Write each rational number as a decimal. Then tell whether each decimal is a terminating or a repeating decimal. 4
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12

The solution to the equation a+5=-5a+5 is a=0.

We are given that;

The expression a+5=-5a+5

Now,

To solve the equation a+5=-5a+5, we need to isolate the variable a on one side of the equation.

We can do this by adding 5a to both sides of the equation:

a + 5 + 5a = -5a + 5 + 5a

Combining like terms gives:

6a + 5 = 5

Subtracting 5 from both sides of the equation gives:

6a = 0

Dividing both sides of the equation by 6 gives:

a = 0

Therefore, by algebra the answer will be a=0.

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Answer:

Step-by-step explanation:

C,D and E

Pairs of triangles appear to be congruent are :

" Congruent triangles are defined as the pairs of triangles with same measurement."

According to the question,

Given pairs of triangles,

A. Triangles [tex]1[/tex] and [tex]4[/tex] :

After observing triangles  [tex]1[/tex] and [tex]4[/tex]   it appears that triangle [tex]1[/tex] is smaller than triangle [tex]4[/tex] .

Option A is not the correct answer.

B. Triangles [tex]1[/tex] and [tex]3[/tex] :

After observing triangles  [tex]1[/tex] and [tex]3[/tex]   it appears that triangle [tex]1[/tex] is smaller than triangle [tex]3[/tex] .

Option B is not the correct answer.

C. Triangles [tex]2[/tex] and [tex]3[/tex] :

After observing triangles  [tex]2[/tex] and [tex]3[/tex]   it appears that triangle [tex]2[/tex] is congruent to triangle [tex]3[/tex] .

Option C is the correct answer.

D. Triangles [tex]2[/tex] and [tex]4[/tex] :

After observing triangles  [tex]2[/tex] and [tex]4[/tex]   it appears that triangle [tex]2[/tex] is congruent to triangle [tex]4[/tex] .

Option D is the correct answer.

E. Triangles [tex]3[/tex] and [tex]4[/tex] :

After observing triangles  [tex]3[/tex] and [tex]4[/tex]   it appears that triangle [tex]3[/tex] is congruent to triangle [tex]4[/tex] .

Option E is  the correct answer.

F. Triangles [tex]1[/tex] and [tex]2[/tex] :

After observing triangles  [tex]1[/tex] and [tex]2[/tex]   it appears that triangle [tex]1[/tex] is smaller than triangle [tex]2[/tex] .

Option F is not the correct answer.

Hence, Option(C), (D), and (E) are correct answer.

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Answer:

2x-3 = -11

Step-by-step explanation:

|2x-3| = 11

by definition of absolute numbers,

2x-3 = 11 (given)

or

2x-3 = -11 (answer)

Answer:25

Step-by-step explanation:Use pemdas first (2x-7y) 2-7=5 next (2x+3) 2+3=5 3•5=15 5•2=10 3•5=15 add 10+15=25

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1

2

(8x+20)=18

Simplify: (Show steps)

4x+10=18

Step 2: Subtract 10 from both sides.

4x+10−10=18−10

4x=8

Step 3: Divide both sides by 4.

4x

4

=

8

4

x=2

Answer:

x=2

Answer:

A. Translation 5 units up and 4 units to the right

Step-by-step explanation:

A translation is a point-by-point movement by a prescribed number of units up/down and/or left/right.

Point A is moved from (-3,-1) up 5 and right 4 units to A prime at (1,4)

Point B is moved from (-4,-3) up 5 and right 4 units to B prime at (0,2)

Point C is moved from (-2,-3) up 5 and right 4 units to C prime at (2,2)

Answer:

A. Translation 5 units up and 4 units to the right

Step-by-step explanation:

→ Point C moves up to [-2, 2]

Transition up: → Point B moves up to [-4, 2]

→ Point A moves up to [-3, 4]

→ Point C moves to C'[2, 2]

To the right: → Point B moves up to B'[0, 2]

→ Point A moves up to A'[1, 4]

This is a genuine statement!

I am joyous to assist you anytime.

The nature of the graph from point A to B : The graph increases, then decreases.

Given,

Graph is x -y coordinates.

Now,

Graph is concave downwards.

Coordinates of point A : (0,0)

Coordinates of point B : (6,0)

So,

The graph firstly increases from x = 0 to x = 3.

Then,

The graph decreases from x = 3 to x = 6 .

Therefore the graph increases and then decreases.

