Write the quotient as a mixed number.
98 divided by 3= 32 R2

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:

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:

b) $640

Step-by-step explanation:

Competitor's price  = $800

Price, 20% below of competitor's:

Correct answer choice is b) $640

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:

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:

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:

-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:

[tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{7}{3}[/tex] + 3([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{3}[/tex] )²

= [tex]\frac{7}{3}[/tex] + 3 ([tex]\frac{1}{3}[/tex] )²

= [tex]\frac{7}{3}[/tex] + 3 × [tex]\frac{1}{9}[/tex]

= [tex]\frac{7}{3}[/tex] + [tex]\frac{1}{3}[/tex]

= [tex]\frac{8}{3}[/tex]

Answer:

8/3

Step-by-step explanation:

7/3+3(2/3-1/3)^2

=7/3+3(1/3)^2

=7/3+3(1/9)

=7/3+3/9

=7/3+1/3

=8/3

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:

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:

Step-by-step explanation:

perp. -1/3

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

y + 4 = -1/3x + 1

y = -1/3x - 3

Answer:

h= -5.8

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

1.) First, divide 42 by 6 since there are six people and the total is $42.

42/6 = 7

2.) Now, add $2 to 7 since 7  was the price of the movie ticket AFTER the $2  were taken off of it

x = 7+2x=9

4.) So, one movie ticket (x) = $9

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: 15 rows with 45 seats each

Step-by-step explanation:

Let x = the number of rows, then 3x= the number of seats in a row.

                                   seats × row= total

                                            3x × x=675

                                                3x²=675

                                                  x²=225

                                                   x=15

Answer:

Step-by-step explanation:

let the number of rows=x

seats in each row=3x

so number of seats=x(3x)=3x²

3x²=675

x²=225

x=15

number of rows=15

and seats in each row=15×3=45

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:

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:

Loss percentage = 40% (Approx)

Step-by-step explanation:

Given:

Cost price of home = $182,000

Sales price = $110,000

Find:

Loss percentage

Computation:

Loss = Cost price - Sales price

Loss = $182,000 - $110,000

Loss = $72,000

Loss percentage = [Loss / Cost price]100

Loss percentage = [72,000 / 182,000]100

Loss percentage = 39.5604

Loss percentage = 40% (Approx)

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:

[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 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:

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!

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 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:

  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.