A teacher has a container of paper clips. She will randomly select one paper clip from the container. The container has 8 pink paper clips. The container has 14 purple paper clips. The container has 12 yellow paper clips. The container has 16 blue paper clips. Which statement is true?

What is the total amount of rain on the ground, in inches, after 8 hours of the storm?

The cost of 8 family passes to the amusement park is $432 when a family pass to the amusement park costs $54.

To find the cost of 8 family passes to the amusement park, we can use the Distributive Property of multiplication over addition. The Distributive Property states that a(b + c) = ab + ac, where a, b, and c are numbers. In this case, we can use the Distributive Property to write:

8 x $54 = (5 x $54) + (3 x $54)

We can see that we have broken 8 down into two smaller numbers that we can multiply by $54 individually, and then add together. The first term, 5 x $54, represents the cost of 5 family passes, while the second term, 3 x $54, represents the cost of 3 family passes. Adding these two values together, we get:

(5 x $54) + (3 x $54) = $270 + $162 = $432

Therefore, the cost of 8 family passes to the amusement park is $432.

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Paula needs to grow 5.5 more inches before she is tall enough for the bumper cars.

To determine how many more inches Paula needs to grow to be tall enough for the bumper cars, we need to convert her height from feet to inches.

There are 12 inches in 1 foot. Paula is 3.5 feet tall, so we multiply 3.5 by 12 to find her height in inches: 3.5 * 12 = 42 inches.

The minimum height for the bumper cars is 48 inches. To find the difference, we subtract Paula's height from the required height: 48 - 42 = 6 inches.

Your answer: Paula needs to grow 6 more inches to be tall enough for the bumper cars.

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Answer:

is the same because when you add the fraction -3/10 + 4/10 you gonna have to add -3 +4 because since their denominator is the same (10) we don´t have to solve anything.

Step-by-step explanation:

don´t forget to brainllest!:)

Let's use the formula provided:

Answer:integers and 0 q ≠ , is called a rational number. ... A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.

Step-by-step explanation:

Answer:

of what exactly and thanks for the points

The expression equivalent to given expression is -1/(4x²+9x+5).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 4/(4x+5) -1/(x+1)

Here, 4(x+1)-(4x+5)/(4x+5)(x+1)

= (4x+4-4x-5)/(4x²+5x+4x+5)

= -1/(4x²+9x+5)

Therefore, the expression equivalent to given expression is -1/(4x²+9x+5).

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The length of chord XY is 5√2.

What is the length of the chord?

It is described as the line segment that connects any two points on the circle's circumference without going through the circle's center. As a result, the diameter is the chord of a particular circle that is the longest and goes through its center. In mathematics, determining the chord's length can be crucial at times.

Here, we have

Given: A circle with center O and radius 5 has a central angle XOY. X and Y are points on the circle. ​If the measure of arc XY is 90 degrees.

We have to find the length of chord XY.

∠XOY = 90°

OX = OY = 5

We draw a perpendicular from the center to chord XY bisect XY at D.

Now, since OD bisects ∠XOY

∠XOD = ∠YOD = 90°/2 = 45°

Now, in ΔXOD

sin45° = XD/OX

1/√2 = XD/5

5/√2  = XD...(1)

In ΔYOD

sin45° = YD/OY

5/√2  = YD...(2)

Adding (1) and (2), we get

XD + YD = 5/√2 + 5/√2

XY = 5√2

Hence, the length of chord XY is 5√2.

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Answer:

13

Step-by-step explanation:

This is a special right triangle with side lengths 5-12-13 respectively.

If we can't remember the lengths we can use the following formula to calculate the lentgh of hypotenuse:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

the sum of square measure of both legs is equal to the square measure of hypotenuse

\( {5}^{2} + {12}^{2} = {c}^{2} \)

25 + 144 = c^2

169 = c^2 find the root of both sides

13 = c, hypotenuse.

Answer:

El padre tenía un capital de 60,000 euros.

El hijo mayor recibe 12,000 euros.

El hijo segundo recibe 15,000 euros.

El hijo tercero recibe 33,000 euros.

Step-by-step explanation:

Sea \(x\) el capital total del padre y \(a,b,c\) son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:

Hijo mayor

\(a = \frac{1}{5}\cdot x\) (1)

Hijo segundo

\(b = \frac{1}{4}\cdot x\) (2)

Hijo tercero

\(c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000\) (3)

De (3) tenemos que el capital del padre es:

\(x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }\)

\(x = 60000\)

El padre tenía un capital de 60,000 euros.

Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:

\(a = \frac{1}{5}\cdot x\)

\(x = 12000\)

El hijo mayor recibe 12,000 euros.

\(b = \frac{1}{4}\cdot x\)

\(b = 15000\)

El hijo segundo recibe 15,000 euros.

Answer:

1/2

Step-by-step explanation:

'%' literally means 'out of 100'. So if it is 50 out of 100, we can write it as 50/100. This can then be simplified down to 1/2.

Answer:

50% can be written as 50/100 or can be simplified and written as 25/50 or 5/25 or 1/5.

If you want to write it as a whole number, you can divide the fraction of 50% ex:- 1/5. So, the whole number you get is 1/5 = 0.2.

Answer:

5% of the cars has a standard transmission.

Step-by-step explanation:

20 out of 400 is equal to 5 out of 100, which would be 5%

therefore 20 is 5% of 400

Answer:

Its not 17.0

Step-by-step explanation:

I dont know what the answer is but that other guy up there is incorrect

Answer:

=3^3a(3^2-3)/6x3^3a

=3^3a(9-3)/6x3^3a

=3^3ax6/3^3ax6

=1

So, the answer of the above exponent algebra eqn is 1. And Plz refer the above attachment for the procedure of the answer.

