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2 years ago

Is 14 quarter inches the most common measurement

Mathematics

1 answer:

borishaifa [10]2 years ago

7 0

^ if you're talking universally, no it would be cm. But no one really says "quarter inches". You would just say inches

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Carlos shovels snow from driveways in his neighborhood. he charges $10 for each regular driveway and he charges an extra $7.50 f

stiks02 [169]

Let, the number of regular driveways be x.

Given there are 3 fewer large driveways than regular driveways.

So, the number of large driveways = $(x-3)$

Given, Carlas charges $10 for each regular driveway.

So for x regular driveway the amount will be = $ $(10)(x)$ = $ $(10x)$

And he charges extra $7.50 for each large driveway.

So for each large driveway Carlos charges = $ $(10+7.50)$ = $17.50.

For (x-3) large driveways Carlos will charge = $ $(17.50)(x-3)$ = $ $(17.50x - 52.50)$

Given, the total amount he makes = $140

So we can write the equation as,

$10x + 17.50x - 52.50 = 140$

$27.50x + 52.50 = 140$

We will move 52.50 to the right side by adding it to both sides. We will get,

$27.50x - 52.50 + 52.50 = 140 + 52.50$

$27.50x = 192.50$

Now to get x, we will move 27.50 to the right side by dividing it to both sides. We will get,

$\frac{(27.50x)}{27.50} =\frac{192.50}{27.50}$

$x =\frac{192.50}{52.50}$

$x = 7$

So we have got the required answer.

The number of regular driveways Carlos shovel = 7.

8 0

2 years ago

What is the true solution to the equation below?

jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$

$e^{ln(a)}=a$

$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$

If ㏑(a) = ㏑(b), then a = b

∴ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

Use the 2nd rule to simplify it

$e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\$

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

$ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)$

Use the 4th rule

$\frac{2}{5} x = 30$

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0

2 years ago

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as t

dem82 [27]

Answer:

Inverse of a function

Step-by-step explanation:

If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.

For example, given the following function:

y = 2x

If x=0 → y= 0

If x=1 → y= 2

If x=2 → y= 4

Now, if we find the inverse of the function:

y = 2x → x = 2y → y = x/2

Now:

If x=0 → y= 0

If x=2 → y= 1

If x=4 → y= 2

Comparing both cases, you will notice that the ordered pairs are effectively interchanged.

3 0

2 years ago

Identify the parameter n in the following binomial distribution scenario. A basketball player has a 0.479 probability of

lozanna [386]

Answer:

n = 17

Step-by-step explanation:

Assuming

- probability of success (making free throw) does not vary

We have

n = 17 (trials)

p = 0.479

x > 9

7 0

2 years ago

Cameras R Us has a sale for 25% off camera bags, which is a discount of $20. Explain how you can set up a diagram to find the or

Rasek [7]

Answer:

SAMPLE RESPONSE( The diagram should have five columns, one for each 25% and one for the total, because 25% is 1

of 100%. It should have 2 rows, 1 for percents and 1 for dollar amounts.

Step-by-step explanation:

Edg2020

8 0

2 years ago

Read 2 more answers