Solve by substitution 8x+y=-16 -3x+ y= -5

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

Question:

If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?

Answer:

The basket of bottles weighs more than the basket of apples by $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces

8 0

3 years ago

Suppose a brand of light bulbs is normally distributed, with a mean life of 1300 hr and a standard deviation of 50 hr. Find the

tatyana61 [14]

Answer:

Step-by-step explanation:

Since the life of the brand of light bulbs is normally distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = life of the brand of lightbulbs

u = mean life

s = standard deviation

From the information given,

u = 1300 hrs

s = 50 hrs

We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as

P(1225 ≤ x ≤ 1365)

For x = 1225,

z = (1225 - 1300)/50 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is

0.06681

For x = 1365,

z = (1365 - 1300)/50 = 1.3

Looking at the normal distribution table, the probability corresponding to the z score is

0.9032

Therefore

P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364

7 0

3 years ago

You have 36 pages to read for homework. In 5 minutes you read 10 page if you countinue to read at the same rate how many times w

kykrilka [37]

Answer:

18 minutes

Step-by-step explanation:

5 mins = 10 pages

10 mins = 20 pages

15 mins = 30 pages

20 mins = 40 pages

Just keep adding 5 to the minutes and 10 to the pages. then if you divide 10 by 5 (10÷5) you get 2.

2 is the amount of pages you read in 1 minute.

so 1 minute = 2 pages

Since you only need to read 36 pages, you know that it would at least take you 15 mintes to read 30.

then you start adding 1 minute until you get to 36 pages.

15 minutes = 30 pages

16 minutes = 32 pages

17 minutes = 34 pages

18 minutes = 36 pages

Therefore, it should take 18 minutes to read all 36 pages.

(A shorter way of doing this would be doing 10÷5=2, then just dividing 36 by 2 (36÷2) and you would get 18 which would be the minutes it would take you to read all 36 pages if you read at 2 pages per minute.)

8 0

3 years ago

Which two positive whole numbers,whose sum is 17, have the largets product?

stich3 [128]

9 and 8.

The sum equals 17 and the product of the two numbers equal 72.

7 0

3 years ago

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $4 and a pie costs $11. In one day they sold 11 bake

Dahasolnce [82]

Answer:

8 cakes

Step-by-step explanation:

4 0

3 years ago

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