If a roof is 30ft 4 in wide & 52 ft 9 in long with 3 inches of water trapped on the roof. how many gallons are trapped on the roof?

Answer:

$336

Step-by-step explanation:

20% can be split into 2 10%

so to find 10% of a number U move the decimal point 1 place left

so 10% of 250 = 25, therefore 20% must equal

25 + 25 = 50. 20% of 250 is 50

and by doing the same this we find that 20% of 170 is 34

now minus the percentage from the original tO get the new price of both items

[tex]250 - 50 = 200[/tex]

[tex]170 - 34 = 136[/tex]

now add both 136 and 200 together to get the price she will pay for both on sale

[tex]200 + 136 = 336[/tex]

Answer:

9/25

Step-by-step explanation:

Answer:

The volume of 1 bucket is 2.4 liters.

Step-by-step explanation:

We know that the volume of 12 buckets is the same as the volume of 9 bottles:

[tex] 12B = 9b [/tex]  

[tex] B = \frac{9}{12}b = \frac{3}{4}b [/tex]   (1)

Where B is for buckets and b is for bottles.

Also, that the total volume of 3 bottles and 5 buckets is 21.6 liters:

[tex] 5B + 3b = 21.6 [/tex]   (2)

We can calculate the volume of 1 bucket by entering equation (1) into (2):

[tex] 5(\frac{3}{4}b) + 3b = 21.6 [/tex]

By solving for "b" we have:

[tex] b = \frac{21.6*4}{27} = 3.2 [/tex]

Now, the volume of 1 bucket is:

[tex] B = \frac{3}{4}b = \frac{3*3.2}{4} = 2.4 [/tex]

Therefore, the volume of 1 bucket is 2.4 liters.

I hope it helps you!

Answer:

$337.50

Step-by-step explanation:

Given that

The amount is $11,250

And, the sales terms are 5/10, 3/15, n/30

5/10 means if the payment is done within 10 days so 5% discount is given

3/15 means if the payment is done within 15 days so 3% discount is given

And, n/30 means the credit days for payment allowed is 30

Now the cash discount if the invoice is paid on June 20 is

= $11,250 × 3%

= $337.50

Answer:

y= 3/5x+5

Step-by-step explanation:

The y intercept is 5 and the graph is going upwards so it is a postive slope. If you look at at the graph from the y intercept point to point B you can see it goes up by 3 and right by 5 so the slope is 3/5. This makes the equation y=3/5x+5

Answer:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

Step-by-step explanation:

Answer:

X = 5/2

Step-by-step explanation:

I will assume that you meant  (1/5)X + 1/2 = 1.  The LCD is 10.

Multiplying both sides by 10, we get:

2X + 5 = 10, or 2X = 5, or X = 5/2

Answer:

585[tex]cm^{3}[/tex]

Step-by-step explanation:

45 x 13 = 585

Let me explain...

we don't know the length and the width but it is telling us that there is an area of 45 centimeters. Meaning the Length x Width is equal to the area. so there wasn't no need to solve for length and width.

So that's why we only had to multiply the 45  (Length x width) and the height which is 13.

Final Answer: 585[tex]cm^{3}[/tex]

Step-by-step explanation:

tan B = AC/BC

tan 35°= AC / 160

0.700 = AC /160

=> AC = 160 × 0.700

AC = 112.00

so, the distance from A to C is 112.00 feet

From the triangle given in the figure,

Since, adjacent side BC of the right triangle ACB is given and we have to find the opposite side AC of angle ABC,

Trigonometric ratio to be used → [tex]\text{tan}\theta = \frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

By substituting these values in the expression,

[tex]\text{tan}(35^{\circ}) = \frac{AC}{160}[/tex]

AC = 160[tan(35)°]

AC = 112.03 feet

               Therefore, distance between A and C is 112.03 feet.

Learn more,

https://brainly.com/question/10675333

Answer:

x = 12 , x = 7

Step-by-step explanation:

x-2 = 10

x= 10+2 = 12

x+6 = 13

x=13-6

x=7

Answer:

x = 9.5

If they were separate equations,

x - 2 = 10 ⇒ x = 12

x + 6 = 13 ⇒ x = 7

Step-by-step explanation:

x - 2 + x + 6= 10 + 13

2x + 4 = 23

2x + 4 - 4 = 23 - 4

2x = 19

2x ÷ 2 = 19 ÷ 2

x = 9.5

If they were separate,

x - 2 = 10

x - 2 + 2 = 10 + 2

x = 12

x + 6 = 13

x + 6 - 6 = 13 - 6

x = 7

Answer:

62°

Step-by-step explanation:

Answer:

0.45967741

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

m

=

57

124

Decimal Form:

m

=

0.45967741

…

Answer:

is it a right angle?

if yes then do u gotta find the hypotenuse or the leg?

Answer:

1st option, they have the same y-intercept

Step-by-step explanation:

they do not have the same x-intercept

'A' is linear

'B' has a less steep slope

Answer:

उत्तर:

गोलाको आयतन :4851 cm³

⁴/3 πr³=4851

r³=4851×3×7/(22*4)

r³=1157.625

r=[tex] \sqrt[3]{1157.625} [/tex]

r=10.5

अब

गोलाको व्यास=2×r=10.5*2=21cm.

Answer:

A

Step-by-step explanation:

Because x has the degree one and it’s figure at the numerator

Answer:  [tex]\frac{\pi}{18}[/tex]

Step-by-step explanation:

To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.

Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]

Answer:

6/10

Step-by-step explanation:

i think sorry if incorrect

Answer:

The correct answer is [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

I know everyone says this but I just took the test and I got it right :)

Answer:

7/24

Step-by-step explanation:

tan = opp/adj

opp = 7

adj = 24

hyp =25

Answer:

240

Step-by-step explanation:

Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.

9514 1404 393

Answer:

  87.96 in³

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Using the given numbers, we find the volume to be ...

  V = π(2 in)²(7 in) = 28π in³ ≈ 87.96 in³

Answer:

Median.

Step-by-step explanation:

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.

Answer:

173 bagels were left after the second hour!!

Step-by-step explanation:

Answer:

After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.

Step-by-step explanation:

Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:

(42 + 8) x 5 = X

50 x 5 = X

250 = X

Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.

Answer:

151 students must be selected.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be $25.

This means that [tex]\sigma = 25[/tex]

How many students must be randomly selected to estimate the mean weekly earnings of students at one college? Sample mean within $4 of the population mean

This is n for which M = 4. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]4 = 1.96\frac{25}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 1.96*25[/tex]

[tex]\sqrt{n} = \frac{1.96*25}{4}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*25}{4})^2[/tex]

[tex]n = 150.1[/tex]

Rounding up:

151 students must be selected.

Answer:

i think it's 0.66666666666 or 1.5

Answer:

The quotient is 1.5.

Step-by-step explanation:

Answer:

the product of 18 are 1,2,3,6,9

Step-by-step explanation:

hope this helps