A playgroup class has 80 students, and 20 teachers.
Ratio: 80:20
SIMPLIFY THIS RATION DOWN>

Answer:

29

Step-by-step explanation:

Use PEMDAS

First, you will do the parenthesis which is 3.   20+3(3)

Next, you will multiply 3 by 3, which is 9.     20+9

Last you will add 20 and 9.   29

Do order of Operations.

Parentheses:

(8-5) which is 3. You now have

20+3(3).

Multiply:

3(3) which gives you 9. Now you have

Add:

20+9. Which gives you 29.

So the answer to this question is 29.

I Hope I explained this good enough, if you have any more questions, ask me.

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

Answer:

Step-by-step explanation:

7, 1

Answer:

[tex]t=\frac{5}{8}s[/tex] and [tex]s(\frac{5}{8})=\frac{37}{4}ft[/tex]

Step-by-step explanation:

There are different approaches you can take to solve this problem. You can look at it from the geometric approach or the calculus approach. I will us the geometric approach.

When we analyze the given function for the height of the ball:

[tex]s(t)=-16t^2+20t+3[/tex]

we can see that we are dealing with a quadratic function. This means that the graph will be an inverted parabola, just like the one in the attached picture.

so the idea is to find the vertex of the parabola to find the highest the ball gets to be and the time it gets to be at that height.

In order to do so, we can use the vertex formula, which looks like this:

[tex]t=-\frac{b}{2a}[/tex]

this is use when you have a function with the form:

[tex]f(x)=ax^2+bx+c[/tex]

in this case:

a=-16, b=20 and c=3, so the formula then turns to:

[tex]t=-\frac{20}{2(-16)}[/tex]

which yields:

[tex]t=\frac{5}{8} s[/tex]

which is our first answer. So we can then use this to find the maximum height of the ball, just by substituting t into the original function:

[tex]s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+3[/tex]

which yields:

[tex]s(\frac{5}{8})=\frac{37}{4} ft[/tex]

which is our second answer.

Answer:

Step-by-step explanation:

total meal cost = meal cost + tax cost + tip cost

[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]

The answer is 10.93

Step by step explanation

Answer:

220g/cm³

Step-by-step explanation:

Given parameters:

  Mass of the weight = 220000g

  Volume  = 1000cm³

Unknown:

Density of weight = ?

Solution:

Density is the mass per unit volume of a substance.

Mass is the amount of matter in a substance.

Volume is the amount of space a substance occupies

        Density  = [tex]\frac{mass}{volume}[/tex]

Input the parameters and solve

        Density  = [tex]\frac{220000}{1000}[/tex]  = 220g/cm³

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]

Simplify it.

[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]

[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]

[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]

[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

Until the age of [tex]59.5[/tex] years, the amount saved from the withdrawal of funds is [tex]\$3,600.[/tex]

Used the concept of tax which states that,

A tax is an obligatory payment made by the taxpayer to the government in respect of the income earned in the previous year.

Given values:

Amount of funds: [tex]\$45,000[/tex]

Normal tax rate: [tex]20\%[/tex]

Penalty rate at [tex]59.5[/tex] years: [tex]10\%[/tex]

Step-1; Computation of after-tax amount paid at 54 years:

[tex]A_1= \text{Amount of funds} \times (1 - \text{Tax rate})[/tex]

[tex]= \$45,000 \times (1 - 0.2)[/tex]

[tex]= \$36,000[/tex]

Step-2; Computation of after-tax amount paid at 59.5 years:

[tex]A_2 = \text{Amount of funds} \times (1 - \text{Tax rate}) (1 - \text{Penalty rate})[/tex]

[tex]= \$45,000 \times (1 - 0.20) \times (1 - 0.10)[/tex]

[tex]= \$32,400[/tex]

Step-3; Computation of the amount saved;

[tex]\text{Amount saved} = A_1 - A_2\\= \$36,000 - \$32,400\\= \$3,600[/tex]

Therefore, the amount  [tex]\$3,600.[/tex] was saved with the amount of [tex]\$36,000[/tex] paid-in [tex]54[/tex] years and the amount of [tex]\$32,400[/tex] paid-at [tex]59.5[/tex] years.

Learn more about taxes in the related link:

brainly.com/question/18367351

#SPJ12

Answer: Not always the same

Step-by-step explanation:because as its shown every amountof tuna is not the same.

Answer: the price is not always the same/9 pounds

Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6

Answer:

The first option 3/4(4/3)x=-6(4/3)

Step-by-step explanation:

Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.

