If p varies inversely as q and p =8 when q=10,find p when q=4

Answer:

y=58°

x=122°

Step-by-step explanation:

y=58°[°•°being corresponding angles]

Now,

x+y=180[°•°co-interior angles]

or, x=180-58

•°•x=122

Answer:

(a) 25

(b) $4816

Step-by-step explanation:

Let's say the starting amount of ducks is d, and the starting amount of chickens is c. Since there are only ducks and chickens, we can say that d + c= 455.

Next, the farmer sells 2/5 of the ducks, so we subtract 2/5 of the ducks so that the ending duck amount is d - (2/5)d = (3/5) d

After that, the farmer buys another 104 chickens, so we add 104 chickens to the current amount of chickens to get the ending chicken number as 104+c

Given the ending duck and chicken count, we can say that the ending farm animal count (we can represent this as a) is (3/5)d + 104 + c = a

The number of ducks is 2/3 the total number of animals at the end, so (3/5)d = (2/3)a

Let's list our equations out so it is easier to solve:

d+c = 455

(3/5)d + 104 + c = a

(3/5)d = (2/3)a

We have three equations and need to solve for three variables. One common variable in all three equations is d, so it might help if we put everything in terms of d.

Starting with d+c=455, if we subtract d from both sides, we get c=455-d. We can substitute this in the second equation to get

(3/5)d + 104 + 455 - d = a

-(2/5)d + 559 = a

(3/5)d = (2/3)a

Next, we can substitute for a. If we multiply both sides by 3 and then divide by 2 in (3/5)d = (2/3)a , we get

(9/10)d = a

Substitute that in to the second equation to get

-(2/5)d + 559 = (9/10) d

-(4/10)d + 559 = (9/10) d

add (4/10)d to both sides to isolate the variable and its coefficient

(13/10)d = 559

multiply both sides by (10/13) to isolate the coefficient

d = 430

Therefore, the starting number of ducks is 430 and the starting amount of chickens is 455-430 = 25

For (b), 2/5ths of the ducks are sold, so this is (430) * (2/5) = 172. Each duck is sold for 28 dollars, so this is 172*28=$4816 as the total price

Answer:

These figures are not similar

Step-by-step explanation:

The two sides are proportional, but the angle between them are not congruent.

One angle is marked with one arc.

The other is marked with two arcs.

They must have the same number or arcs to be considered congruent.

Tricky

Answer:4

Step-by-step explanation:

but they said it would have toend

Answer:

Mean

Step-by-step explanation:

Finding the mean, or the average, of the different weights that were measured, would best estimate the true mass of the solid.

This would find the average mass, which would be the most accurate estimate of the solid's actual mass.

Using the minimum, maximum, and mode will not take into account the other weights that were measured. This makes it much more inaccurate.

So, the correct answer is Mean.

Answer: [tex]26,400\ ft[/tex]

Step-by-step explanation:

Given

Each side of the pentagon measures [tex]1760\ ft[/tex]

A complete trip is equivalent to the perimeter of the perimeter

[tex]\Rightarrow \text{Perimeter of the Pentagon P=}5\times 1760\\\Rightarrow P=8800\ ft[/tex]

For Three rounds, he completed a distance of  

[tex]\Rightarrow P=3\times 8800\\\Rightarrow P=26,400\ ft[/tex]

The solution of the given quadratic equation is x = -2.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given is a quadratic equation x²+4x+4 = 0, we need to solve it using the Quadratic Formula:

The formula for the same is given by -

x = -b ± √b²-4ac / 2a

Here,

a = 1, b = 4 and c = 4

Put in the formula,

x = -4 ± √4²-4(1)(4) / 2

x = -4 ± √16-16 / 2

x = -4 ± √0 / 2

x = -4/2

x = -2

Hence, the solution of the given quadratic equation is x = -2.

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Work Shown:

x = length of PQ

3x-20 = length of QS, since its 20 less than 3 times PQ

The triangles are similar (we can prove this through the AA similarity theorem), so we can set up a proportion like shown below to solve for x.

PT/RS = PQ/QS

6/8 = x/(3x-20)

6(3x-20) = 8x ..... cross multiplying

18x-120 = 8x

18x-8x = 120

10x = 120

x = 120/10

x = 12

So PQ is 12 units long.

This then means QS = 3x-20 = 3*12-20 = 36-20 = 16

Answer:

Step-by-step explanation:

Expression given:-

Substaract 7 from sum of 9 and 8

Convert it to algebraic term

[tex]\\ \sf\longmapsto (9+8)-7[/tex]

[tex]\\ \sf\longmapsto 17-7[/tex]

[tex]\\ \sf\longmapsto 10[/tex]

Answer:

Step-by-step explanation:

a) 8 * 3 = 24 cm^2

b) 5.2 * 7.7 = 40.04 cm^2

Answer: $15927.183

Step-by-step explanation:

Price of good= $29,000

Trade discount = 40½ 20¼/5

The first discount will be:

= 40½ × $29000

= $11745

Then, the price after the first discount will be:

= $29000 - $11475

= $17255

Then, the second discount will be:

= $17255 × 20¼%

= $3494.14

Then, the price after the second discount will be:

= $17255 - $3494.14

= $13760.86

The third discount will be:

= $13760.86 × 5%

= $688.043

Then, the total discount will be:

= $11745 + $3494.14 + $688.043

= $15927.183

Therefore, the trade discount is $15927.183.

