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Anon25 [30]
3 years ago
12

Can someone help me with these questions please?

Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Step-by-step explanation:

You can solve systems of equations using either substitution or elimination.  For these problems, I recommend elimination.  I'll do the first one as an example.

-3x + 16y = 9

-4x + 8y = 12

Multiply the second equation by -2.

8x − 16y = -24

Add to the first equation (notice the y's cancel out).

(-3x + 16y) + (8x − 16y) = 9 − 24

5x = -15

Solve for x.

x = -3

Now you can plug this into either equation to find y.

-3(-3) + 16y = 9

9 + 16y = 9

y = 0

The solution is (-3, 0).

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State the property that justifies the statement
cluponka [151]

Answer:

A. Subtraction Property of Equality

Step-by-step explanation:

3x + 4 = 10

Subtract 4 from both sides ---->Subtraction Property of Equality

3x + 4 - 4 = 10 - 4

3x = 6

So

If 3x + 4 = 10, then 3x = 6

Answer

A. Subtraction Property of Equality

7 0
3 years ago
Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it
LenKa [72]

Answer:

Person A paints the house in 12 days.

person B paints the house in 60 days.

Step-by-step explanation:

The together rate is the sum of each separate rate.

Person A can paint the neighbor's house 5 times as fast as Person B.

This means that the rate of person A is 1/x, and the rate of person B is 1/5x.

The year A and B worked together, it took them 10 days.

This means that:

\frac{1}{x} + \frac{1}{5x} = \frac{1}{10}

Multiplying everything by 10x

10 + 2 = x

x = 12

This means that:

Person A paints the house in 12 days.

person B paints the house in 60 days.

8 0
3 years ago
Which is a factor of 10 but not a mutiple of 2? choices are 8,5,4,and 6
Verizon [17]

5 is Your answer,5 factors into 10 but none of the other choices do


8 0
3 years ago
Read 2 more answers
A state offers specialty license plates that contain 3 letters followed by 2 numbers. License plates are assigned randomly. All
Maslowich

Answer:

Step-by-step explanation:

# of ways to succeed: 10*10*10*3*25*25--# of possible plates: 10*10*10*26*26*26----P(exactly one W) = [10^3*3*25^2]/[10^3*26^3] = 3*25^2/26^2 = 1875/17576

4 0
2 years ago
Which of the following are important properties of the arithmetic mean? Check all that apply. Multiple select question. The mean
vovikov84 [41]

Answer:

All of the values in the data are used in calculating the mean.

The sum of the deviations is zero.

There is only one mean for a set of data.

Step-by-step explanation:

Required

True statement about arithmetic mean

(a) False

The mean can be equal to, greater than or less than the median

(b) True

The arithmetic mean is the summation of all data divided by the number of data; hence, all values are included.

(c) True

All mean literally represent the distance of each value from the average; so,  when each value used in calculating the mean is subtracted from the calculated mean, then the end result is 0. i.e.\sum(x - \bar x) = 0

(d) True

The mean value of a distribution is always 1 value. When more values are added to the existing values or some values are removed from the existing values, the mean value will change.

(e) False

Nominal data are not numerical or quantitative data; hence, the mean cannot be calculated.

3 0
3 years ago
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