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kogti [31]
3 years ago
7

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies

.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

What is the greatest number of identical packages that Shaquira can make?

packages
Mathematics
1 answer:
bija089 [108]3 years ago
8 0

She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that  has identical content is 42 packages.

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What is the answer to <br> 6+0.10x=0.15x+8
asambeis [7]

Let's solve this problem step-by-step.

6+0.1x=0.15x+8

Step 1: Simplify both sides of the equation.

0.1x+6=0.15x+8

Step 2: Subtract 0.15x from both sides.

0.1x+6−0.15x=0.15x+8−0.15x

−0.05x+6=8

Step 3: Subtract 6 from both sides.

−0.05x+6−6=8−6

−0.05x=2

Step 4: Divide both sides by -0.05.

-0.05x/-0.05=2/-0.05

So, the answer for this problem is x=-40

4 0
3 years ago
Multiply 60 times 7 410, 420, 67, or 430?
DochEvi [55]

Answer:

420

Step-by-step explanation:

4 0
2 years ago
it is equally probable that the pointer on a spinner will land on any one of the eight regions. if the spinner lands on a boarde
Tamiku [17]

Answer:

1/3

Step-by-step explanation:

3 0
3 years ago
Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o
NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

  • When the facility breaks even, it would have sold 7<u>7,579 bottles of apples juice</u>.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let <em>J</em> represent the number of bottles of apple juice sold, and let <em>S</em> represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}

\displaystyle S= \frac{3}{2} \cdot J

Therefore;

\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{368,500}

Which gives;

\displaystyle  (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } =  368,500

\displaystyle  J  =   \frac{368,500 \times 4}{19}  = \frac{1474000}{19}=77578\frac{18}{19}  \approx 77,579

The number of bottles of apple juice sold, J ≈ <u>77,579 bottles</u>

Learn more about simultaneous equations here:

brainly.com/question/10724274

7 0
2 years ago
What is the solution set of x2 + y2 = 26 and x − y = 6? A. {(5, -1), (-5, 1)} B. {(1, 5), (5, 1)} C. {(-1, 5), (1, -5)} D. {(5,
Rus_ich [418]
He two equations given are
x^2 + y^2 = 26
And
x - y = 6
x = y +6
Putting the value of x from the second equation to the first equation, we get
x^2 + y^2 = 26
(y + 6) ^2 + y^2 = 26
y^2 + 12y + 36 + y^2 = 26
2y^2 + 12y + 36 - 26 = 0
2y^2 + 12y + 10 = 0
y^2 + 6y + 5 = 0
y^2 + y + 5y + 5 = 0
y(y + 1) + 5 ( y + 1) = 0
(y + 1)(y + 5) = 0
Then 
y + 1 = 0
y = -1
so x - y = 6
     x + 1 = 6
x = 5
Or
y + 5 = 0
y = - 5
Again x = 1
So the solutions would be (-1, 5), (1 , -5). The correct option is option "C".

4 0
3 years ago
Read 2 more answers
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