-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11
simplify :
4y-25=11
add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out
so it would be 4y=36
and you divide both sides by 4
4/4 =36/4
which gives you (5,9)
x= 5 , y =9
Answer:
B, D
Step-by-step explanation:
-3(0.15 - 0.2 +0.25p) = -3(-0.05 +0.25p) = 0.15-0.75p
A doesn't work because -3(0.15 - 0.2 +0.25p) = -0.45+0.6-0.75
C doesn't work because 3(0.15+0.2+0.25p) = 0.45+0.6+0.75 which doesn't equal -0.45+0.6-0.75.
E doesn't work because 0.15-0.2 = -0.05 not 0.05.
The estimate of the total sales is $3,055,510.08.
First I created a scatter plot of the data given for yellow golf balls and calculated the linear regression for it. Screenshots are attached.
The regression equation (equation for the line of best fit) was
y = 16488x + 189312, where x represents the year number and y is the total yellow golf balls.
We are concerned with year 4, so we will substitute 4 for x:
y = 16488(4) + 189312 = 255,264
There will be around 255,264 yellow golf balls sold in year 4.
Since the ratio of yellow to white golf balls is 1:5, we can set up a proportion:
1/5 = 255264/x
Cross multiply:
1*x = 5*255264
x = 1,276,320
We expect the company to sell 1,276,320 white golf balls. This makes a total of:
1,276,320 + 255,264 = 1,531,584 total golf balls expected to be sold in year 4.
Since these are sold in boxes of 12, we divide this by 12:
1,531,584/12 = 127,632 boxes expected to be sold
Each box is 23.94:
127632*23.94 = 3,055,510.08
Answer:
Step-by-step explanation:
Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...
b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought
b + z = 30 . . . . . . they bought a total of 30 packs
Using the first equation to substitute into the second, we have ...
(2z -3) +z = 30
3z -3 = 30
3z = 33 . . . . . . add 3
z = 11
b = 2·11 -3 = 22 -3 = 19
_____
<em>Check</em>
b + z = 19 + 11 = 30 . . . . answer checks OK
Zack bought 11 packs; Brian bought 19 packs of gum.
Answer:
9xy|xy|
Step-by-step explanation:
25xy*V81x^2y^2/V625=25xy*9|xy|/25=9xy|xy|
