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DanielleElmas [232]
3 years ago
12

The rectangle graphed has a length of 3 and a width of 2. How does the perimeter change if the width is increased by 4? A) The p

erimeter is doubled. B) The perimeter is increased by 4. C) The perimeter is increased by 6. D) The perimeter is increased by 8.
Mathematics
1 answer:
storchak [24]3 years ago
4 0

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

First rectangle                       Second rectangle

length = 3                               length = 3

width = 2                                 width = 2 + 4 = 6

Process

1.- Calculate the Perimeter of the first rectangle

Perimeter = 2l + 2w

Perimeter = 2(3) + 2(2)

                 = 6 + 4

                 = 10

2.- Calculate the perimeter of the second rectangle

Perimeter = 2(3) + 2(6)

Perimeter = 6 + 12

Perimeter = 18

3.- Compare both perimeters

                Perimeter 1 is smaller than Perimeter 2 by 8 units

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Solve: 1/4 a = 4/15 ​
ValentinkaMS [17]

Answer:

a = 1 1/15

Step-by-step explanation:

1/4 a = 4/15

Multiply each side by 4 to isolate a

4 * 1/4a = 4 * 4/15

a = 16/15

a = 1 1/15

6 0
3 years ago
How many solutions does this SOE have?
4vir4ik [10]

Answer:

1 solution

Step-by-step explanation:

The solution is the intersection point, which is at (3, -2)

5 0
3 years ago
On selling an article for Rs 2300, a shopkeeper made a profit of 15 %. find the cost price of the article.
Ede4ka [16]

Let the cost price of article be x :

x + x × ( 15/100 ) = 2300

x + x × ( 5 × 3 / 5 × 20 ) = 2300

x + x × ( 3 / 20 ) = 2300

x + ( 3 × x / 20 ) = 2300

x + ( 3x / 20 ) = 2300

( 20x / 20 ) + ( 3x / 20 ) = 2300

20x + 3x / 20 = 2300

23x / 20 = 2300

Multiply both sides by 20

( 23x / 20 ) × 20 = 2300 × 20

23x = 2300 × 20

23x = 23 × 2000

Divide both sides 23

23x ÷ 23 = ( 23 × 2000 ) ÷ 23

x = Rs 2000

4 0
3 years ago
NEED MATH HELP QUICK!
Korolek [52]

Answer:

Minimum = 14

Q_1=23

Median = 32

Q_3=49

Maximum = 65

Step-by-step explanation:

<u>Step 1: </u>Put your numbers in ascending order (from smallest to largest). For this particular data set, the order is

14, 18, 28, 29, 32, 44, 48, 50, 65

<u>Step 2:</u> Find the minimum and maximum for your data set. Now that your numbers are in order, this should be easy to spot.

Minimum = 14

Maximum = 65

<u>Step 3: </u>Find the median. The median is the middle number. The middle number in your list is 32, so

Median = 32

<u>Step 4: </u>Place parentheses around the numbers above and below the median.

(14, 18, 28, 29), 32, (44, 48, 50, 65)

<u>Step 5: </u>Find Q1 and Q3. Q1 can be thought of as a median in the lower half of the data, and Q3 can be thought of as a median for the upper half of data.

First quartile

\bf{Q_1=\dfrac{18+28}{2}=\dfrac{46}{2}=23}

Third quartile

\bf{Q_3=\dfrac{48+50}{2}=\dfrac{98}{2}=49}

<u>Step 6:</u> Write down your summary found in the above steps.

Minimum = 14

Q_1=23

Median = 32

Q_3=49

Maximum = 65

5 0
4 years ago
the birth rate in namibia is 35 babies to every 1000 people. In 2001, the country had a population of about 1,800,000 people. ho
mr_godi [17]

Hey there!

Let's work this problem out together.

Our ratio is 35:1000, or 35/1000.

Let's try solving this in two ways.

First, we can look at our ratio 35/1000, which is equal to 0.035.

35 is 0.035 of 1000.

Therefore, to find the amount of babies, we can multiply this connecting number by the number of people.

1,800,000(0.035)=63,000

Therefore, there would be 63,000 babies.

---------------------------------------------------------------

We can also solve this as a proportion.

\frac{babies}{people} =\frac{35}{1000} =\frac{b}{1,800,000}

To solve, we can cross multiply and solve for b.

1,000b=63,000,000

We divide both sides by 1,000/

b=63,000

Therefore, there are 63,000 babies.

I hope this helps!

8 0
4 years ago
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