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poizon [28]
3 years ago
10

3. Which ordered pair is the solution to the following system of equations? y = x + 4 x+y=2

Mathematics
1 answer:
nikitadnepr [17]3 years ago
3 0

Answer:

(-1, 3)

Step-by-step explanation:

replace the occurrences of y in the equation

(x + y = 2) with x + 4

x + x + 4 = 2

2x + 4 = 2

solving for x in the first equation

2x = 2 - 4

2x = -2

2x/2 = -2/2

x = -1

replacing all occurrences of x in y = x + 4 with -1

y = (-1) + 4

y = 3

therefore the pairs are (-1, 3)

Hope it helps!

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Susan open an account with $100. She deposits $100.00 every year to an account that earns simple interests at a rate of 5%. If s
NemiM [27]

Answer:

$20

Step-by-step explanation:

multiply 100.00 x 5% which is 100x 0.05, then it will give you 5.

add 5, 4 more times which will give you 20

3 0
3 years ago
Does anyone know how to prove that OAC and OBC are Congruent.
Maksim231197 [3]
Hello,

The first step is to see that sides OA, OC, OB are all equal because they are the radii of the circle. Knowing that those sides are equal means that we have isosceles triangles. That gives us that the base angles are the same.

In OAC, we can subtract 118 from 180 to give us 62 degrees for the 2 bases angles. This would make each angle 31 degrees.

In OBC, the base angles are already 31, leaving the other angle 118.

There we have all the angles the same and 2 sides the same.

You could use SAS or ASA to prove that the triangles are congruent.

I hope this helps!
Good luck,
MrEquation
4 0
3 years ago
Read 2 more answers
a jar contains red and blue marbles the probability that a randomly-selected marble is red is 1/4 if 27 of the marbles are blue
Marina86 [1]
Hi!
So if you know the probability of choosing a red marble in that given jar is 1/4, you can then figure out what the probability of not choosing a red marble, or choosing a blue marble, is. That probability would be called the complement of 1/4, and what would be added to it to make 1. In this case, it would be 3/4.
Since 27 of the marbles are blue, and the chance of drawing a blue marble is 3/4, we can then say 27 = 3/4 of the jar. Now the easier way is to find what 1/4 then equals and add it up. Since 1/4 is 1/3 of 3/4, we can see what 1/3 of 27 is to find what 1/4 of the marbles in the jar is.
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3 0
3 years ago
Write the corresponding fraction for each of the underlined digits.
timofeeve [1]

Answer:

a. \dfrac{1277}{10000}

b. \dfrac{37}{100}

c. \dfrac{243}{1000}

d \dfrac{1156}{10000}

Step-by-step explanation:

To find the fraction of a decimal point we first need to write the decimal number as a fraction over 1.

.1277=\dfrac{1277}{1}

Then we need to multiply top number and bottom number by 10^{n} where n represents the number of decimal places it moved to make it a whole number.

In this case we moved the decimal point 4 decimal places.

So that leaves us with 10^{4}=10000.

\dfrac{.1277}{1}*\dfrac{10000}{10000}=\dfrac{1277}{10000}

Now let's do it with the rest:

b.

.37=\dfrac{37}{1}

We moved it 2 decimal places.

\dfrac{.37}{1}*\dfrac{100}{100}=\dfrac{37}{100}

c.

.243=\dfrac{243}{1}

We moved it 3 decimal places.

\dfrac{.243}{1}*\dfrac{1000}{1000}=\dfrac{243}{1000}

d.

.1156=\dfrac{1156}{1}

We moved it 4 decimal places.

\dfrac{.1156}{1}*\dfrac{10000}{10000}=\dfrac{1156}{10000}

8 0
4 years ago
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Goshia [24]

Answer:

y + 7 = x

Step-by-step explanation:

4 0
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