The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by twice the third the result is 28 what are the three numbers

Answers

Answer 1

Answer:

the three numbers = -8, -32, -30

Step-by-step explanation:

let the first number = a

let the second number = b

let the third number = c

From the first statement:  b = 4a

From the second statement: c = b + 2

From the third statement: b - 2c = 28

From the above equations, we can solve (1) and (2) together.

c = b + 2

b = c - 2

Also, b - 2c = 28

(c - 2) - 2c = 28

c - 2 - 2c = 28

-c = 30

c = -30

b = -30 - 2

  = -32

b = 4a

a = b/4

a = -32/4

a = -8

Therefore, the three numbers = -8, -32, -30


Related Questions

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.


12.4 in

3.1 in

16.7 in

11.2 in

Answers

Answer:

3.1 in

Step-by-step explanation:

a² + b² =c²

12=c

11.6=b

c²- b² = a²

12²-11.6²= 9.44

√9.44 = 3.07 Rounded = 3.1 in

Question 2 : Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of a.

Answers

Answer:

you should draw it in your graph sis

give me some points i have question two

Step-by-step explanation:

I NEED IT PLEASE ASAP

Answers

44 boots were sold all together
(Can you make me brainliest

Answer: 24+6=30

Step-by-step explanation:

Football(6)  rugby(2)  hiking(3)

the order it gave you the info was football then rugby then hiking they way it gave you the number was 6,2,3 so football was said first and the number 6 was said first so football matches up with 6 therefore just add the two number and you get 30

Ivanna has bought 30 pounds of dog food. She feeds her dog 3/5 pounds for each meal. For how many meals will the food last?

Answers

Answer:50

Step-by-step explanation:

3/5 = 3 ÷ 5 = 0.6

30 ÷ 0.6 = 50

otra explicacion:

30/1 ÷ 3/5= 30/1 x 5/3 = 150/3 = 50

pls help pls help pls help

Answers

Sin C= 3/5
Your answer would be A

The solutions of x² = 16x - 28 are
1) -2 and -14
2) 2 and 14
3) -4 and -7
4) 4 and 7

Answers

2 and 14
hope this helps

2%, percent of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle School.

Answers

Answer:

14 kids

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

To find percents I usually just divide the 100% number by 100 in order to get the number that would be 1% of the whole. Thjen, I just multiply the 1% number by however many degrees you need to find.

700÷100=7

7×2=14

14 kids with red hair

(I NEED HELP ASAP) In a class, there are 25 boys and 15 girls. If a student is selected at random, what is the probability that the student is a boy?


15/25
3/8
25/15
5/8​

Answers

Answer: 3rd

Answer: 3rd

25/15

what is the least number of apples that can be shared equally among either 6, 10 or 15 children?
A. 24
B. 30
C. 60
D. 90​

Answers

30. It is divisible by 6 10 and 15

A triangular prism whose total surface area = 64 cm2, and its lateral area = 40 cm2, find the area of ​​its base?

Answers

Answer:

Area of ​​its base = 12cm²

Step-by-step explanation:

The Area of ​​its base = 1/2 of its surface area - 1/2 of its lateral area

Its surface area = 64, then 1/2 X 64 = 32cm²

Its lateral area = 40, then 1/2 X 40 = 20cm²

So, Area of ​​its base = 32 - 20 = 12cm²

MARKING BRAINLIEST

PLS HELP

Answers

It would be the f(x+3) + 2

Answer:

B

Step-by-step explanation:

It goes up and right

please I need it urgent​

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

[tex]1[/tex] ✅

Step-by-step explanation:

[tex] \frac{ {x}^{a + b} \times {x}^{b + c} \times {x}^{c + a} }{ {x}^{2a} \times {x}^{2b} \times {x}^{2c} } \\ \\ = \frac{ {x}^{a + b + b + c + c + a} }{ {x}^{2a + 2b + 2c} } \\ \\ (∵ {x}^{m} \times {x}^{n} = {x}^{m + n} ) \\ \\ = \frac{ {x}^{2a + 2b + 2c} }{ {x}^{2a + 2 b+ 2c} } \\ \\ = 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Determine the length of side CB.
A)
5
B)
5V
5V
D)
10

Answers

Answer:  [tex]5\sqrt{3}[/tex]  which is choice C

=====================================================

Explanation:

This is a 30-60-90 triangle. The short leg is 5, as it's opposite the smallest angle. The long leg is [tex]\sqrt{3}[/tex] times that of the short leg.

A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the height of the building ?

Answers

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

Plz find the surface area

Answers

Answer:

What are the answers?

10 Y What is the vertical change from Point A to Point B? 9 8 What is the horizontal change from Point A to Point B? 7 6 What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary 5 4 3 3 B 2 A 1 X 1 . 2 3 4 5 6 7 8 9 10

Answers

Answer:

0.5

Step-by-step explanation:

From the graph given ;

The vertical distance ; y - axis :

(y2 - y1) ; y2 = 2 ; y1 = 1

y2 - y1 = 2 - 1 = 1

The horizontal distance ; the x - axis :

(x2 - x1) ; x2 = 4 ; x1 = 2

x2 - x1 = 4 - 2 = 2

The slope ; the rate of change :

Change in y / change in x

The rate of change ;

(y2 - y1) / (x2 - x1) = 1 / 2

Evaluate 15/r - 1 when r =5

Answers

Answer:

3.75

Step-by-step explanation:

calculator because yes:)

Help! To solve this system of equations by elimination, what operatfon could be used to eliminate the x-variable and find the value of y?
6x + 5y = 2
4x + 2y = 8
es )
A)
subtract 2 times the second equation from 3 times the first equation
B)
subtract 3 times the second equation from 2 times the first equation
9
subtract 5 times the second equation from 2 times the first equation
D)
subtract 2 times the second equation from 5 times the first equation

Answers

Answer:

c)

subtract 5 times the second equation from 2 times the first equation

Step-by-step explanation:

subtract 5 times the second equation from 2 times the first equation

This will make the coefficient of the y variable 10

for both equations

10y - 10y = 0

leaving only x

can someone please help

Answers

Answer:

I think its Your Values, but try and a get a second opinion

There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.​

Answers

Hope this helps :D
(The number or letter written inside is the number of cups)

If I have 75 oranges and I eat two and a half everyday for 30 days how many will I have eaten in one month

Answers

Answer:

all 75 of them

Step-by-step explanation:

2.5(30) = 75

Anyone know this question ??

