiplying equation 5 by 4 , it becomes

8x + 4y = 440 - - - - - - - - - 6

Subtracting equation 6 from equation 4, it becomes

8x = 200

x = 200/8 = 25

2x + y = 110

2×25 + y = 110

50 + y = 110

y = 110 - 50 = 60

z = x + 5

z = 25 + 5 = 30

The cost of one bouquet of tulips is $25, one bouquet of roses is $60, and one bouquet of lilies is $30.

8 0
3 years ago
Sam takes his little sister to a create-your-own doll shop. To create a doll, Sam pays $3.00 for the doll and then $1.50 for eac
ZanzabumX [31]
The answer is 3.00+1.50x<_ 12
6 0
3 years ago
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