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Rzqust [24]
3 years ago
6

Would like an answer for this question. Which represents 7(45) using the distributive property to simplify? SELECT THE TWO THAT

APPLY. 1# 7 (40 - 5) 2# 7 (4) + 7 (5) 3# 7 (40 +5) 4# 7 (40) + 7(5)
Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Answer:

7(45)=7(40)+7(5)

Step-by-step explanation:

We need to represent 7(45) using the distributive property to simplify.

We can write 45 as 40+5

So it becomes,

7(45) = 7(40+5)

Distributive property is : a(b+c)=ab+ac

a=7, b = 40 and c = 5

7(40+5)=7(40)+7(5)

So, the correct option is (4).

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jeyben [28]

Part a

we have the number

2.21\cdot10^{-6}=\frac{2.21}{10^6}=\frac{2.21}{1,000,000}=0.00000221

answer part a is

<h2>0.00000221 moles per liter</h2>

Part b

we have the number

260,000=2.6\cdot(100,000)=2.6\cdot10^5

answer Part b is

<h2> 2.6 x 10^5 pounds</h2>
8 0
1 year ago
At West College, students are randomly assigned to one of 20 dormitories and one of 6 dining rooms. Kharleen likes 6 of the dorm
Trava [24]

Answer:

\displaystyle \frac{1}{10}, assuming that the assignment of dormitories is independent from the assignment of dining rooms.

Step-by-step explanation:

Assume that each of the 20\! dormitories has equal probability of being chosen.

Probability that Kharleen is assigned to one of the 6 (out of 20) dormitories that she likes:

P(\text{dorm}) = \displaystyle \frac{6}{20}.

In this fraction, the numerator is the number of dormitories that Khareen likes, while the denominator is the number of all possible dormitories.

Similarly, assume that each of the 6 dining rooms have equal probability of being chosen.

Probability that Kharleen is assigned to one of the 2 (out of 6) dining rooms that she likes:

P(\text{dining}) = \displaystyle \frac{2}{6}.

Similarly, the numerator of this fraction is the number of dining rooms that Khareen likes. The denominator of this fraction is the number of all possible dining rooms.

Assume that the assignment of dormitories and the assignment of dining rooms (two events) are independent.

Hence, the probability of both getting a preferred dormitories (first event) and getting a preferred dining room (second event) would be the product of the probability of the two events:

\begin{aligned}& P(\text{dorm} \land \text{dining}) \\ &= P(\text{dorm}) \cdot P(\text{dining}) && (\text{by independence}) \\ &= \frac{6}{20} \times \frac{2}{6}= \frac{1}{10}\end{aligned}.

Hence, the probability that Kharleen is assigned to both a dormitory and a dining room that she likes would be \displaystyle \frac{1}{10} under these assumptions.

6 0
3 years ago
Find the slope of the line whose equation is 7x - 2y = 4. 7/2 -2 4/7
Nookie1986 [14]
To find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
5 0
3 years ago
If 4 basketball game tickets and 5 football game tickets were purchased for $61.50, and if 5 basketball game tickets and 3 footb
Zielflug [23.3K]

Answer:

$129.125

Step-by-step explanation:

Hope it helps ☺️

7 0
3 years ago
Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slice did Tiffany eat?
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