Find the smallest positive integer x which is greater than 1 and relatively prime to 120 (recall that relatively prime means that the GCD of x and 120 is 1)

Answer:

17.1 kg

Step-by-step explanation:

One stack of rice = 26.3 kg

Two stacks of rice = 2 *26.3  = 52.6 kg

Remaining rice at end of day = Total weight of two stacks - quantity of rice sold in day

= 52.6 - 35.5

= 17.1 kg

Answer:

b) $640

Step-by-step explanation:

Competitor's price  = $800

Price, 20% below of competitor's:

Correct answer choice is b) $640

Answer:

Step-by-step explanation:

Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.  

Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.

Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.  

SOLUTION:

Given:  ∠AGE=126°

∠AGE=∠GED=126∘ [alternate interior angles]

 (ii) ∠GED=∠GEF+∠FED=126∘

∠GEF + 90° =126°

(GIVEN that EF⊥CD)  

∠GEF=126°−90°=36°

∠GEF=36°

(iii) ∠CEG+∠GED=180°

(GIVEN ∠GED=126∘)

∠CEG+126° =180°

∠CEG=180° −126°

∠CEG=54°

∠FGE=∠CEG= 54°     (alternate angles)

Answer:

y = 4x

Step-by-step explanation:

Points on the graph:

Slope intercept form:

Working out slope using two of the points:

The equation is now:

Using one of the points to find b:

So the final form is:

Correct answer choice is the last one

Answer:

The Answer would be y=4x

Step-by-step explanation:

I had this on a quiz once

Answer:

The entire class is done in 80 minutes

Step-by-step explanation:

20 % = 20/100 = 1/5

1/5  of the class in 16 minutes

Multiply each by 5

1/5 *5  of the class in 16*5 minutes

1 of the class in 80 minutes

The entire class is done in 80 minutes

Answer:

h= -5.8

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sample mean(x) = 23500

Sample standard deviation (sd) = 3900

Sample size (n) = 20

Population mean (m) = 20,000

Null hypothesis : m = 20000

H1: m > 20000

To obtain the z-score :

(population mean - sample mean) / (sample standard deviation /√sample size)

(x - m) / (sd/√n)

(23500 - 20000) / (3900 / √20)

3500 / (3900 /4.4721359)

3500 / 872.06651

= 4.0134

Get the P value to know if to reject or accept the null:

P(z > 4.0134) = 1 - P(z < 4.0134)

P(z < 4.0134) = 1

1 - P(z < 4.0134) = 1 - 1 =0

Since P value is < alpha, we reject the null.

Hence average is > 20000

Answer:

17 = x/18 and 23 = .84/n

Step-by-step explanation:

Answer:

17. x =18

23. n =0.84

Step-by-step explanation:

17.

[tex]\frac{6}{5} = \frac{x}{15} \\\\\frac{x}{15}=\frac{6}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}15\\\\\frac{15x}{15}=\frac{6\cdot \:15}{5}\\\mathrm{Simplify\:}\frac{15x}{15}:\quad x\\\\\mathrm{Simplify\:}\frac{6\cdot \:15}{5}:\quad 18\\\\x=18\\[/tex]

23.

[tex]\frac{2}{0.21}=\frac{8}{n}\\\\ \mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\\\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\times \:d=b\times \:c\\\\2n=0.21\times \:8\\\\\mathrm{Simplify\:}0.21\times \:8:\quad 1.68\\\\2n=1.68\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\\\frac{2n}{2}=\frac{1.68}{2}\\\\Simplify\\\\n=0.84[/tex]

Answer:

[tex] x = 3 [/tex]

Step-by-step explanation:

From the figure given, we have points A,B, and C, that are collinear. Therefore, according to the segment addition postulate, [tex] AB + BC = AC [/tex].

We are given that:

AB = 9x + 7

BC = -5x + 20

AC = 39

An equation that can be used to solve for x would be:

[tex] (9x + 7) + (-5x + 20) = 39 [/tex]

Solve for x

[tex] 9x + 7 - 5x + 20 = 39 [/tex]

[tex] 9x - 5x + 7 + 20 = 39 [/tex]

[tex] 4x + 27 = 39 [/tex]

Subtract 27 from both sides

[tex] 4x + 27 -27 = 39 - 27 [/tex]

[tex] 4x = 12 [/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{12}{4} [/tex]

[tex] x = 3 [/tex]

Answer:

see below

Step-by-step explanation:

4c + 5 = 27

1.  5 is the calories that come from something else besides carbohydrates in the one bite.

