Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)

Answer:

[tex]\large\boxed{\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{7}{12}}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{4}+\dfrac{1}{3}\qquad\text{find}\ LCD=(4)(3)=12\\\\=\dfrac{1\cdot3}{4\cdot3}+\dfrac{1\cdot4}{3\cdot4}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}=\dfrac{7}{12}[/tex]

Answer:

7/12

Step-by-step explanation:

Answer:

z=4

Step-by-step explanation:

1/4z-2/7=5/7

1/4z= 5/7+2/7

1/4z=1

z=4

Answer: $24.12

Step-by-step explanation:

1.8 * 13.4 = 24.12

Answer:

about 6.3✔

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5+8 =3

-3-7=4

Answer 3.4

The number that has 3 hundreds, 4 more tens than hundreds, and 1 more one than hundreds is 374.

The student is asking us to construct a number based on place value criteria. To assemble this number, we will assign the digits to their appropriate places based on the given conditions. Three hundreds means the hundreds place must be 3, so we have '3' in the hundreds place. Since there are 4 more tens than hundreds, we add 4 to 3, giving us 7, which becomes the digit in the tens place. Lastly, there is 1 more one than hundreds, meaning we need to add 1 to 3 to get 4 for the ones place. Therefore, our number is 374, as it meets all the conditions: 3 hundreds, 7 tens (which is 4 more than the hundreds), and 4 ones (which is 1 more than the hundreds).

Answer:

f(j)=6j+5

f(1/3)=6*(1/3)+5

=2+5

=7

Answer:

137.5° and 42.5°

Step-by-step explanation:

supplementary angles are two angles whose sum is equal to 180°.

Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3(x)+10°.

we know that the sum of first and second angles is 180° (supplementary angles)

so, (3(x)+10°)+(x) = 180°

                   4(x) = 170°

                       x = 170°/4 = 42.5°

so, first angle is 3(42.5°)+10° = 137.5°, second angle is x that is 42.5°

therefore, the angles are 137.5° and 42.5°.

Answer:

THE OTHER ONE IS WRONG!!!

Expert verified FOX DUNG!

Step-by-step explanation:

Answer:

The amount of money which she earn as commission after selling the house is $ 10,740 .

Step-by-step explanation:

Given as :

The selling price of the Mrs. Miller house = $ 179, 000

The percentage of commission which she earn = 6 % of the selling price

Let the amount of money she earn = $ x

Now, According to question

The amount of money she earn = 6 % of the selling price of house

I.e the amount of money she earn = [tex]\frac{6}{100}[/tex]×$ 179,000

Or, the amount of money she earn = 6 × 1790

∴ The amount of money which she earn as commission = $ 10,740

Hence The amount of money which she earn as commission after selling the house is $ 10,740 . Answer

Mrs. Miller earns a commission of $10,740 on selling a house for $179,000.

To solve this problem, we need to calculate 6% of $179,000. The commission amount can be found by multiplying $179,000 by 6% (or 0.06). So, the commission earned by Mrs. Miller would be $179,000 * 0.06 = $10,740. Therefore, Mrs. Miller earns $10,740 as her commission.

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Answer:

87

The drawing will help

Answer:

87

Step-by-step explanation:

Pudge picked 537 pounds of cucumber.

Step-by-step explanation:

Ratio of picking cucumbers,

Pudge to Ace = 3:4

Cucumbers picked by Ace = 716 pounds

Let,

x be the cucumbers picked by pudge.

New ratio of pudge to ace = x:716

Using proportion;

Ratio of pudge to ace :: New ratio of pudge to ace

[tex]3:4::x:716[/tex]

Product of mean = Product of extreme

[tex]4*x=3*716\\4x=2148[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{2148}{4}\\x=537[/tex]

Pudge picked 537 pounds of cucumber.

Keywords: Ratio, proportion

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Answer:

  6x -3x^4

Step-by-step explanation:

Eliminate parentheses. Since the multiplying coefficient is +1, the parentheses can simply be dropped:

  = 3x +2x^4 +3x -5x^4

Add like terms (ones with the same exponent on the variable).

  = 3x +3x +2x^4 -5x^4 . . . . . . . group like terms together

  = (3+3)x +(2-5)x^4

  = 6x -3x^4

Answer:

7,920,000

Step-by-step explanation:

The question is asking the number of times that 4 inches fits in 500 miles. We need to divide 500 miles by 4 inches, but first we need to convert 500 miles into inches.

12 inches = 1 foot

5280 ft = 1 mile

500 miles * (5280 ft)/(1 mile) * (12 in.)/(1 ft) = 31,680,000 inches

Now that we know that 500 miles is the same as 31,680,000 inches, we divide that number of inches by 4 inches.

