simplify  ( √ 5 ) ( 3 √ 5 )

Answer:

52.8

Step-by-step explanation:

We take the midpoint of the range as, x

Midpoint = (lower + upper) /2

Midpoint, x ___ Frequency, F

15 ___________ 7

45 __________27

75 __________12

105 __________4

The mean :

Σfx / Σf

= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)

= 2460 / 50

= 52.8

Answer:

x ≈ 10.4

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos42° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{14}[/tex] ( multiply both sides by 14 )

14 × cos42° = x , then

x ≈ 10.4 ( to the nearest tenth )

Answer:

[tex](\frac{6}{11} )*(\frac{6}{11} )[/tex] = 36/121 =.297

Step-by-step explanation:

Answer:

36/121

Step-by-step explanation:

We have 5+6 = 11 marbles

P(red) = number of red/ total = 6/11

We replace the marble so we still have 11 marbles

P(red) = number of red/ total = 6/11

P(red, red) = 6/11*6/11 = 36/121

Answer:

2:7

Step-by-step explanation:

ratio as a fraction in simplest form. 2 weeks = 14 days, so 4/14 = 2/7.

Answer:

2 : 7

Step-by-step explanation:

7 days = 1 week

y days = 2 weeks

[tex]\frac{1}{7} :\frac{2}{y}[/tex]

1 × y = 2 × 7

y = 14

4 days : 14 days

4 = 2 × 2

14 = 2 × 7

GCF = 2

4 ÷ 2 = 2

14 ÷ 2 = 7

2 : 7

Answer:

x = -1, 6

Step-by-step explanation:

Equation of function 1 is,

y₁ = x² - 4x

Equation of function 2 is,

y₂ = x - 6

If y₁ = y₂

x² - 4x = x - 6

x² - 4x - x + 6 = 0

x² - 5x + 6 = 0

x² - 6x + x + 6 = 0

x(x - 6) + 1(x + 6) = 0

(x + 1)( x - 6) = 0

x = -1, 6

Answer:

x = 2 and x = 3

Step-by-step explanation:

y1 = 2^2 - 4(2)

2 x 2 - 8= -4

y2 = 2 - 6 = -4

y1 = 3^2 - 4(3)

9 - 12 = -3

y2 = 3 - 6 = -3

Answer:

15cm^2

Step-by-step explanation:

The given polygon is a parallelogram,

Area of a parallelogram = Base * Height

                                       = 5cm * 3cm

                                       = 15cm^2

Hope it helped :)

the answer for this is 7.5

or when run becomes 8

Step by Step Explanation:

taken triangle KLM.

Area of a triangle=

[tex] \frac{1}{2} \times base \: \times height[/tex]

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

[tex] \frac{1}{2} \times 15[/tex]

The solution to the proportion is x = 16.

We have,

To solve the proportion (x - 4)/6 = x/8, cross-multiply and then solve for x.

Cross-multiplying gives:

8(x - 4) = 6x

Now, distribute the 8 on the left side:

8x - 32 = 6x

Next, isolate the x term by subtracting 6x from both sides:

8x - 6x - 32 = 6x - 6x

2x - 32 = 0

Finally, add 32 to both sides to solve for x:

2x - 32 + 32 = 0 + 32

2x = 32

Divide both sides by 2:

(2x)/2 = 32/2

x = 16

Therefore,

The solution to the proportion is x = 16.

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Answer: x axis is time in hours, y axis is water level in centimeters

I can't see the rest of the problem since you didnt show it

Step-by-step explanation:

Answer:

a) 5x - 9 = 3x + 3

5x - 3x = 3 + 9

2x = 12

x = 12 / 2

x = 6

b) x + 6 = 34 - x

x + x = 34 - 6

2x = 28

x = 28 / 2

x = 14

[tex] \: (a)5x - 9 = 3x + 3 \\ 5x - 9 - 3x = 3 \\ 2x - 9 = 3 \\ 2x = 3 + 9 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6 \\ (b) \: x + 6 = 34 - x \\ x + 6 + x = 34 \\ 2x + 6 = 34 \\ 2x = 34 - 6 \\ 2x = 28 \\ x = \frac{28}{2} \\ x = 14[/tex]

Answer:

0.00045 [tex]m^{3}[/tex]

Step-by-step explanation:

450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]

1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]

= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]

Answer:

450 (cm*3) = 0,00045 (m*3)

Step-by-step explanation:

Answer:

nine $5 bills and twenty-eight $10 bills

Step-by-step explanation:

f = # of five dollar bills

t = # of ten dollar bills

system of equations:

t + f = 37

10t + 5f = 325

solve the first equation for 't' to get:

t = 37-f

substitute '37-f' to 't' in second equation to get:

10(37-f) + 5f = 325

370 - 10f + 5f = 325

-5f = -45

f = 9

t + 9 = 37

t = 28

Answer:

The first one is B. 11.75

The second one is A. 4

Step-by-step explanation:

In order to find how many liters (L) of paint he used you need to do 2.5*5.5=13.75 Then to find out how much he has left you do 25-13.75=11.75 So your answer is 11.75.

