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Salsk061 [2.6K]
3 years ago
7

A recipe uses 114 cups of sugar for a batch of brownies. Tommy makes 10 batches of cookies for a bake sale. How many cups of sug

ar does Tommy need? Write an equation that models the total number of cups of sugar, c, Tommy needs?
Mathematics
2 answers:
Nastasia [14]3 years ago
8 0
He needs 1140 cups of sugar. (total # of cups of sugar) = 114c
Komok [63]3 years ago
4 0

Answer:1140

Step-by-step explanation:114 times 10

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(0,4)<br> (3,-2)<br><br> The slope is m<br> and the y-intercept is b =
Rudiy27

Answer:

m = -2

y-intercept = 4

Step-by-step explanation:

m = y2-y1/x2-x1

so

m = -2-4/3-0

=-2

y=mx+b

Substitute the coordinates into the equation to find b

4=-2(0)+b

4=b

so y intercept is 4

y=-2x+4

5 0
3 years ago
Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).
marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

A=\frac{3\sqrt{3}}{2} a^2

Where A is the area of the regular hexagon

a is the side length of the regular hexagon

Also, it's Perimeter is given by:

P=6a

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Where d is the distance.

(x_1,y_1) and (x_2,y_2) are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance d)

Applying the above formula we get:

d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4

\therefore d=4

We know that this distance is the side length of the given regular hexagon.

\therefore d=a=4

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

a_{small}=4-\frac{40}{100}\times 4=2.4

Thus, the area of the smaller hexagon will be:

A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96 unit squared

and the new smaller perimeter will be:

P_{small}=6a_{small}=6\times 2.4=14.4 unit

Which are the required answers.

5 0
3 years ago
Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each mo
Mnenie [13.5K]

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

100*3 + 100*2 + 160*1 = 660

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in brainly.com/question/10693932

6 0
3 years ago
A 12 ounce bottle of cleaner cost $3.74 a 16 ounce bottle of cleaner cost $5.34 which bottle would be the best spot which cost l
Valentin [98]

Answer:

12 ounce bottle

Step-by-step explanation:


12 x 3 = 36

16 x 5 = 80

So, that means the 12 ounce bottle is cheaper. :)


5 0
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A recipe calls for chocolate chip in a ratio of 1 cup of white chocolate chips to 2 cups of white chocolate chips how many milk
HACTEHA [7]
You have 1:2 and then you have _:6 so you would divide 6by 2 and get 3. 3:6
4 0
3 years ago
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