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serious [3.7K]
3 years ago
10

Susan, Chang, and Henry sent a total of 127 text messages over their cell phones during the weekend. Chang sent 3 times as many

messages as Henry. Henry sent 7 fewer messages than Susan. How many messages did they each send?
Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

c = 72, h = 24, s = 31

Step-by-step explanation:

You can derive the following equations from the text:

s+c+h=127

c=3h

h=s-7

Solving them yields above answer.

You might be interested in
If $580 is invested in an account which earns 9% interest compounded annually, what will be the balance of the account at the en
joja [24]
The formula for compounded interest is A = P (1+r/n)^nt.
P=580 
r = .09
n = 1
t = 9
<span>
To find how much the balance is at the end of nine years, plug in all of the knows into the formula.</span>
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).



8 0
3 years ago
John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the lo
poizon [28]

Answer and explanation:

Profit from sale of model boats = Sales -costs(costs of goods purchases + expenses or charges by the local fair)

John's profit from the sale of model boats can be represented by the equation:

P= 50x-(5x+80)

Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.

For example if John buys and sells 20 model boats, he would make profit of:

Substitute x=20 in equation above

P= 50×20-(5×20+80)

P=1000-180

P=$820

It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit

7 0
3 years ago
Alfonso makes $8.00 per hour working at a movie theater and $12.00 per hour working at a restaurant. Next week, Alfonso is sched
aksik [14]
(8 x 6) 8h =144
48+ 8h=144
144-48= 96
8h=96
96 divided by 8= 12
So he should have to work 12 hours at the restaurant. Hope this helps and sorry if it’s wrong!
8 0
3 years ago
Read 2 more answers
In ΔOPQ, o = 9.2 cm, p = 2.4 cm and ∠Q=37°. Find the length of q, to the nearest 10th of a centimeter.
storchak [24]

The length of q, to the nearest 10th of a centimeter is 7.6 cm.

Given in question,

In ΔOPQ,

o = 9.2 cm

p = 2.4 cm

∠Q = 37°

Cosine formula ⇒ cos θ = \frac{o^{2}+p^{2}-q^{2}  }{2op}

Putting the values in equation,

       cos 37 = \frac{(9.2)^{2}+(2.4)^{2}-q^{2}  }{2*9.2*2.4}

         0.799 = \frac{84.64 + 5.76-q^{2} }{44.16}

0.799*44.16 = 90.4 - q^{2}

         32.28 = 90.4 - q^{2}

                q^{2} = 90.4 - 32.28

                q^{2} = 58.12

                 q = \sqrt{58.12}

                 q = 7.63

q = 7.6 cm (to nearest 10th)

Hence, length of q is 7.6 cm.

Learn more about length on:

brainly.com/question/8552546

#SPJ1

3 0
1 year ago
Would You RATHER...Make $50,000 per year(everyone around you makes $25,000 per year)ORMake $100,000 per year24everyone around yo
faltersainse [42]

Answer:

I would rather make $50,000 per year(everyone around you makes $25,000 per year)

Step-by-step explanation:

I would because otherwise, everyone would be making $100 more than me I would rather make $25 more than them

6 0
3 years ago
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