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serious [3.7K]
3 years ago
14

a dog weighs two pounds less than three times the weight of a cat. The dog also weighs twenty-two more pounds than the cat. writ

e and solve an equation to find the weights of the dog and the cat.
Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

Weight of dog: 34 pounds,

Weight of cat: 12 pounds.

Step-by-step explanation:

Let d represent weight of dog and c represent weight of cat.

We have been given that a dog weighs two pounds less than three times the weight of a cat.

3 times weight of cat: 3c

We can represent the given information in an equation as: d=3c -2...1

We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:

d=c+22...(2)

3c-2=c+22--->c=12

Therefore subsitute c=12 in equation 2

d=+22

d=12+22

d=34

Therefore, the weight of dog is 34 pounds.

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Solve for x.4(2x + 3) = 3x + 3 + 2x
ElenaW [278]

Answer:

The value of x is -3.

Explanation:

Given the equation:

4\mleft(2x+3\mright)=3x+3+2x​

Step 1: Distribute 4 in the left-hand side.

\begin{gathered} 4\mleft(2x)+4(3\mright)=3x+3+2x​ \\ 8x+12=3x+2x​+3 \\ 8x+12=5x​+3 \end{gathered}

Step 2: Collect like terms.

\begin{gathered} 8x-5x=3-12 \\ 3x=-9 \end{gathered}

Step 3: Divide both sides by 3.

\begin{gathered} \frac{3x}{3}=-\frac{9}{3} \\ x=-3 \end{gathered}

The value of x is -3.

3 0
1 year ago
I really need some help please
hichkok12 [17]

Answer:

(1, - 1 ) and (5, - 3 )

Step-by-step explanation:

To determine which points are solutions of the inequality.

Substitute the x/y values into the left side of the inequality and compare with the right side.

(- 6, - 3)

- 3 + 12 = 9 > - 3 ← not a solution

(1, - 1 )

- 1 - 2 = - 3 ≤ -3 ← this is a solution

(5, - 3 )

- 3 - 10 = - 13 < - 3 ← this is a solution

(0, - 2 )

- 2 - 0 = - 2 > - 3 ← not a solution

(7, 12 )

12 - 14 = - 2 > - 3 ← not a solution

8 0
3 years ago
Convert. 2/3and 4/6 into like fraction
Luden [163]

Answer:

Answer given below

Step-by-step explanation:

When we calculate the LCM, you get it as 6.

So both the fractions should have a denominator 6.

For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.

When we convert to like fraction, 2/3 becomes 4/6.

Now both the fractions have common denominator

Hope it helps.

5 0
3 years ago
Read 2 more answers
X = -4, 1, 2
dalvyx [7]
The zeros are the solution of a polynomial
So your polynomial would be y= (x+4)(x-1)(x-2)
y= x^3 + x^2 - 10x + 8
6 0
2 years ago
3(4x-9)+4=2(5x-7)+2
allochka39001 [22]
19.5 you can use photo math for math problems like this
6 0
2 years ago
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