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3 years ago

Solve by converting to the easiest form of the rational numbers to use in the problem. Show your work.

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

Answer:

8 drops will take to fill the test tube.

Step-by-step explanation:

A volume of $\frac{1}{8}$ millimeter test tube is produced by the dropper that Arwen uses.

Now, we are asked to calculate the number of drops it will take to fill the test tube.

Then, $\frac{1}{8}$ of the millimeter test tube is equivalent to 1 drop.

So, 1 of the millimeter test tube will be equivalent to $\frac{1}{\frac{1}{8} } = 8$ drops.

Therefore, 8 drops will take to fill the test tube. (Answer)

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Problem: Gerri made a function machine. Find the rule for Gerri's function machine.

shusha [124]

There are an infinite number of possibilities, and not enough information
to decide which possibility is really the one inside the function machine.

Here are a few. Each of these gives the result that you described,
and there are an infinite number of others:

f(x) = x

f(x) = 2x + 1

f(x) = 10x + 9

f(x) = x² - 2

f(x) = 7x² - 8

f(x) = 31x³ + 30

f(x) = log( |x| ) - 1

f(x) = ln( |x| ) - 1

f(x) = x tan(45°)
.
.
etc.

5 0

3 years ago

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave

USPshnik [31]

Answer:

Julio travel 3 hours by biking and 4 hours by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be $x.$

And the time Julio travel by walking be $y.$

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

$x+y=7$

$y=7-x\ \ \ .......(1)$

So, the distance travelled by bike:

Speed × time

$8\times x=8x$

And, the distance travelled by walking:

Speed × time

$7\times y=7y$

Now, the total distance travelled by Julio:

$8x+7y=52$

Substituting the value of $x$ from equation (1) we get:

$8x+7(7-x)=52$

$8x+49-7x=52\\\\x+49=52$

Subtracting both sides by 49 we get:

$x=3.$

The time Julio travelled with bike = 3 hours.

Now, to get the time Julio travelled by walking by substituting the value of $x$ :

$y=7-x\\\\y=7-3\\\\y=4\ hours.$

The time Julio travelled by walking = 4 hours.

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

7 0

3 years ago

Please help, if you’re correct I’ll mark you as brainiest!!!

Xelga [282]

Answer:

Step-by-step explanation:

950 is 95% of 1000

so he lost 5 percent, which can be represented as -5.0%

5 0

3 years ago

Read 2 more answers

Find the median and mode of the following data:

jekas [21]

A is 4 and b is 63 have a good day

4 0

2 years ago

Read 2 more answers

Graph B

lara [203]

Answer/Step-by-step explanation:

Slope (m) = rise/run

y-intercept (b) = starting value or the point on the y-axis where the line cuts across

✔️Slope (m) of skater 1:

Rise = 45

Run = 7.5

Slope (m) = 45/7.5 = 6

✔️ y-intercept (b) of Skater 1:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 1 linear function in slope-intercept form, y = mx + b

Substitute m = 6 and b = 0 into y = mx + b

Linear function: y = 6x + 0

y = 6x

✔️Slope (m) of skater 2:

Rise = 30

Run = 15

Slope (m) = 30/15 = 2

✔️ y-intercept (b) of Skater 2:

b = 0 (the y-axis is intercepted at 0)

✔️Skater 2 linear function in slope-intercept form, y = mx + b

Substitute m = 2 and b = 0 into y = mx + b

Linear function: y = 2x + 0

y = 2x

7 0

3 years ago