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Hoochie [10]
3 years ago
8

Which of the following is the solution to |-2x-15|≤7

Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

Step-by-step explanation:

C. -11<x<-4

|-2x-15|<7 split into possible cases

- 2x - 15 < 7, - 2 x - 15 > 0

-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities

x>-11, x < -15/2

x< -4, x> -15/2 Find the intersections

[ -11, -15/2 ]

-15/2, -4]  Find the union

[-11, -4 ] Simplify

-11<x<-4

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A machine produces 576 units in 18 hours at this rate how many will it produce in 28 hours
olga2289 [7]

Answer: 896

Step-by-step explanation:

Let's use a rule of three here.

\frac{576}{x}=\frac{18}{28}

Solve for x;

x=\frac{576*28}{18}

x=896

4 0
3 years ago
. William fills 1/3 of a water bottle in 1/6 of a minute. How much time will it
Alex Ar [27]

Answer:

It will take him

\frac{1}{2}

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Step-by-step explanation:

I'm really not sure this is right but..

we can solve using proportions. Cross-multiply and divide.

\frac{ \frac{1}{3} of \: a \: water \: bottle}{\frac{1}{6} minute} \:  =  \frac{ \frac{3}{3} of \: a \: water \: bottle}{x}  \\  \\  \frac{ \frac{1}{6} }{ \frac{1}{3} }  =  \frac{ \frac{1}{3} x}{ \frac{1}{3} }  \\  \\  \frac{1}{2}  = x

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3 years ago
HELP DUE IN 10 MINUTES WILL GIVE BRAINLEST!!
Pachacha [2.7K]

y-intercept: (0, 7)

x-intercept: (-\frac{7}{4},0)\\

5 0
2 years ago
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What is the difference between the absolute value of 4 and the absolute value of -3?
larisa86 [58]
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7 0
3 years ago
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In a group of 42 students, 9 study both Art and Biology.
LUCKY_DIMON [66]
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
3 0
2 years ago
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