Please help with this math question

Answer:

r=-16

Step-by-step explanation:

21=6r+5-7r

1) Combine alike terms on the right side (6r and -7r):

21=-r+5

2) Subtract a 5 from both sides:

16=-r

3) Divide both sides by -1:

r=-16

Step-by-step explanation:

first combine like terms : 6r and -7r = -1r

21=5 -1r

cancellation cancel the same terms on both sides of the equation by inverse operations:

subtract 5 from both sides 21-5= 16 5-5=0

16=-1r

divide both ends of the equation by -1

16÷1 = 16 1÷ -1= 1

16=r

Answer:

The probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made is 0.7744  

Solution:

Total number of coils = number of good coils + defective coils = 88 + 12 = 100

p(getting two good coils for two selection) = p( getting 2 good coils for first selection ) [tex]\times[/tex] p(getting 2 good coils for second selection)

p(first selection) = p(second selection) = [tex]\frac{\text { number of good coils }}{\text { total number of coils }}[/tex]

Hence, p(getting 2 good coil for two selection) = [tex]\frac{88}{100} \times \frac{88}{100} =\bold{0.7744}[/tex]

Probability of selecting two good coils with replacement: [tex]\(0.88 \times 0.88 = 0.7744\)[/tex]. Correct answer is D) 0.7744.

To solve this problem, we need to calculate the probability of selecting two good coils when the first selection is replaced before the second is made. This means the selections are independent.

Here are the steps:

1. Calculate the total number of coils:

  12 defective +88 good $=100$ total

2. Determine the probability of selecting a good coil on the first draw:

  [tex]\[ P(\text{good on first draw}) = \frac{88}{100} = 0.88 \][/tex]

3. Since the first coil is replaced, the probability of selecting a good coil on the second draw is the same:

  [tex]\[ P(\text{good on second draw}) = \frac{88}{100} = 0.88 \][/tex]

4. Calculate the probability of both events (selecting two good coils):

  [tex]\[ P(\text{two good coils}) = P(\text{good on first draw}) \times P(\text{good on second draw}) \][/tex]

  [tex]\[ P(\text{two good coils}) = 0.88 \times 0.88 = 0.7744 \][/tex]

Therefore, the probability of getting two good coils when two coils are randomly selected with replacement is:

[tex]\[\boxed{0.7744}\][/tex]

So the correct answer is:

D) 0.7744

The correct question is:

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

A) 0.176

B) 0.0144

C) 0.7733

D) 0.7744

Answer:

4 miles

Step-by-step explanation:

Answer:

3/41; 1/6 40/97

Step-by-step explanation:

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.

More about the Algebra link is given below.

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Answer:

800000000000

Step-by-step explanation:

i think

Answer:

the minimum distance from earth to mars is about 54.6 million kilometers. The   farthest apart they can be is about 401 million km. the average distance is about 225 million km

Step-by-step explanation: you divide 230,000,00,00 by two and then add 1.5 + 10/11.

Answer:

D. A'(2, -5)

Step-by-step explanation:

Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate. Since it is five above the x-axis, you go five below the x-axis, or just give the OPPOSITE of 5, which is -5.

So, A' is at (2, -5).

I am delighted to assist you anytime.

When point A(2, 5) is reflected over the x-axis, its y-coordinate becomes -5 while the x-coordinate remains the same, resulting in the image point A'(2, -5).

The correct answer is option B.

When a point is reflected over the x-axis, its y-coordinate changes sign while the x-coordinate remains the same.

Let's apply this reflection to point A(2, 5):

Original point A(2, 5) has an x-coordinate of 2 and a y-coordinate of 5. When reflected over the x-axis, the x-coordinate remains 2, but the y-coordinate changes sign to -5. Therefore, the image of point A after the reflection is A'(2, -5).

So, the correct answer is:

D. A’(2, -5)

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Answer:

○ B) 624π mm.²

Step-by-step explanation:

[tex]\pi r(r + \sqrt{ {r}^{2} + {h}^{2}}) = S. A. \\ \\ \pi (12)(12 + \sqrt{{12}^{2} + {40}^{2}}) \\ \\ 12\pi(12 + \sqrt{1744}) = 12\pi(12 + 38) = 12\pi(50) = 600\pi \\ \\ 600\pi ≈ 624\pi[/tex]

I am joyous to assist you anytime.

Answer:

The amount invested at 3–yr CD was $3,600 and the amount invested at 6–month CD was $2,600

Step-by-step explanation:

Let

x -----> the amount invested at 3–yr CD

x-$1,000 ----> the amount invested at 6–month CD

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

3–yr CD

[tex]t=3\ years\\P=x\\r=0.038[/tex]

substitute in the formula above

[tex]I1=x(0.038*3)[/tex]

[tex]I1=0.114x[/tex]

6–month CD

[tex]t=6/12=0.5\ years\\P=x-1,000\\r=0.02[/tex]

substitute in the formula above

[tex]I2=(1,000-x)(0.02*0.5)[/tex]

[tex]I2=10-0.01x[/tex]

Remember that

the total amount of interest from these investments was $424.00

so

[tex]I1+I2=424[/tex]

substitute and solve for x

[tex]0.114x+10+0.01x=424[/tex]

[tex]0.115x=414[/tex]

[tex]x=\$3,600[/tex]

[tex]x-\$1,000=\$2,600[/tex]

therefore

The amount invested at 3–yr CD was $3,600 and the amount invested at 6–month CD was $2,600

Debits are represented using negative integers, while credits are represented using positive integers.

In the context of accounting, debits are expressed as negative integers, and credits are denoted with positive integers. This numerical representation helps maintain consistency in recording financial transactions.

