One has 60 teeth and it makes 50 complete revolutions in a minute. How many complete revolutions will the second gear complete, if it has 40 teeth?

Answers

Answer 1
Write and solve the equation of 2 ratios:

   60 teeth       50 rev
-------------- = -------------
   40 teeth          x

x= 3000/40 = 75

The smaller (40 tooth) gear will make 75 rev in a min.
Answer 2
60/50= 1.2 

1.2= 40x
x=40/1.2 
x=33.3

Related Questions

How does alternate freezing and thawing of water cause weathering to occur?

Answers

Hi. When water seeps into the cracks in rocks it expands as it freezes. Once it thaws, it seeps yet again into additional cracks in the rock. Over time, this causes large chunks of the rock to loosen and subsequently fall off.

Hope this helps.

Take care,
Diana

How does alternate freezing and thawing of water cause weathering to occur? Freezing chemically alters the rock surfaces Water expands when it freezes and cracks rocks open Thawing causes rock particles to move from place to place. User is waiting for your help.

If y=x+5 were changed to y=x+9 how would the graph of the new function compare with the first one

Answers

the y- intercept would be 4 units higher
y will intercept so you will equal y+x×7

A fruit basket contains oranges and grapefruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket?
Please help!

Answers

x = oranges, y = grapefruits

1/3 of total oranges = 4
1/3x = 4
x = 4 * 3
x = 12 .....12 oranges

1/4 of total grapefruits = 7
1/4x = 7
x = 7 * 4
x = 28.....28 grapefruit

total fruit : 12 + 28 = 40 pieces <==
i'd set it up as a system of equations

1/3 = 4/x

this equation is set up as 4 of the oranges are 1/3 of how many oranges? cross multiply to solve. 

there were 12 oranges.

1/4 x 7/x

this describes the grapefruits.

there were 28.

28 + 12 = 40 peices of fruit.

use distribution property in reverse to factor out the common term
5x+5

Answers

factor out 5 and you will be left with 5 (x+1).

PLZ HELP NOWWWWWW!!!!!!(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?

5 units
6 units
10 units
25 units

Answers

5 units since it is symmetric to it with respect to the center so whats on this side is equal to this side. Hope this helps

Answer: 5 units.

Step-by-step explanation:

Given : Line segment EF has a length of 5 units.    (1)

It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.

We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.

Thus, The length of E'F'=EF  [∵E'F' is the image produced after translation of EF]

Length of E'F'= 5 units.    [From (1)]

David took his family out for dinner. He planned to leave a 20% gratuity on the bill. What is the total cost if the bill was $125.00?

Answers

Let’s find 1% of 125 first.
125 x 0.01 = $1.25
1.25 x 20 = $25 gratuity.

Bill + gratuity = Total
$125 + $20 = $145

$145 is the answer.

Hope that helped! :)
If your asking what would be the Total Bill with the food and a 20 percent tip than the answer would be 150. 

What integer represents a gain of 8 yd

Answers

just 8 or +8
hope  this helps !
it would be just 8 because its gaining

Jaime wrote 4.4 - 0.33 = 1.1. Is his answer reasonable? Why or why not ( PLEASE HELP ME )

Answers

His answer is incorrect. The answer would be 1.1 if The equation was 4.4-3.3 however since it’s .33 the answer is 4.07
No it is not true. He misplaced his decimals when answering the question.

The number 4.4 goes out to the tenth decimal place, while the number .33 goes out to the hundredths decimal place.

2 more than k is greater than -3 as an inequality

Answers

the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]

To translate the phrase "2 more than k is greater than -3" into an inequality, we can follow these steps:

1. Identify the expression "2 more than k."

2. Write the expression as an inequality where it is greater than -3.

Step 1: "2 more than k" translates to (k + 2).

Step 2: Since "2 more than k" is greater than -3, we write the inequality:

[tex]\[ k + 2 > -3 \][/tex]

So, the inequality "2 more than k is greater than -3" can be represented as:[tex]\[ k + 2 > -3 \][/tex]

The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are there? a. 549 b.390 c. 280 d. 56

Answers

ratio is written in x:y. therefore for this case, red:yellow
5 : 7

since the question states that there are 392 yellow poms, the 7 units represents 392 yellow poms. now you have to gind what is one unit and then multiply by 5 to find the number of red poms.

392 represents 7 units
1 unit: 392/7=56
5 units: 5×56=280 red poms

therefore the answer is 280 red poms which is C.

The sum of three numbers is 87. The third number is 2 times the second. The first number is 7 more that the second. What are the numbers?

Answers

19 + 57 + 9 = 85 
Do you need farther explaining

What is the multiplier for 3/10=15/50

Answers

3/10 x 5/5 = 15/50

Answer : 5

The multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The fraction is 3/10

And the fraction of 3/10 is equivalent to the 15/50

3/10 = 15/50

On the left side multiply by 5 on the numerator and denominator.

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

= (3/10)(5/5)

= 15/50

Thus, the multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.

Learn more about the fraction here:

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Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you can make so that there are equal numbers of bananas in equal number of apples in each fruit basket how many bananas and apples will be in each fruit basket

Answers

7 is the most

Hope this helped :)

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).

