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3 years ago

To make 2 batches of nut bars, Jayda needs to use 4 eggs. How many eggs are used in each batch

Mathematics

2 answers:

madreJ [45]3 years ago

6 0

Answer:

2 eggs

Step-by-step explanation:

So to make 2 batches of nut bars you will need 4 eggs. So if you are only making one how many eggs will you need? 2 of course!

Maru [420]3 years ago

3 0

There would be 2 eggs used in each batch

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A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

3 years ago

{5,9,13,17,21,25,...}<br>How to write condition?

Mariana [72]

Answer:

Step-by-step explanation:

is an arithmetic progression with ratio=4

a1=5

a2=a1+4=5+4=9

a3=a2+4=9+4=13

...............

a n+1 = a n+4

4 0

4 years ago

Read 2 more answers

In a hall, there are 75 chairs. Out of these 60% are plastic and 40% are metal. Find the number of chairs of each type ?

poizon [28]

Answer:

plastic = 45

metal = 30

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

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4 years ago

Mr. Rodriguez works in a store. He wants to arrange 12 toys in a display shaped like a rectangular prism. The toys are in cube-s

Vilka [71]

To find the different ways to display the boxes, you will find all the different ways you can make an array of 12.

12 x 1 and 1 x 12
2 x 6 and 6 x 2
3 x 4 and 4 x 3

There are 6 possibilities.

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3 years ago