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Answer: Bea's uncle is 25 years old.

Step-by-step explanation:

Given the equation [tex]3x- 15= 60[/tex], we can say that the variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":

We must add 15 to both sides of the equation:

[tex]3x- 15+(15)= 60+(15)\\3x=75[/tex]

Now we need to divide both sides of the equation by 3:

[tex]\frac{3x}{3}=\frac{75}{3}\\\\x=25[/tex]

Therefore, we can conclude that Bea's uncle is 25 years old.

The equation would be: [tex]V(r)=2\pi r \cdot 18[/tex]

Volume V is represented as a function of radius r. Height of a cylinder h is multiplied by the circumference of the cylinder 2πr to result in volume.

Answer:

18pir^2

Step-by-step explanation:

Answer:

It is 2.91547 You could round if you want.

Step-by-step explanation:

Answer: 2.61

Step-by-step explanation:

Given data (x) :  7,5,10,11,12

Mean of the data : [tex]\overline{x}=9[/tex]

Number of data values : n= 5

Now, [tex]\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2[/tex]

i.e. [tex]\sum (x-\overline{x})^2=34[/tex]

Now, the standard deviation for this data is given by :-

[tex]\sigma=\sqrt{\dfrac{\sum  (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{\dfrac{34}{5}}=2.60768096208\approx2.61[/tex]

Answer:

[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]

Step-by-step explanation:

[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]

Answer:

b  x = 5/p

Step-by-step explanation:

px+12=17

Subtract 12 from each side

px+12-12=17-12

px = 5

Divide by p

px/p = 5/p

x = 5/p

Answer:

Ruben needs a new job

Step-by-step explanation:

Answer:

if you are multiplying it would be 99

Step-by-step explanation:

multiply 11x3 then musliply that by three

Answer:

if you are multiplying it would be 99

Step-by-step explanation:

multiply 11x3 then musliply that by three

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

If the square root of a number is 6, then the number must be 36 (6*6=36)

However, negatives*negatives also equal positives, so

-6*-6 also =36

hence, your answer should be -6

Final answer:

The other square root of a number whose one square root is 6 is -6, because both 6 and -6 squared give the positive number 36.

Explanation:

The question you're asking pertains to finding square roots of a number. Given that one square root of a number is 6, the other square root would also be 6, but with an opposite sign, so it's -6. This is because when either 6 or -6 is squared (multiplied by itself), the result is 36. So, the number you're looking for is 36, and it has two square roots: 6 and -6. This is because the equation x² = √x holds true for both positive and negative values of x that yield the same positive result when squared.

To find the other square root of the number, we need to consider the fact that a positive number has two square roots - one positive and one negative.

Since the given square root is positive and equal to 6, the other square root would be its negative counterpart, which is -6.

Answer:

The measure of angle BCD is [tex]68.5\°[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line

substitute the values

[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]

[tex](16x-24)\°=180\°[/tex]

[tex]16x=180\°+24\°[/tex]

[tex]16x=204\°[/tex]

[tex]x=12.75\°[/tex]

step 2

Find the measure of angle BCD

[tex]m<BCD=(6x-8)[/tex]

substitute the value of x

[tex]m<BCD=6(12.75)-8=68.5\°[/tex]

Answer:

Step-by-step explanation:

great job!

[tex]\ln x[/tex] has a domain of [tex]x>0[/tex], so [tex]\ln\left(12-\dfrac{4x}5\right)[/tex] has a domain of

[tex]12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15[/tex]

Answer:

The domain of the function is  [tex]x<3[/tex]                                

Step-by-step explanation:

Given : Function [tex]y=\ln (\frac{12-4x}{5})[/tex]

To find : What is the domain of the function ?

Solution :

Domain is defined as the set of possible values which define the function.

We know that, log negative is not defined.

So, we will get the inequality  in the function.

[tex]\ln (\frac{12-4x}{5})>0[/tex]

[tex]\frac{12-4x}{5}>0[/tex]

[tex]12-4x>0[/tex]

[tex]-4x>-12[/tex]

[tex]x<3[/tex]

Therefore, The domain of the function is  [tex]x<3[/tex]

-0.75-(-2/5)+0.4+(-3/4) =  -0.7 simplified, how I got this answer can be found below in 16 steps.

