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katen-ka-za [31]
3 years ago
14

Mary logged into work at 8:10 am and logged out at 3:45 pm. How many hours did she work? (Her employer rounds to the nearest qua

rter hour.)
1.8

2.7 1/2

3.7 3/4

4.8 1/4
Mathematics
1 answer:
Nataly [62]3 years ago
8 0
I'm assuming your answers are listed as 1 through 4, not decimals.
You simply take 12 - 8 = 4, but ten min. less than that, so 3 hr, 50 min. then add 3 hr 45 min, totaling 7 hr 35 min. , which is closest to 7 and 1/2 hours, the second option.
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Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√
PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12

12 is a rational number.

Second expression is

\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}

4\sqrt{3} is an irrational number.

Third expression is

7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21

21 is a rational number.

Fourth expression is

\sqrt{5}\cdot \sqrt{5}=5

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

4 0
3 years ago
A cross-country team had a total of 10 practices last week, with each practice being in the morning or the afternoon. During eac
GalinKa [24]

x= morning

y = afternoon

 x + y = 10

x=10-y

5x + 6y =57

5(10-y) +6y =57

50-5y +6y =57

y=7

x=10-7 =3

 check 3*5 = 15, 7*6 = 42, 42 + 15 = 57


3 morning practices

3 0
3 years ago
The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32
Vilka [71]

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

4 0
3 years ago
Last year mrs Bowen's read 289 books. Mrs Jackson's class read 315 book. About how many books did both classes read?
vaieri [72.5K]

Answer:

604

Step-by-step explanation:

add them together using collum method

6 0
3 years ago
Indicate the method you would use to prove the two Δ's ≅ . If no method applies, enter "none".
slavikrds [6]

Here is your answer

SSS

REASON:

SSS congruency states that, if all the three sides of a triangle are respectively equal to the corresponding sides of another triangle then both triangles are said to be congruent.

Here, in both triangles

7units=7 units

8units=8units

Middle side is common to both triangles so it is equal.

Hence, both triangles are congruent by SSS

HOPE IT IS USEFUL

7 0
3 years ago
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