The reciprocal of a number is added to three.The result is the quotient of 25 and the number. Find the number

Answers

Answer 1

Answer:

  8

Step-by-step explanation:

Let x represent the number. Then the reciprocal is 1/x. The quotient of 25 and the number is 25/x. The problem statement tells us ...

  3 + 1/x = 25/x

Subtracting 1/x, we have ...

  3 = 24/x

  x = 24/3 = 8 . . . . . . . . multiply by x/3

The number is 8.


Related Questions

How do you simplify it? I know the answer is 6_/6p but I don’t really know *how* to get there.

Answers

Answer:

The answer is

[tex]6 \sqrt{6p} [/tex]

Step-by-step explanation:

[tex] \sqrt{216p} [/tex]

First of all factor out the perfect square

From the question the perfect square is 36

We have

[tex] \sqrt{36 \times 6p} [/tex]

The root of a product is equal to the product of the roots of each factor

That's

[tex] \sqrt{36 \times 6p} = \sqrt{36} \times \sqrt{6p} [/tex]

Simplify

[tex] \sqrt{36} = 6[/tex]

So we have

[tex]6 \times \sqrt{6p} [/tex]

We have the final answer as

[tex]6 \sqrt{6p} [/tex]

Hope this helps you

A salesman packs dog biscuits in boxes containing 16, 17, 23, or 24 pounds each. He will not sell them in any other sizes or split a box. A customer wants exactly 100 pounds ofthe biscuits, no more or no less. Can the salesman fill the order? If not, how close can he come to making up the 100 pounds? He has as many of each size box as he might need.

Answers

Answer:

the closest the sales man can fit in a box is 96lbs without going over. so therefore, no, he cannot fulfill the order.

A saleswoman earns 5% commission on all the merchandise that she sells. Last month she sold $7000 worth of merchandise. How much commission (in dollars) did she earn last month?

Answers

Answer:

5% = 0.05

$7000 × 0.05 = $350

She earned $350

Solve: 5^3 a 125 b 25 c 15 d 5

Answers

Answer:

Step-by-step explanation:

5^3 = 5 x 5 x 5 = 25 x 5 = 125

answer is a

Give me a sentence on why you think that culture is the most powerful influence on health.I need this is due right now if you could please be nice and help me I’ll give you brainliest:)

Answers

Answer:

Considering that back in the day, we were told that you should not drink a lot of water before exercising, I believe we went a very long way and now it is even encouraged, labels on food and drinks help us figure out what we are consuming and what is better for us, however we make that decision and it is offered to us for much cheaper now considering the dollar value worth today.

I am assuming you mean physical health.

Step-by-step explanation:

triangle A’ B’C’ is a dilation of ABC... What is AB?

Answers

Answer:

Option C.

Step-by-step explanation:

From the picture attached,

ΔA'B'C' is a dilation of ΔABC which means image ΔA'B'C' is similar to ΔABC.

By the property of similarity corresponding sides of both the triangles will be proportional.

[tex]\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}[/tex]

[tex]\frac{AB}{6}=\frac{15}{10}[/tex]

AB = [tex]\frac{6\times 15}{10}[/tex]

AB = [tex]\frac{90}{10}[/tex]

AB = 9 units

Therefore, length of side AB = 9 units.

Option C. will be the answer.

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper.

Answers

Answer:

mass of copper in the resulting mixture = 104 grams of pure copper

Percent of the resulting mixture that is copper = 81.25%

Step-by-step explanation:

The complete question is

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper. How many grams of copper are in the resulting mixture? What percent of the resulting mixture is copper?

The original alloy has a mass of 50 grams,

52% of this 50 grams is copper,

mass of copper = 0.52 x 50 = 26 grams

78 grams of pure copper added will bring the mass of copper to..

mass of copper = 26 + 78 = 104 grams of pure copper

After adding 78 grams of copper to the alloy, the resultant mass of the mixture will be = original mass of alloy + mass of the pure copper added

==> 50 + 78 = 128 grams

Percentage of the resulting mixture that is copper = (total mass of copper in the mixture/total mass of mixture x 100%)

==> 104/128 x 100% = 81.25%

What is the value of this expression? (−2)^5

Answers

Answer:

-32

Step-by-step explanation:

=(-2)^5

=-2*-2*-2*-2*-2-2

-2*-2=4

-2*-2=4

-2

4*4=16

16*-2=-32

Hope this helps :) ❤❤❤

Find the width and height of a 54 inch TV with the aspect ratio of 4:3. Then , find the area of the screen. You must draw and label a picture to help show ur work.

Answers

Answer:

The area of the screen is 1399.68 in²

Step-by-step explanation:

The given parameters are;

The size of the TV = 54 inch

The aspect ratio of the TV screen = 4:3

The size of the TV is given as the length, of the diagonal, therefore, we have;

The aspect ratio = Length, L:Width, W = 4/3 = L/W

L² + W² = 54²..................(1)

L/W = 4/3.........................(2)

Therefore, 3×L = 4×W

L = 4×W/3

Substituting the value of L in equation (1), we have;

(4×W/3)² + W² = 54²

16/9×W² + W² = 54²

25/9×W² = 54²

W² = 54²×9/25 = 1049.76

W = 32.4 inches

The length, L = 4×W/3 = 4×32.4/3 = 216/5 inches = 43.2 inches

The area of the screen = 43.2 inches × 32.4 inches = 1399.68 in²

The area of the screen =  1399.68 in².

2. Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1.260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months?

Answers

Answer:

$9,102

Step-by-step explanation:

Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1,260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months

From the question above, we have the following information:

On one fountain that sells for $869 = she gets a commission of $174( the lower-priced fountains)

On the other fountain that sells for $1,260 = she gets $252 ( the higher-priced fountains)

Ingrid sold 19 of the lower-priced fountains)

1 fountain sold = $174 of commission

19 fountains sold =

$174 × 19

= $3,306

She also sold 23 of the higher-priced fountains)

1 higher priced fountains = $252

23 higher priced fountains =

$252 × 23

= $5,796

Hence, the Total commission Ingrid made = Total commission on Lower priced fountains + Total commission on Higher priced fountains

= $3,306 + $5,796

= $9,102

Therefore, the total commission Ingrid made = $9,102

A cube has volume of 7^3 cubic centimeters. What is its surface area

Answers

answer:

294

reason:

the edge length is 7
multiply 7x7 to get the area of each face of the cube, 49
multiply 49 by the number of faces, 6, to get 294

Answer:

294

Step-by-step explanation:

The volume of a cube is calculated by multiplying one

of its equal edge with itself three times which is shown as a^3

If the volume of the given cube is = 7^3 then the edge length is = 7

To find the surface area we we multiply the square of the edge by 6

6 × 7^2 = 294

The table shows the number of cups of water required
when cooking different amounts of rice.
Which statements apply to the ratio of rice and
water? Choose two options.
Amount of Amount of
Rice Water
(cups) (cups)
2.
5
3
7.5
5
12.5
8
20
The amount of rice is the dependent value
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or
independent without a given equation.

Answers

Answer:

The amount of water is the dependent value.The amount of rice is the independent value.

Step-by-step explanation:

The way the statement is worded, and considering that Rice is the first column of the table, we conclude that Rice is the independent quantity. Then water is the dependent quantity: its amount depends on the amount of rice.

Answer:

B. The amount of water is the dependent value.

C. The amount of rice is the independent value.

Step-by-step explanation:

A rental company rents a luxury car at a daily rate of $37.51 plus $.25 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles. How many miles can Paul travel on the $120?

Answers

Answer: 385 miles

Step-by-step explanation:

$120 - $43.01 = $76.99

$76.99 = 7699 cents

7699/20 = 384.95 miles

So, the business man can travel

385 miles on the $120.

Hope this helps.

:-)

AB = 2x + 30, AD = x + 32, CD = 8, and BC = 5. Find x.

Answers

Answer:

Step-by-step explanation:

2x + 30 = x + 32

x + 30 = 32

x = 2

Given the following functions, find each of the values:
f(x) = x2 + x - 30
g(x) =x- 5
(f + g)(-5)
(f - g)(3) =
(f.g)(-3) =
(f/g) (1) =

Answers

Step-by-step explanation:

(F+g) (-5)

={2x+x-30 +(x-5)}(-5)

={4x-35}(-5)

= -20x +175

X=175/20

X=35/4

X=8.75

...........

(f - g)(3)

={x2 + x - 30 - (x- 5)} (3)

= {2x - 25} (3)

=6x-75

X=75/6

X=12.5

..................

(f.g)(-3)

= {(x2 + x - 30). (x- 5)} (-3)

={(3x-30)(x-5)}(-3)

what is 21000 take away two thirds

Answers

The correct answer 20999.3333333

An object is moving at a speed of 3 kilometers every 5 days. Express this speed in yards per hour. Round your answer to the nearest tenth

Answers

Answer: 27.3 yards per hour

Step-by-step explanation:

First convert 3 kilometers to yards    

3 km to yards is  3280.84  

now we have to convert 5 days to hours. If there are 24 hours per day  then we will multiply 24 by 5 to determine hours are in 5 days

5 * 24 = 120  hours  

Now divide divide 3280.84  by 120  to find the speed in yards per hour

3280.84 / 120 = 27.34  yards per hour  

27.34  rounded to the nearest tenth is 27.3

The object is moving at a speed of 2734.025 yards per hour.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

We know 1 kilometer is 109361 yards and one day is equal to 24 hours.

Given, An object is moving at a speed of 3 kilometers every 5 days.

∴ The object is moving at a speed of (3×109361) = 328083 yards in

(5×24) = 120 hours.

Hence in 1 hour, the object moves (328083/120) yards = 2734.025 yards.

