Amelie has 385 muffins that she must package into boxes. Each box must hold 9 muffins. Amelie divides 385 by 9 and gets an answer of 42 R 7.

What is the correct interpretation of R 7 for this situation?

1st one : Amelie can fill at most 42 boxes with 7 muffins each
2nd one :Amelie has 7 muffins left after filling 42 boxes.
3nd one :Amelie has 7 boxes left after filling 42 boxes.
4th one :Amelie can fill 7 more boxes after filling 42 boxes.

Answer:

(-3, 2)

x=-3, y=2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. and thats how you get your answer :)

The value of x is -3 and value of y is 2.

The given equations are:

6x + 6y=-6 ..(1)

5x + y=-13...(2)

From equation (2)

y=-13+5x..(3)

Plug in equation in equation (1):

6x + 6(-13+5x)=-6

6x-78+30x=-6

24x=-72

Divide both sides by 24:

x=-72/24

x=-3

Now put x=-3 in equation (2):

5(-3) + y = -13

-15 + y = -13

y = -13 + 15

y = 2

Hence, the value of x is -3 and value of y is 2.

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Answer:

Step-by-step explanation:

number of ways=6×5×4=120

Answer:

Step-by-step explanation:

Answer:

f(g) = -3( x^2 -x-6) -6 = -3x^2+3x+12

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

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Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

Answer:

a) 75/3=25/1

Step-by-step explanation:

Answer:

3 X 3 + 1 = 10

Step-by-step explanation:

3 times 3 gives you nine plus 1 equals 10

Two of the sides are the same (12) so the two angles at the top will also be the same, so you have two angles that are 62.

62 + 62 = 124

The three angles of a triangle need to equal 180.

X = 180-124 = 56

The answer is x = 56

Answer:

400%

Step-by-step explanation:

Original wieght = 12

New weight  = 60

Change = 60- 12= 48

Change percent =  change / original x 100 = 48 / 12 x 100 = 400 %

I hope its right!!!! :)

Answer:

$360

Step-by-step explanation:

Gains represents additions to her account while losses represent substractions

-$500

+740

+120                                                                                                                        ________

$360

Step-by-step explanation:

[tex] {2.7}^{12.2} = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95[/tex]

Answer:

it would be 540 degrease i just took the qiuz in first pd. an got it right lol

Step-by-step explanation:

it's A

between J and L it 3 units

between L and K it 4

Answer:

x > 2

Step-by-step explanation:

4x + 9 > 17

4x > 17 - 9

4x > 8

x > 2

Answer:

area of triangle=1/2 base×height=1/2 8×14=56cm²

Answer:

5)216

6)18

7)5

8)-11

Step-by-step explanation:

love the pfp

Answer:

x=216

n=18

m=5

x=-11

Step-by-step explanation:

12= x/18

Can also be written as 12=x÷18. Multiply each side by 18 to isolate x and to find the value of x.

This will cause the equation to look like 12×18=x÷18×18. This will eliminate 18 from the right side of the equation and for 12×18 to equal 216. After simplifying it will equal:

x=216

3=n/6

Can also be written as 3=n÷6. Multiply each side by 6 to isolate n in order to find the value of n.

This will cause the equation to look like 3×6=n÷6×6. After simplifying the equation by causing the 6 on the right side of the equation to cancel out and multipyling 3 and 6 together, it will equal:

n=18

-10=m+(-15)

Add 15 to each side of the equation to find the value of m.

This will cause the equation to look like -10+15=m+(-15)+15. This will cause the 15s on the right side of the equation to cancel out and for the left side of the equation to equal 5. After doing this, the equation will equal:

5=m

-7+x=-18

Add 7 to each side of the equation to isolate x in order to find the value of x.

This will cause the equation to look like -7+7+x=-18+7. This will cancel out the 7s on the left side of the equal and the right side of the equation will equal -11. After using these steps to simplify, the equation will equal:

x=-11

Answer:

yes

Step-by-step explanation:

pls give me brainlest

Answer:

x = (y - 14) / 2

Step-by-step explanation:

2x + 14 = y

2x = y - 14

x = (y-14)/2

Answer:

Any 3 trinalges

Step-by-step explanation:

total triangles= 9

1/3 of 9 = 1/3 x 9 =  3

So, shade 3 triangles

I hope im right!1

Step-by-step explanation:

There are total 9 parts of the triangle

⅓ of 9 is 3.

Therefore shade any 3 parts.

Answer:

$5909.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 5575 × 0.03 × 2 = 334.5

I = $ 334.50

The simple interest accumulated

on a principal of $ 5,575.00

at a rate of 3% per year

for 2 years is $ 334.50.

Answer:

x=-2

y=2

Step-by-step explanation:

-3x+y=8

+3x     +3x

y=8+3x

3x+5(8+3x)=4

3x+40+15x=4

18x+40=4

     -40   -40

18x=-36

x=-2

-3(-2)+y=8

6+y=8

-6     -6

y=2

Answer:

360%

if not u question isnt correct

hope this might help you

Answer: Multiply the base by the height

for example A=B x H

Step-by-step explanation:

Answer:

x- 0,3 y-10,0

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

s^2 = 34^2+16^2-2(34)(16)\cos 56

s

2

=34

2

+16

2

−2(34)(16)cos56

Plug in values.

s^2 = 1156+256-2(34)(16)(0.559193)

s

2

=1156+256−2(34)(16)(0.559193)

Square and find cosine.

s^2 = 1156+256-608.40188

s

2

=1156+256−608.40188

Multiply.

s^2 = 803.59812

s

2

=803.59812

Add.

s=\sqrt{803.59812} \approx28.348 \approx28

s=

803.59812

​

≈28.348≈28