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vodka [1.7K]
2 years ago
14

A construction contractor received two deliveries of building supplies from a lumberyard. The two deliveries included 10 boxes o

f nails, which coast a total of $110.
Question: write and solve an equation to determine n, the cost in dollars of one box of nails.
Mathematics
1 answer:
postnew [5]2 years ago
6 0
To solve this problem you must apply the proccedure shown below:

 1. You have that t<span>he 10 boxes of nails that were included in the two deliveries,had a total cost of $110.
 2. Therefore, you can calculate the</span><span> cost in dollars of one box of nails (n), as following:

 "n" is the cost of one box of nails.

 10n=110
 n=110/10
 n=11 dollars
</span>
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A prescription calls for the following: Sodium citrate 5 g Tartar Emetic 0.015 g Cherry syrup ad 120 mL Using a balance with a s
ella [17]

Answer:

measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

Step-by-step explanation:

Given:

Mass of Sodium citrate = 5 g

Mass of Tartar Emetic = 0.015 g = 15 mg

Volume of Cherry syrup ad 120 mL = 120 mL

sensitivity = 4 mg

Error = 5%

Now,

The smallest weight that can be measured = \frac{\textup{Sensitivity}}{\textup{Error}}\times100

or

The smallest weight that can be measured =  \frac{\textup{4}}{\textup{5}}\times100  = 80 mg

Now,

80 mg is dissolved in 120 mL of Cherry syrup according to prescription

( Thus,

1 mg is dissolved in \frac{120}{80}\ mL  of Cherry syrup according to prescription )

so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup

=   15\times\frac{120}{80}\ mL

= 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

8 0
2 years ago
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field
GrogVix [38]

Answer:

9/20, or 0.45 mile.

Step-by-step explanation:\\

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

\frac{9}{10} × \frac{1\\}{2} is just 9/20, which is 0.45.

7 0
2 years ago
a person on a tour has rupees 12000 for his daily expenses. In order to extend his journey for 2 more days he had to cut down hi
myrzilka [38]

Answer:

Duration of the tour he planned first is 8 days.

Step-by-step explanation:

Given that a person has 12000 rupees for his daily expenses.

Let x be the number of days.

Then daily expenses per day =\frac{12000}{x}

Given that number of day is increased by 2 more days, that is number of days is x+2.

New daily expense per day \frac{12000}{x+2}

Given that this new daily expenses are 300 less than original.

That is \frac{12000}{x}-\frac{12000}{x+2}=300

              \frac{12000(x+2)-12000x}{x(x+2)}=300

                  \frac{24000}{x(x+2)}=300

                  x(x+2)=\frac{24000}{300}

                    x^{2}+2x-80=0

                    (x-8)(x+10)=0

                     x=8 or -10.

Since number of days cannot be negative, duration of the tour planned=8.

7 0
2 years ago
For customers purchasing a refrigerator at a certain appliance store, let A be the event that the refrigerator was manufactured
kati45 [8]
The answers are the following:
<span><span><span>P(A)=0.75</span><span>
</span></span><span><span>P(B|A)=0.9
</span></span><span><span>P(B|<span>A′</span>)=0.8
</span></span><span><span>P(C|A∩B)=0.8
</span></span><span><span>P(C|A∩<span>B′</span>)=0.6
</span></span><span><span>P(C|<span>A′</span>∩B)=0.7
</span></span><span><span>P(C|<span>A′</span>∩<span>B′</span>)=0.3</span></span></span>
4 0
2 years ago
A group of kids just finished trick-or-treating. The number of pieces of candy collected by each of the 5 kids
NemiM [27]

Answer:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808

And the answer for this case would be :

s= 3.81 after round the value

Step-by-step explanation:

We have the following data set given:

31, 33, 36, 41, 34

If we want to find the standard deviation we need to find first the sample mean with this formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X = \frac{31+33+36+41+34}{5}= \frac{175}{5}= 35

Now we can find the sampel deviation with this formula:

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s =\sqrt{\frac{(31-35)^2 +(33-35)^2 +(36-35)^2 +(41-35)^2 +(34-35)^2}{5-1}} =3.808

And the answer for this case would be :

s= 3.81 after round the value

6 0
2 years ago
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