find the volume of the sphere

Answer:

1. 2x=5

Divide both by 2, x=2.5

2. y+1.8=14.7

Subtract 1.8 from both sides to isolate the variable, x=12.9

3. 6=1/2z

Multiply each side by 2 to isolate the variable, 12=z

4. 3 1/4 = 1/2+w

Isolate the variable by subtracting 1/2 to both sides, 2 3/4 = w

5. 2.5t=10

Divide each side by 2.5 to isolate the variable, t=4

Step-by-step explanation:

( 100 / 88 ) * 924 = original price

( 100 / 88 ) * 924 = $1050

Answer:

3.

a) There are 1, 2, 3, 4, 5, 6 outcomes.

b) There are 3 odd numbers on this die, and they are: 1, 3, and 5

c) There are 3 even numbers on this die, and they are: 2, 4, and 6

4.

a) There are 3 possible outcomes, green, blue, and red

b) There is a 1/3 chance of getting a red, because there is one red out of three possible outcomes.

c) P(R ∪/or G) = P(R) + P(G) - P(R ∩/and G)

replace those with actual values;

P(R or/∪ G) = 1/3 + 1/3 - (1/3 x 1/3) = 2/9

d) There are 2 other colors besides red out of 3, so therefore it is a 2/3 chance

e) The probability of getting a yellow is not mentioned therefore it is impossible.

5.

a) There are 7 possible outcomes

b) There is only one 6 in the spinner out of 7 numbers, so it will be a 1/7 chance

c) There is no 8 mentioned in this spinner, hence this event is impossible.

d) P(2 ∪/or 4) = P(2) + P(4) - P(2 ∩/and 4)

replace them with actual values;

1/7 + 1/7 - (1/7 x 1/7) = 13/49

e) There are 3 even numbers in the spinner, so it is a 3/7 chance

f) There are 4 odd numbers in the spinner, so it is a 4/7 chance

g) There are 8 marbles in a bag, what is the probability of getting a marble? The event has to be certain if you're getting a probability of 1.

6.

a) There are 5 possible outcomes.

b) There is one "T" in the word 'maths', so it would be a 1/5 chance of getting a t since there are 5 letters in total. Though, they want it in decimals so 1/5 = 0.2

c) There are 4 consonants in the word 'maths', so it would be a 4/5 chance of getting a consonant. Though, they want it in decimals so: 4/5 = 0.8

d) There are 3 letters in both 'tame' and 'maths', so 3 letters out of 5 letters (3/5) could be a letter used in 'tame' from 'maths'. Though, they want  a percentage so: 3/5 = x/100, solving for x would equal 60%.

Answer:

30 cakes

Step-by-step explanation:

For one cake alone, find a common denominator (which is 6). So [tex]2\frac{2}{3}[/tex] ([tex]\frac{8}{3}[/tex]) is equal to [tex]\frac{16}{6}[/tex] cups. [tex]\frac{1}{2}[/tex] is [tex]\frac{3}{6}[/tex] cups.

So for one cake, it takes [tex]\frac{19}{6}[/tex] cups of flour. Henry has [tex]\frac{570}{6} = 95[/tex] cups of flour.

If you divide the 570 by 19, Henry can make 30 cakes.

To draw the possible box make sure to follow the conditions required and organize the information.

This is a type of chart that displays the data obtained by comparing two categories or elements. In this case, the goals of two different teams.

Read the prompt carefully.

Identify any conditions. For example, in this case, the number of goals obtained by the team warriors should be higher.

Organize the information in a chart.

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The value of the 24th term is 16.

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

learn more on arithmetic progression here; https://brainly.com/question/9882454

There are 63 students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.

A Venn diagram is a graphic that employs circles to depict connections between objects or finite groups of objects.

Circles that overlap share characteristics, but circles that do not overlap do not.

In the Venn diagram the following data is observed;

Chemistry - 9                                          

Biology - 11                                            

Physics - 7                                            

Biology+Chemistry- 5

Biology+Physics - 4

Physics+Chemistry -6

Physics+Chemistry+Biology-3

None of the three - 18

Total -- 63      

We can clearly see from the table that the grand total of the table of data is the total number of pupils in the senior class. In other words, the total number of people is 63.

In addition, there are 7 students who are taking chemistry and biology but not physics.

The number of students who do not take science is equal to the number of students who do not take biology, chemistry, or physics, i.e. the 18 students outside the circle.

There are 63 students are in the 2015 senior class

There are 5 students who are taking chemistry and biology, but not physics.

There are 18 students who are not taking science.

