Gordon types 3,572 words in 47 minutes. Find the unit rate.

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

Answer:

Yes

Step-by-step explanation:

Given that :

CHAIN A:

Sample size n1 = 30

Sample standard deviation of waiting time s1 = 21.2

CHAIN B:

Sample size, n2 = 28

Sample standard deviation of waiting time s2 = 31.4

Null hypothesis H0: s1 = s2

Alternative hypothesis H1: s1 < s2

Test statistic ; Ftest : s1² / s2²

Ftest = 21.2^2 / 31.4^2

= 0.4558399

P value from F statistic : = 0.02 (using p value calculator)

Since the pval < 0.05

Then we reject the Null ; Chain A waiting time is more consistent

Answer:

The correct answer is y=4x

Step-by-step explanation:

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

Answer:

62.48 ft.

Step-by-step explanation:

Initial height: 50 ft.

First rebound: 10 ft.

Second rebound: 2 ft.

Third rebound: 0.4 ft.

Fourth rebound: 0.08 ft.

If we approximate the fourth rebound to zero, we'll have:

50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.

Answer:

Subtract 2 from both sides.

Step-by-step explanation:

Remember to do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

> Also, note the equal sign, what you do to one side, you do to the other side of the equation.

First step is to subtract 2 from both sides of the equation:

3x + 2 (-2) = 29 (-2)

3x = 29 - 2

3x = 27

The second step is to divide 3 from both sides of the equation:

(3x)/3 = (27)/3

x = 27/3

x = 9

~

Answer:

The first step is subtracting the two on both sides.

Step-by-step explanation:

You arent exactly following PEMDAS in this equation, but you are still in a way. Before going on to x you need to go on to the numbers first. 3x would be equal to 27.

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

Answer:

Step-by-step explanation:

1 foot = 12 inches

47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet

24 boards × ((47.5/12) feet)/board = 95 feet

:::::

(8 feet)/board × (12 inches)/foot = (96 inches)/board

96/47.5 = 2 remainder 1

An 8-foot board provides two 47.5" boards, with an inch wasted.

He needs to buy 12 of the 8-foot boards.

Answer:

.33 cents

Step-by-step explanation:

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

You can replace % with /100 to make it a fraction.

  12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8

__

Or, you can reduce the decimal fraction.

  12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity

Answer: I'm confused. What are you asking here?

Step-by-step explanation:

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Answer:

A lot

Step-by-step explanation:

Why am I baking cakes. I SUCK.

There are 12 ounces of sugar will he need in his smaller cake.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The normal recipe calls for 8 ounces of butter and 16 ounces of sugar.

Let the amount of sugar will he need in his smaller cake = x

So, By definition of proportion, we get;

⇒ Amount of Butter / Amount of Sugar

⇒ 8 / 16 = 6 / x

⇒ x = 6 × 16 / 8

⇒ x = 12 ounces

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Answer:

100 = 2x + 4y

Step-by-step explanation:

Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

0.83Answer:

Step-by-step explanation:

83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83

Answer:

.83

Step-by-step explanation:

to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:

.83

hope this helps!!

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688