2.

Test the values 8 and 3

4*8 +5 = 32+5 = 37  this does not equal 27

4*3+5 = 12+5 = 17   this does not equal 27

neither 8 nor 3 are solutions

3.  

4c + 5 = 27

Subtract 5 from each side

4c + 5-5 = 27-5

4c = 22

Divide each side by 4

4c/4 = 22/4

c =5.5

Answer:

A. The 5 would stand for the other ingredients.

B. She is correct since if you plug in those numbers for c they would be wrong

C. 5.5

Step-by-step explanation:

A. The 5 would stand for the other ingredients.

    The reason that it is the other ingredients since it is the only other possible answer

B. She is correct since if you plug in those numbers for c they would be wrong

C. 5.5

To do this you would just subtract 5 from both sides leaving you with 4c=22 then you would divide 4 from both sides so you get c= 22/4 and when you simplify you get 11/2 which as a number is 5.5

Answer:

  if one equation has no real roots, the other must have real roots. Hence, at least one equation has real roots.

Step-by-step explanation:

The discriminant of the first equation is ...

  d1 = b^2 -4ac

The discriminant of the second equation is ...

  d2 = b^2 +4ac

__

Suppose the first equation has no real roots. Then ...

  d1 < 0

  b^2 -4ac < 0

  b^2 < 4ac

We know that b^2 is non-negative, so this means 4ac is positive. For that case,

  d2 = b^2 +4ac

is the sum of a positive number and a non-negative number so will be positive. When the discriminant is positive, there are two real roots.

When the first equation has no real roots, the second one must have two real roots.

__

Suppose the second equation has no real roots. Then ...

  d2 < 0

  b^2 +4ac < 0

  b^2 < -4ac

Again, b^2 is non-negative, so -4ac must be positive. For this case, the sum ...

  d1 = b^2 -4ac

is the sum of a non-negative and a positive number, so will be positive. The positive discriminant means there are two real roots.

When the second equation has no real roots, the first one must have two real roots.

One of these equations will have real roots, or not. If not, the other must have (distinct) real roots.

Answer:

37

Step-by-step explanation:

4x - 6 + x + 3 can be simplified to 5x - 3 by combining like terms.

substituting 8 for x, you get 5*8 - 3

evaluating, 40 - 3 = 37

Answer:

Step-by-step explanation:

perp. -1/3

y + 4 = -1/3(x - 3)

y + 4 = -1/3x + 1

y = -1/3x - 3

Answer: Margo does 48 activities in 4 weeks.

Step-by-step explanation:

In the calendar,

Red dots represent homework, yellow dots represent work, and green dots represent practice.

On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.

That means , total activity he does in a week = 5+3+4=12

Then, total activities in 4 weeks = 4 x 12 = 48

Hence, Margo does 48 activities in 4 weeks.

Answer:

-8

Step-by-step explanation:

First add together the x's.

2x + 1 - 5 = -20

Now add 1 and -5,

2x - 4 = -20

Add 4 to both sides,

2x - 4 + 4 = -20 + 4

2x = -16

Divide both sides by 2,

2x/2 = -16/2

x = -8

Answer:

Domain (0, ∞)

Range (-∞, ∞)

Step-by-step explanation:

The domain is the input values

The input is from 0 to infinity

Domain (0, ∞)

The range is the output values

The input is from negative infinity to infinity

Range (-∞, ∞)

Answer:

see explanation

Step-by-step explanation:

They are collinear if the have the same slope

(2 - -1)/(5 - 1) = 3/4

(5 - 2)/(9 - 5) = 3/4

(5 - -1)/(9 - 1) = 6/8 = 3/4

Step-by-step explanation:

Hey, there!!!

Your question is about showing the points A(1,-1), B(5,2) and C(9,5) as a collinear point.

We generally slope to find weather the points are collinear or not.

So, let's find slope for AB.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] slope = \frac{2 + 1}{5 - 1} [/tex]

Therefore, slope of AB = 3/4.

Now, slope of BC.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]slope \: (m) = \frac{5 - 2}{9 - 5} [/tex]

Therefore, the slope is 3/4.

now, lastly slope of AC.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]slope(m) = \frac{5 + 1}{9 - 1} [/tex]

Therefore, the slope of AC is 3/4.

