Which strategies can be used to solve this problem? Rosa organized a game day at her house. She plans to have 2 groups of 5 people play charades, and 3 groups of 4 people play board games. What is the greatest number of people who could be at Rosa's game day?

Choose all answers that are correct.

A.
Draw a diagram.
Draw 2 squares and 5 circles. Then draw 3 squares and 4 circles. Add the total number of squares and circles.

B.
Use logical reasoning.
Think that finding 2 groups of 5 is the same as 2 × 5 = 10 and that 3 groups of 4 is the same as 3 × 4 = 12. Then add 10 + 12.

C.
Model the problem.
Show 2 groups of 5 chips and 3 groups of 4 chips. Then count all the chips.

D.
Translate into an equation.
2 × 3 × 4 × 5 = n

Answers

Answer 1
Answer: B and C are both correct.

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Which quadrilateral does NOT always have congruent diagonals? Why? I know it is a rhombus but i dont know why. someone please help!

Answers

the formule of rhombus is 1/2 d1,d2
since the both diagonals can be of different lenght becos  the diagonal through the base may not be equal to the diagonal of the hypotenuse,since the
rhombus is a square also

Most quadrilateral will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.

Kenya has 2 hours to make a 104 mile road trip. What rate must she average to make the trip in 2 hours?51 mph


52 mph


53 mph


54 mph

Answers

104/2 = 52
answer is 52 mph
hope it helps

What is the length of the line segment shown on this coordinate grid?First quadrant coordinate grid with a line segment connecting points (2, 6) and (8, 6).


units-----

Answers

use the x values of the 2 points and subtract the biggest number(8)and the smallest (2) and you get 6 that is how long it is 6 units long 
if you have graph paper and you graph the line you can draw a triangle then use the hypotenuse AKA the line and use Pythagorean theorm

The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if parallelogram ABCD is proven to be a rectangle?

Answers

Answer:

Option 3.

Step-by-step explanation:

A parallelogram is said to be a rectangle if

1. Opposite pair of lines are equal and parallel

2. Adjacent lines meet each other at 90 degrees.

Hence we have third option which satisfies both the conditions.

Answer:

C

Step-by-step explanation:

I just took the mastery test and got 100 for plato

Fred bought seven adult and two student tickets for $16. John paid $7 for one adult and five student tickets. Individual costs are:

Answers

Answer:

Adult ticket=$2

Student ticket=$1

Step-by-step explanation:

Let the cost of one adult ticket be $x and the cost of one student ticket be $y

Fred bought 7 adult and 2 student tickets for$16.

So,

7x+2y=16. ...(1)

And,John paid $7 for one adult and 5 student tickets.

So,

x+5y=7. ...(2)

From ...(2),

x=7-5y

Substituting the value of x in equation ...(1),

7(7-5y)+2y=16

or,49-35y+2y=16

or,33y=33

or,y=1

Now, substituting the value of y in ...(2),

x=7-5=2

Thus,the cost of one adult ticket is $2 and the cost of one student ticket is $1.

Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within which of the following ranges?A. 56 inches to 80 inches
B. 60 inches to 76 inches
C. 64 inches to 72 inches
D. 52 inches to 84 inches

Answers

If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within  ranges of; 52 inches to 84 inches.

What do you mean by standard deviation?

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that at 99.7%  the measurements would be within 2 standard deviations of the mean.

Mean of 68 inches

Standard Deviation of 4

The lower range = 68– 4(4)= 52 inches

The upper range = 68+ 4(4) = 84 inches

Thus, the option (D) 52 inches to 84 inches is correct after using the empirical Rule.

Learn more about standarddeviation :

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Hello,
\int\limits^h_0 {(1)/(2\pi) * e^{(-(x-68)^2)/(2)} dx}=0.4985
==>h=3*4=12
[68-12, 68+12] is the interval

Answer A