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perfect squares from 100 to 200

Answers

Answer:

121, 144, 169, 196 are the perfect squares from 100 to 200

Fill in the blanks below in order to justify whether or not the mapping
shown represents a function.
Set A
Set B
-4
4
ол
The mapping diagram above
va function since
where there
in
Sushmit Answer

Answers

Answer:

The mapping diagram above is a function since there are no two values (integers) in the range (Set B) where there is only one value (integer) in the domain (Set A) mapped unto them

Step-by-step explanation:

By definition a function is an association between the individual elements within two sets such that all element in one set is mapped to precisely one element of the other set

In the given example, all the elements in Set A are mapped to exactly one element of the Set B

That is the function from A to B is the set C (-1, -4), (9, 5), (1, 4), whereby the first component of the ordered pair in the set C are the elements of the set A.

The mapping diagram above is a function since there are no two values in set B where there is only one value in Set A mapped to them.

A function has a very unique attribute of having one output attributed to each input.

The Set A is the domain while set B denotes the range. Hence, each value in the domain would have exactly one value in the range which would be different for each value in the domain.

Therefore, since the mapping diagram illustrates a 1 input to 1 output relationship, then it is a function.

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Arrange the following set of decimal numbers in order from smallest to largest.
0.31, 0.409, 0.414, 0.4186

Answers

Answer:

Step-by-step explanation:

0.31=0.3100

0.409=0.4090

0.414=0.4140

0.4186

arranging smallest to largest

0.3100,0.4090,0.4140,0.4186

or 0.31,0.409,0.414,0.4186

5(4x−3)−(3x+1)=3(5x+9)+2x

Answers

20x - 15 - 3x - 1 = 15x + 27 + 2x

17x - 16 = 17x + 27

17x - 17x = 27 + 16

0 = 43

Since zero is not equal to 43, this equation has no solution.

x2 = 16, therefore x = 4. Is this a valid conclusion? If not, give a counterexample. A) YES B) NO; x = 8 C) NO; x = -4 D) NO; x = -8

Answers

Answer:

C) No; x = -4

Step-by-step explanation:

i took the quiz

Answer:

the answer is C. No; x= -4

Step-by-step explanation:

i took this answer on the USA test prep...

and make 100%. give me some brainlest plz

a temperature recorded in Antarctica was -122 F. The temperature recorded in the desert was 133 F. how many degrees warmer is 133 F than 122 F

Answers

Answer:

255 F

Step-by-step explanation:

133 + 122 = 225.

So that is the answer.

133°F is 255 degrees warmer than -122°F.

To find out how many degrees warmer 133°F is than -122°F, we can subtract the two temperatures:

Temperature difference = 133°F - (-122°F)

Remember that subtracting a negative number is the same as adding its positive value, so the calculation becomes:

Temperature difference = 133°F + 122°F

Temperature difference = 255°F

So, 133°F is 255 degrees warmer than -122°F.

To know more about warmer:

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100) Last Friday Maria had $19.32. Over the
weekend she received some money for
washing the dog. She now has $35.21.
How much money did she receive?
please help asap!!!

Answers

Answer:

she recurved 15.89 over the weekend

Step-by-step explanation:

Answer:15.89

Step-by-step explanation:

35.21-19.32=

15.89

what is x? 15(x-1)-7(x+9)=4x

Answers

i got x = -78.75 , i included a picture of my work because it’s too difficult to put into text!

How is 80.106 written in expanded form?

Answers

The expanded form representation of the decimal number given as in the task content is; (8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001).

What is the expanded form of the decimal number as given in the task content?

It follows from the task content that the number given is; 80.106.

Hence, the expanded form is;

(8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001)

Read more on expanded form;

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The circumference of a circle is 6n meters. What is the diameters? Explain

Answers

Answer:

~1.909859317n

Step-by-step explanation:

Diameter = circumference divided by pi. 6/pi = 1.909859317

Answer:

Step-by-step explanation:

Circumference of a circle = 6π meters

                         πd = 6π      {Here, d is the diameter}

                           [tex]d=\frac{6\pi }{\pi }[/tex]

                           d = 6 meters

Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below. x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction What is Tyler’s error? Both powers should be in the numerator with positive exponents. Both powers should be in the denominator with positive exponents. The power x cubed should be in the numerator and the power y Superscript 9 in the denominator. The power y Superscript 9 should be in the numerator and the power x cubed in the denomin

Answers

Answer:

i am pretty sure it is   a) Both powers should be in the numerator with positive exponents.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Solve for x

x to the power of 2 = 0.49

Answers

Answer:

Stop asking others for the answer little girl, and do the work yourself

Answer:

0.7

Step-by-step explanation:

the square root of 49 is 7 so if it's in the form 0.49 the square root of that would be 0.7

please answer the everything thank you ! i'll mark the brainlest!!!!! :)

Answers

Answer:

1. a. 2 KM ; b. 9000 m

2. a. 9 L ; b. 3000 g

3. a.   6000 ml  ; b. 9

4. a. 60 mm ; b. 4000 m

5. a. 1 km     ; b. 2 kg

6. a. 5      ;    b. 4 m

7. a. 4000 ml  ; b. 3000

8. a. 10 kg ; b. 20 mm

9. a. 10 km ; b. 9kg

10. a. 4 kg ; 8 l

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