Order the following integers from least to greatest 6, 11, 16, -8, -5

Please help me answer this question quickly as possible

GuDViN [60]

Answer:

the blanks for 54 are: 1,2,3,6

the blanks for 42 are: 1,2,3

HCF: 3

Step-by-step explanation:

the factors of each number are:

1 54 1 42

2 27 2 21

3 18 3 14

6 9

8 0

3 years ago

If 11250 = m(600) + b and 7650 = m(400) + b, how do I find the values of b and m? I forgot how to compare when I have two differ

Lelu [443]

Answer:

$b=450$ and $m=18$

Step-by-step explanation:

This exercise is an example of linear system equations. A system of linear equations is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all of them. What these equations do is relate the unknowns to each other.

The easy way to solve this problem is by using the reduction method.The reduction method consists of operating between the equations, such as adding or subtracting both equations, so that one of the unknowns disappears. Thus, we obtain an equation with a single unknown.

Ordering the equations as a system equations.

$\left \{ {{600m+b=11250} \atop {400m+b=7650}} \right.$

Using the reduction method, let's substract the second equation with the first equation, in order to clear m.

600m + b = 11250

-400m - b = -7650

200m = 3600 --------> m = 3600/200 -----> m = 18

We can substitute the value of m in any of the two equations to obtain the unknow b.

Let's substitute the value of m in the second equation.

400(18) + b = 7650

7200 + b = 7650 -----> b = 7650 - 7200 -------> b = 450

We can check this values in both equations.

600m + b = 11250 -----> 600(18) + 450 = 11250

400m + b = 7650 -----> 400(18) + 450 = 7650

Satisfying the result of both equations.

6 0

3 years ago

A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture wo

atroni [7]

Let x be the number of pounds of the $1.35 beans. The cost of those beans is $1.35 * x, or 1.35x.
Let y be the number of pounds of the $1.05 beans. The cost of those beans is $1.05 * y, or 1.05y. 
We know that 120 pounds of the mix sells for $1.15/pound, for a total of 120 * 1.15 = $138. 

x + y = 120 
1.35(x) + (1.05)y = 138 

We can rewrite the first as 
x = -y + 120 

Now we can substitute (-y + 120) in for (x) in the second equation, because we just proved they're equal. 

1.35(x) + 1.05(y) = 138 
1.35(-y + 120) + 1.05y = 138 
-1.35y + 162 + 1.05y = 138 
-0.3y + 162 = 138 
-0.3y = -24 
y = 80 

And since x + y = 120, that means x = 40. 

Check: 
40 pounds of x at $1.35 costs 40 * 1.35, or $54. 
80 pounds of y at $1.05 costs 80 * 1.05, or $84. 
Do those add up to our target total, according to the question, of 120 * 1.15 = $138?

3 0

3 years ago

The wavelength of red light in a spectrum is about 0.0000007 meters. Which

Nana76 [90]

Answer:

$0.0000007$

And if we count the number of zeros before the number 7, we can rewrite the number like this:

$7x10^{-7}$

We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

And the best option would be:

B. 7 x 10-7

Step-by-step explanation:

For this case we have the following number given:

$0.0000007$

And if we count the number of zeros before the number 7, we can rewrite the number like this:

$7x10^{-7}$

We cansolve this problem also counting the number of positions that we need to move the decimal point to the right in order to obtain the first number (7)

And the best option would be:

B. 7 x 10-7

8 0

3 years ago

A suit is on sale for

Luba_88 [7]

476+23.8+11.9= 499 510 the answer is 511.70

5 0

3 years ago