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3 years ago

Which ordered pair is the solution to y − x = 3 and 2x + y = 9?

1 answer:

5 0

Y-x=3
2x+y=9

so solving by multiplying first by 2
so we get , 2y-2x=6

adding both eqn now,

3y=15
y=5

so x=2

so y=5 and x=2 !!

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Solve for y. 18y=126

morpeh [17]

The answer is y = 7. :)

6 0

3 years ago

Read 2 more answers

An angle measures 124 more than the measure of its supplementary angle. What is the measure of each angle?

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Suplementary angles add to 180°

If one of angles is 124° more than the other then if we subtract 124° from the larger angle we get two equal angles which sum is also 124° less

180° - 124° = 56°

56° - sum of two equal angles

56° ÷ 2 = 28° - the measure of smaller angle

28° + 124° = 152° - the measure of larger angle

6 0

3 years ago

An isosceles triangle has a perimeter of 33 cm. The unequal side has a length 3 cm more than the equal side. Find the length of

grigory [225]

Answer:

let equal side=x

unequal side=x+3

perimeter =33

x+x+x+3=33

3x=30

x=10

x+3=10+3

6 0

3 years ago

megan hughes deposits 2100 in an account that pays simple interest. when she withdraws her money 11 months later, she receives $

USPshnik [31]

Answer:

The rate at which the account pay the deposit is 2 %

Step-by-step explanation:

Given as :

The principal amount deposited in account = $2100

The rate of interest = r % simple interest annually

The time period = 11 months = $\frac{11}{12}$ year

The amount received = $2138.50

Now<u>, From Simple Interest method </u>

Simple Interest = $\dfrac{\textrm Principal\times \textrm rate\times \textrm time}{100}$

Or, Interest = $\dfrac{2100\times r\times \frac{11}{12}}{100}$

Or, Interest = $\frac{21\times r\times 11}{12}$

Or, Interest = 19.25 r

Now, Interest = Amount - Principal

So, 19.25 r = $2138.50 - $2100

Or, 19.25 r = $38.5

∴ r = $\frac{38.5}{19.25}$

I.e r = 2

So, rate of interest = r = 2 %

Hence The rate at which the account pay the deposit is 2 % Answer

8 0

4 years ago

Suppose that 45% of students in a college have a smart phone. If you select three students at random, what is the probability th

Sidana [21]

Answer:

$P(X=3)$

And we can use the probability mass function and we got:

$P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091$

Then the probability that all three have a smart phone is 0.091

Step-by-step explanation:

Let X the random variable of interest "number of students with smartphone", on this case we now that:

$X \sim Binom(n=3, p=0452)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=3)$

And we can use the probability mass function and we got:

$P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091$

Then the probability that all three have a smart phone is 0.091

8 0

3 years ago