Match the properties with the steps to solving the following equation. 1/2(8x-6) = x+9

Answer:

(x-3) (x-7)

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  +21  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21  

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   -10 .

     -21    +    -1    =    -22  

     -7    +    -3    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  -3  

                    x2 - 7x - 3x - 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-7)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-7)

Step-5 : Add up the four terms of step 4 :

                   (x-3)  •  (x-7)

            Which is the desired factorization

Answer:

150

Step-by-step explanation:

add 79+ 71 because you rounded to get that number then add :)

150

When estimating you just round off the numbers so, 78.9 becomes 79 and 71.2 becomes 71 so, 79 + 71 = 150.

Answer:

20 caramel apples are covered with sprinkles

Step-by-step explanation:

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.

Let the Total fraction of caramel apples = 1

1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles

Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )

LCM of denominator = 30

= 1 - (6 + 10 + 9/30)

= 1 - 25/30

= 5/30

= 1/6

How many caramel apples are covered with sprinkles

This is calculated as :

Fraction of caramel apples covered in sprinkles × Total number of caramel apples

= 1/6 × 120

= 20 caramel apples covered in sprinkles.

Answer:

If ABC is isosceles, then <C is 35, and <A should be 110.

Step-by-step explanation:

Answer:

[tex]y=-4x+6[/tex]

Step-by-step explanation:

If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.

[tex]2=-4(1)+6[/tex]

[tex]2=-4+6[/tex]

[tex]2=2[/tex]

If it works you have your answer!

The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is

y = -4x + 6.

The slope of y = -4x - 6 is -4.

passing through the point (1, 2)

the new line is parallel to the original line, it will have the same slope (-4).

Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.

substituting values,

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

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Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Answer:

Rs. 52[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given parameters:

Amount spent on buying a food = Rs. 25.75

Amount spend on buying pen  = Rs. 10.25

Amount given out to friend = Rs. 16.5

Unknown:

The total money he initially had = ?

Solution:

The total money he initially had :

       = amount spent on food + amount spent on pen + amount given to friend

      = Rs. 25.75  + Rs. 10.25  +  Rs. 16.5

       = Rs. 52.5 or  Rs. 52[tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

5x-(0)=30

add 0 to both sides to cancel

5x=30

divide by 5 on both sides to cancel

x=6

Given : 56 men can do a work in 42 days .

To Find : In how many men will do the same work in 14 days .

Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .

If in 42 days 56 men can do the work ,

Then in 1 day 42 × 56 men can do the work .

Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .

Hence 168 men will do the work in 14 days .

[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]

Answer:

5/12

Step-by-step explanation:

All of the other answers share at least one factor they can be divided by (the numerator in all cases). 5/12 however shares no factors and cannot be simplified anymore.

Answer:

x=3

Step-by-step explanation:

A line with an undefined slope is a vertical line where for each and every value of  y ;  x  has the same value.

In this problem the  x  value is  3

Therefore the equation for the line is:  

x = 3

the answer is quadrant 3

Answer:

Its in quadrant 3

Step-by-step explanation:

Since they are both negative they go into the third quadrant

Answer:

B

Step-by-step explanation:

Can i plz have brainliest :)

the answer to your question is 4

Answer:

yeah it is 4 i got it right

Step-by-step explanation:

Answer:

10 days: ofc there is an easier way to do this but i did my own way down below :)

Step-by-step explanation:

in 1 day

cowboys: 300+25 is 325

saints: 700-15=685

in 2 days:

cowboys: 325+25 is 350

saints: 685-15 is 670

in 3 days:

cowboys: 350+25 is 375

saints: 670-15 is 655

in 4 days:

cowboys: 375+25 is 400

saints: 655-15 is 640

in 5 days:

cowboys: 400+25 is 425

saints: 640-15 is 625

in 6 days:

cowboys: 425+25 is 450

saints: 625-15 is 610

in 7 days:

cowboys: 450+25=475

saints: 610-15 is 595

in 8 days:

cowboys: 475+25 is 500

saints: 595-15 is 580

in 9 days:

cowboys: 500+25 is 525

saints: 580-15 is 565

in 10 days:

cowboys: 525+25 is 550

saints: 565-15 is 550

in 10 days, they will have the same number of followers

Answer:

6+3^3

Step-by-step explanation:

6 plus 3 cubed

which is 6+3^3

Answer:

222

Step-by-step explanation:

Answer:

500 figures.

Step-by-step explanation:

We know that 185 figures is 37% of her entire collection.

Let c represent the total amount of figures.

Since 185 is 37% or 0.37 of her total collection, we can write the equation:

[tex]0.37c=185[/tex]

Remember that the keyword of tells us it's multiplication.

Therefore, to find the number of figures in her total collection, divide both sides by 0.37:

[tex]c=\frac{185}{0.37}[/tex]

Evaluate. Use a calculator. So:

[tex]c=500[/tex]

Sofia's total collection has 500 figures.

