1answer.
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
avanturin [10]
3 years ago
12

Lena is 10 years old. She asks her dad how old he is. He tells her that the lowest common multiple of their ages is 14 times the

highest common factor of their ages. She knows that her dad is at least 30 years old but younger than 45. Work out how old her dad is.
Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

  35

Step-by-step explanation:

We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.

Apparently, the dad's age is 5·7 = 35.

___

The GCF is 5; the LCM is 70 = 5×14.

_____

Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...

  (2 [5) 7]

where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.

Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.

You might be interested in
PLEASE HELP IM STUUUCK
Arada [10]

Answer:

there 3x and 4y hope this makes sense ik on a rush

8 0
3 years ago
The cost for an order of 100 kilograms of steel bars is $230. The cost for an order of 150 kilograms of steel bars is $320. Writ
luda_lava [24]

Answer:

y = 9x/5 + 50

Step-by-step explanation:

We are represent the information as coordinate (x,y)

If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)

Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;

(150, 320)

Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c

m is the slope

c is the intercept

Get the slope;

m = y2-y1/x2-x1

m = 320-230/150-100

m = 90/50

m = 9/5

Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c

230 = 9/5(100)+c

230 = 9(20)+c

230 = 180 + c

c = 230-180

c = 50

Get the required equation

y = mx+c

y = 9/5 x + 50

Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50

4 0
3 years ago
What does U mean in geometry
Nata [24]

Answer:

So the union of sets A and B is the set of elements in A, or B, or both. The symbol is a special "U" like this: ∪ Example: Soccer = {alex, hunter, casey, drew}

Step-by-step explanation:

3 0
3 years ago
Find the mean, median, mode and range of the given data set. 12, 15, 17, 9, 17 a. 14, 15, 17, 8 c. 7, 14, 15, 17 b. 14, 12, 17,
Alex

Answer:

a. 14, 15, 17, 8

Step-by-step explanation:

5 0
3 years ago
The cost of an adult ticket to Jim's Jungle World is 3 times the cost of a child's ticket. Let a represent the cost of an adult
RSB [31]
That equation is
a=3c
5 0
3 years ago
Other questions:
  • I need help please help m
    11·1 answer
  • How do you graph y=3/2x-1
    10·2 answers
  • NEED HELP FAST PLEASE.
    8·1 answer
  • Ben is 3 times as old as daniel and is also 4 years older than daniel
    15·1 answer
  • Can someone please help me
    5·1 answer
  • 7 units up equation for each translation of y=|x|
    6·1 answer
  • Skate Space charges $50.00 to rent their bullding for events and \$5,50 per person to attend. A planning committee has \$100.00
    13·1 answer
  • Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
    12·1 answer
  • Now this a real test is orange a. color b.fruit c.donald trump its so hard!
    9·1 answer
  • Which of the following is the graph of f(x) = x2 − 5x + 4? (4 points)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!