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3 years ago

the sum of a tree digit number and a one digit number is 160.The product of the two numbers is 624.Whatare the two numbers

2 answers:

4 0

The two #'s are 156 and 4.
When you multiply 156*4=624.
When you add them together 156+4=160
You can also check you're work using a calculator.

n200080 [17]3 years ago

4 0

The answer for the first one is 159 and 1 because 159 is a three digit number and 1 is a one digit number.

The second one could be 160 times 1

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There are 4 jacks and 13 clubs in a standard, 52-card deck of playing cards. What is the probability that a card picked at rando

ale4655 [162]

Answer:

16/52, or 4/13.

Step-by-step explanation:

First, since we know that the question is asking for the probability of a club or a jack, we know that we have to add the two probabilities. The first probability is that of picking a club, which is 13/52. The probability of picking a jack (be sure not to overlap; don't double count the jack of clubs) is 3/52. Adding these two gives us 13/52+3/52=16/52, which simplifies to 4/13.

3 0

3 years ago

Which value of a would make the following statement true? -3(2x + a) = -6x + 15

klemol [59]

Your answer is -5.
This is because, if you expand the single bracket, you get -6x -3a, and since the other side of the equals sign is -6x + 15, then you need to do 15 ÷ -3 = -5.

I hope this helps!

6 0

3 years ago

Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve

Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

The graph of the rectangular equation $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

Learn more about the parametric equations here:

brainly.com/question/14289251

#SPJ4

7 0

2 years ago

What is the value of x ?

Lostsunrise [7]

Vertical angles are congruent (equal), and the angles below are vertical angles.

x + 40 = 3x

40 = 3x - x

2x = 40

x = 20

3 0

3 years ago

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creativ13 [48]

Answer:

N=12

Step-by-step explanation:

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3 years ago