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
Romashka-Z-Leto [24]
3 years ago
15

In 4 years, sravani will be 3 times as old as Makayla is currently. three years ago, sravani was 4 times as old as Makayla was t

hen. what are both of their resent ages?
Mathematics
1 answer:
77julia77 [94]3 years ago
3 0
X - Sravani
y - Makayala

x+4=3y\\
x-3=4(y-3)\\\\
x=3y-4\\
x=4y-12+3\\\\
x=3y-4\\
x=4y-9\\\\
3y-4=4y-9\\
4y-3y=-4+9\\
y=5\\\\
x=3\cdot5-4\\
x=15-4\\
x=11

Sravani - 11
Makayla - 5
You might be interested in
Party trays, which cost $14.00 to make not including labor, are sold for $35.00. If two people work 8-hour shifts making the tra
umka21 [38]

Answer:

5.33 trays must be sold to cover all costs including labor...

Step-by-step explanation:

We have given:

Party trays, which cost $14.00 to make not including labor, are sold for $35.00.

Profit on party trays excluding labour cost = $35 - $14 = $21

Now we will find total labor cost for making party tray for a day

Total labor hours * wages per hour* No. of labors

= $7 * $8*2

= $112

Therefore to find how many trays must be sold to cover all costs including labor just divide total labour cost for making party tray for a day by profit on party trays excluding labour cost.

= $112/$21

= 5.33

It means 5.33 trays must be sold to cover all costs including labor...

4 0
3 years ago
Read 2 more answers
Please help with these partial fractions!!!
VARVARA [1.3K]

a. Factorize the denominator:

\dfrac{x+14}{x^2-2x-8}=\dfrac{x+14}{(x-4)(x+2)}

Then we're looking for a,b such that

\dfrac{x+14}{x^2-2x-8}=\dfrac a{x-4}+\dfrac b{x+2}

\implies x+14=a(x+2)+b(x-4)

If x=4, then 18=6a\implies a=3; if x=-2, then 12=-6b\implies b=-2. So we have

\dfrac{x+14}{x^2-2x-8}=\dfrac3{x-4}-\dfrac2{x+2}

as required.

b. Same setup as in (a):

\dfrac{-3x^2+5x+6}{x^3+x^2}=\dfrac{-3x^2+5x+6}{x^2(x+1)}

We want to find a,b,c such that

\dfrac{-3x^2+5x+6}{x^2(x+1)}=\dfrac ax+\dfrac b{x^2}+\dfrac c{x+1}

Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant b' such that the numerator of the second term is b'x+b. We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining b'=0 anyway.

\implies-3x^2+5x+6=ax(x+1)+b(x+1)+cx^2

If x=0, then b=6; if x=-1, then c=-2. Expanding everything on the right then gives

-3x^2+5x+6=ax^2+ax+bx+b+cx^2=(a-2)x^2+(a+6)x+6

which tells us a-2=-3 and a+6=5; in both cases, we get a=-1. Then

\dfrac{-3x^2+5x+6}{x^2(x+1)}=-\dfrac1x+\dfrac6{x^2}-\dfrac2{x+1}

as required.

5 0
4 years ago
A teacher is writing an exam with 60
Mumz [18]
20 is the answer your welcome you will get it right don’t worry
7 0
3 years ago
What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…?
marta [7]
<span>-18, -13, -8, -3,…
-18 + 5 = -13
-13 + 5 = -8
-8 + 5 = -3
-3 + 5 = 2
2 + 5 = 7
7 + 5 = 12

Therefore, the next three terms are 2, 7, 12
</span>
3 0
3 years ago
Add. 18 5/12 + 8 10/17 + 23 7/12 + 28 7/17 (Which answer is it?) A. 77 B. 77 1/2 C. 78 1/2 D. 79
tatiyna

the answer is 18 5/12 + 8 10/17 + 23 7/12 + 28 7/17= A.77

4 0
4 years ago
Read 2 more answers
Other questions:
  • Which equation represents the partial sum of the geometric series?
    14·2 answers
  • I need help please!!!
    9·2 answers
  • The graph of (6-4x)^2/2x^2-5x+12 has a horizontal asymptote at y =
    13·2 answers
  • 2<br> y=x -6x +12 in vertex form
    12·1 answer
  • What is the hypotenuse of a right triangle if the legs are each 20 inches long? Round to the nearest whole number. A. 28 B. 29 C
    5·2 answers
  • Which relation is a function?
    14·1 answer
  • What is the image of the point (6,-9) after a rotation of 270 counterclockwise about the origin?
    14·1 answer
  • Simon is buying a sofa for $995. If he makes a down payment of 15% of the selling price, the furniture store will allow him to p
    13·1 answer
  • Find a POSITIVE and NEGATIVE co-terminal angle for<br> -19(pie)/8
    13·1 answer
  • Please answer as directed. Thanks
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!