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OLga [1]
2 years ago
15

Write an equation of the line that passes through (4, 5) and is perpendicular to the line y = -4x+6.

Mathematics
1 answer:
andrey2020 [161]2 years ago
8 0
Y = -1/4x + c
5 = -1/4 x 4 + c
5 = -1 + c
c = 6
y = -1/4 + 6
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Complete the statement below to explain how this model shows that 1/6 ÷ 1/4 = 2/3.
svlad2 [7]

Answer:

The answer is 2/3 and I will show the working to prove that in the explanation

Step-by-step explanation:

\frac{1}{6} ÷ \frac{1}{4}

\frac{1}{6}×\frac{4}{1}

Answer =\frac{1}{6}×\frac{4}{1} = \frac{2}{3}

  • So basically what is happening in the above steps what I have shown is that first I am changing the division sign into multiplication and then I am reciprocating the fraction  of 1/4 into 4/1 because on the other side of it is multiplying and after doing that I am simplifying the fraction 4/6 by dividing it  by 2 and hence I got a fraction of 2/3 as the answer
5 0
3 years ago
Read 2 more answers
John Glenn High School has approximately 1000 students. A survey randomly asked 20 students if they regularly buy lunch. Of thos
lutik1710 [3]

Answer:

Here we have the table for the 8 students that said yes.

a) Out of the 8 students, 5 purchased their favorite food more than four times a month.

The proportion will be p = 5/8, and this can not be simplified anymore because 5 is a prime number and 5 is not a factor of 8.

b) The mean time will be equal to the amount of each of the 8 purchased their favourite food divided by the total sample (8)

This is:

m = (6 + 4 + 3 + 8 +6 + 9 + 4 + 7)/8 = 5.875

c) Out of a sample of 20, 8 buy lunch regularly, this is; p1 = 8/20

The amount of students that regularly buy food will be:

p1*1000 = (8/20)*1000 = 400

And of those 400, 5/8 buy their favourite lunch more than 4 times per month:

(5/8)*400 = 250

d: The mean number of times that a student regularly buys salad.

We have 3 students that regularly buy salad (so we only do the math with those 3)

The mean is (8 + 6 + 7)/3 = 7

So for the students that regularly buy salad, the mean of times that the buy salad in a month is 7 times.

5 0
3 years ago
2. Tyson multiplies 75 by 1.15. Which number might Tyson be trying to find? |A 115%of 75||| B 15% of 75||| C 11.5% of 75||| D 1.
Yanka [14]

Answer:

115% of 75 is equivalent to 75 by 1.15 = 8.625 , This two are equivalent

Step-by-step explanation:

Given as :

Tyson multiplies 75 by 1.15

I .e 75 × 1.15 = 86.25

Now A ) 115% of 75 = \frac{115}{100} × 75 = 86.25

B) 15% of 75 = \frac{15}{100}  × 75 = 11.25

C) 11.5% of 75 = \frac{11.5}{100} × 75 = 8.625

D) 1.15% of 75 = \frac{1.15}{100} × 75 = 0.8625

∵ 115% of 75 is equivalent to 75 by 1.15   ,  so Tyson try to find the option A

Answer

7 0
3 years ago
Hector keep close tabs on his bank account. His account had a balance of -$22.80. The next day, he made a deposit of $56.60. His
valentina_108 [34]
If you add 22.80 by the deposit which is 56.60 you will get 79.04
The answer is : 79.04
5 0
3 years ago
Read 2 more answers
Sam says 90 ÷ (–9) = 10. Is he correct? Use the drop–down menus to explain your answer.
SashulF [63]

Answer:

No.

Step-by-step explanation:

Sam is incorrect because if you look at the original problem, you'll see that he has missed the negative sign!

90 / 9 does equal 10, but 90 / -9 equals -10.

The only way to get a positive answer is if both the divisor and dividend are positive or if they are both negative.

Thus, the correct answer should be -10.

3 0
3 years ago
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