7. Three cubes of edges x cm , 6 cm, and 8 cm are melted and recast into a bigger cube of
edge 12 cm , find the value of x?

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

Step-by-step explanation:

On solving the inequality, we get the solution inequality as -

x > -1.

Given is the inequality -

9(x/3 + 1) > 6

The given inequality is -

9(x/3 + 1) > 6

(x/3 + 1) > (6/9)

(x/3 + 1) > 2/3

x/3 + 1 - 1 > 2/3 - 1

x/3 > (2 - 3)/3

x/3 > -1/3

x > -1

Therefore, on solving the inequality, we get the solution inequality as -

x > -1.

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Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

2021 EDGE

Answer:

(a) 8.4

(b) 56.49

(c) 6.5

Step-by-step explanation:

Question 1:

7 + 0.8 + 0.6

7.8 + 0.6

8.4

Question 2:

35.15 + 14.18 + 7.16

49.33 + 7.16

56.49

Question 3:

0.8 + 5 + 0.7

5.8 + 0.7

6.5

Answer:

8

Step-by-step explanation:

bc is write

Steps to solve

21 + 6x when x = -2

~Substitute

21 + 6(-2)

~Simplify

21 - 12

~Subtract

9

Best of Luck!

Answer:

the answer is B

Step-by-step explanation:

you have to divid 13 from 61 to get -8 and u have to times the 2 numbers and do - 8 x 2 = 16 and after that u take the 3 and it would have to turn into 50 and it would be cos bc you combining the numbers to make one whole number  and since it is negative you have to put that little circle thing i forgot the name I hope that help can u please mark my branily thing

Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

Answer:

Step-by-step explanation:

10x - 15 + 4x + 4

14x - 11

Look at the graph, which y values can the graph hit?

Anything above zero would be the right answer, since there is an asymptote at [tex]y=0[/tex].

So the range would be [tex]y>0[/tex]

Hope this helps.

頑張って!

Answer:

11/19

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

complimentary which means both angles are the same and on the opposite sides of each other

im not sure if the explanation is correct but im pretty sure the answer is

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

Answer:

The integer that represents 15 degrees below 0 is -15°F.

Step-by-step explanation:

This is because the phrase "15 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -15.

The thermometer shows - 15°F  the temperature is 15 degrees below zero.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The Fahrenheit scale is a temperature scale based on one proposed in 1724 by the physicist Daniel Gabriel Fahrenheit.

Given, A Fahrenheit thermometer shows that the temperature is 15 degrees below zero.

So, If we assume the thermometer as a number line it is 15 units left to the origin.

∴ (0 - 15)°F.

= - 15°F.

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Answer:

10.5 inches

Step-by-step explanation:

Equalilateral triangle means all the 3 sides are equal

So perimeter of equilateral triangle=3(side)

=>3(3.5)

=>10.5

Answer:

Step-by-step explanation:

Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;

[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]

add 22 to both sides

[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]

[tex]{2x^{5/3} =486[/tex]

divide both sides by 2

[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]

raise both sides to the power of 3/5

[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]

Hence the value of x is 27

Answer:

x=+30

Step-by-step explanation:

1200-5(3x+30)=600

We move all terms to the left:

1200-5(3x+30)-(600)=0

We add all the numbers together, and all the variables

-5(3x+30)+600=0

We multiply parentheses

-15x-150+600=0

We add all the numbers together, and all the variables

-15x+450=0

We move all terms containing x to the left, all other terms to the right

-15x=-450

x=-450/-15

x=+30

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 30}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1200 - 5(3x + 30) = 600}[/tex]

Distribute 5 through the parentheses

[tex] \dashrightarrow{ \sf{1200 - 15x - 150 = 600}}[/tex]

Subtract the numbers: 150 from 1200

[tex] \dashrightarrow{ \sf{ - 15x + 1050 = 600}}[/tex]

Move 1050 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 15x = 600 - 1050}}[/tex]

Subtract 1050 from 600

[tex] \dashrightarrow{ \sf{ - 15x = 450}}[/tex]

Divide both sides of the equation by -15

[tex] \dashrightarrow{ \sf{ \frac{ - 15x}{ - 15} = \frac{ - 450}{ - 15} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 30}}[/tex]

Hope I helped!

Best regards! :D

Answer:

3.7ml/hr

Step-by-step explanation:

From the question

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion

Step 1

The patient weighs 110lb(pounds

Convert the patients weight to kilogram

1 lb = 0.454kg

110lb =

Cross Multiply

110lb × 0.454kg

= 49.94kg

The patient weight = 49.94kg

Step 2

The dosage to to be administered by the nurse = 2 mcg/kg/min

If 1 kg = to be administered 2mcg/min

49.94 kg =

(49.94kg × 2mcg/min)/1

= 99.88mcg/min

Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min

Step 3

Available dopamine is 400mg in 250ml

We have to convert this to mcg

Hence,

1 mg = 1000mcg

400mg =

Cross Multiply

= 400mg × 1000mcg

= 400000mcg

Hence, the available dopamine is administer in 250ml/400000mcg

Part 3

Since 60 minutes is 1 hour

The nurse should set the IV pump to deliver how many ml/hr

(99.88mcg/min × 250ml × 60mins)/ 400000mcg

= 3.7455ml/hr

Approximately to the nearest tenth = 3.7ml/hr

Answer:

Combining like terms

Step-by-step explanation:

Answer:

Kilimanjaro: Facts About Africa's Highest Peak Kilimanjaro is the highest mountain in Africa at 19,341 feet (5,895 meters), but it isn't a mountain in a traditional sense. ... Uhuru Peak is the highest summit on Kibo's crater rim. Uhuru, Swahili for "Freedom," was named in 1961 when Tanganyika gained its independence

Step-by-step explanation:

It is more closer to 3.

                                              [tex]Explanation[/tex]

___________________________________________________________

[tex]1.[/tex] Find the square root of 8.

√[tex]8= 2.8[/tex]

[tex]2.[/tex] Figure out if 2.8 is closer to 2, or 3.

2.8 is closer to 3 than 2.

Answer:

-16

Step-by-step explanation:

Answer:

A quadratic binomial is a second degree binomial, such as 3x2+2.

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

40

There isnt a way the LCD can go lower, because 5 only counts by 5's and 5 and 8 meet at 40.

Answer:

least common denominator of 5 and and 8 is  40

Cost of white shirt = 2.50 $

Cost of blue shirt = 1.50 $

We have asked to find percentage difference[tex].[/tex]

_________________________________

[tex]:\implies\sf\:\dfrac{cost_{blue}-cost_{white}}{cost_{blue}+cost_{white}}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{2.50-1.50}{2.50+1.50}\times 100[/tex]

[tex]:\implies\sf\:\dfrac{1}{4}\times 100[/tex]

[tex]:\implies\:\boxed{\bf{\gray{25\:\%}}}[/tex]