System of equations
X+3y=73
X+y=27

Answers

Answer 1

Answer: Steps:
1. Change x + y= 27 into y=mx+ b form
2. Subtract x on both sides
Y= -x + 27
3. Substitute the y in x + 3y= 73 for -x + 27

X + 3(-x + 27) = 73
X + -3x + 81= 73
-2x + 81= 73
4. Now subtract 81 on both sides
-2x=-8
5. X= 4
6. Now solve for y
7. Now substitute the x in x + y= 27 for 4
8. 4 + y= 27
9. Subtract 4 on both sides
10. Y= 23
11. Your answer is: x= -4 and y= 23 or (-4,23)

Answer 2

Answer: x+3y=73
x+y=27

Multiply the second equation by -3.

x+3y=73
-3x-3y=-81

Now add.

-2x=-8
x=4

Plug in 4.

4+y=27
Subtract 4 from both sides.
y=23

Answer with explanation:

Formula used here ,

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

It is given that the distance between Meredith and her friends house =2 4 blocks

Then At Speed = 1 block per minute.

$\text{Time}=(24)/(1)$ = 24 minutes.

At Speed = 2 block per minute.

$\text{Time}=(24)/(2)$ = 12 minutes.

At Speed = 3 block per minute.

$\text{Time}=(24)/(3)$ = 8 minutes.

At Speed = 4 block per minute.

$\text{Time}=(24)/(4)$ = 6 minutes.

At Speed = 6 block per minute.

$\text{Time}=(24)/(6)$ = 4 minutes.

At Speed = 8 block per minute.

$\text{Time}=(24)/(8)$ = 3 minutes.

At Speed = 10 block per minute.

$\text{Time}=(24)/(10)$ = 2.4 minutes.

At Speed = 12 block per minute.

$\text{Time}=(24)/(12)$ = 2 minutes.

At Speed = 24 block per minute.

$\text{Time}=(24)/(24)$ = 1 minute.

This problem can be solved by using the formula for

linear motions. The formula relating velocity, distance and time is:

t = d / v

where t is time, d is distance and v is velocity

We are given that d = 24 blocks

When v = 1 block / minute

t = 24 blocks / (1 block / minute)

t = 24 minutes

When v = 2 block / minute

t = 24 blocks / (2 block / minute)

t = 12 minutes

Hence we can see that it takes half the time when she is

travelling at 2 blocks per minute.

Sami and her friend went to the candy store.each of them purchased a bag of jelly beans. Sandra bag weighed 1.5 pounds. Her friends bagweighed 2.5 pounds. If the candy is $4.50 per pound, how much did they spend altogether?

Answers

If the candy is $4.50 per pound, Sami and her friend spent $ 18 altogether.

Solution:

Given that, Sami and her friend went to the candy store.

Each of them purchased a bag of jelly beans

Weight of sami bag = 1.5 pound

Weight of her friend bag = 2.5 pound

Cost of candy per pound = 4.50

We have to find how much did they spend altogether

Total weight of candy = Sandra bag weight + her friend bag weight

= 1.5 + 2.5 = 4 pounds

Total cost = number of pounds x 4.5 per pound

$=4 * 4.5=18$

Hence, they spent $ 18 altogether.

PLEASE HELP I WANT TO GRADUATE EARLY Points A(-3, -3) B(-2, 2) C (3, 3), and D(2, -2) are the vertices of a quadrilateral
A- use the distance formula to determine the length of each side of the quadrilateral. Show your work
B- explain whether the quadrilateral is a rhombus

Answers

Answer:

See explanation

Step-by-step explanation:

Points A(-3, -3), B(-2, 2), C(3, 3), and D(2, -2) are the vertices of a quadrilateral.

Find lengths of the sides as distances between points:

$AB=√((-2-(-3))^2+(2-(-3))^2)=√(1^2+5^2)=√(26)\ units\n \nBC=√((3-(-2))^2+(3-2)^2)=√(5^2+1^2)=√(26)\ units\n \nCD=√((2-3)^2+(-2-3)^2)=√(1^2+5^2)=√(26)\ units\n \nAD=√((2-(-3))^2+(-2-(-3))^2)=√(5^2+1^2)=√(26)\ units$