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Alex787 [66]
4 years ago
14

the sum of 3 decimal numbers is 6. Exactly one of the numbers is less than 1 what could those numbers be.

Mathematics
1 answer:
kati45 [8]4 years ago
3 0
There are infinitely many solutions to this problem (which is why it asks what could those numbers be), so you just have to make one up!

Start with the first sentence.
x + y + z = 6.0

Now one of those numbers has to be less than 1. I'll choose x. And I'll choose a random number, say, 0.7.

0.7 + y + z = 6.0

Now I'll subtract 0.7 from both sides to see what y and z have to add up to.

0.7 + y + z - 0.7 = 6.0 - 0.7
y + z = 5.3

Now I'll choose a random number for y that's less than 5.3.

2.6 + z = 5.3

And subtract 2.6 from both sides to find z.

2.6 + z - 2.6 = 5.3 - 2.6
z = 2.7

And now we have our numbers!
x = <u>0.7</u>
y = <u>2.6</u>
z = <u>2.7</u>
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The grocery store where Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid tim
Charra [1.4K]

Answer:

$289.25

Step-by-step explanation:

First we should find out how much Ms. Maple would make in a week without overtime.

6.5 x 40 = 260

Now, let's figure out how much she makes per hour in overtime.

6.5 x 1.5 = 9.75

Now add up the hours of overtime.

9.75 x 3 = 29.25

Now we add the weekly wage to the overtime

260 + 29.25 = 289.25

For 40 hours of regular time at $6.50/hr and 3 hours of overtime at $9.75/hr, Ms. Maple will make $289.25 for the week.

7 0
3 years ago
Solve for p-1=5p+3p-8
kifflom [539]
P-1 = 5p+8p-8
p-1 = 13p-8 (collect like terms)
p+7 = 13p (add 8 to both sides)
7 = 12p (minus p from both sides)
7/12 = p (divide both sides by 12)
p = 7/12
6 0
4 years ago
Read 2 more answers
Solve x -9 = 8 HELP!!!!! I am dead over here help me!!!!
kumpel [21]

Answer:

x=17

Step-by-step explanation:

x-9=8

add nine on both sides

x-9+9=8+9

the nines on the side with the x cancel each other

x=17

3 0
3 years ago
Simplify:<br> 2(-3x – 6)<br> -6x + 12<br> A<br> B<br> -62 – 12<br> -6.3 4<br> sh<br> D-60 - 8
patriot [66]

Answer:

-12x

Step-by-step explanation:

2(-3x - 6) -6x +12

-6x - 12 -6x +12

-12x

your welcome

5 0
3 years ago
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
BaLLatris [955]

The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.

Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get

{P}_{n} =284\cdot {1.04}^{n}P

n

=284⋅1.04

n

We can find the number of years since 2013 by subtracting.

\displaystyle 2020 - 2013=72020−2013=7

We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.

\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P

7

=284⋅1.04

7

≈374

The student population will be about 374 in 2020.

5 0
3 years ago
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