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ivanzaharov [21]
3 years ago
15

The sum of two numbers is 24 and their quotient is 5 what are the two numbers

Mathematics
1 answer:
ELEN [110]3 years ago
4 0
The numbers are "x" and "y";
Therefore, we can suggest this system of equations:
x+y=24                         ⇒x=24-y
x/y=5

solve this problem by substitution method.
(24-y)/y=5
24-y=5y
-y-5y=-24
-6y=-24
y=-24/-6=4

x=24-y
x=24-4
x=20

Answer: the numer are: 20 and 4

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Six times the sum of a number and 8 is 2
ehidna [41]
6(n+8)=2
6n + 48 = 2
6n + 48 - 48 = 2 - 48
6n = -46
N = -46/6
N = -7 2/3

4 0
3 years ago
In ΔXYZ, y = 53 inches, z = 55 inches and ∠X=120°. Find the length of x, to the nearest inch.
djverab [1.8K]

Answer: 94

Step-by-step explanation:

4 0
2 years ago
Please help me with this
xenn [34]

Step-by-step explanation:

based on my understanding of the dreidel, this is a regular spinner with 4 equal sides (but different symbols on them, so, we can clearly distinguish between the possible 4 different outcomes).

in other words, this resembles a die with only 4 sides and therefore only 4 equally probable outcomes.

and therefore, the probability to get the specified symbol in 1 attempt is indeed 1/4.

remember, a probability is always desired cases over totally possible cases.

and here, we have one desired outcome out of 4 possible outcomes. hence the probability of 1/4.

now, we are spinning the dreidel twice.

that means we have now 4×4 = 16 possible outcomes.

but we only want the outcomes, where the specified symbol is showing exactly once - either after the first spin or after the second spin.

so, out of the 16 possible combinations, we want only the ones, where the first spin delivered that result :

1 option on the first spin and 3 options (4 minus the already delivered result) on the second spin : 1×3 = 3.

and the ones, where the second spin delivered the result (but not the first). so, we have 3×1 = 3 options there.

that means we have 6 desired cases out of total 16 possible outcomes, and the probability is

6/16 = 3/8

mathematically we would simply say that the probability is the sum of

the probability of spinning it first combined with the probability of not spinning it second.

the probability of not spinning it first combined with the probability to spin it second.

that is

1/4 × 3/4 = 3/16

+

3/4 × 1/4 = 3/16

-----------------------

6/16 = 3/8

I don't know the options you can select, but I hope you understand the principles I explained. and I gave you the result and the way to calculate it.

so, hopefully you find the fitting options.

8 0
2 years ago
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

2.5= \frac{k}{4} so k = 10

2= \frac{k}{5} so k =10

K values are  same .

Answer is option C


3 0
2 years ago
Another submarine descent can be represented as y= -240 x where y is the elevation and x is time in hours. How long will it take
Juli2301 [7.4K]

Answer:e

Step-by-step explanation:

The equation for the submarine is given as y =-240x

Where y is the distance of the descent

x is the time in hours

and -240 is the rate of distance per unit time

To calculate how long it will take this submarine to reach the descent

x = y /-240

8 0
3 years ago
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