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3 years ago

Twice the sum of a number and 3 is the same as 5 subtracted from the number. find the number.

1 answer:

3 0

Translating this sentence into symbols: 2(x+3) = x - 5

So 2x + 6 = x - 5 and x = -11

Check: Is 2(-11+3) = -11 -5? Is -16 = -16? YES. x =-11 is right.

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I have 3 times as much money as my brother. Our total is $24. How much does each of us have?I have 3 times as much money as my b

musickatia [10]

Answer:

Brother's money = $6

Money I have = $18

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

<em>I have 3 times as much money as my brother: </em>

Money I have = 3x

Where x is the money that my brother has:

Brother's money = x

<em>Our total is $24 </em>

So, 3x+x =24

Solving for x

3x+x=24

4x =24

x =24/4

x = 6

Replacing with the value of x.

Brother’s money = x = $6

Money i have = 3x =3(6) = $18

6 0

3 years ago

Find x.______________a0

velikii [3]

Answer:

$x=4$

Step-by-step explanation:

Before we find x, we need to set up this triangle a little more. We need to find the triangle's altitude before we can solve for x. We will use the heartbeat method to find the altitude.

Let altitude = y; solve for y:

$\frac{2}{y}=\frac{y}{6}$

$y^2=12$

$y=\sqrt{12}$

$y=2\sqrt{3}$

Now that we know the altitude, we can use the Pythagorean Theorem to find the hypotenuse (x).

$a^2+b^2=c^2$

$2^2+(2\sqrt{3})^2=c^2$

$4+12=c^2$

$c^2=16$

$c=4$

Since c and x are the same; c is just the hypotenuse in the Pythagorean Theorem.

$x=4$

4 0

3 years ago

In a recent 10-year period, the change in the number of visitors in the U.S. National parks was about -11,150,000. What was the

Trava [24]

Answer:

Mean = -1,115,000 per year.

Step-by-step explanation:

Mean = (Σx)/N

The mean is the sum of variables divided by the number of variables

Σx = sum of variable = change in number of visitors over a 10 year period = -11150000

N = number of variables = 10

Mean = (-11150000)/10

Mean = -1,115,000 per year.

Hope this Helps!!!

4 0

3 years ago

You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for

Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0

3 years ago

The average age of 6 men is 35 years and

PSYCHO15rus [73]

Answer:

39.50

42.50

Step-by-step explanation:

Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men

Average = sum of ages / total number of men

35 = sum of ages / 6

sum of ages = 35 x6 = 210

32 = sum of ages / 4

32 x 4 = sum of ages

128

210 - 128 = 82

age of the younger man = x

age of the older man = 3 + x

x + 3 + x = 82

2x + 3 = 82

2x = 82 - 3

2x = 79

x = 79/2 = 39.5

older man = 39.5 + 3 = 42.50

7 0

3 years ago