Mathematics Middle School

(Write the rate as a fraction, then find each unit rate.)

A wheel rotates through 1,800 degrees in 5 revolutions.

Answers

Answer 1
1800 / 5....unit rate = 360/1...which is basically saying the wheel rotates 360 degrees every revolution
Answer 2

From the computation, the rate per revolution will be 360°.

From the information given, it was stated that the wheel rotates through 1,800 degrees in 5 revolutions.

Therefore, the rate per revolution will be:

= 1800/5

= 360°

Therefore, the rate per revolution is 360°.

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Related Questions

A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage?

Answers

3/5 of 35 = 21. $22 x 21 = $462

Find x if y=-2 4x-6/y=15 A.9/2 B. 5 C.3 D.-6/23

Answers

4x-6/(-2)=15
4x+3=15
4x=12
x=3
Your answer is letter C.) 3

Write an expression that is equivalent to
(23.6-7.1a-4.2b)-(5.8b-9a)

Answers

Final Answer:

(23.6 - 9a - 5.8b)

Explanation:

Steps to simplify the expression:

Combine constant terms:

(23.6 - 7.1a - 4.2b) - (5.8b - 9a) = 23.6 - 7.1a - 4.2b - 5.8b + 9a

Group terms by variable:

(23.6 - 4.2b - 5.8b) + (-7.1a + 9a)

Combine like terms:

19.6 - 10b + (-7.1a + 9a) = 19.6 - 10b + 2a

Rewrite the expression with the simplified terms:

(19.6 - 10b) + 2a

Therefore, the equivalent expression is (19.6 - 10b) + 2a.

Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)

Answers

use subsitution


m+5n=20
m=n-4

sub n-4 for m in other equation

n-4+5n=20
6n-4=20
add 4 both sides
6n=24
divide by 6 both sides
n=4

sub back

m=n-4
m=4-4
m=0

(m,n)
(0,4)

Answer:

(m,n) = (0,4)

Step-by-step explanation:

We have

          m + 5n = 20 -----------------------eqn 1

          m = n - 4 ----------------------------eqn 2

eqn 1 - eqn 2

        m + 5n - m = 20 - ( n- 4 )

         6n = 24

           n = 4

Substituting in eqn 2

           m = 4 - 4

            m = 0

So the correct set is (0,4)

(m,n) = (0,4)

Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'

Answers

MV is the answer. Because AC to VJ as RO is just MV

How do you subtract: a negative number minus a positive number?

Answers

Hello there!

When subtracting a positive number from a negative, you're doing the same as adding two positive numbers, but flipping the value.

For example;

-2 - 2 = -4
2 + 2 = 4

If this doesn't help you, please message me or comment below and I will do my best to explain to you how it works. Thanks!

Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?

Answers

Four out of nine. There are 4 even numbers from 1-9
The answer is 4/9 because there are 4 even numbers between 1-9. And there are 9 cards

Find the area of a triangle with a base of 10 meters and a height of 6 meters

Answers

A = (1/2)bh  [b = 10 m, h = 6 m]

A = (1/2) * 10 * 6 = 30 m²
area of triangle=1/2 times base times height
given
base=10
height=6

area=1/2 times 10 times 6
area=5 times 6
area=30 squaer meters

What is 1000mm=. m
What is 65mm=. m
What is4.92m=. m
What is 3mm=. m

Answers

There are 1000 millimeters in a meter, so to convert, move the decimal three places to the left.

1000mm= 1m

65mm= 0.065m

To convert m to mm, move the decimal three places to the right.

4.92m= 4920 mm

3mm= 0.003m
1000mm = 1m
65mm. = 0.065m
4.92 m. = 4920mm
3 mm. = 0.003m

Which section of the function is constant? A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward.

Answers

Answer:

Answer: B

Step-by-step explanation:

Solve the compound inequality. 7x > -35 and -5x > -50

Answers

7x > -35
x > -35/7
x > -5

-5x > -50
x < -50/-5
x < 10

-5 < x < 10 <==

The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?

Answers

Assume the bigger number is x, since the difference is 18, another one should be x - 18

So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81

Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81

Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2

Answers

The equations presented in the choices above are all derived from the Pythagorean theorem. This states that the sum of the squares of the two shorter sides is equal to the square of the longest side which is also referred to as the hypotenuse. 

If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A. 

Answer:

it is abtuse triangle

Step-by-step explanation:

no step

A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.

Answers

Volume of a rectangular prism is
V = length × width × height

The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³

Volume of a cylinder is
V = Area of circular base × height = [tex] \pi r^{2} [/tex]×h, where [tex]r[/tex] is the radius of the circular base

The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

Hence, the number of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


great jobbb. very helpful i meant 5 stars lol my b

Debbie needs to fill juice cups for her little brother's birthday party. There are 20 juice cups and each juice cup holds 10 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?

(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)

1 bottle
2 bottles
3 bottles
4 bottles

Answers

1 gallon = 4 qts

1 qt = 32 fl. ounces

 so 32 x 4 = 128 fl. ounce in a gallon

20 cups at 10 ounces each = 20*10 = 200 ounces needed

200/128 = 1.5625 gallons needed

she will need to buy 2 bottles


Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?

