During the first week of a summer camp 2 out of 3 campers were boys. During the second week 3 out of 5 were boys. There were a 15 total campers each week. During which week were there more boy campers. Explain

Answer:

x > 18

Step-by-step explanation:

If you need to complete more than 18 repetitions, you would use the greater than sign.

Answer:

its c i did the question

Step-by-step explanation:

The total time for the student's total trip is A = 58 minutes

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is = total time for the trip

Substituting the values in the equation , we get

The total length of the bus route is 57 minutes. The student is taking a trip for 2/3 of the total route length, which is (2/3) x 57 = 38 minutes

In addition to the time on the bus, the student must also walk 10 minutes to get to the bus and 10 minutes from the bus to his destination.

Therefore, the total time for the student's trip is:

38 minutes (on the bus) + 10 minutes (walking to the bus) + 10 minutes (walking from the bus) = 58 minutes

Hence , the time for student's trip is A = 58 minutes

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David reads 80 pages every day.

Karen reads 25% more pages every day than David reads.

So, Karen reads [tex]\frac{25}{100}*80= 20[/tex] more pages. She reads a total of 80 + 20 =100 pages.

Rick reads 35% fewer pages per day than Karen. So, Rick reads [tex]\frac{35}{100}*100=35[/tex] less pages than Karen. He reads 100 - 35 =65 pages

So, in total the tree friends read = 80+100+65=245 pages.

So, equation becomes [tex]245d=10000[/tex]

You can tell if they're similar if they:

1) Have two of the same angles

2) If two pairs of corresponding angles in a pair of triangles are congruent.

3) If they are the same shape

with it's formula

Area of Triangle = (1/2)(ab)sin(C) – This formula is used when two sides and the angle in between them are known. It can be obtained from the basic formula, Area of Triangle = 0.5 × base × height. The height with respect to side 'a' can be written in as b×sin(C), where C is the angle between a and b.

Find the spread for both by subtracting the hlowest number from the highest number:

Basketball: 85-67 = 18

Baseball: 76 - 64 = 12

Now subtract the two to find their difference:

18-12 = 6

The answer would be C. The spread of data for basketball players is 6 inches greater than baseball players.

Answer:

a

Step-by-step explanation:

Final answer:

The area of a trapezoid with bases of 4 yards and 6 yards, and a height of 5 yards is calculated using the formula (1/2)*height*(sum of the bases). By substituting the given measurements, the area comes out to be 25 square yards.

Explanation:

The area of a trapezoid can be calculated using the formula: Area = ½×(height)×(sum of the bases). Given the measurements of a trapezoid with bases of 4 yards and 6 yards, and a height of 5 yards, we apply the formula:

Area = ½×(5 yards)×(4 yards + 6 yards)

First, sum the lengths of the bases:

4 yards + 6 yards = 10 yards

Then, substitute the sum of the bases and the height into the formula:

Area = ½×(5 yards)×(10 yards)

Area = ½×(50 yards²)

Area = 25 yards²

Therefore, the area of the trapezoid is 25 square yards.

Answer:

1. 392, 20.83, 4/3

2. 16 cm and 45 cm cone

3. 0.9 Fl oz

4. the cone still

Step-by-step explanation:

The volume of each vase can be determine by using volume formula of sphere, cone and cylinder.

(1) The volume of sphere is [tex]972\pi[/tex], volume of cone is [tex]960\pi[/tex] and volume of cylinder is [tex]1000\pi[/tex].

(2) You should purchase the cylinder vase.

(3) The largest vase hold [tex]40 \pi \:{\rm cm}^3[/tex] more than smallest vase.

(4) If the diameter decreases by 2 cm, then cone holds more water.

Given:

Diameter of cylinder is [tex]d=10 \:\rm cm[/tex].

Height of cylinder is [tex]h=40\:\rm cm[/tex].

Diameter of cone is [tex]d=16 \:\rm cm[/tex].

Height of cylinder is [tex]h=45\:\rm cm[/tex].

Diameter of sphere is [tex]d=45 \:\rm cm[/tex].

(1)

Calculate the volume of cylinder.

[tex]\begin{aligned}\mbox{Cylinder Volume} &= \pi r^2 h\\& = \pi(5)^2(40) \text{ cm}^3\\&= 1000 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of Cone.

[tex]\begin{aligned}\mbox{Cone Volume} &= \frac13 \pi r^2 h\\&= \frac13 \pi(8)^2(45) \text{ cm}^3\\&= 960 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of sphere.

