what is the greatest common factor of 160 and 198?

Answers

Answer 1

Hey there!

[tex]\large\textsf{FACTORS OF 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, \& 160}[/tex]

[tex]\large\textsf{FACTORS OF 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, \& 198}[/tex]

[tex]\large\text{Go through the factors to see if there’s any like terms and if you find any,} \\\large\text{look for the greatest one the numbers share together.}[/tex]

[tex]\large\text{Like terms: \boxed{\textsf{\bf 1 \& 2}}}[/tex]

[tex]\large\checkmark\boxed{\large\text{GCF: \bf 2 }}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge the GCF \underline{G}reatest \underline{C}ommon \underline{F}actor is \bf 2}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Related Questions

In triangle ABC , segment AB is congruent to segment CB . Which angles are congruent?​

Answers

Answer:

angles A and C are congruent

Help please!!!!!!!!!!!

Answers

Answer:

AB IS THE ANSWER !!!!!!!!!!

Answer: AB

Step-by-step explanation:

Hi! I don't know if you need help anymore ,but here you go!

Because BC=ED, I asume that AE=AB

Solve using the substitution method
16x – 4y = 16
4x - 4 = y​

Answers

Answer:

y = 4 x − 4

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?

Answers

Step-by-step explanation:

Option B is correct. Refer to the attachment!

A lift in a building starts with 7 passengers and stops at 10 floors.if each passenger is equally likely to get off at any floor and all passengers leave independently.what is the probability that atleast two passengers will get off at the same floor?​

Answers

Answer:

Correct option is

C

10

5

10P

5

Total ways in which one passenger can stop =10

Total ways in which 5 passengers can stop =10∗10∗10∗10∗10

=10

5

We will select 5 floors from 10 floors and assign each individual to each floor to keep everyone isolated from each other

No. of ways in which no two persons stop at the same floor =10C

5

∗5!

=10P

5

⇒P(E)=10P

5

/10

5

are sheep?ои b. At Molebogeng station, a train arrives every 50 minutes the first in domenat z. 122cio Ise minutes. The first train stops at 7:00 a.m. How many trains have stopped at the station just nun before 11:00 p.m.?​

Answers

Answer:

19 trains

Step-by-step explanation:

Firstly, we need to calculate the difference in the number of hours

From the question, we have 7 am to 11 pm

7 am to 7 pm is 12 hours

7 pm to 11 pm is 4 hours

So total is 16 hours

16 hours to minutes is multiplied by 60 minutes

We have this as;

16 * 60 = 960 minutes

so to get the number of trains, we simply have to divide the number of minutes by 50

Mathematically, we have this as 960/50

= 19.2

Since we cannot have a fractional train stop, it means the number of trains that has stopped is 19

solve the following system of equations with the help of matrix ::. x-2y-4=0 & -3x+5y+7=0​

Answers

Answer:

(x, y) = (-34,-19)

Step-by-step explanation:

...................................................

A wheelchair ramp with a length of 61 inches has a horizontal distance of 60 inches. What is the ramp’s vertical distance

Answers

Answer:

Step-by-step explanation:

The solution triangle attached below :

Since we have a right angled triangle, we can make use of Pythagoras rule to obtain the vertical distance, x

Recall :

Hypotenus² = opposite² + adjacent²

Hence,

x² = 61² - 60²

x² = 3721 - 3600

x² = 121

x = √121

x = 11

Vertical distance equals 11 inches

The 2010 GSS provides the following statistics for the average years of education for lower-, working-, middle-, and upper-class respondents and their associated standard deviations. Assume that years of education are normally distributed in the population. Mean Standard Deviation N Lower-class 11.61 2.67 123 Working-class 12.80 2.85 697 Middle-class 14.45 3.08 626 Upper-class 15.45 2.98 38 How many years of education correspond to a Z score of +1.2 for upper-class respondents?

Answers

Answer:

The answer is "18.087 years".

Step-by-step explanation:

For upper class:

[tex]\mu=15.45 \ years\\\\\alpha=2.98 \ years\\\\[/tex]

[tex]P(Z \leq 1.2)[/tex] from the standard normal distribution on the table:

[tex]P(Z \leq 1.2) =0.8849\\\\x=z_{\alpha}+\mu\\\\[/tex]

  [tex]=0.8849 \times 2.98 +15.45\\\\ = 2.637002+15.45 \\\\=18.087 \ \ years\\[/tex]

SOLVE PLS!! ILL MARK BRAINILEST!!

