A consumer survey conducted in two consecutive years found that a fixed basket of goods and services cost $36.00 in year 1 and $36.75 in year 2 the inflation rate from year 1 to year 2 is

Answer:

Option A, [tex]x =[/tex] ± [tex]4.47[/tex]

Step-by-step explanation:

Step 1:  Add 20 to both sides

[tex]x^2 - 20 = 0[/tex]

[tex]x^2 - 20 + 20 = 0 + 20[/tex]

[tex]x^2 = 20[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{20}[/tex]

[tex]x =[/tex] ± [tex]4.47[/tex]

Answer:  Option A, [tex]x =[/tex] ± [tex]4.47[/tex]

Answer:

(3x+4)(2x−5)

Step-by-step explanation:

The first term is,  6x2  its coefficient is  6 .

The middle term is,  -7x  its coefficient is  -7 .

The last term, "the constant", is  -20

Step-1 : Multiply the coefficient of the first term by the constant   6 • -20 = -120

Step-2 : Find two factors of  -120  whose sum equals the coefficient of the middle term, which is   -7 .

     -120    +    1    =    -119

     -60    +    2    =    -58

     -40    +    3    =    -37

     -30    +    4    =    -26

     -24    +    5    =    -19

     -20    +    6    =    -14

     -15    +    8    =    -7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  8

                    6x2 - 15x + 8x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (2x-5)

             Add up the last 2 terms, pulling out common factors :

                   4 • (2x-5)

Step-5 : Add up the four terms of step 4 :

                   (3x+4)  •  (2x-5)

            Which is the desired factorization

Answer:

(a) $60

(b) $180

Step-by-step explanation:

Let the price of 1 table lamp be t.

Then the price of a fan is 3t.

2(3t) + 3t = 540

6t + 3t = 540

9t = 540

t = 60

A table lamp costs $60.

3($60) = $180

A fan costs $180.

Answer:

x=12 1/8

hope this helps

can i get brainliest

Answer:

Im not good at math just breath and dont psnik

Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

3/6probability of number cube lands on an even number

1/3 probability that it will land on the spinner

multiply 1/3 x 3/6 =3/18

let me know if i get it correct

The probability that on a student's turn, the number cube will land with an even number on the top face and the arrow on the spinner will stop on the blue(b) section is P = 3/18

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The probability of the number cube landing with an even number on the top face is 3/6 or 1/2 since there are three even numbers (2, 4, and 6) out of the six possible outcomes (1, 2, 3, 4, 5, and 6)

The probability of the arrow on the spinner stopping on the blue section is 1/3 since there is only one blue section out of the three possible outcomes

To find the probability of both events occurring together, we multiply the probabilities of each event:

P(even number and blue section) = P(even number) × P(blue section)

P(even number and blue section) = 1/2 × 1/3

P(even number and blue section) = 1/6

P = 3/18

Therefore, the probability that, on a student's turn, the number cube will land with an even number on the top face and the arrow on the spinner will stop on the blue section is 1/6.

Hence , the probability is P = 3/18

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Answer: x = -6

Step-by-step explanation:

     The line of x = -6 will be parallel to the y-axis because it is a vertical line, and the y-axis runs vertically.

    I have graphed the line of x = -6 so you can see it and compare it with the y-axis. See attached.

Answer:

Step-by-step explanation:

Let the number is in the form of xyz

Sum of the digits is 19

The second digit is one more than the first digit

The third digit is two more than the second digit

Substitute the values of y and z into the first equation and solve for x

Find the value of y and z

The number is 568

Answer:

---------------HeyA AtorO ----------------------

[tex] \large{ \tt{ \star \: S \: O \: L \: U \: T \: I \: O \: N : }}[/tex]

∠C = ∠A = 123° & ∠C = ∠D = x ° { suppose }

[tex] \tt{ \star \: {123 \degree + 123 \degree + x + x = 360 \degree}}[/tex]

[tex] \longrightarrow \tt \: 246 + 2x = 360[/tex]

[tex] \longrightarrow \tt \: 2x = 360 - 246[/tex]

[tex] \longrightarrow \tt 2x = 114[/tex]

[tex] \longrightarrow \tt \: x = \boxed{ \tt{57}}[/tex]

----------- HappY LearninG <3 ------------------

Answer:

C

Step-by-step explanation:

substitute the given values for j and k into the expression

[tex]\frac{2.5(6)(4)}{6}[/tex]

= [tex]\frac{2.5(24)}{6}[/tex]

= [tex]\frac{60}{6}[/tex]

= 10

Answer:

a

Step-by-step explanation:

you can see on y in which range the line goes, I hope its correct

Answer:

Step-by-step explanation:

None of them its:

-3.2 ≤ y ≤ 4.

Answer:

The daily cost is $6 because that is being multiplied by the x which represents days. The 81 represents the flat fee.

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

Rational numbers:

Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.

Irrational numbers:

These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0.                                                                                                                                          

[tex]\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \ \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}[/tex]

Thus, 2.89 is a rational number.

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

This is the standard form of the quadrartic equation. "a" is the leading coefficient and a non-zero real number.

Part A

Multiply each age with its corresponding frequency

Then add up those products

38+60+21+88+23 = 230

We divide that sum over the total frequency of 11 (since 2+3+1+4+1 = 11).

mean = 230/11 = 20.9 approximately

Nice work on getting the correct answer.

============================================================

Part B

x = age of the new player

Adding x to the sum of the products 230, and then dividing over 11+1 = 12 will get us the new mean of 22.

