of equ
final equation is a true sta
A 4x - 3= 2x + 13

As we can see it's right angle triangle

so:

Answer:

x=77.39

Step-by-step explanation:

57.72/.74

is 77.39189 but round it to 77.39

Answer:

Step-by-step explanation:

Pat believes that [tex]\sqrt{2}+\sqrt{8}=(2)(2)^{\frac{1}{2}}[/tex]

[tex]\sqrt{2}+\sqrt{8}=\sqrt{2}+\sqrt{4\times 2}[/tex]

             [tex]=\sqrt{2}+2\sqrt{2}[/tex]

             [tex]=3\sqrt{2}[/tex]

             [tex]=3(2)^{\frac{1}{2} }[/tex]

But [tex]2(2)^{\frac{1}{2}}\neq 3(2)^{\frac{1}{2}}[/tex]

Therefore, Pat's belief is not correct.

Camilla believes that [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex]

Which is correct as we have calculated above.

Therefore, [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex] will be the correct answer.

Answer: a

Step-by-step explanation:

Answer:

1. 43, 45, and 47

2. 50, 52, and 54

3. 47 years old

4. 106 degrees

5. 66 degrees

Step-by-step explanation:

1. Let's assume that the first number in the three consecutive odd numbers is x.

We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].

Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.

2. Let's assume that the first number in the three consecutive even integers is x.

We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]

Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54

3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.

[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.

4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.

5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.

(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.

Step-by-step explanation:

12x+6(24-x)=7*24

12x+144-6x=168

12x-6x =168-144

6x=24

/6

x=4 ounces 12.00%

20 ounces 6.00%

Answer:

Half of a ton

Step-by-step explanation:

2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.

Answer:

6x²y³ I think n hope it's right

Answer:

The answer would be 1.95

Step-by-step explanation:

Answer:

negative 3

Step-by-step explanation:

Answer:

35 days

Step-by-step explanation:

Andrew brings juice for lunch every 5 days and Hannah brings juice every 7 days

Find the lowest common multiple of 5 and 7

Andrew (every 5 days) = 10, 15, 20, 25, 30, 35, 40, 45, 50

Hannah (every 7 days) = 14, 21, 28, 35, 42, 49, 56

The lowest common multiple of 5 and 7 is 35

Therefore, if Andrew and Hannah both brought juice today, it will take 35 days before they will both bring food again on the same day.

Answer:

congruent angles

Step-by-step explanation:

Answer:

it will be shrunk by a factor of 0.8

Step-by-step explanation:

i just got it right

The parent absolute value function will be contract by factor 0.8.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.

We have,

f(x) = 0.8 |x|

We know the 0.8 represent the scale factor which leads to dilation.

As, 0.8 < 1 then it means that the figure is going to be contract or smaller than original figure.

Thus, the Function will be contract by factor 0.8

Learn more about Dilation here:

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Answer:

a) Mean is 12.9

b) Standard Error

i) n = 16, Standard Error = 1

The shape of the sampling distribution means is not normal

ii) n = 49 , Standard Error = 0.5714285714

The shape of the sampling distribution means is normal

iii) n = 121, Standard Error = 0.3636363636

The shape of the sampling distribution means is normal

c)Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

Step-by-step explanation:

Central Limit Theorem states that

if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

a) 16 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√16

= 4/4

= 1

n < 30, hence, The shape of the sampling distribution means is not normal

b) 49 residents

= Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√49

= 4/7

= 0.5714285714

n > 30, hence, The shape of the sampling distribution means is normal

c) 121 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√121

= 4/11

= 0.3636363636

n > 30, hence, The shape of the sampling distribution means is normal

Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

Answer:

The answer is 3 and 5

Step-by-step explanation:

3 and 5 is 15 (correct)

10 and 25 is 250 (not correct)

30 and 60 is 1800 (not correct)

60 and 75 is 450 (not correct)

Answer:

5 and 6 or 25 and 36

Step-by-step explanation:

Answer:

3 trillion

Step-by-step explanation:

because just do the math bu bl I really dk

Answer:

The answer is Planet B

Step-by-step explanation:

Earth has one bar and Nasa said Earth tempetaure is 15°C

Answer:

The answer is 1.8.

