which of the following is equivalent to 5(2x - 3) - 4(3x - 2) = 18?

2x-7=18 -
2x-5=18
-2x-7=18
-2x-23=18​

Answer:

The length of the actual wall is 405 inches or 33.75 feet

Answer:

(x²+16)(X+4)(x-4)

Step-by-step explanation:

x⁴ can be written as (x²)²

256 can be written as (16)²

by identity. a²-b²= (a+b)(a-b) :

(x²+16)(x²-16)

x²-16 can be written as (x)²- 4²

by identity. a²-b²= (a+b)(a-b) :

(X+4)(x-4)

Therefore, the factors altogether would be

(x²+16)(x+4)(x-4)

Answer:

25 million on some jewlery that you put on you head

Step-by-step explanation:

Answer:

$52.5

Step-by-step explanation:

given

P=$50  R=0.05  T=1

I=PRT

I=50×0.05×1

I=$2.5

50+2.5=$52.5

Answer:

y=-4x+15

Step-by-step explanation:

Complete question :

Standardized tests: In a particular year, the mean score on the ACT test was 19.3 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 532 and the standard deviation was 128. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0/4 Part 1 of 4 (a) Find the z-score for an ACT score of 26. The Z-score for an ACT score of 26 is

Answer:

1.26

Step-by-step explanation:

Given that:

For ACT:

Mean score, m = 19.3

Standard deviation, s = 5.3

Zscore for ACT score of 26;

Using the Zscore formula :

(x - mean) / standard deviation

x = 26

Zscore :

(26 - 19.3) / 5.3

= 6.7 / 5.3

= 1.2641509

= 1.26

Answer:

Step-by-step explanation:

x, 30 - x add to 30.  The other condition says

x (30 - x) = 176.  Multiply it out.

30x - x^2 = 176, so

x^2 - 30x = -176, complete square by adding 15^2 to both sides

(x - 15)^2 = 225 - 176 = 49, take square root

x - 15 = 7,  so one number is:

x = 22 and the other is 30 - x = 8.

Given:

In triangle MNO, angle ONM is a right angle. Angle NOM is 40 degrees and angle LMN is 50 degrees.

To find:

The value of cos(M).

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

Draw a diagram using the given information.

In triangle MNO, angle ONM is a right angle so its opposite side MO is the hypotenuse. For vertex M, MN is the base of the triangle. So,

[tex]\cos (M)=\dfrac{MN}{MO}[/tex]

Therefore, the correct option is B.

Answer:

it is b

Step-by-step explanation:

Answer:

That would be A my good Sir (or ma'am).

Step-by-step explanation:

A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).

Thats It Helps It Helps!

Answer:

24

Step-by-step explanation:

384÷16= 24

Answer:

$93.

Step-by-step explanation:

Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:

75 + (75 x 0.2) + (75 x 0.04) = X

75 + 15 + 3 = X

93 = X

Therefore, the total cost he payed for his meal was $ 93.

Answer:

ok

Step-by-step explanation:

ok

Answer:

abt 75%

Step-by-step explanation:

Answer:

X=13

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

21=8+x

Swap sides so that all variable terms are on the left hand side.

8+x=21

Subtract 8 from both sides.

x=21−8

Subtract 8 from 21 to get 13.

x=13

Answer:

5x + 6y + 1

Step-by-step explanation:

Answer:

8 Pounds

Step-by-step explanation:

A cat that weighs 8 oz would be half of a pound, and that seems highly inaccurate. Most cats on average in the U.S. weigh 8 pounds, therefore that is your answer.

Answer/Step-by-step explanation:

AC = 1.2

AB = 4

BC = 2.6

DF = 3

DE = 10

EF = 6.5

Thus:

[tex] \frac{DE}{AB} = \frac{10}{4} = \frac{5}{2} [/tex]

[tex] \frac{DF}{AC} = \frac{3}{1.2} = \frac{3*10}{1.2*10} = \frac{30}{12} = \frac{5}{2} [/tex]

[tex] \frac{EF}{BC} = \frac{6.5}{2.6} = \frac{6.5*10}{2.6*10} = \frac{65}{26} = \frac{5}{2} [/tex]

The ratio of their corresponding sides are all equal to ⁵/2. Therefore, both triangles are similar.

9514 1404 393

Answer:

  BC ≈ 9.6 mi

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.

  Tan = Opposite/Adjacent

  tan(58°) = BC/(6 mi)

  BC = (6 mi)tan(58°)

  BC ≈ 9.6 mi

Answer:

y= 3x - 5

Step-by-step explanation:

y= mx+b is slope-intercept form,

m= slope (3)

b= y-intercept (5)

Therefore, y = 3x - 5 is your form.

If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.

Answer:

Step-by-step explanation:

Answer:

[tex]\displaystyle m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (5, 0)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

Answer:

A

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}[/tex]

To make it simpler and more clear, we can let u = sin(x). So:

[tex]\displaystyle \frac{u^2-u-2}{u-2}[/tex]

Now, it becomes obvious that we can factor, which produces:

[tex]\displaystyle =\frac{(u-2)(u+1)}{u-2}[/tex]

Cancel:

[tex]=u+1[/tex]

And substituting back:

[tex]=\sin(x)+1[/tex]

Hence, our answer is A.

Answer:

A

Step-by-step explanation:

Answer: 0.47

Step-by-step explanation:

0.47% = 0.0047 in decimal form. Percent means 'per 57'. So, 67Inches means 0.47 per 100 or simply 0.47/100. If you divide 0.47 by 100, you'll get 0.0047 (a decimal number).

Answer:

C. Find the sum of all the values and then divide by the number of values

Step-by-step explanation:

Answer:

1/3 + 1/5 them you solve -2

Step-by-step explanation:

Answer:

-2/3x+2/5

Step-by-step explanation:

Open up parentheses

-2 x 1/3x= -2/3x

-2 x 1/5= 2/5

Answer:

64π

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

Step-by-step explanation:

4×3×1/2×2+10×4×3=132