worksheet 5.9 scale drawings and scale models

Answer:

3

Step-by-step explanation:

375/5 = 75

75/5 = 15

15/5 = 3

....  Basically you are dividing each term by 5 until you reach 3.... the most simplified version of this equation.

The next (i.e the 4th) term of the geometric sequence: 375, 75, 15​ is 3

This is a sequence which have common ratio between each term. It is represented as

Tₙ = arⁿ¯¹

Where

a is the first term

r is the common ratio

n is the number of term

Tₙ is the nth term

Tₙ = arⁿ¯¹

T₄ = 375 × 0.2⁴¯¹

T₄ = 375 × 0.2³

T₄ = 3

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To solve the equation, we can set up the equation as '5x - 5 = 3x + 7' and solve for x using algebraic manipulations.

Let's solve this equation step by step. Let's assume that the number we are looking for is 'x'.

According to the question, 'five times a certain number, minus 5' can be represented as 5x - 5. And 'seven more than three times the number' can be represented as 3x + 7.

So, we can write the equation as 5x - 5 = 3x + 7. Now, let's solve for x.

Subtract 3x from both sides: 5x - 3x - 5 = 3x - 3x + 7.

Simplify: 2x - 5 = 7.

Add 5 to both sides: 2x - 5 + 5 = 7 + 5.

Simplify: 2x = 12.

Divide both sides by 2: 2x/2 = 12/2.

Simplify: x = 6.

Therefore, the solution to the equation is x = 6.

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Answer:

16x

Step-by-step explanation:

its basically saying (2x)x(8x) which would equal 16x

Answer: 10x

Step-by-step explanation:

Sum of 2x and 8x means the addition of 2x and 8x

Written as 2x + 8x= 10x

Answer:

e = 30

Step-by-step explanation:

Since 114 and the adjacent angle are supplementary, that means they add up to 180.

114 + x - 114 = 180 - 114

x = 66

Now, solve inside the triangle which adds up to 180.

54 + 66 + 2e = 180

120 + 2e - 120 = 180 - 120

2e / 2 = 60 / 2

e = 30

Answer:  e = 30

Polygons are closed, two-dimensional shapes with straight, fully connected sides.  Figure A, Figure B, Figure C are polygons.

To determine which figures are polygons, we must understand that a polygon is a closed, two-dimensional shape with straight sides that are fully connected at each endpoint.

There should be at least two or more straight sides in a polygon.

Figure A: It is a polygon as it has more than two sides and is closed.

Figure B: It is also a polygon as it has 6 sides and angles and is also closed in shape.

Figure C: It is not a polygon as it does not have straight line more than two, it is closed but it contains curved line.

Figure D: It is polygon as it contains straight lines and is closed.

Average speed of the entire journey is 3.08 km/hr

Step-by-step explanation:

Distance = Speed × Time = 4 × 2.5 = 10 km

Distance = 2.5 × 4 = 10 km

Average Speed = Total distance/Total time

                          = 10 + 10/2.5 + 4 = 20/6.5

                          = 3.08 km/hr

(This solves to n = 17 meaning there are 17 nickels)

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Explanation:

"There are 25 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

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Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.

To find the number of coins that are not nickels, subtract the number of nickels from the total number of coins. Alternatively, solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins.

To find the number of coins that are not nickels, we need to subtract the number of nickels from the total number of coins. Given that there are 92 coins in total and the number of nickels is represented by 'n', the equation to find the number of coins that are not nickels is 92 - n.

Alternatively, we can solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins. We know there are 25 pennies, 21 dimes, and 29 quarters. So, we have n = total number of coins - number of pennies - number of dimes - number of quarters = 92 - 25 - 21 - 29. Simplifying this equation gives us the value of 'n'.

Answer:

i think the answer is x = -7/12 or in decimal form x = -0.583, the 3 is repeating.

Step-by-step explanation:

Answer:30

Step-by-step explanation:

100-70

Answer:

14.7 is the best answer i can come up with it might be wrong it might not be to be helpful there you go

Step-by-step explanation:

To find the company's profit in the year 2003, we need to apply a 13% increase for each consecutive year. Starting from an initial profit of $4.9 million in 2000, we can calculate the profit for each year using the given formula.

To find the company's profit in the year 2003, we need to apply the given increase of 13% for each consecutive year. Starting from the initial profit of $4.9 million in 2000, we can calculate the profit for each year using the formula:

New Profit = Previous Profit + (Previous Profit * 0.13)

Using this formula, we can determine the profit for the year 2003 as follows:

Year 2000 Profit: $4.9 million

Year 2001 Profit: $4.9 million + ($4.9 million * 0.13) = $5.537 million

Year 2002 Profit: $5.537 million + ($5.537 million * 0.13) = $6.267 million

Year 2003 Profit: $6.267 million + ($6.267 million * 0.13) = $7.082 million

Therefore, the company's profit in the year 2003 would be approximately $7.082 million to the nearest tenth of a million dollars.