As all point have same slope. They are collinear point.

Hope it helps...

Answer:

G

Step-by-step explanation:

Area of square = 8 m²

Side * side = 8

         side = √8

         side = 2.82

        Side = 2.8 m

Answer:

G 2.8

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{x}{8} = \frac{9}{24} [/tex]

Cross multiply

We have

24x = 72

Divide both sides by 24

That's

[tex] \frac{24x}{24} = \frac{72}{24} [/tex]

We have the answer as

3x² + 2x - 10

when x = - 1

Substitute the value of x into the expression

That's

3(-1)² + 2(-1) - 10

= 3 - 2 - 10

We have the answer as

When x = 0

That's

3(0) + 2(0) - 10

When x = 1

That's

3(1)² + 2(1) - 10

= 3 + 2 - 10

= 5 - 10

[tex] \sqrt{( - 9)} [/tex]

First of all apply the radical rule

That's

[tex] \sqrt{ - a} = \sqrt{ - 1} \times \sqrt{a} [/tex]

So we have

[tex] \sqrt{ - 9} = \sqrt{ - 1} \times \sqrt{9} [/tex]

Using the imaginary rule

That's

[tex] \sqrt{ - 1} = i[/tex]

We have

[tex] \sqrt{9} \times i[/tex]

We have the final answer as

[tex] \frac{1}{x} [/tex]

when x = 0

We have

[tex] \frac{1}{0} = 0[/tex]

when x = 1

[tex] \frac{1}{1} = 1[/tex]

when x = 2

We have

[tex] \frac{1}{2} [/tex]

Hope this helps you

Answer:

A rule that the sequence could follow is that the number so for example 1/8 will have to be multiplied by 1/2 so your answer would be 1/16.

Step-by-step explanation:

Answer:

[tex] 2\sqrt{34} + 6 units [/tex]

Step-by-step explanation:

The perimeter of the polygon shown = AC + BC + AB

Using distance formula, calculate the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], calculate AC, BC, and AB.

The coordinates of the points are as follows,

A(3, 5),

B(0, 0)

C(6, 0)

Find AB:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

A(3, 5) => (x1, y1)

B(0, 0) => (x2, y2)

[tex] AB = \sqrt{(0 - 3)^2 + (0 - 5)^2} [/tex]

[tex] AB = \sqrt{(-3)^2 + (-5)^2} = \sqrt{9 + 25} = \sqrt{34} [/tex]

[tex] AB = \sqrt{34} units [/tex]

Find BC:

BC is easy to determine from the graph directly. The distance from point B to C, is 6 units.

Find AC:

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

A(3, 5) => (x1, y1)

C(6, 0) => (x2, y2)

[tex] AC = \sqrt{(6 - 3)^2 + (0 - 5)^2} [/tex]

[tex] AB = \sqrt{(3)^2 + (-5)^2} = \sqrt{9 + 25} = \sqrt{34} [/tex]

[tex] AC = \sqrt{34} units [/tex]

Perimeter of the polygon = [tex] \sqrt{34} + 6 + \sqrt{34} [/tex]

[tex] = (\sqrt{34} + \sqrt{34}) + 6 [/tex]

[tex] = 2\sqrt{34} + 6 [/tex]

Answer:

2√34 +6 units

Step-by-step explanation: I took the test

I'm not sure what you're asking.... but

18+18=36

36 divided by 9 is equal to 4

the answer is 4

Answer: The written expression for this equation is one - fourth multiplied by nine minus a number. The variable is "a number" and you use the pronunciation of the other numbers.

Answer:

5[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Given

[tex]\sqrt{150}[/tex]

= [tex]\sqrt{25(6)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{6}[/tex]

= 5[tex]\sqrt{6}[/tex]

Answer:

Option (B)

Step-by-step explanation:

Given equation of the absolute function is,

y = |x|

When this function is reflected across the x-axis, new equation of the graph will be

y = -|x|

Now the image of the given function has been scaled vertically by a factor of 7,

Therefore, equation of the new graph will be,

y = -7|x|

Option (B) is the correct option.

Answer:

FOR red one = 1/26

FOR black three = 1/26

FOR six of hearts = 1/52

Step-by-step explanation:

TECHNICALLY EVERY CARD WOULD BE 1/52 BUT SINCE THERE R TWO DIFFERENT TYPES OF BLACKS AND REDS THE FIRST TWO ARE 1/26

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                     PEACE!