write 600 as a product of it's primse factors

On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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Answer:

1

Step-by-step explanation:

Answer 1

Step-by-step explanation:

Answer:

\(y-2=3(x-4)\)

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in \(y-y_1=m(x-x_1)\).

\(y-y_1=3(x-x_1)\)

Now, substitute 4 as \(x_1\) and 2 as \(y_1\).

\(y-2=3(x-4)\)

Topic: parallel and perpendicular lines

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The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

Multiply the top which is 2. Multiply the bottom which is 24. Simplified by 2 is 1/12.

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

The son is 12, The father is 45

Step-by-step explanation:

Let x=son's age now

Then x-2=son's age two years ago

And 4(x-2)=father's age two years ago

So 4(x-2)+2=4x-8+2=4x-6=father's age now

Also x+3=son's age three years for now

And 3(x+3)=father's age three years from now

Now if we subtract 5 years from father's age three years from now, then that will equal father's age two years ago. So:

3(x+3)-5=4(x-2) get rid of parents

3x+9-5=4x-8

3x+4=4x-8 subtract 4 and also 4x from both sides

3x-4x+4-4=4x-4x-8-4 collect like terms

-x=-12 divide both sides by -1

x=12 - son's age now

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

4x-6=4*12-6=48-6=42 - father's age now

Two years ago, father was 4 time as old as his son:

4(12-2)=42-2

40=40

also

Three years from now father will only be three times as old as his son

3(12+3)=42+3

45=45

Answer:

45

Step-by-step explanation:

45 daw sagot sabi,, la

Answer:

A line is said to be perpendicular to another line if the two lines intersect at a right angle. An angle is said to be a right angle if its measure is 90 degrees.

Answer:

The ratios are proportional ratios

Answer:

Step-by-step explanation:

The ratios are proportional

\(\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}\)

The conditional probability is given as follows:

P(B|A) = 1/2, option C.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The events are given as follows:

P(B|A) is the probability that the second digit is even, considering that the first digit was odd. As the digits cannot repeat, and there will be 8 remaining digits, out of which 4 will be even, the probability is given as follows:

P(B|A) = 4/8 = 1/2.

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Answer:

D

Step-by-step explanation:

1/2 is less than .6 and still a reduction

Answer:

cant solve this problem

sorry !!

hope you understand me ☺️

Answer:

here u go hope this is right

Step-by-step explanation:

x + 779 = 900

x = 900- 779

x = 121

Answer:

51/12 - 23/4

find the LCM of 12 and 4

51-69/12= -18/12= -9/6 = -3/2 = -1.5

The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

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Answer: ravenous is a adjective

Step-by-step explanation: its the right answer giev me brainlist

It would take 15 people approximately 3.6 hours to complete the same task.

To solve this problem, we can use the concept of the work done. Work is defined as the product of the number of people and the time taken to complete a task.

Let's assume that the amount of work required to complete the task is represented by W. We know that 25 people can do the task in 6 hours, so the work done by 25 people in 6 hours is 25 * 6 = 150 person-hours.

Now, we need to find out how long it would take 15 people to do the same task. Let's represent the time taken by 15 people to complete the task as T.

Since the amount of work required to complete the task is the same, we can set up a proportion:

25 people / 6 hours = 15 people / T hours

Cross-multiplying, we get:

25 * T = 15 * 6

Simplifying, we find:

25T = 90

Dividing both sides by 25, we obtain:

T = 90 / 25 = 3.6 hours

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Answer:

y=1/4x

Step-by-step explanation:

each y is 1/4 of the x value

Answer:

Step-by-step explanation:

The answer you're looking for is A), C), and D),

Answer:

Cand E

Step-by-step explanation:

the answer is -9+n.36 and 9+n.36

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

The value of 5 digit is the ones place in 45.82 because point infront of it

Answer: The value of 5 digit is the ones place in 45.82 because point infront of it

Step-by-step explanation:

Answer:

48a^5b^7

Step-by-step explanation:

The value the land should be recorded in white repair service's records is $95,000.

It is required to find the value should the land be recorded in White Repair Service's records.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both

Given:

On May 20, White Repair Service extended an offer of $108,000 for land

sale = $140,000.

On May 30, White Repair Service accepted the seller's counteroffer of $120,000.

On June 20, the land was assessed at a value of $95,000 for property tax purposes.

On July 4, White Repair Service was offered $150,000 for the land by a national retail chain.

Cost basis is the original value of an asset for tax purposes, usually the purchase price, adjusted for stock splits, dividends, and return of capital distributions. This value is used to determine the capital gain, which is equal to the difference between the asset's cost basis and the current market value.

Therefore, the value the land should be recorded in white repair service's records is $95,000.

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Answer:

It is A, since the lines is always touching

Step-by-step explanation:

Line always touch or if the graph just has 1 line= Infinite solution

If the lines never touch or Parallel lines= No solution

If the lines touch each other once= 1 solution

Answer:

22.375" × 34" is the bigger size for a poster

Answer:

770,400

Step-by-step explanation:

770,400 seconds

Answer:

Girl's height: 3 1/3  ft

Giraffes height: 10 ft

Difference between the heights: 6  2/3

Step-by-step explanation:

Ok, so the question is  bit vague, so I'm not sure which of the following answers your are looking for, that's for you to put.

We have the girl's height.

We multiply the girl's height by 2 to get the giraffe's height.

We subtract the girls height from the giraffe's height to get the difference.