Step-by-step explanation:

Answer:

8.5 minutes

Step-by-step explanation:

the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too

It will take 17 minutes for the two bottles to have the same amount of water.

Something calculated for one is called unit rate.

Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.

To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,

Since, it takes a minute to leak or fill half of an ounce,

Therefore, one ounce will take 2 minutes.

Therefore, 8.5 ounces will take = 8.5×2 = 17

Hence, it will take 17 minutes for the two bottles to have the same amount of water.

Learn more about unit rate, click;

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

  The sample  size for  Math SAT is  [tex]n_1 = 28[/tex]

   The  sample  size for  Verbal  SAT  is  [tex]n_2 = 25[/tex]

Generally the test statistics is mathematically represented as

 [tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]

substituting  668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for  [tex] \sigma_1^2[/tex] , 6944.827 for  [tex]\sigma_2^2[/tex]

So

     [tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]  

=>   [tex]t =  1.627[/tex]

Answer:

[tex]b=-3[/tex]

Step-by-step explanation:

We have:

[tex]25^b\cdot 125^{b+2}=125^b[/tex]

Notice that 125 is the same as 5³. So:

[tex]25^b\cdot ((5)^3)^{b+2}=((5)^3)^b[/tex]

Also, 25 is the same as 5². So:

[tex]((5)^2)^b\cdot ((5)^3)^{b+2}=((5)^3)^b[/tex]

Power of a power property:

[tex]5^{2b}\cdot 5^{3(b+2)}=5^{3b}[/tex]

Power of a product property:

[tex]5^{2b+3(b+2)}=5^{3b}[/tex]

Since they have the same base, the exponents are equal. So:

[tex]2b+3(b+2)=3b[/tex]

Solve for b. Distribute on the left:

[tex]2b+3b+6=3b[/tex]

Combine like terms on the left:

[tex]5b+6=3b[/tex]

Subtract 5b from both sides:

[tex]6=-2b[/tex]

Divide both sides by -2. So, the value of b is:

[tex]b=-3[/tex]

And we're done!

Answer:

X times 3 + 4 =22

X=6

Step-by-step explanation:

22-4=18

18/3=6

Answer: C

Step-by-step explanation:

Answer:

C. x - y = 0

Step-by-step explanation:

Step 1: find the slope (m) and y-intercept (b) of the graphed line.

Using the two points on the line (0, 0) and (2, 2),

Slope = [tex] \frac{rise}{run} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0

Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.

Substitute m = 1 and b = 0 into y = mx + b

y = 1(x) + 0

y = x

Step 3: rewrite the equation from slope-intercept form to standard form.

To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.

y = x

Subtract y from both sides

y - y = x - y

0 = x - y

x - y = 0

Answer:

The smallest number you can add to 6412 to make it a perfect square is 149. Which would make 6561, and be the square 81

Step-by-step explanation:

Answer:

1st picture: (0,4)

The lines intersect at point (0,4).

2nd picture: Graph D

2x ≥ y - 1

2x - 5y ≤ 10

Set these inequalities up in standard form.

y ≤ 2x + 1

-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2

When you divide by a negative number, you switch the inequality sign.

Now you have:

y ≤ 2x + 1

y ≥ 2/5x - 2

Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).

In this case, it is all of them.

Next, you would look at the shaded regions.

The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.

That would mean Graph B or D.

Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.

Answer:

  A) (-4, 1)

  B) graph C

Step-by-step explanation:

A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.

__

B) Look at the given inequalities. You are looking for two things:

Here, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...

  2x ≥ -1

  x ≥ -1/2

The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)

For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.

See the second attachment for what we're talking about here.

Answer:

2n+14

Step-by-step explanation:

Answer:

-8x+4

Step-by-step explanation:

Answer:

-8x+4

Step-by-step explanation: