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3 years ago

Solve value for x. Having trouble on this question

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

8 0

Make them equal to each other because they are vertical angles.
6x-4=5x+5
x=9

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using the letters in the word FABRIC, find the number of permutations that can be formed using 2 letters at a time. show your wo

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

3 0

1 year ago

The volume of a rectangular prism is 6x3 + 25x2 + 21x − 10. The length of the prism is 2x + 5. The width of the prism is 3x − 1.

aev [14]

Expression for the height of the prism is x + 2

Solution:

Given that,

$Volume\ of\ a\ rectangular\ prism = 6x^3+25x^2 + 21x - 10$

$Length\ of\ prism = 2x + 5$

$Width\ of\ prism = 3x-1$

To find: height of prism

The volume of rectangular prism is given by formula:

$Volume = length \times width \times height$

Solving for height we get,

$height = \frac{volume}{length \times width}$

Substituting the values we get,

$height = \frac{6x^3+25x^2+21x-10}{(2x+5)(3x-1)}$

Factor the numerator

$height = \frac{(x+2)(3x-1)(2x+5)}{(2x+5)(3x-1)}$

Cancel the common factors,

$height = x + 2$

Thus expression for the height of the prism is x + 2

5 0

3 years ago

Josh mixed 2 cartons of orange juice, 3 bottles of soda waterland 6 cans of

gulaghasi [49]

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

4 0

4 years ago

Diego has a spinner with six sections numbered 1 through 6. He spins the spinner 100 times. He records the number of times the s

sesenic [268]

ANSWERS ARE IN BOLD

Each relative frequency is reasonably close to equal

A uniform probability model would be a good model to represent probabilities related to the numbers spun on Diego's spinner.

Therefore, the theoretical probability that the spinner lands on one number is likely 0.17

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3 years ago

Use the number line to compare the numbers.

aniked [119]

First of all if it is increasing then then it would start at the negative numbers. First is -1.2 second is 1/5 then it is 0.5 and finally 3/5

7 0

4 years ago