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3 years ago

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A dog weighs 2 pounds more than a cat. 3 cats and 4 dogs together weigh 43 pounds. How much does a dog weigh? How much does a ca

t weigh?

2 answers:

Svetradugi [14.3K]3 years ago

8 0

The answer is 5......

Ann [662]3 years ago

6 0

Answer:

5

Step-by-step explanation:

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Logarithms- How to answer these questions?

kotykmax [81]

Answer:

2. m = b³ (= 216)

3. logp(x) = -4

Step-by-step explanation:

2. The given equation can be written using the change of base formula as ...

... log(m)/log(b) + 9·log(b)/log(m) = 6

If we define x = log(m)/log(b), then this becomes ...

... x + 9/x = 6

Subtracting 6 and multiplying by x gives ...

... x² -6x +9 = 0

... (x -3)² = 0 . . . . . factored

... x = 3 . . . . . . . . . value of x that makes it true

Remembering that x = log(m)/log(b), this means

... 3 = log(m)/log(b)

... 3·log(b) = log(m) . . . . . multiply by the denominator; next, take the antilog

... m = b³ . . . . . . the expression you're looking for

___

3. Substituting the given expression for y, the equation becomes ...

... logp(x^2·(p^5)^3) = 7

... logp(x^2) + logp(p^15) = 7 . . . . . use the rule for log of a product

... 2logp(x) + 15 = 7 . . . . . . . . . . . . . use the definition of a logarithm

... 2logp(x) = -8 . . . . . . . . . . . . . . . . subtract 15

... logp(x) = -4 . . . . . . divide by 2

6 0

3 years ago

Read 2 more answers

Jason did yard work for 3 hours and earned $18. What are the unit ratios in hours per dollar and dollars per hour?

GalinKa [24]

Answer:

1:6 One hour of work is worth $6

Step-by-step explanation:

$18/3= $6

5 0

4 years ago

Read 2 more answers

What is the slope of the line through (-9, 6) and (-3, 9)?<br> Choose 1 answer:

trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find: The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula. This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

<u>Plug in the values</u>

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{9 - 6}{-3 - (-9)}$

<u>Simplify the expression</u>

$m = \frac{3}{-3 + 9}$

$m = \frac{3}{6}$

$m = \frac{1}{2}$

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

4 0

2 years ago

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In the rectangle

LekaFEV [45]

In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.

If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.

Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.

Make sure you draw a diagram of it!!

7 0

3 years ago

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What are scenarios for the ratios 2:10, 10:2, & 12:1?

frozen [14]

Answer:

2:10 2/10 2 to 10 10:2 10/2 10 to 2 12:1 12/1 12 to 1

Step-by-step explanation:

3 0

3 years ago