Answers

Answer:

73.3333....

Step-by-step explanation:

please mark me brainliest

Answer:

a: t=13.6 cm

b: h=12.9 mm

Step-by-step explanation:

Hi there!

Let's start with a

in a, we are given a right triangle (notice the right angle), the length of the hypotenuse (the side OPPOSITE from the right angle) as 18 cm, one acute angle given as 41° and the length of one of the legs (the legs are the sides that make up the right angle) as t

We're asked to use the primary trigonometric ratios

Those ratios are:

Sine, which is opposite/hypotenuse

Cosine, which is adjacent/hypotenuse

Tangent, which is opposite/adjacent

We will be basing the ratio off of the 41° angle, so let's find out which sides will be which in reference to that angle

The opposite side will be the other leg, the unmarked side

The adjacent side will be t

The hypotenuse will be the side marked as 18 cm

So let's use cos(41) in this case

cos(41)=t/18

Plug cos(41) into your calculator, and remember to have the calculator in degree mode

cos(41)≈0.8 (rounded to the nearest tenth)

0.8=t/18

multiply both sides by 18

13.6 cm=t

It's already rounded to the nearest tenth :)

b.

We are given a right triangle, and the lengths of the legs as h and 9 mm, as well as one acute angle as 35°

We'll be basing our ratio off of the 35 degree angle, so let's find which sides will be which in reference to that angle

The opposite side will be the leg marked as 9 mm

The adjacent side will be the leg marked as h

The hypotenuse will be the unmarked side

Since we are given the lengths of the opposite and the adjacent, let's use tan(35)

tan(35)=9/h

Plug tan(35) into your calculator, and remember to have it in degree mode

tan(35)≈0.7

0.7=9/h

multiply both sides by h

0.7h=9

divide both sides by 0.7

h=12.9 mm (rounded to the nearest tenth)

Hope this helps!

Does the equation 3x-6y=0 represent a direct variation? *

Answers

Answer:

yes

Step-by-step explanation:

if you change it to standard form, it would be

y=1/2x

because it's in the format of y=ax then it is direct variation

3s + 4t = 22
8s + 8t = 48
What is s and what is t
(Similtaneous Equations)

Answers

9514 1404 393

Answer:

   (s, t) = (2, 4)

Step-by-step explanation:

We can eliminate the t variable by subtracting the first equation from half the second.

  (1/2)(8s +8t) -(3s +4t) = (1/2)(48) -(22)

  s = 2

  3(2) +4t = 22

  4t = 16

  t = 4

The solution is (s, t) = (2, 4).

I will assign a question at around 9:00 today (July 3, 2021) for a huge amount of points. I won’t say where on Brainly. Good luck.

Answers

Answer:

ಠ_ಠ

Step-by-step explanation:



There's a three in the tens
placed
The digit is the ones places is
third multiple of three
It is a two-digit number

Answers

Answer:

That number is 39

BRAINLIEST HELP ME!!!



Which graph shows the solution to this system of linear Inequalities?
ys2x-3
A. Graph
B. Graph B
C. Graph A
D. Graph D

Answers

The answer is A. Graph C

Question 1
Points 3
Rese
A carpet is in the shape of a right triangle. The longer leg
measures 8 feet. The hypotenuse is 4 feet more than the
length of the shorter leg. How long is the shorter leg?
Reset
after
assess

Answers

Answer:

6 feet

Step-by-step explanation:

Given right triangle with:

Legs s and 8, and hypotenuse s + 4

Use Pythagorean and solve for s:

(s + 4)² = s² + 8²s² + 8s + 16 = s² + 648s = 64 - 168s = 48s = 6

An investor puts $1,200 into an account that pays 5.5% interest compounded annually. The total amount A in the account after t years is given by which function below?
A = 1200(1.55) t
A = 1200(1.055) t
A = 1200(1.055) t
A = 1200 + (1.055) t

Answers

Let's see

[tex]\\ \tt\leadsto A=P(1+r/n)^{nt}[/tex]

n=1

[tex]\\ \tt\leadsto A=1200(1+0.055)^t[/tex]

[tex]\\ \tt\leadsto A=1200(1.055)^t[/tex]

Answer:

[tex]\sf A=1200(1.055)^t[/tex]

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)t = time (in years)

Given:

P = $1,200r = 5.5% = 0.055t = t years

Substitute the given values into the equation:

[tex]\implies \sf A=1200(1+0.055)^t[/tex]

[tex]\implies \sf A=1200(1.055)^t[/tex]

Learn more about compound interest here:

https://brainly.com/question/27222595

https://brainly.com/question/26865309

Find the solution set.

