One electrician charges his customers a $60 service fee plus $35 per hour.
Another electrician charges her customers $65 per hour. How many hours must the
electricians work in order for the total cost of an eelectrician to be the same? What is
the total cost?

Answer: 50!!!

Step-by-step explanation:

B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.

Let's check each option:

A. (-1,3)

The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.

The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.

B. (0,2)

The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.

The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.

C. (1,2)

The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.

D. (2,-1)

The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.

The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.

E. (2,2)

The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.

Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).

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Answer:

16/3

Step-by-step explanation:

(3x + 14)x = 5

3x² + 14x = 5

3x² + 14x - 5 = 0

3x² + 15x - x - 5 = 0

3x(x + 5) - 1(x + 5) = 0

(3x - 1)(x + 5) = 0

x = 1/3 & -5

Here,

r = 1/3

s = -5

r - s

1/3 - (-5)

1/3 + 5

1 + 15/3

16/3

the value of the difference r-s is [tex]\bold{\frac{16}{3}}[/tex]

Answer:

Solution given:

(3x+14)x=5

opening bracket

3x²+14x=5

3x²+14x-5=0

Doing middle term factorisation

3x²+(15-1)x-5=0

3x²+15x-x-5=0

3x(x+5)-1(x+5)=0

(3x-1)(x+5)=0

either

x=-5

or

3x-1=0

3x=1

x=⅓

According to question value of x is r>s

so

⅓>-5

so

r=⅓

and

s=-5

Now

r-s=⅓-(-5)=[tex]\frac{1+5*3}{3}=\frac{16}{3}[/tex]

Answer:

d=8√2 = 11.31

x=3√3 = 5.20

y=6√3 = 10.39

Step-by-step explanation:

d²=8²+8²

d²=64+64

d²=128

d=√128

d=√64*2

d=8√2 = 11.31

30-60-90 triangle

x-x√3-2x

x√3=9

x=9/√3

x=3√3

y=2x

y=2 * 3√3

y=6√3

The new price of the scooter will be:

= $50 - (20% × $50)

= $50 - $10

= $40

The sale price of the football will be:

= 35% × $60

= $21

Answer:

4(n-8)

Step-by-step explanation:

4(n-8)

I think it'd be written like this

The line y = -1 parallel to line y = 6 that passes through the point (-2,-1).

y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)

Answer:

-23

Step-by-step explanation:

(t-8) - (t + 15)

t - 8 - t - 15

-8 - 15

-23

Answer:

225 pepper seedlings.

Step-by-step explanation:

WAY 1: common sense

half of 150 is 75

75 + 150 = 225

WAY 2: % of number

convert % to decimals (/100)

0.5 x 150 = 75

150 + 75 = 225

Answer:

9/10

Step-by-step explanation:

Convert: 3/5 * 6/5=18/25

Simplify and Round it towards 9/10

Answer:

40

Step-by-step explanation:

9x8 = 72

5x8 = 40

72:40 = 9:5

Hope that helps

Answer:

-9x - 9

Step-by-step explanation:

Combine like terms.

-3 • 2x= -6x.     -3 • 5= -15

-6x - 15 - 3x+ 6

-9x - 9

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

Answer:

y=0.75x-1

Step-by-step explanation:

Answer:

Weak and positive

Step-by-step explanation:

I just said it

The correlation of the data provided is Weak and the positive option (C) is correct.

A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.

We have a scatter plot shown in the picture.

As we can see in the dot plot the dots are scattered so much so there will be a very weak correlation between the variables.

As we know, the correlation is the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

The formula for the regression coefficient:

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

Drawing a line of best fit, we will see the correlation is Weak and positive.

Thus, the correlation of the data provided is Weak and the positive option (C) is correct.

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Answer:

See below

Step-by-step explanation:

I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.

Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.

Hopefully, this explanation helps you to think of your discussion post!

Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

More about the Algebra link is given below.

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Answer:

6.5

Step-by-step explanation:

Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.

Hope this helps! :)

Answer:

try 20%

Step-by-step explanation:

Answer:

x^5/4

Step-by-step explanation:

The first one

Answer:

8/5

Step-by-step explanation:

You can rewrite the equation to 2/5 * 12/3

Which is equal to 2/5*4

So 2 times 4 is 8

So the answer is 8/5

Hope this helps!