Answers

y=-2 is a horizonal line and will make a 90° intersection with a vertical line. The vertical line perpendicular at that point has the equation x=4

x=4_____________________________________________________________________________________________________

Find the unknown side length for the triangle.
Area = 18 ft²

A. 1.5 ft

B. 3 ft

C. 6 ft

D. 9 ft

Answers

The answer will be 3 ft

A total of 8,644 people went a football game 5,100 sat on the home side rest sat on visitors side if people on visitors side filled 8 equal sections how many people sat in each sections

Answers

first do this to find out the total amount of people sitting in the visitor side:
8644-5100= 3544

then you divide 3544/8= 443
so 443 people sat in each section in all 8 sections 

so final answer is 443 people per section

Answer: 443 each row

Step-by-step explanation:its simple u can find out how many people sat on the vistor side (which was 3544) and divide that by 8 sfn u get ur answer think about  it next time bud!

the manager of a store specializes in selling tea decides to experiment with a new blend. She will mix some Earl Green tea that sells for $4 per pound with some orange pekoe that sells for $2 per pound to get 400 pounds of the new blend. The selling price of the new blend in $3.50 per pound and there is to be no difference in revenue from selling the new blend versus selling the other types. how many pounds of tge earl grey tea and orange pekoe tea are required

Answers

Final answer:

To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, set up a system of equations based on the given information. Solve the equations to find the values of x and y.

Explanation:

To find out how many pounds of Earl Grey tea and Orange Pekoe tea are required to make 400 pounds of the new blend, we can set up a system of equations based on the given information.

Let x be the number of pounds of Earl Grey tea, and let y be the number of pounds of Orange Pekoe tea.

We know that the selling price of the new blend is $3.50 per pound, and there is to be no difference in revenue from selling the new blend versus selling the other types.

This means that the revenue from selling the Earl Grey tea and Orange Pekoe tea separately should be the same as the revenue from selling the new blend.

The revenue from selling the Earl Grey tea is 4x, and the revenue from selling the Orange Pekoe tea is 2y. So we have the equation 4x + 2y = 3.50 ×400.

We also know that the total weight of the new blend is 400 pounds, so we have the equation x + y = 400.

We can solve these two equations to find the values of x and y.

Which of the following best describes the US government?

A. Executive rule

B. Representative democracy

C. Direct democracy

D. Dictatorship

Answers

It would be B. Because we elect who goes to office, they represent are decision making

The number z and −1.9 are additive inverses.

Drag and drop −1.9 and z to their correct positions on the number line.

Drag and drop the label “Sum” to the sum of −1.9 and z.

Answers

Final answer:

For z and -1.9 to be additive inverses, they must sum up to zero. Consequently, z should be 1.9, and both -1.9 and z (=1.9) placed on a number line would reflect their locations relative to zero. The sum of -1.9 and 1.9 would equal zero.

Explanation:

In Mathematics, additive inverses are two numbers that add up to give zero. If the numbers z and -1.9 are additive inverses, this means that when added together, they produce the sum of zero. Therefore, z should be the opposite of -1.9, 1.9 on the number line.

The number -1.9 would appear on the left-hand side of the zero because it is a negative number. The number z (=1.9) would appear on the right-hand side of the zero because it's positive. According to the definition of additive inverses, the sum of these two numbers (-1.9 and 1.9) would be zero. So, 'Sum' would also be zero on the number line.

Learn more about Additive Inverses here:

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can anyone get this answer

Answers

This problem is asking you to apply the *Pythagorean Theorem*, given the information you’ve been given.

In case you’ve forgotten, the Pythagorean Theorem states that, in any given right triangle, the sum of the squares of the lengths of its legs is equal to the square of the length of its hypotenuse (the side opposite its right angle). If we call the lengths of the legs a and b, and the length of the hypotenuse c, this can be expressed in notation as a^2+b^2=c^2 (it doesn’t matter in this case which leg you pick for a and which you pick for b). Here, if we choose the left leg as a and the bottom leg as b, we’re given that a^2 (the area of a square with sides of length a) is 25 sq. in, and b is 3.5 in. Plugging those values into the equation, we have:

25 + (3.5)^2 = c^2

From here, you don’t even need to solve for c, you just need to find the value of c^2 (since you’re trying to find the area of a square with side lengths c). Just solve the left side of the equation, and you’ll have your answer in square inches.
























Your football team gained 4 yards on first down and 2 yards on second down during its last possession. Which number is the additive inverse of the yards gained?

Answers

Final answer:

The additive inverse of 6 yards (4 yards on first down and 2 yards on second down) is -6 yards. A yard is a unit of length equal to 3 feet and is an SI Base Unit standard used in football.

Explanation:

The student is asking about the additive inverse of the yards gained in a football game. The additive inverse of a number is a number that, when added to the original number, will result in zero. In this case, the football team gained 4 yards on first down and 2 yards on second down, making a total of 4 + 2 = 6 yards. Therefore, the additive inverse of 6 yards is -6 yards because 6 + (-6) equals zero.

