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NikAS [45]
3 years ago
14

The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe

rs.
Enter a system of equations to represent the situation, then solve the system.

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:x=3 and y=15

Step-by-step explanation:

First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":

5x+4y=75 (1)

Then, we are told "he sum of the two numbers is 18":

x+y=18 (2)

At this point we have our system of equations and now we are able to find the values of x and y.

So, let's begin by isolating x from (2):

x=18-y (3)

Substituting (3) in (1):

5(18-y)+4y=75 (4)

Finding y:

90-5y+4y=75

y=15 (5) This is the value of y

Substituting (5) in (1):

5x+4(15)=75 (6)

Finding y:

5x+60=75 (7)

x=3 (8) This is the value of x

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P(-2,-1) and Q(4,3)

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average of y-coordinates = (-1+3)/2 = 1

midpoint of PQ: (1,1)

distance between midpoint and Q = √((4-1)²+(3-1)²) = √13

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NEED THIS ANSWER ASAP!!! What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+75x^4?
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3 years ago
Mai's mother was 28 when Mai was born. Mai is now 12 years old. In how many years will Mai's mother be twice Mai's Age
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Answer:

4

Step-by-step explanation:

Let x = the number of years

In x years, Mai's mother's age will be: 28 + x

                         and Mai's age will be:  12 + x

Then,                                      28 + x = 2(12 +   x)

Distribute the 2                      28 + x =    24 + 2x

Subtract 24 from each side     4 + x =            2x

Subtract x from each side             x = 4

In four years, Mai's mother will be twice Mai's age.

<em>Check: </em>

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