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ch4aika
2 days ago
5

Brett has 2 dogs. Meaghan has four times as many cats as Brett adopts two more dogs, how many cats must meaghan adopt to maintai

n the same ratio of cats to dogs
Mathematics
2 answers:
PIT_PIT [3.9K]2 days ago
6 0

Response:

8.

Detailed explanation:

AnnZ [3.8K]2 days ago
4 0
Meaghan must take in 8 cats to keep the dogs-to-cats ratio consistent.

Step-by-step explanation:

Currently, Brett has 2 dogs while Meaghan possesses four times more cats than him. Therefore, Meaghan has 4 times 2 cats, making the current dogs to cats ratio:

2 dogs: 8 cats

2:8

1:4

When Brett adopts an additional 2 dogs, the total canine count rises to 2 + 2 = 4.

New ratio

dogs:cats

4:8

To sustain the previous 1:4 ratio, Meaghan's required cat count should satisfy:

1 = 4

4 =? ----cross-multiplication

Results in 16

In order for the ratio to hold, the relationship should be:

4:16

Thus, the number of cats to be adopted is 16 - 8 = 8 more cats.

Learn More

Ratio:

Keywords: dogs, cats, ratio, adopt, maintain

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Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play
lawyer [4008]

Answer:

Part A:

x+y= 95

x = y+25

Part B: 35 minutes

Part C: No

Step-by-step explanation:

  • Part A:

Eric spends a total of 95 minutes daily playing basketball and volleyball combined.

x+y= 95

Where:

x =minutes Eric plays basketball

y = minutes he allocates to volleyball

He dedicates 25 minutes more to basketball compared to volleyball.

x = y+25

Equations are:

x+y= 95

x = y+25

  • Part B:

Substituting x=y+25 into the first equation yields:

(y+25) + y =95

Solving for y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C: No

If x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Inserting y=60 into the other equation:

x = y+25

35 = 60+25

35 ≠85

5 0
9 days ago
A semicircular flower bed has a diameter of 3 metres.
babunello [3635]

Answer:

3.5 m^2

Step-by-step explanation:

For a shape that is half a circle, use the formula: A = \frac{1}{2} π r^2

Calculate the radius, which is half of the diameter: r = d/2 = 3/2 = 1.5

Insert r = 1.5 into the formula.

A = \frac{1}{2} π 1.5^2

A = \frac{1}{2} (3.14) 1.5^2

Calculate the result with your calculator and round it off.

The final answer is 3.5

3 0
14 days ago
Read 2 more answers
Moesha and Keyon are mailing invitations for their wedding. They have $50 to spend and each invitation costs $1.25 to mail. The
zzz [4022]

Answer:

The solution to the equation is 40

This indicates the max number of wedding invitations they can afford to send within their budget.

Step-by-step explanation:

To find the zero of the function, we set the dependent variable (here, m) to zero.

So we have;

0 = 50-1.25w

1.25w = 50

w = 50/1.25

w = 40

What implication does this have in this context?

Essentially, it means that the couple can send out invitations to a total of 40 people based on their budget.

7 0
3 days ago
to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equat
lawyer [4008]

Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.


Step-by-step explanation:

Given: Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have

9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252

-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120

By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132

⇒ 33x = 132 ⇒ x = 4.

8 0
13 days ago
Read 2 more answers
In a test of a printed circuit board using a random test pattern, an array of 16 bits is equally likely to be 0 or 1. Assume the
AnnZ [3877]

Answer:

A), B), and C) are clarified below.

Step-by-step explanation:

The inquiry involves using binary digits, employing probabilities that are equal for both conditions, by applying a random test pattern, where the formula is derived from p = q.

Simplifying gives us

P[k] = nCk / 2^n

A. Probability of all bits being 1s

16c16/2^16 = 1/65536

B. Probability of all bits being 0s

16c0/2^16 = 1/65536

C. The probability of having exactly 8 bits as 1s and the other 8 as 0s

16c8/2^16 = 12870/65536 => 0.1963 ≈ 19.63%

8 0
1 day ago
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