A recipe indicates 2 carrot cakes will feed 9 people. There are 45
students at a party. How many carrot cakes are necessary to feed the
students?

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:

(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:

He got wrong 8 questions

Step-by-step explanation:

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:

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:

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:

45 degrees and 45 degrees

Step-by-step explanation:

45+45=90

The measure of the two complementary angles will be 45.

Complementary angles are those whose combined angle is exactly 90 degrees. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the two angles are complementary to each other.

The complementary angles are the angles having the sum of 45 degrees. The two complementary angles will be calculated as,

45 + 45 = 90

Here one angle is 45 and the other angle is also 45 and the sum of the angles is 90.

Therefore, the measure of the two complementary angles will be 45.

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Answer:

f=−g+9/2

g=−f+9/2

Step-by-step explanation:

hope that helps:)

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:

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

Step-by-step explanation:

Answer:

K=-6

Step-by-step explanation:

2k+6=k

-6 -k

K=-6

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:

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:

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:

0.0000243

Step-by-step explanation:

Answer:

0.243

Multiply them and then write the answer in standard form

Answer: 29/24

Step-by-step explanation:

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

Answer:

25/3

Step-by-step explanation:

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

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 :)

Answer:

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

Step-by-step explanation:

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: -4

There are rules, just follow the rules

Answer:

4.55294117. If you want it rounded look below.

Step-by-step explanation:

-Rounded-

Hundredths:4.55

Tenth: 4.6

Thousandth: 4.553

Whole Number: 5

Hope this helps. :D

Answer: y = -2/3x + 6

Step-by-step explanation:

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

What are the measurements?

Answer:

C. 74 (I got it correct on USATestPrep)