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
valentinak56 [21]
3 years ago
8

Ralph is 3 times as old as Sara. In 6 years , Ralph will be only twice as old as Sara will be then. Find Ralph’s age now .

Mathematics
1 answer:
Delvig [45]3 years ago
3 0

Answer:

Ralph's current age is 18.

Step-by-step explanation:

Let r and s represent the current ages of Ralph and Sara respectively.  Our task here is to determine r, Ralph's age now.

If Ralph is 3 times as old as Sara now, then r = 3s.

Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6.  Ralph will be only twice as old as Sara will be then.  This can be represented algebraically as

r + 6 = 2(s + 6).

We now have the following system of linear equations to solve:

r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).

r - 2s = 6

r = 3s

Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6.  Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.

Ralph's current age is 18.


You might be interested in
What is a function? And is this a function?
AnnZ [28]
Y=2 yes (the slope is 0 and the y intercept is 2)
7 0
3 years ago
Which expressions are equivalent to the expression 30x^2-5x-10
choli [55]

Answer:

10 (3 x - 1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help me here i suck at algebra due tomorrow plz explain step by step my english is not very good.
Hoochie [10]
Jhshegdgdvdvdfdfefvsg

5 0
3 years ago
In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

The length of u is 7.4inches to nearest 10th of an inch

6 0
3 years ago
How do I solve this????
Arlecino [84]
Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4

so.. whatever "a" is, "b" is 5a+4

now, their sum is 22, as opposed to "zz" hehe

so       \bf \begin{cases}&#10;a+b=22\\&#10;--------------\\&#10;\boxed{b}=5a+4\qquad thus\\&#10;--------------\\&#10;a+\boxed{5a+4}=22&#10;\end{cases}

solve for "a", to see what the smaller one is

what's "b"?  well, b = 5a + 4
3 0
3 years ago
Other questions:
  • A man loses 20 percent by selling an article for 11 naira. What was the cost price of the article
    14·1 answer
  • Explain why you can use subtraction to solve a division problem
    11·1 answer
  • Choose all of the expressions that are equal to -9​
    11·2 answers
  • Pleses help me thank you
    13·1 answer
  • 13. In engineering notation, the number<br> 0.000452 is expressed as
    10·1 answer
  • Alex used his grandmother’s recipe to make
    11·1 answer
  • Can someone please explain how I find this answer so I can do it on my own??
    15·1 answer
  • Help I will give brainliest to wboever answers best​
    6·1 answer
  • Which dot plot represents this data set?
    13·2 answers
  • Help me plss im beeging
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!