A recipe calls for 5/4cups of flour for every 4 cups of water. How many cups of flour are needed for 28 cups of water?

Six people are sitting around a circular table, and each person has either blue eyes or green eyes. Let x be the number of peopl

Slav-nsk [51]

Answer:

10

Step-by-step explanation:

Given that:

Six people are sitting around a circular table

and each person has either blue or green eyes.

So; we are told to represent x as the number of people sitting next to at least one blue-eyed person

and y be the number of people sitting next to at least one green-eyed person.

The objective is to find how many possible ordered pairs (x,y) are there?

The ordered pairs (x,y) i.e ( blue , green) are : ( (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3) ).

The above proves the ordered pairs for at least as blue as green.

Now; to determine the ordered pairs for as many green as blue, we will require to go the opposite direction by reversing the values; so we can arrive at a new values of 10 possible outcomes which are as follows:

(6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)

3 0

2 years ago

Jaxon has $65 in his savings account. He deposits $15 every week. His father also deposits $25 into the account every time Jaxon

HACTEHA [7]

Part A:
<span>In the expression given, 65 + 15w + 25m: 65 = constant; 15 and 25 = coefficients; w and m = variables.</span>
Thus, to define:
Constant is a number which the value is already fixed.
Variable is the unknown value in the algebraic expression.
Coefficient is a number which is placed before a variable that indicates how many times the variable is to be multiplied.

65 + 15w + 25m
65 = 15 (1) + 25 (2)

Part B:
Let x be the savings account balance
W = # of weeks
M = frequency of mowing the lawn

First, let’s use the expression given above: 15w + 25m.
Since we are solving for a constant, only the variables and coefficient of the expression given are to be used.
Then, we substitute the variables’ corresponding values.
X = 15 (20) + 25 (3)
Therefore, the savings deposits will amount to:
X = 300 + 75 X = $375

Part C:
$75 + w + 3m
Constant will be $75.
Variables: w = no weekly deposit, m = 3
Coefficients: w = 1, m = remains at 25

This is because we need to adjust the variables and coefficients to solve for the constant.

5 0

3 years ago

In homer run derby competition there were 32 home rinse hit out of 124 hits approximately what percent of hits were home runs

RoseWind [281]

Answer:

26% of hits were home runs.

Step-by-step explanation:

In homer run derby competition there were 32 home rinse hit out of 124 hits approximately.

We need to find what percentage of hits were home runs.

$\text{Formula for percentage }=\frac{\text{Number of hit by home run}}{\text{Total number of hits}}\times 100$