The solution set for 5v2 – 125 = 0

Answers

Answer:

5v2 – 125 = 0

5(v2−25)=0

v2−25=0

a couple more steps and the answer is...

v=-5

The marked price of a bicycle is Rs 2000. If the shopkeeper allows some discount and a customer
bought it for Rs 1921 including 13% VAT, how much amount was given as the discount?

Answers

Answer:

Discount amount = $328.73

Step-by-step explanation:

Below is the calculation for the discount amount:

The marked price of bicycle = 2000

Purchase price = Rs 1921

VAT = 13%

First find the purchase price excluding VAT = 1921  - (13% of 1921) = 1671.27

Discount amount = 2000 - 1671.27

Discount amount = $328.73

There are 3 boxes of coins. There are 4 times as many coins in Box A as in Box B. There are 180 fewer coins in Box C than Box A. The number 2 of coins in Box B is of the total number of coins in the three boxes. 13 What is the total number of coins in the three boxes?​

Answers

Answer:

Step-by-step explanation:

The answer b

A piece of wire that is 200 ft long is to be cut into two pieces and each of the piece is to be bent into a square. How should the wire be cut if the area of one of the squares is 1000ft2 smaller than the other?

Answers

Answer:

Length of first cut = 140

Length of second cut = 60

Step-by-step explanation:

Given:

Length of wire = 200

Find:

Length of each cut

Computation:

Assume;

Side of first square = x/4

Side of second square = [200 - x] / 4 = 50 - x/4

So,

[x/4]² - [50 - x/4]²

x²/16 - x²/16 - 2500 + 25x = 1000

- 2500 + 25x = 1000

25x = 3500

x = 140

Side of first square = 140/4

Side of first square = 35

Side of second square = 50 - 140/4

Side of second square = 15

Length of first cut = 4 x 35

Length of first cut = 140

Length of second cut = 200 - 140

Length of second cut = 60

Answer:

60 ft and 140 ft

Step-by-step explanation:

Total length = 200 ft

Let the length of one piece is L and other is 200 - L.

[tex]1000 + \left (\frac{L}{4} \right )^2 = \left ( \frac{200 - L}{4} \right )^2\\\\16000 +L^2 = 40000 + L^2 - 400 L\\\\L= 60 ft[/tex]

So, the length of the other piece is 140 ft.

2(P +1) + 3(P + 2 ) > 2

Answers

Answer:

P>-6/5

Step-by-step explanation:

2(P+1)+3(P+2)>2

Use the distributive property to multiply 2 by P+1

2P+2+3(P+2)>2

Use the distributive property to multiply 3 by P+2

2P+2+3P+6>2

Combine 2P and 3P to get 5P

5P+2+6>2

Add 2 and 6 to get 8

5P+8>2

Subtract 8 from both sides

5P>2−8

Subtract 8 from 2 to get −6.

5P>−6

Divide both sides by 5. Since 5 is positive

P>−6/5

​  

 

An employee at a shoe store has observed that taller customers have larger shoe sizes than customers who are shorter. She knows that shoe sizes are based on foot length, so she hypothesizes: Compared with shorter people, taller people have longer feet.

Answers

Question attachment below

Answer and explanation:

Data patterns are repeated data occurrences in a certain way that is recognizable.

In the example below, the data pattern shows taller people require larger shoe sizes(the taller the person the larger the shoe size) but does make some exceptions. Example: while Denver is taller and requires a larger shoe size, Eduardo is shorter than Tim and still requires a larger shoe size than Tim.

The diagram shows that `/_A cong /_D` and `bar(AB) cong bar(DE)`. Which other statement do you need to prove triangle congruency through the SAS criterion?
A. /_C cong /_F
B. bar(BC) cong bar (EF)
C. /_B cong /_E
D. bar(AC) cong bar(DF)

Answers

Answer:

Option D

Step-by-step explanation:

In the given triangles ΔABC and ΔDEF,

∠A ≅ ∠D

AB ≅ DE

By SAS property of congruence of two triangles,

Two sides and the included angle of one triangles should be congruent to corresponding two sides and the included angle of the other triangle.

