34=3(y+6)-8 Please Explain.

Answer:

301.59

Step-by-step explanation:

your answer was almost right you just forgot to multiply by 9

Answer:

64π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

   = π × 8²

   = 64π units²

Answer:

What is the question

Step-by-step explanation:

Answer:

-9.6

Step-by-step explanation:

[tex]2\frac{2}{5} =2.40\\-\frac{1}{4} =-0.25[/tex]

If change them into decimals it looks like that.

Then all you have to do is use standard calculator to find the answer.

[tex]\frac{2.40 }{-0.25} =-9.6[/tex]

Answer:9 and 3/8  

Step-by-step explanation:

you have to make 2 and 2/5 into an improper fraction then make the -1/4 into a -4/1 then multiply across to make 48/5 then you have to reduce down to 8 and 8/5. but that cant happen so you reduce again and get 9 and 3/8.

Answer:

y=3x+5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Given a quadratic equation in standard form ax² + bx + c = 0 (a ≠ 0 )

Then the discriminant b² - 4ac determines the nature of the roots.

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then no real roots

Given

2x² + 8x + 3 = 0 ← in standard form

with a = 2, b = 8, c = 3 , then

b² - 4ac = 8² - (4 × 2 × 3) = 64 - 24 = 40

Since b² - 4ac > 0 then 2 real and distinct roots → a

Answer:

a

Step-by-step explanation:

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle [tex]\angle z[/tex].

We use the law of sines in the blue triangle to do such:

[tex]\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022[/tex]

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle  [tex]\angle z[/tex], and the 20 mm side is the hypotenuse:

[tex]sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm[/tex]

which rounded to the nearest integer gives

WX = 8 mm

Answer:

x = -5

y = -5

Step-by-step explanation:

-8y+9x = -5; 8y+7x = -75

Add the two equations together to eliminate y

-8y+9x = -5

8y+7x = -75

----------------------

0y + 16x = -80

Divide each side by 16

16x/16 = -80/16

x = -5

Now find y

8y+7x = -75

8y+7(-5) = -75

8y-35 = -75

Add 35 to each side

8y = -40

Divide by 8

8y/8 = -40/8

y = -5

Answer:

[tex]\boxed{x=-5}\\ \boxed{y=-5}[/tex]

Step-by-step explanation:

-8y + 9x = -5

8y + 7x = -75

Add the equations (eliminating the y-variable).

16x = -80

Divide both sides by 16.

[tex]\frac{16x}{16}[/tex] = [tex]\frac{-80}{16}[/tex]

x = -5

Plug x as -5 in the first equation to find y.

-8y + 9(-5) = -5

-8y +-45 = -5

Add 40 to both sides.

-8y = 40

Divide both sides by -8.

[tex]\frac{-8y}{-8}[/tex] = [tex]\frac{40}{-8}[/tex]

y = -5

You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.

Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.

Respectively the solution for this second figure is 5 sections as well.

Answer:

4. 16.5

Step-by-step explanation:

You solve for the hypotenuse

a^2+b^2=c^2

16^2+4^2=c^2

256+16= the square root of 272

16.5

Answer:

219

Step-by-step explanation:

do total minus base fee which is

218.28-18.99=199.29

and than

199.29(which is money paid on miles) divided by 91. which is 219

Answer: x=5

Step-by-step explanation:

[tex]\frac{2}{14} =\frac{x}{35}[/tex]

[tex]\frac{x}{35}=\frac{2}{14}[/tex]

simplify

[tex]\frac{x}{35}=\frac{1}{7}[/tex]

multiply 35 on both sides

[tex]\frac{35x}{35}=\frac{1\cdot \:35}{7}[/tex]

[tex]\frac{1}{7} \cdot 35=5[/tex]

x=5

Answer: C) 144

Step-by-step explanation:

The area of a pyramid can be found via lwh/3

(9*8*6)/3 = area

72*6/3 = area

432/3 = area

144 = area

Hope it helps <3

Answer:

The highest possible value of b would be 750.

Step-by-step explanation:

If you graph the two equations, you'll get two crossing lines, and because y is supposed to be either equal to or less, the answer is going to be at the shaded area at the bottom.

Equate the two equations to solve them with algebra.

-15x+3000=5x

add 15x to both sides

3000=20x

divide by twenty, you get

150=x

Plug that in to both equations, you'll get y=750, which is the highest possible value of b, (aka y cuz it's on the y axis).

Answer:

a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n

b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n

c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n

Step-by-step explanation:

They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.

The general formula is

T(n) = T(0)+n*D

where

n = the term number

T(n) = nth term (considering the first term to be the zeroth term.

D = common difference

a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n

b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n

c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n

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

Work Shown:

T = tens digit

U = units digit (aka ones digit)

A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).

-----------------------

Let T be larger than U. This doesn't work if T = U.

Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.

-----------------------

If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.

So,

new number = (5/6)*(old number)

10U + T = (5/6)(10T + U)

6(10U + T) = 5(10T + U)

60U + 6T = 50T + 5U

60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1

60U + 6U + 6 = 50U + 50 + 5U

66U + 6 = 55U + 50

66U - 55U = 50-6

11U = 44

U = 44/11

U = 4 is the units digit of the original number

T = U+1

T = 4+1

T = 5 is the tens digit of the original number

The original number is therefore 10T + U = 10*5+4 = 54.

We see the difference in their digits is T-U = 5-4 = 1

The reverse of 54 is 45. The number 45 is 5/6 of 54

45 = (5/6)*54

Answer:

6 hours

Step-by-step explanation:

Denote the working time T

=> The amount of money that Kini can save after 1 working week:

A1 = 8 + 9T

=> The amount of money that Duke can save after 1 working week:

A2 = 17 + 7.5T

If Kini and Duke save the same amount of money after 1 working week, then:

A1 = A2

=> 8 + 9T = 17 + 7.5T

=> 9T - 7.5T = 17 - 8

=> 1.5T = 9

=> T = 6

=> By working 6 hours in the 1st week, Kini and Duke will save the same amount of money.