Answers

The formula to find the z score in a normally distributed set of data is: z = (x - ÎĽ) / Ď With ÎĽ being the mean, Ď being the standard deviation, and x being the score. Substituting these values into the formula gives us z = (800 - 500) / 100 = 3 The z-score of the 800 point score is 3.

WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!

Answers

29 out of 74 do not like rap

29/74 = 0.39

31 out of 74 do not like hip hop

31/74 = 0.42

0.39+0.42 = 0.81

 answer is 0.81

It's 21/31, which is 0.677419355, or 0.68 when rounding 0.677. So the answer is o.68. The brailiest answer is mine.

can someone please help me?

Answers

B is the answer :))))
B is the answer. It is B

Simplify 5 • 2 • (–4) + 6 ÷ 2

Answers

Your answer is -37. (work from left to right)
PEMDAS
paranthesis
exponents/roots
multiplication/division
addition/subtraction

so your question: 5 x 2 x (-4) + 6 divided by 2

5 x 2 x (-4)= -40 
-40 / 2 = -20
-20 + 6 = -14

your answer is -14 

hope this helps :D

The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 -12
0 -6
1 0

g(x)
g(x) = 2x + 6


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

Answers

PART A)
if f(x) is a line, you can find this expression:

y = m * x + b

Substitute two values to find, m and b. m is the slope, b the intercept, OK?

(0,-6) ---> -6 = b, so b= -6.
(1, 0) ---> 0 = m + b = m - 6, m = 6.

f(x) = 6x-6.

Check it:

(-1,-12)? y = 6*(-1)-6 = -12, yeah!!!

Now, g(x) is written as slope-intercept already:

slope = 2 (the coefficient of x)
intercept = 6 (the term without x)

slope of f(x) =6, slope of g(x) = 2

PART B)

6>-6, so the intercept of g(x) is greater.

Hope you learned sth! :)

do the opposite angles in a parallelogram have the same measure please explain why

Answers

Yes, opposite angles in a parallelogram always have equal measures. This is a defined property of parallelograms and an easy way to check if the shape is one. Since a parallelogram has 4 angles and the 2 sets of sides are parallel, any 2 adjacent angles have a sum of 180 degrees. Using this, the 2 adjacent angles to any one angle must be opposite to each other and therefore equal.
Final answer:

Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.

Explanation:

Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.

In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.

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True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Answers

Final answer:

A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

Explanation:

A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.



To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.



Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.

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The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.

Answers

The sketch of the square JKLM is shown in the diagram below, which also tells us the coordinate of M = (4, 1). Plotting the coordinate on a graph is the most efficient way to work out the coordinate of M.

Mathematically, JKLM is a square because all of its four sides are equal in length. We also can justify by measuring the interior angles. A further method of justifying that JKLM is a square is by showing the lines connecting at each vertex are perpendicular.

if x + y = 8 find the value of y when x = -1

Answers

Your answer would be y=9
First, replace x with the value of x.

x + y = 8 becomes -1 + y = 8

Solve for y.

-1 + y = 8
y = 9 <-- Add 1 to each side

So, y is equal to 9.

Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?

0.265 grams
0.355 grams
0.769 grams
1.385 grams

Answers

0.825-0.56

0.265 grams
.265 grams would be the correct answer

Which statement best describes the expression 3 + 2 ÷ y?

The quotient of y and the sum of 3 and 2
The quotient of the sum of 3 and 2 and y
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2

best answer will get BRAINLIEST!!!!!

Answers

Answer:

C. The sum of 3 and the quotient of 2 and y

Step-by-step explanation:

Given :  3 + 2 ÷ y

Solution:

First consider the BODMAS rule

solving any equation we need follow this sequence (BODMAS)

B - Bracket

O - Of

D- Division

M- Multiplication

A - Addition

S - Subtraction

So, in the given equation we first consider the division after that the addition

i.e. division of 2 by y (quotient of 2 and y) and then addition of 3  in the result of division of 2 by y

So, we can say it as The sum of 3 and the quotient of 2 and y

Answer:

The answer is just c

Step-by-step explanation:

how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon

Answers

Theoretically, you should be able to travel 396 miles on a full tank of gas. I found this by multiplying 22 and 18 because you can get 22 miles for every single gallon, and you have 18 gallons.

Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2

Answers

The area of rectangle ABCD would be 80.

Find the area of a rectangle

Answers

What are the measurements?
to find the area of a rectangle multiply the length by the width

Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.

Answers

he could have only drawn a square

Jeremy drew a square, which is a regular polygon with four equal sides and four right angles.

If Jeremy drew a polygon with four right angles and four sides of the same length, he could have drawn a square. This is because a square is the only regular polygon with four sides (also known as a quadrilateral) that has all sides equal in length and all angles equal at 90 degrees. In a quadrilateral, the sum of all interior angles is 360 degrees, which satisfies the criteria of having four right angles, as each right angle measures 90 degrees. The shape Jeremy drew cannot be any other polygon since the definition of a square is specific to having all sides equal and all angles equal, which uniquely identifies it among four-sided polygons.

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