Factor the expression: -x - 6 =

Answer:

CDA and BDA are the same

Step-by-step explanation:

Hi there! :)

[tex]\large\boxed{A = 22 \text{ , } M = 46 }[/tex]

We can solve by setting both equations equal to the same variable.

We are given that M + A = 68 and M = A + 24. The easiest variable to set both equal to would be M.

Rearrange the first equation by subtracting A from both sides:

M = -A + 68

Now that both equations equal to M, we can set the two equal to each other:

-A + 68 = A + 24

Add A to both sides:

68 = 2A + 24

Subtract 24 from both sides:

44 = 2A

Divide both sides by 2:

A = 22.

Plug this back into an equation to solve for M:

M + 22 = 68

M = 68 - 22

M = 46.

Answer:

your question is quite different. I do not understand properly

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

Please find the complete question in the attachment file.

In point a:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=22.8[/tex]

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]

In point b:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=20.6875[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]

In point c:

 [tex]\to \mu=\frac{\sum xi}{n}[/tex]

         [tex]=21[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]

In point d:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=20.8375[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]

Answer:

-2

Step-by-step explanation:

9 + 4f - 7z

Use what they have given you

f = 6

z = 5

Now that you have those, all you need to do is substitute them into the expression

9 + 4f - 7z

9 + 4 (6) - 7 (5)

9 + 24 - 35

33 - 35

-2

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer: -2

9 + 4f - 7z

Use what they have given you

f = 6

z = 5

Now that you have those, all you need to do is substitute them into the expression

9 + 4f - 7z

9 + 4 (6) - 7 (5)

9 + 24 - 35

33 - 35

-2

Answer:

648 cups, 3 fluid ounces

Step-by-step explanation:

You need to know that 1 cup = 8 fluid ounces (fl. oz).

convert to fl. oz:

1296 cups = 10368 fl.oz.

total fl.oz. = 10368+6 = 10374

10374 / 2 = 5187 fl.oz.

= 648 cups and 3 fluid ounces

Answer:

52 pages per 1 hour

Step-by-step explanation:

If Penny reads 13 pages in 1/4 of an hour you need to multiply 13 by 4 to see how many pages she will read in 1 hour.

The unit rate:

52 pages per hour.

0.02 hours per page.

One type of operation in mathematics is division. We divide the phrases or numbers into the same number of components during this operation.

To find the unit rate of pages per hour, we need to convert 1/4 hour to hours first.

1/4 hour = 0.25 hour

Then, we can use the formula:

Unit rate = Pages ÷ Time

Unit rate = 13 pages ÷ 0.25 hour

Unit rate = 52 pages per hour

To find the unit rate of hours per page, we can use the reciprocal of the previous unit rate:

Unit rate = Time ÷ Pages

Unit rate = 0.25 hour ÷ 13 pages

Unit rate = 0.0192 hours per page

Rounded to the nearest hundredth, the unit rate is 0.02 hours per page.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

15 vg

18 vg

Just put a line in-between them to make a fraction.

Answer:

D- y=1/3x-1/2

Step-by-step explanation:

I believe that the slope needs to be opposite and the reciprocal

Answer:

200, 200

Step-by-step explanation:

Answer:

I cant see the question

Step-by-step explanation:

Answer:

the width be 70 yards

Step-by-step explanation:

The computation of the width of the field is as follows:

As we know that

The Perimeter of the rectangle is

= 2 × (length + width)

Where

Perimeter is 340 yards

Let us assume the width be x

So, the length would be x + 30

Now put these values to the above formula

340 = 2 × (x + x + 30)

340 = 2 × (2x + 30)

340 = 4x + 60

4x = 280

x = 70

The length would be

= 70 + 30

= 100

Hence, the width be 70 yards

Answer:

Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Answer:

(6243.99, 11014.53) ; 2385.27 ; (7998.17, 9260.34) ;

Step-by-step explanation:

Given the data:

6416; 1550; 2110; 9351; 21830; 4299; 5945; 5722; 2827; 2046; 5481; 5202; 5855; 2749; 10011; 6356; 27000; 9415; 7683; 3202; 17502; 9200; 7380; 18315; 6557; 13714; 17767; 7491; 2769; 2861; 1264; 7284; 28165; 5081; 11624

Using calculator :

Sample mean, m= 8629.25714

Sample standard deviation, s = 6943.92362

1.) T test distribution ;

Sample size, n = 35

Confidence interval (C. I) : m ± Zcritical * s/sqrt(n)

n = sample size = 35

Tn-1,0.025 = t34, 0.025 = 2.0322

C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(35))

C.I = 8629.25714 ± 2385.2689

Lower bound = 8629.25714 - 2385.2689 = 6243.98824

Upper bound = 8629.25714 + 2385.2689 = 11014.52604

(6243.99, 11014.53)

Error bound :

E = t34, 0.025 * (s/sqrt(n))

E = 2.0322 * 6943.92362 / sqrt(35)

E = 2.0322 * 1173.7373

E = 2385.27

C.)

