A chicken coop contains chickens and rabbits. There are altogether 56 legs and 20 heads, How many chickens are there in this chicken coop?

(Show the solution by using an equation)

​

Answer:

The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.

option c is correct

As per the total distance, the distance that Yoni drive on Wednesday is option (c) 5/24 miles.

To find out how far Yoni drove on Wednesday, we must first determine the total distance she drove over the two days.

Tuesday, Yoni drove 1/6 of a mile, which can be expressed as 6/24 of a mile. Wednesday, she drove an additional 9/24 of a mile.

This means that, in total, she drove 15/24 of a mile.

Since we already know that Yoni drove 6/24 of a mile on Tuesday, we can subtract this amount from the total distance she drove over the two days to find out how far she drove on Wednesday.

Subtracting 6/24 of a mile from 15/24 of a mile, we get 9/24 of a mile, which is the distance Yoni drove on Wednesday.

Therefore, Yoni drove 5/24 of a mile on Wednesday

Then the correct option is (c).

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Answer:

410 is the outlier.

What is an outlier?

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population. In a sense, this definition leaves it up to the analyst (or a consensus process) to decide what will be considered abnormal.

In simpler words, it is the number that is significantly bigger or smaller than the rest of the numbers, and 410 is it.

Step-by-step explanation:

Hope it helps! =D

Answer:

28

Step-by-step explanation:

Smallest common multiple of 2, 4 and 7 -> 28

The other two exterior angles are the ones in option 4.

105° and 115°

Remember two things:

You can use any of these two to find the answer, I will use the first one.

If one of the exterior angles is 140°, then the only option that adds up to 360° is the  lastoption

140° + 115° + 105° = 360°

So that is the correct option.

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The value of pp when qq equals 2 is: 294

If pp is inversely proportional to the square of qq, it means that pp*qq²=k, where k is the constant of proportionality.

Given that pp is 24 when qq is 7, we can find the value of k:

24*7² = k

k = 1176

Now, we can use this value of k to find pp when qq is equal to 2:

pp*2² = 1176

pp*4 = 1176

pp = 1176/4

pp = 294

Therefore, when qq is equal to 2, pp is equal to 294.

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Answer:

The transformation of stretching the function vertically by a factor of 4 means that every y-value of f(x) is multiplied by 4, so the new function is:g(x) = 4sin(x)The transformation of shifting the function downward by 3 units means that the entire graph is shifted downward by 3 units, so we subtract 3 from the y-value of g(x), giving:g(x) = 4sin(x) - 3Therefore, the equation of the new function g(x) is g(x) = 4sin(x) - 3

Step-by-step explanation: hope this helps0^0

Range of the function is the set {-6.5, -5, -2}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of the function is the input values of the function and Range of the function is the output values.

Given function is,

F(x) = 3/4 x - 5

Domain of the function is -2, 0 and 4.

F(-2) = (3/4 × -2) - 5 = -13/2 = -6.5

F(0) = (3/4 × 0) - 5 = 0 - 5 = -5

F(4) = (3/4 × 4) - 5 = 3 - 5 = -2

Range = {-6.5, -5, -2}

Hence the required range of the given function is {-6.5, -5, -2}.

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Answer:36

Step-by-step explanation:360 * 0.1 = 36 or 360/10 = 36

Answer:

(e) It means that your grade is 2 standard deviations above the mean for this exam.

Step-by-step explanation:

Z-score describes the number of standard deviations away from the mean. In this case, a z-score of +2.0 would be 2 standard deviations above the mean.

The sale price of the shoes is $45.

Your friend bought a new pair of shoes that had a regular price of $75. The regular price is the original or full price of the item before any discounts or promotions are applied.

Your friend said that he got a 40% discount on the shoes. A discount is a reduction in price from the regular price, often as a promotion or incentive to encourage customers to purchase the item. In this case, the discount is 40% of the regular price.

