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julsineya [31]
2 years ago
6

Susan's cat weighs 3 pounds. Susan's dog weighs 3 1/4 times as much as her cat. How much does Susan's dog weigh?

Mathematics
1 answer:
Marina CMI [18]2 years ago
3 0

Answer:

Susan's dog weighs 9.75 pounds

Step-by-step explanation:

Given

The weight of Susan's cat = 3 pounds

Susan's dog weighs 3 1/4 or 13/4 times as much as her cat.

To determine

The weight of Susan's dog = ?

As the weight of Susan's cat = 3 pounds

Given that Susan's dog weighs 3 1/4 or 13/4 times as much as her cat. so

The weight of Susan's dog = 13/4 of 3

                                             = 13/4 × 3

                                              = 39/4

                                               = 9.75 pounds

Therefore, Susan's dog weighs 9.75 pounds

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2 years ago
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Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $55 a day for fo
MArishka [77]
<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels m miles and is on a trip for x days then Rita will receive:

55x + 0.45m dollars. 


Rita drove 300 miles, means that m=300. Thus </span>55x + 0.45m becomes <span>

</span>55x+0.45m=55x+0.45 \cdot 300=55x+135 (dollars.)

She was reimbursed  $2,335 means that 55x+135=2,335.


Part A: 55x+135=2,335.

Part B: 

We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:

55x=2,335-135=2,200.

Dividing both sides by 55, we get: x=2,200/55=40.


Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip. 
5 0
3 years ago
Question 9
True [87]

Answer:

17

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

(4x + 2) = (5x - 15)

Use this equation to solve for x

4x + 2 = 5x - 15

Subtract 5x from both sides

4x + 2 - 5x = 5x - 15 - 5x

-x + 2 = -15

Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

5 0
2 years ago
a test has 20 multiple-choice questions with 5 choices each, followed by 35 true/false questions. if a student guesses on each q
Nuetrik [128]

Answer

There are 170 ways the student can answer the test.

Explanation

If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.

The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.

Now combine the number of choices on the first part and the second part; 100+70 is 170.

3 0
3 years ago
I really need help plzzzzz
Sonbull [250]

ANSWER

D. rotation, translation, reflection

EXPLANATION

Dilation is not a rigid motion.

When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).

When the scale factor is negative 1, a congruent triangle is obtained.

Hence dilation will not always produce a congruent triangle.

Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.

8 0
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