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Elina [12.6K]
3 years ago
11

The difference of two numbers is 18, and their sum is 90. Find the number​

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

72

Step-by-step explanation:

You Subtract 18 from 90 and get 72

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3y + 5z + 8y - 3z<br><br> A: 11y + 5z<br> B: 14y + 2z<br> C: 14y + 8z<br> D: 16yz
xxMikexx [17]
Combine like terms:
<span>3y + 5z + 8y - 3z = (3y + 8y) + (5z - 3z) = 11y + 2z

So you would choose A confidently
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6 0
3 years ago
Solve and state any extraneous solutions
Mice21 [21]

\frac{3x}{x - 1}  + 2 =  \frac{3}{x - 1}

\frac{3x}{x - 1} +  \frac{2(x - 1) }{ x - 1}   =  \frac{3}{x - 1}

\frac{3x}{x - 1}  +  \frac{2x - 2}{ x - 1}  =  \frac{3}{x - 1}

\frac{3x + 2x - 2}{ x - 1}  =  \frac{3}{x - 1}

3x + 2x - 2 = 3

5x - 2 = 3

5x = 3 + 2

5x = 5

x =  \frac{5}{5}

x = 1

3 0
3 years ago
Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls
Setler79 [48]
The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y=  156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.
6 0
3 years ago
Y=-x^2-10x+24 What is the y value of the vertex?
emmasim [6.3K]

Answer:

Step-by-step explanation:

1.) Get the equation in the form y = ax^2 + bx + c.

2.) Calculate -b / 2a. This is the x-coordinate of the vertex.

3.) To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

1.) y = -x^2 - 10x + 24

2.) -(-10) / 2(-1) = -5

3.) y = -(-5)^2 - 10(-5) + 24

    y = -25 + 50 + 24

    y = 49

7 0
3 years ago
Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of th
Fynjy0 [20]

Answer:

The length of the slide he needs to make = AC = L = 14.3 ft

Step-by-step explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

\theta = 39 °

From  Δ ABC

\sin \theta = \frac{AB}{AC}

Put all the value in the above formula

\sin 39 = \frac{9}{L}

L = \frac{9}{0.629}

L = AC = 14.3 ft

Therefore the length of the slide he needs to make = AC = L = 14.3 ft

3 0
3 years ago
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