Answer:

[tex]{m}^{2} +7m + 28 = 0[/tex]

Step-by-step explanation:

Given that,

[tex]m = {x}^{2} + 3[/tex]

We know that,

[tex] {x}^{2} = m- 3[/tex]

Now look at the sum

[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ [/tex]

[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ {m}^{2} + 7 \times m- 3 + 21 = - 10 \\ {m}^{2} +7m + 18= - 10 \\ {m}^{2} + 7m + 18+ 10 = 0 \\ {m}^{2} + 7m + 28 = 0[/tex]

Answer:

x=46 degrees

Step-by-step explanation:

first find the size of the other angles(let call z and y)

the sum of a straight angle is 180:

180=130+z

z=180-130=50

y=180-96=84

sum of angles of triangle =180

x+y+z=180

50+84+x=180

x=180-134=46 degrees

Answer:

46°

Step-by-step explanation:

Angle of a line = 180°

To find the other side of 130°

The other side = 180° - 130° = 50°

To find the other side of 96°

The other side = 180° - 96° = 84°

To find x°

Total angle of a triangle = 180°

180° = x° + 50° + 84°

x° = 180° - 134°

x° = 46°

Answer: D) Front - $35.00 Back - $22.50

Step-by-step explanation:

b+12.5=f

600f+450b=31,125

Substitute

600(b+12.5)+450b=31,125

Distribute

600b+7500+450b=31,125

Combine like terms

1050b+7500=31125

Subtract 7500

1050b=23625

Divide by 1050

b=22.5

Thus, the back tickets cost $22.50.

Hope it helps <3

Answer:

Step-by-step explanation:

Selling price =  $210

percentage increase = 5 %

Increased amount = 5% of 210

                              = 0.05 * 210

                               = $ 10.5

New selling price = 210 + 10.5  = $ 220.50

Answer:

0.5333333333 or 0.53 when simplified.

Step-by-step explanation:

8/15 is simply 8÷15

15 into 8 is not possible so you annex a zero and write a decimal point.The 8 now becomes 80. We now say 80÷15,the answer is 5 because 15x5=75.The remainder is five.We annex another zero and it becomes 50,50÷15=3

I hope this helps.

Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Step-by-step explanation:

There are three measures of the center: 1) Mean   2) Median  3) Mode

Mean : Average value of the data

Mode = The most repeated value.

Median is the middlemost value in a well-ordered data.

It measures the center of the data.

Hence, the completed statement would be:

The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Answer:

First ____ is median

Second ____ is center

Step-by-step explanation:

The median is the middle value of a set of numbers, and is found in the center.

Answer:

False.

Step-by-step explanation:

If you multiply both sides by 1/2, you will get 1/4 at the right side.

So the correct way, to solve h, you have to divide both sides by 1/2.

Answer:

b.79

Step-by-step explanation:

if you look at the graph it shows its right below 80

The 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

We have a line of best fits:

y = 0.755x + 11.339

Plug x = 90

y =0.755(90) + 11.339

y = 67.95 + 11.339

y = 79.28 ≈ 79

Thus, the 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ2

Answer:For the first circle the radius is 2cm and for the second circle the radius is 3cm,by taking the ratio of their areas:

πr^2:πR^2

π cancels out and we are left with only r^2:R^2

r=2cm and R=3cm

Therefore r^2:R^2=2^2:3^2

=4:9

The answer is 4:9

Step-by-step explanation:

Answer:

Classes studied for,      Classes he did not study for       Total

Classes Passed,   23                     4                                             27

Classes Failed,       3                      2                                             5

Total,                     26,                     6                                            32

Please find attached the two way frequency table formatted on Excel spreadsheet

Step-by-step explanation:

The given information are;

The total number of classes Romain took in high school = 32

The number of classes he studied for but did not pass = 3

The total number of classes Romain passed = 27

The number of classes Romain studied for = 26

Therefore;

The number of classes Romain studied for and passed = 26 - 3 = 23

The total number of classes Romain failed = 32 - 27 = 5

The total number of classes Romain passed but did not study for = 27 - (26 - 3) = 4

The number of classes Romain did not study for and failed = 5 - 3 = 2

The total number of classes Romain did not study for =  4 + 2 = 6

Answer:

[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3x[/tex]

[tex]f(x)=y[/tex]

[tex]y=2x^2-3x[/tex]

Switch variables.

[tex]x=2y^2-3y[/tex]

Solve for y.

Multiply both sides by 8.

[tex]8x=16y^2-24y[/tex]

Add 9 on both sides.

[tex]8x+9=16y^2-24y+9[/tex]

Take the square root on both sides.

[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]

Add 3 on both sides.

[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]

Divide both sides by 4.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]

Simplify.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]

Inverse y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]

Answer:

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Step-by-step explanation:

[tex] f^{-1}(x) = 2x^2 - 3x [/tex]

Change function notation to y.

[tex] y = 2x^2 - 3x [/tex]

Switch x and y.

[tex] x = 2y^2 - 3y [/tex]

Solve for y.

[tex] 2y^2 - 3y = x [/tex]

Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.

[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]

1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.

Add 9/16 to both sides to complete the square.

[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]

Find common denominator on right side.

[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]

If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]

[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]

Simplify.

[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Back to function notation.

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Answer:

8677

Notice that all the numbers in the sequence are divisible by 3 except 8677.

The sum of the digits must be divisible by 3.

8+6+7+7= 2+8 =10

10 isn't divisible by 3.