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
stepan [7]
4 years ago
14

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is a0 years old. Harvey is a1 ye

ars old.
Mathematics
2 answers:
Vinvika [58]4 years ago
7 0
Harvey is 36, jane is 12

Vika [28.1K]4 years ago
7 0
Let jane = j

Harvey = 3*j = 3j

Sum = 48 years

j + 3j = 48

4j = 48

j = 48/4

j = 12

Jane, j = 12 years old

Harvey, 3j = 3*12 = 36 years old

Hope this helped.
You might be interested in
Manny wants to cover the windows in his home with either wood blinds or curtains. He has 35 windows that he would like to cover,
stepladder [879]

Answer:

x + y \leq 35\\\\100x + 60y\leq2100\\\\x\geq 0\\\\y\geq 0

Step-by-step explanation:

Call x the amount of blinds that Manny buys.

Let's call and the amount of curtains that Manny buys

There are only 35 windows, so the number of curtains and windows can not be greater than 35.

x + y \leq 35\\x\geq 0\\y\geq 0

Manny can only spend $ 2100

Then we can represent this by an inequality in the following way.

100x \leq 2100

and

60y\leq 2100

We can write this as a single inequality:

100x +60y \leq2100

Finally, the set of inequalities to model this problem is:

x + y \leq 35\\\\100x + 60y\leq2100\\\\x\geq 0\\\\y\geq 0

5 0
4 years ago
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population st
adell [148]

Answer: 0.7471

Step-by-step explanation:

Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of \mu=100 and a population standard deviation of \sigma=15.

Sample size = 50

Using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, the z-value corresponding to x=98 will be:-

z=\dfrac{98-100}{\dfrac{15}{\sqrt{50}}}\approx-0.94

Z-value corresponding to x=103 will be:-

z=\dfrac{103-100}{\dfrac{15}{\sqrt{50}}}\approx1.41

Using the standard normal distribution table for z-scores, we have

P-value = P(98

Hence, the  probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103 = 0.7471

8 0
4 years ago
If the interest is compounded continuously, what interest rate do you need for a 5000 investment to double in 10 years
velikii [3]

Answer:

rate = natural log (Total / Principal) / Years

We need 5,000 to become 10,000 in 10 years so,

rate = natural log (Total / Principal) / Years

rate = natural log(10,000 / 5,000) / 10

rate = natural log(2) / 10

rate = 0.69314718056 / 10

rate = .069314718056 which equals

rate = 6.9314718056 per cent

Source: https://www.1728.org/rate2.htm

(scroll to the bottom)

Step-by-step explanation:

5 0
3 years ago
Someone please help me
guapka [62]
Let the sides of the polygon (which is a triangle, by the way) be x, y and z.  The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.

Letting f be the scale factor,   f(18 cm) = 12 cm.  Then f=2/3.

The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.

In each case we have 3 side lengths but no angles.  We can use Heron's formula to obtain the area in each case.  Look up Heron's formula.  In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second. 

The area of the first triangle would be

A18 = sqrt( 9(9-x)(9-y)(9-z) )

whereas 

A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.

Then the ratio of the areas of the 2 triangles is

sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
  sqrt( 9(9-x)(9-y)(9-z) )

5 0
3 years ago
Examples of equivalent mixed numbers
Sloan [31]
2/4 and 1/2

5/10 and 1/2

1/3 and 2/6

40/90 and 4/9
3 0
3 years ago
Other questions:
  • It takes one super giant pizza to feed three people if you invite 36 people how many peaches will you need
    13·1 answer
  • Suppose the a mountain bike that sells for $419 is on sale for 20.5% off.
    11·1 answer
  • 1. Sarah and Emily are each saving money. Sarah starts with $50 in her savings account and adds $10 per week. Emily starts with
    5·1 answer
  • Helpppppppppppppppppppppppppppppppp
    8·1 answer
  • Thelma and Laura start a lawn-mowing business and buy a lawnmower for $225. They plan to charge $15 to mow one lawn. They would
    8·1 answer
  • In a study of red/green color blindness. 1000 men and 2800 women are randomly selected and tested Among the men. 85 have red/gre
    12·1 answer
  • Pls answer soon thx!!!!!!!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • How many solutions does (3x – 15) = x - 10 have?
    11·2 answers
  • The angle of depression of a boat from three quarters of a vertical pole is 35º. If the boat is 120 m from the foot of the pole,
    10·1 answer
  • Which of the following is the graph of f(x) = -0.5|x +3|-2?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!