If you like my answer, so plz Mark As Brainliest. .❤.

Answer:

Her uncle's age = 47 years

Step-by-step explanation:

Sophia = 12 years old

Her Uncle Reynald tells her that if she adds 5 to her age,

= 12 + 5

multiplies the sum by 3

= (12 + 5) × 3

and then subtracts 4 from the product

= {(12 + 5) × 3} - 4

she will find his age

{(12 + 5) × 3} - 4

= (17 × 3) - 4

= 51 - 4

= 47

Her uncle's age = 47 years

Sophia wrote:

12 + 5 × 3 − 4

Using PEMDAS

P - product

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

Sophia's expression can be written as = 12+(5*3)-4

= (12 + 15) - 4

= 27 - 4

= 23

Sophia's expression is wrong

Answer:

You round the number closest to it like.

Step-by-step explanation:

Lets say

1.2045

Sinces its 5 round the four.

Hope this helps

For example you need to round 100.42356 to the nearest thousandth, you have to look at the number next to the thousandth place.. (3) if that number is less than 5 you would say the number is rounded to 100.42 but if that number Is bigger than 5 or is 5 it would be 100.43 hope this helps!

Answer:

The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Step-by-step explanation:

Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​180,000 mosquitoes are in the city on May 12​, find how many mosquitoes will inhabit the city on May 25. Use y= 18​0,000(1.08)x where x is number of days since May 2.

The explanation to the answer is now given as follows:

Given;

y = 18​0,000(1.08)x = 18​0,000 * 1.08 * x .................... (1)

Where;

y = Number of mosquitoes that will inhabit the city on May 25 = ?

x = Number of days since May 2 = 25 - 2 = 23

Substituting for x = 23 into equation (1), we have:

y = 18​0,000 * 1.08 * 23

y = 4,471,200

Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Answer:

Step-by-step explanation:

distance between ( 3 , 9 ) and ( 3 , - 3 ) = 9 - (-3) = 12 because x is the same for both pts

12 is the diameter of circle so its radius = 12/2 = 6

center is in the middle: ( 3 , (9-3)/2 ) = ( 3, 3 )

so the circle's eqn is

( x - 3 )^2 + ( y - 3 )^2 = 6^2

Riley has collected approximately 22.7 grams of the trace element in his sample.

To calculate the amount of trace element collected by Riley, we first need to find the volume of the cylinder-shaped container that he used. The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

Plugging in the values given in the problem, we get:

V = π(5.7 cm)²(13.6 cm)

V ≈ 1338.6 cubic centimeters

Since the sample contains 0.017 grams of the trace element per cubic centimeter of water, we can find the total amount of trace element collected by multiplying the volume of the sample by the concentration of the trace element:

0.017 grams/cubic centimeter × 1338.6 cubic centimeters ≈ 22.7 grams

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The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

From the diagram,

length = 2x - 2

width = x

Perimeter = 50

Thus,

50 = 2(2x - 2 + x)

Dividing both sides of the equation by 2, it becomes

50/2 = 2x + x - 2

25 = 3x - 2

3x = 25 + 2 = 27

x = 27/3

x = 9

The length of the shorter side is 9

Answer:

the correct answer is C

4x=52

52 divided in 4 parts is 13, so each ticket is 13 dollars

Answer: A, C and E.

Step-by-step explanation:

The expressions 1/2 + 3c + 4/5 is thesame as writing 3c + 1/2 + 4/5, 1/2 + 4/5 + 3c, 4/5 + 1/2 + 3c, 3c + 1/2 + 4/5.

In all the expressions written above, the only thing that can be seen is just that the position of the numbers were alternated.

Therefore, based on the options given, the answer will be A, C, and E.

The value of the given expression is 0.

When evaluating the given expression, we need to integrate the function (8x+y) with respect to both x and y over the specified limits. The integral of 8x with respect to x is 4x^2, and the integral of y with respect to y is 0. Therefore, the integral of (8x+y) dx dy simplifies to 4x^2y.

Next, we substitute the limits of integration, which are from x = 0 to x = 4 and from y = 5 to y = 1. Plugging these values into the expression 4x^2y, we get:

4(4^2)(1) - 4(0^2)(5)

= 4(16)(1) - 4(0)(5)

= 64 - 0

= 64

Thus, the overall value of the given expression is 64.

Integration is a fundamental concept in calculus, involving finding the area under a curve or the accumulation of a function. In this particular case, we evaluated a double integral, integrating a two-variable function over a rectangular region. The limits of integration determine the range over which the integration occurs, and the resulting expression simplifies to a single value. Understanding integration and its applications is crucial in various fields, including physics, engineering, and economics.

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The money spent to fill up the tank with gas was $32.90

An equation is an expression that shows the relationship between two or more numbers and variables.

Lou's car had 4.6 gallons of gas in the 14-gallon tank. To fill the tank:

Amount of gas needed = 14 gallon - 4.6 gallon = 9.4 gallons

Lou filled the tank costing 3.50 per gallon, hence:

Total cost = $3.50 * 9.4 gallons = $32.90

The money spent was $32.90

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Answer:

5?

Step-by-step explanation:

You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5

Answer: \(\frac{20}{24}\)

Multiply each sides of the fraction (numerator/denominator) by 4.

5 x 4 = 20, 6 x 4 = 24

Make a fraction out of 20 and 24.

20/24 = \(\frac{20}{24}\)

Make sure the fraction is correct, by adding.

20 + 24 = 44

Answer = 44