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pogonyaev
3 years ago
5

Caitlin has 4 3/4 pounds of clay . She uses 1 1/10 pounds to make a cup ,and another 2 pounds to make a jar , how many pounds ar

e left
write an equation
Mathematics
1 answer:
Brut [27]3 years ago
5 0
There are 33/20 or 1.65 pounds left.

Given:
4 3/4 pounds of clay
1 1/10 pounds of clay for a cup
2   pounds of clay for a jar

Convert the mixed fraction into fractions.
4 3/4 = (4*4+3)/4 = 19/4
1 1/10 = (1*10+1)/10 = 11/10
2 = 2/1

19/4 - 11/10 = (19/4 *5/5) - (11/10 * 2/2) = 95/20 - 22/20
= (95-22)/20 = 73/20 or 3.65 pounds after making a cup  

73/20 - 2/1 = 73/20 - (2/1 * 20/20) = 73/20 - 40/20 = 73 - 40 / 20 = 33/20  OR 1.65 pounds left after making a jar.


We can also convert the fractions into decimal numbers.
19/4   = 4.75
11/10 = 1.10
2/1     = 2.00

4.75 - 1.1 - 2 = 1.65 pounds left.


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The estimated difference between two numbers is 60. Find two numbers that when rounded to the nearest ten, have a difference of
Verdich [7]

Answer:

128 and 74.

Step-by-step explanation:

128 rounded to the nearest ten is 130, and 74 rounded to the nearest ten is 70. 130-70=60

7 0
3 years ago
e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4
Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

\frac{1}{x} = \frac{2 + 1}{4}

3x = 4

x = \frac{4}{3}

Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

t = 12 \times \frac{4}{3} = 4(4) = 16

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

6 0
2 years ago
Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)
Crazy boy [7]

Answer:

1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}

Step-by-step explanation:

To find : Convert 1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C} into \frac{\text{BTU}}{ft^2\times hr\times ^\circ F}

Solution :

We convert units one by one,

1\text{ m}^2=10.7639\text{ ft}^2

1\text{ sec}=\frac{1}{3600}\text{ hour}

1\text{ cal}=0.003968\text{ BTU}

Converting temperature unit,

^\circ C\times \frac{9}{5}+32=^\circ F

1^\circ C\times \frac{9}{5}+32=33.8^\circ F

So, 1^\circ C=33.8^\circ F

Substitute all the values in the unit conversion,

1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}

1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}

1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}

Therefore, The conversion of unit is 1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}

3 0
3 years ago
If Layla gets paid $948 a slow week . The employees Marco gets paid $9 an hour ,Stephanie gets paid $10.50 an hour ,and Destiny
deff fn [24]

Answer:

they all got paid 474$ all together

Step-by-step explanation:

destiny worked 12 hours and made 240.17$

Stephanie worked 12 hours and made 126.17$

Marco worked 12 hours and made 108.17$

this all adds up to 474.50$ which is exactly half of 949$

5 0
3 years ago
HELP ME ASAP!!!!!!!!
Marina CMI [18]

Answer:

Step-by-step explanation:

1) 30 : 100 = x : 299

x = (30 x 299)/100

x = 89,70 $

2) 299 - 89,70 = 209,30 $

3)  5 : 100 = x : 209,30

x = 10,465 $

209,30 + 10,465 = 219,77 $

5 0
3 years ago
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