MATHEMATICS MIDDLE SCHOOL

Please helpppppp!!!!

Answers

Answer 1

Answer:

Answer:

A. -34.5>x

Step-by-step explanation:

The area is shaded below -34.5, so we know that x has to be less

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How much interest is earned on a principal of $671.37 invested at an interest rateof 4% for four years?
A motorist is driving across the country at a steady speed at 54.5 miles per hour. In the 17th hour, the odometer on her car reads 62,416. What was the odometer reading when she first started her trip?
Write the fraction in simplest from. 4/12, 6/10, 3/6
Ken keeps paper clips in a box that is the shape of a cube. Each side of the cube is 3inches. What is the volume of the box?

describe methods you can use to show a proportional relationship between two variables, x and y. for each method, explain how you can find the unit rate and the slope.

Answers

If the ratio of x/y or x/y is always the same constant, then a and y are directly proportional and the constant is called the constant of proportionality.

If the product of xy is always the same constant, then a and y are inversely proportional and the constant is called the constant of proportionality.

unit rates --- are like any rate found by dividing --- like speed --- miles per hour unit means 1 and this is miles traveled in one hour (at constant speed) --- so you just divide --- traveling 100 miles in 2 hours = 50 miles in 1 hour --- 50 miles per hour --- miles/hour <<< that is a unit rate

slope is a rate of change --- on an x-y coordinate axis graph the slope is the rate of change of y compared to a change in x --- this is not necessarily a unit rate ... slope of 2/3 means a change of 2 for y will create a change of 3 for x (not a change of 1, so it is not a unit rate)

Answer:

Table of Values: The ratio of (Y) to (X) gives the unit rate and slope.

Equation: If the equation can be written as y=mx, then m is the unit rate and the slope.

Graph: When the line passes through the origin, the slope of the graph gives the unit rate and the slope.

Step-by-step explanation:

you can just copy everything here, its in the teacher's book

Find the dr/d(theta) for:
r = (theta)sin(theta) + cos(theta)

Answers

$r=\theta\sin\theta+\cos\theta$

$(\mathrm dr)/(\mathrm d\theta)=(\mathrm d(\theta\sin\theta))/(\mathrm d\theta)+(\mathrm d(\cos\theta))/(\mathrm d\theta)$

By the product rule,

$(\mathrm d(\theta\sin\theta))/(\mathrm d\theta)=(\mathrm d(\theta))/(\mathrm d\theta)\sin\theta+\theta(\mathrm d(\sin\theta))/(\mathrm d\theta)=\sin\theta+\theta\cos\theta$

and

$(\mathrm d(\cos\theta))/(\mathrm d\theta)=-\sin\theta$

So we have

$(\mathrm dr)/(\mathrm d\theta)=\sin\theta+\theta\cos\theta-\sin\theta$

$\implies(\mathrm dr)/(\mathrm d\theta)=\theta\cos\theta$

The 70th term of an arithmatic sequence is 121.5 the common difference is 1.5. Find a12. (write a rule to find a12)WILL GIVE BRAINLIEST

Answers

Answer:

12th term = 34.5

Step-by-step explanation:

l = a + (n-1)*d

d = 1.5

70th term = 121.5

a + 69 * 1.5 = 121.5

a + 103.5 = 121.5

a = 121.5 - 103.5

a = 18

12 th term = 18 + 11 * 1.5 = 18 + 16.5 = 34.5

Answer:

$a_(12)$ = 34.5

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given $a_(70)$ = 121.5, then

a₁ + (69 × 1.5) = 121.5

a₁ + 103.5 = 121.5 ( subtract 103.5 from both sides )

a₁ = 18

Hence

$a_(12)$ = 18 + (11 × 1.5) = 18 + 16.5 = 34.5

In a parking lot 16% of the cars are blue . There are 4 blue cars in the parking lot. How many cars in the parking lot are not blue?

Answers

Since 4 is 16% of the cars that are blue in the parking lot, we can say that 1 car is 4% of the cars that are blue in the parking lot. Since 25 times 4 is 100 and 100 is the total number of percents, we can also say that there are 25 cars in total in the parking lot. Then, in order to find the cars that are not blue, then we can subtract 4 from 25, which brings us with 21 cars that are NOT blue. =) Hope you understood!

Answer: 21 non-blue cars

4/25 = 0.16
0.16 * 100 = 16%
25 - 4 = 21

There are 21 non blue cars in the parking lot

Show work to find the solution for the system:
x = 2y
3x - 6y = 10

Answers

Answer: No solutions

========================================

Work Shown:

3x-6y = 10

3(2y)-6y = 10 ... plug in x = 2y

6y-6y = 10

0 = 10

We get a false statement at the end.

This means the system is inconsistent with no solutions.

Graphing each equation produces two parallel lines that never intersect.

There is no solution to this problem. When you substitute 2y in for x in the equation 3x-6y=10, you will get 3(2y)-6y=10. When you multiply 3(2y), you get 6y. 6y-6y equals 0. 0 cannot equal 10.

Use the law of cosines to find the balue of cos 0 . Round to answer to two decimal places