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Kaylis [27]
3 years ago
9

Xian and his cousin Kal both collect stamps. Xian has 52 stamps, and Kal has 68 stamps. The boys recently

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0

Answer:

In 4 months, they will both have 132 stamps.

Step-by-step explanation:

Let x = # of months

52 + 20x = 68 + 16x

4x = 16

x = 4

Plug x value into both expressions and see if it checks out

52 + 20(4) = 68 + 16(4)

52 + 80 = 68 + 64

132 = 132

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A glider plane travels 120 miles in 2 hours. At that rate, how many hours will it take the plane to travel 300 miles?
tigry1 [53]

The answer is C.........

3 0
3 years ago
Solve the system of equations
ira [324]

Answer:

  B) x = 2, y = 1

Step-by-step explanation:

Add the two equations to eliminate the x-variable.

  (x +3y) +(-x +6y) = (5) +(4)

  9y = 9 . . . . . . .simplify

  y = 1 . . . . . . . . divide by 9

You can substitute this value into either equation to find x.

  x + 3(1) = 5

  x = 2 . . . . . . . . subtract 3

The solution is (x, y) = (2, 1).

7 0
3 years ago
Read 2 more answers
A mother wants to invest $5,000.00 for her son's future education. She invests a portion of the money in a bank certificate of d
Lostsunrise [7]
Let us say, the CD amount she invested is "c"
and  the amount she invested in the savings bond is "s"

she invested a total of 5,000
so, whatever "c" is and "s" is, c + s = 5,000

now, the CD account earned 4% in interest
4% in decimal form is 4/100 or 0.04

she also earns 7% from the saving bonds,
7/100 is 0.07

the interest earned after one year are 300
that is, the 4% per year and the 7% per year add up to 300 bucks
so, one can say that

0.04c + 0.07s = 300

\begin{cases}
c+s=5,000\to s=\boxed{5,000-c}
\\ \quad \\
0.04c+0.07s=300\to 0.04c+0.07(\boxed{5,000-c})=300
\end{cases}
\\ \quad \\
\textit{solve for "c", or CD amount}
8 0
3 years ago
Read 2 more answers
20 POINTS
USPshnik [31]

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

4 0
3 years ago
1. slope == 5, through (3, 13)
GuDViN [60]

I’m assuming you’re trying to find the equation of a line that intersects the point. In order to do this you need to plug in your points into the equation that at the moment just has your slope.

y=5x —> 13=5(3)+b —> 13=15+b —> 13-15=b

—> b=-2

Now that you finally found your b (y-intercept) you can just plug it in!

y=5x-2

8 0
3 years ago
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