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Elena L [17]
2 years ago
8

What is an equivalent expression for 5(2x+y-3z)

Mathematics
2 answers:
Delicious77 [7]2 years ago
6 0
The equivalent expression is 10x+5y-15z
olga2289 [7]2 years ago
6 0

You could found a lot of equivalent expressions for this.

In math, you could change and rearrange a lot for doing that.

In this case, the easiest way is to distribute the 5 with all of the other terms in the parenthesis.

5*(2x+y-3z)=

(5*2x)+(5*y)-(5*3z)=

10x + 5y - 15z = an this is an equivalent expression

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Lisa purchased a hat for $10, a purse for $20, and a book for $23.The sales-tax rate was 7.2 percent. What was the total amount
Vlad [161]

From information given Lisa bought three items.

10 + 20 + 23 = 53 dollars ( which is total pre- tax cost)

The sales tax rate is at 7.2% . Value of this tax in dollars will be:

7.2 % of 53 →  (7.2 / 100) × 53  →  0.072 × 53 =  3.816

So the tax rate value is 3.816

Total cost of items will be 53 + 3.816 =  56. 816

Rounded off  to the nearest cent 56.816   =  56.80

Therefore Lisa paid a total of $ 56.80


 

8 0
3 years ago
In the given figure, the alternate interior angles are A: 2,1 B: 2,3 C: 2,4 D: 2,5​
Ket [755]

Answer:

The alternate interior angles are 2 and 3

So it's (B)

4 0
2 years ago
1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each ba
Pavel [41]

Answer:

Step-by-step explanation:

The relationship between the number of popcorn and drinks is linear relationshipThe responses are;(a) Please find attached the required graph created with MS Excel(b) From the graph, we have that as the number of bags of popcorn Judy buys increases, the number of drinks decreases linearlyReasons:The given parameter are;Amount Judy took with her to spend on popcorn and drinks = $30Price of each bag of popcorn = $5Price of each drink = Half the price of a bag of popcorn∴ The price of each drink = (a)  Let X represent the number of bags of popcorn Judy buys and let Y represent the number of drinks she buys, we have;5·X + 2.5·Y = 302.5·Y = 30 - 5·XWhich gives;Y = 12 - 2·XUsing the above equation, the graph of popcorn and drinks bought by Judy is plotted with MS Excel and attached here(b)  The data in the graph are presented as followsThe point corresponding to the y-intercept is the point that gives the maximum number of drinks Judy can buy if she does not buy popcorn is 12 drinks. The number of drinks she can buy reduces by 2 for each bag of popcorn she buys, such that she can buy 6 bags of popcorn and no drinks which is the x-intercept.

3 0
2 years ago
Read 2 more answers
The volume of a sphere is 2,098 pi m^3 what is the surface area of the sphere to the nearest tenth?
Karo-lina-s [1.5K]

Answer:

3139.5 m²

Step-by-step explanation:

the formula for the volume of a sphere of radius r is V = (4/3)πr³.  In this particular case, V = 2098π m³ = (4/3)πr³, and from this we can calculate the radius, r:

       2098π m³

r³ = -----------------  =  (3/4)(2098 = 1483/5

       (4/3)π

Thus r = ∛1573.5 m³ =  11.64 m

Then the surface area is A = 4πr², which in this case is

A = 4(3.14159)(11.64 m)^2 = 1702.6 m² (which is to the nearest tenth).

8 0
3 years ago
This Measure of Center gives you the average number.<br><br> Mean<br> Median<br> Mode
Darina [25.2K]
I don’t understand this but:

The mean is the average of all the numbers combined

the median is the number centered directly in the middle with the same number of numbers on both sides of the number in the middle

The mode is how many times a number appears
3 0
3 years ago
Read 2 more answers
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