I need help on 8 and 9 plz help me

A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, the sales totaled $252. If the number of lattes sold was

weeeeeb [17]

Answer:

$\large\boxed{\large\boxed{\text{54 lattes were sold}}}$

Explanation:

This is a typical problem to solve with a system of two linear equations.

<u>1. Name the variables</u>:

L: number of lattes

C: numberof cappuccinos

<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

4 (6 + 4C) + 3C = 252

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

Do the operation: C = 12

Subsitute C = 12 in L = 6 + 4C

L = 6 + 4(12) = 6+ 48 = 54

<u>Answer: 54 lattes were sold</u>

4 0

4 years ago

SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3

Zanzabum

Answer:

choice B

Step-by-step explanation:

because the rest of the answer all have an input that have different outputs

3 0

3 years ago

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviat

gladu [14]

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

6 0

4 years ago

Help plssssssssssssssssssss

Schach [20]

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>

$\displaystyle \large{C=2\pi r}$ which simply means <em>circumference = 2*π*radius</em> or sometimes can also be written as $\displaystyle \large{C=\pi d}$ which means <em>circumference = π*diameter </em>since 2r means two times of radius and that’s technically diameter.