Thus option D is correct.

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Answer:

f(-1)=

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

f(2)=

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

let f(x)=f(-1)

but f(x) =3x+1

substituting it into the equation

3x+1=-1

3x=-1-1

3x=-2

dividing through by 3

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

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

f(-1) =

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

f(2)

let f( x )=f(2)

then

3x+1=2

3x=2-1

3x=1

dividing through by 3

[tex] \frac{3x}{3} = \frac{1}{3} [/tex]

[tex] x = \frac{1}{3} [/tex]

f(2)=

[tex] \frac{1}{3} [/tex]

To find ƒ(2), substitute x = 2 into the Function ƒ(x) = 3x + 1. The answer is 7.

To find ƒ(2), we need to substitute x = 2 into the function ƒ(x) = 3x + 1.

Given: ƒ(x) = 3x + 1

Step 1: Substitute x = 2 into the function:

ƒ(2) = 3(2) + 1

Step 2: Perform the calculations:

ƒ(2) = 6 + 1

Step 3: Simplify the expression:

ƒ(2) = 7

Therefore, ƒ(2) = 7.

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Answer:

[tex]\frac{175}{2x}[/tex]

Step-by-step explanation:

Jon works the same number of hours on Friday and Saturday, therefore x represents the number of hours worked on Friday and also the number of hours worked on Saturday.

So the total hours worked between Friday and Saturday is 2X

If the total for the 2X hours worked is equal to 175 $  

To know how much you earn per hour, we must divide the profit by the total hours worked.

Then we have the following expression

To know how much you earn per hour, we must divide the profit by the total hours worked.

[tex]\frac{175}{2x}[/tex]

Answer:

42 that's ur answer u just multiply all the numbers

The multiplication of 3, 7, and 2 (which are all prime numbers) equals to 42. Therefore, 42 is the number which has a prime factorization of 2, 3, and 7.

The product of 3 x 7 x 2 gives us the number for which this is the prime factorization. The prime factorization of a number is the breaking down of that number into its simplest factors that are prime numbers, in this case, it would be 2, 3, and 7. By multiplying these number together: 3 x 7 x 2, we get the number 42, hence, 42 is a number we are looking for.

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Answer:

C

Step-by-step explanation:

This curve will only have one maximum point at (-3, 2)

To find out how many books Molly read over four weeks during the summer, multiply the number of books she read in one week by four.

Molly read a few books each week during the summer. To calculate how many books she read over four weeks, we can multiply the number of books she read in one week by four.

If she read 'x' books per week, then over four weeks she would have read 4x books.

Therefore, if she read 5 books per week, Molly would have read a total of 20 books over four weeks.

Answer:

Step-by-step explanation:

Find the prime factorization of 10

10 = 2 × 5

Find the prime factorization of 24

24 = 2 × 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 3 × 5

LCM = 120

Answer:

7.24/7= 1.03

1.0 is the nearest

Answer:$1340

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1 to any power is 1, so you are basically just saying 1*1, and that equals 1

Answer:The standard deviation is about 3.6.

Step-by-step explanation:

According to the Range Rule of Thumb  : The range is about four times the standard deviation.

i.e.  [tex]R\approx4\sigma\Rightarrow\ \sigma\approx\dfrac{R}{4}[/tex]   (i)

Given , The race speeds for the top eight cars in a 200-mile race are :

185.9 179.5 189.2 176.7 175.8 188.7. 188.3 177.9

Here , minimum speed =  175.8 and maximum speed = 189.2

Range = maximum speed - minimum speed

i.e. R = 189.2-175.8 =13.4

from (i),

[tex]\sigma\approx\dfrac{13.4}{4}\\\\\Rightarrow\sigma\approx3.6[/tex]

Hence, the standard deviation is about 3.6.

Answer:

The correct answer is 2 1/36.

Answer: the answer is 48 with a remander of 0 my friend

Step-by-step explanation:

Answer:

The missing portion is + 16x + 16.

Step-by-step explanation:

In order to get [tex]f(g(x))[/tex], we put

[tex]g(x)= \dfrac{1}{2x+4}[/tex]  

into

[tex]f(x)= \dfrac{1}{x^2}[/tex],

which gives us

[tex]f(g(x))= \dfrac{1}{(g(x) )^2}[/tex]

[tex]f(g(x))= \dfrac{1}{(\dfrac{1}{2x+4} )^2}[/tex]

[tex]f(g(x))= (2x+4)^2[/tex]

we expand and get:

[tex]f(g(x))= 4x^2+16x+16[/tex].

