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Pani-rosa [81]
3 years ago
9

One number is 7 more 3 times another number. the sum is 75. what is the smaller number

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation

X = 7 + 3Y i

X + Y = 75 ii

So, multiplying ii by -1 and adding with i

X = 7 + 3Y

- X - Y = - 75

- Y = 7 + 3Y - 75

4Y = 68

Y = 17

for X we will use ii:

X + Y = 75

X + 17 = 75

X = 58

The smaller number is: 17

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Alexxx [7]
In math the sum means to add
6 0
3 years ago
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John has a round swimming pool.The distance from the center of the pool to the edge is 3 meters.What is the diameter of John poo
shtirl [24]

Answer:

6 meters

Step-by-step explanation:

Th equation to find the diameter of a circle is,

radius * 2.

The radius of the swimming pool is 3, so 3 * 2 is 6.

Hope this helps!!

Let me know if I'm wrong...

8 0
3 years ago
Tammy bought a nightstand that was marked down 60% from an original price of $50. If she paid 10% sales tax, what was the total
AURORKA [14]

Answer: the total cost of the nightstand is $22

Step-by-step explanation:

The original price of the night stand is $50. If the original price of the night stand was marked down by 60%, it means that the amount of money by which it was reduced would be

60/100 × 50 = 0.6 × 50 = 30

The new selling price would be

50 - 30 = $20

If she paid 10% sales tax,the amount of tax paid would be

10/100 × 20 = 0.1 × 20 = 2

Therefore, the total cost of the nightstand would be

20 + 2 = $22

7 0
3 years ago
Please help me its a math problem !! please see image
erma4kov [3.2K]

Answer:

<u>y ≤ 4</u>

Step-by-step explanation:

Solving :

  • Highest y-value is 4
  • The other y-values are less than 4
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5 0
2 years ago
Matt and Anna Killian are frequent fliers on​ Fast-n-Go Airlines. They often fly between two cities that are a distance of 1980
Ymorist [56]

Answer:

y (plane speed) 400 miles/hr

x (wind speed)  40 miles/hr

Step-by-step explanation:

going into the wind make the plane flew 5,5 hours to get 1980 miles, implies the real travel speed was

1980 / 5,5 = 360 miles/hours, and at the same time is the result of:  

speed plane (y)  in direction A to B  plus wind speed (x) in direction B to A. Notice opposites direction speed, so we have:

y + (-x) = 360          (1)

The return fly  took 4,5 hours so 1980/4,5 = 440 miles/ hours as the result

Y + x = 440             (2)

We have a two equation with two variables system, It could be solved for any of the procedures. We will use the substitution method.

From equation      (1)        y + (-x) = 360         y  - x = 360      y = 360 + x    (1)

In the second equation    

y + x = 440         then we replace y for its value as function of x

(360 + x ) + x = 440

Solving for x        360 + 2x = 440      or    2x = 440 – 360        

 x   (440 - 360)/2

 x = 40 miles/hr

 X (wind speed ) = 40 miles/hr

And replacing the value of x in eq. (1)        y = 360 + 40 = 400

Y (plane speed) = 400 miles /hr

3 0
3 years ago
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