IXL- 8th grade math W.14A person can pay $11 for a membership to the art museum and then go to the museum for just $5 per visit. What is the maximum number of visits a member of the art museum can make for a total cost of $31?

Answer In the number of visits. (Step by step if you could please I’m doing this IXL having no idea how to do these)

Answers

Answer 1

Answer:

Answer:

4 visits.

Step-by-step explanation:

First make an equation to represent the cost of the museum stuff using the formula y=mx+b

y=5x+11 would be the formula because you pay a flat fee of $11 for the membership and $5 for each visit after (x represents visits, y represents total cost)

Now we need to figure out how many visits a bill of $31 would represent.

We plug in 31 for y because y represents the total cost.

31=5x+11

Now solve for x.

Subtract 11 from both sides: 20=5x

Divide each side by 5: 4=x

Since x=4, it means that a bill of $31 would represent four visits.

Answer 2

Answer:

The maximum number of visits a member of the art museum can make for a total cost of $31 is 4 visits.

Step-by-step explanation:

Since the person must pay a membership fee of $11, we can deduct $11 from the total cost of $31.

$31 - $11 = $20

Now, we have $20 left to max out. Since each visit to the art museum is $5 per visit, we can divide 20 by 5.

$20 / $5 = 4

So the answer must be the person can make 4 maximum visits (and buy a membership) to equal $31. Hope this helps.

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The football team has 30 more members than the basketball teams. If each group had 10 more members, the ratio of their membership would be 3:2. How many members are in each group? Write your answer as football x basketball yHELP PLEASE !

Answers

x = y + 30 (I)

$(x + 10)/(y + 10) = (3)/(2)$

2x + 20 = 3y + 30
2x - 3y = 10 (II)
______________________________
2(y+30) - 3y = 10
2y + 60 - 3y = 10
-y = -50
y = 50

x = y + 30
x = 50 + 30
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Football team has 80 members, basketball team has 50 members.

What is the greatest number of acute angles that a triangle can contain?

Answers

Answer:

The greatest number of acute angle a triangle can contain are:

Step-by-step explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3 because you can have a 60 60 60 triangle

Which is the slope-intercept form of the equation y - 12 =-1/3(x- 6)?

Answers

Answer:y=-1/3x+14

Step-by-step explanation:

Final answer:

To convert the equation y - 12 = -1/3(x - 6) into the slope-intercept form y = mx + b, distribute -1/3 and add 12 to both sides to obtain y = -1/3x + 14.

Explanation:

The question is asking to convert the equation into the slope-intercept form. The slope-intercept form of an equation is given by the formula y = mx + b, where 'm' represents the slope and 'b' is the y-intercept. To transform y - 12 = -1/3(x - 6) to this form, you need to distribute -1/3 into the parentheses and add 12 to both sides.

Firstly distribute -1/3 to get y - 12 = -1/3x + 2. Then by adding 12 to both sides we get y = -1/3x + 14.

Hence the equation y = -1/3x + 14 is the slope-intercept form of the equation y - 12 = -1/3(x - 6).

Learn more about Slope-intercept form

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SAT HelpJack can paint a house in 5 days, and Richard can paint the same house in 7 days. Working together, how long will it take them to finish the job?

How do you solve this?

Answers

Well, their speeds are ( $V_1$ is Jack's speed, and $V_2$ is Richard's.
$V_1 = (1)/(5) houses/day \n V_2 = (1)/(7) houses/day \n V = V_1 + V_2 = (1)/(5)+(1)/(7) = (7+5)/(35) = (12)/(35)$
They, together, can paint 12 houses in 35 days. To get a single house, we only have to calculate $(35)/(12)$ which is very close to 3 (a bit below)

Answer:

In 7*5 = 35 days, Jack can paint 7 houses.

In 5*7 = 35 days, Richard can paint 5 houses.

So in 35 days, the two of them can paint 12 houses. To paint just one house, they'll need 1/12 the time, or 35/12 = 2 11/12 days.

Step-by-step explanation:

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Answers

Answer:

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Answers

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