MATHEMATICS MIDDLE SCHOOL

Four different sets of objects contain 4, 5, 6, and 8 objects, respectively. Howmany unique combinations can be formed by picking one object from each
set?

Answers

Answer 1

Answer:

Answer:

960

Step-by-step explanation:

We can find the number of unique combinations by

Multiplying 4*5*6*8

960

There are 960 possible choices by picking 1 from each group

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Write 36.14 in expanded form
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How do you graph the inequality 4x+3<7x-9 on a number line?

Answers

$4x+3<7x-9 \ \ | -7x \n \n4x -7x+3<7x -7x-9 \n \n-3x+3<-9\ \ |-3\n \n-3x+3-3<-9-3\n \n-3x<-12 \ \ /:(-3)$

$x> (-12)/(-3)\n \n x >4$

In the school chorus, 2/12 of the students are fourth graders. In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

1/6 students in the school chorus are in fourth grade

2/12 simplified is 1/6. Because 2 goes into 2 once, and into 12 six times.

During the weekdays, Horton uses a car to deliver pizzas. Horton uses a truck to deliver pizzas on the weekend, since the number of pizzas increases. The more pizzas Horton delivers, the more money he makes. Column A Column B 1. number of pizzas Horton delivers 2. the vehicle Horton uses 3. the amount of money Horton makes 4. the number of miles Horton drives during deliveries A. both the independent and the dependent variable B. dependent variable C. neither the independent nor the dependent variable D. independent variable

Answers

Independent variable is a variable that does not change when circumstances change.

Dependent variable is a variable that changes when circumstances change. Usually dependent on the changes that occurs in the independent variable.

1) Number of pizzas Horton delivers - D.) INDEPENDENT VARIABLE
2) The vehicle Horton Uses - A.) BOTH THE INDEPENDENT VARIABLE AND THE DEPENDENT VARIABLE
3) The amount of money Horton makes - B.) DEPENDENT VARIABLE
4) The number of miles Horton drives during deliveries. - C.) NEITHER THE INDEPENDENT NOR THE DEPENDENT VARIABLE

Yoyoyoyooyyoyoyoyyyoy I need help plz someone

Answers

Answer:

14 units, 19.8 units (3 s.f.)

Step-by-step explanation:

To find the length of each side of the square ABCD, find the length of AB.

Refer to the picture attached.

AB= AX +XB

Let's find the length AX first.

(see triangle AXY)

Applying Pythagoras' Theorem,

(AX)² + (XY)² = (AY)²

(AX)² +12²= 13² (subst. known values)

(AX)²= 169 -144 (move constant to 1 side)

(AX)²= 25 (simplify)

AX= √25 (square root both sides)

AX= 5 units

Now, let's find the length of XB.

(see triangle BXY)

Applying Pythagoras' Theorem,

(XB)² + (XY)²= (BY)²

(XB)² +12²= 15²

(XB)²= 225 -144 (bring constant to 1 side)

(XB)²= 81 (simplify)

XB= √81 (square root both sides)

XB= 9 units

= 5+9

= 14 units

Therefore, length of each side of square ABCD= 14units

To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).

Since squares have equal sides, AD= DC= 14 units

Applying Pythagoras' Theorem,

(AC)²= (AD)² +(DC)²

(AC)²= 14² +14² (subst. known values)

AC= √392 (simplify)

AC= 19.8 units (to 3 s.f.)

Need help on number 22 I really need help!!!!!!!!! If u can help on 23 that would be awesome!!!!!

Answers

22. If you add a number to a series of data, and it doesn't change the mean, that number MUST equal the mean. Try adding the mean number into it, hopefully it doesn't change the mode or median either.

23. Basically I think (can't quite read all the question!) just work out the circumference of a circle with radius 20 feet (urgh imperial), ie 2*pi*r so 40pi.

22.
mode=the number that occurs most in the set of numbers
median=if the number are in increasing order, the number in then middle
mean=average or if all the number are added together and divided by the number of numbers, you get the average, exg mean of 2,3,4=(2+3+4)/3=9/3=3

the numbers are
91,93,93,95,98,100
mode, the number that occurs most is 93
mediann, there are 6 numbers so there is no middle number
we must fix that
first find teh mean
91+93+93+95+98+100 divide by6=95
therefor the mean is 95
the easiest way to make the mean meadian and mode the same is add 2 more 95's into the order

91,93,93,95,95,95,98,100
mode=number occurs most=95
median=middle number=95
mean=91,93,93,95,95,95,98,100 added tother and divided by 9=95

the order is 91,93,93,95,95,95,98,100

23. so the circle that he can walk around, is representing the circumference of the circle
20 is the radius
circumference=2 times pi times raidus

c=2(pi)20
c=40pi
c= aprox125.664

the dog can walk 125.7 feet before returning to start

H/3=-12 solving equations by multiplying or dividing