To calculate the sale price of the shoes, we need to subtract the discount amount from the regular price. The discount amount is 40% of $75, which is:

Discount amount = 40% x $75

Discount amount = $30

Now, we can find the sale price by subtracting the discount amount from the regular price:

Sale price = Regular price - Discount amount

Sale price = $75 - $30

Sale price = $45

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The completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

First to complete the square for the given equation:

x^2 + y^2 + 8x - 6y - 15 = 0

We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.

x^2 + 8x + y^2 - 6y = 15

We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:

x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9

Now we can rewrite the left side of the equation as a sum of perfect squares:

(x + 4)^2 + (y - 3)^2 = 40

Therefore, the completed square form of the given equation is:

(x + 4)^2 + (y - 3)^2 = 40.

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Answer: 9

Step-by-step explanation:

First plug in 3 for x.

Then you get 3^2

Now you solve and you get 9. Its the same as saying 3 * 3 = 9.

The statement that significant figures include only the certain digits of a measurement is False

From the question, we have the following parameters that can be used in our computation:

Statement: significant figures include only the certain digits of a measurement

The above statement is false

This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.

The addiitonal uncertain digit implies that the statement is false

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Answer:

Addition:

7+8=15

8+7=15
Subtration:

15-8=7

15-7=8

Step-by-step explanation:

You just have to include all numbers and make an equation that involves all three digits

43% of the total trip had they travelled when Tallulah fell asleep

percentage, a relative value indicating hundredth parts of any quantity.

Given that Tallulah's family took a road trip to the Grand Canyon.

Tallulah slept for the last 129 miles of the trip.

the total length of the trip was 300 miles

We have to find the percentage of the total trip had they travelled when Tallulah fell asleep

x/100×300=129

3x=129

Divide both sides by 3

x=43%

Hence, 43% of the total trip had they travelled when Tallulah fell asleep

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Answer: Percent of the jerseys that did not sell is 27% (approx).

Step-by-step explanation: No. of jerseys sold = 225

No. of jerseys not sold =165

Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%

percentage of jerseys not sold = 100-73.33 = 26.67% =27%

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Answer:

Answer: The length of the path would be 35 yds.

Step-by-step explanation:

We can use the formula for the area of a right triangle to find the length of the other leg. Once we know the lengths of both legs, we can use the Pythagorean theorem to find the length of the hypotenuse.

Let's call the length of the shortest side (the leg) "a", and let's call the length of the other side (the other leg) "b". We know that a = 21 yd and the area of the triangle is 294 yd^2. So we can use the formula for the area of a right triangle to solve for b:

area = (1/2) * a * b

294 = (1/2) * 21 * b

b = (2 * 294) / 21

b = 28

Now we know that a = 21 yd and b = 28 yd. We can use the Pythagorean theorem to find the length of the hypotenuse (c):

c^2 = a^2 + b^2

c^2 = 21^2 + 28^2

c^2 = 441 + 784

c^2 = 1225

c = sqrt(1225)

c = 35

Therefore, the length of the path along the longest side of the playground would be 35 yds.

Answer:

35 yards.

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let's call the other leg of the triangle "x" and the length of the hypotenuse (the path the council would like to add) "c". Then we have:

Area of triangle = (1/2) * base * height

294 = (1/2) * 21 * x

x = 28

Now we can use the Pythagorean theorem to find "c":

c^2 = 21^2 + 28^2

c^2 = 441 + 784

c^2 = 1225

c = sqrt(1225)

c = 35

So the length of the path the council would like to add is 35 yards.

40 pounds (lb) is equivalent to 18.14 kilograms (kg). To convert pounds to kilograms, you need to use the conversion factor of 0.45359237 kg per pound.

This means that you can multiply the number of pounds by this conversion factor to get the equivalent weight in kilograms.

The conversion from pounds to kilograms is important when it comes to international trade and travel, where weight measurements are typically done in the metric system. Knowing how to convert between different units of measurement is also useful in scientific and engineering fields, where calculations may require using units from different systems.

