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viktelen [127]
4 years ago
7

sally is 1 year older than3 times the age of joe. chris is 5 years younger than 6 times the age of joe. if sally and chris are t

he same age, how old is joe?
Mathematics
1 answer:
Lina20 [59]4 years ago
5 0
6x - 5 = 3x + 1
-3x -3x
————————
3x - 5 = 1
+ 5 + 5
————————
3x = 6
—— —
3 3

x = 2
Joe is 2 years old.

~~~~~~~~~~~~~~~~
Check

6(2) - 5 = 3(2) + 1
12 - 5 = 6 + 1
✔️
7 = 7
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The water content of a certain fruit, by weight, is 80%. Therefore, 20% of the
mihalych1998 [28]

Answer:

50% is water

Step-by-step explanation:

1. 80% is water and 20% is from other material

2. Lets say a fruit has 100g, to make it easier to understand

2. if the fruit loses 75% of its water, it will lose 75% of 80%, which is 60% of the total weight or 60g lost. The fruit is now 40g

3. If 20% was other material (20g), now other material is 50% (the same 20g)

4. Water is now only 20g, which is 50% of the total weight

6 0
3 years ago
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Use the quadratic formula to find the roots: -3x^2 + 27x = 42​
ch4aika [34]

Answer:

x=2,x=7

Step-by-step explanation:

-3x^2+27x=42

x^2-9x+14=0

x^2-2x-7x+14=0

x*(xi2)-7(x-2)=0

(x-2)*(x-7)=0

x-2=0

x-7=0

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x=7

8 0
3 years ago
A palindrome is chosen at random from the list of all $6$-digit palindromes, with all entries equally likely to be chosen. (Reca
kirill115 [55]

Answer:

Expected value 550,000

Step-by-step explanation:

Calculation of the expected value of the chosen number

We should know that each of the digit of the number may likely be thought of what we called a random variable, in which the first digits and the last digits comes uniformly from [1,2,3,4,5,6,7,8,9] while the last digit can't be 0 because of what we called the palindrome condition).

Therefore each of these two digits will have an expected value of 5 while the other four digits will come uniformly from this digits which are [0,1,2,3,4,5,6,7,8,9] in which each of the digits will have an expected value of 4.5.

Thus Expected value is additive, which means we have to also take place the value into account.

Now let find the EXPECTED VALUE

The expected value will be :

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4 0
3 years ago
Which irrational number can be multiplied by negative square root of 41 to get a product that equals 1?
melomori [17]

For this case we define the following variable:

<em>x: unknown number </em>

We then have the following equation:

- \sqrt {41} x = 1

From here, we clear the value of x.

We have then:

x = - \frac {1} {\sqrt {41}}

Answer:

An irrational number that can be multiplied by negative square root of 41 to get a product that equals 1 is:

x = - \frac {1} {\sqrt {41}}


7 0
4 years ago
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Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), x xx seconds after diving, is mode
vovikov84 [41]

Answer: Ana will hit the water after 3 seconds.

Step-by-step explanation:

The exercise gives you the following function which models Anna's height  above the water (in meters) after diving "x" seconds:

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You can rewrite the function with h(x)=y:

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In order to calculate the number of seconds Ana will hit the water after diving, the procedure is:

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By the Zero Product Property, you know that if a* b = 0, then a=0 or b=0.

Then you get:

x=-1\ or\ x=3

- Choose the positive value (x=3)

Then, Ana will hit the water after 3 seconds.

6 0
4 years ago
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