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vaieri [72.5K]
3 years ago
5

A 12 ounce box of cereal cost $.84 how many ounces should be in a box marked $.49

Mathematics
2 answers:
OLga [1]3 years ago
8 0

Answer:

7 ounces

Step-by-step explanation:

if 12 ounces is $0.84, that means it is $0.07 per ounce. if you have $.49, you divide .49 and 0.07 and you will get 7 ounces

Vlada [557]3 years ago
8 0

Answer: 7

Step-by-step explanation:

Rule of 3. Let's put the ounces on the left side and the price on the right side.

\frac{12}{x}=\frac{0.84}{0.49}\\

x=\frac{(12)(0.49)}{0.84} \\x=7 ounces

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The cost of having a package delivered has a base fee of $10.80. Every pound over 5 lbs cost an additional $0.41 per pound. Writ
denis-greek [22]
<h3>Answer:</h3>

c. C = 0.41(w - 5) + 10.8

<h3>Explanation:</h3>

(w - 5) will represent the number of pounds over 5. For example, for a weight of 6 pounds, 6-5 = 1 is the number of pounds over 5.

The cost is $0.41 for each pound over 5, so that cost can be represented by ...

... 0.41(w - 5)

This charge is in addition to the base charge of $10.80, so the total cost will be ...

... C = 0.41(w - 5) + 10.80

6 0
4 years ago
the birth rate in namibia is 35 babies to every 1000 people. In 2001, the country had a population of about 1,800,000 people. ho
mr_godi [17]

Hey there!

Let's work this problem out together.

Our ratio is 35:1000, or 35/1000.

Let's try solving this in two ways.

First, we can look at our ratio 35/1000, which is equal to 0.035.

35 is 0.035 of 1000.

Therefore, to find the amount of babies, we can multiply this connecting number by the number of people.

1,800,000(0.035)=63,000

Therefore, there would be 63,000 babies.

---------------------------------------------------------------

We can also solve this as a proportion.

\frac{babies}{people} =\frac{35}{1000} =\frac{b}{1,800,000}

To solve, we can cross multiply and solve for b.

1,000b=63,000,000

We divide both sides by 1,000/

b=63,000

Therefore, there are 63,000 babies.

I hope this helps!

8 0
4 years ago
How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi
Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.  

Opposite side = 70 inches  

Hypotenuse = 12 feet = 12 \times 12 inches = 144 inches

Adjacent side = "x" inches.  

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem  means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}

Substituting the values we get,

\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}

By substituting the required values, we can find cos, sin and tan

\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}

5 0
3 years ago
HELP PLSSSS<br><br> -5|x + 1] = 10
andrezito [222]

Answer:

x=-3

Step-by-step explanation:

u first multiply the five into the brackets and then the rest is in the picture

8 0
3 years ago
Read 2 more answers
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels
murzikaleks [220]

Answer:

80 miles per hour

Step-by-step explanation:

<em><u>Eastbound</u></em>

r = r - 12

t = 5 hours

d = d_e

<em><u>Westbound</u></em>

r = r

t = 5 hours

d_w = 850 - d

The two distances add up to 850 miles

d_w + d_e = 850 miles

(r * t)_w + ( (r -12)*5 ) = 850 miles

r*5 + (r - 12) * 5 = 850                     Pull out 5 as a common factor

5 * ( r + r - 12)  = 850                       Divide by 5

(r + r - 12) * 5/5 = 850/5                  Do the cancellation

2r - 12 = 170                                     Add 12 to both sides

2r - 12 + 12 = 172 + 12

2r = 184                                           Divide by 2

r = 92

r = the westbound train     =  92 mph

r - 12 = The eastbound train  = 80 mph

5 0
3 years ago
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