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4 years ago

Susie has three hours to

Mathematics

1 answer:

makvit [3.9K]4 years ago

4 0

Answer:

Susie has 36 minutes to make each cake.

Step-by-step explanation:

There are 60 minutes in an hour. Three hours had 180 minutes.

Divide 180 minutes by 5 cakes.

180/ 5 = 36.

Therefore we have 36 minutes per cake.

Good luck!

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PLEASE HELP URGENT!!!!!

evablogger [386]

Answer: Choice B

65/1; Your car travels 65 miles in one hour (aka 65 miles per hour)

===========================================

t = time in hours

D = distance in miles

r = rate or speed in miles per hour

the formula is D = r*t which can be solved for r to get r = D/t. You divide both sides by t to get this new formula.

Based on that formula, we'll divide each distance (second column) over its corresponding time (first column). We divide the values only that are in the same row.

Row1: D/t = 260/4 = 65

Row2: D/t = 390/6 = 65

Row3: D/t = 520/8 = 65

Row4: D/t = 650/10 =65

We get the same result each time

An alternative way to get the answer is to use the slope formula. I'm going to use the values found in the first two rows of the table.

m = (y2-y1)/(x2-x1)

m = (390-260)/(6-4)

m = (130)/(2) <<-- this means we travel 130 miles in 2 hrs

m = 65 <<--- which is equivalent to 65 miles in 1 hr

The slope of the line is 65, which is the rate of change 65/1

slope = rise/run = 65/1

rise = 65, run = 1

rise = 65 means we increase 65 miles and run = 1 indicates that 1 hour has gone by. Visually we move up 65 each time we move to the right 1.

5 0

3 years ago

a town has a population of 16000 and grows at 2% every year. to the nearest tenth of a year, how long will it be until the popu

miss Akunina [59]

20100 = 16000 * (1.02)^ t

20100/16000 = 1.02^t

1.25625 = 1.02^t

log 1.25625 = t * log 1.02

t = log 1.25625 / log 1.02
= 11.5

8 0

3 years ago

Read 2 more answers

3(3+4) Please answer using PEMDAS And please answer correctly

DedPeter [7]

Answer:

Step-by-step explanation:

3 (7) = 21

4 0

3 years ago

Read 2 more answers

Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s

Natasha2012 [34]

Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30

5 0

3 years ago

Read 2 more answers

My question is on the image it would mean the world to me if you could help

stiks02 [169]

Answer:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

Function f(x)

Given the function f(x)

x f(x)

-3 -0.5

-2 0

-1 0.5

0 1

Finding the slope between any two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)$

$m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}$

$m=0.5$

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

Function g(x)

Taking two points from the given graph of g(x)

(1, 0)

(0, 2)

Finding the slope between (1, 0) and (0, 2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)$

$m=\frac{2-0}{0-1}$

Refine

$m=-2$

Thus,

The slope of g(x) = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

5 0

3 years ago