The 230 represents the sum of the ages of the original eleven people. The expression 230+x represents the sum of the twelve ages.

So,

(230+x)/12 = 22

230+x = 12*22

230+x = 264

x = 264-230

x = 34

Answer:

[tex]4x-y-11=0[/tex]

or

[tex]y = 4x -11[/tex]

Step-by-step explanation:

[tex] y-1= 4(x-3)[/tex]

[tex] y-1= 4x-12[/tex]

[tex] \implies -1+12= 4x-y[/tex]

[tex] \implies \red{\bold{ 4x-y-11=0}}[/tex]

or

[tex]\purple{\bold{y = 4x -11}}[/tex]

Answer:

[tex]y = 4x - 11[/tex]

Step-by-step explanation:

Parallel lines have the same slope.

[tex]1 = 4(3) + b[/tex]

[tex]1 = 12 + b[/tex]

[tex]b = - 11[/tex]

[tex]y = 4x - 11[/tex]

Answer:The fourth option

decreases by 1 minute every 2 hours trained

Step-by-step explanation:

If y is how much it decreses its negative, and if the slope is -1/2 then they decrease by one for every 2 hours since the two represents x.

Answer:

letter  po
3(-11)-6        -33-6         -39

----------   =  ----------  =  ---------- = 13
    3                3               3

7(-11)-6         -77-6         -83
----------   =  ----------  =  ---------- = 13
    3                3               6

X= 30

Y=28

Step-by-step explanation:

It's a right-angle triangle. So, 3 x 30 will give you a 90 degree angle.

180-90=90

That means the next 2 angles should add to 90.

2x28=56

56+34=90

Hope this helps!

Answer:

Infinitely many

Step-by-step explanation:

1. Subtract y from both sides:

y-y + 12 = y-y + 10 + 2

12 = 10 + 2

2. Simplify:

12 = 12

Because the left and right side are equal, then there are infinitely many solutions.

hope this helps!

Answer:

28 Inches more

Step-by-step explanation:

1 ft = 12 in

He needs 4ft

12x4=48

So he needs 48 inches

He has 20 inches

48-20=28

He needs 28 inches

Answer:

Polygon WXYZ is the same shape and size as polygon ABCD. Each side of WXYZ is double the length of ABCD. The ratio of the length of each side of WXYZ to its corresponding side of ABCD is 2. A characteristic of figures that have the same shape is that ratios of corresponding sides are equal.

Step-by-step explanation:

Answer:

Step-by-step explanation:

By balancing horizontal and vertical forces, we find the cable tensions to be ...

  Ta = W·sin(b)/sin(a+b) . . . . . where W is the weight being held

  Tb = W·sin(a)/sin(a+b)

Where Ta is the tension in the cable that makes an angle of 'a' with respect to the vertical, and Tb is the tension in the cable that makes an angle of 'b' with respect to the vertical.

__

The given angles are with respect to the ceiling, so the angles with respect to the vertical will be their compmements.

  angle 'a' is 90° -18° = 72°

  angle 'b' is 90° -72° = 18°

  a+b = 72° +18° = 90°

  Ta = (400 lb)sin(18°)/sin(90°) = 123.607 lb

  Tb = (400 lb)sin(72°)/sin(90°) = 380.423 lb

_____

Additional comment

The nice expressions for cable tension come from the balance of forces.

  vertical: Ta·cos(a) +Tb·cos(b) = W

  horizontal: Ta·sin(a) = Tb·sin(b)

Solving the horizontal equation for Ta, we get ...

  Ta = Tb·sin(b)/sin(a)

Substituting into the vertical equaiton gives ...

  Tb·sin(b)cos(a)/sin(a) +Tb·cos(b) = W

Multiplying by sin(a) gives ...

  Tb(sin(b)cos(a) +sin(a)cos(b)) = W·sin(a)

Using the trig identity for the sine of the sum of angles, we can rewrite this in the form shown above:

  Tb = W·sin(a)/sin(a+b)

The problem is symmetrical with respect to 'a' and 'b', so the other tension is found by interchanging 'a' and 'b' in the equation:

  Ta = W·sin(b)/sin(a+b)

The most appropriate chart for Mrs. Vanwhy is the one where the columns are foreign language and honor roll, no foreign language, honor roll, and total (option D).

To identify the most appropriate table for Mrs. Vanwhy we must identify what data she wants to include in the table.

Taking the above information into account, it can be inferred that the most appropriate table for Mrs. Vanwhy is option D because it includes all the data that she wants to tabulate.

Learn more about tables in: https://brainly.com/question/10670417

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Answer:

D.) The last table is the answer

Step-by-step explanation:

I finished the test.

Answer:

Option c

Step-by-step explanation:

Three terms and the degree is four

Hence Three terms,fourth Degree is your required answer

I hope it helped you

Answer:

x = 3√2

Step-by-step explanation:

This is a special triangle known as the 45-45-90 triangle. It has special rules that I will detail below:

Since we known that x = 3 plug in this value to find b and c, or the hypotenuse:

a = x = 3

b = x = 3

c = x√2 = 3√2

Answer:

x = -10

Step-by-step explanation:

the equation will be;

x - 7 = 2x + 3

- 7 - 3 = 2x - x

- 10 = 1x

x = -10

Answer:

I got 27,719.

Step-by-step explanation:

I Did the long route and multiplied 14,000 by .05 and adding that and doing that to my answer 14 times. so 14,000-14,700-15,435-16,206.75,17,017 so on and on. Tbh I would know tho