Use prime factor decomposition, to find the HCF of 90 and 210!​

Answers

Answer 1

Answer:

30

Step-by-step explanation:

90 = 2 × 3^2 × 5

210 = 2 × 3 × 5 × 7

HCF = 2 × 3  × 5 = 30


Related Questions

can someone help me out

Answers

5.6 cm sry if i got it wrong

Can you help please please helps

Answers

Answer:

2nd option

Step-by-step explanation:

Given

- np - 6 ≤ 3(c - 5) ← distribute

- np - 6 ≤ 3c - 15 ( add 6 to both sides )

- np ≤ 3c - 9

Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.

n ≥ [tex]\frac{3c-9}{-p}[/tex]

9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons

Answers

A 20 gallons Bb. A Anna

write two inequalities to compare -2 and -18

Answers

Step-by-step explanation:

here's the answer to your question

Fill in the blanks to write a verbal description

Answers

Answer:

Step-by-step explanation:

17.

The expression 4(x-7) is the product of 4 and the difference of x and 7.

18.

The expression 2+8/c is the sum of 2 and the quotient of 8 and c.

Find the value of x and found to the nearest degree help ASAP

Answers

Answer:

22

Step-by-step explanation:

sin(X) = perpendicular/base

sin(X) = 7/19

X=arcsin(7/19)=22

3. How many right angles and parallelogram has​

Answers

Answer:

parallelogram has 4 right angle.

Answer:

It has 4 angles

Step-by-step explanation:

An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?

Answers

Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

how did they get 3/4 ?

someone please help me explain

Answers

Answer: 0.6/0.8

= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}

= 60/80 (cut the zero)

= 6/8 (cut by 2)

= 3/4

Below are the ratings for a sample of 12 hotels in small Ontario towns:

1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2

The critical values of this data set are given:

Q1=4.8 Q2=6.6 Q3=7.2

a) Determine the following and show all work: [3 marks]

i) interquartile range (IQR)

ii) upper boundary and lower boundary

iii) any outlier(s)


b) Create a modified box plot for the data, showing any outlier(s). [1 mark]


c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]

Answers

Answer:

a)

i) Interquartile range is   2.4  

ii) Upper boundary is 10.8  

The Lower boundary is 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1

b) The modified boxplot with one outlier is given in the diagram.                                                          

c) The 80th percentile is    

The minimum rating the hotel can get is 7.3

Step-by-step explanation:

a)

i) Interquartile range is  

IQR = Q3-Q1 = 7.2-4.8 = 2.4  

ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8  

Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2  

iii) Outliers are points above the upper boundary or below the lower boundary  

There is one outlier: 1.1  

c) The 80th percentile is given by  

n= 12  

k = 0.80  

Index is given by k*n =0.80*12 = 9.6  

Round to nearest whole number, that is 10th  

80th percentile is the 10th number (arranged in ascending order)  

80th percentile = 7.3  

The minimum rating the hotel can get is 7.3.

b) The modified boxplot with one outlier is given as follows,  

What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9

Answers

Answer:

(-3)

Step-by-step explanation:

follow me if you want

Which complex number is represented by the point graphed on the complex plane below?

On a coordinate plane, a point is graphed at (3, negative 4).
–4 + 3i
3 + 4i
3 – 4i
4 + 3i

Answers

Answer:

3-4i because it is negative in a graph

Answer:

C.) 3-4i

Step-by-step explanation:

because it is negative in a graph

Please help im stuck on this pls help ( i have to sort the cubes some how) i will give brainliest to who gets it right

Answers

Sort them in COLUMS, which is going down. There will be four sections, like this ...
_

| |

| |

| |
_


There will be four groups with three each, like this :)

Answer:

see image

three groups of 4 means 12 / 4 = 3

Step-by-step explanation:

ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?

Answers

Answer:

180 degrees

Step-by-step explanation:

ABCD is now opposite where it started, so it was rotated 180 degrees

I hope this helps!

Answer:

180 degrees

Step-by-step explanation:

Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?

Answers

Answer:

B' (2, - 5 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

B (- 5, 2 ) → B' (2, - 5 )

Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?

Answers

Answer:

P+T+t+R=TA

Step-by-step explanation:

this should help

Answer:

17,600

Step-by-step explanation:

16,586 + 1,038 = 17,624 ≈ 17,600

Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the nearest tenth of a percent.

Answers

Answer:

Decrease by 3.9%

Step-by-step explanation:

54,500(1-x) = 52355

x=0.03935... = 3.935% or 3.9%

Answer:

first we subtract his new salary from the old salary to get the decrease.

