MATHEMATICS HIGH SCHOOL

8. What is the solution to the system? y = 1/2x, 2x + 3y = 28A) (2, 3)
B) (8, 4)
C) (7, 3.5)
D) (2, 14)

Answers

Answer 1
Answer: y=(1)/(2)x \n2x+3y=28 \n \n\hbox{substitute } (1)/(2)x \hbox{ for y in the second equation:} \n2x+3 ((1)/(2)x)=28 \n2x+(3)/(2)x=28 \ \ \ \ \ |* 2 \n4x+3x=56 \n7x=56 \ \ \ \ \ \ \ \ \ \ \ \ |/ 7 \nx=8 \n \ny=(1)/(2)x=(1)/(2) * 8=4 \n \n\boxed{(x,y)=(8,4)} \Leftarrow \hbox{answer B}

Related Questions

The addition property of equality lets you say that if 2x-5=10 then 2x =____1557.520
PLEASE HELP I NEED THIS BY TONIGHT I WILL GIVE AS MUCH POINT AS I CAN2. Debra’s mom is cleaning out the pantry and finds a mixture for 42 cups of iced tea. She doesn’t want to waste the mixture and suggests that Debra donate it to her book club to make more pineapple tea to sell at the next social. (a) How much lemon juice and pineapple juice will the club need to purchase to use up the 42 cups of iced tea? Show your work.(b) It costs $1.18 for a 12 oz container of lemon juice. How many containers does the club need to buy and how much will it cost? Show your work and explain your answer.(c) It cost a total of $20.50 to buy all the lemon juice and the pineapple juice needed. How much did the pineapple juice cost? Show your work.
How many solutions does this system have 2x+y=3 6x=9-3y one none infinite two
D + 8/9 = -4, what does d equal?
Log81 1/9= need help with this

I NEED HELP PLEASE ASAP!

Answers

Answer:

make a line with arrows at the end. On the line, make a hash mark and label it -13. on the hash mark, make a filled-in circle and color the number line to the left of the circle, including the arrow.

Step-by-step explanation:

This is how you show it. :)

I need help on these 2

Answers

8)
6(2+2p)=-8(4-p)
12+12p=-32+8p
-8p -8p
12+4p=-32
-12 -12
4p=-44
/4 /4
p=-11

*whatever you do to one side of the equation you have to do to the other

What is the formula to find the depth of a cube

Answers

you multiply height by width by length 

My little sister, Savannah, is three years old. she has a piggy bank that she wants to fill. She started with five pennies and each day when I come home from school she is excited when I give her three pennies left over from my lunch money. Create a mathematical model for the number of pennies in the piggy bank on day n

Answers

The model would be:

p = 3n + 5

where p = the number of pennies Savannah has and n = the number of days that have passed.

This model works because each day, Savannah gets three pennies, shown in the equation as "3n."  The "+ 5" at the beginning is there because the problem states that Savannah starts with 5 pennies.

True or false: You can represent the following situation with a division expression.Joshua has three cats. Over a week they eat a total of 14 pounds of food. On average how much food does each cat eat in a week?


True

False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

To represent the situation, you would have to do 14÷3 because there are 3 cats that eat 14 pounds of food in a week and to figure out how much a cat eats in a week, you would have to divide.

"The inverse of every function must be a function itself." State whether you agree or disagree with the statement providing evidence to support your position.

Answers

A function that is its own inverse is called  a involution. It is not necessary the inverse of every function must be a function itself.”

Step-by-step explanation:

Inverse is a function that reverse itself

Lets ,consider an equation  used to convert temperature in degrees Fahrenheit( F), to a temperature in degrees Celsius,(C)

C=3/9(F-32)

​But suppose ,we want a equation that did the reverse  that means it converted a temperature in degrees Celsius to a temperature in degrees Fahrenheit. Then we inverse the function as

F=3/9(C+32)
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