Answer:
E. If two angles are complimentary, then the sum of the measures of the angles is 90.
Step-by-step explanation:
<h3>The number of beads lina has is 31</h3><h3>
Laura made a mistake by adding the constant 7 and variable 4b</h3>
<em><u>Solution:</u></em>
Given that,
Laura wrote and solved the following expression to find the total number of beads Lina has
There are 6 beads in each packet
7+4b = 11b
= 11(6)
=66
From given,
Lina has a total of 7 + 4b beads
Given that, There are 6 beads in each packet
Substitute b = 6
7 + 4(6)
Simplify
7 + 24
Add
31
Thus, she has a total of 31 beads and not 66 beads
Laura made a mistake by adding the constant 7 and variable 4b
But a constant and variable cannot be added
Answer:
Step-by-step explanation:
She has 50$. A jacket is on for 48.20$. The tax is 6% of the product you buy.
6% = 0.06
To find 6% you do:
0.06*48.20
Which is 2.892.
You ADD 2.892 to the price.
48.20+2.892=
51.092. Round it:
51.09 > 50.00
No, she does not have enough.
Step-by-step explanation:
Part A:
4x² - 7x - 15
a, b, c = 4, -7, -15
ac = -60
factors that add up to -7 and multiply to -60 are (-12, 5)
rewrite equation
(4x² - 12x) + (5x - 15)
factor out GCF from both groups
4x(x - 3) + 5(x - 3)
(4x+5)(x-3)
Part B:
Using the factored form from the previous part we can set both factors equal to 0 to solve for x.
4x+5 = 0
4x = -5
x = -5/4
x-3 = 0
x = 3
the two x-intercepts are -5/4 and 3
Part C:
Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.
Answer:
The required probability (P) is :
Step-by-step explanation:
Probability of meeting random person who has same birthday as you = 
Probability of meeting random person who do not has same birthday as you =
Now, to find the required probability that the 25th person you meet is the first person who has the same birthday as you = (Probability that the first 24 persons we meet did not have same birthday as you) × (Probability that the first 25 persons we meet has same birthday as you)
Therefore,
