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2 years ago

Simplify plz :3 <3 1+4(6p-9)

Mathematics

1 answer:

mixas84 [53]2 years ago

5 0

Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

$1+4(6p-9)$
$1+(4)(6p) + (4)(-9)$
$1+24p -36$

Step 2: Combine like terms.

$(24p) + (-36+1)$
$24p - 35$

Therefore, the answer is 24p - 35! I hope this helped you.

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3y - 5z = -23

leonid [27]

Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.

8 0

3 years ago

A jar contains 45 red candies and 60 black candies. Suppose a candy is selected at random. What are the odds against selecting a

uysha [10]

Answer:

3:4.

Step-by-step explanation:

To work this out we need to find the highest multiple of 45 and 60.

15 is the largest number that goes into both of them so what we are going to do now is divide both number by 15.

45 divided by 15 = 3

60 divided by 15 = 4

Therefore the odds of selecting a red candy is 3:4.

Hope that helps. x

7 0

2 years ago

You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,

babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

$EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}$

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}$

$EMI=605.11$

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

$EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}$

$EMI=203.27$

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

= $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0

2 years ago

What is Y=3x^2+6x+10 in vertex form.

Nuetrik [128]

Answer:

y=3(x+1)^2+7

Step-by-step explanation:

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2 years ago

Use the function f(x) = −16x2 + 24x + 16 to answer the questions.

Mice21 [21]

Answer:

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2 years ago

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