PLEASE HELP!!! 25 POINTS!!
Simon builds this podium on a platform.


What is the combined volume of the podium and the platform?


Enter your answer in the box.

Answer:

3

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

1/2 + 1/4

= 0.5 + 0.25

= 0.75

= 75/100

= 3/4

Quarter is 1/4.

3/4 can be written as 3 x 1/4

Hence,

1/2 + 1/4 is 3 times 1/4

1/2 + 1/4 = 3 quarters.

Answer:

3/4

Step-by-step explanation:

1*(1/2)= (2/2)*(1/2)= (2*1)/(2*2)=2/4

1/2+1/4=2/4+1/4=3/4

Answer:

The answer is 28. It is easy.

The equivalent to the length of the string in meters is 14 / 5 meters

The length of the string is expressed in a mixed fraction form.

length of the string = 2 16 / 20

let's express it in a simplified form. This is usually in an improper fraction form.

Therefore,

2 16 / 20 = 56 / 20

Hence,

56 / 20 = 14 / 5 meters

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Answer:

This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.

For example:

1 meter - 100 centimeters

2 meters - 200 centimeters

3 meters - 300 centimeters

4 meters - 400 centimeters

Hope this helps!

Answer:

57   mean

Step-by-step explanation:

x = mean

(x - 49 )  = 2 ( 61 -x)

x = 57

We will see that there are 156,000 different combinations, so the correct option is C.

First, we need to find the selections, here we have:

Now we need to find the number of options for each of these selections.

We assumed that the number can be any integer from 0 to 9.

The total number of possibilities is equal to the product between the numbers of options, we will have:

P = 26*25*24*10 = 156,000

So, the correct option is C.

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If Lacey starts baking her cookies right away, then the time is taken for her to have made as many cookies as Clay will be 1.5 hours.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Clay and his friend Lacey are making cookies for the school dance.

Clay started early and has already made 3 dozen cookies.

He can make an additional 2 dozen cookies an hour.

Lacey has not started making cookies yet, but she has a bigger oven and can make 4 dozen cookies an hour.

Let y be the number of the cookies (in dozen) and x be the number of the hours.

Then the equations will be

y = 2x + 3 ...1

y = 4x       ...2

If Lacey starts baking her cookies right away, then the time taken for her to have made as many cookies as Clay will be

From equations 1 and 2, we have

2x + 3 = 4x

     2x = 3

       x = 1.5

Then the number of hours will be 1.5 hours.

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Answer:

hope this help you

Step-by-step explanation:

[tex] \cos(y) = \frac{b}{h} \\ \cos(y) = \frac{8}{12} \\ y = \cos {}^{ - 1} ( { 0.6666}^{ } ) \\ y = 48.19[/tex]

Answer:

actually its A... i know cause i got it WRONG

Step-by-step explanation:

The gross profit margin for Korey’s Comics given the net sales, gross profit and net income is  76.3%.

Gross profit margin is a profitability ratio. It is used to measure the financial health of a company and used to determine the efficiency with which the firm generates profits.

Gross profit margin = gross profit / net sales

3320 /3320 = 76.3%

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Answer:

x = 40°

Step-by-step explanation:

using the cofunction identity

cos(90 - x) = sin x , so

90 - x = 50 , then

x = 40

that is sin40° = cos50°

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

By squaring the sum of two variables identity ~

[tex]\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]

Now, plug in the given values ~

[tex]\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 18 - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 8[/tex]

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

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The correlation coefficient is 0.92

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.

In other words, it reflects how similar the measurements of two or more variables are across a dataset.

When one variable changes, the other variables change in the same direction or opposite direction.

Perfect positive correlation :When one variable changes, the other variables change in the same direction.

Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.

[tex]\rm r = \dfrac{\sum (x_{i}-x')(y_{i}-y')}{\sqrt {\sum (x_{i}-x')^{2} \sum (y_{i}-y')^{2}}}[/tex]

After calculation we get

r = 0.92

Therefore it is a Perfect positive correlation

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Answer:

x = 9

y = 116

Step-by-step explanation:

116 and y are vertically opposite angles.

Vertically opposite angles are equal.

So,

y = 116

116 and ( 13x - 53 ) are linear pair angles.

Sum of linear pair angles is 180,

13x - 53 + 116 = 180

13x + 63 = 180

Subtract 63 on both sides,

13x = 180 - 63

13x = 117

Divide 13 on both the sides,

x = 117 / 13

x = 9

1. x=9

2. x=1

3. s=2

4. s= 2.5

5. s=6

6. T=5/6

7. x=1

8. y=2

9. x=120

10. x=16/13

11. x=-4

12. s=7

13. x=2

14. x=2

15. t=97/5

16. x=5/2

17. x=-70/3

Answer:

64:125

Step-by-step explanation:

When you go from a length ratio to an area ratio you need to square the numbers involved: [tex]4^{2} :5^{2}[/tex] = 16 : 25

By the same logic, if you want to go from length to volume you need to cube the numbers involved: [tex]4^{3} :5^{3}[/tex] = 64 : 125

Using the t-distribution, it is found that the 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 225 - 1 = 224 df, is t = 1.6517.

