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IgorC [24]
2 years ago
14

What is the solution for r in the following system of equations? 2x + 3y = 16 2 + 2y = 10

Mathematics
1 answer:
klio [65]2 years ago
8 0

Answer:

(2,4)

*View attached graph*

Step-by-step explanation:

2x + 3y = 16

2 + 2y = 10

2 + 2y = 10

-2          - 2

2y = 8

/2  /2

y = 4

2x + 3y = 16

2x + 3(4) = 16

2x + 12 = 16

    - 12   - 12

2x = 4

/2   /2

x = 2

(x,y) -> (2,4)

Hope this helps!

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Bezzdna [24]

Jerome bought C. 4\frac{7}{8} pounds of candy.

Step-by-step explanation:

Step 1:

First, we must convert the mixed fractions into improper fractions. To do that we multiply the whole number with the denominator and add with it the numerator while the denominator remains the same.

To convert this fraction 1\frac{1}{2} = \frac{(1)(2)+1}{2} =\frac{3}{2} .

To convert this fraction 2\frac{3}{4} = \frac{(2)(4)+3}{4} =\frac{11}{4} .

So Jerome bought \frac{3}{2} pounds of jelly beans, \frac{5}{8} pounds of gumballs and \frac{11}{4} pounds of chocolate.

Step 2:

We add all the values to determine the total candy bought.

\frac{3}{2} +\frac{5}{8} + \frac{11}{4} = \frac{(4(3)+1(5)+2(11))}{8} .

\frac{(4(3)+1(5)+2(11))}{8}  = \frac{39}{8} .

\frac{39}{8} can also be written as 4\frac{7}{8}.

So Jerome bought 4\frac{7}{8} pounds of candy which is option C.

6 0
4 years ago
Simplify 8 to the power of P times 3
elixir [45]

Answer: 24^p

Step-by-step explanation:

8 ^p x 3

To simplify the above, multiply the whole numbers

8 x 3 = 24

24^p

5 0
4 years ago
The sum of a number and it's reciprocal is 2 1/30 find the number
Marina86 [1]
Hopefully you are able to clearly see the steps I have taken toward solving this problem in the attachment. In case you have trouble understanding what a reciprocal is, the reciprocal of a number is simply the number flipped. So, if you are given 1/2 and asked what the reciprocal is, it would be 2/1, or just 2. That being said, if you are given a whole number, simply remember that a whole number is ALWAYS equal to itself over one. So, in this case, the "sum of a number and its reciprocal" would be n + 1/n

8 0
3 years ago
HELP PLEASEQuestion 2 (Mandatory) (1 point)
bija089 [108]

Answer:

D.-7

Step-by-step explanation:

4 0
3 years ago
Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits.
Gnesinka [82]
Let the number of islands visited be x and that peninsulas be y
thus,
x+y=19
⇒y=19-x.........i
if he skydives twice in islands and thrice in peninsulas, then the total number of skydives will be:
2x+3y=45.....ii

substituting i in ii we get:
2x+3(19-x)=45
2x+57-3x=45
putting like terms together we get:
2x-3x=45-57
-x=-12
therefore
x=12
and
y=19-x=19-12=7
hence the number of islands visited was 12 and that of peninsulas was 7

3 0
3 years ago
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