Harold filled his swimming pool over the weekend. The pool has a capacity of 540 gallons. Harold put in 180 gallons of water on Saturday. The garden hose that Harold used supplies 9 gallons of water per minute. How long did it take for Harold to fill the pool to capacity on​ Sunday? Define a variable for the unknown quantity. Write and solve an equation to answer the question.

Let m= the number of _________
a.) gallons in the pool on Sunday
b.) Minutes to fill the pool on Saturday
c.) gallons the garden hose puts in the pool on Sunday
d.) minutes to fill the pool on Sunday

An equation to represent the situation is __________=540.
a.) m+89
b.) 189m
c.) 9m+180
d.) 180m+9

So, m= _________. It took Harold ____________ minutes to fill the pool to capacity on Sunday.

The number of fluid ounces of lemonade made by James and Eric is a

multiple of the number pitchers mixed.

The number of pitchers James and Eric mix = 6 pitchers each

Number of fluid ounces of lemonade James makes per pitcher = 26 fluid Ounces

Volume of lemonade Eric makes per pitcher = 32 fluid ounces

Volume of lemonade James makes = 26 fluid Ounce × 6 = 156 fluid Ounces

Volume of lemonade Eric makes = 32 fluid ounces × 6 = 192 fluid Ounces

Total volume of lemonade made by James and Eric = (156 + 192) fluid Ounces = 344 fluid ounces

Volume of lemonade per glass = 8 Ounces

Number of glasses filled = 344 fluid Ounces ÷ 8 Ounces/glass = 43 glasses

Therefore, given that the number of glasses of 8 ounces of lemonade that can be filled using the 344 fluid ounces is exactly 43 glasses, we have;

Learn more about division in arithmetic here:

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Answer:

Step-by-step explanation:

G is the incenter of ΔABC,

Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.

10). m∠ABG = m∠CBG = 25°

11). m∠BCG = m∠ACG = 18°

  Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°

12). m∠ABC + m∠BAC + m∠ACB = 180°

  2(25)° + m∠BAC + 36° = 180°

    m∠BAC = 180° - 86° = 94°

13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°

14). Since, incenter is equidistant from all sides of the triangle,

     Therefore, DG = GF = FE = 4 units

15). In right triangle BEG,

     tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]

     BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]

           = [tex]\frac{4}{\text{tan}25}[/tex]

     BE = 8.6

16). In right triangle BEG,

     cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]

     BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4

17). In right triangle GEC,

    sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]

    GC =  [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9

Answer:

Yep

Step-by-step explanation:

Answer:

Step-by-step explanation:

710 + 640 = 1350m

Answer:

376000 pounds

Step-by-step explanation:

What's required of this question is to convert the given weight of plane from tons to pounds

Given

[tex]Weight = 188\ tons[/tex]

Required

Get pounds equivalent

From standard unit of measurements

[tex]1\ ton = 2000\ pounds[/tex]

Multiply both sides by 188

[tex]188 * 1\ ton = 188 * 2000\ pounds[/tex]

[tex]188\ tons = 376000\ pounds[/tex]

Hence, the weight of the plane in pounds is 376000

Answer:

D. x = 3

Step-by-step explanation:

We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.

Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.

Answer:

The slope is 1

Step-by-step explanation:

[tex]\frac{3-0}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Answer:

what

Step-by-step explanation:

what

Answer:

42

Step-by-step explanation:

Answer:

A. F

B. D

C. C

D. E

E. G

F. G

G. D

Step-by-step explanation:

Answer: A. 9/4

              C. -1.75

              D. 1.75

              E -2      

              F-1

              -2 1/2  

Step-by-step explanation:

Answer:

g(f(x)) = x² + 6x + 9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² + 6x + 7

g(x) = x + 2

g(f(x)) is x = f(x)

Step 2: Find g(f(x))

Answer:

25

Step-by-step explanation:

45 times 5 = 225

225 divided by 9 = 25

Answer:

25

Step-by-step explanation:

5:9 and x:45

45*5/9 which is 25

Hope this helps!

Answer: 1.6 in per hour

Answer:

hourly rate.

Step-by-step explanation:

As others have noted, it is a simple mathematical division problem (4/2.5) and the average is 1.6 inches per hour.

However, if this is for sizing civil works such as culverts or plumbing storm water drainage systems to mitigate flooding, the highest rate per hour must be known and usually the highest ten minutes rainfall rate expressed as an hourly rate.

For example, if 4.0 inches fell over that 2.5 hours, nothing says that a rain band did not dump 3 inches in the first hour, (3 inches per hour cumulative) or 0.75 inches in a ten minute period (4.5 inches per hour rate), with the remainder of the storm tapering off to lesser rates. So the average is correct, but the peak hour is much more important for practical purposes.

Answer:

Hey mate!

Here is your answer > >

C.P of an article=Rs.400

S.P.of an article=Rs.336

C.P.> S.P., there is a loss

Loss=C.P.-S.P.

=> Loss=400-336

=Rs.64

Loss%=Loss/C.P.×100

=64/400×100

=16%

Hope it helps!

Thankyou ☆ ☆

Answer: itll be 64

Step-by-step explanation:

dhuiudiSBUVFPVFV WHO CARES WHAT I PUT INHERE

Answer:

x = 100

Step-by-step explanation:

[tex]Log_{10} x =2 \\ \\ x = {10}^{2} \\ \\ x = 100[/tex]

Answer:

43.2

Step-by-step explanation:

4.32 x 10 = 43.2

Answer:

easy

4.320

Step-by-step explanation:

Answer:

constants

Step-by-step explanation:

That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.

The term or number with no variable attached is called a constant as in the polynomial or expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

A number consists of the expression with no variable.

As we know, the expression is a combination of numbers, variables, and operators.

If we take an example of the polynomial.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

Here a₀ is a constant because the term a₀ has no variables.

Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.

Learn more about the expression here:

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#SPJ6

Answer:

Step-by-step explanation:

After x weeks Bill will save money:

And Ted will save:

Since they save same amount, we have equation:

Answer:

The y-intercept y = 4x - 5 is (0,-5).

Step-by-step explanation:

hope this helps

have a great day

plz consider marking brainliest

Answer:

-6

Step-by-step explanation:

-2-3/1-1

Answer:

2 : 3

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

:)))

Step-by-step explanation:

31/50 - .062 - 62%

17/60 - .17 - 17%

2/5 - 0.4 - 20%

6/5 - 1.2 - 120%

11/25 - .44 - 44%

13/2 - 6.5 - 650%

Answer:

The slope is -3

Step-by-step explanation:

the equation for finding the slope between two different points is:

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

Or in other words the change in y over the change in x.

M= (9+6)/(3-8) = 15/-5 = -3.

(sidenote: I added 9 and 6 for the change in y because you cannot subtract a negative number. Instead you have to add it.)