Answer:
x=2
y=-8
Step-by-step explanation:
6x+3y=-12
-6x-2y=4
3y=-12-6x
y=(-12-6x)/3
y=-4-2x
substitute y
-6x-2(-4-2x)=4
-6x+8+4x=4
-2x=-4
x=2
6(2)+3y=-12
12+3y=-12
3y=-24
y=-8
check:
6(2)+3(-8)=-12
12-24=-12
-6(2)-2(-8)=4
-12=16=4
Total length of the string Kevin has = 3/4 yard.
He used 1/3 of the total length of the string.
We have total length 3/4 yards.
Therefore,<em> we need to find the 1/3 of 3/4 yards.</em>
1/3 × 3/4
We can see that we have 3 in the bottom of first fraction and 3 on the top of second fraction.
Crossing out 3's we get,
= 1/4 yards.
<h3>Therefore, he used 1/4 yards of string for his project.</h3>
Answer:
4
Step-by-step explanation:
To find the side length of the original triangle:
24/3=8 (because it is an equilateral triangle).
Because the triangle is dilated by a factor of 0.5 and the triangle is equilateral, the side lengths of the new triangle is
8*0.5=4
Answer:
9 (make sure to place the currency symbol (e.g. £ or $) beside your answer, otherwise it may be counted as incorrect).
Step-by-step explanation:
- If one adult went and the adult tickets cost 14, we can subtract 14 from 59 to see the total cost of the children's five tickets:
59 - 14 = 45
- Because there are 5 children, you then divide that value by 5 in order to find out the cost for one child and, ultimately, the cost of each child's ticket: 45 ÷ 5 = 9
- The cost of each child's ticket is therefore 9
94. 7 pounds of grapes costs 10.43 dollars. Now, solve for the costs of 3 pounds of grapes.
There are different ways to solve this kind of situation. For my end, I will be showing the solution that I think is easier.
=> 7 pounds = 10.43 dollars.
Find the unit rate first
=> 10.43 dollars / 7 = 1.49 dollars per pounds.
Now, solve for the cost of 3 pounds
=> 1.49 * 3 = 4.47 dollars is the costs of 3 pounds of grapes.