When considering SI Base Units, a yard is a unit of length equal to 3 feet. This is a predefined standard used internationally, and especially relevant in football, where moving the ball 10 yards results in a first down. This standardization ensures clarity and uniformity in the game, regardless of the location.

Which is the best definition of a quadrilateral?

A.
a 4-sided polygon with no equal sides

B.
a parallelogram with no equal sides

C.
a 4-sided polygon

D.
a parallelogram with 2 pairs of equal angles

Answers

The best definition would be choice C) a 4-sided polygon.
C. A 4-sided polygon.

if you know 8×10=80, what other related multiplication fact do you know?

Answers

I know many multiplications facts. Related ones could be the 8 times tables or the 10 times table. I could list all of them up to 100.
10,20,30,40,50,60,70,80,90,100.
8,16,24,32,40,48,56,64,72,80,88,96.

Find (7 × 10^5) + (2 × 10^3).

A) 7.002 × 10^3
B) 7.002 × 10^5
C) 7.02 × 10^3
D) 7.02 × 10^5

Answers

Final answer:

To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.

Explanation:

To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:

7 × 10^5 = 700,0002 × 10^3 = 2,000

Adding the two numbers:

700,000 + 2,000 = 702,000

Now, we need to convert 702,000 back into proper scientific notation. To do this:

Find the first non-zero digit from the left, which is 7.Write it down, followed by a decimal point and the rest of the significant figures, which results in 7.02.Count the number of places the decimal point was moved to the left, which is 5. This is the exponent of 10 needed.

Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:

(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,

so the correct choice is D) 7.02 × 10^5.

(12x-32) factored using GCF

Answers

4(3x-8) is factored using gfc. 4 is the gcf

Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?


a reflection over the y-axis and a translation 4 units up

a reflection over the y-axis and a translation 4 units down

a reflection over the x-axis and a translation 4 units up

a reflection over the x-axis and a translation 4 units down

Answers

reflection over the x-axis and a translation 4 units down Refelcting f(x) over the x axis gives -f(x)=-3x-1 Subtracting a constant from -f(x) moves the graph of -f(x) that many units down. -f(x)-4=-3x-5=g(x) This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.

Answer:

(c) a reflection over the x-axis and a translation 4 units down

Step-by-step explanation:

I took a quiz with this question :) Happy Halloween

Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .

Answers

The gas mileage of Ms. Gonzalez's car is 48 miles per gallon. Therefore, the correct answer is B. 48 miles per gallon.


To find the gas mileage of Ms. Gonzalez's car, we divide the total distance travelled by the amount of gas consumed.

Given:

- Total distance travelled = 420 miles

- Amount of gas consumed = 8 3/4 gallons

To find the gas mileage, we divide the total distance by the amount of gas:

[tex]\[ \text{Gas mileage} = \frac{\text{Total distance}}{\text{Amount of gas consumed}} \][/tex]

[tex]\[ \text{Gas mileage} = \frac{420}{8 \frac{3}{4}} \][/tex]

To divide by a mixed number, we first convert it to an improper fraction:

[tex]\[ 8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \][/tex]

Now, we can perform the division:

[tex]\[ \text{Gas mileage} = \frac{420}{\frac{35}{4}} \][/tex]

[tex]\[ \text{Gas mileage} = \frac{420 \times 4}{35} = \frac{1680}{35} \][/tex]

[tex]\[ \text{Gas mileage} = 48 \text{ miles per gallon} \][/tex]

Rounded to the nearest mile per gallon, the gas mileage is 48 miles per gallon.

So the correct answer is: B. 48 miles per gallon.

Complete Correct Question:

Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .

A. 43 miles per gallon

B. 48 miles per gallon

C. 49 miles per gallon

D. 50 miles per gallon

35 birds to 45 birds?

Answers

I'm not sure what your trying to ask is that the full question 

there is a difference of 10

if b is between a and c find the value if x and bc when ab=3x bc=5x and ac=8

Answers

ab + bc = ac 

3x + 5x = 8 

8x = 8 

x = 1 is value of x 

To find the length of bc substitute 1 for x 

ab =  5 ( 1)

ab = 5 

The value of x is 1, and the length of segment BC is 5 units.

If point B is between points A and C, then we can use the segment addition postulate to relate the lengths of segments AB, BC, and AC.

According to the segment addition postulate, the sum of the lengths of two segments that form a larger segment is equal to the length of the larger segment. In this case, we have:

AB + BC = AC

We're given that AB = 3x, BC = 5x, and AC = 8. Substituting these values into the equation:

3x + 5x = 8

Combine like terms:

8x = 8

Now, divide both sides by 8 to solve for x:

x = 8 / 8

x = 1

So, x is equal to 1.

Now that we know the value of x, we can find the length of segment BC:

BC = 5x

BC = 5 * 1

BC = 5

for such more question on length

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One integer is eight less than another integer. The sum of the two integers is fifty. What are the integers?

Answers

x+x-8=50
2x=58
x=29
x=21 
Have a great day :)

Answer:

x+x-8=50

2x=58

x=29

x=21

Step-by-step explanation:

x+x-8=50

2x=58

x=29

x=21

hope this helps have an amazing day :)

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