Answer:

Explanation:
This is a typical problem to solve with a system of two linear equations.
<u>1. Name the variables</u>:
<u>2. First equation</u>:
- Lattes for $4 ⇒ sale from L lattes = 4L
- Cappuccinos for $3. ⇒ sale fro C cappuccinos = 3C
- Last Friday, the sales totaled $252 ⇒ 4L + 3C = 252
First equation: 4L + 3C = 252
<u>3. Second equation</u>:
- The number of lattes sold was 6 more than 4 times the number of cappuccinos ⇒L = 6 + 4C
Second equation: L = 6 + 4C
<u>4. Solve the system:</u>
Substitute L on the first equation with 6 + 4C
Solve:
- Distributive property: 24 + 16C + 3C= 252
- Add like terms: 24 + 19C = 252
- Subtraction property of equalities: 19C = 252 - 24
- Do the operation: 19C = 228
- Division property of equalities: C = 228 / 19
Subsitute C = 12 in L = 6 + 4C
- L = 6 + 4(12) = 6+ 48 = 54
<u>Answer: 54 lattes were sold</u>
Answer:
choice B
Step-by-step explanation:
because the rest of the answer all have an input that have different outputs
Answer:the probability that the diameter of a randomly selected pencil will be less than 0.285 inches is 0.06681
Step-by-step explanation:
Since the diameters of pencils produced by a certain machine are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = diameters of pencils produced by a certain machine
u = mean diameter
s = standard deviation
From the information given,
u = 0.30 inches
s = 0.01 inches
We want to find the probability that the diameter of a randomly selected pencil will be less than 0.285 inches. It is expressed as
P(x lesser than 0.285)
For x = 0.285
z = (0.285 - 0.3)/0.01 = - 1.5
Looking at the normal distribution table, the corresponding z score is
0.06681
Answer:
The circumference is 75.36 inches.
Step-by-step explanation:
Hi there! Please take a look at the following explanation and let me know in the comment if you have any doubts!
<h3>Given:</h3>
We are given the <u>radius</u> that’s equal to <u>12 inches</u> and π = <u>3.14</u>
<h3>Problem:</h3>
We want to find <u>the circumference</u>.
<h3>Circumference Formula:</h3>
which simply means <em>circumference = 2*π*radius</em> or sometimes can also be written as
which means <em>circumference = π*diameter </em>since 2r means two times of radius and that’s technically diameter.
<h3>Step:</h3>
Determine the following:
- π = 3.14 as given
- r = 12 as given
Apply the circumference formula.

Hence, the circumference is <u>75.36 inches</u>.
To get the answer you need to combine like terms.
4x+ x= 5x
2y- y= y
This gives you 4(5x + y)
Distribute the 4.
4*5x+ 4*y
20x + 4y
The answer is C.