Solve for the value of m.
(5m+3)
(8m-4)

Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

a-b/c

or

0.6-0.2/.5

0.6-0.4

0.2

Answer: 1:3

Step-by-step explanation:

there are 3 squares and 6 triangles.

as a ratio we would write this as 3:6

all we need to do is simply it by dividing 3 on both sides

this would give us the ratio of 1:3

hope this helps :)

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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The requried only prime polynomial among the given options are 2x²+ 7x + 1, 3x² + 8, and  x²+36.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.

Here,
The first polynomial 2x²+ 7x + 1 cannot be factored therefore it is a prime polynomial.

The second polynomial 5x²-10x + 5 can be factored as 5(x-1)² and is therefore not a prime polynomial.

The third polynomial 3x² + 8 cannot be factored over the integers and is therefore a prime polynomial.

The fourth polynomial 4x²-25 can be factored as (2x-5)(2x+5) and is therefore not a prime polynomial.

The fifth polynomial x²+36 cannot be factored therefore it is a prime polynomial.

Therefore, the only prime polynomial among the given options is 3x² + 8.

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Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

285 square centimeters

Step-by-step explanation:

Make sure all the units are the same and consistent

This figure is a Prism where the Base shape is a combination of a rectangle and an isosceles triangle

Area of a rectangle = Length × Breadth

Area of a triangle = \(\frac{1}{2}\) × (Base of triangle) × (Perpendicular height of triangle)

The perpendicular height of 4 cm divides the isosceles triangle into two equal right-angled triangles. The length of slant height of the right-angled triangle can be determined using the Pythagorean Theorem:

hyp = Hypotenuse = Slant height

opp = Opposite = 4 cm

adj = Adjacent = 8 cm

\(hyp^{2} = opp^{2} + adj^{2}\)

\(hyp^{2} = 4^{2} + 4^{2}\)

\(hyp^{2} = 16 + 16\)

\(hyp^{2} = 32\)

\(\sqrt{hyp^{2}} = \sqrt{32}\)

∴hyp = Slant height = \(\sqrt{32}\) cm

Every face of this figure has to be analyzed carefully while calculating the Surface Area:

Front and Back Faces = 2 × [Area of rectangle + Area of triangle]

                                      =  2 × [(6 × 8) + (\(\frac{1}{2}\) × 8 × 4)]

                                      = 2 × [48 + 16]
                                      = 2 × 64

                                      = 128 square centimeters

Left and Right Faces =

                                   2 × [Area of top rectangle + Area of bottom rectangle]
                               =  2 × [(5 × 6) + (5 × \(\sqrt{32}\))

                               = 2 × [\(30 + 5\sqrt{32}\)]
Expand the parenthesis using the Distributive Law:

                               = \((2)(30) + (2)(5\sqrt{32})\)
                               = (\(60 + 10\sqrt{32}\)) square centimeters

Bottom Face =  Area of rectangle

                      = 8 × 5

                      = 40 square centimeters

∴Total Surface Area of this figure = (128 + 60 + \(10\sqrt{32}\) + 40) \(cm^{2}\)

                                                          = (228 + \(10\sqrt{32}\)) \(cm^{2}\)

                     = 285 square centimeters (Rounded to 3 significant figures)

The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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Answer:

  (a) No; rainfall amounts are positive

Step-by-step explanation:

Rainfall amounts are measured using a gauge that reports the amount as zero when the gauge is empty. Any rainfall adds to the amount in the gauge, so is reported as a positive number. There is no way to remove more rainfall than is in the gauge, so there is no way to have a negative rainfall amount

A prediction of a negative rainfall amount makes no sense, because you can't have a negative amount of rainfall.

Answer:

hai how are you hope you are fine

Answer: an irrational number between 4 and 7 would be 5

Step-by-step explanation:

Answer:

Set of rational numbers

Step-by-step explanation:

Answer:

the set of rational numbers

Step-by-step explanation:

Edge 2021

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer: C = 170

Step-by-step explanation: 45+45+40+40 = 170

Answer:

Your answer is: B) 175ft

Step-by-step explanation:

To fid the perimeter you need to add all the sides together. Don't forget to add the sides that are not labeled, as well as the extra 5ft.

45+45+40+40+5=175

Answer:

A = 22.62°

B = 67.38°

c = 26

Step-by-step explanation:

\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)

\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios

\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)

There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.

The sets A and B are not equal, but they are equivalent.

We have,

The concept used is set notation and comparison.

a)

The sets A and B are equivalent because they contain the same elements, which are real numbers (x) that satisfy the given conditions.

b)

Sets A and B are not equal because the condition in Set A includes endpoints 97 and 102, while the condition in Set B excludes endpoints 96 and 103.

Therefore, the sets have different boundaries and elements.

Thus,

The sets A and B are not equal, but they are equivalent.

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Answer:

40,000,000

Step-by-step explanation:

Answer:

Step-by-step explanation:8  4  9  5  6  7  0  5  3  

Ones : 3

Tens : 5

Hundreds : 0

Thousands : 7

Ten Thousands : 6

Hundred Thousands : 5

Million : 9

Ten Million : 4

Hundred Million : 8

Answer:

\([7\times(-2)]^5 = 7^5 \times (-2)^5\)

Step-by-step explanation:

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:6

Step-by-step explanation: Since the angles are the same, the sides will be proportionate in each triangle.  

12/8 = 1.5 so 9/x = 1.5.

x=6

Answer:

A. 1/4

Step-by-step explanation:

Find 2 points:

(0,6) (8,8)

Find the slope:

(8-6) / (8-0) = 2/8 = 1/4

Answer:

slope = 1/4

Step-by-step explanation:

Givent the two points on the graph, (0, 6) (8, 8), we can use the slope formula:

\(m = \frac{y2 - y1}{x2 - x1}\)

let (x1, y1) = (0, 6)

(x2, y2) = (8, 8)

Plug these values into the slope formula:

\(m = \frac{y2 - y1}{x2 - x1}\)

\(m = \frac{8 - 2}{8 - 0} = \frac{2}{8} = \frac{1}{4}\)

Therefore, the slope of the line is 1/4.

The solution goes thus:

Hence , 35% of 60 is 21

Answer: $0.67.

Step-by-step explanation:

To find the price per foot of the waxed paper, we need to convert the price from yards to feet and then divide the total cost by the length in feet.

Given:

Length of waxed paper roll = 2 yards

Cost of waxed paper roll = $4.02

1 yard is equal to 3 feet. Therefore, the length of the waxed paper roll in feet is:

Length in feet = 2 yards * 3 feet/yard = 6 feet

To find the price per foot, we divide the total cost by the length in feet:

Price per foot = Cost / Length in feet

Price per foot = $4.02 / 6 feet

Dividing gives us:

Price per foot = $0.67 per foot

Therefore, the price per foot of the waxed paper is $0.67.