Answers

Answer:

no but i can create a code from this:

Step-by-step explanation:

java:

int steps = 4;

for (int i = 0; i < steps; i++) { }

this part is psuedocode:

print(i) blocks

there will be 36 squared.

each new step adds one more than the last step added.

f(1) = 1

f(2) = 3 = 1+2

f(3) = 6 = 1+2+3

f(4) = 10 = 1+2+3+4

the pattern is now clear hopefully

f(8) = 1+2+3+4+5+6+7+8 = 1+8 + 2+7 + 3+6 + 4+5 = 9+9+9+9 = 9*4 = 36

FILL IN THE BLANK
Because the area of a parallelogram is equal to the _____ of the base and the height, the area is the _____ of π r and r, or π r squared.

A. product, product
B. quotient, quotient
C. difference, difference
D. sum, sum​

Answers

You’re answer is d (sum,sum).

In the later afternoon on a sunny day, Shanice goes outside with a tape measure. She first measures her shadow which is 7 feet 6 inches long. She then measures the shadow of the oak tree in the back yard which is a whopping 74 feet 3 inches. Not content to stop there, she also measures the shadow of her house (taking the longest measurement possible) and finds that it is 28 feet 6 inches. Using this information, find out how much taller the tree is than the house if Shanice's actual height is 5 feet 10 inches.

Answers

Answer:

29 feets 3 inches

Step-by-step explanation:

We need to obtain the actual height of oak tree :

Converting measurement to inches :.

1 Feet = 12 inches

Shanice height, SA = 5ft 10 in = (12*5 + 10) = 70 in

Shanice shadow, SS = 7ft 6in = (12*7 + 6) = 90 in

Tree shadow, TS = 74ft 3 in =(12*74 + 3) = 891 in

Let actual tree height = TH

Using the relation :

SA / SS = TH / TS

70 / 90 = TH / 891

Cross multiply :

90 * TH = 891 * 70

TH = (891 * 70) / 90

TH = 693 inches

Height of house = 28ft 6 in = (28*12 + 6) = 342 in

Height difference :

(693 - 342) in = 351 inches

351 in / 12 = 29 feets 3 inches

Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?

Answers

Answer: Hay 13 mujeres. (No hablo espanol.)

what is 94.2 and 87 averaged out

Answers

Answer:

90.6

Step-by-step explanation:

total is 181.2 divided by 2 is 90.6

The answer is 90.6 . You take the sum of the numbers and divide by two .

What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ft, and a length of 18ft?

Answers

Answer:

The answer is 3366 cubic feet.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (18ft) (11ft) (17ft).

Then, solve the equation for the answer, and the answer will be 3366 cubic feet.

Answer:3366

Step-by-step explanation:

any flvs algebra students wanna help me out? :')

Answers

34.5 is correct because

Tell whether the triangle with the given side lengths is a right triangle. Y/N question

Answers

Yes because,
16^2 + 63^2 = 65^2
By this we can obviously say that,
The sum of the squares of the two sides = the square of hypotenuse
Which makes it a right angle triangle.

Answer:

yes , it is a right triangle.

Step-by-step explanation:

according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.

Here , 65 is largest side so it is hypotenuse and other two sides are the legs of the triangle.

pythagoras theorem:

a^2 + b^2 = c^2

16^2 + 63^2 = 65^2

256 + 3969 = 4225

4225 = 4225

since both sides are equal it can be concluded that the given side lengths d forms a right triangle.

Solve the following equation:
[tex]x + \sqrt{x+3} = 3 + 3\sqrt{1-x}[/tex]

Answers

Answer:

[tex]x+\sqrt{x+3}=3+3\sqrt{1-x}[/tex]

[tex]Remove~ Square ~root[/tex]

[tex]-36x^3+252x^2-540x+324=[/tex]

[tex]x^4-32x^3+286x^2-480x+225[/tex]

[tex]Now ~\mathrm{Switch\:sides}[/tex]

[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18=x+3[/tex]

[tex]\mathrm{Subtract\:}x^2-15x\mathrm{\:from\:both\:sides}[/tex]

[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18-\left(x^2-15x\right)=[/tex]

[tex]x+3-\left(x^2-15x\right)[/tex]

[tex]New ~Simplify[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18=-x^2+16x+3[/tex]

[tex]Subtract ~18~ from ~ both~ sides[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18-18=-x^2+16x+3-18[/tex]

[tex]Simplify[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}=-x^2+16x-15[/tex]

[tex]Now~ factor:[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}(-x+3)[/tex]

[tex]6\sqrt{-x+1}\left(-x+3\right)=-x^2+16x-15[/tex]

[tex]Solve~~-36x^{3}+252x^{2} -540x+324=x^{4} -32x^{3} +286x^{2} -480x+225=[/tex]

[tex]x=1,\:x=-3[/tex]

-----------------------hope it helps..have a nice day/night
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