MATHEMATICS
MIDDLE SCHOOL

This year, the hotel served 35% less orange juice than it did the previous year.

How much was served this year?

Answer:

Answer: 481

Step-by-step explanation:

35% of 740

35/100 × 740 = 259

35% less than = 740 - 259

=481

Therefore 481 gallons was served this year.

MIDDLE SCHOOL

Samantha has 45books.she can pack 7 books in box how many boxes can she completely fill how books will be let

In this question, two things have been asked, but the funny thing is that the answer to both the questions can be reached following a single procedure. The information's that have already been provided in the question are:

Number of books Samantha has = 45

Number of books that can be packed in a box = 7

Number of boxes that can be packed with 7 books can be found by dividing the total number of books by the number of books in a box. also the remainder that will be left is actually the number of books that were left after packing the boxes.

Then

Number of boxes containing 7 books each = 45/7

= 6 3/7

So 6 boxes can be packed with 7 books each and 3 books will be left behind.

Number of books Samantha has = 45

Number of books that can be packed in a box = 7

Number of boxes that can be packed with 7 books can be found by dividing the total number of books by the number of books in a box. also the remainder that will be left is actually the number of books that were left after packing the boxes.

Then

Number of boxes containing 7 books each = 45/7

= 6 3/7

So 6 boxes can be packed with 7 books each and 3 books will be left behind.

MIDDLE SCHOOL

I just want to make sure I'm correct........Suppose 288 electricians took a certification test that is worth 140 points. The five-number summary for the scores is shown here. min. value = 68

Q1 = 110

median = 125

Q3 = 130

max. value = 138

About how many electricians had a score of 110 or less?

72<--------my answer

130

144

216

Yes u are correct yup

HIGH SCHOOL

Marquise has 200 meters of fencing to build a rectangular garden. The gardens area (in square meters) as a function of the gardens width w (in meters) is modeled by:

Answer: 2500 meters²

Step-by-step explanation:

Perimeter: 200 = 4w

⇒ 50 = w

Area = w²

= (50)²

= 2500

The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The perimeter of the rectangle = 2( length + Width)

200 = 2( length + Width)

100 - w = L

The area of the rectangle = length × Width

= w(100 - w)

= (-w)²+ 100w

So, (-w)²+ 100w where, a = -1 and b = 100

w = -100/2(-1)

w = 50

The area of the rectangle = (-w)²+ 100w

= (-50)²+ 100(50)

= 2500

Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

Learn more about the area;

brainly.com/question/11952845

HIGH SCHOOL

How do solve the equation 4=3a-14

3a - 14 = 4 |add 14 to both sides

3a = 18 |divide both sides by 3

a = 6

3a = 18 |divide both sides by 3

a = 6

Add 14 to both sides, giving you 18=3a

Now divide by 3 on both sides.

Your answer is a=6

Now divide by 3 on both sides.

Your answer is a=6

COLLEGE

"you have estimated a linear regression model relating y to x. your professor says, "i think that the relationship between y and x is nonlinear." how would you test the adequacy of your linear regression?"

You can construct a residual plot, plotting the x values against the values of the residuals; if there is a non-linear pattern in the residual plot then it would not be suitable to use linear regression, whilst if there is no noticeable pattern (ie. the points are randomly scattered) then the relationship is linear and a line of best fit could be appropriate.

MIDDLE SCHOOL

to make cheesecake you need about two and a half pounds of cream cheese how many pounds of cream cheese will you need to make two cheesecakes

You would need 5 pounds because 2 1/2 + 2 1/2=5

MIDDLE SCHOOL

Nocelle buys 5 peaches,3 bananas, and 4 oranges at a local fruit stand to make a fruit punch. What is the ratio of peaches to oranges?

Answer

5:4

Explanation: peaches to oranges, so 5 to 4.

5:4

Explanation: peaches to oranges, so 5 to 4.

Answer:

Step-by-step explanation:

12

COLLEGE

It’s easier to factor trinomials if we recognize patterns. True False

True because if you dont recognize patterns then there's no way that your gonna be able to factor trinomials.

HIGH SCHOOL

A side of the square is 4t. the area of the square is 400. what is the value of t?

The value of the variable 't' will be 5.

What is the area of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square will be

Area of the square = a² square units

A side of the square is 4t. the area of the square is 400. Then the value of the variable 't' will be

400 = (4t)²

(4t)² - 20² = 0

(4t - 20)(4t + 20) = 0

t = -5, 5

Thus, the value of the variable 't' will be 5.

More about the area of the square link is given below.

brainly.com/question/1658516

#SPJ6

A side is 4t so A=400=16t^2 by definition. Thus t=5 which produces an area of 400 since [4 (5)]^2=20×20=400.