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Salsk061 [2.6K]

3 years ago

7

Please answer numbers 13 14 and 15

1 answer:

AlekseyPX3 years ago

3 0

13. it's > because 18,000g = 18kg and that's greater
14.8.456L = 8456ml so it's < 9L
15.2m = 200cm which is < 275cm

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The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

46

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

3 years ago

Elaborar 10 ejemplos de números decimales con tres términos por ejemplo : 3.99+0.000345+322.99

maksim [4K]

Answer:

lala lala 4 yes did that work

5 0

2 years ago

A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and

OLEGan [10]

Answer:

$5.77\ \text{m}$

$11.54\ \text{m}$

Step-by-step explanation:

p = Height of pole

h = Length of role

b = Distance between the bottom of the rope and bottom of the pole = 10 m

$\theta$ = Angle between the rope and the ground = $30^{\circ}$

$\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}$

The length of the rope is $5.77\ \text{m}$

$\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}$

The length of the pole is $11.54\ \text{m}$

3 0

2 years ago

The area of the base of this prism is 35cm^2 , what is the volume of the prism

mr Goodwill [35]

V=Bh what is the height of the prism? You do (35^2 )(height)

3 0

3 years ago

What operation should be used to solve the equation 5n = 45?

bulgar [2K]

Answer:

n = 9

Step-by-step explanation:

divide 45 by 5 to find n

45/5 = 9

7 0

2 years ago

Read 2 more answers