double the sum of all prime numbers between 10and 30 then add thrice the product of all positive numbers less than 8 what is the quotient​

Answer:

1861÷1250

Step-by-step explanation:

This is the simplified version

Answer:

PR = 39 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² + PQ² = QR² , that is

PR² + 80² = 89²

PR² + 6400 = 7921 ( subtract 6400 from both sides )

PR² = 1521 ( take the square root of both sides )

PR = [tex]\sqrt{1521}[/tex] = 39

Answer:

[tex]PR=39[/tex]

Step-by-step explanation:

The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,

[tex]a^2+b^2=c^2[/tex]

Substitute,

[tex]a^2+b^2=c^2[/tex]

[tex]PQ^2+PR^2=QR^2[/tex]

[tex]80^2+PR^2=89^2\\[/tex]

Simplify,

[tex]80^2+PR^2=89^2\\[/tex]

[tex]6400+PR^2=7921[/tex]

Inverse operations,

[tex]6400+PR^2=7921[/tex]

[tex]PR^2=1521\\\\PR=39[/tex]

Answer:

let the sides be 25x,12x and 5x ......then

25x+12x+5x=540

45x=540

x=25

sides are 25×12=300

12×12=144

5×12=60

we can find area by herons formula

Answer:

y= 0.35

Step-by-step explanation:

y 1/4

when x=5,

find y=? when x=7.

given that y varies directly with x.

y = kx

Where k is the constant of proportionality

k= y/x

k= (1/4)÷ 5

k= 0.05

y= kx

y= (0.05)(7)

y= 0.35

I Hope this will helpful...

Answer:

21 s t^2

Step-by-step explanation:

7t · s · 3rt

Multiply the coefficients

7*3 =21

t*t = t^2

s

Multiply back together

21 s t^2

Answer: 24(option A) is the answer

exterior angle = 360/n

so, n = 15

then, 360/15 = 24

Answer:

x = -1/2

Step-by-step explanation:

4x^2 + 4x + 1 = 0

Factor

(2x+1)(2x+1) =0

Using the zero product property

2x+1 = 0 2x+1 =0

2x = -1  2x=-1

x = -1/2   x = -1/2

Answer:

C.

Step-by-step explanation:

212/4 = 53, so 53/1, or 53 miles are driven every hour.

Answer:

500

Step-by-step explanation:

Answer:

b, c, d

Step-by-step explanation:

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125

Answer:

25%

Step-by-step explanation:

1 ÷ 4 = 0.25

0.25 x 100 = 25 = 25%

Answer:

12:05 pm

Step-by-step explanation:

Let z be the number of hours, from 11:00 am, when Jimmy would catch up with John. The time that Jimmy will have to drive to catch up with John is z - 1/4 as he started a quarter of an hour late. When Jimmy would catch up with John, they would have traveled the same distance. Hence

50 z = 65 (z - 1/4)

Solve for t

50z = 65z - 65/4

z = 65/60 = 1.083 hours = 1 hour and 5 minutes

Jim will catch up with John at

11:00 am + 1 hour 5 minutes = 12:05 pm

Answer From Gauth Math

Answer: [tex]a=\sqrt{60}[/tex]

Step-by-step explanation:

To solve for a, we want to use Pythagorean Theorem as provided int eh problem. a and 2 are the legs while 8 is the hypotenuse.

[tex]a^2+2^2=8^2[/tex]           [exponent]

[tex]a^2+4=64[/tex]            [subtract both sides by 4]

[tex]a^2=60[/tex]                  [square root both sides]

[tex]a=\sqrt{60}[/tex]

Now we know that [tex]a=\sqrt{60}[/tex].

Answer:

commutative properties

Let the number of letters processed on Monday = x

She processed 3 times letters on Tuesday.

Therefore, number of letters processed on Tuesday = 3x

Number of letters processed on Wednesday = 5000

Total number of cards processed in 3 days = 15000

Therefore, equation for the situation will be,

x + 3x + 5000 = 15000

4x = 15000 - 5000

4x = 10000

x = 2500

Since, number of letters processed on Tuesday = 3x

Therefore, number of letters processed on Tuesday = 3(2500)

                                                                                             = 7500

Learn more,

https://brainly.com/question/2415751

Answer: c

Step-by-step explanation:

c is the same and it is the correct answer

Answer:

76

Step-by-step explanation:

when b = -6

b^2 - 6b + 4

(-6)^2 - 6(-6) + 4

36 + 36 + 4 = 76

(remember, a negative times a negative always equals a positive)

... please mark as brainliest!! :)) ...

