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lesantik [10]
3 years ago
11

45x678 using the distributive property

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0
45*(600+78) = 45*600+45*78
45*678=27000+3510
30510=30510
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A bicycle’s wheel has a radius of 32.5 cm. What distance will the bicycle travel if the wheel turns 100,000 times?
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I've never done this type of problem before so I might be wrong but I think the answer is 20420352.25 cm

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3 years ago
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Aisha estimates the product of 12 and 2.4 by rounding 2.4 to the nearest whole.
Tanya [424]

Answer:

24

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2 years ago
The length of the longer leg of a right triangle is 4 inches more than twice the length of the shorter leg. the length of the hy
Serjik [45]

The Pythagorean's Theorem for our situation would look like this:

shortleg^2+longleg^2=hypotenuse^2

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s^2+(2s+4)^2=(2s+6)^2

And of course we have to expand. Doing that will leave us with

s^2+4s^2+8s+8s+16=4s^2+12s+12s+36

Combining like terms we have

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That is now a second degree polynomial, a quadratic to be exact, and it can be factored several different ways. The easiest is to figure what 2 numbers add to be -8 and multiply to be -20. Those numbers would be 10 and -2. Since we are figuring out the length of the sides, AND we know that the two things in math that will never EVER be negative are time and distance/length, -2 is not an option. That means that the short side, s, measures 10. The longer side, 2s+4, measures 2(10)+4 which is 24, and the hypotenuse, 2s+6, measures 2(10)+6 which is 26. So there you go!

6 0
3 years ago
A store manager is accepting applications for part-time workers. he can hire no more than 14 people. so far,he has hired 9 peopl
Lorico [155]

The manager already hired 9 people. Let x be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired 9+x people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:

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6 0
3 years ago
X-2y=5 2x-4y=10
Nitella [24]

Step-by-step explanation:

X-2y=5 ; 2x-4y=10

• x - 2y = 5 • 2x -4y = 10

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y1 = ½x - 5/2 y2 = ½x -5/2

• => y1 = y2

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the systems have no solution

• graph as attached

8 0
2 years ago
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