Distributive property
2(x + 1)​

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

(3x)+(3x)+(5 *-3)

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

Answer:

B)

Step-by-step explanation:

x+36=102

x=102-36

x=66

Therefore, substitute x in your formula for x+14

66+14

Answer:

it will take him 30 weeks

Step-by-step explanation:

2 weeks = 1 kilogram lost

105-90=15

1 x 15 = 15

2 x 15 = 30

Answer:

8 AND 12

Step-by-step explanation:

MAURICE 8

MIRANDA 12

Answer:

[tex]x[/tex] rounded to the nearest integer would be 12.

Step-by-step explanation:

In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.

The value of x in the given triangle is 12, Option C is correct.

The given triangle is a right angled triangle.

We need to find the value of x.

We know that cosx is adjacent side by hypotenuse.

Cos 37 = Adjacent side/ Hypotenuse

The value of cos37 degrees is 0.7654

0.7654 = x/15

15×0.7654=x

11.5 =x

12=x

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Answer:

Solution given:

G=-17

H=5

distance =-17-5=-22

since distance is always positive so

distance between GH: 22 units.

Location

Find distance

Answer:

Step-by-step explanation:

x is the quantity by which the original measurements of the garden is increased.  For example:  the original width is 5 ft and x is the amount by which this is increased.

x here is the added value in the width and length of his garden to increase the fencing.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

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Answer:

D. The median, 5, is greater than the mean, 4,

Step-by-step explanation:

Median: Put them from least to greatest, ( but they are) then find the middle

Mean: Add all the numbers together= 20, divide that by the numbers you added from 5:    20/5=4

5 from median is < than mean 4

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Hope this helps

Solution :

95% confidence interval for the difference between the means of ACT scores between two schools, is given by :

[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]

[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]

[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]

[tex]$n_1=39, \ \ n_2=37$[/tex]

M.E. , Margin of error,

[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]

[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]

  [tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]

 = 9.222

s = 3.03

[tex]$t_{74,0.05} = 1.99$[/tex]

[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]

        = 1.4

Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]

                              = [-3.2, -0.4]

Therefore, the lower bound is -3.2

Answer:

The five odd numbers are:

23, 25, 27, 29, and 31

Step-by-step explanation:

A random odd number is written as:

2*n + 1

Where n is an integer.

Then 5 consecutive odd numbers will be:

2*n + 1

2*(n + 1) + 1

2*(n + 2) + 1

2*(n + 3) + 1

2*(n + 4) + 1

Now we want that the sum of the first 3 numbers to be 15 greater than the sum of the two last numbers, then:

(2*n + 1) + (2*(n + 1) + 1) + (2*(n + 2) + 1) = 15 + (2*(n + 3) + 1) + (2*(n + 4) + 1)

Now we just need to solve this for n:

(2*n + 1) + (2*n + 3) + (2*n + 5) = 15 + (2*n + 7) + (2*n + 9)

6*n + 9 = (15 + 7 + 9) + 4*n

6*n - 4*n = 15 + 7 + 9 - 9

2*n = 15 + 7 = 22

n = 22/2 = 11

Then the five numbers are:

(2*11 + 1) = 23

(2*(11 + 1) + 1) = 25

(2*(11 + 2) + 1) = 27

(2*(11 + 3) + 1) = 29

(2*(11 + 4) + 1) = 31

Answer:

x = {-4, -1/2}

Step-by-step explanation:

2x² + 9x + 4 = 0

Factor

(2x + 1)(x + 4) = 0

2x + 1 = 0

x = -1/2

x + 4 = 0

x = -4

x = {-4, -1/2}

Answer:

Annual premium = $1,500 per year

Quarterly premium = $375 per quarter

Step-by-step explanation:

Given:

Insured amount of term insurance plan = $15,000

Number of year = 10 year

Find:

Annual premium

Quarterly premium

Computation:

Annual premium = Insured amount of term insurance plan / Number of year

Annual premium = $15,000 / 10

Annual premium = $1,500 per year

Quarterly premium = Insured amount of term insurance plan / Number of quarter in 10 year

Quarterly premium = 15,000 / (10 x 4)

Quarterly premium = 15,000 / 40

Quarterly premium = $375 per quarter

Answer:

False

Step-by-step explanation:

[tex] \star \sf \: \frac{137}{11} = 12.4 \\\sf \star \: \frac{137}{12} = 12.4[/tex]

Answer:

GIME SOME POINTS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 4.5

Answer:

Dude Where's the Diagram?

Answer:

i believe its dependent

Step-by-step explanation:

Answer:

Y = 10.1 + 1.50x

Step-by-step explanation:

From the data contained in the computer output for linear regression

The coefficient of intercept = 10.1

coefficient of fertilizer = 1.50

Sample of an Equation of least squares regression line

y = a + bx

where : a = intercept , b = slope

hence the required equation will be

Y = 10.1 + 1.50x

y = yield , x = fertilizer

Answer:

Pam is correct!

Step-by-step explanation:

Pam is correct it would be between nine minutes and 12!

Answer:

33.44 cm²

Step-by-step explanation:

sorry if incorrect

Answer:

12 inches

Step-by-step explanation:

All you have to do is divide 72 by 6.

72 divided by 6 equals 12.

So your answer would be D.12 inches

Answer:

288

Step-by-step explanation:

y= xkz

K= y/xz

= 24/2×1

= 24/2

= 12

y= xkz

= 12×12×2

= 288

Hence the value of y is 288

Answer:

[tex]m=46^{\circ},\\n=22^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:

[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]

Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:

[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]

Answer:

M = 46°

N = 22°

Step-by-step explanation:

Value of M:

Sum of angles in triangle = 180°

180° - 90° - (180° - 136°) = m

90° - 44° = m

m = 46°

Value of N:

The triangle is isosceles (marked by the two congruent lines with the tick)

That means that the other two angles, are the same

180° - 136° = 2n

44° = 2n

n = 22°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

y=1/3x+5/3

Step-by-step explanation:

use the equation y=mx+b plug in slope for m, -2 for x and 1 for y

Answer:

(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2

Step-by-step explanation:

4,000 Square Inches =

27.777778 Square Feet

Answer:

HL theorem

Step-by-step explanation:

since NP⊥OM, so, L H is a right angle.

and NM = OP as hypotenuse

HL theorem

NP is perpendicular to OM

NM =OP given

So the triangles are congruent

Answer:

-1

Step-by-step explanation:

g(x) = 2x

h(x) = 4x - 3

(g - h)x = g(x) - h(x)

g(x) - h(x) = 2x - 4x + 3

g(2) - h(2) = 2*2 - 4*2 + 3

g(2) - h(2) = -4 + 3

g(2) - h(2) = - 1

321,300,0

Multiply 20x17x15x18x35

20×17= 340

5×18= 90

340+90= 430

answer 430 km

i hope this helps ^^

Answer: The answer is (B) unusual actions

Step-by-step explanation:

I took the test on edge and got it right and all so the person above me is correct, have a wonderful day. And good luck with your test. (✿◡‿◡)

Reading the excerpt allows a reader to understand what Andrew Brown is feeling thanks to his unusual actions.

The speaker in the excerpt talked about how Andrew Brown would usually offer to allow him to pick out letters and arrange them in a form.

On this day, Andrew Brown did not offer the speaker that courtesy which was unusual. This shows that Andrew Brown is not his usual self.

In conclusion, option B is correct.

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Answer:

(Thanks) it's A because the limit is in the same place on both graphs. The filled-in dot doesn't affect the limit at all, it just means the "real" value of x=-4 is 8, but the "limit" is still at 5 either way.