Substituting the equation x = 2y + 3 into the equation y= -3x - 4 will produce the equation ?​

Answer:

Volume = 288 in.³

Step-by-step explanation:

Volume of the solid = volume of the cube + volume of the square pyramid

V = a³ + ⅓*a²*h

a = 6 in.

h = 12 - 6 = 6 in.

Plug in the values into the volume formula

Volume = 6³ + ⅓*6²*6

Volume = 216 + 72

Volume = 288 in.³

Answer:

So, if we say Jiri's age is j (we can pick any letter), then Pamela's age is 2j, right?

j + 2j = 72

j is the same as 1j, but we wouldn't call you 1James, just James.

3j = 72

To isolate j, we do the opposite operation to both sides.

3j/3 = 72/3

j/j = 1, so that cancels out. 72/3 = 24.

j = 24

Jiri is 24 years old.

Answer:

Jiri is 7 years old.

explanation:

3j + j = 28

4j = 28

4j/4 = 28/4

j = 7

this can be proven:

Pamela's age: 3×7 = 21

the sum of their ages = 28

7 + 21 = 28

Answer:

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hope it helps you see the attachment for further information

Answer:

Probability[Number of 6 random sample do not have cavities] = 0.8

Step-by-step explanation:

Given:

Number of student do not have cavities = 60%

Number of random sample = 9 children

Find:

Probability[Number of 6 random sample do not have cavities]

Computation:

n = 9

p = 60% = 0.6

P(At least 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)

Probability[Number of 6 random sample do not have cavities] = 0.8

The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Sixty percent of all children in a school do not have cavities.

The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be

n = 9

p = 0.60

Then we have

[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

The sale price of the TV is $ 300.

Step-by-step explanation:

Given that a television costs $ 450, but during a special sale, it’s marked 1⁄3 off, to determine what’s the sale price of the TV the following calculation must be performed:

1/3 = 0.333

1 - 0.333 = 0.666

450 x 0.666 = X

300 = X

Therefore, the sale price of the TV is $ 300.

Answer:

{4, 4, 8, 13, 16}

Step-by-step explanation:

If we have a set of N numbers in order:

{x₁, x₂, ..., xₙ}

The median is the middle number of the set.

The mode is the value that is repeated more times in the set

The mean is computed as:

[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]

And the range is the difference between the largest value and the smallest value.

Here we want 5 positive integers, so we have something like:

{x₁, x₂, x₃, x₄, x₅}

We know that the median is 8.

Then the middle value, x₃, is equal to 8.

We also know that the mode is 4, then we can have the number 4 repeated two times, and because 4 is smaller than 8 and this must be in order, then we can have:

x₁ = x₂ = 4

Replacing these in the set we have:

{4, 4, 8, x₄, x₅}

Now we know that the range is 12, and this was the difference between the largest and smallest value.

We know that the smallest value is 4, and the largest value is x₅, then we will have:

x₅ - 4 = 12

x₅ = 12 + 4 = 16

Then our set is:

{4, 4, 8, x₄, 16}

Finally, we know that the mean is 9.

Remember that the equation for the mean is:

[tex]M = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]

Then we need to solve:

[tex]9 = \frac{4 + 4 + 8 + x_4 + 16}{5}[/tex]

[tex]9*5 = 4 + 4 + 8 + x_4 + 16}[/tex]

[tex]45 = 32 + x_4[/tex]

[tex]45 - 32 = x_4 = 13[/tex]

Then the set of five positive integers is:

{4, 4, 8, 13, 16}

Answer:

(-0.5, -1)

Step-by-step explanation:

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)

Answer:

FE = 3

Step-by-step explanation:

FE + ED = 11.

(2x - 17) + (x-2) = 11

Combine like terms, and you'll get:

3x -19 = 11

3x = 11+19 = 30

x = 10

FE = 2x - 17

= 2(10) - 17

= 20 - 17

= 3

Answer:  AREA OF H IS S= R4

Step-by-step explanation:

Answer: 70 mph

Step-by-step explanation:

Answer:

The answer is A, the CPI is 25.50, and the rate of inflation is 2%.

Step-by-step explanation:

I took the test and I know the correct answer. :)

Answer:

E) 102 and 2%

Step-by-step explanation:

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

73,63

Step-by-step explanation:

it just goes down by 2 everytime

Answer:

5/15

Step-by-step explanation:

Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)

Answer:

1/3

Step-by-step explanation:

Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.

Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.

Answer:

4670

Step-by-step explanation:

that is the workings above

If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.

We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.

[tex]A_{3}[/tex]=a+(3-1)d

8=a+2d-----1

[tex]A_{8}[/tex]=a+(8-1)d

143=a+7d---2

Subtract equation 1 from equation 2.

a+7d-a-2d=143-8

5d=135

d=27

Put the value of d in equation 1.

a+2d=8

a+2*27=8

a+54=8

a=-46

We know that,

[tex]S_{n}[/tex]=n/2[2a+(n-1)d]

=20/2[2*(-46)+(20-1)*27]

=10(-92+19*27)

=10(-92+513)

=10*421

=4210

Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

Learn more about arithmetic progression at https://brainly.com/question/6561461

#SPJ2

Answer:

[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]

[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]

[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]

[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]

Answer:

0.2

Step-by-step explanation:

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω｀*)

Answer: The answer is C. 6.9

Step-by-step explanation:

9514 1404 393

Answer:

  8. A = {Delaware, New Jersey, Pennsylvania}

  9. |B| = 3

Step-by-step explanation:

8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:

  A = {Delaware, New Jersey, Pennsylvania}

__

9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.

  |B| = 3

Answer:

1

Step-by-step explanation:

x-9=-8

x=-8+9

x=1

Answer:

x = 3.2

Step-by-step explanation:

Since they are similar the ratio of the side lengths must be the same

Using the bottom side and the unknown side from the left figure and the right figure

5            4

----- = --------

4            x

Using cross products

5x = 4*4

5x = 16

Divide by 5

x = 16/5

x =3.2

Answer:

https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate

find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).

Answer:

1979

91%

Step-by-step explanation:

Given the relation :

P = (318t + 6792) / (1.19t + 107.36)

P = % of household with PC

t = years since 2000

1.) We need to find t, when P = 85%

P = 0.85

0.85 = (318t + 6792) / (1.19t + 107.36)

0.85(1.19t + 107.36) = (318t + 6792)

1.0115t + 91.256 = 318t + 6792

Collect like terms :

1.0115t - 318t = 6792 - 91.256

−316.9885t = 6700.744

t = 6700.744 / - 316.9885

t = - 21.138760

t = - 21 years

2000 - 21 years = 1979

Percentage who had computer in 2014

t = 2014 - 2000 = 14

P = (318(14) + 6792) / (1.19(14)+ 107.36)

P = (4452 + 6792) / (16.66 + 107.36)

P = 11244 / 124.02

P = 90.6627

P = approximately 91%

Answer:

b=2A/h

Step-by-step explanation:

[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]

Answer:

b = 2A/h

Step-by-step explanation:

To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.