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3 years ago

At a zoo, 7 monkeys ate 35 bananas in one day. At

Mathematics

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer: 105

Step-by-step explanation: 35 divided by 7 = 5 , so one monkey eats 5 bananas. 21 x 5 = 105

Hope this helps!

lana66690 [7]3 years ago

8 0

Answer:

105 bannanas

Step-by-step explanation:

Because if 21 is 3 times more than 7 then you have to multiply 35 times 3 to get the amount of bannanas 3 times more monkeys can eat.

Have a great day!

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

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3 years ago

An arithmetic sequence with a third term of 8 and a constant difference of 5

Vanyuwa [196]

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\ \hrulefill\\[0.5em] a_3=8\\ n=3\\ d=5 \end{cases} \\\\\\ a_3=a_1+(3-1)5\implies 8=a_1+(2)5 \\\\\\ 8=a_1+10\implies -2=a_1 \\\\\\ \begin{cases} a_1=-2\\ d=5 \end{cases}\implies a_n=-2+(n-1)d$

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3 years ago

Solve for x: 18 = x/4 + 7

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3 years ago

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A 34-inch piece of wood is 2.4% of a longer piece of wood. How long is the longer piece of wood? Show your work. You can use pro

riadik2000 [5.3K]

Think of this as a proportion: 2.4 is to 100, as 34 is to L ("L" for "Long piece.")

Cross multiply to get 2.4 L = 3400, then divide both sides by 2.4 to be left with

L = 3400/2.4, so

L = 1416.666...

So the longer piece of wood is 1,416.66... inches long.

Hope this helps!!:)

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3 years ago

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zavuch27 [327]

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Step-by-step explanation:

The question given is;

$\frac{y^{\frac{3}{4} } }{y^{\frac{1}{2} } }$