What is the solution to the equation?3q + 5 = –2q + 20   A. q = 3   B. q = 5   C. q = 15   D. q = 25

The cost in dollars of 8 family passes will be $432.

What is Distributive property?

By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.

Given that;

A family pass to the amusement park costs = $54

Now,

Using the Distributive Property,

Cost of 8 family pass = 8 × 54

                                = 8 × (50 + 4)

                                = 8 × 50 + 8 × 4

                                = 400 + 32

                                = 432

Thus, The cost in dollars of 8 family passes will be $432.

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Answer:

382 - 33 =  349

382- 44 = 338

382 - 35 = 347

Step-by-step explanation:

First let's see what ungroup is.

We are given a number 382

If ungroup this number, we get 3 hundreds 8 tens and 2 ones.

This is called ungrouped.

We are asked to write the subtraction equation in which only tens is ungrouped.

So we need to use the number 382 where only tens place should be ungrouped.

Here the tens place value digit is 8, it means there are 8 tens.(8 *10 = 80)

So we need to subtract a number such that tens should be ungrouped in 382.

The number that should have one's place should be greater that 2, then only we can ungroup tens in the number 382.

We can have many such numbers, 33, 34. 35. 36. 39, 43, 44, 45 and so on.

We can use any of those numbers subtract from 382 in which only tens is ungrouped.

382 - 33 =  349

In 33, the ones place is 3  and in 382 ones place is 2. We cannot subtract 3 from 2.

So we ungroup tens, there 8 tens, we take 1 tens and brake into 10 ones.

Now we will have (10 +2 = 12 ones) from 12 ones we subtract 3 ones, so we get 9 on the ones place.

Similarly, we can write many subtraction equation using the number 382 in which only tens is ungrouped.

382- 44 = 338

382 - 35 = 347

and so on.

The box plot for the given data is plotted below with minimum value 44, maximum value 56 and median 50.

What is a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data is 56,50,47,55,50,51,55,45,55,49,45,44.

The data in order 44, 45, 45, 47, 49, 50, 50, 51, 55, 55, 55, 56.

Here, the minimum value is 44

The maximum value is 56.

Q1 is (45+47)/2 = 46

Q3 is 55

Median is 50.

Hence, the box plot for the given data is plotted below.

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