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4 years ago

6

Write an equation for the situation: There are 8 nickles and d dimes in your pocket. The nickles and dimes have a total value of

70 cents.
What is the equation?

1 answer:

sergey [27]4 years ago

8 0

The equation is 0.4+0.1d=0.7

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Sara bought a used car for $10,000. She learned from online that the value of a car depreciated 15% per year. What is the formul

Fudgin [204]

Answer:

Step-by-step explanation:

Value of Sam's car after t years =

= $=10000*(1-\frac{15}{100})^{t}\\\\=10000*(\frac{85}{100})^{t}\\\\=10000*(0.85)^{t}$

Value of Sam's car in 5 years=

$=10000*(0.85)^{5}\\\\=10000*0.4437\\\\$

= $ 4437

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4 years ago

Your school football team has 10 scheduled games for the season. You want to attend at least 4 games. How many different combina

viva [34]

24 combinations i believe

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3 years ago

At a local swimming pool, the diving board is elevated h = 9.5 m above the pool's surface and overhangs the pool edge by L = 2 m

beks73 [17]

<h2>Answer:</h2>

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}\\9.5=4.9t^{2}$

and,

$v_{x}=1.39a_{x}+2.5$

<h2>Step-by-step explanation:</h2>

In the question,

Taking the elevation of pool along the y-axis, and length of the board along the x-axis.

On drawing the illustration in the co-ordinate system we get,

lₓ = 2 m

uₓ = 2.5 m/s

and,

$h_{y}=9.5\,m$

So,

From the equations of the laws of motion we can state that,

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}$

So,

On putting the values we can say that,

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}\\9.5=(0)t+\frac{1}{2}(9.8)t^{2}\\t^{2}=\frac{9.5}{4.9}\\t^{2}=1.93\\t=1.39\,s$

Now,

The <u>equation of the motion in the horizontal</u> can be given by,

$v_{x}=u_{x}+a_{x}t\\v_{x}=2.5+a_{x}(1.39)\\So,\\v_{x}=1.39a_{x}+2.5$

<em><u>Therefore, the equations of the motions in the horizontal and verticals are,</u></em>

$s_{y}=u_{y}t+\frac{1}{2}a_{y}t^{2}\\9.5=4.9t^{2}$

and,

$v_{x}=1.39a_{x}+2.5$

6 0

3 years ago

The following is the formula for finding the area (A) of a trapezoid with height (h) and bases (b1) and (b2). A = 1/2h(b1 + b2)

charle [14.2K]

Answer:

<em>Correct choice: B</em>

Step-by-step explanation:

<u>Equation Solving</u>

The area of a trapezoid with height h and bases b1 and b2 is given by:

$\displaystyle A=\frac{1}{2}h(b_1+b_2)$

We must solve this formula for h.

First, multiply by 2 to eliminate denominators:

$\displaystyle 2A=h(b_1+b_2)$

Now, divide by b1+b2:

$\displaystyle \frac{2A}{b_1+b_2}=h$

Swapping sides:

$\displaystyle h=\frac{2A}{b_1+b_2}$

Correct choice: B

6 0

3 years ago

Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.

zaharov [31]

$\\ \sf\longmapsto tan40=\dfrac{P}{430}$

$\\ \sf\longmapsto 0.83=\dfrac{P}{430}$

$\\ \sf\longmapsto P=430(0.83)$

$\\ \sf\longmapsto P\approx361m$

P=Height of tower

5 0

3 years ago

Read 2 more answers