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Deffense [45]
3 years ago
15

Simplify negative 5 and 1 over 6 − negative 8 and 1 over 2

Mathematics
1 answer:
Tomtit [17]3 years ago
4 0

Answer:

Hi there!

Your answer is;

17/6 <em><u>OR</u></em> 2 & 5/6

Step-by-step explanation:

(-5+1)/6 - (-8+1)/2

First, simplify in parentheses!

-4/6 - -7/2

Next, change the symbol of 7/2 because two negatives make a positive!

-4/6 +7/2

Next, change the denominators so they both have the same

-4/6 + 7/2

× 3/3

-4/6 + 21/6

Simplify!

17/6

<u>OR</u>

2 & 5/6

Hope this helps

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On Monday 430 students went on a trip to the zoo all 9 buses were filled and seven students had to travel in cars how many stude
tankabanditka [31]

Answer: 47 students

Step-by-step explanation:

430 students went on a trip with the majority of them going on buses.

7 students however, had to use cars.

The number of students who used buses are:

= 430 - 7

= 423 students

The number of students in each bus is:

= No. of students taking buses / no. of buses

= 423 / 9 buses

= 47 students

7 0
3 years ago
In each diagram shown below, solve for the length of side CD using the information given. Show the trig ratio you use and your a
pishuonlain [190]

Applying the trigonometry ratios, we have:

a. CD = 63.6

b. CD = 33.8

c. CD = 16.1

d. CD = 15.9

<h3>What are the Trigonometry Ratios?</h3>

The trigonometry ratios are used to find a length or angle in any right triangle. They are:

  • SOH, which is sin ∅ = opp/hyp
  • CAH, which is cos ∅ = adj/hyp
  • TOA, which is tan ∅ = opp/adj

a. ∅ = 32°

hyp = 75

adj = CD

Apply CAH:

cos 32 = CD/75

CD = cos 32 × 75

CD = 63.6

b. ∅ = 56°

opp = 28

hyp = CD

Apply SOH:

sin 56 = 28/CD

CD = 28/sin 56

CD = 33.8

c.  ∅ = 43°

opp = 15

adj = CD

Apply TOA:

tan 43 = 15/CD

CD = 15/tan 43

CD = 16.1

d.  ∅ = 27°

hyp = 35

opp = CD

Apply SOH:

sin 27 = CD/35

CD = sin 27 × 35

CD = 15.9

Learn more about the trigonometry ratios on:

brainly.com/question/10417664

4 0
2 years ago
-3x+4y<br> greater than equal to 15
QveST [7]
Depending on if you're solving for X or Y:

X less than or equal to 4y/3 -5

Y greater than or equal to 3x/4+15/4
8 0
3 years ago
Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On
JulijaS [17]

Given:

She is required to read a total = 10\dfrac{5}{6} hours a week.

Monday she read 1\dfrac{1}{3} hours.

Tuesday she read \dfrac{3}{4} of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = 10\dfrac{5}{6} hours a week.

Total time she already read =1\dfrac{1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{4}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{16+9+36}{12} hours

                                              =\dfrac{61}{12} hours

Now,

Remaining time = Total time - Total time she already read

                         =10\dfrac{5}{6}-\dfrac{61}{12}

                         =\dfrac{65}{6}-\dfrac{61}{12}

                         =\dfrac{130-61}{12}

                         =\dfrac{69}{12}

                         =\dfrac{23}{4}

                         =5\dfrac{3}{4}

Therefore, the required time is  5\dfrac{3}{4} hours.

8 0
3 years ago
josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the superm
Anuta_ua [19.1K]
(josue) 16.8/7 = $2.4 per lb
(ricardo) 12.75/5 = $2.55 per lb

ricardo is incorrect because if you solve for the price per pound ( price/amount ), josue paid $2.40 for each pound of pretzels while ricardo paid $2.55 per pound. ricardo ended up paying more.
3 0
3 years ago
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