174 divided by 29 Show work

Choose the appropriate pattern and use it to find the product: (p4−q4)(p4+q4).

sp2606 [1]

The expression can be solved by expanding the bracket and multiplying out the terms

$(p^4-q^4)(p^4+q^4)$ $\begin{gathered} =p^4(p^4+q^4)-q^4(p^4+q^4) \\ =p^8+p^4q^4-p^4q^4-q^8 \\ =p^8-q^8 \end{gathered}$

Therefore, the expression can be simplified as;

$p^8-q^8$

Alternatively, using the theorem of difference of two squares, which is

$a^2-b^2=(a-b)(a+b)$

Hence,

$p^8-q^8=(p^4)^2-(q^4)^2$

7 0

11 months ago

A recipe calls for 2 1/5 cups of chopped tomatoes and 3 2/5 cups of diced turnips how many more cups of turnips did the recipe c

Zarrin [17]

The answer would be 1 1/5 more turnips.

6 0

2 years ago

Read 2 more answers

48 + 6m use the GCF to rewrite the expression

Mrrafil [7]

Move all terms containing m to the left all other terms to the right 48+-6m=6m+-6m
48+-6m=0

7 0

2 years ago

Suppose the average temperature for a 4‐day period in Chicago, Illinois, is ‐8Ԭ. After the next day, the 5‐day average is ‐9Ԭ. W

exis [7]

Answer:

-13

Step-by-step explanation:

Given that:

Average temperature for a period of 4 days = - 8

Average temperature for a 5 day period = - 9

Temperature on the 5th day:

(total temp for the 4 days + 5th day temperature) / 5 = - 9

Let 5th day temperature = x

Total temperature for the 4 days = 4 * - 8 = - 32

(-32 + x) / 5 = - 9

-32 + x = - 45

x = - 45 + 32

x = - 13

4 0

2 years ago

In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in

Yanka [14]

Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day = 3.2 miles
2nd day = 7.5 miles
3rd day = 9.8 miles
4th day = 11.5 miles
5th day = 2.9 miles
6th day = 3.5 miles

Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

What was the average distance of each run?

This result can be get as the sum of each run (or the total of miles she run) divided by the numbers of days she ran.

 $A=\frac{38.4}{6}=6.4mi$

Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

 $\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6$

∴ $\frac{38.4+x}{7}=6$

Isolating x:

$38.4+x=42$

∴ $x=42-38.4=3.6$

Therefore, she need to run:

$\boxed{3.6mi}$ in order to achieve the goal of 6 miles per day.

4 0

3 years ago