Ask question

Ask question

All categories

2 years ago

10

Convert the following units. a. 108 eggs to dozens b. 35.79 dollars to cents c. 64 identical shoes to pairs d. 19,045 cents to d

ollars e. 19 dozen cookies to individual cookies f. 7 gross of identical gloves to pairs

2 answers:

kirill115 [55]2 years ago

8 0

A. 9 dozens
b. 3,579 cents
c. 32 pairs
d. $190.45
e. 288 cookies

Bumek [7]2 years ago

5 0

Answer:

a) 9 dozens; b) 3579 cents; c) 32 pairs; d) 190.45 dollars; e) 228 cookies; f) 504 pairs

Step-by-step explanation:

a) There are 12 of any item in a dozen. To find the number of dozens in 108 eggs, divide by 12:

108/12 = 9

b) There are 100 cents in every dollar. To convert the number of dollars to cents, multiply by 100:

35.79(100) = 3579

c) There are 2 shoes in a pair. To convert individual shoes to pairs, divide by 2:

64/2 = 32

d) To convert cents to dollars, divide by 100:

19045/100 = 190.45

e) To convert dozens to individual cookies, multiply by 12:

19(12) = 228

f) A gross is a dozen dozen. This means it is 12(12) = 144. This makes 7 gross 7(144) = 1008. To convert this to pairs, divide by 2:

1008/2 = 504

You might be interested in

Please help me with my math. Annie says all of the graphs in Problem 1 are functions. (a) Do you agree with Annie that all of th

trapecia [35]

Do you have a picture of the problem?

6 0

2 years ago

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0

2 years ago

Sociologists want to test whether the number of homeless people in a particular urban area is increasing. In 2010, the average n

Kobotan [32]

Answer:

The test statistic value is 15.3.

Step-by-step explanation:

The hypothesis for this test is:

<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.

<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.

Given:

$\bar x=45.3\\\sigma=6.2\\n=1000$

As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.

The test statistic is:

$z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{45.3-42.3}{6.2/\sqrt{1000}}=15.3$

Thus, the test statistic value is 15.3.

7 0

2 years ago

Kaitlyn gave 1/2 of her candy bar to arianna. arianna gave 1/3 of the candy she got from kaitlyn to cameron. what fraction of a

sukhopar [10]

Let the total candy bar be represented by x.

Amount of chocolate Kaitlyn gave to Arianna = $\frac{1}{2}x$

Amount of chocolate Arianna gave Cameron

= $\frac{1}{3}$ rd <span>of the candy she got from Kaitlyn to Cameron

= </span> $\frac{1}{3}$ × $\frac{1}{2}x$

= $\frac{1}{3}* \frac{1}{2} x = \frac{1}{6} x$

Hence, Cameron got $\frac{1}{6}$ th of the original chocolate.

5 0

2 years ago

Alicia measured 1/4 yard of the blue diamonds fabric and 5/6 yard of the yellow bonnets fabric to make a quilt. rename each leng

djyliett [7]

There are 36 inches in a yard, so that is the denominator being asked for.

1/4 yard = 9/36 yards
5/6 yard = 30/36 yards

7 0

2 years ago

Read 2 more answers