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hjlf
3 years ago
9

Sara has 2 2/3 cup taco meat. She needs 1/6 cup to make one taco. How many tacos can Sara make with the taco meat she has?

Mathematics
1 answer:
zzz [600]3 years ago
7 0

let's firstly convert the mixed fraction to improper fraction, and divide, so we can see  how many times 1/6 goes into 2⅔


\bf \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{8}{3}\div \cfrac{1}{6}\implies \cfrac{8}{3}\cdot \cfrac{6}{1}\implies \cfrac{8}{1}\cdot \cfrac{6}{3}\implies 8\cdot 2\implies 16

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Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.
miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

             Two points are (8,1) (2,10)

Step: 1

            By graphical method, refer the attachment,

                    First point (8,1)

                           The values of x=8 and y=1 noted in the graph

                    Second point (2,10)

                          The values of x=2 and y=10 noted in the graph

            Now join the two points (8,1) and (2,10)

                          Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

                                                     ( OR )

Step:1

        By formula method,

                   Distance =  \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }.....................(1)

        Where,

                    (8,1) are (x_{1},y_{1})

                    (2,10) are (x_{2},y_{2})

       From the equation,

                                 = \sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }

                                 = \sqrt{(-6 )^{2} +(9 )^{2} }

                                 = \sqrt{36 +81 }

                                  = \sqrt{117}

                                  = 10.81665

                                  ≅ 11             ( Answer convert to the nearest tenth)

                  Distance = 11 units

Result:

               The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

5 0
3 years ago
What is the measure of angle BCD?<br><br> m∠BCD = degrees
ratelena [41]
Angle DAC = 180-25 = 155 degrees
Angle ABC = 180 - 146 = 34 degrees
Angle ADC = 180 - 149 = 31 degrees

ABCD is a quadrilateral and angles in quadrilateral add up to 360 degrees

Angle BCD = 360 - (155 + 34 + 31)
= 360 - 220
= 140 degrees
3 0
3 years ago
A dime is 1 of a dollar.
Alexxandr [17]

Answer:

A. 10 dimes

B. 30 dimes

Step-by-step explanation:

One dime is ten cents so 10 dimes are 100 witch equals 10

So if 10 dimes is one dollor 30 would be three dollars

8 0
3 years ago
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AnnyKZ [126]

Answer:

x = 2

Step-by-step explanation:

-5x + 8 = -2

-5x + 8 - 8 = -2 -8

-5x = -10

-5x/5 = -10/5

-x = -2

x=2

8 0
2 years ago
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lord [1]

Answer:

Sin = -5/13

Cos = 12/13

Tan = -5/12

Step-by-step explanation:

5 0
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