Ask question

Ask question

All categories

2 years ago

12

Jack bought 5 pounds5 \text{ pounds} 5 pounds 5, start text, space, p, o, u, n, d, s, end text of Halloween candy. He gave out 3

pounds3\text{ pounds} 3 pounds 3, start text, space, p, o, u, n, d, s, end text of the candy to trick or treaters and ate 10 ounces10\text{ ounces} 10 ounces 10, start text, space, o, u, n, c, e, s, end text of the candy. How many ounces of Halloween candy does Jack have left?

1 answer:

Mrac [35]2 years ago

5 0

Answer:

<h2>Amount of ounces of candy left = 22ounces</h2>

Step-by-step explanation:

Amount of halloween candy bought by Jack = 5pounds

Amount he gave trick = 3pounds

Amount jack ate = 10ounces

Before we can determine the amount of halloween candy that Jack has left, we need to convert the pounds to ounces in order to make the units consistent.

given 1pound = 16ounces

5pounds = 16* 5 ounces

5pounds = 80ounces

Also;

3pounds = 16*3 ounces

3pounds = 48ounces

Total amount of halloween used up by Jack = 48ounces + 10ounces

= 58ounces

Amount of ounces of candy left = Total amount of candy bought -amount used up

Amount of ounces of candy left = 80ounces - 58ounces

Amount of ounces of candy left = 22ounces

You might be interested in

J & J’s Landscaping Co. makes about $320 a weekday, and ends up with weekly expenses of $1000. How much profit do they expec

guajiro [1.7K]

The answer is D. 320x 5 the. subtract 1000

8 0

2 years ago

Please help with this

Arturiano [62]

The missing side of the triangles are 5, 16.92, 7 and 5 respectively.

Step-by-step explanation:

Step 1: Use the Pythagoras Theorem to find the missing sides.

a² + b² = c²

In the first triangle, a = 3, b = 4.

c² = 3² + 4² = 9 + 16 = 25

⇒ c = 5

∴ Missing side is 5

In the second triangle, a = 15, b = 8

c² = 15² + 8² = 225 + 64 = 289

⇒ c = 16.92

Missing side is 16.92

In the third triangle, b = 24, c = 25

a² = c² - b²

a² = 25² - 24² = 625 - 576 = 49

⇒ a = 7

Missing side is 7

In the fourth triangle, a = 12, c = 13

b² = c² - a²

b² = 13² - 12² = 169 - 144 = 25

⇒ b = 5

Missing side is 5

7 0

3 years ago

What is LA in geometry

Marina CMI [18]

It means Los Angles

3 0

2 years ago

Professor Isaac Asimov was one of the most prolific writers of all time. Prior to his death, he wrote nearly 500 books during a

svp [43]

Answer:

Step-by-step explanation:

n = sample size = 5

a) Let us determine the sum

$\sum x_i= 100+200+300+400+490=1490$

$\sum x_i^2= 100^2+200^2+300^2+400^2+490^2=540100$

$\sum y_i = 237+350+419+465+507=1978$

$\sum y_i^2= 237^2+350^2+419^2+465^2+507^2=827504$

$\sum x_i y_i=100 \times 237 + 200\times350+300 \times 419 + 400 \times 465 + 490 \times 507=653830$

Now we can determine $S_x_x, S_x_y, S_y_y$

$S_x_x = \sum x_i^2-\frac{(\sum x_1)^2}{n} \\= 540100 - \frac{1490^2}{5} \\= 96080$

$S_x_y = \sum x_i y_i -\frac{(\sum x_i)(\sum y_i) }{n} \\\\$

$653830 - \frac{1490 \times 1978 }{5} = 64386$

$S_y_y = \sum y_i^2-\frac{(\sum y_i)^2 }{n} = 82750-\frac{1978^2}{5} \\\\= 45007.2$

The estimate b of the slope β is the ratio of $S_x_y$ and $S_x_x$

$b = \frac{S_x_y}{S_x_x}$

$\frac{64386}{96080} = 0.67$

The mean is the sum of all value divide by number of values

$\bar x= \frac{\sum x_i}{n} \\\\= \frac{100+200+300+400+490}{5} \\\\= \frac{1490}{5} = 298$

$\bar y= \frac{\sum y_i}{n} \\\\= \frac{237+350+419+465+507}{5} \\\\= \frac{1978}{5} = 395.6$

The estimate a of the intercept is

$a = \bar y - b \bar x$

$= 395.6 - 0.69 \times 298\\= 195.9$

General least square equation;

$\bar y = \alpha + \beta x$

replace alpha by a = 3 and beta by b = 0.67 in general least equation

y = a + bx

195.9 + 0.67x

b)

<em>Scatter plot is shown in the attached file</em>

x is on the horizontal axis

y is n the vertical axis

The degree of freedom of regression is 1

because we use one variable s predictor variable

$d_f_R = 1$

The degree of freedom of error is the sample size n decrease by 2

$d_f_E =n-2= 5 - 2=3$

Total df is equal to the sum of seperate degree of freedom dfR and dfE

total df = 1 +3 4

$SSR = \frac{(S_x_y)^2}{S_x_x} = \frac{64386^2}{96080} \\\\= 43146.9296$

Total SS =Syy= 45007.2

SSE + Total SS = SSR

= 45007.2 - 43146.9296

= 1860.2705

7 0

3 years ago

While hiking, Eric ate 3/5 of a cup of nuts. Akira ate 1/10 of a cup of nuts. How much more did Eric eat than Akira?

Ivan

Answer:

1/2

Step-by-step explanation:

3/5 - 1/10

6/10 - 1/10 = 5/10 = 1/2

5 0

2 years ago