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Charra [1.4K]
2 years ago
7

Kendra has $32 and is planning to save $25 each week. She is saving to buy a new phone that costs $257.00. Write an equation to

find w, the number of weeks until she will have enough money for the phone.
Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

Answer:

257.00=25w+32

Step-by-step explanation:

W is the number of weeks. It will take 9 weeks for her to save up to the new phone.

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astraxan [27]

Given:

The radius of inner circle = 13 yd.

The width of the shaded region = 8 yd

To find the area of the shaded region.

Now,

The radius of the outer circle = 13+8 yd = 21 yd

Formula

The area of a circle of radius r unit is \pi r^{2} sq unit.

A = A_{1}-A_{2}

where, A = The area of the shaded region

A_{1} = Area of the outer region

A_{2}= Area of the inner region

Now,

A_{1}= \pi (21^{2})

A_{1} = (3.14)(21)(21)

A_{1}= 1384.74 sq yd

And,

A_{2} = \pi (13^{2})

A_{2} = (3.14)(13)(13)

A_{2}= 530.66 sq yd

Therefore,

A = 1384.74-530.66 sq yd

A = 854.08 sq yd

Hence,

The area of the shaded region 854.08 sq yd.

7 0
3 years ago
Y = (x) = (1/9)^x<br> Find f(x) when x = (1/2)<br> Round your answer to the nearest thousandth.
irina [24]

Answer:

0.333

Step-by-step explanation:

6 0
3 years ago
which expressions represents a 20% discount off the price of an item that originally cost D dollars ​
Charra [1.4K]

Answer:

D - (D/5)

Step-by-step explanation:

Let's imagine that D equals 100 dollars -

Well, we know that to get 20% of an amount, we need to divide the amount by five. So let's do that -

100 / 5 = 20

We now know that 20% of 100 dollars is equal to 20 dollars. We have now finished the first part. On to the second part.

We now need to take away 20% of 100 dollars off of 100 dollars - this is the price of the item after the discount.

100 - 20 = 80 dollars.

We now fit in D instead of 100 dollars -

D - (D/5)

6 0
3 years ago
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The amounts a soft drink machine is designed to dispense for each drink are normally distributed, with a mean of 12.1 fluid ounc
Ludmilka [50]

Answer:

\mu = 12.1\\\sigma = 0.3

a) Find the probability that the drink is less than 11.9 fluid ounces

We are supposed to find P(x<11.9)

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

Refer the z table

So, P(z<-0.67) = 0.2514

Hence the probability that the drink is less than 11.9 fluid ounces is 0.2514

b)Find the probability that the drink is between 11.6 and 11.9 fluid ounces

x= 11.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.6-12.1}{0.3}

z=-1.67

x= 11.9

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{11.9-12.1}{0.3}

z=-0.67

We are supposed to find P(11.6<x<11.9)

So, P(11.6<x<11.9)= P(x<11.9)-P(x<11.6)

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

Refer the z table

P(-1.67<z<-0.67)= P(z<-0.67)-P(z<-1.67)

P(-1.67<z<-0.67)= 0.2514-0.0475

P(-1.67<z<-0.67)= 0.2039

So, the probability that the drink is between 11.6 and 11.9 fluid ounces is 0.2039.

c)Find the probability that the drink is more than 12.6 fluid ounces

We are supposed to find P(x>12.6)

x= 12.6

We will use z score formula :

z=\frac{x-\mu}{\sigma}

z=\frac{12.6-12.1}{0.3}

z=1.67

Refer the z table

P(x>12.6)=1-P(x<12.6)

P(z>1.67)=1-P(z<1.67)

P(z>1.67)=1-0.9525

P(z>1.67)=0.0475

Hence  the probability that the drink is more than 12.6 fluid ounces is 0.0475

d) Is the drink containing more than 12.6 fluid ounces an unusual event?

Since p value is less than  alpha (0.05)

Answer = No, because the probability that a drink containing more than 12.6 fluid ounces is less than 0.05, this event is not unusual.

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3 years ago
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist head
Mars2501 [29]
So it took an hour an 15 minutes which means the distance traveled is their speed+1/4 of their speed, also any answers that have northbound going faster than 6km/h above south is not right so B and D seems to be out of the picture
4 0
3 years ago
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