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fenix001 [56]
3 years ago
10

Find the absolute value of 2 and 2 3rd and negative 9 over 4

Mathematics
1 answer:
gayaneshka [121]3 years ago
6 0

we are given

absolute value of 2 and 2 3rd and negative 9 over 4

Firstly , we need write it in terms of expression

2 and 2 3rd is

2+\frac{2}{3}

so, we get as

|2+\frac{2}{3} -\frac{9}{4} |

now, we can simplify it

Firstly , we will find common denominator

|\frac{2*12}{1*12} +\frac{2*4}{3*4} -\frac{9*3}{4*3} |

|\frac{24}{12} +\frac{8}{12} -\frac{27}{12} |

we can see that

all denominators are same

so, we can combine numerators

=|\frac{24+8-27}{12}  |

=|\frac{5}{12}  |

=\frac{5}{12}..............Answer

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Pamela's age is two times Jiri's age. The sum of their ages is <br> 33<br> . What is Jiri's age?
notka56 [123]
Let x is Jiri's age
2x is Pamela's age

x + 2x = 33
3x =33
x = 33/3
x =11
Answer: Jiri's age is 11
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3 years ago
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Margaret [11]

Step-by-step explanation:

2x2 is 4 4x4 is 16 16x1 is 16

3 0
2 years ago
The mean speed of vehicles along a stretch of highway is 56 mph with a standard deviation of 4 mph. You
Elenna [48]

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

<h3>Z score</h3>

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma }

Where x is raw score, μ is mean, σ is standard deviation

Given that:

σ = 4, μ = 56, hence

for x = 62:

z=\frac{62-56}{4 } =1.5

for x = 47:

z=\frac{47-56}{4 } =-2.25

for x = 56:

z=\frac{56-56}{4 } =0

The corresponding z score for speed of 62 mph, 47 mph, and 56 mph is 1.5, -2.25 and 0 respectively.

Find out more on Z score at: brainly.com/question/25638875

4 0
2 years ago
Solve for a.<br> a^2=-3a+88
Sergio [31]

Answer:

a=8,-11

Step-by-step explanation:

a^2=-3a+88

a^2+3a=88

a^2+3a-88=0

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-3\pm\sqrt{3^2-4(1)(-88)} }{2(1)}

x=\frac{-3\pm\sqrt{9+352} }{2}

x=\frac{-3\pm\sqrt{361} }{2}

x=\frac{-3\pm19 }{2}

x=-11 and x=8

Therefore, the values of a are 8 and -11.

5 0
2 years ago
The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
Eddi Din [679]

Answer:

Option D) F

Step-by-step explanation:

we have

y < -2x+10 -----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=-2x+10

The y-intercept of the dashed line is (0,10)

The x-intercept of the dashed line is (5,0)

y < \frac{1}{2}x-2 ----> inequality B  

The solution of the inequality B is the shaded area below the dashed line y=\frac{1}{2}x-2

The y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (4,0)

The solution of the system of inequalities is the shaded area between the two dashed lines

see that attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

therefore

The solution are the points

E, F and G

8 0
3 years ago
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