Answer:
All of these terms are dollar amounts.
Step-by-step explanation:
Here, x + y = 10 (where these numerals represent counts)
(1/2)x + (1/4)y = 4 (where (1/2), (1/4) and 4 are dollar amounts)
Let's eliminate y. To accomplish this, mult. the 2nd eq'n by-4, obtaining
-2x - y = -16, and then combining this with the 1st equation, as follows:
-2x - y = -16
x + y = 10
-------------------
-x = -6, or x = 6. This represents the number of pens purchased by Terrance.
Subbing 6 for x in the first equation, we get y = 4. This represents the number of pencils he bought.
($0.50)x + ($0.25)y = $4.00 (dollar amounts)
Pi times 0.8 = 2.513274123 ( one trip )
2 times 2.513274123 = 5.02654826
So the answer is 5.02654826 and you’ll round it to 5 miles
Answer:
The probability that a randomly selected consumer will recognize Amazon is 0.988.
Step-by-step explanation:
The data given in the question is
Total number of consumers = 795 + 10 = 805
Consumers who knew of Amazon = 795
Consumers who did not know of Amazon = 10
The formula for calculating probability of an event A is:
P(A) = No. of favourable outcomes/Total no. of possible outcomes
P(Recognize Amazon) = No. of Consumers who knew Amazon/Total no. of consumers
P(Recognize Amazon) = 795/805
= 0.98757
P(Recognize Amazon) ≅ 0.988
The probability that a randomly selected consumer will recognize Amazon is 0.988.
Given:
![m\angle ABC=60](https://tex.z-dn.net/?f=m%5Cangle%20ABC%3D60)
To find:
The
.
Solution:
In circle B,
is central angle and
is inscribed angle from two points A and C.
According to central angle theorem, central angle is always twice of inscribed angle.
[Central angle theorem]
![60=2(m\angle ADC)](https://tex.z-dn.net/?f=60%3D2%28m%5Cangle%20ADC%29)
Divide both sides by 2.
![\dfrac{60}{2}=m\angle ADC](https://tex.z-dn.net/?f=%5Cdfrac%7B60%7D%7B2%7D%3Dm%5Cangle%20ADC)
![30=m\angle ADC](https://tex.z-dn.net/?f=30%3Dm%5Cangle%20ADC)
Therefore,
.
Answer:
1st blank: 4
2nd blank: -8
y=2
Step-by-step explanation:
-2²=4
4(-2)=-8
1 x 4 = 4
4 + -8 = -4
-4 + 6 = 2