the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?​

[tex]2x - \frac{3}{4} = \frac{1}{3} x + \frac{5}{6} \\ = > 2x - \frac{1}{3} x = \frac{5}{6} + \frac{3}{4} \\ = > \frac{6x - x}{3} = \frac{10 + 9}{12} \\ = > \frac{5x}{3} = \frac{19}{12} \\ = > x = \frac{19}{12} \times \frac{3}{5} \\ = > \frac{19}{20} \\ [/tex]

Therefore,

[tex]x = \frac{19}{20} [/tex]

verified.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

  -3

Step-by-step explanation:

We can add -3x to put the equation into slope-intercept form.

  y = -3x +15

The gradient of the line (slope) is the coefficient of x: -3.

The gradient is -3.

Answer:

Step-by-step explanation:

The hands are two line segments that share the same endpoint.

Answer:

Its not linear

Step-by-step explanation: Linear means it travels in a perfect line

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].

Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.

The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]

where

[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]

substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]

the approximate volume of the frustum is [tex]1769cm^3[/tex]

Learn more about the volume of a frustum here: https://brainly.com/question/14177094

Answer: Undefined: Needs more data

Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?

[tex] \: \: \: \: \: \: [/tex]

[tex]a.) \: \: \: \: \frac{36}{5} [/tex]

[tex]d.) \: \: \: \: - \frac{ 15}{2} [/tex]

Answer:

A= 7 1/5

D=  -7 1/2

Step-by-step explanation:

Hope this helped!

This is in mixed form btw

inproper fraction:

A= 36/5

D: -15/2

Answer:

27 I do believe so sorry if im wrong

Step-by-step explanation:

Step-by-step explanation:

substitute the value of y

3x+2x+3=-2 (collect like term)

5x=-2-3 (calculate the difference)

5x=-5 (both side over 5)

x=-1

i hop it helps you❤

Answer:

D

when you look at it it is upside down so d is the right answer

Answer:

45/10 =4.5

4.5 x 7 = 31.5

Hight = 31.5

Answer:

B.

Step-by-step explanation:

Since they are equal do.

45 divided by 10

which equals 4.5.

So the image is being reflected by a 4.5 times bigger scale.

So then you do,

7 x 4.5

which is 31.5.

Answer:

8 units

Step-by-step explanation:

Area of square = 2x3 = 6 units

Area of triangle = (2x2)/2 = 2 units

Total area = 6 +2 = 8 units

Answer:

As previous answer stated, 8 units

Step-by-step explanation:

You multiply one side of the square by another to get 6 units, then, add the units from the triangle

Answer:

Answer:

safe speed for the larger radius track u= √2 v

Explanation:

The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.

Also given that r_1= smaller radius

r_2= larger radius curve

r_2= 2r_1..............i

let u be the speed of larger radius curve

now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=

r

1

mv

2

=

r

2

mu

2

................ii

form i and ii we can write

v^2= \frac{1}{2} u^2v

2

=

2

1

u

2

⇒u= √2 v

therefore, safe speed for the larger radius track u= √2 v

Answer:

3/5

Step-by-step explanation:

Answer: I think it might be negative

Step-by-step explanation:

Answer:

Both graphs have a y-intercept of (0,1) and y=6^x is steeper

Step-by-step explanation:

Plug in 0 for x to find the y-intercept. THey would both be raised to the 0th power meaning both y's equal 1. So, they both have the y-intercept of (0,1).

y=6^x is steeper becuase when you graph it, you can see it is. Also of course 6 is higher than 3.

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Answer:100$

Step-by-step explanation: you multiply 40x1 and 20x3

Answer:

(11/7)x + (3/7)y

Step-by-step explanation:

Perform the indicated multiiplication.  We get:

(6/7)x - (2/5)y + (5/7)y + (5/7)x

Now combine like terms, obtaining:      (11/7)x + (3/7)y

An alternative expression would be (1/7)(11x + 3y)

Answer: What question do you need help with?

Answer:

do u eat cat litter

Step-by-step explanation:

Answer:

4 of each, 8 pumpkin bags, 7 banana bags

Step-by-step explanation:

4 is the GCF of 32 and 28.

Divide each number by 4

Answer

320

Step-by-step explanation

150 + 10 = 160

160 * 2 because it said than half the amount he received last year = 320!

Answer:

Step-by-step explanation:

Conclusion:

Therefore, n = 1/9

Hoped this helped.

[tex]GeniusUser[/tex]

Probabilities are used to determine the chances of an event

The probability of event B is 0.62

The probabilities are given as:

[tex]\mathbf{P(A) = 0.48}[/tex]

[tex]\mathbf{P(A\ and\ B) = 0.21}[/tex]

[tex]\mathbf{P(A\ or\ B) = 0.89}[/tex]

To calculate the probability of event B, we make use of the following formula

[tex]\mathbf{P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)}[/tex]

So, we have:

[tex]\mathbf{0.21 = 0.48 + P(B) - 0.89}[/tex]

Collect like terms

[tex]\mathbf{P(B)= -0.48 +0.21 + 0.89}[/tex]

[tex]\mathbf{P(B)= 0.62}[/tex]

Hence, the probability of event B is 0.62

Read more about probabilities at:

https://brainly.com/question/11234923

To make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

To write an equation in the subject of a specified variable, isolate this variable at one side of the equation using the mathematical operations.

The expression given in the problem is,

[tex]p=6q +7[/tex]

This equation need to be written as the subject of q. Subtract 7 both side of the equation to do this,

[tex]p+7=6q +7-7\\p+7=6q[/tex]

Divide both side of equation with number 6.

[tex]\dfrac{p+7}{6}=q[/tex]

Rewrite the equation as,

[tex]q=\dfrac{p+7}{6}[/tex]

Thus, to make q the subject of provided equation p equal to 6q +7, rewrite the equation in terms of q as q=(p+7)/6.

Learn more about the unknown variable here;

https://brainly.com/question/1235185

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