Hence there are 63  students are in the 2015 senior class, 5 students who are taking chemistry and biology, but not physics, and 18 students who are not taking science.

To learn more about the Venn diagram refer to the link;

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The radius of the cylinder will be  [tex]r=2.25ft[/tex]

It is given that

[tex]Volume of the cylinder = 400 ft^{3}[/tex]

[tex]height of the cylinder= 25 ft^{3}[/tex]

Now we know that

[tex]Volume of the cylinder = \pi r^{2} h[/tex]

putting values in the formula

[tex]400= \pi \times r^{2} \times25[/tex]

[tex]r= \dfrac{4}{\sqrt{3.14} }[/tex]

[tex]r=2.25 ft[/tex]

Thus the radius of the cylinder will be  [tex]r=2.25ft[/tex]

To learn more about the Volume of the cylinder follow

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Answer:

17.2 x 17.2 =area of base. ( B x H) = 295.84

295.84 x 24.4 (perpendicular height) = 7218.496

7281.496 x 1/3 ( or divide by three) = 2406.1653

Not sure how many dp you need.

Answer: Look at description please

Step-by-step explanation:

Nancy would be 4 years old

Make the equation

7n-3=25

add 3 to both sides

7n=28

n = 4

Therefore making Nancy 4 years old.

*Let me know if I am worng*

Hope this helps :)

Angel is 3 years younger than seven times Nancyś age and if Angel is 25 then Nancy is 4 years old.

Two or more expressions with an Equal sign is called as Equation.

Given that Angel is 3 years younger than seven times Nancyś age.

Let N be Nancy's age.

We know that Angel's age is 7N - 3.

We also know that Angel is 25.

So we can set up the equation: 7N - 3 = 25.

7N-3=25

Add 3 on both sides to isolate N

7N=28

Divide both sides by 7

N=4

Hence, if  Angel is 25 then Nancy is 4 years old.

To learn more on Equation:

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#SPJ2

Answer:I don know

Step-by-step explanation:

Yor welcome

Answer:

$120, 5w+100

Step-by-step explanation:

Josue starts with $100 and earns $5 a week over 4 weeks. That means you multiply 5 by 4 to get $20 dollars earned over 4 weeks. Then you add that to how much money he already has 100+20=$120 after 4 weeks. To get an expression, we have to take the amount of weeks and multiply it by 5 to show the 5 dollars he earns every week (5w) and then add the 100 dollars he already has to it, which gives us 5w+100.

Answer:

Point C

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

The answer is Point C

Step-by-step explanation:

Where they first intersect is point C  A intersection is a point or line common to lines or surfaces that intersect.

Hope this helps mark brainiest please :)

Answer:

8.5 miles per day

Step-by-step explanation:

divide 425 by 50 and boom u got the answer

Let that be x

ATQ

[tex]\\ \rm\Rrightarrow 3x-6/5=9[/tex]

Arrange accordingly to work backwards(Every thing is reversed)

[tex]\\ \rm\Rrightarrow 9(5)+6/3=x[/tex]

[tex]\\ \rm\Rrightarrow 45+6/3=x[/tex]

[tex]\\ \rm\Rrightarrow 51/3=x[/tex]

[tex]\\ \rm\Rrightarrow x=17[/tex]

.

Answer:

No

Step-by-step explanation:

7997

Answer:

Step-by-step explanation:

Rewrite without absolute value for the given conditions:

1) y = |x−3|+|x+2|−|x−5|, if x > 5

  y = x-3 + x + 2 - (x-5)

  y = x + 4

2) y = |10-x|, if x<10

   y = 10 - x

In both cases, the value of x is held to values that make the absolute value notation redundant, so they can be removed.

===============

Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:

1) All numbers such that x≤5

x≤5 kinda does it for me.  X can be any number less than or equal to 5.  Ta da. (?)

2) All numbers such that x≤−14.

x ≤ -14

Same comment.  I'm not sure what is being asked.

Answer:

y>6

Step-by-step explanation:

^^

Answer:

y > 6

Step-by-step explanation:

3 x [tex]\frac{y}{2}[/tex] - 4 > [tex]\frac{4}{5}[/tex] + 7 x [tex]\frac{y}{10}[/tex]

---

Subtract 7 [tex]\frac{y}{10}[/tex] from both sides

3 x [tex]\frac{y}{2}[/tex] - 4 - 7 x [tex]\frac{y}{10}[/tex] - 7 x [tex]\frac{y}{10}[/tex] (simplify) -> [tex]\frac{4y}{5}[/tex] - 4 > [tex]\frac{4}{5}[/tex]

