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horsena [70]
2 years ago
13

Select the choice that translates the following verbal phrase correctly to algebra: y less than 21

Mathematics
2 answers:
Reil [10]2 years ago
7 0
21-y because they are asking for the answer to be y (a number) less than 21
8_murik_8 [283]2 years ago
4 0
Y less than 21 = 21 - y

Remember, "less than" indicates a subtraction with the terms in inverted order.

Hope I helped!
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A grid shows the position of a subway stop at your house. The subway stop is located at (-5, 2) and your house is located (-9,9)
aleksley [76]
A(-5;\ 2);\ B(-9;\ 9)\\\\|AB|=\sqrt{(-9-(-5))^2+(9-2)^2}=\sqrt{(-4)^2+7^2}=\sqrt{16+49}\\\\=\sqrt{65}\approx8\ (units)
3 0
3 years ago
Need help please thanks
Ivahew [28]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
Perimeter of a rectangle is 52 feet. If the length is 10 less than 2 times the width, what is the width?
ella [17]

Step-by-step explanation:

Let the width be x feet.

Therefore, length = 2x - 10

Perimeter of rectangle = 52

2(2x - 10 + x) = 52 \\ 2(3x - 10) = 52 \\ \therefore \:  3x - 10 =  \frac{52}{2} \\ \therefore \:  3x - 10 = 26\\ \therefore \:  3x = 26 + 10\\ \therefore \:  3x = 36 \\ \therefore \:  x =  \frac{36}{3} \\ \therefore \:  x =  12 \\ \purple{ \boxed{\therefore \: width \: of \: rectangle = 12 \: feet }}

6 0
2 years ago
A concession stand at an athletic event is trying to determine how much to sell cola and iced tea for in order to maximize reven
Cerrena [4.2K]

Solution :

Demand for cola : 100 – 34x + 5y

Demand for cola : 50 + 3x – 16y

Therefore, total revenue :

x(100 – 34x + 5y) + y(50 + 3x – 16y)

R(x,y)  = $100x-34x^2+5xy+50y+3xy-16y^2$

$R(x,y) = 100x-34x^2+8xy+50y-16y^2$

In order to maximize the revenue, set

$R_x=0, \ \ \ R_y=0$

$R_x=\frac{dR }{dx} = 100-68x+8y$

$R_x=0$

$68x-8y=100$  .............(i)

$R_y=\frac{dR }{dx} = 50-32x+8y$

$R_y=0$

$8x-32y=-50$  .............(ii)

Solving (i) and (ii),

4 x (i)    ⇒       272x - 32y = 400

     (ii)   ⇒   (-<u>)     8x - 32y = -50   </u>

                        264x        = 450

∴   $x=\frac{450}{264}=\frac{75}{44}$

     $y=\frac{175}{88}$

So, x ≈  $ 1.70      and    y = $ 1.99

    R(1.70, 1.99) = $ 134.94

Thus, 1.70 dollars per cola

          1.99 dollars per iced ted to maximize the revenue.

Maximum revenue = $ 134.94

4 0
3 years ago
The first soccer team scored 8 goals in 4 games. The second soccer team scored 27 goals in 9 games. Which soccer team scored mor
Hatshy [7]

Answer:

The Second Soccer Team

Step-by-step explanation:

First Team: 8/4=2

Second Team: 27/9=3

The first team scored 2 goals per game while the second team scored 3 goals per game.

5 0
3 years ago
Read 2 more answers
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