The other parameters are given as follows:

[tex]\overline{x} = 48.5, s = 1.8, n = 225[/tex].

Hence the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 48.5 - 1.6517\frac{1.8}{\sqrt{225}} = 48.3[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 48.5 + 1.6517\frac{1.8}{\sqrt{225}} = 48.7[/tex]

The 90% confidence interval is (48.3, 48.7), hence 48.8 is not within the interval.

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Answer:

x < & = -23/2

Step-by-step explanation:

Let a number be x.

Twice a number = 2x

2x - 3 = -26 and 2x - 3 < -26

2x = -23 and 2x < -23

x = -23/2 and x < -23/2

Answer:

The value of 4x-x + 5 when x + 3 is 14

Step-by-step explanation:

4(3)= 12 - 3= 9 + 5= 14

The value of 4x - x + 5 when x = 3 is 14.

To find the value of 4x - x + 5 when x = 3, we substitute the value of x into the expression and simplify.

Plugging in x = 3, we have:

4(3) - 3 + 5

Now let's simplify each term:

4(3) = 12

-3 = -3

Now we can substitute the simplified terms back into the expression:

12 - 3 + 5

Next, we perform the addition and subtraction in order from left to right:

12 - 3 = 9

9 + 5 = 14

Therefore, the value of 4x - x + 5 when x = 3 is 14.

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Answer:

It is 15 m long.

Step-by-step explanation:

Given

width (b) = 20 m

Area of the floor (A) = 300 m^2

Length (L) = ?

we know

A = L * b

300 = L * 20

L = 15 m

Hope it will help :)

Answer: The date tree is 3 times as tall as the lemon tree

Step-by-step explanation:

There are two trees.

Date tree = unknown height

Lemon tree = 8 feet

Equation

? = 3 x 8

We can assume that the 8 in the equation is the height of the lemon tree since it was already given. The equation's purpose is to find the height of the date tree resulting in 3 times 8 which is 24.

If we compare their heights, we can say that the date tree is 3 times taller than the lemon tree since 24 is 3 times greater than 8.

Let's see

3x is one factor

#2

Mass of 1000 protons

Answer:

22.  (3)  x - 3

23.  (4)  [tex]1.67 \times 10^{-21}\: \sf g[/tex]

Step-by-step explanation:

Given expression:

[tex]3x^2-9x[/tex]

Factor out common term [tex]3x[/tex]:

[tex]\implies 3x \cdot x - 3 \cdot 3x[/tex]

[tex]\implies 3x(x-3)[/tex]

Therefore, the two factors are  [tex]3x[/tex]  and  [tex]x-3[/tex]

[tex]\textsf{Mass of 1 proton}=1.67 \times 10^{-24}\: \sf g[/tex]

[tex]1000=10 \times 10 \times 10=10^3[/tex]

[tex]\begin{aligned}\implies \textsf{Mass of 1000 protons} & = \textsf{mass of 1 proton} \times 1000\\& =(1.67 \times 10^{-24}) \times 1000\\& =1.67 \times 10^{-24}\times 10^3\\ & =1.67 \times 10^{-24+3}\\ & = 1.67 \times 10^{-21}\: \sf g\end{aligned}[/tex]

The total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the number of adult tickets is x

So the number of student tickets is (x-73)

x + (x-73) = 337

2x—73 = 337

2x = 410

x = 205 tickets

Thus, the total number of adult tickets sold for the school play is 205 tickets if the total of 337 tickets were sold for the school play.

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Answer:

  10 units

Step-by-step explanation:

Compare the given equation to the standard-form equation for a circle to identify the relevant dimension.

The equation of a circle is written in standard form as ...

  (x -h)² +(y -k)² = r² . . . . . . . centered at (h, k) with radius r

__

Comparing this to what you are given, you see that ...

  h = -25/4

  k = 0

  r² = 25

The radius is ...

  r = √25 = 5

The diameter is twice the radius, so is ...

  d = 2r = 2(5)

  d = 10

The diameter of the circle is 10 units.

Answer:

292,968

Step-by-step explanation:

Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)

exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5

Step-by-step explanation:

The expression that shows the granola bars Todd bought is 12g.

The algebraic expression stands for the mixture of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Given: Todd bought g boxes of granola bars.

There are 12 granola bars in each box.

Let g be the boxes of granola bars.

Therefore, the expression that shows the granola bars Todd bought is 12g.

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