1 - First thing we want to do is remove the parentheses.

-0.75 - (-2/5) + 0.4 - 3/4

2 - Then we simplify, multiply -1 by -1.

-0.75 + 1 (2/5) + 0.4 - 3/4

3 - Then multiply 2/5 by 1.

-0.75 + 2/5 + 0.4 - 3/4

4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.

-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4

5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.

-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4

6 - Then we multiply 5 by 1.

-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4

7 - Then we combine the numerators over the common denominator.

-0.75*5+2/5+0.4-3/4

8 - We multiply -0.75 by 5.

-3.75 + 2/5 + 0.4 - 3/4

9 - Then we add -3.75 and 2.

-1.75/5+0.4-3/4

10 - And then we divide -1.75 by 5.

-0.35 + 0.4 - 3/4

11 - Then add -0.35 and 0.4.

0.05 - 3/4

12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.

0.05/1 * 4/4 - 3/4

13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.

0.05 * 4/4 - 3/4

14 - We combine the numerators over the common denominator.

0.05 * 4 - 3 / 4

15 - We simplify.

-2.8 / 4

16 - Then we divide -2.8 / 4

The final answer is -0.7

The average of [tex]3a[/tex] and [tex]2b[/tex] satisfies

[tex]\dfrac{3a+4b}2<50[/tex]

Then

[tex]a=2b\implies\dfrac{3(2b)+4b}2=5b<50\implies b<10[/tex]

[tex]a=2b[/tex], so if [tex]a[/tex] must be an integer, then the largest integer value it can take on is 19 if [tex]b[/tex] can be a rational number (in which case [tex]b=9.5[/tex]) or 18 if [tex]b[/tex] must also be an integer.

Given that none of the provided answer choices lists 18 or 19, I'd bet there's a typo and you're supposed to find the maximum integer value of [tex]b[/tex], in which case the answer would be B as the largest integer value would be 9.

My work is shown up above.

I think this is the answer.

We can use the points (-2, 3) and (0, 4) to solve.

Slope formula: y2-y1/x2-x1

= 4-3/0-(-2)

= 1/2 (Answer)

Hope This Helped! Good Luck!

Answer:

6/5

Step-by-step explanation:

120% turns into 120/100 and from there you simply

To convert 120% to a fraction in its simplest form, write it as 120/100 and then simplify the fraction by dividing both the numerator and the denominator by their greatest common factor, which is 20. This results in 6/5.

To express 120% as a fraction in simplest form, you first write the value of the percent as a fraction with a denominator of 100. This is essentially how you convert percentages into fractions. This means that 120% becomes 120/100.

Next, you need to simplify this fraction. To simplify a fraction, you find the greatest common factor of both the numerator and the denominator and then divide each by that number. In this case, the greatest common factor is 20, so you divide both 120 and 100 by 20.

Doing so, the fraction becomes 6/5. Therefore, 120% can be expressed as the fraction 6/5 in simplest form.

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Answer:

C. (5,-2)

Step-by-step explanation:

3x+7y=1

substitute x-7 for y

3x+7(x-7)=1

3x+7x-49=1

10x-49=1

10x= 50

x=5

now substitute x=5 in the other equation

y=5-7

y=-2

Answer:

a. y = x + 3

Step-by-step explanation:

All three ordered pairs satisfy the first equation.

___

If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...

(-1, 2), (0, 3), (1, 4)

That is, the y-values increase (by 1) as the x-values increase (by 1).

All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.

Answer:

A. Y=X+3

Step-by-step explanation:

Answer:

1288

Step-by-step explanation:

Triangles on the top have surface area 15*14/2 there are four of them so multiply by four to get 420.

The rectangular sections all have area 12*14 except for the base. There are four of these equal sections, so the combined area is 672.

Lastly, the base has area 14*14, which is 196.

Summing all of these we get 1288

Answer:

A. (4, 7)

Step-by-step explanation:

y = 2x - 1

y = x + 3

y = x + 3

2x - 1 = x + 3

2x = x + 4

x = 4

y = 2x - 1

y = 2(4) - 1

y = 8 - 1

y = 7

i hope this helps !!