Answer:

w = 4

Step-by-step explanation:

Since the figure is a parallelogram, we know that opposite sides must be equivalent. That means that JK = HI. So w + 29 must equal 9w - 3.

Once the problem is set up, it looks like: w + 29 = 9w -3.

Now you have to try to get the variables on one side. To do that, subtract 29 from both sides: w = 9w - 32.

Now subtract 9w from both sides: -8w = -32

Divide both sides by -1 to make them positive: 8w = 32

And divide both sides by 8 to find the value of w: w = 4

Hope this helps!

Answer:

C is the answer

Step-by-step explanation:

y = x + 5

If x = 0,

y = 0 + 5 = 5

Again, if x = 1,

y = 1 + 5 = 6

Again if x = 2,

y = 2 + 5 = 7

Therefore, option C is the answer.

x     y

0    5

1     6

2    7

Other options A, B, and D are not correct. Because if x = 0, y cannot be equal to either 0 or 3. Again, if x = 1, y cannot be equal to either 3 or 4.

Answer:

$4.38

Step-by-step explanation:

Lets recap the information we are told in the problem:

There are 4 students in total

Their total profit is $17.52

The total profit needs to be split equally between them

Now we can focus on solving. To do so we can set up an equation like this:

(Total profit) ÷ (Number of students) = (Amount each student gets)

Lets insert our numbers into this equation:

$17.52 ÷ 4 = $4.38

So each student gets $4.38 each when the profit is split equally.

Out of the entire profit of $17.52, each one of the students will be able to take home a profit of $4.38.

These four students were able to sell enough lemonade that they made $17.52.

They will need to divide the profit amongst themselves and when they do so, each one of them will get:

= Profit made / Number of students

= 17.52 / 4

= $4.38

In conclusion, each one of the students will get $4.38.

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Answer:

To calculate how much you will be making in 2 years, given that you earn $2850 per month and your earnings are expected to increase by 6.6% per year, we can follow these steps:

1. Calculate the annual increase: To find the annual increase, we multiply the current earnings by the percentage increase. In this case, the annual increase would be 2850 * 0.066 = $188.10.

2. Calculate the total increase over 2 years: Since the earnings are expected to increase by the same amount each year, we can multiply the annual increase by 2 to get the total increase over 2 years. In this case, the total increase would be 188.10 * 2 = $376.20.

3. Calculate the future earnings: To find the future earnings after 2 years, we add the total increase to the current earnings. In this case, the future earnings would be 2850 + 376.20 = $3226.20.

Therefore, based on the given information, you can expect to be making approximately $3226.20 in 2 years.

If you earn $2850 per month with an annual increase of 6.6%, in two years you will be making approximately $3239.40 per month.

If you are currently earning $2850 per month and expect your earnings to increase by 6.6% each year, then to calculate your earnings in 2 years, we need to take into account the compound interest formula which can be applied to salary growth as well. The formula to calculate the future value after a certain number of years is:

Future Value = Present Value x (1 + Rate of Increase)Number of Years

In this case, your Present Value is $2850, the Rate of Increase is 6.6% (expressed as a decimal, which is 0.066), and the Number of Years is 2.

Calculate the earnings for the first year: $2850 x (1 + 0.066) = $3038.10.

Then calculate the earnings for the second year: $3038.10 x (1 + 0.066) = approximately $3239.40.

Therefore, in two years, you would be making approximately $3239.40 per month.

Answer:

[tex](-4,10)[/tex]

Step-by-step explanation:

When you translate (x,y), left 2 units and up 4 units, it becomes (x-2,y+4)

We are given the point (-2,6).

We want to find the image of this point after a translation left 2 units and up 4 units.

[tex](-2,6)\to(-2-2,6+4)[/tex]

We simplify to get:

[tex](-2,6)\to(-4,10)

[/tex]

Final answer:

The image point of (-2,6) after a translation left 2 units and up 4 units is (-4,10).

Explanation:

To determine the image point of (-2,6) after a translation left 2 units and up 4 units, we simply need to adjust the x-coordinate and the y-coordinate by the amounts specified by the translation. Moving left 2 units means we subtract 2 from the x-coordinate, and moving up 4 units means we add 4 to the y-coordinate.

Starting with the x-coordinate of -2, we subtract 2:
-2 - 2 = -4.
So, the new x-coordinate is -4.

Starting with the y-coordinate of 6, we add 4:
6 + 4 = 10.
So, the new y-coordinate is 10.

Therefore, the image point after the translation is (-4,10).

