What is the slope of the linear function y= -1/3x+1 is it -1/3 1/3 -1 1

The space allowed for the mascot on a school's Web page is 75 pixels wide by 60 pixels high. Its digital image is 500 pixels wi

anzhelika [568]

Answer:

It will be 60 pixels high and 75 pixels wide

Step-by-step explanation:

$\frac{400}{60}=\frac{500}{x}$

As

The space allowed for the mascot on a school's Web page is 75 pixels wide by 60 pixels high
Its digital image is 500 pixels wide by 400 pixels high

So, the expression becomes

$\frac{400}{60}=\frac{500}{x}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$400x=60\cdot \:500$

$400x=30000$

$\mathrm{Divide\:both\:sides\:by\:}400$

$\frac{400x}{400}=\frac{30000}{400}$

$\mathrm{Simplify}$

$x=75$

Therefore, it will be 60 pixels high and 75 pixels wide

Keywords: pixel, ratio

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6 0

3 years ago

A store plans to sell two different game consoles, the YuuMi and the ZBox. The store’s wholesale cost for a YuuMi is $250, and t

strojnjashka [21]

9514 1404 393

Answer:

Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0
Objective formula: p = 45x +50y
200 YuuMi and 50 ZBox should be stocked
maximum profit is $11,500

Step-by-step explanation:

Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...

250x +400y ≤ 70000

The number sold will be at most 250 units, so that constraint is ...

x + y ≤ 250

Additionally, we require x ≥ 0 and y ≥ 0.

__

A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...

profit = 45x +50y

__

A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).

200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.

4 0

2 years ago

An electrician disconnected 5 wires of different colors from their respective connections and forgot the order in which they wer

Inessa05 [86]

Answer:

120 tries

Step-by-step explanation:

You can try 5 different wires in the first connection.

Then you have 4 wires left, so you try 4 wires in the second connection. Remember, you are now trying 4 wires for each of the first 5, so up to here you already made 4 * 5 tries = 20 tries.

Next you try 3, then 2, then you have 1 left.

Number of tries: 5 * 4 * 3 * 2 * 1 = 120

Answer: 120 tries

8 0

3 years ago

Which ordered pairs are in the solution set of the system of linear inequalities? y > x y < x + 1 (5, –2), (3, 1), (–4, 2)

Elenna [48]

Which ordered pairs are in the solution set of the system of linear inequalities? (4, 2)

7 0

3 years ago

Read 2 more answers

En un consultorio medico infanfil se consultas mensualmente a 160 pacientes si la razon de cada 8 paciente 5 son niñas A ¿cuanto

Rainbow [258]

Answer: 60 of the patients are boys.

Step-by-step explanation: According to what is described, 5 in 8 patients are girls, then: 8 - 5 = 3, i.e., 3 in 8 are boys.

Mathematically the proportionality is $\frac{3}{8}$

If 160 patients have appointments per month and $\frac{3}{8}$ are boys:

160. $\frac{3}{8}$ = 60

Per month, 60 boys have appointments at the medical office.

6 0

2 years ago