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Firlakuza [10]
1 year ago
10

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collecti

on. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection?
Mathematics
1 answer:
hichkok12 [17]1 year ago
8 0
8 to 12, or if simplified, 2 to 3
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Given directed line segment QS , find the coordinates of R
Degger [83]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at (x_1,y_1) and B(x_2,y_2) is given by the formula:

x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1

If point Q is at (x_1,y_1) and S at (x_2,y_2)  and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1

Let us assume Q(−9,4) and S(7,−4)

x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1

4 0
2 years ago
Rewrite in polar form: x=12.<br><br> I have r=12 sec theta
romanna [79]
To solve this problem you must apply the proccedure shown below:
 1. You have to r<span>ewrite x=12 in polar form. Then, you have:
 12=rCos</span><span>θ
 2. Then, you must solve for r, as following:
 r=12/Cos</span><span>θ
</span> 3. You have that 1/Cosθ=Sec<span>θ, therefore:
</span> r=12(1/Cos<span>θ)
</span> r=12Sec<span>θ
</span> Therefore, as you can see, the answer is: r=12Secθ<span>
 </span>
3 0
1 year ago
Read 2 more answers
A carpenter bought 4 boxes of nails. Each box weighed 3 and 2/5 pounds. The price of the nails was $8 per pound. How much did th
neonofarm [45]

Answer:

108.80

Step-by-step explanation:

8 0
1 year ago
HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted
diamong [38]

Answer:

166

Step-by-step explanation:

$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)

10.00 divided by 0.06=  166

I hope this helps! :)

3 0
1 year ago
Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
barxatty [35]

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

4 0
2 years ago
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