Evaluate expressions- if A=4 and B=9 what is the value of the following expression

20/a+7•b


A.28

B.33

C.68

D.108

The value of x in the expression 15 = 3(2x + 4) - 3 is 1.

A number, a variable, or a combination of numbers and variables and operation symbols is called expression.

According to the given question.

We have an expression

[tex]15 = 3(2x+ 4) -3[/tex]

Solve the above expression for x.

Step 1: open the parentheses

[tex]15 = 3(2x + 4) -3[/tex]

⇒ [tex]15 = 6x + 12 -3[/tex]

Step 2: simplify the above expression.

[tex]15 = 6x + 9[/tex]

Step 3: subtract 9 to the both the sides

[tex]15 - 9 = 6x + 9 -9[/tex]

⇒[tex]6 = 6x[/tex]

Step 4: Divide both the sides by 4

⇒ [tex]\frac{6}{6} =\frac{6x}{6}[/tex]

⇒ [tex]x = 1[/tex]

Hence, we proved that x = 1 for the above expression.

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Answer:

Yashoda got 1800

Step-by-step explanation:

Yashoda : Ingrid

3             :   2

Ingrid got 1200

Divide this by 2

1200/2 = 600

Multiply each side by 600

Yashoda : Ingrid

3*600      :   2*600

1800       : 1200

Yashoda got 1800

Answer:

b has zero slop mark me as a brilliant

Answer:

yes both lines have a slope of 2, so they are parallel.

Step-by-step explanation:

Answer:

∠ DOC = 26°

Step-by-step explanation:

The secant- secant angle DOC is half the difference of the intercepted arcs, that is

∠ DOC = [tex]\frac{1}{2}[/tex] (AB - CD) = [tex]\frac{1}{2}[/tex] (82 - 30)° = 0.5 × 52° = 26°

Answer:

[tex]x>2[/tex]

Step-by-step explanation:

When given the following inequality;

[tex](x^2+x-3):(x^2-4)\geq1[/tex]

Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);

[tex]\frac{x^2+x-3}{x^2-4}\geq1[/tex]

Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:

[tex]\frac{x^2+x-3}{x^2-4}-1\geq0[/tex]

Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);

[tex]\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0[/tex]

Perform the operation on the other side distribute the negative sign and combine like terms;

[tex]\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0[/tex]

Factor the equation so that one can find the intervales where the inequality is true;

[tex]\frac{x+1}{(x-2)(x+2)}\geq0[/tex]

Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;

[tex]-1, 2, -2[/tex]

Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain

[tex]x\leq-2\\-2<x\leq-1\\-1\leq x<2\\x>2[/tex]

Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;

[tex]x\leq-2[/tex]   -> negative

[tex]-2<x\leq-1[/tex]   -> neagtive

[tex]-1\leq x <2[/tex]   -> neagtive

[tex]x>2[/tex]   -> positive

Therefore, the solution to the inequality is the following;

[tex]x>2[/tex]

Answer:

$342.23

Step-by-step explanation:

35/100 x $390 = $136.50

Price of couch after 35% discount

= $390 - $136.50

= $253.50

35/100 x $253.50 = $88.725

Price of couch after the 35% increase

= $253.50 + $88.725

= $342.225

= $342.23 (round off to nearest cents)

Answer:

A

Step-by-step explanation:

Answer:

h = 7.5 cm

Step-by-step explanation:

Firstly, we find the area of the triangular base

Mathematically, we have the area of a triangle as;

A = 1/2 * b * h

A = 1/2 * 5 * 8 = 20 cm^2

Mathematically, we have the formula as;

V= 1/3 * A * h

A is base area and h is height

50 = 1/3 * 20 * h

20h = 3 * 50

20h = 150

h = 150/20

h = 7.5 cm

Answer:

1 : 2

Step-by-step explanation:

π / 2π = 1/2

1 : 2

Answer:

8yr7xy9c8ze6X9yc9y8d58f99ff68g

Answer:

The surface charge density is [tex]7.8\times10^{-8} C/m^2[/tex].