Answer:

x=2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

1x + 2x = 30​

3x = 30

x = 10

Answer:

How do you do 4+1346=? AnswerL 1350

600x787 and 675dividedby700= 472200  :D

Step-by-step explanation:

Answer:

4+1346=1350 ... 600x787=472200

675÷700=0.96

Answer:

4x812y3

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

5(1+3) to the power of 2

5×1=5 5×3=15

(5+15) to the power of 2

5+15=20

20 to the power of 2 = 400

Answer:

.72 and on going

Step-by-step explanation:

Answer:

My answer will be 3.

Step-by-step explanation:

Answer:

-650ft

Step-by-step explanation:

I took a test with a question like that

Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser

Name: ________________________________________ Date: ______________ Block: _________

Linear Regression Review

Suppose we have the following points:

1) Draw a scatter plot of the data:

2) What is the line of best fit?

Use the calculator:

 Turn on diagnostics (Catalogue: DiagnosticsOn) to view correlation coefficient. The

closer |r| = 1, the better the data fit

 <STAT PLOT> Turn plot 1 on, and choose scatter plot, L1, L2

 Enter x values in L1

 Enter y values in L2

 <STAT><CALC><4:LinReg>L1, L2, <VARS><Y-VARS><1:Function><1:Y1> <enter>

 Y = ax + b = equation of line of best fit. Equation: ________________________________

 Press <ZOOM>< 9:ZoomStat>

Questions: What would we expect the y-value to be for x value 59? 64? 67?

Use the equation or TABLE feature of the calculator to find out…

x = 59, y = ____________, x = 64, y = ___________, x = 67, y = ________

What would we expect the x-value to be for a y value of 2? _________

 The line of best fit allows us to make predictions for data that is almost linear.

 What if data is not linear but is more like another curve?

Algebra 1 Notes A.11 Quadratic Regression Mrs. Grieser Page 2

Quadratic Curve of Best Fit (Quadratic Regression)

 Plot the data (same as linear regression)

 Use calculator QUADREG function to find curve equation and predict values.

 Calculator regression functions: <STAT><CALC>…

o 5: QuadReg: quadratic regression – finds a quadratic of best fit (y=ax2+bx+c)

Example 1:

The table shows the monthly sales (thousands) for a new hair salon since its grand opening

in March.

Month 0 1 2 3 4 5

Sales 5.6 5.8 6.2 6.9 7.9 9.0

1) Find the best fitting quadratic model. ________________________________

2) What is the prediction for total sales in September? ___________________

3) How do you know that the better model to use a quadratic fit rather than a linear fit?

Example 2:

Mrs. Grieser's class did an experiment by rolling a marble down different length slanted

boards and timing how long it took. The results are shown below:

sec. 0 4.5 11 13.4 10 8.9 14.1 9.5 12.6

cm. 0 10 60 90 50 40 100 45 80

1) Plot the data:

2) What is the quadratic curve of best fit?

3) Based on the graph, how long would it take for the

marble to roll 15 cm?

4) Approximately how far will the marble travel in 3

seconds?

5) How do we know that a quadratic model is better than a linear model for this example?

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

Answer:

1 1/3

Step-by-step explanation:

-4/9 ÷ -1/3

Copy dot flip

-4/9 * -3/1

Rewriting

-4/1 * -3/9

simplify

-4/1 * -1/3

Multiply

4/3

Change to a mixed number

1 1/3

Answer:

So the quotient is when you divide so it would be the last one 1 and 1/3

Step-by-step explanation:

-4/9x3/-1(flip the reciprocal)

-12/-9

remove both negatives

simplify and divide both by three and you should get 4/3 which is 1 1/3

Answer:

1. n=11 2. n=5 3. n=15 4. n=4 5. n=4 6. n=27

Step-by-step explanation:

1. Subtract 2 from 13 to get your answer of 11

2. Divide 15 by 3 to get your answer of 5

3. Multiply both sides by 3 to cancel out the division of 3 and you'll get 30, then divide both sides by 2 to get your answer of 15

4. Add 5 to both sides to cancel out the negative 5 and you'll get 4

5. Subtract 3 from both sides to cancel out the 3 and you'll end up with 2n=8, then you wanna divide both sides by 2 to get your final answer of 4

6. Add 2 to both sides to cancel out the negative 2 and you'll be left with 1/3n=9, next you wanna multiply both sides by 3 to cancel out the 1/3 and you'll get your final answer of 27

Answer:

x=-8

Step-by-step explanation:

pls give me brainliest

Answer:

-2x+ 8 = 10.

Simplified answer: 8.

I tried my best.

Step-by-step explanation: