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Thepotemich [5.8K]

3 years ago

12

Eliza and Jamie are making cupcakes for a bake sale at school. Eliza need 2 1/3 c of flour for her recipe, and Jamie needs 1 3/4

c for her recipe. They have 4 c of flour. Do they have enough flour for both recipe? Explain

1 answer:

Step2247 [10]3 years ago

5 0

2 1/3 + 1 3/4 = 4 1/12
4 1/12 > 4
Hence, they do not have enough flour for both recipes.

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What is nine thousand one hundred forty five divided by 3

Galina-37 [17]

Answer:

3,315 is the answer

Step-by-step explanation:

1) Just divide

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Not hard

But here my answer!

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3 years ago

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How many terms are there in a geometric series if the first term is 4, the common ration is 3 and the sum of the series is 160

Marina CMI [18]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
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S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
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a_1=4\\
r=3\\
S_n=160
\end{cases}$

$\bf 160=4\left( \cfrac{1-3^n}{1-3} \right)\implies 160=4\left( \cfrac{1-3^n}{-2} \right)\implies 160=-2(1-3^n)
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160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
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81=3^n~~
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3 years ago

Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is

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The answer would be 3mph because 3/4 / 1/4 = 3. So the answer would be 3mph.

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a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di

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Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

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$\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}$

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

$\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}$

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

$\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}$

Thus, the total prototypes will cost around $60.75

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1 year ago

Which is greater 78.61 or78.6

ANTONII [103]

Answer:

78.61 is greater than 78.6.

Step-by-step explanation:

Adding a zero to 78.6, resulting in 78.60, makes it easier to compare 78.6 and 78.61. 78.61 is greater than 78.6.

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3 years ago