The sum of two numbers is 13. Two times the first number minus three times the second number is 1. If you let x stand for the first number and y for the second number, what are the two numbers?

Answers

Answer 1

Answer: x+y= 13
2x-3y= 1
This can be found by using a system but I will try this method:
x=13-y
We replace it on the second one:
2(13-y) + y = 13
26-2y + y=13
-y= -13
y= 13

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A number changed to 193 after it was rounded. To what place was the number rounded?
At a basketball game, for every 2 baskets team A scored, team B scored 3 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is?
What is the reading in kwhr of the electric meter shown in the exam figure below?
What value of x makes the equation true? 3x+21=8x-4

On a new construction site, an electrician can install a new light fixture in 20 minutes. A project calls for 24 new fixtures to be installed on each of 4 floors. If a work day is 8 hours, how many work days will it take two electricians to complete the installations?

Answers

20 minutes per fixture.
24 fixtures per floor. = 20*24 = 480 minutes per floor
4 floors. = 1920 minutes total.
1920 minutes = 32 hours (divide by 60)

32 hours/2 electritians = 16 hours per person
16 hours per person/8 hours per work day = 2 work days.

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)^x and f(5) = 972. What does the 5 represent?

Answers

The population of a species of rabbit triples every year. This can be modeled by f(x) = 4(3)^x and f(5) = 972.

The 5 that is found inside the function has a significant meaning.
It represents the population of a species of rabbit every year. It substitutes the variable x.

The number of bees that visit a plant is 500 times the number of years the plant is alive, where t represents the number of years the plant is alive. What does the expression 500t represent?

Answers

the amount of bees that go to the plant times the amount of years the plant lives

500t represents the number of bees that visit the plant

Find the intercepts for the graph of the equation 8x-4y=24. type an ordered pair for y and x

Answers

X - Intercept: 8x - 4y = 24
8x - 4(0) = 24
8x - 0 = 24
8x = 24
8 8
x = 3
(x, y) = (3, 0)

Y - Intercept: 8x - 4y = 24
8(0) - 4y = 24
0 - 4y = 24
-4y = 24
-4 -4
y = -6
(x, y) = (0, -6)

Final answer:

The intercepts for the graph of the equation 8x-4y=24 are (0, -6) for the y-intercept and (3, 0) for the x-intercept.

Explanation:

To find the intercepts for the graph of the equation 8x-4y=24, we need to substitute 0 for x to find the y-intercept and substitute 0 for y to find the x-intercept.

For y-intercept:

8(0) - 4y = 24

-4y = 24

y = -6

So the y-intercept is (0, -6).

For x-intercept:

8x - 4(0) = 24

8x = 24

x = 3

So the x-intercept is (3, 0).

Thus, the graph has x & y intercepts as (3, 0) and (0, -6) respectively.

Learn more about Intercepts here:

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A and B share the cost in a ratio of 3:2 . The cost is ?85; how much does A pay?

Answers

Answer:

The amount of money A pays is $\$51$

Step-by-step explanation:

Let

x-----> amount of money A pays

y-----> amount of money B pays

we know that

$x+y=85$ ------> equation A

$(x)/(y)=(3)/(2)$

$y=(2)/(3)x$ ------> equation B

substitute equation B in equation A and solve for x

$x+((2)/(3)x)=85$

$(5)/(3)x=85$

$x=85*3/5=\$51$

Of the 8 students in the chess club, three will represent the club at an upcoming competition. How many different 3-person teams can be formed from the 8 students?

Answers

I think that this is a combination problem. From the given, the 8 students are taken 3 at a time. This can be solved through using the formula of combination which is C(n,r) = n!/(n-r)!r!. In this case, n is 8 while r is 3. Hence, upon substitution of the values, we have

C(8,3) = 8!/(8-3)!3!
C(8,3) = 56

There are 56 3-person teams that can be formed from the 8 students.

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