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
NikAS [45]
3 years ago
10

The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?

Mathematics
1 answer:
Serggg [28]3 years ago
3 0
Lets consider SAM's age is 'x'  and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
 and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.
You might be interested in
Match each letter listed to the correct family of elements.
tekilochka [14]

The answers are

D --> Boron family

H --> Halogens

A --> Alkali metals

I --> Noble gases

Hope this helps

5 0
3 years ago
Which statement could be used to prove to provide that the function f(x)= -4x+6 grows by equal differences over any x-interval o
Ivahew [28]

Find the Greatest Common Factorthe largest number that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is <span>22</span>.
the highest degree of <span>xx</span> that divides evenly into <span>4x<span>4x</span></span> and <span>-6<span>−6</span></span>?
It is 1, since <span>xx</span> is not in every term.Multiplying the results above,
The GCF is <span>22</span>.

<span><span>2(<span><span>​2</span>​<span>​<span>4x</span></span><span>​​</span></span>−<span><span>​2</span>​<span>​6</span><span>​​</span></span>)

</span>
<span>−2(2x−3)</span>
</span>

3 0
3 years ago
Plz help me with this
AnnZ [28]

Answer:  \bold{A)\quad y=5sin\bigg(\dfrac{6}{5}x-\pi\bigg)-4}

<u>Step-by-step explanation:</u>

The general form of a sin/cos function is: y = A sin/cos (Bx-C) + D where the period (P) = 2π ÷ B

In the given function, B=\dfrac{6}{5}  →   P=2\pi \cdot \dfrac{5}{6}=\dfrac{10\pi}{3}

Half of that period is: \dfrac{1}{2}\cdot \dfrac{10\pi}{3}=\large\boxed{\dfrac{5\pi}{3}}

Calculate the period for each of the options to find a match:

A)\quad B=\dfrac{6}{5}:\quad 2\pi \div \dfrac{6}{5}=2\pi \cdot \dfrac{5}{6}=\dfrac{5\pi}{3}\quad \leftarrow\text{THIS WORKS!}\\\\\\B)\quad B=\dfrac{6}{10}:\quad 2\pi \div \dfrac{6}{10}=2\pi \cdot \dfrac{10}{6}=\dfrac{10\pi}{3}\\\\\\C)\quad B=\dfrac{5}{6}:\quad 2\pi \div \dfrac{5}{6}=2\pi \cdot \dfrac{6}{5}=\dfrac{12\pi}{5}\\\\\\D)\quad B=\dfrac{3}{10}:\quad 2\pi \div \dfrac{3}{10}=2\pi \cdot \dfrac{10}{3}=\dfrac{20\pi}{3}

7 0
3 years ago
Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a repr
Nookie1986 [14]

Answer:

4.95a + 6.55b = 27.95

3 0
3 years ago
Read 2 more answers
Pls help, I really need this answer!!!!
podryga [215]
If you think about it, an octagon is made up of 8 triangles. So you first find the area of one triangle then multiply it by 8 for the total area:
A=1/2bh
A=1/2(9.9)(12)
A=59.4

59.4 x 8= 475.2

Therefore the total area for the octagon should be 475.2 units^2

Hope this helps !

5 0
3 years ago
Other questions:
  • To solve the equation x + 7 = 13,
    8·1 answer
  • The Wilsons drove 324 miles in 6 hours if they drilled the same number of miles each hour how many miles did they drive in 1 hou
    10·1 answer
  • 20x2 – 20x + 60<br> what are all the number factors that can be factored out
    14·1 answer
  • A bag contains 40 marbles, some white some red. The ratio of white marblesto red ones is 1:7. How many red marbles are there?
    9·1 answer
  • I need help graphing on this number line
    12·2 answers
  • If a class is made up of 55% boys and there are 14 girls how many boys are there
    6·1 answer
  • If the area of a circle is 121 pi square units, what is its diameter
    10·2 answers
  • What is the quotient of 9.75÷1.3
    11·1 answer
  • Help me<br>please i need help​
    15·1 answer
  • Salespeople receive a 7% commission on all items that they sell. Their sales for one day totaled $675. What was the amount of co
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!