It's important to note that weight and mass are not the same thing. Weight is a measure of the force exerted on an object by gravity, while mass is a measure of the amount of matter in an object. The conversion from pounds to kilograms assumes that the force of gravity is constant, but this may not always be the case in different parts of the world.

In summary, 40 pounds is equal to 18.14 kilograms, and knowing how to convert between different units of measurement is an important skill in various fields of study and in everyday life.

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Answer:

Step-by-step explanation:

4(x + 4) + 2x = 52

4x + 16 + 2x = 52

6x = 52 - 16

6x = 36

x = 36 : 6

x = 6

Answer:

[tex] \sf \: x = 6[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 4(x + 4) + 2x = 52

Then the value of x will be,

→ 4(x + 4) + 2x = 52

→ 4x + 16 + 2x = 52

→ 6x + 16 = 52

→ 6x = 52 - 16

→ 6x = 36

→ x = 36 ÷ 6

→ [ x = 6 ]

Hence, the value of x is 6.

Answer:

C) b x 1

Step-by-step explanation:

For example, if b was 2 then 2 x 1 would be 2 so it would be the biggest value out of all the options.

For D, if b was 6 then b x 1/2 would be 3 so it would be at a low value. Therefore C is the correct answer.

The Coordinates after dilation of 1.5 about the origin is

F'(1.5, -1.5)

G'(0, 3)

H'(1.5, 3)

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.

Given:

We have the Coordinates F(1, -1), G(0, 2), H(1, 2).

As, the Dilation Rule for point (x, y) about origin with scale factor h

h(x, y)------>(hx, hy)

Applying the Dilation Rule we get

F(1, -1)-----> 1.5 F'(1, -1)-----> F'(1.5, -1.5)

G(0, 2)-----> 1.5 G'(0, 2)-----> G'(0, 3)

H(1, 2) -----> 1.5 H'(1, 2)-----> H'(1.5, 3)

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In metric system length measured by using kilometres, milimter and miles etc. Thus, the conversion of 2.25 inches to mili meters is equals to the 57.15 mm.

Inches (also called in. ) is a unit of measurement used in US customer measurement systems. It is also part of the imperial measurement system. A millimeter (abbreviation mm) is a unit of measurement in the metric system. Like the inch, it is used to measure the length of an object, especially small ones. "Millimetre" is the US spelling, while in the UK it is spelled "millimetre". To convert from one measurement unit to another, multiply by the conversion factor. Formula to convert inches to millimeters, [X] mm = 25.4 × [Y] in ---(1)

We need to convert 2.25 inches to millimeters. So using the formula, millimeter = 25.4 × 2.25 inches

= 57.15

Hence, required value is 57.15 mm.

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Rounding up to the nearest whole number, the quarterback throws 3 passes in the fourth quarter to complete all of them.

Let's first find out how many passes the quarterback completed in the first three quarters:

18 passes completed out of 33 attempts in the first three quarters

= 18/33 = 0.545 (rounded to three decimal places)

We can then find the total number of passes attempted in the first three quarters by using the fact that the completion rate is the number of completions divided by the number of attempts:

0.545 = 18/x, where x is the total number of attempts in the first three quarters

Solving for x, we get:

x = 18/0.545 = 33

So the quarterback attempted 33 passes in the first three quarters.