Final answer:

The scale factor of all radii of circle Y to all radii of circle Z is 0.4.

Explanation:

To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.

Circle Y:
Center: (2,3)
Radius: 4

Circle Z:
Center: (2,-3)
Radius: 10

The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.

Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.

Answer:

the answer is 4. 4*4 is 16 16*4 is 64

Step-by-step explanation:

Answer: 7 square units

Answer: 7

Step-by-step explanation:

Answer:

y is greater then -5

but less then 3

letter answer

H

Answer:

(-5, 3)

Step-by-step explanation:

The smallest value y can have is just above -5 and the largest is just below 3.  Thus, the range of this function is (-5, 3).  This does not include -5 or 3.

Answer:

z= 31

Step-by-step explanation:

GF=DE so.......   z+31=2z

                          -z       -z

                            31 = z

Answer:

a(3x-8)=0

a=0 and b=8/3

Step-by-step explanation:

This second line is not necessarily true. We could have a=0 OR x=8/3. They don't both have to be 0.

Answer:

y + 1 - 5(x - 2)

Step-by-step explanation:

Borrow (2, -1):  Substitute 2 for x and -1 for y, and -5 for m in  y = mx + b:

-1 = -5(2) + b.  Then b = 9, and the desired equation in point-slope form is:

y - (-1) = -5(x - 2), or

y + 1 - 5(x - 2)

The point-slope form of a line with slope -5 that contains the point

(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y₁) = m(x - x₁)

where, (x, y) is a random point on the line and m is the slope of the line.

Given that, a line with slope -5 that contains the point (2, -1).

Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get

(y-(-1))=-5(x-2)

y+1=-5(x-2)

y+1=-5x+10

5x+y-9=0

Therefore, option B is the correct answer.

To learn more about the point slope form visit:

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Answer:

[tex]\large\boxed{x=\dfrac{15-\sqrt{221}}{2}\ or\ x=\dfrac{15+\sqrt{221}}{2}}[/tex]

Step-by-step explanation:

[tex]f(x)=5x\\\\g(x)=x^2-10x+1\\\\f(x)=g(x)\to5x=x^2-10x+1\qquad\text{subtract 5x from both sides}\\\\x^2-15x+1=0\\\\\text{Use the quadratic formula}:\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=-15,\ c=1\\\\b^2-4ac=(-15)^2-4(1)(1)=225-4=221\\\\x=\dfrac{-(-15)\pm\sqrt{221}}{2(1)}=\dfrac{15\pm\sqrt{221}}{2}[/tex]

Answer:

The base is [tex]11\ in[/tex]  and the height is [tex]14\ in[/tex]

Step-by-step explanation:

we know that

The area of the triangle is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

where

b is the base of triangle

h is the height of triangle

In this problem

[tex]b=h-3[/tex] ----> equation A

[tex]A=77\ in^{2}[/tex]

so

[tex]77=\frac{1}{2}(b)(h)[/tex]

[tex]154=(b)(h)[/tex] -----> equation B

Substitute equation A in equation B

[tex]154=(h-3)(h)[/tex]

[tex]h^{2}-3h-154=0[/tex]

Solve the quadratic equation by graphing

The solution is [tex]h=14\ in[/tex]

see the attached figure

Find the base b

[tex]b=14-3=11\ in[/tex]

For triangles, the formula to find area is base*height/2. So just plug the numbers in to get 11.5*6.7/2=38.525 meters squared.

For a rhombus, the area formula is just base*height, resulting in 4.75*9.2=43.7 meters squared

Answer:

D. Exponential Growth.

Step-by-step explanation:

Suppose the equation is  y = 10^x   which is an exponential function.

When  x = 1 , y = 10, when x = 2, y = 10^2 = 100, when x = 3, y = 10^3 = 1000 which is 10 times more powerful for each unit increase of x.

The answer is Exponential growth.

Answer:

540 degrees.

Step-by-step explanation:

The formula for the sum of the interior angles is

S(n) = 180(n - 2)  where n = the number of sides.

For a pentagon, with 5 sides it is 180(5 - 2)

= 3*180

= 540 degrees.

Answer:

I think the answer is 540?

Step-by-step explanation: