Answer:
6x = 9
Step-by-step explanation:
4x-5y = 12
2x+5y = -3
Add the equations together
4x-5y = 12
2x+5y = -3
-------------------
6x + 0y = 9
6x = 9
Step-by-step explanation:
6a
Sn = n/2 [2a + (n-1) d]
(2Sn)/ n = 2a + (n - 1) d
2a + (n-1) d = (2Sn)/n
(n-1) d = (2Sn - 2a)/n
6b
d = ¹/16
7a.
E = (mv²)/2 + mgh
E = m( v²/2 + gh)
E/m = v²/2 + gh
E/m - gh = v²/2
2(E/m - gh) = v²
so
7b.
v = 14 m/s
The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.
<h3>How to find the sign?</h3>
The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.
The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.
Solving the expression in the brackets gives:
= 3 x 7
= 21
We therefore need a sign that when related to 21 would give the result, 1.
The only sign that can relate 21 to 21 such that the answer would be 1, is division:
= 21 / 21
= 1
In conclusion, the sign that would make the statement true is a division sign.
Find out more on mathematical signs at brainly.com/question/24034494
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Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00
The first thing Staci needs to do is to deduct the cost of the ticket from her money.
$200 - 87.96 = $112.04
Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.
$112.04 / $30 = 3.73
Based from the quotient, Stacy can buy 3 t-shirts.
$30 * 3 = $90 total cost of the tshirts.
$112.04 - 90 = $22.04
After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.
Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216
x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can = 
= $0.216
The cost of making the Larger can = 
=$0.324
