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
Vlada [557]
3 years ago
11

Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary’s age. Create and inequalit

y for this situation
Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Let the two ages be j and m, respectively.  Then j+m>32.

Solving for Mary's age, we get   m > 32 - j.  Because j = m + 2, m > 32 - (m+2).

Continue solving for m:  Adding m to both sides of this inequality results in

2m > 32 - 2.  Then 2m > 30, and m > 15.  Mary's age is greater than 15.

You might be interested in
Negative two and one-fourth divded by negative one and one-half
Bond [772]

Answer:

The answer is 3/2 or 1 1/2

Step-by-step explanation:

First, you have to make it as a improper fraction :

- 2 \frac{1}{4}

=   - \frac{( 2 \times 4) + 1}{4}

=  -  \frac{9}{4}

- 1 \frac{1}{2}

=  -  \frac{(1 \times 2) + 1}{2}

=  -  \frac{3}{2}

Next, you can divide it by cutting out the common factor :

-  \frac{9}{4}  \div  -  \frac{3}{2}

=  -  \frac{9}{4}  \times -   \frac{2}{3}

=   - \frac{  3}{2}  \times  - 1

=  \frac{3}{2}

= 1 \frac{1}{2}

3 0
3 years ago
Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switc
s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent​ switches, each one set on or off. The receiver​ (wired to the​ door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches​ independently.<u>The probability of at least one pair of neighbors using the same​ settings is 0.65633</u>

Step-by-step explanation:

<u>Step 1</u>

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent​ switches

<u>So .the number of Combinations possible with the Transmitters </u>=

2*2*2*2= 16

<u> Step 2</u>

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

<u> Step 3</u>

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

<u> Step 4</u>

<u>So the probability of at least </u>one pair of neighbors using the same settings

is  0.65633

3 0
3 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 18 miles per hou
blagie [28]

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104


Eastbound Train: 86mph

Westbound Train: 104mph

3 0
2 years ago
Expand each expression and collect like terms -3(2p-3q)
sertanlavr [38]

Answer

(-3 * 2p) - (-3 * 3q)

Step-by-step explanation:

I dunno how to explain it but that's it

7 0
2 years ago
Solve this equation with substitution method :-<br> x+5 = 3 (y+5)<br> x-5 = 7 (y-5)
Damm [24]
From the first equation,
x+5 = 3(y+5)
x = 3y + 15 - 5
Now substitue x in the second equation with (3y +15 - 5).
x-5 = 7(y-5)
(3y+15-5) - 5 = 7(y-5)
3y +5 = 7y - 35
-4y = - 40
y = 10

Since y is 10, and x is (3y +15 - 5),
x = 30 + 15 - 5 = 40
5 0
2 years ago
Other questions:
  • Perimeter of a triangle with side lengths 2x, (3x-1) and (4x+5)?
    13·1 answer
  • Icon" to view the SpeechStream® loolbar article for
    6·1 answer
  • Find two consecutive whole numbers that square root 86 lies between.
    12·2 answers
  • The gcf of 8x and 22xy
    12·1 answer
  • What lies on the locus of points that is equidistant from Meg’s house and Lee’s house?
    14·1 answer
  • Use the law of sines to find the length of side c.
    6·1 answer
  • Can someone please help me it would mean so much
    13·1 answer
  • Can someone solve please , ill give Brainly to whoever is first.
    15·1 answer
  • I tried to solve it but I still don't get it
    13·1 answer
  • What is the value of x? <br> Will brainlist first correct answer
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!