Next, we can find the total number of passes attempted in the game by using the completion rate for the entire game:

0.625 = (18 + passes completed in the fourth quarter) / (33 + passes attempted in the fourth quarter)

Multiplying both sides by the denominator:

0.625 × (33 + passes attempted in the fourth quarter) = 18 + passes completed in the fourth quarter

20.625 + 0.625 × passes attempted in the fourth quarter = 18 + passes completed in the fourth quarter

Subtracting 18 and 0.625 × passes attempted in the fourth quarter from both sides, we get:

2.625 = passes completed in the fourth quarter - 0.625 × passes attempted in the fourth quarter

Adding 0.625 × passes attempted in the fourth quarter to both sides, we get:

passes completed in the fourth quarter = 2.625 + 0.625 × passes attempted in the fourth quarter

We don't know the exact number of passes attempted in the fourth quarter, but we can see that for every 1 pass attempted, the quarterback completes 0.625 - 0.545 = 0.08 more passes than in the first three quarters. So to complete all of his passes in the fourth quarter, he needs to attempt:

0.08 × x = 0.08 × 33 = 2.64

Question - A quarterback completes 18 of 33 passes during first three quarters of a football game. He completes every pass in the fourth quarter and 62.5% of his passes for the entire game. How many passes does the quarterback throw in fourth quarter?

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Answer:

ouygghjkjhhhggfdddthjj

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would collect like-terms and rearrange the expression as follows;

1,558 + 60x ≥ 2,158

60x ≥ 2,158 - 1,558

60x ≥ 600

x ≥ 10

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Complete Question:

Solve the inequality from part A for x. 1,558 + 60x ≥ 2,158.

Then use the drawing tools to graph the solution set on the number line.

On the number line, ________________.  

Next, draw a ray to the ____ of 10.

The value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

What does the coordinate geometry distance formula mean?

In coordinate geometry, the distance formula is used to compute the distance between two specified points.

The distance formula is D=

It is used to determine the distance between two locations (x1,y1)(x1,y1)) and (x2,y2)(x2,y2).

Given: Points P and Q are separated by 17 units. The coordinates of point P are (5, 5) and point Q are (-3,y).

Using the distance formula,

PQ = [tex]\sqrt{(x2-x1)^{2} +(y2 - y1)^{2} }[/tex]

17²  = 64 - y² +25 +10y

289-64-25 = - y² + 10y

y² + 10y - 200 = 0

On solving the quadratic equation we get,

y = -20, 10

Therefore, the value of y co-ordinate of point Q is found to be -20 or 10 by using the distance formula.

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Answer:

If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?

Step-by-step explanation:

You're welcome.

The value of x in the two congruent triangles is 3.9 and length CB is 53.9.

The value of x can be determined by applying the principle of congruent theorem.

The congruent theorem states that, if all the three sides of one triangle are equal to all the three sides of another triangle, then both the triangles are congruent to each other.

( 11x + 11 ) / 77 = 21 / 30

11x + 11 = 53.9

11x = 53.9 - 11

11x = 42.9

x = 42.9 / 11

x = 3.9 units

The length of CB = ( 11 x 3.9 ) + 11 = 53.9

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In the parallelogram ABCD the triangles that are similar to ΔAEX is -

Option 1: ΔCFX, Option 2: ΔADC, and Option 5: ΔCBA

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

The parallelogram ABCD is given.

AC is the diagonal of the parallelogram and EF is a line segment parallel to AB and CD in the parallelogram.

In ΔAEX and ΔADC -

m ∠AEX ≅ m ∠ADC, since they are corresponding angles.

m ∠A ≅ m ∠A, since they are reflexive angles.

So, ΔAEX ~ m ∠ADC, by AA similarity.

Similarly, in ΔAEX and ΔCFX -

m ∠EAX ≅ m ∠XCF, since they are alternate interior angles.

m ∠AXE ≅ m ∠CXF, since they are vertical angles.

So, ΔAEX ~ m ∠CFX, by AA similarity.

Now, in ΔAEX and ΔCBA -

Since, EF is parallel to AB then AEFB is also a parallelogram because ABCD is a parallelogram.

Then m ∠E ≅ m ∠B, since they are opposite angles of parallelogram AEFB.

m ∠EAX ≅ m ∠ACB, since they are alternate interior angles.

So, ΔAEX ~ m ∠CBA, by AA similarity.

Therefore, the similar triangles are ΔADC, ΔCFX, ΔCBA.

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