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alexira [117]
3 years ago
9

A 9-kg bag of mangoes for $12. how much per kg​

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

1.3

Step-by-step explanation:

9 = 12

1= x

x= 1.3

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NEED ANSWER ASAP
kkurt [141]

Answer:

f(2) = 81

g(2) = 83

Science class had a higher average

Step-by-step explanation:

Given

f(x) = 0.5x + 80

g(x) table

Solving (a): f(2)

We have:

f(x) = 0.5x + 80

So:

f(2) = 0.5*2 + 80

f(2) = 1 + 80

f(2) = 81

Solving (b): g(2)

From the given table.

g(2) = 83

Solving (c): f(4) or g(4); which is greater

f(x) = 0.5x + 80

So:

f(4) = 0.5*4+80

f(4) = 2+80

f(4) = 82

For g(4): Notice that in the table of g(x); g(x) increases by 2 when x increases by 1

This means that:

g(x) = g(x-1)+2

So

g(4) = g(4-1)+2:

g(4) = g(3)+2

g(4) = 85+2

g(4) = 87

<em>Hence, g(4) i.e. Science class is greater</em>

6 0
3 years ago
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

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6 0
3 years ago
Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in ye
Sloan [31]

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

5 0
3 years ago
The vertex angle of an isosceles triangle is 20° less than the sum of the base angles. Which system of equations can be used to
WINSTONCH [101]

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus,  v + b + b = 180°

So,  v + 2b = 180°

Next, the question says, the vertex angle is 20° less than the sum of base angles.

Thus, 2b - 20° = v

<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>

6 0
3 years ago
Rewrite the fraction 7/8 to the -1 power without the exponent<br><br> (7/8 to the negative 1 power
olga_2 [115]

Answer:

Step-by-step explanation:

(7/8) to the  negative power is 8/7

6 0
2 years ago
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