Answer:
x=20% discount
y=$5 discount
Step-by-step explanation:
let
x= % of discount
y= amount of discount
Price of t shirt in store S=20 - 20x
Price of t shirt in store T= 20 -y
Rose spends $63 for three T-shirts from store S and one from Store T
Store S=20-20x
Store T=20-y
3 shirts from store S=3(20-20x)
1 from Store T=20-y
3(20-20x) + (20-y)=63
60 - 60x + 20-y=63
-60x - y= -17 (1)
Manny spends $140 on five T-shirts from store S and four from Store T
5(20-20x)+4(20-y)=140
100-100x+80-4y=140
-100x - 4y= -40 (2)
Solve eq 1 and 2
-60x - y= -17
-100x - 4y= -40
Multiply (1) by -4
-4(-60x-y)= -17*-4
240x+4y=68 (3)
-100x-4y=-40 (2)
Subtract (2) from (3)
140x=28
x=28/140
x= 0.2
substitute the value of x in (1)
-60x - y= -17
-60(0.2)-y=-17
-12-y=-17
-y=-17+12
-y=-5
Divide both sides by -1
-y/-1=-5/-1
y=5
Therefore,
x=0.2=20% discount
y=$5
Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
Step-by-step explanation:
-2/xy is it
We will see that 20 children can get a serving.
<h3>
How to divide fractions?</h3>
To see how many children can get a serving we need to take the quotient between the total amount of grapes and the amount of grapes needed for each serving.
We know that there are 5 bunches of grapes, and each serving needs 1/4 bunches, then we need to solve:
Notice that we can write 5 as a fraction:
5 = 5/1
then:
Now, the two numbers in the middle (both ones) remain on the denominator, while the other 2 conform the numerator, then we have:
So 20 children can get a serving.
If you want to learn more about fractions, you can read:
brainly.com/question/11562149
