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Sedaia [141]
3 years ago
6

Solve for x in the diagram below.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

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Trevor solved the system of equations below. What mistake did he make in his work? 2x + y = 5 x − 2y = 10 y = 5 − 2x x − 2(5 − 2
Arturiano [62]
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
\boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\
x=0 \\ \\
2(0)+y=5 \\
y=5

If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.

The answer is C.

Here's the correct solution:
2x+y=5 \\
x-2y=10 \\ \\
y=5-2x \\
x-2(5-2x)=10 \\
x-10+4x=10 \\
5x-10=10 \\
5x=10+10 \\
5x=20 \\
x=\frac{20}{5} \\
x=4 \\ \\
y=5-2x \\
y=5 - 2 \times 4 \\
y=5-8 \\
y=-3 \\ \\
(x,y)=(4,-3)
5 0
3 years ago
Share £150 in the ratio 1: 4: 5
kobusy [5.1K]
You add the ratio numbers to make 10 then divide 150 by 10. (15)
then you multiply 15 by 1:4:5
to make 15:60:75
6 0
4 years ago
Ten hunters are waiting for ducks to fly by. When a flock of ducks flies overhead, the hunters fire at the same time, but each c
Lerok [7]

Answer:

The expected number of ducks that escape unhurt is:

5

Step-by-step explanation:

First the process is binomial process. Having said this, we have 10 hunters, and 10 ducks flying overhead while the hunter take their shot at the same time.

By expected value, we mean average or mean. And the mean of a binomial distribution is:

Mean => E(x) = np.

We must also know that there is only two probability possibilities:

1. The hunter hits the duck (p)

2. The hunter misses the duck (1-p) = q.

Hence;

p = 1/2, and (1-p) = 1/2.

Therefore;

E(x) = np; where n is the total number of hunter.

E(x) = 10*(1/2) = 5

The expected number of ducks that escape unhurt is 5

3 0
4 years ago
3x – 15y = 12<br> 2x - 10y = 8<br><br><br> What is the ordered pair?
katrin [286]
The answer should be 9,1
5 0
3 years ago
The figure above shows a store’s supply-demand graph for coffee makers. If the store sells $375 worth of coffee makers, which of
Brrunno [24]
Answer:
b. $25

step-by-step explanation:
$375 / 15
25 coffee makers
$375 / 25
15 coffee makers
$375 / 40
9.375 coffee makers which makes no sense
$375 / 55
6.81818182 coffee makers which also makes no sense
coffee makers are usually over $20 so b makes the most sense here
5 0
3 years ago
Read 2 more answers
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