Therefore, AC ≅ FD will be the desired property to prove the given triangles congruent.

Option D will be the correct option.

Answer:

Step-by-step explanation:

Express these system specifications using the propositions p “The user enters
a valid password,” q “Access is granted,” and r “The user has paid the
subscription fee” and logical connectives (including negations).
a) “The user has paid the subscription fee, but does not enter a valid
password.”
b) “Access is granted whenever the user has paid the subscription fee and
enters a valid password.”
c) “Access is denied if the user has not paid the subscription fee.”
d) “If the user has not entered a valid password but has paid the subscription
fee, then access is granted.”

Answers

Answer:

a) r ⋀~p

b)(r⋀p)⟶q

c) ~r ⟶ ~q

d) (~p ⋀r) ⟶q

Step-by-step explanation:

To solve this question we will make use of logic symbols in truth table.

We are told that;

p means "The user enters

a valid password,”

q means “Access is granted,”

r means “The user has paid the

subscription fee”

A) The user has paid the subscription fee, but does not enter a valid

password.”

Fist part of the statement is correct and so it will be "r". Second part of the statement is a negation and will be denoted by ~p. Since both statements are joined together in conjunction, we will use the conjuction symbol in between them which is "⋀" Thus, we have; r ⋀~p

B) Still using logic symbols, we have;

(r⋀p)⟶q

⟶ means q is true when r and p are true.

C) correct symbol is ~r ⟶ ~q

Since both statements are negation of the question. And also, if ~r is true then ~q is also true.

D) Similar to answer A to C above, applying similar conditions, we have (~p ⋀r) ⟶q

Deon bought a desk on sale for $105.60. This price is 67% less than the original price. What was the original price?

Answers

Answer:

.33x = 105.60

$371

Step-by-step explanation:

Answer:

63.44

Step-by-step explanation:

its 63.44697 but you round so its 63.44

Last year Nancy weighted 37 5/8 pounds. This year she weighed 42.7 pounds. How much did she gain?

Answers

Answer:

Nancy gained 5.075 pounds.

Step-by-step explanation:

5/8=0.625

37.625

42.7-37.625=5.075

Nancy gained 5 more pounds

HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:  Choice C)  -3m^12n^6

Explanation:

The coefficients -24 and 8 divide to -24/8 = -3. Based on this alone, the answer is between choices B and C.

The m terms divide to [tex]\frac{m^5}{m^{-7}} = m^{5-(-7)} = m^{5+7} = m^{12}[/tex]

Notice how I subtracted the exponents. The general rule is [tex]\frac{a^b}{a^{c}} = a^{b-c}[/tex]

Since we get m^12, this points us to choice C as the final answer

For the sake of completeness, here's what the n terms divide to

[tex]\frac{n^4}{n^{-2}} = n^{4-(-2)} = n^{4+2} = n^{6}[/tex]

You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Write your answer as a mixed number.

Answers

Answer:

[tex]37 \frac{7}{12}[/tex] inches.

Step-by-step explanation:

Let's start by converting all of these mixed numbers to improper fractions to handle them a little better.

56 × 4 = 224 ⇒ 224 + 1 = [tex]\frac{225}{4}[/tex]

18 × 3 = 54 ⇒ 54 + 2 = [tex]\frac{56}{3}[/tex]

So, we have our improper fractions. Now, we need to convert each to twelfths so we can subtract.

225 × 3 = 675

56 × 4 = 224

[tex]\frac{675}{12} - \frac{224}{12}[/tex] = [tex]\frac{451}{12}[/tex]

[tex]\frac{451}{12} = 37 \frac{7}{12}[/tex]

So, the answer is [tex]37 \frac{7}{12}[/tex] inches.

6/10 > _ > 1/3 which fraction goes in the blank?

Answers

Step-by-step explanation:

6/10 > _ > 1/3

3/5 > _ > 1/3

Taking the average of both the fraction

½(⅗+)

½(9+5/15)

½(14/5)

=7/15

6/10 > 7/15 > 1/3

Answer:

7/15

Step-by-step explanation: 10 and 3 LCM is 30

6/10 x 3 =18/30 and 1/3x 10= 10/30

10/30 and 18/30 average is 14/30 which simplified is 7/15

The answer is 7/15

Hope it helps

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