1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft

Answer:

63x-8<23

63x<23+8

63x < 31

63. 63

x < 0.492

Answer:

False.

Step-by-step explanation:

A trapezoid is only ONE pair of parallel sides, not two.

Answer:

2

Step-by-step explanation:

If you take 1 bus then that means leaving 13 peoplee brhind(53-40=13), so you have to take 2 buses.

53 students are going on a field trip to the museum of modern art.

Each bus holds 40 people. we need 2 buses to hold the all students.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

53 students are going on a field trip to the museum of modern art.

Each bus holds 40 people.

Total students left = 53 - 40

                               = 13

one bus can hold a number of students = 40

but we have 13 more students which are less than 40.

So, we need one more bus to hold the leftover.

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Answer:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

[tex] Median =4[/tex]

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

[tex] Median =4[/tex]

So then we can conclude that the median is unaffected by the change of 18 instead of 8

Step-by-step explanation:

For this case we have the original dataset given:

1, 8, 6, 2, 4

And the median for this dataset can be calculated with the following dataset ordered:

1,2,4,6,8

And the median can be calculated from the value in the position 3th and we got 4

[tex] Median =4[/tex]

And now using the correct dataset is: 1, 18, 6, 2, 4. And if we order the dataset we got:

1,2,4,6,18

And the median for this case again would be the value in the 3th position and we got:

[tex] Median =4[/tex]

So then we can conclude that the median is unaffected by the change of 18 instead of 8

Answer:6 years

Step-by-step explanation:

Given

A family has 3 children

Suppose the age of  middle child is [tex]x[/tex]

According to the question, Age of oldest child is [tex]=x+4[/tex]

Eldest child age [tex]=x-2[/tex]

Sum of the ages of children is [tex]26[/tex]

[tex]x+4+x+x-2=26[/tex]

[tex]3x+2=26[/tex]

[tex]3x=24[/tex]

[tex]x=8[/tex]

Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]

Answer:

Step-by-step explanation:

Given

When video is posted 5 people watched it

Next day number of viewers doubled

Suppose this trend continues i.e. No of viewers doubled each day

So on 2 nd day no of viewers is [tex]2\times 5[/tex]

On 3rd day , viewers [tex]2^2\times 5[/tex]

on n th day , viewers is [tex]2^{n-1}\times 5[/tex]

So no of viewers in 1 year i.e. on 365 day

[tex]=2^{365-1}\times 5[/tex]

[tex]=2^{364}\times 5[/tex]

(ii)Day on which 640 people seen the video

[tex]2^{n-1}\times 5=640[/tex]

[tex]2^{n-1}=128[/tex]

[tex]2^{n-1}=2^7[/tex]

Therefore

[tex]n-1=7[/tex]

[tex]n=8\ days[/tex]

Answer:

6 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

A = 3 *2 = 6 cm^2

Answer:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Price of one drink is $9.25

Step-by-step explanation:

Let the price of a bag of popcorn be p.

Let the price of a drink be d.

Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:

2p + 2d = 39 ____________(1)

Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:

8p + 10d = 174.50 _________(2)

We now have two system of equations which we can use to find the price of a bag of popcorn and drink:

2p + 2d = 39 ____________(1)

8p + 10d = 174.50 _________(2)

Multiply (1) by 4 subtract from (2):

 8p + 10d = 174.50 _______(2)

- 8p + 8d = 156    __________(1)

        2d = 18.50

=>       d = $9.25

The price of one drink is $9.25

Answer:

de choices i see are matcheing up to A not sure tho could be C

Step-by-step explanation:

codeine

Answer:

Step-by-step explanation:

Answer: The answer is given below

Step-by-step explanation:

From the question, James has a lot of games while his friend Samuel, has 4 times as many games as James.

Let the number of games James has be represented by g.

Since Samuel has 4 times as many games as James, then Samuel's game will be:

= 4 × g

= 4g

The expression for James is g.

The expression for Samuel is 4g.

Answer:

$484.06

Subtract 1084.12 from 2052.24 and that equals 968.12  then you divide that by 2

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

[tex] \frac{24}{35} [/tex]

alternative form:

[tex] 0.685714286 [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]

Answer:

what do you need help with?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as

h = 2s

The total number of hats and scarves that she wants to make is 20. This is expressed as

h + s = 20

Therefore, the system of equations that represents this situation are

h = 2s

h + s = 20

Answer: The answer is letter C

Step-by-step explanation:

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

Answer:

He can make 2 batches of lemonade with 1 pint of lemon juice.

Step-by-step explanation:

First convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To get the number of batches  that can be made with 1 pint (16 fluid ounces) of lemon juice, we can simply use proportion;

Let x be the number of batches Farid can make with 1 pint(16 fluid ounces) of lemon juice

8 fluid ounces = 1 batch

16 fluid ounces = x

cross-multiply

8x = 16

Divide both-side of the equation by 8

8x/8 = 16/8

x= 2 batches.

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

He can make 2 batches of lemonade with 1 pint of lemon juice.

