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Irina-Kira [14]
3 years ago
13

A recipe of pasta makes enough for eight servings. How many servings can be made using 4/8 of each ingredient in the recipe?

Mathematics
2 answers:
Luba_88 [7]3 years ago
7 0
Four servings, half the ingredients means half the pasta.
Sedaia [141]3 years ago
4 0
You could only make 4, as that is half of the amount of materials needed to make 8.

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Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr
irina [24]

Answer:

The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

Step-by-step explanation:

As given

Sue buys 5 pieces of fabric.

Each\ piece\ is\ 1 \frac{7}{10}\ yards\ long.

i.e

Each\ piece\ is\ \frac{17}{10}\ yards\ long.

Total\ length\ of\ fabric\ sue\ buys = \frac{5\times 17}{10}\ yards

Total\ length\ of\ fabric\ sue\ buys = \frac{85}{10}\ yards

In the decimal form

Total length of fabric sue buys = 8.5 yards

As given

One yard of the fabric costs $5

Total\ cost\ of\ fabric\ sue\ buys = 8.5\times 5

                                                            = $ 42.5  

Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .


5 0
3 years ago
If a lawn measures 40 and 4/5 ft by 50 and 7/8ft how many square feet of seed will he need?
pychu [463]
So convert to improper fracitons (improper=x/y where x>y and the current one is mixed where it is in t s/f form) so

40 and 4/5=(40 times 5)/5 and 4/5=200/5 and 4/5=204/5

50 and 7/8=(50 times 8)/8 and 7/8=400/8 and 7/8=407/8

area=legnth times width
legnth =407/8
width=204/5
multiply 407/8 and 204/5

407/8 times 204/5=(407 times 204)/(8 times 5)=83028/40=2075.7 square feet

the answer is 2075.7 ft^2 of seed
6 0
3 years ago
Read 2 more answers
What is the y-intercept of the line described by the equation below?<br> y = 7x + 4
zlopas [31]

Answer:

The y-intercept is 4

Step-by-step explanation:

y=mx+b

m=the slope

b=the y-intercept

Hope this helps .-.

8 0
3 years ago
Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 b
zaharov [31]
We are given a scenario and asked to choose which graph (described verbally) represents the scenario.
Let us break down the scenario piece by piece.
The first part of the scenario is that Kent walked to the bus station. His speed will be constant so that graph will show a line sloping upward.
Next, Kent waited for the bus. This will be represented by a horizontal line.
Then, he rode the bus. This will be represented by a sloping line but steeper than the first part of the graph since the speed of the bus is greater than Kent's speed.
Finally, Kent walked to work. The graph would still be a sloping line but the slope will be less than the previous part of the graph.
So, the answer is
<span>The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.</span>
4 0
3 years ago
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