Math question. please help<br>3+2x+4x=15

A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a cater

n200080 [17]

Answer:

The number of pies does the baker have left is 15.

Step-by-step explanation:

Given : A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies.

To find : How many pies does the baker have left?

Solution :

Let x be the number of pies does the baker have left.

According to question,

Number of pies buys,

One-fourth = $\frac{1}{4}$

One-third = $\frac{1}{3}$

One-sixth = $\frac{1}{6}$

i.e. $x=20-(20\times \frac{1}{4}+20\times \frac{1}{3}+20\times \frac{1}{6})$

$x=20-(5+20\times \frac{1}{3}+10\times \frac{1}{3})$

$x=20-(5+\frac{20+10}{3})$

$x=20-(5+ \frac{30}{3})$

$x=20-(5+10)$

$x=20-(15)$

$x=5$

The number of pies does the baker have left is 15.

7 0

3 years ago

A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc

seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

$t=\frac{d}{s}$

we have

$d=963\ mi$

$s=60\ mi/h$

substitute

$t=\frac{963}{60}=16.05\ hours$

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

$30\ minutes=0.50\ hours$

$16.05+0.50=16.55\ hours$

Convert to minutes

$16.55\ h=16.55(60)\ min=993\ min$

step 3

Remember that

$8 p.m=20:00\ hrs$

Convert to minutes

$20(60)=1,200\ min$

Subtract 993 minutes from 1,200 minutes

$1,200-993=207\ min$

Convert to hours+minutes

$207\ min=207/60=3.45\ hours$

$0.45\ h=0.45(60)=27\ min$

so

$3\ h+27\ min$

$00:00 + 03:27=03:27\ am$

therefore

The train need to leave Portland at 03:27 am

8 0

3 years ago

How do you find perimeter?

baherus [9]

Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.

3 0

1 year ago

9 markers cost $11.50. How much would 7 markers cost?

Anna007 [38]

Answer:

7 markers cost $8.95

Step-by-step explanation:

9x = 11.50

x = 11.5/9 = 1.278

Therefore, 7 markers, or 7x = 7(1.278) = 8.946

8 0

3 years ago

Read 2 more answers

A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri

Softa [21]

Answer:

The data item is $X = 580$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that $\mu = 400, \sigma = 60$