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kati45 [8]
3 years ago
12

Martha wants to go to band camp this summer that costs $103.50 she has $10 and plans to save $5.50 each week. How many weeks wil

l it take her to save the money? In algebra pls
Mathematics
1 answer:
Virty [35]3 years ago
5 0

Answer:

19 weeks

Step-by-step explanation:

You'll be looking for an equation the form of

y=mx+b

Given:

b = $103.50

m = $5.50

x = ? (where x is in weeks)

Next, set y = 0

--> mx+b = 0

Rearrange

x = (-b/m)

Plug in b and m:

x = (-(-103.5)/5.5) = 18.818

Rounding up, it will Martha 19 weeks to save enough money.

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Cube-shaped blocks are packed into a cube-shaped storage container. ​ The edge length of the storage container is 212 feet. The
igor_vitrenko [27]

Answer:

The volume of cube-shaped block is 0.125 cubic feet.

Step-by-step explanation:

We are given the following in the question:

Edge length of storage container =

2\dfrac{1}{2}\text{ feet}

Edge length of block =

\dfrac{1}{5}\times \text{Edge length of container}

Putting value we get,

Edge length of block =

\dfrac{1}{5}\times 2\dfrac{1}{2}\\\\=\dfrac{1}{5}\times \dfrac{5}{2}\\\\=\dfrac{1}{2}\text{ feet}

Volume of cube-shaped block = Volume of cube

V = \text{(Edge)}^3\\\\V =(\dfrac{1}{2})^3\\\\V = \dfrac{1}{8}\text{ cubic feet}\\\\V = 0.125\text{ cubic feet}

Thus, the volume of cube-shaped block is 0.125 cubic feet.

7 0
3 years ago
In the game of​ roulette, a player can place a ​$8 bet on the number 17 and have a StartFraction 1 Over 38 EndFraction probabili
svp [43]

Answer:

Expected value of the game: -$0.421

Expected loss in 1000 games: $421

Step-by-step explanation:

There are two possible outcomes for the event:

- There is a 1 in 38 chance of winning $280

- There is a 37 in 38 chance of losing $8

The expected value for a single game is:

E(X) = \frac{1}{38}*\$280-\frac{37}{38}*\$8\\E(X)=-\$0.421

The expected value of the game is -$0.421

In 1,000 plays, the expected loss is:

L = 1,000*-\$0.421\\L=-\$421

You would expect to lose $421.

3 0
3 years ago
Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of d^2y/dx
nikdorinn [45]

Answer:

Differentiation will give you the gradient for the tangent at any point, and you use the product rule whenever a function can be thought of as two functions multiplied together.

If

f

(

x

)

=

g

(

x

)

×

h

(

x

)

then

f

'

(

x

)

=

g

'

(

x

)

h

(

x

)

+

g

(

x

)

h

'

(

x

)

so if

y

=

x

×

sin

x

then

d

y

d

x

=

1

×

sin

x

+

x

×

cos

x

=

sin

x

+

x

cos

x

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x

=

π

2

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m

=

sin

(

π

2

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+

π

2

cos

(

π

2

)

=

1

+

π

2

×

0

=

1

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y

=

m

x

+

c

y

=

(

1

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x

+

c

y

=

x

+

c

So all we really need to find now is the value for

c

, the

y

intercept. We do this by working out a point

(

x

,

y

)

on the graph. We are already given that

x

=

π

2

, so

y

=

x

sin

x

=

π

2

sin

(

π

2

)

=

π

2

×

1

=

π

2

∴

(

x

,

y

)

=

(

π

2

,

π

2

)

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y

=

x

+

c

,

(

x

,

y

)

=

(

π

2

,

π

2

)

π

2

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π

2

+

c

c

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3 0
2 years ago
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Bess [88]

Answer:  986 becuase that is 65% of the capacity

Step-by-step explanation:

3 0
2 years ago
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Need help ASAP. WILL MARK BRAINLIEST.
AlladinOne [14]

Answer:

a

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6 0
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