The second one you have to do the reverse. So since it says 4*_=48, you do 48÷4=_=12. Then since it says 12*1/3=_ You can do 12÷3=_=4 So your answer is 4.

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Answer:

220.4 feet below sea level

Step-by-step explanation:

use the following formula:

rate x time = distance

(rate going down)(time going down) = distance going down.

so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:

(2.2 ft/sec)(91 seconds) = distance of 198 feet.

she then ascends for 32 seconds at a speed of 0.7 feet/second.

so, substitute that;

(0.7 ft/sec)(32sec) = distance of 22.4 feet.

distance traveled downward + distance traveled upward = total distance of location.

198 + 22.4 feet = 220.4 feet

Answer:

y = 1/2x -1

The slope is increasing by 2/4, which can be reduced to 1/2. You can find this by doing rise over run.

The y intercept is -1

Step-by-step explanation:

- 1⅔ < -¼

__________________

Answer:

the answer is 5 percent

Step-by-step explanation:

The probability of experiencing heartburn is 5 percent. Therefore, option B is the correct answer.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Given that, the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent.

Let Event A: Headache and Event B: Heartburn.

P(A)=0.05, P(A∩B)=0.02

The probability of experiencing a headache or heartburn is 8 percent, hence:

P(A∪B)=0.08

Now, P(A∪B)=P(A)+P(B)-P(A∩B)

0.08=0.05+P(B)-0.02

P(B)=0.05 or 5%

Therefore, option B is the correct answer.

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Answer:

7.22

Step-by-step explanation:

solved in the diagram

Answer:

O C. x = 3

Step-by-step explanation:

If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).

Answer:

Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Step-by-step explanation:

Add 3 and 1:  3 + 1 = 4.

Then Graham gets 3/4 of the money, or £22.50 and Ahir gets 1/4 of it:  £7.5.

Check:  is the ratio

£22.5

---------- equal to 3:1?  YES

 £7.5

Do  £7.5 and £22.5 sum up to   £30?  YYES

---------- =

-----

Answer:

x = 5±sqrt(26)

Step-by-step explanation:

x^2-10x=1

Take the coefficient of x

-10

Divide by 2

-10/2 = -5

Square it

(-5)^2 = 25

Add this to both side

x^2-10x+25=1+25

(x-5)^2 = 26

Take the square root of each side

sqrt((x-5)^2) = ±sqrt(26)

x-5 = ±sqrt(26)

Add 5 to each side

x = 5±sqrt(26)

Answer:

-0.0990195 and 10.09902

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides

x^2-10x+?=1+?

To complete the square x^2-10x+25=(x-5)^2 add 25 to the expression.

x^2-10x+25=1+?

Since 25 was added to the left-side, you need to add it to the right-side as well.

x^2-10x+25=1+25

use a^2-2ab+b^2=(a-b)^2 to factor this expression.

(x-5)^2=1+25

Then add the numbers together.

(x-5)^2=26

Solve for x.

x1=-squareroot26+5

x2=squareroot26+5

therefore you have 2 solutions

x1=-squareroot26+5

=-0.0990195

and

x2=squareroot26+5

=10.09902

Answer:

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

your ans is here........

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

------------------------

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

x +4 = 5

Subtract 4 from each side

x-4+4 = 5-4

x = 1

Answer:

-2 = -6

Step-by-step explanation:

first, you type -2 in the left box and -6 in the middle box

Answer:

The sum of two non-zero even numbers is even and greater than the addends

Step-by-step explanation:

The solution to the whole number equation is sum of two non-zero even numbers is even and greater than the addends

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p

Let the second number be q

Now , the values of p and q are even

So , when p = 2 and q = 4

The sum of two non-zero even numbers is even and greater than the addends

p + q > q   be equation (1)

p + q > p   be equation (2)

2 + 4 > 4

2 + 4 > 2

6 > 4 and 6 > 2

Hence , the equation is true and sum of two non-zero even numbers is even and greater than the addends

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Answer:

A: The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5 yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles

B:they have equal length sides and equal angles. For this to be true, the bases must be squares. Because it is a right prism, the lateral faces are rectangles.
C:If we have following equation right, then the angle between shorter sides is right angle:

13² = 12² + 5²

169 = 144 + 25

169 = 169

D:4*sqrt(2)

E: LSA of a cube = 100 in²

Step-by-step explanation:

Hope this helps

Answer:

x = 15.8

Step-by-step explanation:

let the number be x

according to the question equation is

x*5 - 2 = 77

5x - 2 = 17

5x = 77 + 2

5x = 79

x = 79/5

x = 15.8

Answer:

5x - 2 = 77

x = 15.8

Step-by-step explanation:

a number - x

times 5 - 5x

minus 2 - 5x - 2

equals 77 - 5x - 2 = 77

77 + 2 = 79

79 ÷ 5 = 15.8

5(15.8) - 2 = 77