Every week hector works 20 hours and earns $210.00 he earns a constant amount of money per hour white a equation that can be used to determine the number of hours h hector works given the number of weeks w

Anwser:

5.3/4 = 1.3 (.3 repeating)

Step-by-step explanation:

5 1/3 = 5.3 (.3 is repeating)

then divided by 4

Answer:

a. The slope m is 0.02

b. The initial value b is 250

c. y = 0.02x + 250

d. His weekly income is $262  if the sales were $600.00

Step-by-step explanation:

the form of the linear equation is y = m x + b, where

∵ A real estate sales agent receives a salary of $250 per week

→ This is a fixed amount every week

∴ b = 250

∵ They give a commission of 2% of sales

→ This value depends on the sales (rate of change)

∵ 2% = 2 ÷ 100 = 0.02

∴ m = 0.02

a. The slope m is 0.02

b. The initial value b is 250

∵ y represents the weekly income

∵ x represents the sales

∵ m = 0.02 and b = 250

∴ The equation is y = 0.02x + 250

c. y = 0.02x + 250

∵ The sales were $600.00

∴ x = 600

→ Substitute it in the equation to find y

∵ y = 0.02(600) + 250

∴ y = 12 + 250

∴ y = 262

d. His weekly income is $262  if the sales were $600.00

Answer:

The 50th score is 46.

Step-by-step explanation:

Given that

[tex]a_{50} = 26.4\\a_{49} = 26\\n_1 = 50\\n_2 = 49[/tex]

In order to find the 50th score we have to find sum of 49 values and 50 values and then subtract them.

Average is given by the formula:

[tex]Average = \frac{Sum}{Number\ of\ values}\\[/tex]

Using this formula, we can calculate sum for both averages

So,

[tex]a_{50} = \frac{s_{50}}{n_1}\\26.4 = \frac{s_{50}}{50}\\26.4*50 = s_{50}\\s_{50} = 1320[/tex]

And

[tex]a_{49} = \frac{s_{49}}{n_2}\\26.4 = \frac{s_{49}}{49}\\26*49 = s_{49}\\s_{49} = 1274[/tex]

Now for the 50th score,

[tex]50th\ score = s_{50} - s_{49} = 1320-1274 = 46[/tex]

Hence,

The 50th score is 46.

Answer:

x < -8.5

Step-by-step explanation:

-46 - 8x > 22

-8x > 68 -- when you divide by a negative number in an inequality, you flip the inequality sign

Therefore, x < -8.5

Answer:

(1) & (3)

Step-by-step explanation:

Given

List of options

Required

Select which is equal to 60 when h = 3

To do this, we simply substitute 3 for h in all of the options.

1.

[tex](h + 1)^3 - 4[/tex]

[tex](3 + 1)^3 - 4[/tex]

[tex]4^3 - 4[/tex]

[tex]64 - 4[/tex]

[tex]60[/tex]

Hence:

[tex](h + 1)^3 - 4= 60[/tex]

2.

[tex](4h)^2 + 36[/tex]

[tex](4*3)^2 + 36[/tex]

[tex](12)^2 + 36[/tex]

[tex]144 + 36[/tex]

[tex]180[/tex]

Hence:

[tex](4h)^2 + 36=180[/tex]

3.

[tex]4h^2 + 24[/tex]

[tex]4*3^2 + 24[/tex]

[tex]4 * 9 + 24[/tex]

[tex]36 + 24[/tex]

[tex]60[/tex]

Hence:

[tex]4h^2 + 24 = 60[/tex]

Answer:

350 will be your answer :)

Step-by-step explanation:

so i did 70 divided by 2 because 140 divided by 70 = 2

and 70 divded by 2 IS 35!

But wait that isn't what it's asking for right?

then i did 35 TIMES 10 cuz that's what it;s asking for

i got 350 and so should you so in conclusion 350 is your answer

Hopefully this helped!

Answer:

They will drive 350mi in 10hrs.

Step-by-step explanation:

If they go 70 miles in 2hrs then that means they go 35mi in 1hr. So multiply 35 by 10 and you get 350mi.

Answer: (P-40)/5 = a

Step-by-step explanation:

P = 5(a+8)

P = 5a + 40

P - 40 = 5a

(P-40)/5 = a

Answer:

The upper bound for the total mass of the 50 parcels is 850 kilograms.

Step-by-step explanation:

From statement we infer that upper bound is represented by the 50 identical parcels completely full. Then, the upper bound is the product of number parcels and maximum capacity of each parcel:

[tex]m_{UP} = (50\,parcel)\cdot \left(17\,\frac{kg}{parcel} \right)[/tex]

[tex]m_{UP} = 850\,kg[/tex]

The upper bound for the total mass of the 50 parcels is 850 kilograms.

