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stiks02 [169]
3 years ago
5

Becky needs to make cookies for a school bake sale. The cookies need to be distributed evenly on 2 or more plates. If each plate

gets at least 7 cookies, what are all of the possible combinations for 3 1/2 dozen cookies? Write all 3 possible answers. (no broken cookies allowed)
Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

We can take 2 plates , 3 plates or 6 plates.

Step-by-step explanation:

1 dozen = 12 numbers

Total number of cookies = 42

Each plate has to get atleast 7 cookies ,all the plates should have the same number of cookies and also the number of plates must be greater than or equal to 2.

  • If we take 2 plates , there can be 21 cookies in each.
  • If we take 3 plates , there can be 14 cookies in each.
  • If we take 6 plates , there can be 7 cookies in each.

These are the 3 possible cases.

Since there cannot be broken pieces, no other combination is possible.

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Piper claims that 3(2a + 2) is equivalent to 5a + 6. She checks her claim by substituting -3 for a. Is Piper's claim correct? Wh
Paha777 [63]

Answer:

Piper's claim is not correct.

Step-by-step explanation:

3(2(-3)+2) = 5(-3)+6

3(-6+2) = -15 + 16

-18 + 6 = 1

-12 = 1

6 0
2 years ago
Help me on this one please hellppp
katrin [286]

Answer:

smh-

Step-by-step explanation:

6 0
2 years ago
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could
White raven [17]

Answer:

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

Step-by-step explanation:

Let 'x' be the number of rocks George had.

As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks

It means after getting 5 new rocks George's total rocks = 72

Given that he gave half collection to Susan = 36

Thus, before inducting 5 new rocks Georg's total rocks were = 67

Thus,

1/2 (x+5) = 36 should be the correct equation.

solving

1/2 (x+5) = 36

Multiplying both sides by 2

1/2 (x+5) × 2 = 36 × 2

x+5 = 72

x = 72 - 5

x = 67

Thus, before getting 5 new rocks, the number of rocks George had = 67

Therefore,

1/2 (x+5) = 36  should be the equation that is used to determine how many rocks George started with.

7 0
2 years ago
Read 2 more answers
Can anyone help me with this?
Vika [28.1K]

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

                                    ^ ( note that we just created an equation that we can      

                                        use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540  

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51

3 0
2 years ago
Julie was given a new map of New Hampshire to calculate some distances. The scale is 1 inch = 50 miles. How far is Conway from L
Aloiza [94]

Answer:

Conway is 312.50 miles from Littleton

Step-by-step explanation:

Given

Scale: 1\ in = 50\ mi

See attachment

Required

Distance between Conway and Littleton

The scale distance between Conway and Littleton is 6.25 inches.

So, the actual distance is calculated as:

1\ in = 50\ mi

Multiply both sides by 6.25

6.25 * 1\ in = 50\ mi * 6.25

6.25\ in = 312.50\ mi

<em>Hence, Conway is 312.50 miles from Littleton</em>

7 0
2 years ago
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