(31,680,000 inches)/(4 inches) = 7,920,000

Answer: 7,920,000

Answer:

1) Photographer B (4%)

2) Photographer D (27%)

3) Photographer C (29%)

4) Photographer A (40%)

Step-by-step explanation:

The correct question is

Four photographers are taking pictures at a school dance. Photographer A takes 2/5 of the pictures, Photographer B takes 4% , Photographer C takes 0.29 , and Photographer D takes 27/100 . Which choice lists the photographers in order from least to greatest by the amount of pictures they take?

we know that

1) Photographer A takes 2/5 of the pictures

That means

the amount of pictures take by photographer A in percent form is equal to multiply the fraction by 100

[tex]2/5(100)=40\%[/tex] ---> percentage form

2) Photographer B takes 4%

3) Photographer C takes 0.29

That means

the amount of pictures take by photographer C in percent form is equal to multiply the decimal number by 100

[tex]0.29(100)=29\%[/tex] ---> percentage form

4) Photographer D takes 27/100

That means

the amount of pictures take by photographer D in percent form is equal to multiply the fraction by 100

[tex](27/100)(100)=27\%[/tex] ---> percentage form

Lists the photographers in order from least to greatest by the amount of pictures they take

1) Photographer B (4%)

2) Photographer D (27%)

3) Photographer C (29%)

4) Photographer A (40%)

Answer:

Number of necklaces sold

Step-by-step explanation:

Every necklace sold becomes added up to make up y, and then you multiply that by $10(the money for necklaces).

Answer:

n>=4

Step-by-step explanation:

Since the inequality shows that n can equal or be greater than 4, that must mean that 4=n and 4>n, so 4>=n.

This is an expression so I can not solve it. But I can factor it if that is what you mean. Factor 5 out from both terms.

5-15n = 5(1-3n)

This is the factored form.

The expression that can be used to find 20% of 950 is 20/100 × 950

20% of 950

= 20/100 × 950

= 0.2 × 950

= 190

Therefore, the 20% of 950 is given by 190

Learn more about percentage:

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To find 20% of 950, you use the formula (Percentage / 100) × Whole. By applying the formula, 20% of 950 is calculated to be 190.

To find 20% of 950, you can use the formula for finding a percentage of a number:

Part = (Percentage / 100) × Whole

In this case, the percentage is 20 and the whole is 950. Now apply the formula:

Part = (20 / 100) × 950

Part = 0.2 × 950

Part = 190

Therefore, 20% of 950 is 190.

Answer:

1.748*10^16

Step-by-step explanation:

(3.8*10^7)(4.6*10^8)=1.748*10^16

Answer:

x=4, y=5. (4, 5).

Step-by-step explanation:

5x+2y=30

3x-2y=2

------------------

8x=32

x=32/8

x=4

5(4)+2y=30

20+2y=30

2y=30-20

2y=10

y=10/2

y=5

Answer:

1

Step-by-step explanation:

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 65 are: 1, 5, 13, 65

Then the greatest common factor is 1.

To find the GCF using prime factorization for 42 and 65, determine their prime factors and find the common factors. The GCF of 42 and 65 is 1.

To find the GCF (Greatest Common Factor) of 42 and 65 using prime factorization, we need to find the prime factors of each number and determine their common factors.

Step 1: Prime factorize 42:
42 = 2 x 3 x 7.

Step 2: Prime factorize 65:
65 = 5 x 13.

Step 3: Find the common factors:
The only common prime factor between 42 and 65 is 1.

Therefore, the GCF of 42 and 65 is 1.

Answer:

OPTION C: (1,7)

Step-by-step explanation:

The two equations are:

[tex]$ x - y = -6  \hspace{25mm} ....(1) $[/tex]

[tex]$ 5x + 3y = 24 \hspace{25mm} ...(2) $[/tex]

To solve these two equations, multiply (1)  by 5 and subtract (1) and (2).

Therefore, we get the value of y.

[tex]$ y = \frac{54}{8} $[/tex]

This is approximately equal to 7.

Substituting y = 7 in (1), we get x - 7 = -6

⇒ x = -6 + 7

∴ x = 1

So, we say the approximate solution to the equations is: (1,7).

In other words, the two lines meet approximately at (1,7).

Answer:

(1,7)

Step-by-step explanation:

I took the k12 test And got it right.

Answer:

4 × 12=48

Step-by-step explanation:

A=Bh

48=4×12

48=48

Final answer:

To find the base and height of a parallelogram with an area of 48 square miles, apply the formula Area = Base x Height and then solve for the base and height values using the given area. In this case, the base and height would be 6 miles and 8 miles, respectively.

