5 times the cube of x divided by 4 times x

Answer:

180 millimeters.

Step-by-step explanation:

To find the height of the replica, a ratio can be set up:

[tex]\frac{x}{50}= \frac{1}{275}[/tex]

Cross multiply:

[tex]275x = 50[/tex]

Divide both sides by '275:

x≈0.18 meters

Convert 'meters' to 'millimeters' by multiplying by a thousand:

0.18 × 1000 = 180 millimeters.

Answer:

3. 324+432=756 in cubed

4. 2100+7200=9300 yd cubed

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πr^2 = area

Half the diameter to get the radius

Substitute the values in:

area = 3.142 x (7)^2

area = 153.958 cm^2

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Answer:

153.958cm^2

Step-by-step explanation:

r=d/2=14/2=7cm

A=πr^2

A=3.142×7^2

A=3.142×49cm^2

A=153.958cm^2

Answer:

Area_square = 4 cm2

Area_triangle = 4 cm2

Step-by-step explanation:

The first thing to do is calculate the area of both figures.

The area of the square is given by:

Area_square = side * side

The side of the square is 2 cm, so:

Area_square = 2 * 2 = 4 cm2

The area of the triangle is given by:

Area_triangle = base * height / 2

The base is 2 cm, and the height is 4 cm, so we have:

Area_triangle = 2 * 4 / 2 = 4 cm2

So we have that Area_square = Area_triangle = 4 cm2

Answer: 20/27

Step-by-step explanation:

So it is non- mutually exclusive;

Let B for the boys and H for the blond hair.

P(B) = 15/27; P(H) 11/27; P(B and H) = 6/27

Then, we have,

P(B or H) = 15/27 + 11/27 - 6/27

P(B or H) = 20/27 

Therefore,  the probability of selecting a boy or a blond-haired person is 20/27.

Answer:

Step-by-step explanation:

The Answer is 20.

1: First, add up all the temperatures that has been provided, 21 + 21 + 19 + 19. It should give you 80.

2: Divide 80 by how many temperatures has been shown. There were 4 temperatures shown, so 80/4 = 20. Hope this helps you!

Answer:

B

Step-by-step explanation:

It cannot be C. The Y-intercept of Function W is 30, while the Y-intercept of Function Z is 15.8. Now, we are left with A, B, and D.

It cannot be D, because 30 is not less than 15.8. Now, we are left with options A and B.

Function Z as an equation is approximately y=-1/24x+15.8.

The slopes are NOT equal, so the answer cannot be A.

Explanation why it's B:

1/16 is bigger than 1/24, however, since the fractions are NEGATIVE, -1/16 is actually LESS THAN -1/24. The slopes of Function W is less than the slope of Function Z.

Answer:

B. the slope of function W is less than he slope of function Z

Step-by-step explanation:

Function W:

Function Z:

from the table we can see it is decreasing function with step change of -0.04

using the data from the table we can put the function in y= mx + b format:

as per above, we get the the form of function Z

we can now compare the slops and intercepts of functions W and Z

m - is the slope: -1/16 and - 1/25

b is the y-intercept: 30 and 15.8

As per above the correct option is

Answer:

$178,000

Check my explanation for further details

Step-by-step explanation:

$8200 in his pension fund for 15 years

=8200×15

=$123,000

By 2031

Tom will have a total of $55 000+$123,000

=$178,000

If by saying E55,000 you mean 55,000 Euro

Then,

$62,174.99=E55000

$62,174.99+$123,000

=$185,174.99

Answer:

Optimal investment amount = $300

Step-by-step explanation:

discount = x

original price = 10,000

discount% = 7%

x/10,000 = 7/100

x · 100 = 7 · 10,000

100x = 70,000

100x/100 = 70,000/100

x = 700

discount = x

original price = 10,000

discount% = 8%

x/10,000 = 8/100

x · 100 = 8 · 10,000

100x = 80,000

100x/100 = 80,000/100

x = 800

discount = x

original price = 10,000

discount% = 12%

x/10,000 = 12/100

x · 100 = 12 · 10,000

100x = 120,000

100x/100 = 120,000/100

x = 1,200

So:

$1,200 - $800 - $700 = $300

We max out the high return investment, $2000 for 12%.

