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SCORPION-xisa [38]
3 years ago
7

jill received 45 ballots from the student council election. Mr. Alvarez, the advisor drops off quite a few more and jill now has

250 ballots. homany ballots did Mr. Alvarez drop off?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer: 205

Step-by-step explanation:

Initially, Jill received ballots from the student council election =  45

After, dropping ballot by Mr. Alvarez, new ballots he has = 250

Hence, The Ballots drooping by Mr. Alvarez = new ballots Jill has - Initial ballots Jill has

=  250 - 45

= 205

Therefore, Mr. Alvarez drop off 205 ballots.

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At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals, each in the same amount.
lozanna [386]

Answer:

x=12.50

y = 17.50

Step-by-step explanation:

x = Amount of one Derek withdrawal

then amount of John withdrawal =x+5

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= 7(x) = 7x ... i

No of John withdrawal = no of times x one time withdrawal

= 5(x+5)  ... ii

Given that i and ii are equal

i.e. 7x =5(x+5)

7x = 5x+25

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x = 12.50 dollars

Y = 17.50 dollars

Checking part:

total derek withdrawal = 7(12.5) =87.50

Joh's withdrawal = 5(17.50) = 87.50

Since both are equal, our answers are right.

Solution:  Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.

8 0
3 years ago
Calculate A^2, given A=[tex]Given A=[−3 4/-2 0}
MatroZZZ [7]

Answer:

\large\boxed{A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right] }

Step-by-step explanation:

A=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] \cdot\left[\begin{array}{ccc}-3&4\\-2&0\end{array}\right] =\left[\begin{array}{ccc}(-3)(-3)+(4)(-2)&(-3)(4)+(4)(0)\\(-2)(-3)+(0)(-2)&(-2)(4)+(0)(0)\end{array}\right]\\\\A^2=\left[\begin{array}{ccc}1&-12\\6&-8\end{array}\right]

8 0
3 years ago
Wally is rebuilding his fence. Each section of the fence will have 12 vertical boards that are each eight inches wide. He’s goin
Leokris [45]

Answer:

Part A)

Each diagonal is about 9.43 feet.

Part B)

In total, Wally needs about 736.02 feet of wood.

Step-by-step explanation:

Part A)

Since each vertical board has a width of 8 inches, for one section with 12 vertical boards, the total width will be 8(12) = 96 inches.

96 inches is the same as 96/12 = 8 feet.

We are also given that the horizontal pieces will be 5 feet apart.

To find the diagonal, we can use the Pythagorean Theorem. The 8 is the base and 5 is the height. Therefore:

\displaystyle d^2=8^2+5^2

Compute:

d^2=89

Taking the square root, we acquire:

\displaystyle d=\sqrt{89}\approx9.43 \text{ feet}

So, each diagonal is about 9.43 feet.

Part B)

For each section, we have two horizontal pieces (each 8 feet) and one diagonal piece (each √89 feet).

Therefore, for one section, we will need a total of:

\displaystyle L=8+8+\sqrt{89}=16+\sqrt{89}

Then for 30 sections, we will need:

T=30(16+\sqrt{89})

Approximate:

T\approx 763. 02

Wally will need about 736.02 feet of wood in total.

3 0
3 years ago
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