Debits indicate the reduction of an account balance, while credits signify an increase. This system ensures accurate bookkeeping and financial reporting.

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Answer:

The 30th term is 83

Step-by-step explanation:

we know that

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant called the common difference d

in this problem

[tex]a_1=-4\\a_2=-1\\a_3=2\\a_4=5\\a_5=8[/tex]

so

[tex]a_2-a_1=-1-(-4)=3\\a_3-a_2=-2-(-1)=3\\a_4-a_3=-5-2=3\\a_5-a_4=-8-5=3[/tex]

The common difference d is 3

We can write an Arithmetic Sequence as a rule:

[tex]a_n=a_1+d(n-1)[/tex]

Find out the 30th term

we have

[tex]n=30\\d=3\\a_1=-4[/tex]

substitute

[tex]a_n=-4+(3)(30-1)[/tex]

[tex]a_n=-4+(3)(29)[/tex]

[tex]a_n=83[/tex]

Final answer:

The 30th term of the linear sequence is 83, found using the formula for the nth term of a linear sequence an = a1 + (n - 1)d, with a common difference of 3.

Explanation:

To find the 30th term of the linear sequence given by -4, -1, 2, 5, 8,..., first identify the common difference between consecutive terms. In this sequence, each term increases by 3. So, the common difference (d) is 3.

To find the nth term of a linear sequence, use the formula:
an = a1 + (n - 1)d, where
an is the nth term,
a1 is the first term, and
d is the common difference.

For our sequence:
a1 = -4 (the first term),
d = 3,
n = 30 (since we are finding the 30th term).

Plugging into the formula gives:
a30 = -4 + (30 - 1) × 3
a30 = -4 + 29 × 3
a30 = -4 + 87
a30 = 83

Therefore, the 30th term of the sequence is 83.

Answer:

135

Step-by-step explanation:

Answer: if theres 1080 degrees in a octagon and 8 sides. Id suppose that a regular angle in the octagon would all equal the same weighting it to 1080/8=135 degrees. Correct me if im wrong.

Answer:

135°

Step-by-step explanation:

the eights angles is 1080 degrees and there are eughts angles so yhe mesure of yhe interior amgle of a regular octagon is 135 degrees

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: False, there are 12 possible combinations.

Step-by-step explanation:

Each pair of pants matches to each shirt.  

She has 3 pairs of pants (1, 2, & 3) and 4 shirts (A, B, C, & D).

Here are all of the combinations:

           1A       1B       1C         1D

          2A      2B       2C        2D

          3A      3B       3C        3D

There are 3 pants × 4 shirts = 12 different combinations

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.

The relation given yields the following points:

(6, -1), (-1, -2), (4,3), (0,3)

Because every x-value is mapped exactly to one y-value, this relation is a function.

However, because y has two repeated values of 3, it is not one-to-one.

Yes, a function.

Answer:

There are 13 miles between the opera house and Bryan's home.

Step-by-step explanation:

The equation [tex]2.50x+3=35.5[/tex] can be used to find the distance in miles (x) between the opera house and Bryan's home.

We will solve this to get the value of x.

[tex]2.50x+3=35.5[/tex]

=> [tex]2.50x=35.5-3[/tex]

=> [tex]2.50x=32.50[/tex]

we get x = 13

Hence, there are 13 miles between the opera house and Bryan's home.

Answer:

[tex]\frac{\sqrt[5]{810x^3}}{3x}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]

We have to simplify the given expression.

[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]

Multiply numerator and denominator by  [tex]81x^2[/tex]

[tex]\sqrt[5]{\frac{10\cdot 81x^3}{243x^5}}[/tex]

After multiplying ,then we get

[tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

[tex]\frac{\sqrt[5]{810x^3}}{3x}[/tex]

Hence, option d is true.

Answer:[tex]\frac{\sqrt[5]{810x^3}}{3x}[/tex]

Answer:it’s D. On edge

Step-by-step explanation:

Answer:

answer is 14t as 4t +10t =14t

Answer:

2x-4 is the answer if you multiply 2x-4 by 4x-3 you get 8x squared minus 10x -12

Step-by-step explanation:

Answer:

g= - 4/11 in 3+g=1/4

Step-by-step explanation:

Use the site that I will comment . But it won't show you the step to the answer if you each month. I can't submit the answer with the site's name.

Answer:

What is the circumference of a circle with a radius of 9.2 inches?

Use 3.14 for pi.

Enter your answer as a decimal in the box.

57.776 in.

Answer:

atomic number (Z)

thats how they are organized in the periodic table

Answer:

The number of protons in an atom is equal to its atomic number

Step-by-step explanation:

Answer:the answer is 36.13 because it is greater than 33.61

Step-by-step explanation:

Answer:

9. This is because you have to add 13 to -4, which gives you positive 9. Hope this helped!

Step-by-step explanation:

Let's start by defining our term:

How much she had at the beginning = B

Now let's edit that value like the problem says

B - B/4 - B/8 = 40

Let's multiply everything by 8 to get rid of any denominators

8B - 2B - B = 320

5B = 320

B = 64

Answer:

Rachel had $64 at the beginning.

Answer:

Step-by-step explanation:

Domain is your x values. So it's your input and independent variable.

Range is your y values. So it's your output and dependent variable.

Answer:

width= 0.5 per side, 1 in total; length= 8.5 per side, 17 in total

Step-by-step explanation:

because 8.5*2=17, then 8.5-8=0.5. so then 0.5*2=1 and 17+1=18. I CAN EXPLAIN FURTHER

Answer:

12.700

or 12.7

or 12.70