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DanielleElmas [232]
2 years ago
9

The total cost of 5 boxes of pasta is $13. There are 12 ounces of pasta in each box. Each box of pasta cost the same amount. Wha

t is the cost in dollars of the maximum number of boxes needed to total 48 ounces of pasta?
Mathematics
1 answer:
Bas_tet [7]2 years ago
6 0

Answer: $10.40

Explanation:

First, find the cost of 1 box of pasta. 13/5 = 2.6, so $2.60 a box.

Next, find how many boxes there are. 48/12 = 4, so 4 boxes of pasta.

Finally, multiply 4*2.6 to get the final cost.

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Solve for b, then solve for each angle in the triangle
lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

b+2b+(b+16)=180

then, solving for b, we get:

\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}

now that we have that b = 41, we can find the measure of each angle:

\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}

7 0
9 months ago
Find the l.c.m of x²+x, x²-1, x²-x​
olga2289 [7]

Answer:

X³-x

Step-by-step explanation:

Lcm

x(x-1)(x+1)

x(x²-1)

x³-x

6 0
2 years ago
Ruby wanted to get an iPod for 350$ she already had 52$ saved and if she worked for 8 hours a week for 9$ an hour how many weeks
WARRIOR [948]

Answer:

I believe that the answer is 4.13 weeks

Step-by-step explanation:

Since she already has $52 you can automatically start by doing:

$350 - $52 = $298

Since she works 8 hours a week and earns $9 per hour:

8 hours x $9 = $72

Then, take $298 ÷ $72 = 4.13 or about 4 weeks

I divide 298 by 72 because $72 is how much she will earn per week, and by dividing this number by the total amount that she has left to pay narrows it down to about how long she has to save for.

Hope this helps!!

4 0
2 years ago
I can't seem to figure out number 13, with the star. I just don't know! Help is very appreciated ☺️
katrin2010 [14]
Given:
Scale of the map 1 1/4cm : 8 yards
Rectangular Park:  width : 2 1/2 cm ; length : 6 1/4 cm
Circular Pond: pi = 3.14 ; diameter 1 1/4 cm

Convert mixed factions into fractions.
Scale 1 1/4 = (4*1+1)/4 = 5/4
Width: 2 1/2 = (2*2+1)/2 = 5/2
Length: 6 1/4 = (4*6+1)/4 = 25/4
Diameter: 1 1/4 = (4*1+1)/4 = 5/4

width / scale * 8 yds = width in yards
5/2 ÷ 5/4 = 5/2 * 4/5 = 20/10 = 2 * 8 yds = 16 yds
length / scale * 8 yds = length in yards
25/4 ÷ 5/4 = 25/4 * 4/5 = 100/20 = 5 * 8 yds = 40 yds

Area of a rectangular park = l * w = 40 yds * 16 yds = 640 yds² 
 
diameter / scale * 8 yds = diameter in yards
5/4 ÷ 5/4 = 5/4 * 4/5 = 20/20 = 1 * 8 yds = 8 yds.

radius = d/2 = 8/2 = 4
Area of a circular pond = πr² = 3.14 * 4² = 3.14 * 16yds² = 50.24 yds²

5 0
2 years ago
A gym charges a monthly fee and an additional cost for each class. Consider the graph that represents the relationship between t
bija089 [108]
For this problem you need to understand that a linear graph is a straight line (Remember Rise/Run). 
A continous function is <span>a </span>continuous function<span> is a </span>function <span>for which sufficiently small changes in the input result in arbitrarily small changes in the output, so we can already cross off that as an answer.
The Y-Intercept is the cost (in dollars), so this would be to monthly fee. 
Now, onto the rate of change. T</span>he rate of change is <span>represented by the slope of a line. So the more classes you take the more it will increase. Therefore the cost for  one class is the rate of change. 
Lastly, the cost for one class is $10. It's not, since $10 is the intial fee to belong to a gym, so this is false. 

Recap:
True
-The relationship is linear
-The y-intercept represents the monthly fee.
-The rate of change represents the cost for one class.
False
-The relationship represents a continuous function. 
-The cost for one class is $10.
I hope I've helped you, have a great day!</span>
7 0
3 years ago
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