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3 years ago

Use the gcf and the distributive property to express the sum as a product 20 35

1 answer:

5 0

Common factor of 20= 1,2,4,5,10.......
common factor of 35=1,5,7.............
so here we find that 1 and 5 r the common factors
but the GCF of 20 and 35 is 5
so,
by using GCF the distributive property is : 5(4+7)

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givi [52]

Answer:

the area of the figure below is 56mm

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3 years ago

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A fruit seller sold 50 kg of orange at the rate of rupees 80 per kg and gained rupees 800 calculate his purchasing rate.

Lorico [155]

Step-by-step explanation:

selling price of 1 kg oranges = rupees 80

so, selling price of 50 kg oranges :-

=》80 × 50

=》4000

now, profit = 800

so, Cost price (C.P) = selling price - profit

=》C.P = 4000 - 800

=》C.P = 3200

SO, purchasing rate per kg was

=》3200 ÷ 50 = 64

hence, purchasing rate = 64 rupees per kg

profit % =

$\frac{profit}{cost \: price} \times 100$

=》

$\frac{800}{3200} \times 100$

=》

$\frac{1}{4} \times 100$

=》

$25$

hence, profit % = 25%

3 0

3 years ago

For a certain automobile,

emmasim [6.3K]

Answer:

The answer is

a) 2,128 miles per gallon at 40,36 miles per hour

b) 1,388 miles per gallon at 60 miles per hour

Step-by-step explanation:

Let's find the extreme points of M(x) for 30≤x≤60. M(x) simplified by dividing to 7.8.

$M(x) = -1,92.10^-3x^2+0,155x-1$

To find extreme points we find tangent of M(x) and equal it to 0.

$M'(x) = -3,84.10^-3x+0,155=0$

therefore x= $\frac{-0,155}{-3,84.10^-^3} = 40,36$

This divides our x to 2 different range 30≤x≤40,36 and 40,36≤x≤60

Now we pick a number and investigate from the ranges

30≤x≤40,36 → x = 35 → M'(35) = 0,0206 which is > 0 and that means M is increasing

40,36≤x≤60 → x = 45 → M'(45) = -0,0178 which is < 0 and that means M is decreasing

Next let's look at critical points

x M(x) Before After Decision

30 1,922 - ↑ Local Minimum Point

40,36 2,128 ↑ ↓ Local Maximum Point

60 1,388 ↓ - Local Minimum Point

As we can see (30, 1,922) and (60, 1,388) are local minimum points and (40,36 , 2,128) is the local maximum point.

Since (60 , 1,388) is the lowest local minimum point it is the absolute minimum point and (40,36 , 2,128) is the absolute maximum point.

6 0

3 years ago

A car depreciates in value by 17% per year.

otez555 [7]

Answer:

17%of 23000

17/100×23000

1 yrs depreciation is 3910

then

after 4 years depreciation is 4×3910

=15640

the worth of after 4 yrs is 23000-15640

=Rs 7360

7 0

3 years ago

Sum of two numbers is 58 and the smaller number is 20 less than the larger number

Dmitrij [34]

Answer:

X=38 ANS. FOR THE LARGER NUMBER.

Y=20 ANS. FOR THE SMALLER NUMBER.

Step-by-step explanation:

38+Y=58

Y=58-38

38-20=18

18=18

3 0

3 years ago