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3 years ago

Dione has 3 rolls of pennies containing 50 coins each, 4 rolls of nickels

Mathematics

1 answer:

ankoles [38]3 years ago

3 0

Answer:

$94.50

Step-by-step explanation:

3(50)=150 $1.50

4(40)=160 160(5)=800 $8.00

5(50)=250 250(10)=2500 $25.00

6(40)=240 240(25)=6000 $60.00

60+25+8+1.5=$94.50

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This table shows a family's monthly budget. What percentage of the budget is allocated for entertainment? Round to the nearest t

lutik1710 [3]

Answer:

A)4.1%

Step-by-step explanation:

First you need to add all the payments together to get your total.

1400+300+150+800+300+150+100+100+150+200=3650

Then you cross multiply and divide to get the percentage.

$\frac{entertainment}{total}$ $\frac{150}{3650}$ = $\frac{x}{100}$

When you cross multiply and divide x≈4.1

8 0

3 years ago

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Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

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Need help solving this math question?

omeli [17]

I am so sorry but I can’t see the question because if the glare on it

4 0

3 years ago

Abdul flips a weighted coin 64 times and gets 16 tails. Based on experimental probability, how many of the next 40 flips should

sergij07 [2.7K]

Answer:

yes, Abdul should expect to come up tails.

7 0

3 years ago

What is the answer to 3 + 4 1/10

Ymorist [56]

First you can change 3 to 10/10 so that they can have the same denominator. Now, since you do that the number is now 2.

Now, do 10/10-1/10=9/10.
After do 2-4=-2.
So, your final answer is -2 9/10.

4 0

3 years ago