MATHEMATICS MIDDLE SCHOOL

- Find all multiples of 6 up to 75

Answers

Answer 1
Answer: 6,12,18,24,30,36,42,48,54,60,66,72,
Answer 2
Answer:

Answer:

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

Step-by-step explanation:

Just keep adding 6 until you get to 75.

6

6 + 6 = 12

6 + 6 + 6 = 12 + 6 = 18

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Solve the inequality.q > 1
q<(0)/(1)
q>(5)/(6)
q>(1)/(6)

Answers

Answer:

q > 5/6

Step-by-step explanation:

The LCD is (2)(3) = 6.  Mult. all three terms by 6, we get:

6q - 3 > 2.  Isolate q by adding 3 to both sides:

6q > 5.  Then q > 5/6 (the third possible answer).

Please help!!!Which of the following lines is parallel to x=8?

3y=16

X=7

X=y

Y=8


Select the equation of the line that passes through the points (5,7) and is perpendicular to the line x=4.

Y=4

X=5

Y=7

X=7

Answers

The answer to question #1 is x = 7

For a line to be parallel to x = 8, it has to start with x = some number. Such a line would have an undefined slope.

Now, x = y is a line that goes through the origin. It has a slope of 1.

The answer to question #2 is y = 7

If a line is perpendicular to x = some number, then it has to be y = some number.

And this perpendicular line has to go through the point (4,7). So what is the y-value of this point, since the equation starts with y? The y-value is 7. So the equation has to be y = 7

What an equivalent expression for 9(3 + 8x)

Answers

Distribute.
9(times)3 + 8x(times)9
27+72x is an equivalent expression

Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles per hour faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hour road trip? Answer in improper fraction.

Answers

First we need to know how many miles per hour they drove the first time. This would be found by division. 168/3.5=48
Then we need to add 5 miles per hour for the average.48+5= 53
Next we need to multiply 2 1/4 by the new miles per hour 53*2.25=119.25
After that we need to know how many miles they drove 119.25+168=287.25 miles.
Finally to get an improper fraction we need to change 287.25 miles to it.
We already have 1/4 for .25 so we multiply 287 by 4 and add it to the 1/4 we already have and it makes it out to be 1149/4

Hope this helps!

What is the solution to the system?-2x + y + 6z = 1
3x + 2y + 5z = 16
7x + 3y – 4z = 11

Answers

Answer:

x = 4, y = -2, z = 3

Step-by-step explanation:

\left\{\begin{array}{ccc}-2x+y+6z=1&(1)\n3x+2y+5z=16&(2)\n7x+3y-4z=11&(3)\end{array}\right\n\n(1)\n-2x+y+6z=1\qquad\text{add}\ 2x\ \text{to both sides}\ny+6z=2x+1\qquad\text{subtract}\ 6z\ \text{from both sides}\ny=2x-6z+1\n\n\text{Substitute it to (2) and (3):}\n\n\left\{\begin{array}{ccc}3x+2(2x-6z+1)+5z=16\n7x+3(2x-6z+1)-4z=11\end{array}\right\qquad\text{use the distributive property}\n\n

\left\{\begin{array}{ccc}3x+4x-12z+2+5z=16&\text{subtract 2 from both sides}\n7x+6x-18z+3-4z=11&\text{subtract 3 from both sides}\end{array}\right\n\left\{\begin{array}{ccc}7x-7z=14&\text{divide both sides by 7}\n13x-22z=8\end{array}\right\n\left\{\begin{array}{ccc}x-z=2&\text{multiply both sides by (-13)}\n13x-22z=8\end{array}\right

\underline{+\left\{\begin{array}{ccc}-13x+13z=-26\n13x-22z=8\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad-9z=-18\qquad\text{divide both sides by (-2)}\n.\qquad\qquad \boxed{z=2}\n\n\text{Put it ot the equation}\ x-z=2:\nx-2=2\qquad\text{add 2 to both sides}\n\boxed{x=4}\n\n\text{Put the values of}\ x\ \text{and}\ z\ \text{to the equation}\ y=2x-6z+1:\n\ny=2(4)-6(2)+1\ny=8-12+1\n\boxed{y=-3}

Sal made a map of his neighborhood. According to his map,Sal's house is 6 units away from the grocery store.The grocery store is 5 units away from the coffee shop.The coffee shop is 1 unit from Sal's house.How is this possible?

Answers

The coffee shop is on the path from home to the grocery store.
The coffee shop is on the way home from the grocery shop
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