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gavmur [86]
3 years ago
11

The sum of two numbers is 25. One of he numbers exceeds the other by 9. Find the numbers

Mathematics
2 answers:
Vitek1552 [10]3 years ago
3 0
X + y = 25
x is the smaller number.
y is the smaller number plus 9 (x + 9).

x + (x + 9) = 25
2x + 9 = 25
2x = 16
x = 8

8 + y = 25
y = 17

The numbers are 8 and 17.
lapo4ka [179]3 years ago
3 0
X and y are the numbers
sum is 25 so
x+y=25

x is bigger than y by 9
x=y+9
subsitue y+9 for x

x+y=25
y+9+y=25
2y+9=25
minus 9 both sides
2y=16
divide by 2
y=8

sub back
x=y+9
x=8+9
x=17

the numbers are 8 and 17
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9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
3 years ago
Select the denominator of 4/9
Assoli18 [71]
The denominator is the one on the bottom so 9 is the denominator the top is the numerator
5 0
4 years ago
Solve for x 2/3=x/4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%20%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%20%7D%2
balandron [24]
To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66
3 0
3 years ago
What is the perimeter of this triangle?<br> ______<br> l_____l
grin007 [14]
16.8.  Perimeter of a triangle is side a+ side b+ side c.
5 0
3 years ago
Read 2 more answers
Robin baked 702 cookies.He sold them in boxes of 18. After selling all of the boxes of cookies for the same amount each, he earn
loris [4]

Answer:

cost of a box is $3.5

Step-by-step explanation:

given data

sold box = 18

earned = $136.50

solution

we consider here number of boxes of cookies is x

and

for we get Tyler sold  cookies box so number of boxes we divide 702 cookies among 18 is

Tyler sold  = \frac{702}{18}

Tyler sold  = 39 boxes

and

now we consider here y as cost of each box of cookies,

so for cost or sale price of the cookie boxes here we divided 136.50 dollars among 39 boxes

so

cost of each box = \frac{136.5}{39}

cost of each box = 3.5

Thus, the cost of each box was 3.5

3 0
3 years ago
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