The graphs Ax + By: 18 and Ax - By: 6 intersect in (3,-2). He finds A and B.
please I thank you much...:)

Answers

Answer 1

Answer: substitute your point (3,-2) on both equations:
A(3)+b(-2)=18 <--equation 1
a(3)-b(-2)=6 <--equation 2
add both equations, you'll get
6A=24
A=4

substitute the value of A in any equtions
equation 1: (4)(3)-2b=18
simplify and solve for b, you'll get b=-3

thus, A=4 & B=-3

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Sandra has 18 bags of peanuts to hand out to 9 friends. How do I draw a bar diagram to help solve how many peanuts she will give each friend?

Answers

For each friend, there will be 2 numbers of peanuts.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sandra has 18 bags of peanuts to hand out to 9 friends. The number of the peanuts bag will be calculated as,

Number = 18 / 9

Number = 2 bags

Therefore, the for each friend, there will be 2 numbers of peanuts.

To know more about an expression follow

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Answer:

18÷9=2

Step-by-step explanation:

you divide 18÷9=2

Solve using a system of equations. Lucia wants to go ice skating. She must pay for admission and then rent ice-skates. Rates for two rinks near her home are shown below.Ice Plex
$5 for Admission plus $2 per hour of skate rental

Skate World
$10 for admission plus $1 per hour for skate rental

Let x represent the cost of admission in dollars and let y represent the number of hours skates are rented for. Write a system of equations to represent the problem.

Please help! I cannot figure this out

Answers

Ice Plex -Y = 2x+5Skate World-Y = 10x+1

Which number will make the fractions equivalent 25/35

Answers

You could make an equivalent fraction by multiplying both numbers by 2.

$25*2=50\n35*2=70\n \n (50)/(70)$

$(25)/(35) = (25:5)/(35:5) = (5)/(7) \n \n (25)/(35) =(25\cdot2)/(35\cdot2)= (50)/(70) \n \n (25)/(35) = (25\cdot4)/(35\cdot4) = (100)/(140)\n \n (25)/(35) = (25\cdot10)/(35\cdot10) = (250)/(350)$

in the given figure , if PQ ll SR and QP l PS , then the value of a and b respectively will be

Answers

$b=90-37=53\n a=180-90-53=37$

What is the slope intercept of (2001,17.60) and (2002,18.75)

Answers

Do you mean the slope of the line or the y-intercept
(2002-2001)/(18.75-17.60)= 0.869 =slope
y=mx + b -> 2001= 0.869 (17.60) +b -> b= 1985.7= y-intercept

Is 5.33 a rational number