Given that,

Farid uses 8 fluid ounces of lemon juice in one batch of lemonade.

We have to determine,

How many batches can he  make with 1 pint of lemon juice?

According to the question,

First, convert 1 pint to ounces

1 pint of lemon juice = 16 fluid ounces

To find the number of batches that can be made with 1 pint (16 fluid ounces) of lemon juice, the equation can be simplified by using proportion;

Let, x be the number of batches Farid can make with 1 pint (16 fluid ounces) of lemon juice.

8 fluid ounces = 1 batch

16 fluid ounces = x batch

Solving the equation by cross multiplication,

[tex]\dfrac{8}{16} = \dfrac{1}{x}\\\\8x = 16\\\\x = \dfrac{16}{8}\\\\x = 2[/tex]

Therefore, he can make 2 batches of lemonade with 1 pint of lemon juice.

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Answer:

22.6 feet

Step-by-step explanation:

Let x be the length of tree

tan(62) = x/12

x = 12tan(62)

x = 22.56871758

The height of the given tree is required.

The height of the tree is 22.57 feet.

[tex]\theta[/tex] = Angle of elevation = [tex]62^{\circ}[/tex]

s = Length of shadow = 12 feet

t = Tree height

From the trigonometric ratios we get

[tex]\tan \theta=\dfrac{t}{s}\\\Rightarrow t=s\tan\theta\\\Rightarrow t=12\times \tan62^{\circ}\\\Rightarrow t=22.57\ \text{feet}[/tex]

The height of the tree is 22.57 feet.

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The correct question is;

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. Find the probability of spinning an odd number, flipping heads, then spinning another odd number? Write your answer as a fraction in simplest form.

Answer:

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed

Step-by-step explanation:

The answer will depend on whether the spinner has an odd or even number of spaces.

Now, if we suppose that the spinner has an even amount of numbers on it, there will be an equal number of odd and even numbers.

Thus the probability of spinning an odd number is ½.

Also, the probability of flipping heads on a coin is ½.

Thus, the probability of spinning an odd number, flipping heads, then spinning another odd number is;

= ½ × ½ × ½ = ⅛

Similarly,

If the spinner has an odd amount of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 5 spaces on the spinner, the probability of spinning an odd number will be

3

However, if there are 9 spaces, the probability will be 5/9

So,we can conclude that;

If the spinner has an even number of spaces, the probability of spinning an odd number, flipping heads, then spinning a yellow is = 1/8

Whereas, if the spinner has an odd number of spaces, more information is needed.

Answer:

Step-by-step explanation:

you can answer this on photo math

Answer:

5 unit

Step-by-step explanation:

by taking the two points and calculating their distance

length of each side of the park=

sq.rt[(6.5-2.5)^2 + (0-3)^2]

=5

Answer:

x=30

Step-by-step explanation:

Sin 60 = ((√3)/2), so x=90-60. x=30.

The required value of x for function sin(90°– x)= - √3/2 is x =150°.

A function is given as sin(90°– x)= - √3/2, Value of x for the function is to be determined.

The equation contains trigonometric operators such as sin, cos.. etc. In algebraic operation.

sin(90°– x)= - √3/2
sin(90°– x) = -sin60
90°-x = sin(-60°)
90°-x = -60°
-x = -60°-90°
x = 150°

Thus, the required value of x for function sin(90°– x)= - √3/2 is x =150°.

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Answer:

50.052%

Step-by-step explanation:

Answer:

              32.1 g

            -----------     x 100%

(32.1 g + 16.0 g + 16.0 g)  

Explanation:

A P E X :)

Answer:

2/2

Step-by-step explanation:

the slope is the distance between the two dots. So for the first dot to get to the second dot is up two, and right two

Answer:

B. 2/9

Step-by-step explanation:

3/8 = 0..375

2/9 = 0.2222222222

3/10 = 0.3

5/16 = 0.3125

the repeating decimal among these is 2/9 = 0.22222222222222222, because it has a repeated decimal numbers

Answer:

A. (-1,-2)

Step-by-step explanation:

hope this helps :) and can i ask is that a leg next to the screen?

Answer:

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3?  Assume x =/ 0 y =/ 0

Step-by-step explanation:

The actual answer is B

3/5x^6y^6

on edg just took the test myself and B is the correct answer...  Good Luck!!!

The resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Given the indices expression;

[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}[/tex]

Applying the law of indices, the expression will become;

[tex]\frac{-9x^{-1}y^{-9}}{-15x^{5}y^{-3}}\\\frac{9}{15} x^{-1-5}y^{-9-(-3)}\\\frac{9}{15} x^{-6}y^{-9+3}\\[/tex]

HenceSimplify the resulting expression to have:

[tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

Hence the resulting indicinal expression will be [tex]\frac{3}{5} x^{-6}y^{-6}\\[/tex]

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Answer:

84 cars

Step-by-step explanation:

the the ratio is 7 to 2. There were 108 vehicles. 108/ 9=12

12 x 7= 84.... or at least that's how I think of it.

Answer:

I’ll help you just show me the question

Step-by-step explanation: