Factorise fully the following:
a) x^2 + 3x
b) 2x^2- 8x
c) 6x + 9x^3
d) 12x^3- 4x^2​

Answer: I just did

Step-by-step explanation:

Answer: X= - or + square root of 10

Step-by-step explanation: both negative or positive roots would multiply to be 10

Answer:

hfbhlbghulbfrhbuf

Step-by-step explanation:

hbbfhhbfhfhlflb frf

Answer:

19/12 or 1 7/12

Step-by-step explanation:

1/4*3=3/4

3/4+5/6

9/12+10/12= 19/12

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

14: k^-3/k^4= 1/k^7

15: answer : 1/3²

16: n^-4

17: f-g^4 = 3-(-5)^4 = -622

18: (x^5-y^2)²+x³ =

(2^5-8^2)²+2³ =1032

19: m²-n³

6²-2³ = 36-8=28

20 : 2²×3²×5³= 4500

4500/10 = 450 islands

Answer:

The volume of only the cheese popcorn is 392.5 cubic inches.

Step-by-step explanation:

To determine the volume of only the cheese popcorn,

First, we will determine the volume of the cylindrical tin

The volume of a cylinder is given by

V = πr²h

Where V is the volume of the cylinder

π is a constant, (Take π = 3.14)

r is the radius of the cylinder

and h is the height of the cylinder

From the question, the tin is 10 inches in diameter and 15 inches tall.

Diameter = 10 inches, therefore, we can find radius

Radius = Diameter/2 = 10/2 = 5 inches

r = 5 inches

h = 15 inches

Now, putting the values into the equation, we get

V = 3.14 × 5² × 15

V = 1177.5 cubic inches

This is the volume of the cylindrical tin.

Since the cylindrical tin is divided into three equal sections of caramel, cheese, and buttered flavors, then the volume of only the cheese popcorn will be one-third of the total volume of the cylindrical tin.

∴ The volume of only the cheese popcorn = 1/3 × 1177.5 = 392.5 cubic inches

Hence, the volume of only the cheese popcorn is 392.5 cubic inches.

Answer:

3 cups

Step-by-step explanation:

If you multiply 2/4 x the 6 cakes he has to make you get a total of 3. He will need 3 cups of sugar for ALL 6 cakes.

Hope this helps☺️

Answer:

Length of AC is 10 cm

Step-by-step explanation:

Here , we are interested in calculating the length of the diagonal AC.

Please check attachment for the pictorial representation;

From the diagram, we can see that the length

AC = AE + EC

Also, the length AE = EC

So the value of AC = 5cm + 5cm = 10 cm

Since you asked, simply, to know how a ratio is equivalent to another.

Ratios are like fractions in the way that they can be multiplied and simplified. 1:2, for example, can also be 10:20, 5:10, etc. This is inherent to the way a ratio works - say, for every 1 person, there are two cheese slices. This means that when the group gets larger, so does the amount of cheese slices.

Now, to find an equivalent ratio. You can simplify 4:6 by finding the GCF (greatest common factor) of these two numbers - something you can divide both of them by evenly. In this case, the GCF is 2. We divide both 'sides' by 2, and we get a simplified ratio of 2:3. You can then multiply this by different numbers (ones that are logical and could reasonably lead you to an answer on your worksheet or whatnot) until you find an equivalent ratio.

Answer:

a) 0.2 L

b) 4800 ml

c) 2400 ml

Step-by-step explanation:

Total volume of water = 5 litres

Since 1000 milliliters make 1 L

5L = 5000 ml

a) litres of water spilt = 200/1000 = 0.2 L

b) milliliters of water remaining = 5000 - 200 = 4800 ml

c) since it was expressly stated in the question that the remaining water was divided evenly; 4800/2 = 2400 ml in each bowl

Answer:

$0.014

Step-by-step explanation:

Given that :

Sales price of 33-pound bag of oranges = $3.60

Sales price of 55-pound bag of oranges = $5.25

Price per pound of 33-pound bag:

Sales price / number of pounds

= $3.60 / 33

= $0.109 per pound

Price per pound of 55-pound bag:

