answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marianna [84]
2 years ago
5

Find the hcf of 144 and 180. if it is expressed in the form 13m-3, find the value of m​

Mathematics
2 answers:
BaLLatris [955]2 years ago
8 0

Answer:

Step-by-step explanation:

To find the HCF of 144 and 180

By using product of prime method

Firstly express 144 as a product of it prime and express 180 as a product of it prime

140=2×2×2×2×3×3

180=2×2×3×3×5

Common factor =2×2×3×3

36

in term of m

m=36

13m-3

To find m

Substitute for m when m=36

13(36)-3=

465

Leto [7]2 years ago
8 0

Answer:

144 and 180 =465

Step-by-step explanation:

You might be interested in
Select the statement that is true. Group of answer choices There are integers s and t such that 2=102⋅s+72⋅t . here are integers
LekaFEV [45]

Answer:

Step-by-step explanation: true

3 0
2 years ago
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

  • <em><u>5.3 hours</u></em>

Explanation:

<u>1) Time it takes Ashley to preprate one bag: </u>

  • 2/3 min

<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>

  • 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
  • 2/3 min + 1/2 min = 7/6 min

<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>

  • Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

  • Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

  • Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

  • Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

<u>4) Time of prepare 1575 bags of samples:</u>

  • time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

<u>5) Convert minutes to hours:</u>

  • 356.56 min × 1 hour / 60 min = 5.3 hours
3 0
1 year ago
Two boats depart from a port located at (–10, 0) in a coordinate system measured in kilometers, and they travel in a positive x-
stiks02 [169]
To get the points at which the two boats meet we need to find the equations that model their movement:
Boat A:
vertex form of the equation is given by:
f(x)=a(x-h)^2+k
where:
(h,k) is the vertex, thus plugging our values we shall have:
f(x)=a(x-0)^2+5
f(x)=ax^2+5
when x=-10, y=0 thus
0=100a+5
a=-1/20
thus the equation is:
f(x)=-1/20x^2+5

Boat B
slope=(4-0)/(10+10)=4/20=1/5

thus the equation is:
1/5(x-10)=y-4
y=1/5x+2

thus the points where they met will be at:
1/5x+2=-1/20x^2+5
solving for x we get:
x=-10 or x=6
when x=-10, y=0
when x=6, y=3.2
Answer is (6,3.2)
5 0
2 years ago
Read 2 more answers
Quadrilaterals WXYZ and BADC are congruent. In addition, WX ≅ DC and XY ≅ BC. If AD = 4 cm and AB = 6 cm, what is the perimeter
Yanka [14]

If <u>quadrilaterals</u> WXYZ and BADC are <u>congruent</u>, then their corresponding <u>sides</u> are congruent.

Given that

  • WX≅DC,
  • XY≅BC,

you can state that

  • YZ≅AB,
  • WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer: 20 cm

6 0
2 years ago
Read 2 more answers
What is greater than 1.45? A. 0.009 B. 0.019 C. 0.0032 D. 0.0177
8_murik_8 [283]

Answer:

none of them are greater than 1.45

8 0
1 year ago
Read 2 more answers
Other questions:
  • a resorvoir can be filled by an inlet pipe in 24 hours and emptied by an outlet pipe 28 hours. the foreman starts to fill the re
    9·2 answers
  • Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function f(x) = -1
    13·1 answer
  •  A hiker is walking down a mountain. She walked​ 5,978 feet in 17 minutes. In that​ time, she descended​ 1,024 feet from the top
    7·1 answer
  • Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate. Find his average speed in kilometers per
    15·2 answers
  • MISSY SAYS THAT 5/6 EQUALS 6 DIVIED 5 IS SHE CORRECT? WHY ORWHY NOT.
    11·2 answers
  • NEED HELP ON NUMBER 13 AND 14
    9·1 answer
  • Yuna's favorite type of cheese crackers has 30 crackers for each serving.
    8·1 answer
  • An element with mass 210 grams decays by 8.3% per minute. How much of the element is remaining after 15 minutes, to the nearest
    9·1 answer
  • The formula for the area of a trapezoid is A = one-half (b Subscript 1 Baseline + b Subscript 2 Baseline) times h When this equa
    6·2 answers
  • A fan consumes 1 unit of electricity in 3 hours. Rahul has 2 fans which consumed 21 units this month. For how many hours did he
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!