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
Jet001 [13]
3 years ago
13

4. One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now?

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
8 0

x = the age of Heather

One half of Heather's age two years from now plus one-third of her age three years ago is twenty years

(x + 2)/2 + (x - 3)/3 = 20

by solving the equation we find

x = 24 years

You might be interested in
What is 88% of 250? I really need help with this!
Aneli [31]
220 .............................
8 0
3 years ago
Read 2 more answers
Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now about 20% of its adult weight. What will be the ad
Mamont248 [21]

Answer:29.7

Step-by-step explanation:

30/100

9 x 3/10

90/1 x 10/3 = 90

90 divided by 30 is 30

4 0
3 years ago
CORRECT ANSWER: BRAINLIEST
Ray Of Light [21]

Answer:

I think that there are 4 roads.

6 0
3 years ago
Read 2 more answers
Compute the surface area of the portion of the sphere with center the origin and radius 4 that lies inside the cylinder x^2+y^2=
Tom [10]

Answer:

16π

Step-by-step explanation:

Given that:

The sphere of the radius = x^2 + y^2 +z^2 = 4^2

z^2 = 16 -x^2 -y^2

z = \sqrt{16-x^2-y^2}

The partial derivatives of Z_x = \dfrac{-2x}{2 \sqrt{16-x^2 -y^2}}

Z_x = \dfrac{-x}{\sqrt{16-x^2 -y^2}}

Similarly;

Z_y = \dfrac{-y}{\sqrt{16-x^2 -y^2}}

∴

dS = \sqrt{1 + Z_x^2 +Z_y^2} \ \ . dA

=\sqrt{1 + \dfrac{x^2}{16-x^2-y^2} + \dfrac{y^2}{16-x^2-y^2} }\ \ .dA

=\sqrt{ \dfrac{16}{16-x^2-y^2}  }\ \ .dA

=\dfrac{4}{\sqrt{ 16-x^2-y^2}  }\ \ .dA

Now; the region R = x² + y² = 12

Let;

x = rcosθ = x; x varies from 0 to 2π

y = rsinθ = y; y varies from 0 to \sqrt{12}

dA = rdrdθ

∴

The surface area S = \int \limits _R \int \ dS

=  \int \limits _R\int  \ \dfrac{4}{\sqrt{ 16-x^2 -y^2} } \ dA

= \int \limits^{2 \pi}_{0} } \int^{\sqrt{12}}_{0} \dfrac{4}{\sqrt{16-r^2}} \  \ rdrd \theta

= 2 \pi \int^{\sqrt{12}}_{0} \ \dfrac{4r}{\sqrt{16-r^2}}\ dr

= 2 \pi \times 4 \Bigg [ \dfrac{\sqrt{16-r^2}}{\dfrac{1}{2}(-2)} \Bigg]^{\sqrt{12}}_{0}

= 8\pi ( - \sqrt{4} + \sqrt{16})

= 8π ( -2 + 4)

= 8π(2)

= 16π

4 0
3 years ago
ത്രം<br> What’s the answer
musickatia [10]
What’s the answer is the answer
8 0
3 years ago
Read 2 more answers
Other questions:
  • Combine the like terms to make a simpler expression: 5n+6+(-7n)<br> plz hurry
    8·2 answers
  • What is the 8th term of this geometric sequence 3 6 12 24
    6·1 answer
  • The answer or what measurements I need to multiply?
    10·1 answer
  • What is the mean of this data set? 6,7,2,1,5,2,1,6 PLEASE ANSWER FAST!!!!!!!!!!! 50 POINTS!!!
    12·2 answers
  • Sam is filling up his pool. The water hose filled the 315 gallon pool in 45 minutes. At what rate did the hose fill the pool in
    9·2 answers
  • The figure shows three exterior angles of triangle ABC. Show that the measure of angle 1 plus the measure of angle 2 plus the me
    6·2 answers
  • Identify an equation in slope-intercept form for the line parallel to y=-3x+7
    5·1 answer
  • Alison has 63 books on her bookshelf. If she plans on donating % of her books, how many will Alison have left on her bookshelf?​
    5·2 answers
  • Do this yaayayyayaya brainliest for all thanks so much!!
    6·1 answer
  • For questions 6 – 10, find the unknown side length. number 10
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!