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
ira [324]
3 years ago
6

Mr. Morgan has five daughters. They were all born the number of years apart as the youngest daughter is old. The oldest daughter

is 12 years older than the youngest. What are the ages of Mr. Morgan's daughters?
Mathematics
2 answers:
Artyom0805 [142]3 years ago
5 0
Their ages  are x, 2x, 3x, 4x, 5x.

The oldest is 16 years older than the youngest. There are 5 daughters.

<span>5x-x=16.   4x=16   x=4 
</span>
Their ages are 4 , 8 , 12    ,16    , 20
kompoz [17]3 years ago
5 0
X, 2x, 3x, 4x, 5x

5x - x = 12

x = 3

The youngest is 3 and the oldest is 15.

The ages are: 3, 6, 9, 12, 15
You might be interested in
A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have
arsen [322]

The lowest grade that student could get is a 91 or higher

7 0
3 years ago
Bill has enough money to buy no more than 1/2 pound of cheese. How much cheese could he buy?
Zepler [3.9K]
1/2 I guess I don't  think you typed in the question correctly. Not trying to be mean.
3 0
3 years ago
Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
3 years ago
Find the numerical value of one trigonometric function of x if sinxcotx=1/3
san4es73 [151]

\bf sin(x)cot(x)=\cfrac{1}{3}\implies ~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ \cfrac{cos(x)}{~~\begin{matrix} sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}=\cfrac{1}{3}\implies cos(x) = \cfrac{1}{3} \\\\\\ x = cos^{-1}\left( \cfrac{1}{3} \right)\implies x \approx 70.53^o

4 0
3 years ago
Convert 35 ml to cubic centimeters
I am Lyosha [343]

Step-by-step explanation:

35ml =35 cm³

hope it helps u

3 0
2 years ago
Read 2 more answers
Other questions:
  • An item selling for $1102 is reduced to $806. To the nearest whole, what is the percent decrease?
    13·2 answers
  • One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the perimeter
    9·1 answer
  • Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form)
    9·1 answer
  • Help a black brother out
    6·2 answers
  • jill is thinking of a new password for her phone. She wants to use the numbers 7, 1, and 8. How many different passwords could s
    7·1 answer
  • Find the surface area of a sphere that has a volume of 288 cu. in.
    13·1 answer
  • Solve the problem for (x+6)+(x+6)=5x-6 ?
    7·1 answer
  • Will be giving brainliest to whoever can answer this question
    7·1 answer
  • Simplify the expression:<br><br> 3(1 + 5x) =
    9·1 answer
  • What is the mean mark of 847 ÷ 30?<br>​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!