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3 years ago

Help please!! 5th grade math.

Mathematics

2 answers:

sergey [27]3 years ago

6 0

Answer:

2 1/3

Step-by-step explanation:

PolarNik [594]3 years ago

3 0

mixed number is 2 1/3

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Find the value of x. Give your answer in simplest radical form.

yarga [219]

Using the pythagoras theorem for a right-angled triangle:-

x^2 = 13*2 - 9^2 = 88

x = sqrt 88 = 2 sqrt 22

8 0

3 years ago

Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it t

ella [17]

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

8 0

3 years ago

how do I solve this quadratic simultaneous equation 2y+2x=7 and x^2-4y^2=8 it has two sets of solutions and I'm solving by both

Ghella [55]

These are all the possible answers i know from experience.

2x + 2y = 7
x^2 - 4y^2 = 8

2x = -2y + 7
x = -y + 7/2

(-y + 7/2)^2 - 4y^2 = 8

y^2 - 7y + 49/4 - 4y^2 = 8

0 = 3y^2 + 7y + 8 - 49/4

0 = 12y^2 + 28y + 32 - 49

0 = 12y^2 + 28y - 17

y = (-b ± √(b^2 - 4ac))/(2a)

y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))

Dividing by 2 is like dividing by √(4):

y = (-14 ± √(7*28 + (12)(17)))/(2*6)

y = (-7 ± √(7*7 + (3)(17)))/6

y = (-7 ± 10)/6 = 1/2 or -17/6

x = -y + 7/2 = 3 or 19/3

<span>Solutions are (3,1/2) and (19/3,-17/6)</span>

3 0

3 years ago

Read 2 more answers

Which of the following is the solution to 13x>-5?

alexira [117]

Answer:

Step-by-step explanation:

Solve the inequality using inverse operations to isolate x.

13x > -5 Divide by 13 on both sides

13x/13 > -5/13

x > -5/13

5 0