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andrew11 [14]
3 years ago
7

Fred has 36 strawberries and 42 blueberries. He wants to use them to garnish desserts so that each dessert has the same number o

f berries, but only one type of berry. He wants as much fruit as possible on each dessert. How many berries will be on each dessert? How many desserts with each type of fruit will he have?
Mathematics
2 answers:
Andreyy893 years ago
7 0
6 berries on each dessert, 6 desserts of strawberries, 7 desserts of blueberries
timurjin [86]3 years ago
5 0

Answer:

There are 6 fruits in each dessert,

6 strawberry desserts and 7 blueberry desserts.

Step-by-step explanation:

Given,

The number of strawberries = 36,

Blueberries = 42,

∵ Each desserts of berries has the same number of berries but only one type of berries,

So, the number of fruits( either strawberry or blueberry ) in each dessert = HCF(36, 42)

= 6,

Now, the number of strawberry desserts

=\frac{\text{Total strawberries}}{\text{strawberries in each dessert}}

=\frac{36}{6}

= 6,

Similarly, the number of blueberries desserts = \frac{42}{6} = 7.

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What does h equal? <br> 36=4(h+2)
tekilochka [14]

Answer:

h=7

Step-by-step explanation:

Distribute the 4 on the right side

36=4(h+2)

36=4h+8

Subtract 8 on both sides

28=4h

Divide by 4 on both sides

h=7

Hope this helps! :)

7 0
2 years ago
Read 2 more answers
A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of material t
Mila [183]

Answer:

The short side is _15___ft and the long side is ___30___ ft.

Step-by-step explanation:

As fence is built in a rectangular area, so we can consider

Let

 x be the length of the rectangle  

y be width of the rectangle

Given area of rectangle is = 450 ft²

Formula for area of rectangle = Length x width  

     450 ft² =  xy  

Solve for y

y = 450/x            

now according to given condition  

three sides of the fence costs $5 per foot and for the fourth side costs$15 per foot.

We have two condition either the fourth side be x or y

So condition 1:  Three sides =(x,y,x)       4-th side = y.

So  we can write as 5x,5y,5x  and  15 y  

Cost C = 5x +5y+5x+15y

         = 10x+ 5y+15y

         = 5(2x+y) +15y----------------equation 1

           = 10x +20y

Adding value of y 450/x

        = 10x + 20(450/x)

  = 10x + 9000/x

For minimum cost, we can consider the cost to be 0

 0 = 10x + 9000/x

Dividing and multiplying by -x/x

0 = -10 +9000/x²

10 = 9000/x²

 10x² = 9000/  

 x²= 900

x = 30

so y = 450/x = 450/30= 15 ft  

so adding the values of x and y in equation 1 we will have

cost C= 5(2x+y) +15y----------------equation 1

cost is          = 5(2(30)+15) +15(15)

                      =  $600 is the cost  

X= 30 y =15

So condition 2:  Three sides =(y,x,y)       4-th side = x.

So  we can write as 5y,5x,5y  and  15 x

Cost C = 5y +5x+5y+15x

         = 5x+ 10y+15x

         = 5(x+2y) +15x----------------equation 2

           = 20x +10y

Adding value of y= 450/x

        = 20x + 10(450/x)

  = 20x + 4500/x

For minimum cost, we can consider the cost to be 0

 0 = 20x + 4500/x

Dividing and multiplying by -x/x

0 = -20 +4500/x²

20 = 4500/x²

 20x² = 4500

 x²=  4500/20= 225

x = 15

so y = 450/x = 450/15= 30 ft  

so adding the values of x and y in equation 2 we will have

cost C= = 5(x+2y) +15x----------------equation 2

cost is          = 5(15+2(30) +15(15)

                      =  $600 is the cost  

y= 30 x=15

so from both conditions satisfy the cost and the two sides are known as length and width

so dimension will be 15 ft by 30 ft  

7 0
2 years ago
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
Vladimir [108]
The answer is C hope I helped
6 0
3 years ago
What are the multiplication sentences for factors of 6?
mart [117]

Answer:

keep doubling the answer by 6

7 0
2 years ago
A.
Lorico [155]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Price of home = $220,000

Down payment = 20%

3 points at closing

30 years fixed rate mortgage at 7%

A.)The down payment :

20% of price

0.2 × $220,000 = $44,000

B.) Amount of the Mortgage :

Price - down payment

$220,000 - $44,000 = $176,000

C.) Amount to be paid for the 3 point of closing :

3% of mortgage amount

0.03 * $176,000 = $5,280

D.) monthly payment :

(mortgage amount(1 + rate)) / 30* 12

176000(1 + 0.07)

($176,000 + $12320) / 360

$523

E.) Total cost of interest :

0.07 * 176000 = $12,320

8 0
2 years ago
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