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
alexandr402 [8]
3 years ago
10

The ratio of Sara and Laila age was 5:4. 2 years later their ratio is 6:5. What is their current ages?

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

  • Sara is 10 and Laila is 8

Step-by-step explanation:

  • Sara's age = s
  • Laila's age = l

<u>The ratios:</u>

  • s/l = 5/4 ⇒ s = 5l/4
  • (s + 2)/(l + 2) = 6/5 ⇒ 5(s + 2) = 6(l + 2) ⇒ 5s = 6l + 2

<u>Substitute s into the second equation and solve for l:</u>

  • 5(5l/4) = 6l + 2
  • 25l = 24l + 8
  • l = 8

<u>Fins s:</u>

  • s = 5*8/4 = 10
You might be interested in
Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,
Tresset [83]

Answer:

\boxed{y=2x^2+4x-7}

Step-by-step explanation:

Let the quadratic function be

y=ax^2+bx+c


We substitute (-4,9) into the equation to obtain;


9=a(-4)^2+b(-4)+c


\Rightarrow 9=16a-4b+c---(1)


We substitute (0,-7) to obtain;


-7=a(0)^2+b(0)^2+c


\Rightarrow c=-7---(2)


We finally substitute (1,-1) to obtain;


-1=a(1)^2+b(1)^2+c


\Rightarrow -1=a+b+c---(3)


We put equation (2) into equation (1) to get;


9=16a-4b-7


16a-4b=16


\Rightarrow 4a-b=4---(4)


\Rightarrow -1=a+b-7


\Rightarrow a+b=6---(5)


We add equation (4) and (5) to get;

4a+a=6+4



\Rightarrow 5a=10



\Rightarrow a=2


We put a=2 into equation (5) to get;


2+b=6


\Rightarrow b=6-2


\Rightarrow b=4


The reqiured quadratic function is

y=2x^2+4x-7

7 0
3 years ago
The table shows y as a function of x. Suppose a point is added to this table. Which choice gives a point that preserves the func
Hunter-Best [27]

Answer:

<em>A) (-5,7)</em>

Step-by-step explanation:

<u>Functions and Relations</u>

A set of values A can have a relation with another set B as long as at least one element of A has at least one image in B. Functions are special relations where each element of A (the domain of the function) has one and only one image on B (the range of the function).

By looking at the options, we can see that x=9, x=-8, and x=-1 already have defined values in Y, so if we define another value for any of them the relation will stop being a function. The only possible choice to preserve the function is the option

\boxed{A)\ (-5,7)}

8 0
3 years ago
The area of the triangle below is ? Sq. Units <br> A. 66<br> B . 33<br> C . 50 <br> D . 25
kykrilka [37]

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

area =  \frac{1}{2}  \times base \times height

let \: base = 22 \\ let \: height = 3

area =  \frac{1}{2}  \times 22 \times 3

area = 11 \times 3

area = 33 \:  {units}^{2}

6 0
3 years ago
Read 2 more answers
Three boxes have a total weight of 510 pounds. box a weighs twice as much as box
soldi70 [24.7K]
Work shown above! Box a is 240 lbs Box b is 120 and Box c is 150 lbs hope this helps c:

3 0
3 years ago
What is the hypotenuse of a triangle
Reil [10]
When it's a right triangle, its the long piece that isn't a part of the legs of the right angle.

5 0
3 years ago
Other questions:
  • The measure of two supplementary angles are 12q-9 and 8q+14 find the measures of the angles
    9·1 answer
  • 1.The experimental probability that an SUV will pass by Matthew's store is 0.4. If 500 cars pass by Matthew’s store, how many ca
    9·1 answer
  • Which set of polar coordinates describes the same location as the rectangular coordinates (4,-4)
    15·2 answers
  • A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond h
    7·1 answer
  • What is the the area of the triangle in the composite figure above?
    5·1 answer
  • I need help with (e) please
    12·2 answers
  • Two numbers have a difference of 28. If the sum of the squares of the numbers is
    9·1 answer
  • HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)
    13·1 answer
  • Solve for X<br><br> Please help
    10·1 answer
  • 40.75 in word form. ​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!