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PIT_PIT [208]
3 years ago
11

X = – 2y – 1 x = – 5y + 5

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

x = -5

y = 2

Step-by-step explanation:

x = – 2y – 1

= -x - 2y - 1

-x - 2y = 1

x = – 5y + 5

= -x - 5y + 5

-x - 5y = -5

-x - 2y = 1

-x - 5y = -5

___________--

3y = 6

y = 6/3

<u>y = 2</u>

-x - 2y = 1

-x - 2(2) = 1

-x - 4 = 1

-x = 1 + 4

-x = 5

<u>x = -5</u>

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If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1
olya-2409 [2.1K]

Answer:

C)1 h 05 min

Step-by-step explanation:

If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min

The journey time is calculated as:

Arrival time - Departure time

= 04:50 - 03:45

= 01:05

Therefore, the journey time = 1 hr 05 minutes

Option C is correct

3 0
2 years ago
The recipe for cereal squares uses the ratio 20 large marshmallows to 3 cups of cereal. The ratio of mini-marshmallows to large
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The relationships are:

20 large marshmallows = 3 cups cereal

3 mini marshmallows = 1 large marshmallow

 

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3 years ago
A running relay team ran a 400 meter race in a record-setting time of 36 seconds. What was their average speed to the nearest te
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Distance = speed x time
speed = distance/time
time = distance / speed

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8 0
2 years ago
What is. - 3 7/8 × - 4 3/5 help please
Yakvenalex [24]

Answer:

713/40 or as mixed fraction of 17 33/40 (see setps below)

Step-by-step explanation:

Simplify the following:

-(3 + 7/8) (-(4 + 3/5))

Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).

(-1)^2 = 1:

(4 + 3/5) (3 + 7/8)

Hint: | Put the fractions in 3 + 7/8 over a common denominator.

Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:

(4 + 3/5) (8×3)/8 + 7/8

Hint: | Multiply 8 and 3 together.

8×3 = 24:

(4 + 3/5) (24/8 + 7/8)

Hint: | Add the fractions over a common denominator to a single fraction.

24/8 + 7/8 = (24 + 7)/8:

(4 + 3/5) (24 + 7)/8

Hint: | Evaluate 24 + 7 using long addition.

| 1 |  

| 2 | 4

+ | | 7

| 3 | 1:

(4 + 3/5)×31/8

Hint: | Put the fractions in 4 + 3/5 over a common denominator.

Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:

31/8 (5×4)/5 + 3/5

Hint: | Multiply 5 and 4 together.

5×4 = 20:

((20/5 + 3/5)×31)/8

Hint: | Add the fractions over a common denominator to a single fraction.

20/5 + 3/5 = (20 + 3)/5:

31/8 (20 + 3)/5

Hint: | Evaluate 20 + 3.

20 + 3 = 23:

23/5×31/8

Hint: | Express 23/5×31/8 as a single fraction.

23/5×31/8 = (23×31)/(5×8):

(23×31)/(5×8)

Hint: | Multiply 5 and 8 together.

5×8 = 40:

(23×31)/40

Hint: | Multiply 23 and 31 together.

| 3 | 1

× | 2 | 3

| 9 | 3

6 | 2 | 0

7 | 1 | 3:

Answer: 713/40

________________________________________

Convert to a mixed number:

713/40

Hint: | Use long division to get a quotient and remainder.

Divide 713 by 40:

4 | 0 | 7 | 1 | 3

Hint: | How many times does 40 go into 71?

40 goes into 71 at most one time:

| | | 1 | |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

Hint: | How many times does 40 go into 313?

40 goes into 313 at most 7 times:

| | | 1 | 7 |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 |  

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 1 | 7 | (quotient)

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 713/40 is 17 with remainder 33, so:

Answer: 17 33/40

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3 years ago
Consider a point, N, located at (6, 8). Name the
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Answer: (6,16)
(6,2)
(-2,8)
(14,8)
5 0
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