Answer: (2, 2 )

Step-by-step explanation:

Plug the x and y-values into the given equation.  If it makes a true statement, then it is a solution.

y = x +  

(0,0) → 0 = 0 +     FALSE

(1, ) →   = 1 +     FALSE

(2, 2 )  →  2  = 2 +     TRUE

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

5(3x+5)=3(5x+1)

Step 1: Simplify both sides of the equation.

5(3x+5)=3(5x+1)

(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)

15x+25=15x+3

Step 2: Subtract 15x from both sides.

15x+25−15x=15x+3−15x

25=3

Step 3: Subtract 25 from both sides.

25−25=3−25

0=−22

Answer:

There are no solutions.

(Hope that helps (= The given says the height distribution is normally distributed with the mean height equal to 68 inches. In this case, the bell-shaped curve has a vertical symmetry at 68 inches. This means, half of the mean exceeds 68 inches while the other half has height below 68 inches.

The height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, let we take:

Then, according to the given data, we have:
[tex]X \sim N(\mu = 68, \sigma = 2.5)[/tex]

where [tex]\mu[/tex] is mean value of X and [tex]\sigma[/tex] is standard deviation of X (both in inches).

Also, we can write:

[tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex]

Since normal distribution is symmetric about its mean, we can take a and b equidistant from the mean, so as to get a symmetric range which makes much more sense than taking an asymmetric range which doesn't comply with the nature of values of X.

Thus, we have:

[tex]\mu - a = b - \mu\\b = 2\mu - a[/tex]

From this result and [tex]P(X < a) + P(X > b) = 5\% = 0.05[/tex], we get:
[tex]P(X < a) + P(X > 2\mu -a) = 0.05[/tex]

Converting X to Z(the standard normal distribution), we get;
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

[tex]P(X < a) + P(X > 2\mu -a) = 0.05\\\\P(Z < z = \dfrac{x-\mu}{\sigma} = \dfrac{a-68}{2.5}) + P(Z > \dfrac{2(68) - a - 68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > \dfrac{68-a}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z > -\dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) + P(Z \leq \dfrac{a-68}{2.5}) = 0.05 \: \: \: \: (\because P(Z > -k) = P(Z \leq k))\\\\2P(Z < \dfrac{a-68}{2.5}) = 0.05\\\\P(Z < \dfrac{a-68}{2.5}) = 0.025[/tex]

Using the z-tables, we get the value of Z for which p-value is 0.025 as

-1.96

Thus, we get:
[tex]\dfrac{a-68}{2.5} = -1.96\\\\a = 68 + (-1.96 \times 2.5)\\a = 63.35[/tex]

Thus, we get: [tex]b = 2\mu - a = 2(68) - 63.35 = 72.65[/tex]

Thus, the range is [a,b] = [63.35, 72.65]

Thus, the height range out of which only 5% of the young American men (from age 18 to 24) lie is  [63.35, 72.65] (in inches)

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Answer:

∠RQS = 19°

∠RQT = 90°

∠RQV = 161°

∠UQV = 91°

Step-by-step explanation:

To get ∠RQV, you know that the line is equal to 180°, so subtract 19° from it:

∠RQV = 180 - 19

∠RQV = 161°

To get ∠UQV, you know that the line is equal to 180°, so subtract 71° and 18° from it:

∠UQV = 180 - 71 - 18

∠UQV = 91°

Hope this helps!

Answer:

Whats your question?

Step-by-step explanation:

Answer:

MINE CRAFT U SHOULD NEVER PLAY

Step-by-step explanation:

Answer:

6.9y+2.4y

= 9.3y

Hope it helps u,

pls put thanks and pls mark as the brainliest

Answer:89/1000

Step-by-step explanation:

Answer:

[tex]\frac{89}{1000}[/tex]  

Step-by-step explanation:

I hope this helps!

Answer:

The number 0 is a whole number, which is part of the rational numbers, is correct.

Step-by-step explanation:

Absalom states that 0 is a rational number.

As the whole numbers are 0,1,2,3,... which is starting from 0, so the stated number 0 is a part of the whole number.

As all the whole number are rational numbers, so 0 is a rational number

Hence, the explanation (i) which is,

The number 0 is a whole number, which is part of the rational numbers, is correct.

The naturals numbers are 1,2,3,... which starts from 1, so 0 is not a part of the natural number, and the number 0 can be written as a fraction like [tex]0=\frac {0}{1}[/tex].

Hence, statement (ii) The number 0 is a natural number, which is part of the rational numbers as well as the statement (iii) The number 0 cannot be written as a fraction, are wrong.

Answer:

The number 0 is a whole number, which is part of the rational numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

X<2

Answer:

rationale

Step-by-step explanation:

step by step instructions

Answer:

Irrational

Step-by-step explanation:

The decimal doesn't terminate.

Answer:

Let 2n + 1 be an odd number......  B/2nd option

Step-by-step explanation:

The best choice is

Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2.

Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.

A hypothesis in mathematics is a conclusion or a proposition made tentatively without supporting evidence. Some conjectures, like the Fermat's Last Theorem or the Riemann hypothesis, have significantly influenced the development of new branches of mathematics.

First, Only three examples are given which is not appropriate at all.

Second, This is the best proof is

Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.

Fourth, State the meaning of Title without proof.

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