If 4 is added to both numerator and denominator of 5/8, by how much is the fraction changed?

Explain how 2 different squares can be made using the number 9.

faltersainse [42]

You can make two squares with 8, and put a line through one of them making one square two triangles put together.

5 0

3 years ago

Math

lozanna [386]

Answer:

1. x=6

2. C <-26

3. p<6

4. -5x-44

Step-by-step explanation:

1. 2x = 3(x-2) - 3(x-6)

Distribute

2x= 3x-6 -3x+18

Combine like terms

2x =12

Divide by 2

2x/2 =12/2

x=6

2. C+6<-20

Subtract 6 from each side

C+6-6 < -20-6

C <-26

3. -5p > -30

Divide by -5. Remember to flip the inequality when dividing by a negative

-5p/-5 < -30/-5

p<6

4. -4 - 5(X+8)

Distribute

-4 -5x-40

Combine like terms

-5x-44

6 0

4 years ago

Use divisions to convert the base ten numeral 2308 to base seven

Contact [7]

Hard work you got there keep looking !

8 0

3 years ago

You want to survey seventh-grade students about computer use. Which sample is more likely to be random? You ask seventh-graders

vova2212 [387]

Answer:

You ask seventh-graders leaving the cafeteria after lunch.

Step-by-step explanation:

Try and choose a sample with the student group that has nothing to do with what you're testing for. It will take a bit of "creative" thinking and guessing about the lives of students in each of these groups. We try to choose a good sample to get accurate or less-biased results.

You ask seventh-graders entering a library on Friday night.

Friday night, some students are quicker to leave school and start the weekend. The students who go to the library might be more studious and work can be done on the computer. Libraries also have computers available for people to use for gaming. Your sample would have students who use the computer more.

You ask seventh-graders leaving a school basketball game.

Students who watch a basketball game usually do so by choice. We could assume that these students spend most of their free time playing sports, which are not done on the computer. Your sample would contain students who use a computer less.

You ask seventh-graders leaving the cafeteria after lunch. 

The cafeteria is usually filled with all or most of the students in the entire school. Every student would need to eat, so you will find all "types" of students here. Your sample would contain all "types" of students.

You ask seventh-graders entering the computer lab.

These students very obviously use a computer, given you go to a place filled with computers to survey them. Your sample would mostly contain students who use a computer more.

7 0

3 years ago

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$