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ElenaW [278]
2 years ago
7

Michael had 3 times as many mangoes as Junior. After eating 8 mangoes. Michael had

Mathematics
1 answer:
jolli1 [7]2 years ago
4 0

Answer:

Michael: 24

Junior: 8

Step-by-step explanation:

8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.

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11 You are renting a car for a trip. You call two different rental car places about prices. Each
Sonja [21]

Answer:

Step-by-step explanation:

m is number of miles

A: 45+0.21m (45 is the initial cost)

B: 28+0.38m (28 is the initial cost)

To know how in many miles the cost will be equal,

45+0.21m=28+0.38m

0.38m-0.21m=45-28

0.17m=17

m=17/0.17 = 100

So, at 100 miles the cost will be same for company A and B.

4 0
3 years ago
Use long division to determine the decimal equivalent of fraction with numerator 2 and denominator 3. 0 point 6 bar 0 point 7 ba
VikaD [51]

Answer:

The correct answer is A

0.\bar6

Step-by-step explanation:

We want to determine the decimal equivalence of \frac{2}{3}.


We perform the long division as shown in the attachment.


Note that in carry out the long division, the denominator which is 3, will be outside the long division sign, while the numerator which is 2, will be inside the long division sign.

We see that the quotient of our long division is 0.6666....


We can rewrite this as 0.\bar6


Therefore \frac{2}{3}=0.\bar6.


4 0
3 years ago
Read 2 more answers
The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?
Alexxx [7]

Answer:

67

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

8 0
2 years ago
6 to the power of -1 in simplified form
babunello [35]
-6. 6^0 is 1 so 6 to -1 is -6.
7 0
1 year ago
In which of the following quadrilaterals are consecutive and opposite angles always congruent? Check all that apply
ioda
 A. Rectangle and D. Square:::::: thats what I came up with

Parallelograms and Rhombuses have supplementary angles 
7 0
3 years ago
Read 2 more answers
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