If n = 500

C.I = 8629.25714 ± 2.0322 * (6943.92362 / sqrt(500))

C.I = 8629.25714 ± 631.08285

Lower bound = 8629.25714 - 631.08285 = 7998.17429

Upper bound = 8629.25714 + 631.08285 = 9260.33999

(7998.17, 9260.34)

Error bound :

E = t34, 0.025 * (s/sqrt(n))

E = 2.0322 * 6943.92362 / sqrt(500)

E = 2.0322 * 310.54170

E = 631.08

Both the error margin and the confidence interval reduces due to large sample size.

Answer:

The court has a length of 70 feet, and a width of 35 feet.

Step-by-step explanation:

We know two things:

the the length is twice the width

l = 2w

We also know that  the perimeter is 210 feet.  Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:

210 = 2w + 2l

Now we can substitute the first definition of l into the second equation:

210 = 2w + 2(2w)

And now we can solve for w:

210 = 2w + 2(2w)

210 = 2w = 4w

210 = 6w

w = 210 / 6

w = 35

Now that we have w, we can plug that into our first little equation to find l:

l = 2w

l = 2 × 35

l = 70

So the width of the court is 35 feet, and it's length is 70.

Answer:

5x-10

Step-by-step explanation:

8x-3x-10

first you subtract 3from 8 and get 5 just add the x so your left with 10

Answer:

-2(x+9)

Step-by-step explanation:

x-8-3x-10

-4x-18

-2(x+9)

Hope it helps you

Answer:

Annuity.

Step-by-step explanation:

A sequence of payment made at equal time period is called an annuity.

Basically, annuity can be calculated using the compound interest formula. It is given by the mathematical expression;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Additionally, the time period between each payment is called payment period.

The term of an annuity refers to the time from the beginning of the first payment made by an individual to the end of the last payment period.

Answer:

110,000 kg

Step-by-step explanation:

Just look at the kilos of flour produced on Wednesday from both plants and add them together :)

Answer:

Step-by-step explanation: 60 x 3= 380

2 x 60= 270

270 + 380= 810

Answer:

0.5 pounds!

Step-by-step explanation:

Answer: 3/2

Step-by-step explanation:

To find the slope, you want to take the two points and plug it into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. That will find the slope. The points are (-5,-4) and (-1,2).[tex]m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}[/tex]

Now, we know that the slope is [tex]m=\frac{3}{2}[/tex].

Answer:

The required expression which can be used to find the nth term in the sequence is:

[tex]a_n=2n+3[/tex]

Hence, the fourth option i.e. 2n+3 is the correct option.

Step-by-step explanation:

Given the sequence

5, 7, 9, 11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

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

computing the differences of all the adjacent terms

[tex]7-5=2,\:\quad \:9-7=2,\:\quad \:11-9=2[/tex]

The difference between all the adjacent terms is the same and equal to

d = 2

So

Thus, the nth term of the sequence is

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

substitute a₁ = 5 and d = 2 in the sequence

[tex]a_n=2\left(n-1\right)+5[/tex]

[tex]a_n=2n+3[/tex]

Therefore, the required expression which can be used to find the nth term in the sequence is:

[tex]a_n=2n+3[/tex]

Hence, the fourth option i.e. 2n+3 is the correct option.

Answer:

Baka renejay to HAHAHHA

Answer:

A

Step-by-step explanation:

A. Here is why:

In a function, each x maps to exactly one value of y.

In B and C, x = -3 maps to both -1 and 2, is they are not functions.

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

A. Multiplication is the same as repeated addition.

B. Multiplying a fraction by an integer effectively multiplies only the numerator. The denominator remains unchanged.

C. (false -- see B)

D. A product is unchanged if a factor is removed from the multiplicand and is applied to the multiplier. (The associative property of multiplication tells you this.)

  4 × 1/6

  = (2 × 2) × 1/6 = 2 × (2 × 1/6)

  = 2 × 1/3

answer is 13

I hope it helpful

Answer:

The value of p² + r³, when p = 2 & r = 3

(2)²+(3)³=4+27=31

Answer:

$278.15×60= $16688.969

Step-by-step explanation:

Murphy has a 15/5 balloon mortgage plan therefore he would make constant payments monthly for five years and then pay the balance of the loan/balloon payment for the 10 years left in bulk

To calculate principal+interest on loan before balloon payment is due, we simply calculate Murphy's constant/monthly payments for the 15 year loan amortization and multiply by number of payments before balloon payment is due:

Formula for monthly payments

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= monthly payments

P= mortgage loan value

r= interest rate on loan

n= number of payments = 15×12= 180 monthly payments

Substitute :

A= $113500×0.0495×0.0495(1+0.0495)^180/(1+0.0495)^180-1

A= $113500×0.0495×296.104/5980.90

A= $113500×0.0495×0.049508

A= $278.15

To calculate our principal and interest before balloon payment, we multiply by number of payments(5×12=60 payments) before due balloon payment

60×$278.15= $16688.969

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

Using the Factor Theorem, the factored form equivalent to this expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In this problem, the expression is:

[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]

[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]

[tex]2x^2 - 8x + 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].

Hence:

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]

Hence, the expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

You can learn more about the Factor Theorem at https://brainly.com/question/24380382