Choose the equation that represents the graph.

On the larger map, 1 inch represents an actual distance of 300 feet.

In the original map, 1 inch represents an actual distance of 300 feet.

Since the map is 12 inches square, the side length of the map is 12 inches. Therefore, the actual distance represented by the entire map is 12 inches * 300 feet/inch = 3600 feet.

In the larger version of the map, the side length is 50% longer than the original map. This means the side length of the larger map is 12 inches + (50% * 12 inches) = 12 inches + 6 inches = 18 inches.

To determine the actual distance represented by 1 inch on the larger map, we can set up a proportion:

12 inches (original map) corresponds to 3600 feet (actual distance)

1 inch (larger map) corresponds to x feet (actual distance)

Using cross-multiplication, we find that x = (1 inch * 3600 feet) / 12 inches = 300 feet.

1 inch on the larger map represents an actual distance of 300 feet.

For more such questions on actual distance

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Answer:

see explanation

Step-by-step explanation:

(a)

[tex]\frac{AB}{XY}[/tex] = [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

[tex]\frac{AC}{XZ}[/tex] = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]

[tex]\frac{BC}{YZ}[/tex] = [tex]\frac{15}{25}[/tex] = [tex]\frac{3}{5}[/tex]

(b)

Fourth statement is correct one.

Since the ratios of corresponding sides are all equal, then

Δ ABC and Δ XYZ are similar

Answer:

30,000

Step-by-step explanation:

You simply multipy the 15,000 by two since it is doubling. *4 is double of 42 which is why you would multiply by two.

Answer:

K=-6

Step-by-step explanation:

2k+6=k

-6 -k

K=-6

Answer:

1.75, or 1 3/4

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1  3/4

Hope this helps

Plz mark brainliest

Answer:

See explanation

Step-by-step explanation:

The question is incomplete..

The given parameters can only solve for the number of hours the battery can last if at full capacity.

Given

25% = 4.5 hours

Required

Determine the brand

First, we need to determine the full capacity (100%)

So, we have:

25% = 4.5 hours

100% = x

Cross Multiply

25% * x = 100% * 4.5 hours

Divide both sides by 25%

x = 4 * 4.5 hours

x = 18 hours

Hence, the battery at full capacity is 18 hours.

So, to answer the question, you need to check the given list of brands.

The brand closest to 18 hours answers the question

Answer:

10%

Step-by-step explanation:

Using the data provided we are given the total number of people surveyed, which means we need to now find the total number of males that are not in favor of a five-day workweek. We do this by using the total of male participants and subtracting the number of male participants that are in favor of a five-day workweek

1800 (total) - 1200 (in favor) = 600

Now we know that 600 male participants are not in favor of a five-day workweek. Now we divide this number by the total amount of participants (both male and female) in order to find the percentage.

600 / 6000 = 0.1

0.1 * 100 = 10% ... multiply by 100 to get percentage.

Therefore only 10% of male participants are not in favor of a five-day workweek.

Answer:

both girls have ran 22.5 miles. But becca has ran faster

Step-by-step explanation:

Answer:

if x=6, then f(6)=11

Answer:

Graph Inequality on Number Line

Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?

Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.

Answer: y = -2/3x + 6

Step-by-step explanation:

Answer:

0.0000243

Step-by-step explanation:

Answer:

0.243

Multiply them and then write the answer in standard form

Answer: -4

There are rules, just follow the rules

Answer:

15 minutes

Step-by-step explanation:

4 x 8 = 1 hour

with twice the goats and half the cans you divide by 4

Answer:

Cost of the refill mug = $8.95

Cost of each refills = $1.50

Sean bought a mug for $8.95

No. of refills he bought = (26.95 – 8.95)/1.50

= 18 /1.50

= 12

Answer:

He got wrong 8 questions

Step-by-step explanation:

Answer:

35% because I took a test and got it right and a 100

Step-by-step explanation:

Answer:

25/3

Step-by-step explanation:

5^2= 25 x 2= 50/6= 25/3

Answer:

2 solutions

Step-by-step explanation:

Given the 2 equations

y = x² + 4x + 4 → (1)

y = 2x + 7 → (2)

Substitute y = x² + 4x + 4 into (2)

x² + 4x + 4 = 2x + 7 ( subtract 2x + 7 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Substitute these values into (2) for corresponding values of y

x = - 3 : y = 2(- 3) + 7 = - 6 + 7 = 1 ⇒ (- 3, 1 )

x = 1 : y = 2(1) + 7 = 2 + 7 = 9 ⇒ (1, 9 )

The 2 solutions are (- 3, 1 ) and (1, 9 )

Answer:

Y = 9 + 2/3

Step-by-step explanation:

First, find the equation for the given points ((0, - 4) and (3, 2)). By graphing these points, I found that this equation was Y = -4 + 2/3.

Now, we can start to form the equation of the line you are trying to find. Because parallel lines must have the same slope, we know that the slope of the line will be 2/3. We can now use this slope to find the Y-intercept of the line. Add 2 to the X-coordinate and 3 to the Y-coordinate. By doing this you get the coordinates (0, 9). 9 is the slope of the second line.

Now we can make the equation you are trying to find. The answer is Y = 9 + 2/3 where 9 represents the Y-intercept and 2/3 represents the slope of the line.

Hope this helps! Let me know.

Answer: 29/24

Step-by-step explanation:

change denominator to a common one, which is 24, then complete equation

Exponents  

5^2

4^2

8^2

7^2

3^2

9^2

12^2

Expound

5x5

4x4

8x8

7x7

3x3

9x9

12x12

Perfect square

25

16

64

49

9

81

36

144

Hope I helped you :)

What are the measurements?

Answer:

C. 74 (I got it correct on USATestPrep)

Answer:

x= 4 or -10

Step-by-step explanation:

Answer:

x = - 10, x = 4

Step-by-step explanation:

Given

2(x + 3)² = 98 ( divide both sides by 2 )

(x + 3)² = 49 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 3 from both sides )

x = - 3 ± 7

Thus

x = - 3 - 7 = - 10

x = - 3 + 7 = 4

Answer:

5.85 kilograms

Step-by-step explanation:

We are told that Three hikers started climbing with each hiker carrying 7.8 kilograms of weight.

Thus, total weight carried by them = 7.8 × 3 = 23.4 kilograms

Now a fourth person joined them and they divided the weight equally.

Thus, each hiker will now carry;

23.4/4 = 5.85 kilograms