Let f(x) be defined for any positive integer x greater than 2 as the sum of all prime numbers less than x. For example, f(4)=2+3=5 and f(8)=2+3+5+7=17. What is the value of f(86)−f(82)?
(A) 3 (B) 4 (C) 47 (D) 59 (E) 83

The answer is not B pls remember this

Answer:

2x-7y

8x+2y

Step-by-step explanation:

Answer

2/5

Step-by-step explanation:

if you multiply each fractions numerator and denominator so that they can be in the same group you will get

2/5=8/20

1/4=5/20

therefore 2/5 is bigger.

^^ i hope that made sense :)

The solution is: 2/5 is the fraction which fraction is larger than 1/4.

Here, we have,

given that, the fractions are, 2/5 & 1/4 ,

if we multiply each fractions numerator and denominator so that they can be in the same group.

here, we have to multiply 1st fraction by 4 both and 2nd fraction by 5 both.

we will get:

2/5=8/20

1/4=5/20

now, we know that,

8 > 5

=> 8/20 > 5/20

=> 2/5 > 1/4

therefore 2/5 is bigger.

Hence, The solution is: 2/5 is the fraction which fraction is larger than 1/4.

To learn more on fraction click:

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Let s be the speed of the person's kayak in still water.

Given, speed of current = 2 mph

Upstream distance = 9 miles

Speed of the person upstream = s-2

Time traveled upstream = 9/s-2

Downstream distance = 13 miles

Speed of the person downstream = s+2

Time traveled downstream = 13/s+2

Given,

9/s-2 = 13/s+2

Cross-multiplying,

9*(s+2) = 13*(s-2)

9s + 18 = 13s - 26

Grouping like terms together,

13s-9s = 26+18

4s = 44

s = 11 mph

Speed of person's kayak in still water = 11 mph

Answer:

Sales Tax: $100.75

Total Price: $1400.75

Step-by-step explanation:

1,300 × .0775 = 100.75

1,300 + 100.75 = $1400.75

Answer:

Tax: $100.75

Total: $1,400.75

Step-by-step explanation:

1,300*0.0775 = 100.75, 1,300 + 100.75 = 1,400.75

Answer:

diffrence

Step-by-step explanation:

Answer:

Division

Step-by-step explanation:

3x = 3 times x so, you must do the opposite of multiplication to get rid of the 3, which is division.

The solution of the equation with a single variable  3x = 15 will be 5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x = 15

Divide the equation by 3 into both sides, then we have

3x / 3 = 15 / 3

x = 5

The solution of the equation with a single variable  3x = 15 will be 5.

More about the solution of the equation link is given below.

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Answer:

-4

Step-by-step explanation:

Do (y1-y2)/(x1-x2) so (3-(-5))/(0-2)

8/-2=-4

Answer:

-4(7 + 3a) - 6a(4a - 5) = −24[tex]x^{2}[/tex]+18a−28

Step-by-step explanation:

Answer:

24a^2-18a+28

Step-by-step explanation:

-4(7 + 3a) -6a(4a - 5)

-28-12a-24a^2+30a

-24a^2+18a-28

24a^2-18a+28

Answer:

Cost of turkey sandwich is $4.50 and cost of salad is $3.50

Step-by-step explanation:

Let cost of 1 turkey sandwich be $t and cost of 1 salad be $s.

2t + 4s = 23 --(1)

s + 1 = t

s = t - 1 --(2)

Sub (2) into (1):

2t + 4(t - 1) = 23

6t - 4 = 23

6t = 27

t = 4.5

sub t = 4.5 into (2):

s = 4.5 - 1

s = 3.5

therefore, cost of turkey sandwich is $4.50 and cost of salad is $3.50

Answer:

X = 4

Step-by-step explanation:

24 - 12x + 24 = 8x - 32

48 - 12x = 8x - 32

     +12x.   +12x

48 = 20x - 32

+32.         +32

80 = 20x

divide both sides by 20

x = 4

Answer:

15 hours

Step-by-step explanation:

Kelsey + 4 sisters = 5 girls

Each of the 5 girls spent three hours cleaning

Usually, I would do 5 x 3 = c, but since we need to use a division equation, we should use c / 5 = 3 OR c / 3 = 5.

c/5 = 3

3 x 5 = 15

Check:     15/ 5 = 3

Answer:

$5,158.14

Step-by-step explanation:

$81,223 - $13,725.35 - $5,600 = $61 897.65

$61 897.65 ÷ 12 = $5158.1375 ⇒ $5158.14

Answer:

87/10

is already in the simplest form. It can be written as 8.7 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 87 and 10 is 1

Divide both the numerator and denominator by the GCD

87 ÷ 1

10 ÷ 1

Reduced fraction:  

87 /10

Therefore, 87/10 simplified to lowest terms is 87/10.

Hope this helps!

Answer:

Two answers are possible

Step-by-step explanation:

Both are listed below

Answer:

Step-by-step explanation:

Given the ratio of sugar and flour by weight expressed by the ratio 3:2

Total ratio = 3+2 = 5

Ratio of sugar = 3

If we are to make 10pounds cake, the amount of sugar needed will be expressed as;

Amount of sugar = Ratio of sugar/Total sugar *weight of cake

Amount of sugar  = 3/5 * 10

Amount of sugar  = 3 * 2

Amount of sugar  = 6pounds

Hence 6pounds of sugar is needed to make the cake

Answer:

Step-by-step explanation:

Triangles are not similar

[tex]\frac{11}{33}[/tex] ≠ [tex]\frac{8}{20}[/tex] = [tex]\frac{6}{15}[/tex]

[tex]\frac{2}{5}[/tex] = [tex]\frac{2}{5}[/tex] ≠ [tex]\frac{1}{3}[/tex]

Answer:

1 1/2

Step-by-step explanation:

5/6 + 3/8 = 1.208

Answer:

6

Step-by-step explanation:

Profit is revenue minus cost.

P(x) = R(x) − C(x)

P(x) = 28x − (7x + 117)

P(x) = 21x − 117

When the profit is 0, the value of x is:

0 = 21x − 117

21x = 117

x = 5.6

Rounding up to the nearest integer, the company starts to turn a profit at 6 milkshakes.

Answer:

10.91%

Step-by-step explanation:

Take your number: 10.9091

Now find the first 3 decimals: 10.909

If the last (3rd) decimal is 5 or more raise the 2nd decimal: 10.909 → 10.91

That is 2 decimal places

(if your teacher doesn't want it rounded then just 10.90%)

Answer:

10.91%

Step-by-step explanation:

Answer:

0.433

Step-by-step explanation:

5.42 - 4.987

Subtract each column of digits starting from right to left.

5.420

- 4.987

If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.

5.420

- 4.987

Borrow 1 from 5:

4.(10+4)20

- 4.987

4.(14)20

- 4.987

Borrow 1 from 14:

4.(13)(10+2)0

- 4.987

4.(13)(12)0

- 4.987

Borrow 1 from 12:

4.(13)(11)(10+0)

- 4.987

4.(13)(11)(10)

- 4.987

Subtract the second digit from the first:

(10 - 7 = 3):

4.(13)(11)(10)

- 4.987

= 3

(11 - 8 = 3):

4.(13)(11)

- 4.987

= 33

(13 - 9 = 4):

4.(13)

- 4.987

= 433

4.(13)

- 4.987

= .433

(4 - 4 = 0):

4.(13)

- 4.987

= 0.433

Answer:

x = 10

m<A = 132 degrees

m<B = 48 degrees

Step-by-step explanation:

Supplementary = angles that make up 180 degrees

We know <A and <B are supplemntary, so 2x+28+6x+72 = 180.

8x + 100 = 180

8x = 80

x = 10

I input 10 into the equations to solve for the measures of the angles

Answer:

The area of the rectangle would be 7

Step-by-step explanation:

Its A i had the same one. Hope it helps.

Answer:

D, A,B I think that’s it

Step-by-step explanation:

Answer:

450

Step-by-step explanation: 90x 5 = 450  hoped i helped

Answer:

4.5 ywww

Step-by-step explanation: