30 POINTS cpm high school math

STUDENT HOURS KATY 5.5

mario62 [17]

The best answer to go with is b

4 0

3 years ago

Solve the proportion. i need help. x+3/6=8/3 x=?

stellarik [79]

Answer:

x = 2 1/6 (13/6)

Step-by-step explanation:

to solve the proportion you must first find the LCF or least common factor

that is 6

so turn 8/3 into 16/6 by multiplying it by 2/2

x + 3/6 = 16/6

then you subtract 3/6 from both sides

x = 13/6

x is 2 1/6

6 0

2 years ago

Read 2 more answers

Two cats, Fluffy and Fireball, met in the park. Fluffy's tail is 1/3, of a meter long. Fireball's tail is 1/4 of a meter long.

Lunna [17]

1/3 - 1/4 = 4/12 - 3/12 = 1/12....Fluffy's tail is 1/12 meters longer then Fireball's tail

6 0

3 years ago

Read 2 more answers

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Ksenya-84 [330]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

$x+y \leq20$ --------> inequality $1$

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $1$

$6x+10y \geq 75$ --------> inequality $2$

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $2$

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N $3$

Let

$A(10,10)$ ------> see the attached figure N $3$

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

$A(10,10)$

substitute the value of x and y in the inequalities

inequality $1$

$10+10 \leq20$

$20 \leq20$ ------> is ok

inequality $2$

$6*10+10*10 \geq 75$

$160 \geq 75$ -------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

7 0

3 years ago

Matthew currently has enough money to buy 45 toy cars. If the cost of each car was 10 cents less, Matthew could buy 5 more cars.

Law Incorporation [45]

The answer is $45

Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has

Matthew currently has enough money to buy 45 toy cars:
y =45x
If the cost of each car was 10 cents less, Matthew could buy 5 more cars:
y = (x - 10)*(45 + 5)

45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1

y = 45x = 45 * 1 = $45

5 0

3 years ago