Explanation:

To find the base and height of a parallelogram, you can use the formula: Area = Base x Height. Given that the area is 48 square miles, and the parallelogram formula, you can find the base and height by solving the equation.

Given: Area = 48 square miles

Formula: Area = Base x Height

Plug in the Area value: 48 = Base x Height

Find the factors that multiply to 48 (e.g., 6 x 8)

The base and height would be 6 miles and 8 miles, respectively.

Answer:

Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.

Step-by-step explanation:

1. Let's check all the information provided to answer the question:

Time of Thomas flight delay = 1 5/6 hours

Time of normal flight = x hours

2. How long did the trip finally take?

For calculating how long the trip finally took, we need to do the following sum:

Time of normal flight + Time of delay

Like we don't know the time of the normal flight, we will define it as x, then:

x + 1 5/6 hours

x + 1 hour and 50 minutes ⇒ 5/6 of an hour = 5/6 * 60 minutes = 50 minutes

Finally, the trip of Thomas will take an hour and fifty minutes more than the normal time it usually takes.

Answer:

l = 48(1/4) = 12 cm

w = 20(1/4) = 5 cm

Length: 48 cm

Width: 20 cm

The length of the smaller rectangle is 12 cm, which is one-quarter of the length of the original figure. Therefore, the length of the original figure is 12 cm * 4 = 48 cm.

The width of the smaller rectangle is 5 cm, which is one-quarter of the width of the original figure. Therefore, the width of the original figure is 5 cm * 4 = 20 cm.

Answer:

C = 20 + 25h ..... Required identity

(C - 20) = 25(h - 0) ..... Point-slope form

C = 25h + 20 ..... Slope-intercept form.

25h - C = - 20 .... Standard form.

Step-by-step explanation:

A landscaper charges customers a one time fee and an hourly rate of $25.

If for 3 hours of work, it charges $95.

Then, C = C' + 25h ......... (1)  

Where C is the total charge, C' is the fixed charge and h is the number of hours he works.  

Therefore, putting C = $95 and h = 3, we get from equation (1),

95 = C' + 75  

⇒ C' = 20

Therefore, the equation (1) becomes C = 20 + 25h

Hence, this is the identity in the scenario. (Answer)

Now, the point-slope form of the equation is (C - 20) = 25(h - 0)

where slope is 25 and the point is (0,20).

Now, C = 25h + 20

is the slope-intercept form having slope 25 and y-intercept 20.

Now, the standard form of the equation is 25h - C = - 20 (Answer)  

Final answer:

To find the length of KD in ΔAKM, where KD is perpendicular to AM, and given AK = 6, KM = 10, and m∠AKM = 93º, we use trigonometry. Using the sine function, we determine that KD ≈ 9.99.

Explanation:

The question is about finding the length of KD, where KD is perpendicular from K to AM in triangle AKM, given AK = 6, KM = 10, and the measure of angle AKM is 93º. To solve this, we can use trigonometry, specifically the functions related to a right-angled triangle.

Since KD is perpendicular to AM, ΔAKD is a right-angled triangle at D. We can use the sine function, which is defined as the ratio of the length of the opposite side to the hypotenuse. In this case, α = m∠AKM, opposite = KD, and hypotenuse = KM.

Therefore, sine(α) = opposite/hypotenuse = KD/KM. Since we know that sine(93º) ≈ 0.999, KM = 10, we can find KD by rearranging the equation: KD = KM × sine(93º). Substituting the values gives KD = 10 × 0.999 ≈ 9.99.

The value of "y" is 3

Given that,

[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]

We have to solve for "y"

Let us simplify the given expression and solve for"y"

[tex]y+\frac{4}{12}-y-\frac{1}{12}=\frac{y}{2}[/tex]

On cross multiplication in L.H.S we get,

[tex]\frac{12 y+4-12 y-1}{12}=\frac{y}{2}[/tex]

Cancelling denominator 12 from both sides, we get

12y + 4 -12y - 1 = y

Again cancelling +12y and -12y we get

4 - 1 = y

y = 3

Thus the value of "y" is 3

Answer:

800

Step-by-step explanation:

Answer:

x = 800

Step-by-step explanation:

This is a ratio problem.

4 / 7 = x / 1400

Cross multiply to get 7x = 5600.

Now divide both sides by 7 in order to isolate x.

x equals 800

Hope this helps you :)

Answer:

Solution is 1 (one).

Step-by-step explanation:

Answer:

280

Step-by-step explanation:

you multiply 10 to 33 and that is p

Answer:

p=308

Step-by-step explanation:

33/p=3/28

cross product

p*3=33*28

3p=924

p=924/3

p=308