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QveST [7]
3 years ago
12

Four less than nine times a number is one hundred twenty-two. Find the original number.

Mathematics
1 answer:
Tasya [4]3 years ago
3 0

Answer:

The number is 14

Step-by-step explanation:

Denote the original number by z. The expression "Four less than nine times a number is one hundred twenty-two" can be rewritten in an equation.

Our number is z, then the left hand side of the equation is 9z-4.

The right side of the equation is 122. Then the complete equation is 9z-4=122. Add 4 in both sides to get 9z=122+4=126. Now, divide by 9 in both sides to get z=\frac{126}{9}=14

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earnstyle [38]
Ty for points ahaha












No jk lol I think it’s 12.7
4 0
3 years ago
Question 2 please fas
Len [333]

Answer:

a = 3, b = 2

Step-by-step explanation:

It is given that both the polynomials are equal.

Therefore, h(x) = k(x)

{x}^{3}  + (a + b) {x}^{2}  - 4x + 2 \\  =  {x}^{3}  + 5 {x}^{2}  - (2a - b)x + 2 \\  \\ equating \: like \: terms \: on \: both \: sides \\ (a + b) {x}^{2}  = 5 {x}^{2}   \\  \implies \: a + b = 5.....(1) \\  \\  - (2a - b)x =  - 4x \\ 2a - b = 4....(2) \\  \\ adding \: equations \: (1) \: and \: (2) \\  \\ 3a = 9 \\   \implies \: a =  \frac{9}{3}  \\   \huge \red{ \boxed{\implies \: a = 3}} \\  \\ substituting \: a = 3 \: in \: equation \: (1) \\ 3 + b = 5 \\   \implies \: b = 5 - 3 \\ \huge \purple{ \boxed{ \implies  b = 2}}

5 0
3 years ago
Find the value of y....?
DiKsa [7]

Answer:

B) 12

Step-by-step explanation:

(9y + 7)° + (7y - 19)° = 180° (interior angles in the same side of transversal)

(9y + 7 + 7y - 19)° = 180°

(16y - 12)° = 180°

16y - 12 = 180

16y = 180 + 12

16y = 192

y = 192/16

y = 12

6 0
3 years ago
Read 2 more answers
On a certain day, the temperature changed at a rate of -3 per how. How long did it take for the change in temperature to be -33?
oee [108]

Answer:

  • Considering the temperature is 0°C and
  • It is changing at a rate of -3 per hour.

So, it took 11 hours for the change in temperature to be -33.

Step-by-step explanation:

Rate of change basically means the amount of change to how long it takes for the change to occur.

Rate of change = Change in Value/ Change in time

On a certain day the temperature changed at a rate of -3 per hour.

Let suppose the Temperature at 8:00 = 0°C

As the temperature changed at a rate of -3 per hour.

It means the Temperature at 9:00 = -3°C.

so

Rate of change = (-3 - 0)/(9:00 - 8:00) = -3°C per hour

So, the temperature to be -33°C, it would take 11 hour as -3 × 11 = -33.

Therefore, it took 11 hours for the change in temperature to be -33.

8 0
4 years ago
Help help help I don’t understand
3241004551 [841]
Without regard to the format you need to put your proof in...
Basically if something is an angle bisector then that means it cuts an angle evenly in two, so both side of the angle are the same. In this case you’re bisecting a 52 degree angle, which means that each of the two resulting angles are 52/2 = 26 degrees. Hope that helps!
7 0
3 years ago
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