We have $8000 left to invest and we want to put as much in CDs at 8% as possible.  Let's call b the bond investment and c the CD investment.  We have

b ≥ 3c

Since munis have the lower return we want as many CDs as possible.  So we choose:

b = 3c

b + c = 8000

3c + c = 8000

4c = 8000

c = 2000

That leaves b=3c=6000 for bonds.

Answer: $6000 in bonds, $2000 in CDs, $2000 in high-risk.

Answer:

-35 - 5

Step-by-step explanation:

2 + 12 = 14, which is positive

(-3) * (-8) = 24, which is positive

10 - (-18) = 10 + 18 = 28, which is positive

-35 - 5 = -40, which is negative

Answer:

[tex]-35-5[/tex]

Step-by-step explanation:

[tex]2+12=14[/tex]

The result is a positive value.

[tex]-3 \times -8=24[/tex]

The result is a positive value.

[tex]10-(-8)\\10+8=18[/tex]

The result is a positive value.

[tex]-35-5=-40[/tex]

The result is a negative value.

Answer:

sin θ = +/- (2√2)/3

Step-by-step explanation:

cos θ  = 1/3

cos²θ  + sin²θ  = 1

(1/3)² + sin²θ  = 1

sin²θ  = 1 - 1/9

√(sin²θ) = +/-√(8/9)

sin θ = +/- (2√2)/3

Answer:

y=1/6x

Step-by-step explanation:

y=1/x

the rule for horizontal compression is f(k.x) since we have the equation of y=1/x and k=6 then y=1/6x

Answer:

Step-by-step explanation:

Equation of line:  y = mx + c

 y = x - 6

Slope m = 1

y-intercept c = -6

Answer:

m = 1

c = -6

Step-by-step explanation:

Formula for a  line is y = mx+c

m = gradient

c  = intercept.

Here:

m = 1

c = -6

Hope this helps

Good Luck

Answer:

12/5hours=2.4 hours

Step-by-step explanation:

Sam:6hours

Tom:4hours

This is a rate problem

Sam's rate is one job completed in 6 hours which is 1/6

Tom's rate is one job completed in 4 hours which is 1/4

Together, they could complete 1/4+1/6 of the job in y hours

We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y

1/4+1/6=1/y

The least common denominator is 12y

Multiplying through by the LCD which gives:

12y(1/4)+ 12y (1/6)= 12y (1/y)

3y + 2y=12

5y = 12

y=12/5 hours=2.4hours

Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together

Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

The final answer is x = -3

Answer:

its c

Step-by-step explanation:

because i said

Answer:

c is the correct option

Step-by-step explanation:

Answer:

RT is more appropriate, though even SU could be called a secant.

Step-by-step explanation:

Answer:

e. 29.840

Step-by-step explanation:

The cat, the floor and the foot pole form the shape of a right angled triangle.

The opposite is the height of the foot pole = 32 ft

The adjacent is the distance of the cat from the base of the foot pole.

The hypotenuse is the direct distance of the cat from the bird.

The angle of elevation, x, is 47°

To find the distance of the cat from the foot of the foot pole, we can use to TAN part of the trigonometric function SOHCAHTOA:

tan(x) = opposite / adjacent

=> tan(47) = 32 / adj

adj = 32 / tan(47)

adj = 29.840 ft

Therefore, the cat is 29.840 feet from the base of the foot pole.

Answer:

two times a number

Step-by-step explanation:

Answer:

[tex]\dfrac{47}{42} \ \ \ \ \ OR \ \ \ \ 1.1[/tex]

Step-by-step explanation:

The objective of this question is to find the  sum of the greatest and least numbers below:

[tex]\[8\frac15, \qquad -8\frac25, \qquad -\frac{26}{3}, \qquad -\frac{54}7, \qquad \frac{53}{6}.\][/tex]

To do this ; we will need to find the decimal component of each of them and equate them on a number line before summing the greatest and least numbers.

