Robin made a cuboid of plasticine. Length, breadth, and height of the cuboid are

Two lines, E and F, are represented by the equations given below.

shusha [124]

Although you have not included the statements about the solution to the set of the given equations, I can explain you what happen with that system.

You can arrive to the same conclusion by any method of solution of systems that you like.

The quickest in this case, is to multiply the equation of the lIne F by 5.

That leads to: 5 (x + y) = 5(8)

⇒ 5x + 5y = 40.

Now you can realize that the two representations (equations) correspond to the same line.

That means that there are infinite solutions, this is infinity values of x and y meet both equations.

If you graph line E and line F they overlap in the entire domain, so the graphing method also tells you that you cannot find one solution but infinite soluttions.

6 0

3 years ago

Read 2 more answers

1500 soldiers arrive at a training camp. A few soldiers desert the camp. The drill sergeants divide the remaining soldiers into

iren [92.7K]

Answer:

The number of deserters is 34.

Step-by-step explanation:

We have to calculate the number of desertors in a group of 1500 soldiers.

The sergeant divides in groups of different numbers and count the lefts over.

If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.

If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.

If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.

If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

$(1431-3)/11=1428/11=129.82\\\\(1466-3)/11=1463/11=133$

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.

The deserters are 34:

$D=1500-1466=34$

6 0

3 years ago

A and B are two events. Let P(A) = 0.3, P(B) = 0.9, and P(Aand B) = 0.24. Which statement is true?

gavmur [86]

Answer:

blue one (c), not independent because P(A|B) ≠ P(A)

Step-by-step explanation:

Two events are independent of each other if you can mulitply them to get their intersection

To find the conditonal probability of two independent events you can use the following idea/formula

P(A|B)= (P(A)*P(B))/P(B) which simplifies to P(A) (so the probability of A given B when A and B are independent of each other is just the probability of A)

Now with the numbers we're given let's find P(A|B)

.24/.9= .26666666666667

Because this is not equal to .3 (or P(A)) the answer must be the blue one

4 0

3 years ago

Suppose it takes 180 credits to get a baccalaureate degree. You accumulate credit at the rate of one credit per quarter for each

jonny [76]

The total time to be invested to get a degree would be 630 hours

Total credits required = 180 credits

Number weeks In a quarter = 10 weeks

Number of credit earned per hour = 1 credit

To earn a degree :

Number of credits required per week :

180 / 10 = 18 credits per week

Since, credit is earned at a rate of 1 per hour ; then ;

Number of class hours per week = 18 hours per week.

This means 180 class hours is required.

For every class hour ; 2.5 hours is used for outside class study

Hence, Total outside class study hours will be :

(2.5 hours × 180 hours) = 450 hours

Therefore,

Total hours that would be invested :

(total outside class hours + tt’otal class hours)

(450 + 180) = 630 hours

Learn More : brainly.com/question/18796573

3 0

3 years ago

What is the slope of the equation y = 2 x - 1? 3 x

N76 [4]

Answer:

2

Step-by-step explanation:

If the equation is in the form y = mx + b, then m is the slope and b is the y-intercept (For example - in the equation y = 3x + 2 the slope is 3 and the y-intercept is 2)

In this case, the number next to x is 2, so that's the slope.

4 0

3 years ago