Answer:

x = 0

Step-by-step explanation:

-2(2 − 2x) = 4 − 8(1 − x)

Apply the distributive property:

−2(2 − 2x) = 4 − 8(1 − x)

(−2)(2) + (−2)(−2x) = 4 + (−8)(1) + (−8)(−x)

−4 + 4x = 4 + (−8) + 8x

Combine like terms:

4x − 4 = (8x) + (4+−8)

4x − 4 = 8x + (−4)

4x − 4 = 8x − 4

Subtract 8x from both sides:

4x − 4 − 8x = 8x − 4 − 8x

−4x − 4 = −4

Add 4 to both sides:

−4x − 4 + 4= −4 + 4

−4x = 0

Divide both sides by -4:

-4x/-4 = 0/-4

x = 0

Answer: 0

Step-by-step explanation:

Answer:

the number is 2.45

Step-by-step explanation:

let the original number = n

[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]

Therefore, the number is 2.45

Answer:

160π in²

Step-by-step explanation:

The formula for the surface area of a cylinder is: A = 2πrh + 2πr²

From here we can plug in what we know (r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

The surface area of a cylinder is 160π in².

The surface area of a cylinder is also called the total surface area of the cylinder.

Suppose that:

Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

From here we can plug in what we know that,

(r = 4, h = 16):

A = 2π(4)(16) + 2π(4²)

A = 128π + 32π

A = 160π in²

Hence, the surface area of a cylinder is 160π in².

Learn more about lateral surface area of a cylinder here:

https://brainly.com/question/11385509

#SPJ5

Answer:

see explanation

Step-by-step explanation:

(1)

x - (9x - 10) + 11 = 12x + 3(- 2x + [tex]\frac{1}{3}[/tex] ) ← distribute parenthesis on both sides

x - 9x + 10 + 11 = 12x - 6x + 1 ← collect like terms on both sides

- 8x + 21 = 6x + 1 ( subtract 6x from both sides )

- 14x + 21 = 1 ( subtract 21 from both sides )

- 14x = - 20 ( divide both sides by - 14 )

x = [tex]\frac{-20}{-14}[/tex] = [tex]\frac{10}{7}[/tex]

(3)

- 4x - 2(8x + 1) = - (- 2x - 10) ← distribute parenthesis on both sides

- 4x - 16x - 2 = 2x + 10

- 20x - 2 = 2x + 10 ( subtract 2x from both sides )

- 22x - 2 = 10 ( add 2 to both sides )

- 22x = 12 ( divide both sides by - 22 )

x = [tex]\frac{12}{-22}[/tex] = - [tex]\frac{6}{11}[/tex]

(7)

8(2x + 9) = 56 ( divide both sides by 8 )

2x + 9 = 7 ( subtract 9 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Vacarro sliced a banana into 5 pieces.

Number of slices she gave to her toddler = 4/5

Number of slices left after her toddler had finished eating = 2/5

Thus number of slices toddler ate,

⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]

⇒ [tex]\frac{4-2}{5}[/tex]

⇒ [tex]\frac{2}{5}[/tex]

Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

Step-by-step explanation:

h) p^2+b^2=h^2

5^2+x^2=8^2

25+x^2=64

x^2=64-25

x^2=39

x=√39

x=6.244998

We know that

p² + b² = h²

Part a

5² + x² = 8²

x² = 64 - 25

x = √39

Part B

4² + 6² = x²

16+36 = x²

√52 = x

√2×2×13 = x

x = 2√13

Must click thanks and mark brainliest

Answer: x = -3

[tex]2x+6=0\\\\2x=-6\\\\x=\frac{-6}{2} =-3[/tex]

Answer:

x= -3

Step-by-step explanation:

Solve the equation:

2x +6 = 0

We have isolate 'x'.

First subtract 6 from both sides

2x = 0-6

2x = -6

Divide each side by 2

x = -6/2

x = -3

Answer:100

Step-by-step explanation:

Given

Last year 160 new candidates submitted to work for agency

It is expected to increase by 25% that is , increase in one year should be

[tex]\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200[/tex]

200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.

Answer:

1g - 50 = p(g)

Step-by-step explanation:

The profit function is,

⇒ p(g) = g - 50

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Betty sets up a lemonade stand and charges $1 per glass.

It cost her $50 to set up the stand.

And, We have to find the function gives the profit, p, she makes by selling g glasses of lemonade.

Now, The number of glasses of lemonade sold = g,  

And, A profit, p by function p(g)

Setup cost = $50

Since, Charges for 1 glass  = 1 $

Hence, Charges for g glasses = 1.g  = $g

Here, The cost = $50  

Hence, Profit  = $g - 50

⇒ p(g)  =  g - 50  

Therefore, The profit function is,

⇒ p(g) = g - 50

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

x = 3  or  x = -2

Step-by-step explanation:

x² - x - 6 = 0

(x - 3)(x + 2) = 0

x - 3 = 0  or  x + 2 = 0

x = 3  or  x = -2

Answer:

for every minute it will cost 3 dollars

Step-by-step explanation:

c(x)=3x+2.00

The cost to get in the taxi is 2 dollars

The slope is 3

3x means that for every minute it will cost 3 dollars