All categories

2 years ago

Nine less than four times a number is the same as nineteen

Mathematics

2 answers:

BaLLatris [955]2 years ago

5 0

Answer:

x= 7, the number is 7

Step-by-step explanation:

4x-9= 19

Add 9 to both sides

4x=28

Divide each side by 4

x=7

Lemur [1.5K]2 years ago

5 0

Answer:

4x - 9 = 19

Step-by-step explanation:

We can represent 4 times any numbers as 4x.

Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.

They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.

You might be interested in

Can you check if I did this right? (:

ra1l [238]

The graph looks accurate make sure you create a table of values and clearly dot the points at (0,-3) and (2,-3).

7 0

2 years ago

Read 2 more answers

Two boats sail away from a buoy making a 90 degree angle. The first boat is 165 meters away and is traveling at 25 m/s. The seco

NikAS [45]

Answer:

Step-by-step explanation:

lets say in the shown triangle x=165

so speed $\frac{dx}{dt} =25$

and $\frac{dy}{dt} =35$

Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = $\frac{35\pi \pi }{60}$

y = $\frac{7\pi }{12}$

Now using the pythagorean :

$x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2$

derivate the equation so we get :

$x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\$ $165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}$

$\frac{dz}{dt} =25.387$ m/s

So Rate of change = 25.387 m/s

5 0

2 years ago

Olivia is thinking of a number. She says “my number is odd is is a factor of 30 and a multiple of 3” there are two possible numb

vovikov84 [41]

Answer:

3 and 15

Step-by-step explanation:

Let's list the factors of 30:

1, 2, 3, 5, 10, 15, 30

Of these, the odd ones are:

1, 3, 5, 15

Of these, the only numbers that are multiples of 3 are 3 and 15.

6 0

3 years ago

Read 2 more answers

Write the algebraic expression for each word problem.

Annette [7]

Answers:

Question #6

(b - 7) + 10

Question #7

20 + (w × 50)

Question #8

$\frac{c}{5}$

Question #9

5 + (2 · t)

Question #10

(d · 4) + (p · 2)

5 0

2 years ago

Read 2 more answers

Hey Siri Council consist of eight Democrats and five Republicans if a committee of five people are selected find the probability

Flura [38]

Answer:

55/2574 ≈ 2.18%

Step-by-step explanation:

There are a total of 13 people on the council.

The probability that the first person is a Democrat is 8/13.

The probability that the second person is a Democrat is 7/12.

The probability that the third person is a Republican is 5/11.

The probability that the fourth person is a Republican is 4/10.

The probability that the fifth person is a Republican is 3/9.

The total probability is:

P = (8/13) (7/12) (5/11) (4/10) (3/9)

P = 56/2574

P ≈ 0.0218

There is a 2.18% probability of selecting two Democrats and three Republicans.

6 0

2 years ago