Write the ratio 16 feet to 6 yards in the simplest form?

Christina paid $2 for 5/8 of a gallon of gas.How much does it cost per gallon

vladimir1956 [14]

Answer:

$3.20

Step-by-step explanation:

I divided the $2 by 8 to see how much 1/8 a gallon cost.

I got 0.40

Multiple this by 8 to get 8/8 or 1 gallon.

You get 3.2

so $3.20

Hope this helped. :)

5 0

3 years ago

The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.

zloy xaker [14]

Answer: 2x² + x - 2 (the first option)

Explanation:

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
 ---------------------
-8x⁴ + 2x³ - 2x² 2x²
----------------------------------
 4x³ - 9x² + 3x - 2

3) Second term of the quotient:

 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
 ---------------------
-8x⁴ + 2x³ - 2x² 2x² + x
----------------------------------
 4x³ - 9x² + 3x - 2
 -4x³ + x² - x
 ----------------------------
 - 8x² + 2x - 2

4) third term of the quotient:

 8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
 ---------------------
-8x⁴ + 2x³ - 2x² 2x² + x - 2
----------------------------------
 4x³ - 9x² + 3x - 2
 -4x³ + x² - x
 ----------------------------
 - 8x² + 2x - 2
 8x² - 2x + 2
 -------------------------
 0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is 2x² + x - 2

You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.

5 0

3 years ago

Read 2 more answers

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute

zvonat [6]

Step 1

Find the equation in function notation

Let

h-------> the number of hours

y-------> the function for the walker fee in dollars

we know that

the hourly rate is $30\frac{\$}{hour}$

$y=6+30h$

in this linear equation

the independent variable is the variable h

the dependent variable is the variable y

Convert to function notation

Let

$f(h)=y$

$f(h)=6+30h$

Step 2

Find how much does the dog walker charge for a 45 minute walk

Convert the time in hours

$1\ hour=60\ minutes$

$45\ minutes=45/60=0.75\ hours$

substitute in the equation

For $h=0.75\ hours$

$f(0.75)=6+30*(0.75)=\$28.5$

therefore

the answer is

the dog walker charge for a 45 minute walk $\$28.5$

Statements

Step 3

The dependent variable is the number of hours true or false

The statement is false,

because the independent variable is the number of hours and the dependent variable is the walker fee in dollars

Step 4

The function for the walker fee is f(h)= 30h+6 true or false

The statement is True --------> see the Step 1

Step 5

The dog walker charges $22.5 for a 45 min walk true or false

The statement is False

Because the dog walker charges for a 45 minute walk $\$28.5$

5 0

3 years ago

Gia is running for school president. Her best friend designed a rectangular button that measures 2.5 inches by 2 inches. Gina li

vaieri [72.5K]

Answer:

B. 1 inch to 2 feet

Step-by-step explanation:

from 2.5 inches by 2 inches to 5 feet by 4 feet

hence.

the scale factor is "2 inches to 4 feet" which is 1 inch to 2 feet

8 0

3 years ago

The 10 participants in an experiment had the following reaction times ( in milliseconds ) : 778,783,784,786,790,804,807,810,819,

Nata [24]

Answer:

Mean. It includes all data points.

Step-by-step explanation:

-We first need to calculate the mean, median and mode then compare our values:

#Mean:

$\bar x=\frac{1}{n}\sum{x_i}\\\\=\frac{1}{10}\sum{778+783+784+786+790+804+807+810+819+823}\\\\=\frac{1}{10}\times \\\\=798.40$

#The median is the middlemost data point in a lsit data:

778,783,784,786,790,804,807,810,819,823

-Since our data points is an even number, the median number is calculated as:

$median=\frac{1}2}\sum{5^{th}+6^{th}}\\\\=0.5[790+804]\\\\=797.00$

#Mode is the data point with the highest frequency:

-Since there's no number appearing more than once, our set has no mode.

#Since our data set has no outliers and is not a skewed distribution, the mean will be the best measure as it includes all data points

8 0

3 years ago