[tex]\begin{aligned}\mbox{Sphere Volume} &= \frac43 \pi r^3\\&= \frac43 \pi (9)^3 \text{ cm}^3\\&= 972 \pi \text{ cm}^3.\end{align}[/tex]

(2)

Since the volume of cylinder is higher than the volume of sphere and cone. So, you should purchase cylinder vase.

(3)

The largest vase hold water more than the smallest vase is,

[tex]\text{Cylinder Volume} - \text{Cone Volume} = 1000 \pi \text{ cm}^3 - 960 \pi \text{ cm}^3 = 40 \pi \text{ cm}^3[/tex]

(4)

As per the question if diameter of each vase decreases by 2 cm then radius decreases by 1 cm.

Calculate the volume of cylinder.

[tex]\begin{aligned}\mbox{Cylinder Volume} &= \pi r^2 h\\&= \pi(4)^2(40) \text{ cm}^3\\&= 640 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of Cone.

[tex]\begin{aligned}\mbox{Cone Volume}&= \frac13 \pi r^2 h\\&= \frac13 \pi(7)^2(45) \text{ cm}^3\\&= 735 \pi \text{ cm}^3.\end{align}[/tex]

Calculate the volume of sphere.

[tex]\begin{aligned}\mbox{Sphere volume} &= \frac43 \pi r^3\\&= \frac43 \pi (8)^3 \text{ cm}^3\\&= 682 \frac23 \pi \text{ cm}^3.\end{align}[/tex]

Since the volume of cone is more the sphere and cylinder. So cone hold most water.

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Answer:

5X+15

Step-by-step explanation:

you just have to multiply 5 and X and also multiply 3 by 5.

Answer:

[tex]\boxed{\bold{5x+15}}[/tex]

Step-by-step explanation:

Distributive Property: [tex]\bold{a(b+c)=(a*b)+(a*c)}[/tex]

Write An Equation:

(5 * x) + (5 * 3)

Solve:

5 * x = 5x

5 * 3 = 15

Rewrite Equation

5x + 15

Answer: for #1. 10.5 cups of water. For #3. 55 people

Step-by-step explanation:

You must take the total amount of fluid ounces and divide it by how many ounces in a cup, which is 8.

You must divide the amount of people that tested positive by the percentage (as a decimal) of people tested. In this case, it would be 22 divided by 0.4.

4(5√x^2y)+3(5√x^2y)=7(5√x^2y)

A.

A liquid can take the shape of its container

Answer:

Part A: 45

Part B: 22

Step-by-step explanation:

Answer:

5/100, .05

Step-by-step explanation:

The decimal form remains 0.5, but when expressed with a denominator of 100, it becomes 50.0%.

To express 0.5 as hundredths in fraction form, you convert the decimal to a fraction with a denominator of 100. Since 0.5 is equivalent to 50%, you would write this as 50/100. This fraction can also be simplified to 1/2 by dividing both the numerator and the denominator by 50.

In decimal form, 0.5 is already represented as a decimal and does not require conversion. However, if we are to express it with a denominator of 100, we simply move the decimal point two places to the right (multiplying by 100), yielding 50.00, which can then be represented as 50.0% when expressing as a percent.

Answer:

Final answer is slope = 0.73

Step-by-step explanation:

Given that an old house has a basement stairway.

Stairway has steps with 7.25 inch vertical risers and 10 inch horizontal treads. Now we need to find about what is the slope of the stairway.  Also round the answer to two decimal places.

[tex]slope=\frac{rise}{run}=\frac{7.25}{10}=0.725[/tex]

Now round that value to two decimal places gives 0.73

Hence final answer is slope = 0.73

they’re the same shape and size

Answer:

They are going to have a congruent match of sides and angles

Step-by-step explanation:

This is because congruent parts of congruent triangles are congruent.

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Answer:

35 white balls.

Step-by-step explanation:

you need to multiply 7 * some constant c and do the same to 1. The total has to come out to 40

7*c + c = 40      Combine the terms on the left.

8c = 40              Divide by 8

8c/8 = 40/8

c = 5

So the balls are in the ratio of

5*7 + 5 = 40

Answer:

Step-by-step explanation:

Can you give more information?

Answer:

do you still need an answer

A multiple of a number is a number multiplied by another number.

Considering this definition, the first three multiples of 6 are 6, 12, and 18 because it is six multiplied by 1, 2, and 3.

Similarly, the multiples of 11 are 11, 21, and 33 and the multiples of 14 are 14, 28, and 42.

The first three multiples of 6 are 6, 12, and 18, the first three multiples of 11 are 11, 22, and 33, and the first three multiples of 14 are 14, 28, and 42.

