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2 years ago

One fifth of sum of two angles is 24 and their diffetence is 14 find the two angles

Mathematics

1 answer:

Serggg [28]2 years ago

4 0

Answer:

Angles are $67^0,53^0$

Step-by-step explanation:

Let the angles be $x,y$

One fifth of sum of two angles is 24

$\frac{x+y}{5} =24\\\\x+y=120$

The difference is $14$

$x-y=14$

$2x=134\\\\x=67^0$

$y=120-67\\\\=53^0$

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It cost 5 dollars for a child ticket and 8 dollars for a adult ticket. Total tickets sold were 110 bringing in 820 dollars? How

omeli [17]

Number of child tickets bought is 20

<h3><u>Solution:</u></h3>

Given that It cost 5 dollars for a child ticket and 8 dollars for a adult ticket

cost of each child ticket = 5 dollars

cost of each adult ticket = 8 dollars

Let "c" be the number of child tickets bought

Let "a" be the number of adult tickets bought

Total tickets sold were 110 bringing in 820 dollars

<em>Number of child tickets bought + number of adult tickets bought = 110</em>

c + a = 110 ----- eqn 1

<em><u>Also we can frame a equation as:</u></em>

Number of child tickets bought x cost of each child ticket + number of adult tickets bought x cost of each adult ticket = 820

$c \times 5 + a \times 8 = 820$

5c + 8a = 820 -------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "c" and "a"

From eqn 1,

a = 110 - c ------ eqn 3

Substitute eqn 3 in eqn 2

5c + 8(110 - c) = 820

5c + 880 - 8c = 820

-3c = - 60

c = 20

Therefore from eqn 3,

a = 110 - 20 = 90

a = 90

Therefore number of child tickets bought is 20

8 0

3 years ago

Margo brought 7 pens from a book store some pens cost $3.00 EACH and the rest cost $4.00 . If she paid a total of 23.00 for the

Montano1993 [528]

Answer:

Step-by-step explanation:

Margo bought 7 pens for $23.

Some pens are $3 and some $4.

We need to find how many $3 pens she bought.

Let the number of $3 pens be represented by p and let the number of $3 pens be represented by r. So:

p = $3 and r = $4

Now we know 7 pens were purchased so is we add the number of $3 pens purchased to the number of $4 pens purchased, we will get 7.

p + r = 7

We know that the total cost of the pens is $23 so that equation would be found by takign the $3 pen multiplied by the number of $3 pens purchsed added to the $4 pen multiplied by the number of $4 pens purchsed, which equals $23.

$3p + $4r = $23

Now we have 2 equations and 2 unknowns.

p + r = 7

$3p + $4r = $23

Let's solve for r in the first equation.

p + r = 7 Subtract p from both sides.

p - p + r = 7 - p The p on the left cancels.

r = 7 - p

Now that we know r, we can substitute it into the second equation and solve for p.

$3p + $4r = $23

3p + 4( 7 - p) = 23 Multiply it out.

3p + 4*7 - 4*p = $23

3p + 28 - 4p = 23 Combine like terms.

3p - 4p + 28 = 23

- 1p + 28 = 23 Subtract 28 from both sides.

- p + 28 - 28 = 23 - 28

- p = - 5 Divide each side by -1

- p/- 1 = - 5/ - 1 The negative cancels on each side.

p = 5

We can see Margo bought 5 $3 pens.

For fun, let's solve for how many $4 pens she bought. We know p, so we plug it in the first equation and solve for r.

p + r = 7

5 + r = 7 Subtract 5 from each side

5 - 5 + r = 7 - 5

r = 7 - 5

r = 2

So Margo bought 5 $3 pens and 2 $4 pens!

8 0

2 years ago

Which is equivalent to 49 3/2

Umnica [9.8K]

49^(3/2)
This is the same as (sqrt49)^3
7^3 = 343

8 0

3 years ago

Determine whether the graphs of y=1/2x-8 and y=-2x-6 are parallel, perpendicular, coincident, or none of these.

katovenus [111]

Answer:

They are parallels

Step-by-step explanation:

3 0

2 years ago

What is the first quartile of the box-and-whisker plot?

iogann1982 [59]

B) 48 is your answer

Hope this helps!!

6 0

3 years ago

Read 2 more answers

One fifth of sum of two angles is 24 and their diffetence is 14 find the two angles​

One fifth of sum of two angles is 24 and their diffetence is 14 find the two angles