10a) <u>x = 81</u> <u>y = 30.5</u>
Isolate y
2y + 20 = x
2y = x- 20
y = x/2 - 10
Plug in for y
4y - 6 + 64 + x = 180
4(x/2 - 10) - 6 + 64 + x = 180
4x/2 - 40 -6 + 64 + x = 180
4x/2 + 18 = 180
4x/2 = 162
4x = 324
x = 81
Plug in for x
2y + 20 = x
2y + 20 = 81
2y = 61
y = 30.5
10b) <u>x = 47</u>
Isolate x
4x -12 = 3x + 35
x - 12 = 35
x = 47
11)
2. definition of parallelogram
3. < ABD ≅ < BDC
4. < CBD ≅ <BDA
6. I'm not 100% sure what this one is but I think it has something to do with the line of symmetry.
Hope this helps! ;)
in short, 25% is just 1/4 of anything, we know she's sold 25% which is $600, so her daily goal must be 1/4 + 1/4 + 1/4 + 1/4, or namely 600 + 600 + 600 + 600 = 2400.
Answer:
<h2>Expenses= Allowance</h2>
Step-by-step explanation:
<em>The statements are not provided in the question, however, we can deduce from the information given.</em>
in the information provided, expenses are -ve(negative)
and allowances are +ve (positive)
if at the end of the month she balances are account and the total is zero
We can conclude that:
1. Her total expenses is equal to her allowance for the month
2. Meg spent all her allowances for the month
Answer:
230 capsules.
Step-by-step explanation:
The following data were obtained from the question:
Taste >>>>>>>>>>> Frequency
Volluto >>>>>>>>>> 12
Livanto >>>>>>>>>> 7
Ristretto >>>>>>>>> 23
Cosi >>>>>>>>>>>> 3
Other >>>>>>>>>>> 5
Next, we shall determine the total frequency.
This is illustrated below:
Total frequency = 12 + 7 + 23 + 3 + 5
Total frequency = 50
Finally, we shall determine the number of Ristretto in 500 capsules.
This can be obtained as follow:
Number of Ristretto = Frequency of Ristretto /total frequency x total capsule
Frequency of Ristretto = 23
Total frequency = 50
Total capsule = 500
Number of Ristretto = 23/50 x 500
Number of Ristretto = 23 x 10
Number of Ristretto = 230.
Therefore, the number of Ristretto in the 500 capsules is 230.
It is irrational because it’s not terminating (please hit “thanks”