The first three multiples of a number are obtained by multiplying that number by 1, 2, and 3, respectively. For the given numbers:

These calculations are made by simply multiplying the original number by 1, then 2, then 3. It's foundational multiplication, a key concept in Mathematics.

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➷ First calculate the probability of getting it for each roll

As there is only one '4', the probability would be 1/6

Multiply this by the number of rolls:

1/6 x 54 = 9

The correct option would be 9.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

9

Step-By-Step-Solution

Ari made 1 and 5/8 total cups of fruit salad

Answer:

w^8 - 4w^7 + 6w^6  - 4w^5 + w^4 .

Step-by-step explanation:

(w - w^2)^4

= w^4 ( 1 - w)^4

By the binomial theorem:

= w^4( 1  - 4w + 6w^2 - 4w^3 + w^4)

= w^4 - 4w^5 + 6w^6 - 4w^7 + w^8

=  w^8 - 4w^7 + 6w^6  - 4w^5 + w^4 ( Standard form).

Answer:

a) t = 0.54 seconds

b) t = 8 seconds

Step-by-step explanation:

Given in the question the equation

h = 40t - 5t²

where h is height in meters

            t is time in seconds

Time it took to reach 20 meters

20 = 40t - 5t²

-5t² + 40t - 20 = 0

by using quadratic formula for factorisation

t = 0.54 (upward motion)

or

t = 7.46 (downward motion)

b) Time it took to reach the ground

at ground h = 0

So,

0 = 40t - 5t²

t(40 - 5t ) = 0

t = 0 (at starting point)

or

40 -5t = 0

5t = 40

t = 40 /5

t = 8 seconds

Answer:

A. y = 3/5 x + 3

Step-by-step explanation:

(5, 6) and (0,3)

slope = (6 - 3)/(5-0) = 3/5

and y-intercept b = 3

Equation

y = 3/5 x + 3

Answer:

A. y = 3/5 x + 3

40.7in^2

Circumference = 2pi*r

22.6 = 2*3.14*r

22.6 = 6.28*r

r = ~3.6

Using that we can find area

A = pi*r^2

A = 3.14*3.6^2

A = 3.14*12.96

A = 40.6944 which is ~40.7in^2

The area of the circular plate with a circumference of 22.6 inches is 40.69 in².

The area of a circle can be found by using the formula given below:

Area = πr²

The circumference is given as 22.6. Therefore:

Circumference = 2πr

⇒ 22.6 inches = 2πr

⇒ 22.6 inches = 2*3.14*r

⇒ r = 22.6/(2*3.14) inches

⇒ r = 3.6 inches

We can use this r to find the area. The area of a circle is given by:

A = πr²

= 3.14*3.6*3.6 in²

= 40.69 in²

Therefore we have found the area of the circular plate with a circumference of 22.6 inches to be 40.69 in².

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for a triangular prism, its volume will simply be area of its base times its length.

the are of the base for this one is simply any of those triangular bases.  Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.

[tex]\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(9)(9)}~~\cdot~~ \stackrel{\textit{length}}{(13)}\implies 9\cdot 13\implies 117[/tex]

Answer:

777:121212 is peas in her hair to peas left in her hair.

Answer:

12:7

Step-by-step explanation:

i had it on khan academy

Answer:

Step-by-step explanation:

0.005 * x = 0.625                       Divide both sides by 0.005

0.005x/0.005 = 0.625/0.005    Do the division

x = 125

So what that means is 0.625 is 125 times larger than 0.005

There were about 6001 bacteria X bring introduced into the egg salad. The number of bacteria in the food 4 hours after contamination is 63000.

To find the initial number of bacteria X introduced into the egg salad, divide the final number by (1 + growth rate)^time. For estimating the number of bacteria in the food 4 hours after contamination, multiply the initial number by (1 + growth rate)^time.

To find the initial number of bacteria X introduced into the egg salad, we can use the formula:

Initial Number = Final Number / (1 + Growth Rate)^Time

Plugging in the given values, we have:

Initial Number = 35,000 / (1 + 180%)^3 = 35,000 / (1 + 1.8)^3 = 35,000 / 3.027 = 11,542.52

To estimate the number of bacteria in the food 4 hours after contamination, we can use the same formula:

Number after 4 hours = Initial Number * (1 + Growth Rate)^Time

Plugging in the values, we have:

Number after 4 hours = 11,542.52 * (1 + 180%)^4 = 11,542.52 * (1 + 1.8)^4 = 11,542.52 * 10.4044 = 120,108.83

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