Thus, we see that the missing portion is [tex]16x+16.[/tex]

Answer:

- 5

Step-by-step explanation:

Note that - (- 12) = + 12

Thus

- 17 - (- 12) = - 17 + 12 = - 5

It looks like Tom subtracted 12 from - 17, that is - 17 - 12 = - 29

Answer:-17-(-12)=-5

Step-by-step explanation:when there’s a negative number in parenthesis and there’s a minus outside the parenthesis that majestic the number inside the parenthesis a positive

Answer:

all work is shown and pictured

Answer:

20

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 3x² - 2 + 4x + 2 = 3x² + 4x

Substitute x = 2 into f(x) + g(x)

(f + g)(2) = 3(2)² + 4(2) = (3 × 4) + 8 = 12 + 8 = 20

Answer:

f = -15

Step-by-step explanation:

f/5 - 22 = -25 -------- add -22 to both sides to isolate 'f'

f/5 = -3 ------- multiply 5 to both sides to further isolate 'f'

f = -15

Answer:

24

Step-by-step explanation:

- (5*5) +6*5 +19

-25 + 30 + 19 = 24

Answer:

B

Step-by-step explanation:

Answer:

25200

Step-by-step explanation:

Mari has 42 coins consisting of nickels, dimes, and quarters. The total value of the coins is $9.35. The number of dimes is one less than three times the number of nickels. Mari has 17 nickels, 8 dimes, and 17 quarters.

Let's use algebraic equations to solve this problem.

Let "n" be the number of nickels, "d" be the number of dimes, and "q" be the number of quarters.

We have three pieces of information from the problem:

1. The total number of coins: n + d + q = 42

2. The total value of the coins: 0.05n + 0.10d + 0.25q = 9.35

3. The number of dimes is one less than three times the number of nickels: d = 3n - 1

Now, let's substitute the third equation into the first equation to express "d" in terms of "n":

(3n - 1) + n + q = 42

4n + q = 43

q = 43 - 4n

Next, we'll substitute the values of "q" and "d" into the second equation:

0.05n + 0.10(3n - 1) + 0.25(43 - 4n) = 9.35

0.05n + 0.30n - 0.10 + 10.75 - n = 9.35

0.35n + 10.65 = 9.35

0.35n = 9.35 - 10.65

0.35n = -1.30

n = -1.30 / 0.35

n ≈ 3.71

Since the number of coins can't be a fraction, we'll round down to the nearest whole number. Therefore, Mari has 3 nickels.

Now, let's find the number of dimes:

d = 3n - 1

d = 3(3) - 1

d = 9 - 1

d = 8

Finally, we can find the number of quarters using the equation for "q":

q = 43 - 4n

q = 43 - 4(3)

q = 43 - 12

q = 31

In conclusion, Mari has 3 nickels, 8 dimes, and 31 quarters.

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Answer:

In year 2030 the population is predicted to be 71.75 million

Step-by-step explanation:

* Lets explain how to solve the problem

- Using data from 2010 and projected to 2020, the population of

 the United Kingdom (y, in millions) can be approximated by the

 equation  10.0 y − 4.55 x = 581

- x is the number of years after 2000

- We need to know in what year the population is predicted to be

  71.75 million

* Lets substitute the value of y in the equation by 71,75

∵ The equation of the population is 10.0 y - 4.55 x = 581

∵ y = 71.75

∴ 10.0(71.75) - 4.55 x = 581

∴ 717.5 - 4.55 x = 581

- Subtract 717.5 from both sides

∴ - 4.55 x = - 136.5

- Divide both sides by - 4.55

∴ x = 30

∵ x represents the number of years after 2000

∵ 2000 + 30 = 2030

∴ In year 2030 the population is predicted to be 71.75 million

Final answer:

The population of the United Kingdom is predicted to be 71.75 million in the year 2030, calculated by substituting the given population value into the equation and solving for the year.

Explanation:

To find the year in which the population of the United Kingdom is predicted to be 71.75 million, you can use the given equation 10.0y - 4.55x = 581. Here, x is the number of years after 2000, and y is the population in millions.

First, substitute y with 71.75:

Now, add the number of years, x, to the base year, 2000:

Therefore, the population of the United Kingdom is predicted to be 71.75 million in the year 2030.