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3 years ago

9

In what different ways can 45 be written as the product of two positive integers?

1 answer:

nevsk [136]3 years ago

4 0

First you need to know its common factors.

They are: 1, 3, 5, 9, 15, 45

And 45 = 1*45 = 3*15 = 5*9

So there should be 3 ways in total

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The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches. What is the perimet

drek231 [11]

In the given situation, the ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches.Now, let's find the perimeter of the smaller.Let's solve for the answerRatio and formula:=> 4 : 7 = X = 42, where x is the unknown perimeter of the smaller rectangle=> 4 * 42 = 168 / 7 = 24Thus the answer is letter D. 24 inches is the parameter of smaller rectangle.<span>
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4 0

3 years ago

Solve for the indicated variable.

marta [7]

Answer:

Option (c) " $r=\dfrac{q}{4c}-h$ "

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

$\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}$

Now, subtract h both sides of the equation.

$h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h$

Hence, this is the required solution.

3 0

3 years ago

A test requires that you answer either part A or part B. Part A consists of 7 true-false questions, and part B consists of 5 mul

jeka94

Answer: 3253

Step-by-step explanation:

Given : A test requires that you answer either part A or part B.

Part A consists of 7 true-false questions.

i.e. there are 2 choices to answer each question.

Now, the number of ways to answer Part A : $2^7=128$ (1)

Part B consists of 5 multiple-choice questions with one correct answer out of five.

i.e. there are 5 choices to answer each question.

Now, the number of ways to answer Part B : $5^5=3125$ (2)

Now, the number of different ways to completed answer sheets are possible= $128+3125=3253$ [Add (1) and (2) ]

5 0

3 years ago

10xy(4xy^3-7xy+9y^2)

Thepotemich [5.8K]

Answer:

$40x^{2} y^{4} -70x^{2} y^{2} +90xy^{3}$

Step-by-step explanation:

$10xy(4xy^{3} -7xy+9y^2)$

1. 10xy · 4xy^3 = $40x^2y^4$

2. 10xy · -7xy = $-70x^{2} y^{2}$

3. 10xy · 9y^2 = $90xy^3$

Final step: add up all of those values together to make an equation!

Answer: $40x^2y^4+$ $-70x^2y^2+$ $90xy^3$

Final Answer: $40x^2y^4-70x^2y^2+90xy^3$

3 0

3 years ago

A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is th

mariarad [96]

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

j = 0.010 + 6.2875

j = 6.2975 which go 3 decimal places is 6.298 meters

7 0

3 years ago