[tex]8 \frac{1}{5} = \dfrac{8*5+1}{5} \\ \\ = \dfrac{41}{5} \\ \\ = 8.2[/tex]

[tex]-8 \frac{2}{5} =- \dfrac{8*5+2}{5} \\ \\ =- \dfrac{42}{5} \\ \\ = -8.4[/tex]

[tex]-\dfrac{26}{3}= - 8.7[/tex]

[tex]-\dfrac{54}{7} = - 7.7[/tex]

[tex]\dfrac{53}{6}= 8.8[/tex]

Thus; the above decimal component of the fractions given are :

8.2, -8.4, -8.7 , -7.7 and 8.8

We are to find the sum of the greatest and the smallest number ; on a number line; we will realize that the positive side is greater than the negative side , As such the greatest number from the positive side will be 8.8 and the smallest number will be -7.7

The sum of 8.8 + ( -7.7 ) = 8.8 - 7.7

= 1.1

i.e

[tex]\dfrac{53}{6} + (- \dfrac{54}{7} )[/tex]

[tex]\dfrac{53}{6} - \dfrac{54}{7}[/tex]

[tex]\dfrac{53}{6} - \dfrac{54}{7} = \dfrac{53*7 - 6*54}{42} \\ \\ = \dfrac{47}{42} \\ \\ = 1.1[/tex]

Answer:

Step-by-step explanation:

Answer:

2.4

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

4.7 - 2.3

Step 2: Evaluate

Subtract

2.4

Answer:

2.4

Step-by-step explanation:

Answer:

7/4

Step-by-step explanation:

1 3/4=1 x 4=4 + 3=7/4

Answer:

[tex]135<t_{minutes}\:<315[/tex]

Step-by-step explanation:

Malik's goal is a minimum total of 135 (45 x 3) minutes per week, in three session of 45 minutes.

Notice that it is at least.

So He can do sessions from 3 , 4, 5, 6 up to 7 nights per week

Hence, we can write his goals in minutes per week:

[tex]G_{w}=3*45<t_{minutes}<7*45\\G_{w}=135<t_{minutes}<315[/tex]

Answer:

X24

Step-by-step explanation:

Step-by-step explanation:

6 - 4s = - 8 - 6s

Bringing like terms on one side

-4s + 6s = - 8 - 6

2s = - 14

S = - 14/2

S = - 7

Answer:

$ 60

Step-by-step explanation:

p(x) = 7x + 25

f(1) = 2.1² + 3 = 5

p(f(1)) = p(5) = 7 . 5 + 25 = 35 + 25 = 60

so he get $ 60 for 5 hours work with tips

Answer:

Step-by-step explanation:

let a be the first term and r be common ratio.

[tex]a_{3}=ar^2=-45\\a_{5}=ar^4=-405\\divide\\\frac{ar^4}{ar^2} =\frac{-405}{-45} =9\\r^2=9\\r=\pm3\\9a=-45\\a=-5\\a_{7}=ar^{7-1}=ar^6=ar^4 \times r^2=-405 \times 9=-3645[/tex]

Answer:

(x+5)²(x²+5)

Step-by-step explanation:

Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25

On factorising we have:

x²+5x+5x+25

= x(x+5) +5(x+5

= (x+5)(x+5)

= (x+5)²

The LCM can be calculated as thus

| x²+5, (x+5)²

x+5| x²+5, (x+5)

x+5| x²+5, 1

x²+5| 1, 1

The factors of both equation are x+5 × x+5 × x²+5

The LCM will be the product of the three functions i.e

(x+5)²(x²+5)

This hives the required expression.

Answer:

- 18y = 1

Step-by-step explanation:

Adding the 2 equations term by term on both sides gives

(- 5x + 5x) + (- 9y - 9y) = (3 - 2), that is

0 + (- 18y) = 1

- 18y = 1