I need to put the words in place

Needs to be in fraction form and simplified 3 4/5 + 4 5/6 =? 10 points

LenaWriter [7]

Answer:

259/30 or 8 19/30 depending on what format your teacher wants the answer

Step-by-step explanation:

First we can turn both mixed fractions into improper fractions and to do that we multiply the whole number by the denominator and that add that to the top number. So for 3 4/5 we would multiply 3 and 5 and than add 4 getting us to 19/5 doing the same to 4 5/6 gets us to 29/6. Now in order to add fractions we need to get a common denominator. The least common multiple of 5 and 6 is 30 so we will multiply each fraction by whatever number will give us 30 in the denomiator. for 19/5 that number is 6 so our new fraction is 114/30 and for 29/6 that number is 5 so our new number is 145/30. Now we just add the numerators and simplify. 114/30+145/30=259/30

I hope this helps and please don't hesitate to ask if there is anything still unclear!

6 0

3 years ago

WidgCo is a company that produces and sells widgets. Let p denote the price per widget (measured in dollars), and let x be the m

Alecsey [184]

Answer:

The answer to this question can be defined as follows:

i) $\bold{p(x)= -5x^2+ 217x- 1,401} \\$

ii) x=22 units

iii) Maximum profit: 953.45

Step-by-step explanation:

Given value:

p(x) = 211 − 5x \\

C(x) = 1,401 + 16x

The formula for calculating the profit function value:

$\to \bold{P(x)= xp(x) - C(x)}$

$= x(211-5x)- 1,401 + 16x\\\\= 211x -5x^2-1,401+16x\\\\= -5x^2+ 217x- 1,401 \\$

The formula for calculating the value for maximum profit:

$p'(x) = - 10x + 217 =0$

$217= 10x\\\\x= \frac{217}{10}\\\\x= 21.7$

So, the production level is 22 units

Maximum profit:

$\to p(21.7)= - 5 (21.7)^2+217 (21.7) -1,401\\\\$

$=-5 (470.89) +217 (21.7) -1,401\\\\=-2354.45+ 4708.9-1,401\\\\= 953.45$

7 0

3 years ago

30) (19, 15), (5,11) find the slope of the line through each pair points

Tema [17]

Answer:

The slope is -4/14

Hope im helpful

3 0

3 years ago

Find the volume of the solid. NO LINKS PLEASE HELP

Lerok [7]

Answer:

Use multiplication (V = l x w x h) to find the volume of a solid figure.

Step-by-step explanation:

8 0

3 years ago

Out of 180 students, 50 students play Piano, 68 play Guitar, and 59 play Flute

MaRussiya [10]

Answer:

Step-by-step explanation:

A Venn diagram depicts the logical relationships between two or more sets of elements by using alternating circles or other shapes. They're often used to visually arrange information, showing how objects are similar and different. In the fields of mathematics and statistics, Venn diagrams, also known as "set diagrams" or "logic diagrams," are commonly used.

From the given information:

Since we are to represent the given question into a Venn diagram, the diagram is being attached in the image below.

From the image below, we represent:

P =students that played Paino

G = students that played guitar

F = students that played flute

P = 50

G = 68

F = 59

(PUG) -35

(PUF) = 59

(GUF) = 40

since the value of (PUGUF) is not given, we represent it with x.

See the attached image below for diagrammatic representation of the Venn diagram.

6 0

3 years ago