3 years ago

Please help asap!!! 19 pts

Mathematics

1 answer:

wlad13 [49]3 years ago

7 0

The correct answer is b

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Julie and Jenna are selling bracelets that they made at a craft store. They are hoping to sell 200 bracelets. If Julie can make

raketka [301]

10 since 12+8 is 20 and thats daily 200/20=10

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2 years ago

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Jamie has 79 popsicles. Vincent has seven times as many as Jamie. How many popsicles do they have all together?

maxonik [38]

(79 x 7) + 79 = 632

You first have ro find the number of popsicles Vincent has and then add the number Jamie has to it. They have a combined total of 632 whichbis D) None of the above.

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2 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]

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

$\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)
\\\\\\
160=2(3^n-1)\implies \cfrac{160}{2}=3^n-1\implies 80=3^n-1
\\\\\\
81=3^n~~
\begin{cases}
81=3\cdot 3\cdot 3\cdot 3\\
\qquad 3^4
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2 years ago

A gym has soccer balls and basketballs. The ratio of soccer balls to basketballs is 3 : 2. The number of soccer balls at the gym

lutik1710 [3]

How many soccer balls are in the gym?

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3 years ago

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For any integer x,x2-x will always produce an even value

Levart [38]

Consider expression $x^2-x.$ First, you can factor it:

$x^2-x=x(x-1).$

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, $x^2-x$ is always even.

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2 years ago