Eliminate the parameter.


x = 5t, y = t + 8 (2 points)

Answer:

1) 16
2) 12
4) 4
5) 0

Step-by-step explanation:

Plug in the value for x in the equation above and solve for y for all 5.

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

Answer:

16

Step-by-step explanation:

0.20 x 80 = 16

We can double check this by dividing :)

16/80 = 0.20 = 20%

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Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex]                   Rewrite

[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex]                      Factor out GCF (3)

[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex]                 Replace b with factors

[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex]                     Factor by grouping

[tex]\frac{x-3}{x+2}[/tex]                               Final answer

For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.

I hope this helps!

Answer:

8

Step-by-step explanation:

Answer:

it will be 8

Step-by-step explanation:

Delete the comma if needed

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

Explanation:

The exponent of 5 means we move the decimal 5 spots to the right.

This has us go from 7.23 to 723,000

If the exponent was negative, then we'd move that amount to the left.

Answer:

Step-by-step explanation:

rearrange the equation to the letter on the left side until you find an equation equal to one of the answers

Answer:

i) 8

ii) 9

Step-by-step explanation:

For i):

1 = million

7 = hundred thousand

8 = ten thousand place

3 = thousand

4 = hundred

2 = tens (twenty)

1 = unit (one)

For ii):

The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.

For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.

In this case, the successor of 8 is 9 because 8 + 1 = 9

Hope this makes sense. If you need further explanation, let me know.

- profparis

Answer:

i)8

ii)1783429

Step-by-step explanation:

for i, count upto ten thousand and for ii, add 1 to the number

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x+3) = x - 4

==> distribute the 2

2x + 6 = x - 4

==> add 4 to both sides

2x + 10 = x

==> subtract 2x from both sides

10 = -x

==> divide both sides by -1

x = -10

b)

4(5x - 2) = 2(9x + 3)

==> distribute the 4 and 2

20x - 8 = 18x + 6

==> add 8 to both sides

20x = 18x + 14

==> subtract 18x from both sides

2x = 14

==> divide both sides by 2

x = 7

Answer:

p=75(alternative) , t=105(sum of all sides) ,

q=105(sum of all sides) , s=105(straight angle)

r=75(sum of all sides)

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

Answer:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

Step-by-step explanation:

30: 225 = 25: X

30/225= 25/X

30×X = 225×25

30X = 5625

X = 187.5

Answer:

increase to 38 and have the unused ones in for maintenance

Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item 1:

The probability that he makes at most one sale is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]

[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]

Then:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]

[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]

Then:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]

There is a 0.0011 = 0.11% probability that he makes six sales.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

[tex]S_{n}=315[/tex]

Step-by-step explanation:

[tex]a_{1}=7\\a_{2}=9\\a_{n}=35\\[/tex]

d=9-7=2

no of terms n,

[tex]n=\frac{a_{n-a_{1}} }{d} +1[/tex]

[tex]n=\frac{{35}-{7}}{2} +1[/tex]

[tex]n=15[/tex]

sum of series,

[tex]S_{n}=\frac{n}{2} (a_{1}+a_{n})\\\\S_{n}=\frac{15}{2} (7+35})\\\\S_{n}=315[/tex]

Answer:

24.85

Step-by-step explanation:

17.75/5 = 3.55

3.55 x 7 = 24.85 :)

Have an awesome day!

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answer: FALSE

Step-by-step explanation:

V=Bh

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .

Answer:

152 inch

Step-by-step explanation:

The dimensions of tha coffee table are .

The perimeter of a rectangle is defined as , where  is the length and  is the width.

So, by given we have

If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have

The perimeter of the coffee table is 152 inches.

Answer:

Slope =6

Step-by-step explanation:

The given equation is in the form: y = mx + b

Here, m is the slope & b is y-intercept

y = 6x + 2

m = 6

Answer: $7 change remains

Step-by-step explanation: When doing rounding in word problems, in most situations you will have to round up regardless of numbers. Rounding to the nickel then means that the cents on the cash amounts must be .00 or .05 Following this pattern:

0.87 is rounded to 0.90

2.66 is rounded to 2.70

3.90 is rounded to 3.90

1.63 is rounded to 1.65

2.53 is rounded to 2.55

1.30 is rounded to 1.30

Then just add together the rounded amounts, which is $13

Simply subtract with the formula, 20-13=7

Answer:

Step-by-step explanation:

The total area of the face of the watch is 9.0 cm²

The polygon with six side is called a hexagon.

Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

height, h = apothem of the hexagon = 2 cm and

base, b = length of shorter base of trapezoid.

Area of the triangle

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Area of the hexagon

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, total area of the face of the watch is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

#SPJ3

Answer:

we can get 3/2 as the answer

Answer:

2

Step-by-step explanation:

Four years from now: h+4

Hozumi will be 2 years younger than 4 times her present age: 4h-2

h+4=4h-2

6=3h

h=2

Answer:

c = 9

Step-by-step explanation:

You're looking for a number so that when you use that number in place of x, you end up with 20.

f(x) = 3x - 7

f(c) = 3c - 7

20 = 3c - 7

Add 7

27 = 3c

Divide by 3

9 = c