Then percentage decrease ,we get the decrease over the new salary and multuply by 100. to get the percentage decrease

fifty-five percent of the pupils in a class are girls. What is the ratio of the number of boys in the class?​

Answers

Answer:

45 boys

Step-by-step explanation:

55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys

Answer:

45 boys

Step-by-step explanation:

55 + 45 = 100 so if 55% of the class is girls then the rest of the percentage of the class which is 45 should be boys

Please hurry I will mark you brainliest

Answers

I believe it’s the first one

x^2 + 2*x*1/x+ 1/x^2

Answers

Answer:

the land of seven is a person that has a unique and the world

kendra is 3 times her duahters age plus 7myears kendra is 49 years old. write an equation to find her duaters age

Answers

Answer:

Kendra's daughter is 14 years old.

Step-by-step explanation:

If I'm reading this correctly, it says "plus 7 more years." I'm writing my equation based off that phrase being true.

Set up equation:

Variable x = daughter's age

x × 3 + 7 = Kendra

x × 3 + 7 = 49

3x + 7 = 49

3x = 42

x = 14

Check your work:

14 × 3 + 7 = 49

42 + 7 = 49

49 = 49

Correct!

What is the volume of the pyramid below?

Answers

Answer:

96m³

Step-by-step explanation:

Base area = 8×6/2 = 24 m²

Height = 12 m

Volume of a pyramid = 1/3 × Base area × Height

= 1/3 × 24 × 12

= 288/3

= 96 m³

Answered by GAUTHMATH

Formula: V = 1/3•BH
Answer: 1/3•10•12= 40m^3

Please help me fast

Answers

Answer:

864

Step-by-step explanation:

A=6a^2=6·12^2=864

Answer:

864 in^2

Step-by-step explanation:

2(144+144+144) = 2(432) = 864 in^2.

Hope this helped!

PLEASE HELP ASAP !! IF I DONT FINISH THIS HOMEWORK ILL GET GROUNDED .

A group of 11 students participated in a quiz competition. Their scores are shown below:

Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)

Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)

Answers

Answer:

A) Histogram

Step-by-step explanation:

A) The first step would be to look at the purpose and use for each type of plotting method;

Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.

Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values

Box Plot: Summerizes a set of data measured on an interval scale.

Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete

B)

To create your histogram you first have to create a frequency table like the one below;

On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)

Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.

That's how it's done!

Answer:

this is only for part a: a histogram

Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier

Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean

Answers

The question is incomplete. The complete question is :

Let [tex]p(t) = -0.0375t^2 + 0.225t[/tex]  be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and [tex]$0 \leq t \leq 4$[/tex]. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.

Answer:

2.4

Step-by-step explanation:

 Given :

[tex]p(t) = -0.0375t^2 + 0.225t[/tex]

Mean :

[tex]$=\int_0^4 tp (t) \ dt$[/tex]

[tex]$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$[/tex]

[tex]$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$[/tex]

[tex]$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$[/tex]

[tex]$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$[/tex]

[tex]$=-2.5 + 4.8$[/tex]

= 2.4

Therefore, the mean is 2.4

HELP PLEASE IM GONNA FAIL

21. Identify as a function or not a Function ​

Answers

Answer:

First one: function

Second one: not a function

Step-by-step explanation:

A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function

For the first one no x value repeats meaning each input has it's own output therefore it is a function

For the second one the x value 8 has more than 1 output therefore the second one is not a function

I really need help anyone know which option is correct.?

Answers

Answer:

B, [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the points ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line.

As one can see, on the given coordinate plane, the points ([tex]2,-1[/tex]), and ([tex]4,-2[/tex]) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

([tex]2,-1[/tex]),  ([tex]4,-2[/tex])

[tex]=\frac{-2-(-1)}{(4)-(2)}[/tex]

[tex]=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}[/tex]

(x^2-4x)^2+(x-2)^2+10

Answers

Answer:

x^4-8x^3+17x^2-4x+14

Step-by-step explanation:

Answer:

nan

Step-by-step explanation:

see the above picture

The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.

Answers

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

The average weight of 50 teachers is 46kg. If the average weight of gents teachers is 50kg and the average weight of ladies teachers is 40 kg, what is the number of ladies and gents teachers,

Answers

Answer:

20 ladies

30 gents

Step-by-step explanation:

Let :

x = number of ladies

50 - x = number of gents

total weight of the ladies = 40x

total weight of the gents = 50(50 - x) = 2500 - 50x

Average weight : (40x +2500 -  50x) / 50 = 46

cross multiply

2500 - 10x = 2300

combine like terms

2500 - 2300 = 10x

200 = 10x

x = 20 = number of ladies

Number of men = 50 - 20 = 30  

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