One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Answers

Answer 1
Answer: so x=5y
reciprocal of x=1/x then

sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same

1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so 
x=5(3)
x=15
y=3

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What is a group of equations that have a common intersection point?

Answers

I think it is called Euclidean geometry.

What is 4x+3y=14 2y=6+4x

Answers

4x+3y=14
2y=6+4x
we can isolate the y in the second function
2y=6+4x
/2      /2
y=3+2x
then change all the y to 3+2x in first function
4x+3(3+2x)=14
4x+9+6x=14
10x=5
/10   /10
x=0.5  or 1/2
then fill the x in the function, get y.(each function will work)
2y=6+4x
2y=6+4(1/2)
2y=6+2
2y=8
y=4
x=0.5    y=4

Use the intercepts to graph the equation. -x+2y=4

Answers

Answer:

X-intercept: To find the x-intercept, set y to 0 and solve for x.

-x + 2(0) = 4

-x = 4

x = -4

So, the x-intercept is (-4, 0).

Y-intercept: To find the y-intercept, set x to 0 and solve for y.

-0 + 2y = 4

2y = 4

y = 4/2

y = 2

So, the y-intercept is (0, 2).

Step-by-step explanation:

The solution of the equation is x= .

Answers

Answer:

x=1

Step-by-step explanation:

Step 1:  Cross-Multiply

What cross multiply basically means is that you take both sides of the equation and you multiply my the opposite sides.  So you take the top of the left fraction and multiply it by the bottom of the right fraction.  You then have an equal sign and then have the bottom of the left fraction multiplied by the top of the right fraction.

(2)/(7)=(6x)/(4x+17)

2(4x+17)=7(6x)

Step 2:  Distribute

2(4x+17)=7(6x)

(2*4x)+(2*17)=(7*6x)

8x+34=42x

Step 3:  Subtract 8x from both sides

8x + 34- 8x = 42x - 8x

34=34x

Step 4:  Divide both sides by 34

34/34 = 34x/34

1=x

Answer:  x=1

The answer to your question would be X=1

You are Miguel Cervantes de Navas y Colon, captain in the Royal SpanishArmy in Sevilla in the year 1842. Outside your barracks window is a stack of
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?

Answers

650 is the number of cannonballs.  It typically fires a projectile propelled by an explosive chemical.

What is cannonballs?

A cannon constitutes a large-caliber gun that belongs to the artillery category. It typically fires a projectile propelled by an explosive chemical. Prior to the development of smokeless powder in the late 19th century, gunpowder (sometimes known as "black powder") served as the main propellant.

Depending on their intended purpose on the battlefield, different types of gun combine and balance these characteristics to differing degrees. Cannons differ in gauge, effective range, mobility, rate of fire, angle of fire, and firepower. A large artillery weapon is a cannon.

By utilizing the formula of a square pyramid,

n(n+1)(2n+1)/6

12(12+1)(2(12)+1)/6

12(13)(25)/6

2*13*25

=650

Therefore, 650 is the number of cannonballs.

To know more about cannonballs, here:

brainly.com/question/14330897

#SPJ7

Answer: The correct answer would be 164(c)

Step-by-step explanation:

You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish

Army in Sevilla in the year 1842. Outside your barracks window is a stack of

cannonballs, as shown in the illustration. On an idle afternoon you decide to

calculate the number of cannonballs in the stack. What is the number of

cannonballs?

What is simpler answer to 28 over 35

Answers

To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (28) and the denominator (35) and find the biggest common number between the two numbers.

Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 35: 1, 5, 7, 35

Out of those factors, we can see that 1 and 7 are the common factors, but 7 is the greatest which makes it our GCF. 

Now we can divide the numerator and the denominator by the GCF to receive our simplest form.

28 ÷ 7 = 4

35 ÷ 7 = 5

Rewrite the fraction with the new numerator (4) and the new denominator (5).

The simplest form is: 4/5 or 0.8.