The cost of scarf is $11 and the cost of hat is $6.
<u>Step-by-step explanation:</u>
<u>Let us assume :</u>
- The cost of hat be 'h'.
- The cost of scarf be 's'.
<u>Given that,
</u>
The cost of 6 hats and 1 scarf is $47
⇒ 6h + s = 47 ------(1)
The cost of 3 hats and 2 scarves is $40
⇒ 3h + 2s = 40 -------(2)
<u>Solving the equations to find x and y values :
</u>
Multiply eq(2) by 2 and subtract eq(2) from eq(1),
6h + s = 47
-<u>(6h + 4s = 80)
</u>
<u>
</u> <u> -3s = - 33</u>
-3s = - 33
s =33/3
s = 11
The cost of scarf is $11.
Substitute s=11 in eq(1),
6h + 11 = 47
6h = 47 - 11
6h = 36
h = 36/6
h = 6
The cost of hat is $6.
Answer:
47.25 + 23.75 = 71
Step-by-step explanation:
The initial value of an exponential function is the y-intercept of the function
The initial value of the exponential function is 2.
From the question, we understand that the exponential function crosses the y-axis at point (0,2)
This means that, the value of y when x = 0 is 2
In other words, the y-intercept is 2.
Hence, the initial value of the exponential function is 2.
Read more about exponential functions at:
brainly.com/question/2456547
We want to find the probability that Berenice gets all the answers correct.
<u>1 question:</u>
Each question has 4 options, each option has the same probability of being the correct option, so she has a 25% of<u> randomly selecting the correct option.</u>
Then the probability here will just be equal to the number of correct options (1) over the total number of options (4)
p = 1/4
2 questions:
We already know the probability for one question, then the probability of getting two questions correct will be equal to the <u>product of the individual probabilities</u> for each question:
p = (1/4)*(1/4 = 1/16
3 questions:
Similar approach as before:
p = (1/4)*(1/4)*(1/4) = 1/64
4 questions:
p = (1/4)*(1/4)*(1/4)*(1/4) = 1/256
If you want to learn more, you can read:
brainly.com/question/23044118
