Solve the equation for x. 3(x-a)+b=4x+a

Answer:

C

Step-by-step explanation:

Answer:

9.53 x 10^4

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Answer:

60 degrees

Step-by-step explanation:

s = r (theta)

(theta) = s/r

= 1 / (3/π) = π/3

as a degree π/3 x 180/π = 60

60 degrees

*Circumference = 2πr

6 = 2πr

r = 6/2π = 3/π

Answer:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

Step-by-step explanation:

Answer: B

its B because the line shows how much 5 were there and there was 2 dots

Answer:

y= -1/3x - 6

Explain:

For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be           y = -1/3x - 6.

Answer:

4 glasses, point is (32,4)

Step-by-step explanation:

Really tired but if you want an explanation, do tell me.

Answer:

X Values

∑ = 53.5

Mean = 10.7

∑(X - Mx)2 = SSx = 151.086

Y Values

∑ = 6.9

Mean = 1.38

∑(Y - My)2 = SSy = 3.788

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 23.711

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 23.711 / √((151.086)(3.788)) = 0.9911

So r= 0.9911 or 99.11%

Answer:

3.14

Step-by-step explanation:

Answer:

Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square

If the radius is (r) so the area is

A = d * d

Answer:

Step-by-step explanation:

4w⁻¹ = 4/w¹ = 4/w

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

Answer:

1/3

Step-by-step explanation:

Slope formula: y2 - y1/x2 - x1

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

→ Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

Find out more information about probability here:

https://brainly.com/question/24756209

The length of the 1 inch nail weighing 18 mg is 25.4 mm

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

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Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

Answer:

3:2

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

6 and 4 can be both divided by 2

Answer:

( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50

Step-by-step explanation:

( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50

Answer:

x = 6

Step-by-step explanation:

3x + 4 = 22

subtract 4

3x = 18

divide by 3

x = 6

Answer:

x=6

Step-by-step explanation:

Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6

Answer:

Emily ,  don't put your whole name in the questions :DDDD, it's at the top of the page, anyway,     Eloper   .. :DDD

Step-by-step explanation:

It's arithmetic  b/c  you're just adding  1

arithmetic

1

1

are the answers ,  the last one is b/c that's the common difference.

Answer:B i think if wrong im so sorry

Step-by-step explanation:

Answer:

B 75+25h

Step-by-step explanation:

$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.

Answer:

8

Step-by-step explanation:

good luck. hope this helps.

Answer:

f(x) = (x - 3)(x - 4)

Step-by-step explanation:

f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).

The roots are {3, 4}

Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5

Answer:

3a+5b

Step-by-step explanation:

Variable 1:  a = candy corn

Variable 2: b = chocolate

Inequality 1:  60 ≥ 3a + 5b

Inequality 2: 20 ≤ 3a + 5b

The inequalities are as such because Josh needs to spend no greater than $60.  He must also buy at least 20 bags of candy.  The candy corn costs $3, while the chocolate costs $5.  An expression for the total cost of the candy would be 3a + 5b.

Answer:

23,26,29,32,35,38,41,44

Step-by-step explanation:

In mathematics, WHOLE NUMBERS  are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.  Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.  

Given:

The four table of values.

To find:

The table whose linear function has slope 2.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from each table and find the slope for each table.

For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:

[tex]m=\dfrac{-1-1}{6-2}[/tex]

[tex]m=\dfrac{-2}{4}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-8}{2-0}[/tex]

[tex]m=\dfrac{-4}{2}[/tex]

[tex]m=2[/tex]

For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:

[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]

[tex]m=\dfrac{1}{-2+4}[/tex]

[tex]m=\dfrac{1}{2}[/tex]

For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-0}{0-(-2)}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

Table 4 is the only table that represents a linear function whose slope is 2.

Therefore, the correct option is 4, Table 4.

Answer:

27

Step-by-step explanation:

3x−y2​= ? if x= 7 & y= -3

Step 1 insert the numbers where they go:

3(7)-(-3)2=

Step 2 the two negatives become a positive:

3(7)+(3)2=

Step 3 multiply:

21+6=

Step 4 add:

27