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ahrayia [7]
3 years ago
11

Rebecca's father is 2 times as old as Rebecca. The sum of their ages is no less then 69. Find an inequality that can be used to

represent the situation.
A) x+2x>69
B) x+2x<69
C) x+2x≤69
D) x+2x≥69
Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0
D) x+2x≥69
Rebecca's age plus her father's (Rebecca's times two) must be equal to or more than 69. 
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Round to the nearest hundredth : 3.2649
Bas_tet [7]

Answer:

3.26

Step-by-step explanation:

Rounding to the nearest hundredth means round to the nearest two decimal places.

To do this, all we need to look at is the 3rd decimal place.

Since 4 is not 5 or greater, that means we must round down, no matter how close it is to 5.

Therefore, the answer should just be 3.26

3 0
3 years ago
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Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma
Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$

a). So, $n(A \cup B) = n(A) +n(B) - n(A \cap B)$

                     = 311 + 243 - 135

                     = 419

b). n(A only) = 311 - 135

                   = 176

     n(B only) = 243 - 135

                   = 108

Exactly one of these two courses

  $=\frac{176+108}{500}$

  = 0.568

c). Neither economics nor mathematics

    $=\frac{500-419}{500} $

  $=\frac{81}{500}$

 = 0.162

7 0
3 years ago
What is the rate of change for the sequence shown below. (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
Nataly [62]

Answer:

0.5

Step-by-step explanation:

The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)

The corresponding sequence is :

2,2.5,3,3.5, 4,....

We can see that there is a common difference of d=0.5.

Better still we could use the slope formula:

m =  \frac{y_2-y_1}{x_2-x_1}

We substitute the point (1,2) and (2,2.5).

The rate of change of this sequence is:

m =  \frac{2.5 - 2}{2 - 1}  =  \frac{0.5}{1}  = 0.5

5 0
3 years ago
HELP MEH PLS! Will mark brainliest :3<br> Simplify it- don't solve it. Show your work too pls!
Ksju [112]

Answer:

Step-by-step explanation:

(1/5k)^2=1/5^2*k^2

1/25*k^2=\frac{k^2}{25}

6 0
3 years ago
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For each day enter the number of hours worked. Use the format shown in Model 1 and answer in terms of a reduced fraction.
natulia [17]
It is often easiest to use "military time". That is, add 12 to all the afternoon numbers and do the subtraction in the usual way. Of course, 1 hour = 60 minutes, so 10 minutes = 10/60 hour = 1/6 hour.

Mon: 15:10 -8:00 = 7:10 = 7 1/6

Tue: 15:25 -8:05 = 7:20 = 7 1/3

Wed: 14:30 -8:00 = 6:30 = 6 1/2

Thur: 14:45 -7:55 = 7:(-10) = 6:50 = 6 5/6

Fri: 15:38 -7:58 = 8:(-20) = 7:40 = 7 2/3

_____
Some calculators have nice features for working with degrees, minutes, and seconds. In this context, degrees and hours are the same thing. That is, the base-60 arithmetic is the same whether you consider the numbers to be hours or degrees. Similarly, some calculators convert nicely between decimal fractions and mixed numbers. In short, a suitable calculator will almost do this math for you. (You just need to add 12 to all the numbers in the column on the right.)
3 0
3 years ago
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