How to solve x-y=102x-y=17

Answers

Answer 1

Answer: Is the equation x-y=10 and 2x-y=17?

Isolate the Y getting:
2x-17=y and x-10=y

Then bring the two equations together. Sub in the one equation for y.
2x-17 = x-10

The answer for x would be 7 (X=7)

Then pick an equation and sub in 7 for x to get your Y.

x-y=10
7-y=10
Subtract 7
-y=3
Divide the -1 from the y (Hopefully you learned why there's a 1 there)
y=-3

Answer is X=7 and Y=-3 or (7, -3)

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Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.w ≥ 0.5l

2l + 2w ≤ 180

Answers

W > 0.5L

Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

The length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.

What are inequalities?

Inequalities refers to a system of two or more quantities in which one quantity is greater than or less than the other.

Based on the data given:

W > 0.5L

Perimeter of the blanket is given as:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

L < 60

Therefore, the length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.

Learn more about inequalities at: brainly.com/question/24372553

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Select all ratios that are in their simplest form.
4:24 28:15 3:13 18:30 12:14

Answers

Answer:

1. 28:15

2. 3:13

Step-by-step explanation:

The ratios above have no common factor.

4:24 .

Common factor : 4

18:30

Common factor : 6

12:14

Common factor : 2

Answer:

28:15

3:13

Step-by-step explanation:

The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.

Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.

Which conjunction or disjunction is equivalent to |t – 7| > 12?A.
t – 7 > 12 or t – 7 < –12
B.
t – 7 < 12 and t – 7 > –12
C.
t – 7 < 12 or t – 7 > –12
D.
t – 7 > 12 and t – 7 < –12

Answers

$|t-7| > 12\ \ \ \Leftrightarrow\ \ \ (t-7>12\ \ \ \ \ or\ \ \ \ \ -(t-7)>12)\ /\cdot (-1)\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ t-7>12\ \ \ \ \ or\ \ \ \ \ \ \ \ \ \ \ t-7<-12\n\nAns.\ A$

The standard length of apencil is 19 cm long.
What is the approximate
length of a pencil in
inches?

Answers

Answer: 7.48 in

Step-by-step explanation:

Answer:

7.5 in

Step-by-step explanation:

Evaluate (2 – 5i)(p + q)i when p = 2 and q = 5ia. 29i
b. 29i-20
c.-21i
d.29

Answers

Answer:

The value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Option (a) is correct .

29i (A.) hope this helps

Use any model you choose to find the quotient.

5 divided by 1/2

Answers

The answer is 10. I know because I did the (multiplication) division.

When dividing fractions, you're actually multiplying the first number by the reciprocal(the number you get when you switch the numerator and denominator) of the second number. Your original equation looks like this:

5÷1/2

The first thing you want to do is find the reciprocal of your second number. In 1/2, the numerator is one and the denominator is two. When you switch the numerator and denominator, you get this:

2/1

Now two is the numerator and one is the denominator.
Next you will multiply 5 by 2/1 (2/1 simplifies to 2)

5*2=10

And there's your answer.

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