MATHEMATICS MIDDLE SCHOOL

Solve the following equation for t: A=P(1+rt)

Answers

Answer 1

Answer:

Answer:

A=P(1+rt)

A/P=P(1+rt)/P

A/P=1+rt

-1 -1

A/P - 1 = rt/r

A/P-1/r=t

t= __A/P - 1__

Step-by-step explanation:

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If 25% of a number is 20, what is 60% of the number

16)Use the triangle inequality theorem to determine the smallest angle in the figure.
ZSCI
ZCIS
ZCSI
Lisc

Answers

Answer:

∠CIS.

Step-by-step explanation:

This angle is opposite from the smallest side. Therefore, according to the triangle inequality, it is the smallest angle.

Portia is a designer working on creating plans for the city of Geocove's new waterpark. The graph shows her plan for a waterslide for young children. The equation that represents this line is y = -1/3x + 4. The x-axis represents the ground, and the y-axis represents one of the poles that will support the slide.Each unit on each axis represents 1 foot. Suppose that a rider coming down this slide has a horizontal change of 6 feet. What is the value of their vertical change? Explain.

Answers

$y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{3}}x+4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\n \cline{1-1} \n y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \n\n \cline{1-1} \end{array} \n\n[-0.35em] ~\dotfill$

$slope=\cfrac{\stackrel{\textit{vertical change}}{Rise}}{\underset{\textit{horizontal change}}{Run}}\hspace{5em} slope=\cfrac{\stackrel{\textit{vertical change}}{1}}{\underset{\textit{horizontal change}}{3}} \n\n\n \stackrel{ \textit{when the Run = 6, what's the Rise?} }{\stackrel{slope}{\cfrac{1}{3}}=\cfrac{\stackrel{\textit{vertical change}}{v}}{\underset{\textit{horizontal change}}{6}}}\implies \cfrac{1}{3}=\cfrac{v}{6}\implies \cfrac{6}{3}=v\implies \boxed{2=v}$

in this case the slope is -1/3, the negative part simply means the slope is going down from left-to-right, as it'd be the case in a waterslide.

Answer:

Vertical change is 2 feet.

Step-by-step explanation:

The equation of the line is $\sf y = -(1)/(3)x + 4.$

This equation can be rewritten as : $\sf y -4 = -(1)/(3)x$

If a rider coming down this slide has a horizontal change of 6 feet, then their x-coordinate will change by 6.

This means that their new x-coordinate will be 6.

We can now plug this value of x into the equation for y to find their new y-coordinate.

$\sf \sf y -4 = -(1)/(3)* 6$

$\sf y - 4 = -2$

Adding 4 on both sides

$\sf y -4+4 =-2+4$

$\sf y = 2$

Therefore, the value of their vertical change is 2 feet.

In other words, if a rider starts at the point (0, 4) on the graph, and they move 6 units to the right, they will end up at the point (6, 2).

The vertical change is 4 - 2 = 2 feet.

5 to the third power times 25

Answers

Okay, to do "powers", which is exponents, just multiply the number by itself.

So, 5 to the third power, or 5 cubed, or simply 5³, is equal to 5 x 5 x 5.

$5*5=25 \n 25*5=125$
We get 125.

Now multiply 125 by 25.
$125*5=3125$

Our final answer is 3125.

The value of expression which is expressed as "5 to the third power times 25" is 3125.

To calculate the value of the expression "5 to the third power times 25," we start by finding the value of 5 raised to the power of 3. This means multiplying 5 by itself three times: 5 × 5 × 5. The result is 125.

Next, we multiply this result by 25. Multiplying 125 by 25 gives us 3125. Therefore, the value of the expression "5 to the third power times 25" is 3125. This means that when we raise 5 to the power of 3 and then multiply it by 25, we get the final result of 3125.

Therefore, the required value is 3125.

Learn more about Expression here

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The given question is incomplete, the complete question is

What is the value of expression which is expressed as "5 to the third power times 25"?

Carlos budget $2000 to spend on a vacation.Of he spend $150 each day which expression represents how much money Carlos had left after x days ?A. 1850x dollars
B. ( 2000 - 150x) dollars
C.150x dollars
D.(2000 + 150x) dollars

Answers

Hi there! The answer to your question is B. The way I got B is because it says he has budget of $2000 and he spends $150 each day. It doesn't tell us how much days he is going on for vacation but the x represents the days he is going since it says $150 each day.

Hope I helped! :D

i'm not sure but it seems like to me it may be B.

the drama club was selling tickets to their play for $7 per adult ticket and $5 per child ticket and made $350 . They sold 10 more adult tickets than child tickets . Write system of equations that could be used to find the number of adult (A) tickets and child (C) tickets that were sold

Answers

Answer:

7a +5c = 350
a - c = 10

Step-by-step explanation:

It is convenient to use the variables "a" and "c" for the number of adult tickets and child tickets, respectively. Two equations using these two variables can be written based on the given information:

7a +5c = 350 . . . . total revenue from ticket sales

a - c = 10 . . . . . . . . 10 more adult tickets were sold

_____

Comment on the question

The solution to these equations is a=33 1/3; c=23 1/3. There is no integer solution. In real-world terms, the given relations cannot exist.

The label that wraps around a a can is 4 inches long. How wide is the can?

Answers

1.273 is the answer

bc the label is circumference and the width would be diameter

so circumference divided by pi is diameter

so 4 ÷ 3.14 = 1.273

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