the scale of a scientific drawing is 1cm = 2 in., If the actual length of an object in the drawing was 4.5 inches, how long would it be in the drawing?

Answer:

12 pieces.

Step-by-step explanation:

Let x be the number of pieces we need to shade.

We have been given that a diagram of triangle that is made of smaller, identical pieces. We are asked to find the number of pieces that we need to shade the 75% of our given bigger triangle.

We can see that our bigger triangle is made of 16 smaller triangle. To find the number of pieces we need to shade, we need to figure out x such that 75% of 16 equals x.

[tex]x=\frac{75}{100}\times 16[/tex]

[tex]x=0.75\times 16[/tex]

[tex]x=12[/tex]

Therefore, we will shade 12 pieces to model our given percent.

The number 1 and 3/5 (1.6) is greater than 1.3 when comparing the two.

To compare 1.3 (which is the same as 1 and 3/10) and 1 and 3/5, we first need to express both numbers with the same denominator so they can be easily compared. The number 1 and 3/5 can also be written as 1.6, because 3 divided by 5 equals 0.6. Now we have 1.3 and 1.6 which allows us to see that 1.6 is greater than 1.3.

If the complement of an angle measures 52 degrees, measure of supplement is 128 degrees

Given:

the complement of an angle measures 52 degrees

Sum of complementary angles is equal to 90 degrees

one angle is 52 degrees

other complementary angle is [tex]90-52=38[/tex]

Other complementary angle is 38 degrees

sum of supplementary angle is 180 degrees

one angle is 52 degree

the measure of supplement is [tex]180-52=128[/tex]

Measure of supplement is 128 degrees

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0 4/25 is 4/25 as a mixed number.

To express the fraction 4/25 as a mixed number, we need to divide the numerator (4) by the denominator (25).

4 ÷ 25 = 0 with a remainder of 4.

The whole number part is 0, and the remainder becomes the numerator of the fraction. The denominator remains the same.

Therefore, 4/25 as a mixed number is 0 4/25.

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The amount of interest that is earned after two years will be $121.8.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

The investment is $2,000 with an interest rate of 3%.

Then the amount of interest that is earned after two years will be given as,

A = 2,000 (1 + 0.03)²

Simplify the expression, then we have

I = $2,000 (1 + 0.03)² - $2,000

I = $2,000 × (1.03)² - $2,000

I = $2,000 × 1.0609 - $2,000

I = $2,121.8 - $2,000

I = $121.8

The amount of interest that is earned after two years will be $121.8.

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Answer:

Multiplying a number by 10 makes calculations much easier

Step-by-step explanation:

To multiply a number by [tex]10^{n}[/tex], add n zeroes to a number.

For example, 25×1000=25×10³=25000

Consider the following pattern:

[tex]5\times 10=50\\5\times 10^2=500\\5\times 10^3=5000\\5\times 10^4=50000\\5\times 10^5=500000\\5\times 10^6=5000000[/tex]

So, basic rules of multiplying a number by 10 makes calculations much easier.

Foe example consider the following example:

[tex]26\times 20\times 30=26\times (2\times 10)\times (3\times 10)=26\times 6\times 100=15600[/tex]

Answer:327.60

Step-by-step explanation:

The integer 25 can be expressed as an infinite number of equivalent fractions of the form 25a/a, where a is any integer. For example, 25 can be expressed as the fractions 50/2 (a=2), 75/3 (a=3), or 250/10 (a=10).

Answer:

C

Step-by-step explanation:

f(p) is the average number of days a house stays on the market before being sold for price p in $1,000s

A little more clearer explanation:

Hence, f(250) would be the number of days before its sold for 250,000 (since p is in $1000s)

Answer choice C is the correct one.

To find the better buy between two stuffing boxes of different sizes and prices, calculate and compare the price per ounce. The 12 oz box at approximately $0.179 per ounce is a slightly better buy than the 16 oz box at $0.18 per ounce, although they are nearly equivalent financially.

To determine which stuffing box is the better buy, we need to calculate the price per ounce for each box. We'll then compare the rates to see which one offers more stuffing for less money.

First, we calculate the price per ounce for the 12 oz box. Given the price is $2.15, we divide $2.15 by 12 ounces:

$2.15 / 12 oz = $0.179 (rounded to the nearest thousandth)

Now, we calculate the price per ounce for the 16 oz box. Given the price is $2.88, we divide $2.88 by 16 ounces:

$2.88 / 16 oz = $0.18

The 12 oz box of stuffing has a slightly lower price per ounce at approximately $0.179 compared to the 16 oz box at $0.18, making the 12 oz box the better buy.

Answer:

-8, 28

Step-by-step explanation:

║10-x║= 18

we remove the bars and we know that there are two result for this, one positive and one negative.

10-x= 18    

-x= 18-10

x= 8/-1

x= -8

-(10-x)= 18

-10 +x= 18

x=18+10

x=28

final answer is -8, 28

To find the cost of a full yard of fabric, divide $4.10 by 7/8. This results in approximately $4.69 for a full yard after rounding to two decimal places.

If Aaron bought 7/8 of a yard of fabric for $4.10, we need to find the cost of a full yard. To do this, we divide the cost by the amount of fabric he bought. Therefore, the cost of a full yard of fabric is $4.10 divided by 7/8.

Step-by-step calculation:

Final answer:

To find the cost of a full yard of fabric, you can set up a proportion based on the cost of 7/8 of a yard of fabric. The cost of a full yard is $4.66.

Explanation:

To find the cost of a full yard of fabric, we need to determine the cost per unit of fabric. Aaron bought 7/8 of a yard for $4.10. We can set up a proportion to find the cost per yard. Since 7/8 of a yard costs $4.10, 1 yard would cost:

(1 yard) / (7/8 yard) = (cost of 1 yard) / ($4.10)

Simplifying the proportion, we get:

(1 yard) / (7/8 yard) = (cost of 1 yard) / ($4.10)

This can be simplified to:

1 / (7/8) = (cost of 1 yard) / ($4.10)

Dividing 1 by 7/8 gives us 8/7, so:

8/7 = (cost of 1 yard) / ($4.10)

Cross-multiplying, we have:

(cost of 1 yard) = (8/7) * ($4.10)

Simplifying, we get:

(cost of 1 yard) = $4.66

Therefore, a full yard of fabric costs $4.66.

To make 1 loaf of zucchini bread, Leila needs 2.5 cups of zucchini.

To find out how many cups of zucchini Leila needs to make 1 loaf, we can set up a proportion. Since she uses 5 cups of zucchini to make 2 loaves, we can say that 5 cups is to 2 loaves as x cups is to 1 loaf. We can set up the proportion as:

5 cups / 2 loaves = x cups / 1 loaf

Now we can cross-multiply and solve for x:

5 cups * 1 loaf = 2 loaves * x cups

x = (5 cups * 1 loaf) / 2 loaves

x = 5/2 = 2.5 cups

Therefore, Leila needs 2.5 cups of zucchini to make 1 loaf.

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To find the length of Chrissy's vacation, use the proportion of rainy days to determine the total number of days, resulting in a 5-day vacation.

To find the total number of days in Chrissy's vacation, we can use the fact that it rained on 40% of the days, which is equal to 2 days. From this, we can set up a proportion to solve for the total days. So, if 40% equals 2 days, 100% equals how many days?

Therefore, Chrissy's vacation was 5 days long.