Step-by-step explanation:

Answer:f(x)=-5x^(2)-3x+9 this is the standard form

Answer:

a) 128°

b) Opposite angles of a cyclic quadrilateral add up 180°

Step-by-step explanation:

→ Work out ABD

180 - 116 = 64°

→ Use the theorem 'The angle at the centre is twice the angle at the centre'

2 × 64 = 128°

→ Use the cyclic quadrilateral theorem

Opposite angles of a cyclic quadrilateral add up 180°

The value of x is 128 degree when the angle CBD is of 116 degree.

It is a four sided polygon having four angles and four corners.

Firstly we find angle ABD which is 180-116=64 Degrees because the angle at the center is twice the angle on the any point of circle.

So the value of x becomes 2*64=128 degrees.

By using the cyclic quadrilateral theorem opposite angles of a cyclic quadrilateral has a sum of 180 degrees.

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Answer:

Let the MP of 1 article = Rs 1

MP of 15 article = Rs 15

SP of (15+1) articles = 15 x 96/100

= Rs 14.40

CP of 16 article = 14.40/135 x 100

= Rs 32/3

CP of 1 article = 32/3x16

= Rs 2/3

Required % = 1/3 x 3/2 x 100

= 50

Answer:

0.2210

Step-by-step explanation:

If p = 0.04

then 1-p = 1 - 0.04 = 0.96

So we have the probability distribution value

as;

n C r * p^r * (1-p)^(n-r)

Thus;

64 C 3 * p^3 * (1-p)^(64-3)

= 64 C3 * 0.04^3 * 0.96^61

where 64 C 3 is 64 combination 3

= 41,664 * 0.04^3 * 0.96^61

= 0.2210

Answer:

1,2,3,4

Step-by-step explanation:

I'm not sure, but i think it is

Step-by-step explanation:

the equation is

3n-1 = 5n-7

2n= 6

n= 3

Answer:

The answer is D.

Step-by-step explanation:

D is the only choice that properly connects each part of the equation, such as 6*50-6 -> 300-6.

Answer:

The angle between his home, his friends house and grocery store

Step-by-step explanation:

The given angle are;

The angle between the bus stop, the park and his home

The Angle Angle Similarity Theorem can be used to determine if the streets are parallel by verifying if there are congruent corresponding angles  on the streets between his friends house and the grocery store and the street between the park and the bus stop

Therefore, the angle he needs to know is the angle between his home, his friends house and grocery store which are same side interior angles and they should sum to 180° to give the angle between the road and the other side of his friend's house

Answer:

1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

Answer: B) ^6√2

Both expressions equal 1.22

Step-by-step explanation:

Answer:

Rs. 28,571.4

Step-by-step explanation:

Let

Cost price = x

Profit = 5% of x

= 0.05x

Selling price = Rs.30, 000

Profit = Selling price - cost price

0.05x = 30,000 - x

Collect like terms

0.05x + x = 30,000

1.05x = 30,000

x = 30,000/1.05

x = Rs. 28,571.428571428

Approximately,

Cost price = x = Rs. 28,571.4

x=119

hope it doesn't help you!!

Answer:

25%

Step-by-step explanation:

We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.

Answer:

[tex]2*3^{2} *5[/tex]

Step-by-step explanation:

90 = 45 = 15 = 5

        2       3     3

                  2    3

                         2

Hi!

-4(x - 5) + 8x = 9x - 3

-4x + 20 + 8x = 9x - 3

-4x + 8x - 9x = -3 - 20

-5x = -23

Answer: B

Answer:

B

Step-by-step explanation:

-4x +20 +8x = 9x -3. That's equall to 4x+20=9x-3. subtract 9x both sides, -5x+20=-3. subtract 20 both sides, -5x=-23.

Part A

Explanation:

A histogram is best because it helps show how the scores breakdown for the various bins or intervals or classes. It's effectively a visual summary of a grouped frequency table.

A dot plot would not work because we don't know the specific scores, but rather just the general region of where they fall.

A box plot doesn't work well either because we lose information on how the distribution is broken down. Sure we get the five number summary out of it, but we don't see how the bins are set up.

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Part B

We have the categories or bins of 0-4, 5-9, 10-14, 15-19, 20-24. Each bin will correspond to a bar that tells us how frequently the values show up. It tells us how frequent or how many scores we got in that sub-interval.

And so on. This all leads to the histogram shown below.

Answer:

Part A is a histogram.

Part B draw a histogram

Step-by-step explanation:

This is because a dot plot and a box plot are too specific for how the data was given. We don't know the exact number for each student.

Part B The x axis would be labeled by the groups, 0-4, 5-9, 10-14, 15-19, 20-24. The y axis would be labeled number of students. Then you could color in the area matching the correct number of students for each category.

Answer:

90.2

Step-by-step explanation:

Assuming that you can use a calculator, you would need to type in the square root symbol and type in the value 8136.04.

The square root of 8136.04 is 90.2.