Answer:

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Step-by-step explanation:

Given that the total cost of manufacturing by the company is $15000.

Let x be the number of gallons the company sells.

It is also mentioned that the company earns $10 on each gallon.

So the total profit will be the the difference of the selling cost of gallons and manufacturing cost

Mathematically,

[tex]10x-15000[/tex]

Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so

[tex]10x-15000 \geq 50000[/tex]

The number of gallons can be found by solving the obtained inequality.

Hence,

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Answer:

2nd option

Step-by-step explanation:

2 3/8-1 3/10

19/8-13/10

190/80-104/80

86/80

43/40

1 3/40

Answer:

Natalie win as the 6th grade class president

Step-by-step explanation:she win by 4 points after Phil and Natalie has 16 votes and Phil has 12 votes

Answer:

-289=(34+x) * x

Answer:

5/4

Step-by-step explanation:

At McNeely farm there are 75 sheep and 60 cow

Therefore the number of ratio of cow to sheep can be calculated as follows

= 75/60

=5/4

Answer:

4/5

Step-by-step explanation:

Answer:

I- true.................

Answer:

No

Step-by-step explanation:

Answer:

So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.

Step-by-step explanation:

Answer:

1. 2:20

2. 3:30

3. 4:40

Step-by-step explanation:

1/10 can be written as a ratio like so - 1:10

Now we just have to change both numbers by multiplying or dividing by the same amount to get 3 equivalent ratios.

We can multiply both numbers by 2 to get - 2:20

Or we can multiply both numbers by 3 to get - 3:30

And, we can also multiply both numbers by 4 to get - 4:40

These are 3 possibilities of many possibilities

Hope this Helps!!! :)

Let me know if this answer was perfect or if I should change it in the comments!!!

Answer:

7 hours

Step-by-step explanation:

She is driving at 780/12 (65) mph. 455/65=7. She will take 7 hours

Answer:

18 degrees Fahrenheit

Step-by-step explanation:

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

Answer:

y= -4x-12  

     -4x

y= -12

Step-by-step explanation:

So Y is equal to -4x minus 12. You subtract the -4x by itself that will leave you with zero. And then you bring down Y and -12, and it will say that Y is equal to -12.

Answer:

X Y

0 -12

3 -24

-3 0

Step-by-step explanation:

Hello! I have done this test and the answer is!..... D: S=7

Have a great day!!!

Answer:

2:3

Step-by-step explanation:

a/3 = b/2

a/b=3/2

b/a=2/3

b:a=2:3

2:3 is a ratio of b:a

Answer:

y=-2×+2

Step-by-step explanation:

Hope this helped you out and sorry if it is wrong!

Answer:

1:35

Step-by-step explanation:

Answer:

It will be 1:35

Step-by-step explanation:

2:00 - 25 = 1:35.

Answer:

It would be an acute scalene triangle

Step-by-step explanation:

All angles measures are less than 90 so it would be acute. No sides are equal so it would be scalene.

We can classify this triangle as Scalene Acute triangle.

We have a triangle angle measures of 82, 75 and 23 and no sides equal (congruent) in length.

We have to classify this triangle.

A triangle is a plane figure with three straight sides and three angles.

According to question, we have -

A triangle with no side congruent and all angles acute and unequal.

If all the three sides of a triangle are of same length, then the sides are said to be congruent. In an Equilateral triangle all the sides are congruent. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle. An acute angle triangle (or acute-angled triangle) is a triangle in which all the interior angles are acute angles i.e. 0 < [tex]\theta[/tex] < 90. Therefore, it is a Scalene acute triangle.

Hence, we can classify this triangle as Scalene Acute triangle.

To solve more questions on Scalene triangle , visit the link below -

brainly.com/question/10651823

#SPJ6

Answer:

Sue collected 1/2 bags of clothes.

Step-by-step explanation:

Fractions

Let's solve the problem from end to beginning.

Martin collected 2 1/2 bags of clothes for a clothing drive. This mixed fraction can be expressed as:

[tex]2\frac{1}{2}= 2+\frac{1}{2}=\frac{5}{2}[/tex]

Sue collected 1/5 as many clothes as Martin did. This means she collected:

[tex]\frac{1}{5}\cdot \frac{5}{2}[/tex]

Multiplying:

[tex]\frac{1}{5}\cdot \frac{5}{2}=\frac{1}{2}[/tex]

Sue collected 1/2 bags of clothes.

Answer:

-0.2084

Step-by-step explanation:

[tex] log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084[/tex]

Answer:

x=4.5

Step-by-step explanation:

divided both sides by 2, your equation is now x=4.5