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Mamont248 [21]
3 years ago
7

Y = –x + 4 x + 2y = –8 How many solutions does this linear system have?

Mathematics
1 answer:
kvasek [131]3 years ago
4 0
X + 2y = -8 
-x - y = -4

y = -12

x = -8 - 2 (-12) = -8 + 24 = 16 


It has a one solution 
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What substitution should be used to rewrite 4x12 – 5x6 – 14 = 0 as a quadratic equation? u = x2 u = x3      u = x6      u = x12
Arada [10]
Sent a picture of the solution to the problem (s).

5 0
3 years ago
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Cadie is going to toss three coins simultaneously. What is the probability that exactly two of the coins will land on heads?
Contact [7]

For each coin, there are <u>2 outcomes</u>, heads (H) or tails (T), so for the <u>3 coins</u>, the number of outcomes are:

2 x 2 x 2 = <u>8 outcomes:</u>

HHH / HHT / HTH / THH / TTT / TTH / THT / HTT

Out of all these outcomes, there are <u>3 ways</u>, we get exactly 2 Heads:

HHT / HTH / THH

So, the probability of exactly 2 coins landing on Heads is 3/8, or 0.375

4 0
3 years ago
A cyclist rides his bike at a speed of 18 miles per hour. What is this speed in feet per second? How many feet will the cyclist
Kisachek [45]

Answer:

The distance travel by cyclist in 20 seconds is 528 feet .

Step-by-step explanation:

Given as :

The speed of cyclist riding bike = s = 18 miles per hour

Let The distance cover by cyclist in 20 seconds = d feet per sec

<u>Now, According to question</u>

∵ 1 miles = 5280 feet

∴ 18 miles = 5280 × 18 = 95,040 feet

So, The speed of cyclist in feet per hour = 95,040 feet per hour

<u>Again,</u>

∵ 1 hours = 3600 seconds

So, The speed of cyclist in feet per sec = \dfrac{95040}{3600} ft/sec

∴ The speed of cyclist in feet per sec = 26.4 feet per second

<u>Again</u>

∵ In 1 sec the distance cover by cyclist = 26.4 feet

∴  In 20 sec the distance cover by cyclist = 26.4 × 20 feet

i.e In 20 sec the distance cover by cyclist = 528 feet

Hence, The distance travel by cyclist in 20 seconds is 528 feet . Answer

3 0
3 years ago
Each day a small business owner sells 200 pizza slices at $3.00 per slice and 85 sandwiches at $2.50 each. Business expenses com
klio [65]

How much are the owner's expenses for 10 days?

10 * 130 = $1300

 

How much money does the owner make selling pizzas per day?

200 * 3 = $600

 

How much money does the owner make selling sandwiches per day?

85 * 2 = $170

 

In one day, the owner sells 600 + 170 = $770 worth of pizza and sandwiches

 

Over the course of ten days, that is 10 * 770 = $7700

 

Profit = revenue - cost = 7700 - 1300 = $6400


There ya go

5 0
3 years ago
What makes two angles exterior versus interior ?<br>​
astraxan [27]

Answer:

Any angle that is on the inside of a shape is called an interior angle.

Step-by-step explanation:

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4 0
2 years ago
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