What is the first step to solve 2 (x - 2)< (1 + 2) + 5

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{5}{6}-\frac{2}{3}=\frac{5}{6}-\frac{2*2}{3*2}\\\\=\frac{5}{6}-\frac{4}{6}\\\\=\frac{5-4}{6}\\\\=\frac{1}{6}\)

Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Answer:

√21  or  4.58

Step-by-step explanation:

area of triangle can be found in different ways, and they are equal as:

1/2*x*(7+3)= 1/2*√(x²+3³)*√(x²+7²)

(10x)²= (x²+3³)*(x²+7²)

x²= y

x²=21

x=√21 = 4.58

Answer:

π r² h/3

Step-by-step explanation:

(pi x radius to the 2nd power times height divided by 3 )

π r² h/3

insert the height at the letter (h)

convert π to 3.14

insert radius at letter (r)

Answer: æą§đēğ

Step-by-step explanation:

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

4/11...................

Answer: 4/11

Step-by-step explanation:

The total number of books is 35+20=55, which will be the denominator, because the question is asking what fraction of all the books are hardcover. The number of hardcover books, 20, will be the numerator, so we end up with the fraction 20/55. 20 and 55 are both divisible by 5 (this means that when divided by 5, both numbers have a whole number quotient). 20/5= 4 and 55/5=11

So, the answer is 4/11

The price of each bag of popcorn and the price of each drink is $7.5 and $4 respectively.

Let the drinks be represented as d.

Let the popcorn be represented as p.

From the information, Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Thus will be:

6p + 4d = 65

Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. This will be:

9p + 8d = 107.50

Equating the equation

6p + 4d = 65 ..... i

9p + 8d = 107.50 ..... ii

Multiply equation i by 8

Multiply equation ii by 4

48p + 32d = 520

36p + 32d = 430

12p = 90

Divide

p = 90/12

= 7.5

6p + 4d = 65 .

6(7.5) + 4d = 65

4d = 65 - 45

4d = 20

d = 20/4 = 5

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1 kg = 1000g

1.8 x 1000 = 1800g

Answer:

2)

Step-by-step explanation:

Answer:

1)11.0, 2)88.0, 3)6.0, 4)54.0

Answer:

19/67

Step-by-step explanation:

I think this would be the answer. You add up 17,10,19, and 21, and then use the PROBABILITY of drawing the nickels which would be 19/67, im not sure tho, let me know if it works

Answer:

10x-8x=9+19

2x=28

X=28/2

X=14

14 is the answerr

Answer:

14

Step-by-step explanation:

because u bring the 8x to 10x which would be 2x. and the u bring the 19 to nine, and it would be 28. u take away the 2 and bring it to the 28, and divide it by 2. u would get 14

Answer:

The number of days the cat food will last is 8 days.

Step-by-step explanation:

In this case, it it provided that Grandmother bought enough cat food for her four cats to last for 12 days.

Assume that each cat consumes x portions of food each day.

Then the four cats will consume, 4x portions of food each day.

Then in 12 days the amount of food consumed by the 4 cats will be:

Total amount of cat food = 12 × 4x

                                          = 48x.

Now, it is provided that she on her way home she brought back two stray cats.

Then the six cats will consume, 6x portions of food each day.

Compute the number of days the cat food will last as follows:

\(\text{Number of days the cat food will last}=\frac{\text{Total amount of cat food}}{\text{Amount of food consumed each day}}\)

                                                           \(=\frac{48x}{6x}\\\\=\frac{48}{6}\\\\=8\)

Thus, the number of days the cat food will last is 8 days.

Answer:

1/4

Step-by-step explanation:

magik

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer:

Step-by-step explanation:

An equation can be set up and solved based on the relation between the two speeds and the relation between time, speed, and distance.

  time = distance/speed

Let x represent the (slower) speed on the way home. Then the total time for the round trip was ...

  time going + time coming home = total time

  270/(x +11) +270/x = 9

  30x +30(x +11) = x(x +11) . . . . . . multiply by x(x+11)/9

  x^2 -49x -330 = 0 . . . . . . . .  rewrite in standard form

  (x -55)(x +6) = 0 . . . . . . . . factor

x = 55 or x = -6 . . . . . . . solutions to this equation; x < 0 is extraneous

Justin's rate on the way there was 66 mph; on the way home, it was 55 mph.

Answer:

x= -4

Step-by-step explanation:

Answer: x = -4

Step-by-step explanation:

first, we remove the parentheses.

3x - 12 + 2x = 7x + 10 + 2x - 6

then, we cancel equal terms.

3x - 12 = 7x + 10 - 6

then, we calculate.

3x - 12 = 7x + 4

next, we move the terms.

3x - 7x = 4 + 12

then, we collect like terms and calculate.

-4x = 16

finally, we divide both sides.

x = -4

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

100

Step-by-step explanation:

In a sample size of 75 people in the Boomer Generation, proportionately, the estimated number of people who prefer to shop in-store is 63.

Proportion shows the relative number of objects or people in the whole.

Proportions are ratios equated to each other.

They are expressed as fractional values, in decimals, percentages, and fractions.

The percentage of Boomers who want to shop in-store = 84%

The sample size of the Boomer Generation = 75

The estimated number of Boomers in the sample size who want to shop in-store = 63 (75 x 84%)

Thus, 63 Boomers representing 84 percent of 75 want to shop in-store.

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Answer:

multiply 7200*12% (0.12) then multiply that answer by 52 for each week of the year

Step-by-step explanation:

7200*.12=$864.00

864*52=$44,928.00

The value of x is for the given equation is 7/2.

An algebraic expression (or variable expression) is a term that has been combined with addition, subtraction, multiplication, and division operations.

To simplify an algebraic expression, we simply combine similar terms. As a result, variables with similar characteristics will be combined. The same abilities will now be created by combining similar variables.

The given equation is 4x-(10-x) =15/2.

4x - 10 + x + 15/2

5x - 10 = 15/2

Dividing both sides by 5 to obtain:

x - 2 = 3/2

Multiply both sides by 2 to get:

2x - 4 = 3

2x = 3 + 4
x = 7/2

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Answer:

  4

Step-by-step explanation:

You want the 8th term of the geometric sequence 512, 256, 128, ....

The formula for the n-th term of a geometric sequence is ...

  an = a1×r^(n-1)

where a1 is the first term (512), and r is the common ratio (1/2).

Then the 8th term is ...

  a8 = 512(1/2)^(8-1) = 512/128 = 4

The eighth term of the sequence is 4.

Answer:

Y = 63

Step-by-step explanation:

I think if x and y are proportional when y is 90 and x is 10 then that would mean that x multiplied by 9 would equal y so:

7 x 9 = 63

Answer:

A.

Step-by-step explanation:

x-2y=4 has a x-intercept of 4, a slope of 1/2, and a y-intercept of -2. 2x+y=4 has a x-intercept of -2, a slope of 2, and a y-intercept of -4.