Step-by-step explanation:

separation, d = 85 mm

Work, W = 6 x 10^-3 J

charge , Q = 8µC

The potential difference is given by

W = q V

[tex]V=\frac{6\times 10^{-3}}{8\times 10^{-6}}=750 V[/tex]

Let the charge on he capacitor is q.

[tex]q = CV\\\\q = \frac{\varepsilon oA}{d}\times V\\\\\frac{q}{A} = \frac{8.85\times 10^{-12}\times750}{0.085} =7.8\times10^{-8} C/m^2[/tex]

Answer:

the third one

Step-by-step explanation:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree.

the third one is the answer

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds

Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]

                                              = [tex]\frac{7\pi }{48}[/tex] radians per second

Option A is the answer.

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

Answer:

₹29,710

Step-by-step explanation:

We minus ₹ 85,789 from ₹ 1,15,499 to get ₹ 29,710

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]

[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]

[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]

[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]

[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]

[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]

[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]

[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that [tex]p = 0.18[/tex]

Samples of 250 high school juniors are taken

This means that [tex]n = 250[/tex]

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]

[tex]s = 0.024[/tex]

So 0.024 is the answer.

Answer:

55 degrees

Step-by-step explanation:

First, we can use Thales' Theorem to determine that because AC is along the circle's diameter, angle B (the angle opposite to that side) is a right angle.

Next, we know that an inscribed angle with its vertex on the circle, formed by two intersecting chords (A in this case) is equal to 1/2 of its intercepted arc, so angle A = 70/2=35

We can then use the fact that a triangle adds up to 180 degrees here to get

35+90+C=180

C=55 degrees

Answer:

P = -1

Step-by-step explanation:

-1 x 4 = -4

The solution is : p= -1, is the value of p in the equation y^2=−4x.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

Explanation:

We have been given parabola along positive side of x-axis with equation

y² = 4px

and, y² = -4x

after equating the values of  y² we will get

4px =-4x

Divide each term by x on both left hand side and right hand side  we will get

4p= -4

Now, divide each term by 4 on both left hand side and right hand side we will get the final result p=-1

Hence, The solution is : p= -1, is the value of p in the equation y^2=−4x.

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Answer:

answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1

= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms

= x² + 2x + 1 → A

Answer:

1. 60°

2. 60°

3. 30°

4. 30°

5. 30°

Step-by-step explanation:

to find angleXYZ suntract 180 from 60

angle ZWX=120°

Angle WXY=60°

The diagnals divide the inteesections in half

Answer:

Step-by-step explanation:

The standard form equation for this type of problem is

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:

[tex]y=a(1-r)^x[/tex] and filling in:

[tex]y=21000(1-.14)^3[/tex] which in simplified form is

[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

Answer: X would be 84 degrees.

Step-by-step explanation: APB is a straight angle, which adds up to 180 degrees. TPQ is  90 degrees, and QPB is 32 degrees, so 180-90-32=58. APT is 58 degrees. APT and PTR are alternate interior angles, therefore they have the same angle measure. So PTR is also 58 degrees. A quadrilateral adds up to 360 degrees, so add up the three known angles in the quadrilateral, 58+90+128, which gives you 276 degrees. 360-276=84 degrees, therefore X would be 84 degrees.

Answer:

Step-by-step explanation:

Answer:

3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65

Step-by-step explanation:

Answer:

13.01d-2.65

Step-by-step explanation:

I got it right on Khan Academy just combine like terms and you have your answer.

Answer: 111 dollars

Step-by-step explanation:

7 hours on Saturday and 4 hours on Sunday

Sunday gets paid 1 1/3, or 4/3 times more which is 9 x 4/3 = 12 per hour

Saturday is 9 per hour

7x9 (Saturday) + 4x12 (Sunday) = 111 dollars

Answer:

B yes, because it pases the vertical line test

Answer:

x=5

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2

x^2+ ( 2x+2)^2 = (2x+3)^2

FOIL the squared terms

x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9

Combine like terms

5x^2+8x +4 = 4x^2 +12x +9

Subtract  4x^2 +12x +9 from each side

5x^2+8x +4  -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9

x^2 -4x -5 =0

Factor

(x-5) (x+1) = 0

Using the zero product property

x=5   x=-1

But x cannot be negative or we would have negative length

x=5