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Anna007 [38]
3 years ago
9

Jeff as a collection of hockey cards. His brother Steve had 10 more cards than Jeff. Steve gave Jeff all of his cards. Jeff ende

d up with 992 cards. How many cards did Jeff start with?
Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer: 491 cards

Step-by-step explanation:

Given

Steve had 10 more cards than Jeff

Suppose Jeff has x cards

So, steve has x+10 cards

Steve handover his cards to Jeff

Now, Jeff has x+x+10=2x+10 cards

It must be equal to 992

\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}

Jeff started with 491 cards

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Write the equation of the line that passes through the points (2, -6) and (8, -2).
Inessa [10]
Answer:

y + 6 = 2/3 (x - 2)

Step-by-step explanation:

Step 1. Find the slope

m = slope

m = change in y/change in x

m = (y2 - y1)/(x2 - x1)

points: (2, -6) & (8, -2)

m = (-2 - -6)/(8 - 2)

m = 4/6

m = 2/3

Step 2. Create the point-slope equation by using the slope and the first point

Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point

Point-slope form: y + 6 = 2/3 (x - 2)

8 0
3 years ago
Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for
tester [92]

5.00Answer:

Step-by-step explanation:

8 0
3 years ago
Convert into decimals (use your calculator): a) 6/38 b) 45/55 c) 4/28 d) 35/28 e) 1030/2030
Delicious77 [7]

Answer:

a.\hspace{3} \frac{6}{38} = 0.15789474\\\\b.\hspace{3} \frac{45}{55} = 0.81818181\\\\c.\hspace{3} \frac{4}{28} = 0.14285714\\\\d.\hspace{3} \frac{35}{28} = 1.25\\\\e.\hspace{3} \frac{1030}{2030} = 0.50738916

Step-by-step explanation:

Rational numbers, expressed as decimal numbers, are obtained from the operation of division between the integer of the numerator and the integer of the denominator. Then:

a.\hspace{3} \frac{6}{38} = 6\div38 = 0.15789474\\\\ b.\hspace{3} \frac{45}{55} = 45\div55 = 0.81818181\\\\c.\hspace{3} \frac{4}{28} = 4\div28 = 0.14285714\\\\ d.\hspace{3} \frac{35}{28} = 35\div28 = 1.25\\\\ e.\hspace{3} \frac{1030}{2030} = 1030\div2030 = 0.50738916

3 0
4 years ago
Did I get this right?
natima [27]

Answer: Yes, the answer is 40 quarters.


Step-by-step explanation:

1. You need to remember that 4 quarters make a dollar.

2. Keeping this on mind, you can make a Rule of three, as following: If there are 4 quarters in 1 dollar, how many quarters are in 10 dollars?

Then:

4 quarters-------1 dollar

          x---10 dollars

x=\frac{(10dollars)(4quarters)}{1dollar}\\x=40quarters

3. Therefore, there are 40 quarters in one roll.


7 0
3 years ago
Find the distance between the 2 points (6, - 4) and (2, - 7). Please show me how you found it.
Serga [27]
\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 6}}\quad ,&{{ -4}})\quad 
%  (c,d)
&({{ 2}}\quad ,&{{ -7}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[2-6]^2+[-7-(-4)]^2}\implies d=\sqrt{(2-6)^2+(-7+4)^2}
5 0
4 years ago
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