Add 4 to both sides

[tex]\frac{4y}{5}[/tex] - 4 + 4 > [tex]\frac{4}{5}[/tex] + 4 (simplify) -> [tex]\frac{4y}{5}[/tex] > [tex]\frac{24}{5}[/tex]

Mulitply both sides by 5

[tex]\frac{5x4y}{5}[/tex] > [tex]\frac{24 x 5}{5}[/tex] (simplify) -> 4y >24

Divide both sides by 4

[tex]\frac{4y}{4}[/tex] > [tex]\frac{24}{4}[/tex] (simplify) -> y > 6

Answer:

its false

Step-by-step explanation:

Answer:

Isolate the mDivide both sides by 8:Simplify the fraction:Find the greatest common factor of the numerator and denominator:Factor out and cancel the greatest common factor:

Then you get m=1/2

Step-by-step explanation:

Answer:

7  13/24 miles

Step-by-step explanation:

First reduce 11/6 into 1 5/6

Then add them all together to get 7  13/24

Answer:

The total would be 6 7/8 miles.

Step-by-step explanation:

Hope this helps :)

Answer:

Least to greatest: (D), 6/25, 0.243, 24.5%,

Step-by-step explanation:

6/25=0.240

0.243=0.243

24.5%=0.245

Answer:

What are we supposed to find

Answer:

1. 360 miles

2. 1.5m/m

3. 4 hours

Step-by-step explanation:

1. d (distance) = v (speed) x t (time)

d = 120 x 3

d = 360

2. v = d/t

v = 6/4

v = 1.5

3. t = d/v

t = 200/50

t = 4

Answer:

Step-by-step explanation:This particular answer works out to be undefined because it is a straight line and there is no slope and no equation for it. I will show you how to work it out though so you will know how to do it with other problems. We will still be using the y = mx + b formula. First step is to find m. In order to find the slope we would use the equation:

m = (y2 - y1) / (x2 - x1) Note: The number behind the letter designates which x or y value you will use of the 2 (x, y) plots

m = (-5 - 2) / (3 - 3)

m = -7 / 0 Note: A number divided by 0 is undefined which means your slope is undefined

Since your slope is undefined your equation would be x = 3 because your x values are both 3.

Now let's assume your second (x, y) plot was actually (-3, -5).

m = (-5 - 2) / (-3 - 3)

m = -7 / - 6 Note: A negative divided by a negative is a positive. The negatives cancel each other out.

m = 7/6

Okay now back to our slope-intercept formula.

y = 7/6x + b

Now in order to figure out what b is, we will again take the plot point and plug the values into the equation. You can use either point because either way the answer will come out the same. In this case we will use (3, 2).

2 = 7/6(3) + b

2 = 21/6 + b Note: The easiest way to do the next part is to make the 2 into a fraction over 6

12/6 - 21/6 = b

-9/6 = b or -3/2

So now all we have to do is plug this value into our equation.

y = 7/6x - 3/2

Answer:

5.12$

Step-by-step explanation:

I know this because when your dealing with 20% think of it like 1/5.

Know 1/5 of 25.60 is 5.12 how I can calculate this is by timesing 5.12 by 5.

Here is what is would look like.

5.12 x 1=5.12$

5.12 x 2=10.24$

5.12 x 3=15.36$

5.12 x 4=20.48$

5.12 x 5=25.60$

And there's your answer(the last one by the way:))

If you want another example based upon 1/5 and 20% then say they were

30 cows and 30 horses 1/5 of them or 20% of them are sitting how many are sitting.

And since it is 1/5 what times 5 would=60 ?

It would be 12 so 20% of 60 is 12, do you understand what I am saying.

Hope this helps have a great day:)

Answer:

WY = 180

Step-by-step explanation:

the diagonals of an isosceles trapezoid are congruent , so

ZX = WY , that is

8y - 4 = 7y + 19 ( subtract 7y from both sides )

y - 4 = 19 ( add 4 to both sides )

y = 23

Then

WY = 7y + 19 = 7(23) + 19 = 161 + 19 = 180

Answer:

x>1

Step-by-step explanation:

In order to do this, we can take the inequality:

3+2x>5

now there are constants on both sides meaning we can combine them like the following:

3+2x>5

-3      -3

------------

2x>2

Now we can simplify

2x/2>2/2

therefore, the answer is x>1

In order to graph this on a line you would need to put in a circle which is not filled in because x isn't equal to and greater than 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.

You would put this line to the right of 1

o----------->

1 2 3 4 5 6

that is how the line would look like

Answer:

y=-1/2x+2

Step-by-step explanation:

First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.

Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2