Sales price / number of pounds

= $5.25 / 55

= $0.095 per pound

Difference in price per pound of 33-pound bag and 55-pound bag of oranges :

$0.109 - $0.095

= $0.014

Answer:

x < 20

Step-by-step explanation:

Answer:

X<20

Interval notation

(-oo,20)

Step-by-step explanation:

Answer:

4.93 seconds

Step-by-step explanation:

The height y in feet of water t seconds after its release is given by the equation as follows :

[tex]y=-16t^2-2t+400[/tex]

We need to find the taken taken for the water to reach the ground. When it reach the ground, y will be equal to 0. So,

[tex]-16t^2-2t+400=0[/tex]

Above is a quadratic equation whose solutions can be calculated as follows :

[tex]t=\dfrac{-(-2)\pm \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=\dfrac{-(-2)+ \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}, \dfrac{-(-2)- \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=-5.062\ s\ \text{and}\ 4.93\ s[/tex]

Neglecting negative value.

Hence, it will take 4.93 seconds for the water to reach the ground

Answer:

86 meters equals 3385.83 inches

825 centimeters equals 324.803 inches

Step-by-step explanation:

The formula is divide the length value by 2.54

Hope this helps!

Answer:

xy^(2)z^(6)

Step-by-step explanation:

i hope that helps  you :)

Answer:

5 meters

Step-by-step explanation:

below sea level:negative

above sea level :positive

-2 meters + 7 meters = 5 meters

Amsterdam is 5 meters higher than Lammefjord.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

It is given that the city of Amsterdam is 2 meters below sea level. Lammefjord, a city in Denmark is 7 meters below sea level.

Let's understand the sign convention:-

Below sea level: negative

Above sea level: positive

The level is calculated below as:-

-2 meters + 7 meters = 5 meters

To know more about Expression follow

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Answer:

B, the second option

Step-by-step explanation:

If there points are collinear then they lie on the same line

Answer:

Step-by-step explanation:

Earning per week

Earning in 8 weeks

Second option is correct

Answer:

SAS

Step-by-step explanation:

two sides are same, and the angles between the sides are same (vertical).

Answer:

1/2

Step-by-step explanation:

Answer:

96 miles

Step-by-step explanation:

The distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 miles

Answer:

220

Step-by-step explanation:

Step-by-step explanation:

in my opinion

2(4x-5)-2=-4

=2×4x-2×5-2=-4

8x-10-2=-4

8x=-4+10+2

8x=-4+12

8x=-16(divide both sides by 8)

×=2

Answer:

D- 224

Step-by-step explanation:

10% of 140 is 14

So then you multiply 14 by 6 to get 60%

then you add that to 140 to equal 224.

The correct statement is that if the sales of burgers at Nick's Burgers increases by 60%, the total sales per day will be increased to 224 burgers per day from 140 burgers per day.

An increase in sales refers to as the positive shift in the sales of goods as compared to previous sessions during a given period of time, given that other factors vary.

The increase in sales will happen as a result of the strategies that may have been adopted by Nick or increase in the demand due to external factors.

The calculation of increased no. of burgers sold per day can be calculated by using the formula and putting the values given in the example as below,

increased sales  = 224

So, the new sales of burgers per day is calculated as 224 per day.

Hence, an increase in sales of burgers at Nick's by 60% will result in sales of 224 burgers per day from 140 burgers per day.

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Answer:

Here's the solution.

Step-by-step explanation:

Okay so,

12 with an exponent of 5 equals 248832 because you multiply 12*12*12*12*12.

12 with an exponent of 4 equals 20736 because you multiply 12*12*12*12.

Since it's division you use the inverse which is multiplication.

Therefore 248832×20736=5159780352

So 12 with an exponent of what number equals 5159780352?

12 with an exponent of 9.

To check your answer do 5159780352 divided by 248832 which equals 20736.

Therefore your answer would be C.

I hope this helps you understand and your cursor is cool, it's the yin yang symbol, correct? How did you do that?

Answer: 114

Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.

Answer:

C

Step-by-step explanation:

∠ BHC = ∠ FAB = 48° ( alternate angles )

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle, thus

∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C