factorise 4a + 8b - 24

Answer: X=15

Step-by-step explanation:

GH+HJ= GJ

27+27=4x-6

54=4x-6

60=4x

15=x

Answer:

$9.86

Step-by-step explanation:

First, write both numbers in the same form. Convert 8

1

2

to a decimal.

8

1

2

= 8+

1

2

= 8+

1×5

2×5

= 8+

5

10

= 8+0.5

= 8.5

Multiply.

11.6

× 8.5

580

+ 9280

98.60

Kendra earned $98.60 last week.

Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates  

1

10

of her earnings each week.

First, write both numbers in the same form. Convert  

1

10

to a decimal.

1

10

=0.1

Multiply.

98.6

× 0.1

9.86

Kendra donated $9.86 to the charity last week.

Answer:

6 years

Step-by-step explanation:

Given

[tex]Initial\ Investment = 150[/tex]

[tex]Ratio = double[/tex]

Required

When will it get to 4000

This question illustrates a geometric progression and will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case;

[tex]T_n = 4000[/tex]

[tex]r = double = 2[/tex]

[tex]a = 150[/tex]

So, we're to solve for n

[tex]4000 = 150 * 2^{n - 1}[/tex]

Divide through by 150

[tex]\frac{4000}{150} = 2^{n-1}[/tex]

[tex]26.67= 2^{n-1}[/tex]

Take Log of both sides

[tex]Log26.67= Log2^{n-1}[/tex]

Apply law of logarithm

[tex]Log26.67= ({n-1})Log2[/tex]

Take Log values

[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]

Make n - 1 the subject

[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]

[tex]n - 1 = 4.73714591984[/tex]

Add 2 to both sides

[tex]n = 1 + 4.73714591984[/tex]

[tex]n = 5.73714591984[/tex]

[tex]n = 6[/tex] (Approximated)

Hence, it'll take 6 years

-5: negative five

-: minus

4n: a number times four

Put everything together.

Negative give minus a number times four.

Best of Luck!

Answer:

The answer is

Step-by-step explanation:

Volume of a cylinder is given by

where

r is the radius of the cylinder

h is the height

From the question

r = 8 units

h = 11 units

Substitute the values into the above formula and solve

V = 3.14(8)²(11)

= 3.14(64)(11)

= 3.14 × 704

We have the final answer as

V = 2210.56 units³

Hope this helps you

The missing side of the triangle is measure 13 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two sides of right triangle are,

⇒ 5 cm, 12 cm

Since, The triangle is a right triangle.

So, We can apply the Pythagoras theorem as;

Let the measure of missing side = x

⇒ x² = 5² + 12²

⇒ x² = 25 + 144

⇒ x² = 169

⇒ x = √169

⇒ x = 13 cm

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Answer:

2

Step-by-step explanation:

hold one finger up, and add another, then count how many fingers you have

Answer:

2

Step-by-step explanation:

Answer:

(1, 28 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]

here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus

midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )

Answer:

w = ⇒ 21

x = ⇒ 13

y = ⇒ -11

z = ⇒ -16

Step-by-step explanation:

The value of the matrix will be   [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.

[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]

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Answer:

9.62

Step-by-step explanation:

Simplify the expression.

(6.42)+(-3.2)= 9.62

Answer: 10p+9g

Step-by-step explanation:

2(5p+2g)+5g

10p+4g+5g

10p+9g

Step-by-step explanation:

2x + 1 + x - 13 = 180° because these angles are supplementary

3x - 12 = 180°

3x = 180 + 12

3x = 192 divide both sides by 3

x = 64

2x + 1 ➡ 2 × 64 + 1 = 129°

x - 13 ➡ 64 - 13 = 51°

Answer:

12.5mg

Step-by-step explanation:

500ml÷100ml= 5

2.5mg×5= 12.5mg

Answer:

6/6 = to 1

10/2=to 5

2/6= to 1/3 or 0.3333333333

Step-by-step explanation:

6/6 divide by 1

10/2 10 divide by 2

2/6 reduce to 1/3 or o.3333333333

Answer:

Step-by-step explanation:

g(x) = -2x - 4

f(-2x -4)

5(-2x - 4) + 7

-10x - 20 + 7

-10x - 13

Answer:

The correct answer is 4,672.18.

Step-by-step explanation:

To solve this problem, we must look at the number we are given and determine what numbers are in which places.  The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.  

The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit.  In the number given, the number 8 is in the hundredths place.  Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place.  This makes our answer 4,672.18.

Hope this helps!

Answer:

Rational

Step-by-step explanation:

The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.

The sales price is 44. 37 dollars.

Answer: $44.37

Step-by-step explanation:

63.38 x 30/100 (or x 0.3)

You save: $19.01

$63.38 - $19.01 = Final price of $44.37

Answer:

[tex]\frac{3}{7}y - 4[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

Step-by-step explanation:

Answer:Aka) A

Step-by-step explanation:

In 6d + 8 = 14 + 3d , D=2

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

sfhjty

Step-by-step explanation:

Answer:

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

[tex]q(x) = 2x - 1[/tex]

Step-by-step explanation:

Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]

Let

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

[tex]q(x) = \frac{f(x)}{g(x)}[/tex]

Where g(x) is the divisor

[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]

Factorize the numerator

[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]

[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]

[tex]q(x) = 2x - 1[/tex]

Notice that: q(x) and g(x) have the same degree of 1

Answer: Group 1 is the dependent variable, and group 2 is the independent

Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.

The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.

Answer:

-2.4

Step-by-step explanation:

distribute the -4 and -2

add 12p to both sides

subtract 12 from both sides

divide