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rjkz [21]
3 years ago
13

The sum of four times a first number and eight times a second number is 64. If the second number is subtracted from four times t

he first number,the result is 19. Find the numbers.
Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

First number is 6, second is 5

Step-by-step explanation:

What you have to do here is make a system of equations. X will be the first number, and y will be the second. With the first sentence, we can make the equation 4x + 8y = 64. The second sentence gives us 4x - y = 19. We can subtract these two equations to get 9y = 45. Quickly solving this we get y = 5. If we plug that in to the second equation, then we get 4x - 5 = 19. 4x = 24, then we solve that and get 6.

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Find the value of x.<br> 140°<br> 40<br> 2x<br> A. 50<br> B. 90<br> C. 20<br> D. 70
Temka [501]
B is the answer
Hope this help help
7 0
3 years ago
How many ounces of milk are there in a half gallon
snow_lady [41]
There are 64 ounces total in a half gallon

4 0
3 years ago
Read 2 more answers
A tank and a pail contained a total of 962 ml of water. When 250 ml of water was poured from the pail to the tank, the amount of
Allisa [31]

By solving a system of equations, we will see that the pail originally contained 382.9 ml.

<h3>How to write the system of equations?</h3>

First, we need to define the variables, we will use:

  • T = amount of water in the tank.
  • P = amount of water in the pail.

First, we know that the total amount of water is 962 ml, then we have:

P + T = 962 ml.

We also know that if we pour 250 ml from the pail to the tank, the amount of water in the tank will be 12 times the amount of water in the pail, this is written as:

T + 250ml = 12*(P - 250ml)

Then the system of equations is:

P + T = 962 ml

T + 250ml = 12*(P - 250ml)

To solve this, first, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = 962 ml - P

Now we replace this into the other equation to get:

(962 ml - P) + 250ml = 12*(P - 250ml)

Now we can solve this for P.

962 ml + 250 ml - P = 12*P - 12*250 ml

1,212 ml - P = 12*P - 3,000 ml

1,212  ml + 3,000 ml = 12*P - P

(4,212 ml)/11 = P = 382.9 ml

So the pail originally contained 382.9 ml

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
2 years ago
Solve 3x + 9 = 24.<br> A. x = 5<br> B. x = 11<br> C. x = 12<br> D. x = 18
DIA [1.3K]

Answer:

A. x = 5

Step-by-step explanation:

3x + 9 = 24

→ Minus 9 from both sides

3x = 15

→ Divide both sides by 3

x = 5

4 0
1 year ago
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
masha68 [24]

The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.

Given that BD is diameter of the circle and angle BAC is 100°.

We are required to find the central angle, major arc, minor arc, m BEC, BC.

Angle is basically finding out the intensity of inclination of something on the surface.

In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.

Major arc of a circle is that arc whose length is larger than all other arcs in the circle.

In our circle the major arc is arc BED.

Minor arc of a circle is that arc whose length is smaller.

In our circle the minor arc is arc ADC.

We know that arc's length is 2πr(Θ/360)

In this way BC=2π*(BD/2)*100/360

=(5π*BD)/18

We cannot find angle BEC.

Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.

Learn more about angles at brainly.com/question/25716982

#SPJ1

7 0
2 years ago
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