Select the correct answer.

Select the correct answer from each drop-down menu.

Ostrovityanka [42]

Answer:

Both questions are true.

Step-by-step explanation:

The general mathematical equation of a line can be written as $y = ax + b$ .

If we rearrange the two equations given in the question as follows:

$5y = 3x + 22$ and $20y = 12x + 11$

We can see that they follow the general equation we defined earlier so we can say that they represents linear lines.

The $20y = 12x + 88$ given in the second question also represents a similar linear line with a different slope.

So the two questions are both true.

I hope this answer helps.

4 0

3 years ago

M/J Grade 8 Pre-Algebra-PT-FL-1205070-003

Andreas93 [3]

Answer:

Following are the description of the given course code:

Step-by-step explanation:

The given course code is Pre-Algebra, which is just an introduction arithmetic course programs to train high school in the Algebra 1. This course aims to strengthen required problem solving skills, datatypes, equations, as well as graphing.

In this course students start to see the "big picture" of maths but also understand that mathematical, algorithmic, and angular principles are intertwined to form a basis for higher mathematics education.
The duration of this code is in year and it is divided into two levels. In this, code it includes PreK to 12 Education Courses , with the general mathematics .

5 0

3 years ago

What is 56 Divided by 1456

Rudik [331]

Answer:

0.03846153846 or 2/52

Step-by-step explanation:

Just keep simplifying

56/1456=

8/208=

2/52=

7 0

3 years ago

The list shows the thickness of ice on the roads after a storm. On the line plot each x represents 1 measurement which line plot

dimulka [17.4K]

Answer:

Step-by-step explanation:

Ice sheets have one particularly special property. They allow us to go back in time and to sample accumulation, air temperature and air chemistry from another time[1]. Ice core records allow us to generate continuous reconstructions of past climate, going back at least 800,000 years[2].

Ice coring has been around since the 1950s. Ice cores have been drilled in ice sheets worldwide, but notably in Greenland[3] and Antarctica[4, 5]. High rates of snow accumulation provide excellent time resolution, and bubbles in the ice core preserve actual samples of the world’s ancient atmosphere[6].

4 0

2 years ago

Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

Ivanshal [37]

Answer:

Part 1) $168.8\%$

Part 2) $12.6\%$

Part 3) $\$7,046.15$

Part 4) $116.67$

Part 5) $0.6\%$

Part 6) $\$570$

Step-by-step explanation:

Part 1) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

What percent of 1,600 is 2,700?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is 1,600 and the portion is 2,700

so

using proportion

$\frac{100\%}{1,600}=\frac{x\%}{2,700}\\\\x=2,700*(100)/1,600\\\\x= 168.75\%$

Round to the nearest tenth of a percent

$168.75\%=168.8\%$

Part 2) Solve for the rate (as a %). Round to the nearest tenth of a percent when necessary.

$7.40 is what percent of $58.90?

Let

x ----> the rate

In this problem the base ( number that represent the 100%) is $58.90 and the portion is $7.40

so

using proportion

$\frac{100\%}{\$58.90}=\frac{x\%}{\$7.40}\\\\x=7.40*(100)/58.90\\\\x= 12.56\%$

Round to the nearest tenth of a percent

$12.56\%=12.6\%$

Part 3) Solve for the base (in $). Round to hundredths when necessary.

What is the base if the portion is $4,580 and the rate is 65%?

Let

x -----> the base

using proportion

$\frac{\$x}{100\%}=\frac{\$4,580}{65\%}\\\\x=4,580*100/65\\\\x=\$7,046.15$

Part 4) Solve for the base. Round to hundredths when necessary.

140 is 120% of what number?

Let

x -----> the base

In this problem the rate is 120% and the portion is 140

using proportion

$\frac{x}{100\%}=\frac{140}{120\%}\\\\x=140*100/120\\\\x=116.67$

Part 5) Solve the word problem for the portion, rate, or base.

A quality control process finds 46.8 defects for every 7,800 units of production. What percent of the production is defective?

Find for the rate

Let

x -----> the rate

In this problem the base is 7,800 units and the portion is 46.8

using proportion

$\frac{100\%}{7,800}=\frac{x\%}{46.8}\\\\x=46.8*(100)/7,800\\\\x= 0.6\%$

Part 6) A medical insurance policy requires Ana to pay the first $100 of her hospital expense. The insurance company will then pay 90% of the remaining expense. Ana is expecting a short surgical stay in the hospital, for which she estimates the total bill to be about $4,800. How much (in $) of the total bill will Ana owe?

step 1

Find the 90% of the remaining expenses

$4,800-$100=$4,700 -----> remaining expenses

In this part $4,700 is the base, the rate is 90%

Find the portion

Let

x -----> the portion

using proportion

$\frac{\$x}{90\%}=\frac{\$4,700}{100\%}\\\\x=90*4,700/100\\\\x=\$4,230$

step 2

Find out the total bill that Ana will owe

$\$4,700-\$4,230=\$470$

$\$470+\$100=\$570$

5 0

3 years ago