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
Alex17521 [72]
3 years ago
15

Hannah is 2 times her sister’s age. The sum of their ages is no more than 18 years. 1) Write an inequality that can be used to r

epresent this situation. 2) Using the inequality you just found, solve it to find the oldest age Hannah's sister can be.
Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

1) x+2x\leq 18.

2) 6 years

Step-by-step explanation:

Let Hanna's sister be x years old.


Then Hanna will be 2x years old.


The sum of their ages will be x+2x years.

The statement "no more than 18" means the sum of their ages is less than or equal to 18.

The required inequality is;

x+2x\leq 18.

2)

The inequality we just found is


x+2x\leq18.

We simplify to get;

3x\leq 18.

we divide both sides by 3 to get;

x\leq 6.

Therefore the oldest age Hannah's sister can be is 6 years




You might be interested in
A club had some money to purchase new chairs. After buying 355 chairs at $199 each, there was $1,068 remaining. How much money d
Bumek [7]

Answer:

<h2><u><em>$71,713</em></u></h2>

Explanation:

  • Find The Total Cost Of The 355 Chairs
  • 355 Chairs - $199 Per Chair

355 · 199 = $70,645

  • Club Spent $70,645 And Had $1,068 Remaining

$70,645 + $1,068 = $71,713

<h2><em><u>The Club Had $71,713 At First</u></em></h2>

- PNW

7 0
3 years ago
I need help with these two equations
Ivan

for these you need to rearrange the equations and do substitutions.

 #3 = if x+y=5 then you know x = 5-y

 now substitute that equation for x in the 2nd one so x + 2y = 8 becomes

5-y + 2y = 8 2y - y becomes 1y which becomes y then subtract 5 from each side to get y =3

now replace y with 3 in the first equation x = 5-3 so x = 2 

 so (2,3) is the answer


 same type of work for #4

2x-y=6 ,S0 y = 2X+6

 so now you have 4x+2(2x+6)=-4

that becomes 4x +4x+12 = -4

8x+8 = 1, x =1

y = 2(1)-6 = -4

 so answer is (1,-4)

7 0
3 years ago
mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw ma
Aneli [31]
First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: r= \frac{c^2}{8m} + \frac{m}{2}
where 
c is the length of the chord 
m is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so c=52 and m=6. Lets replace those values in our formula:
r= \frac{52^2}{8(6)} + \frac{6}{2}
r= \frac{2704}{48} +3
r= \frac{169}{3} +3
r= \frac{178}{3}

Next, to find the minimum speed, we are going to use the formula: s= \sqrt{15fr}
where
f is <span>drag factor
</span>r is the radius 
We know form our problem that the drag factor is 0.2, so f=0.2. We also know from our previous calculation that the radius is \frac{178}{3}, so r= \frac{178}{3}. Lets replace those values in our formula:
s= \sqrt{(15)(0.2)( \frac{178}{3}) }
s= \sqrt{178}
s=13.34 mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour. 
8 0
3 years ago
I need help on this its 7th grade math
icang [17]

Answer:

b

Step-by-step explanation:

$5.28 for 3 corn (divide)

the rate per corn is 1.76 ($1.76 for each corn)

the x value is the amount of corn and the y value represents the price for the amount of corn. If you multiply each x value by 1.76 only one will equal the given y value

8 0
2 years ago
Write y-6=-2x in slope intercept form
Vera_Pavlovna [14]

Slope:  2

Y-Intercept:   6

2,6

8 0
3 years ago
Read 2 more answers
Other questions:
  • The ages of some lectures are 42,54,50,54,50,42,46,46,48 and 48.Calculate the:
    14·1 answer
  • 5^-2 written as a positive exponent
    15·1 answer
  • HELP ITS DuE tomorrow idk how to do thisk
    14·1 answer
  • juanita covered the outside of a gift box shaped like a rectangular prism with the paper .The box is 3.2 feet long and 2.1 feet
    10·1 answer
  • How much more is 4.258 thank 2.012 round to 3 decimal
    13·1 answer
  • What are 3quivalent fractions for 9/2?
    9·1 answer
  • What is the improper fraction of 17/2
    9·2 answers
  • What is the Product of 2+√-121 And 3+√-64? Must be written as a complex number in standard form.​
    5·1 answer
  • 49 to the nearest integer
    9·1 answer
  • Which term describes the figure? Choose 1 answer: Parallel lines Perpendicular lines None of the above​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!