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zimovet [89]
2 years ago
13

Can someone help me with these 4 questions that are circled?

Mathematics
1 answer:
Mashcka [7]2 years ago
3 0
6.  Call the length Marian bikes m.  We have m/3+m=24, so 4m/3=24 and m=18, so Marian bikes 18 miles and Bin-Gee bikes the remaining 6 miles.

9.  If 24 miles more than Jan's distance is three times Jan's distance, 24 is twice Jan's distance, so Jan drives 12 miles.

16.  Call the amount of tied games t.  We have:  t+(t+1)+(t+1+2)=10, so 3t+4=10.  As a result, 3t=6, so t=2.  Therefore, two games were tied, 2+1=3 games were lost, and the remaining five games were won.

28.  This problem is actually the same as problem 16!  Do you see why?  (Shortest piece is equal to games tied, middle is games lost, and largest is games won)
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Grace had $51 when she browsed an on-line store, which sells a pair of green earrings for $9.00 each plus a one-time $6.00 shipp
vitfil [10]

Answer:

5 Green earrings

Step-by-step explanation:

Given that:

Total amount held = $51

Cost per pair of green earrings = $9

One time shipping fee = $6

How many pairs of green earrings did grace purchase?

Let the number of green earrings purchased = g

Then,

$9*g + $6 = $51

$9g + $6 = $51

$9g = $51 - $6

$9g = $45

g = $45 / $9

g = 5

Hence, the number of green earrings purchased = 5

4 0
3 years ago
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
ryzh [129]

Answer:

x= 3 +\sqrt{23}, 3 -\sqrt{23}

Step-by-step explanation:

You use the quadratic formula to get x= \frac{18+6\sqrt{23} }{6} ,\frac{18-6\sqrt{23} }{6}

Then you simplify and get the answers x= 3 +\sqrt{23}, 3 -\sqrt{23}

​​  

​​  

6 0
3 years ago
Read 2 more answers
Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
mixas84 [53]
The median for city A is 4 because the bracket is 2, 3.5, 4, 4, 5, 5.5. The middle numbers are 4 which add to eight and divide by two to make 4. The median for city B is 5. 25 because the bracket is 3.5, 4, 5, 5.5, 6, and 6. The middle numbers are 5 and 5.5 which add to 10.5 and divide by two to make 5.25.
4 0
2 years ago
IM CONFUSED AGAIN- i hate math
allochka39001 [22]

Answer: 1:50

The scale factor is 5/250 = 1/50

3 0
3 years ago
Read 2 more answers
Factor completely x^8- 16.
Nataly_w [17]

Answer:

Step-by-step explanation:


So in this example we'll be using the difference of squares which essentially states that: (a-b)(a+b)=a^2-b^2 or another way to think of it would be: a-b=(\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}). So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:

x^8-16 = (x^4-4)(x^4+4)

Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:

x^4-4 = (x^2-2)(x^2+2)

So completely factored form is: (x^2-2)(x^2+4)(x^4+4)

I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because x^2+4 = x^2-(-4). and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: x^4+4 = x^4 - (-4) = (x^2-\sqrt{-4})(x^2+\sqrt{-4}) = (x^2-2i)(x^2+2i) just something that might be useful in some cases.

7 0
1 year ago
Read 2 more answers
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