Slope is 20/3 or 6.67

Step-by-step explanation:

⇒ m = (80 - 40)/(12 - 6)

       = 40/6 = 20/3 or 6.67

Answer:

it is an Isosceles triangle

Step-by-step explanation:

because it has two side the same and the other one is different

Answer

isosceles triangle

Step-by-step explanation:

Answer:

Yes, these two fractions are equivalent. Additional equivalent fractions are given below.

Step-by-step explanation:

To determine if two fractions are equivalent, we should simplify each fraction into its simplest form.

Brett's fraction is 4/8. To simplify this fraction, we should divide both the numerator the denominator by the GCF, or greatest common factor. The GCF is 4, so we should divide both of these numbers by this factor to simplify. This is shown below:

4/8 = 4/4 / 8/4 = 1/2

Aisha's fraction is 1/2. Since the GCF of 1 and 2 is 1, we know that this fraction is already in its simplest form.

When we compare the simplified versions of the two fractions, we see that they are both 1/2; therefore, they are the same.

To determine additional equivalent fractions, we should multiply both the numerator and the denominator by the same factor. For example, 4/8 is generated by multiplying both the numerator and denominator by a factor of 4. By this same logic, 2/4, 3/6, and 5/10 are all also equivalent fractions (multiplied by factors of 2, 3, and 5, respectively).

For more information on simplifying fractions and finding GCFs, please check out these other questions on Brainly:

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Answer:

1780s to 1830s

Step-by-step explanation:

Pollution is not a new phenomenon. In fact, pollution has been a problem since the appearance of our earliest ancestors (Markham, 1994). Increasing human populations have opened the door to more bacteria and disease. During the Middle Ages, diseases such as cholera and typhoid fever broke out all across Europe.

Answer:

11,000 years ago.

Step-by-step explanation:

I pulled it from my notes!!!

Answer:

its 1/7

Step-by-step explanation:

i took the quiz

Answer: the answer 27

Step-by-step explanation:

look at the word area you have to multipy the question

Answer:

36cm²

Step-by-step explanation:

remaining part length = 9cm - 3cm

= 6cm

Therefore area of remaining part which is a square = length × length

= 6cm × 6cm

= 36cm²

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Answer:

12 and 8

Step-by-step explanation:

the difference is 4 if you do 12-8=4

the product sum is 96 which is 12*8=96

Answer:

12 and 8

Step-by-step explanation:

Let the numbers be x  and y

x - y = 4 ................(1)

xy = 96 ..................(2)

From equation 1

x = 4+y ..............(3)

Put x = 4+ y into equation 2

y(4+y) = 96

y² +4y = 96

y² + 4y - 96 = 0

Solve quadratically using factorisation method

y² + 12y - 8y - 96 =0

y(y+12) - 8 ( y + 12) = 0

(y +12)(y -8) = 0

y = -12 or 8

When y = -12

x = 4+y = 4-12 = -8

When y= 8

x = 4+y = 4+8 =12

Numbers are 12 and 8  or -8 and -12

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Answer:

y = -6x + 3

Step-by-step explanation:

y = 3/4(-12x+4) + 1/2(6x)

y = -9x + 3 + 3x

y = -6x + 3

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h = 9.2 cm

Solution:

Base of smaller triangle = 5 cm

Height of smaller triangle = 2.3 cm

Base of larger triangle = 15 cm + 5 cm = 20 cm

Height of larger triangle = h

[tex]$\frac{2.3}{5}=\frac{h}{15+5}[/tex]

[tex]$\frac{2.3}{5}=\frac{h}{20}[/tex]

Multiply by 20 on both sides.

[tex]$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20[/tex]

[tex]$\frac{46}{5}=h[/tex]

9.2 = h

So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.

Answer:

its d (0,0)

Step-by-step explanation:

just figured it out.

Answer:

12

Step-by-step explanation:

ALL YOU HAVE TO DO IS PUT THE NUMBERS IN ORDER THEN FIND THE MIDDLE NUMBER

Answer:

median = 11.5 . first quartile = 9.5 , third quartile = 14.5

Step-by-step explanation:

9,9,9,10,11,11,12,13,14,15,16,17

since there is an even number (12)

we can divide by 2

12 /2

= 6th position and 7th position

= 11 + 12

= 23 / 2 = 11.5

is also known as the lower quartile is half of the median position

6/2 = 3rd position and 7/2 = 3.5th position  

9 + 10 = 19

19 / 2 = 9.5

also known as upper quartile

is the position of median + position of lower quartile

= 6 +3 = 9th position and 7 +3 = 10th position

= 14 + 15 = 29

29/2 = 14.5

Answer:

n= 7/2x

Step-by-step explanation:

Answer: the reasonable estimate is (1.1, -1.9)

Step-by-step explanation: in solving simultenous equations graphically the answer is choosing by tracing the intercept of the two lines

Answer:

the reasonable estimate is (1.1, -1.9)

Step-by-step explanation: