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VashaNatasha [74]
3 years ago
7

Evaluate the equation; 38 + 16 ⋅ 12 ÷ 2 - (30 ⋅ 2)

Mathematics
2 answers:
Aleks04 [339]3 years ago
8 0
The answer would be 74
Usimov [2.4K]3 years ago
3 0
Follow the rule of PEMDAS, 
38 + 16 . 12 /2  - (30 . 2)
38 + 16 . 6 - 60
38 + 96 - 60
38 + 36
74

In short, Your Answer would be 74

Hope this helps!
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Solve for substitution 8x+2y=13 and 4x+y=11
damaskus [11]
Solving for X:
1) y=-8x+6.5   y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5        (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5         (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125

Solving for Y:
y=-8(-1.125)+6.5
y=9+6.5
y=15.5

y=-4(-1.125)+11
y=4.5+11
y=15.5

x=-1.125
y=15.5
or
(-1.125,15.5)
7 0
3 years ago
Which of the following sets of numbers could represent the three sides of a triangle?
olchik [2.2K]

Answer:

i'm not sure but i think its 7,14,21

Step-by-step explanation:

7,14,21

6 0
2 years ago
240,000 written as a whole number multiplied by a power of ten
IrinaK [193]
240,000 written as a whole number multiplied by a power of ten:

In the provided number 240,000 if we want to multiply this number by a power of ten then it would be like 240,000 raised to the power of 10  
<span><span>1.       </span>In which clearly stating that 240,000 shall multiply itself by 10 times in 240,000.
</span> <span><span>2.       </span>Hence 240, 000^10 in numerical form</span> <span><span>
3.       </span>The result is 6.340338097x10^53</span> <span><span>
4.       </span>It seems like the product is a lot bigger and capsized itself to a smaller scientific reading but its still big in value because of the its current 53 power.</span>

Hope this helps!


7 0
3 years ago
Read 2 more answers
An exit poll in an election is a survey taken of voters just after they have voted. One major use of exit polls has been so that
3241004551 [841]

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

7 0
3 years ago
3/4 of 24 is 3 groups of 6, which is 18. So Han ate 18 less than Tyler, or Han at 6. So you take the 24(x) and you subtract 24 o
aksik [14]

Answer:

Step-by-step explanation:

Let the total amount ate by Tyler and Han be 24

Let the amount Tyler ate be x

Amount Han ate be y

If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;

x = 3/4of 24

x = 3/4×24

x = 3×6

x = 3(6)

x = 18

Hence the amount Tyler ate is 18

If Han ate 18 less than Tyler, the amount ate by Han will be;

Han y = 24-(3/4(24)

y = 24-{3(6)}

y = 24-18

y = 6

Hence the total Han ate is 6

8 0
3 years ago
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