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3 years ago

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Dell's coffee shop sells cappuccinos, mochas, and lattes. The table gives the number of servings of each beverage sold in a day.

Small Medium Large Cappuccino 70 55 62 Mocha 42 34 39 Latte 59 63 47 For a particular serving size, all three coffee drinks cost the same. A small serving costs $1.50, a medium serving costs $2.00, and a large serving costs $2.50. Which matrix gives the revenue generated from sales of each of the three beverages?

1 answer:

netineya [11]3 years ago

6 0

Answer:

$C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right]$

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The quotient of 3 times a number and 7 is 15. Find the number<br> pls help me

Ronch [10]

Answer:

it would be 3 times 35 divded by 7 and that answer would give you 15 as the answer so 35 is your missing number

Step-by-step explanation:

4 0

3 years ago

Please could you explain this step by step I’m really stuck.

allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
$5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)$
$5 + \frac{4x + 12}{x + 2} = 2x + 6$
$5(x + 2) +4x + 12 = (2x + 6)(x + 2)$
$5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12$
$9x + 22 = 2x^2 + 10x + 12$

Let's make one side equal to 0.

$0 = 2x^2 + x - 10$

Solve by factoring, and then the zero product property.

$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".

$0 = 2x^2 - 4x + 5x - 10$
$0 = 2x(x - 2) + 5(x - 2)$
$0 = (2x + 5)(x - 2)$

Using the zero product property, set each factor to 0 and solve for x.

2x + 5 = 0
2x = -5
x = -5/2 = -2.5
x - 2 = 0
x = 2

The two answers are x = -2.5, and x = 2.

3 0

2 years ago

Read 2 more answers

A letter that represents a number

shtirl [24]

That would be a variable, x being one of the most commonly used variables to represent unknown numbers.

7 0

4 years ago

Two cells are viewed and measured under a microscope. The approximate diameter

nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have

The diameter of cell P is $5*10^{-4}\ m$

The diameter of cell Q is $3*10^{-5}\ m$

Rewrite the diameter of cell P as

$5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m$

Find the difference

$50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m$

Rewrite the difference as

$47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m$

7 0

4 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

3 years ago