Igor and sally both ran the same distance. Igor completed the distance in 2 hours. His average speed was 6 miles per hour. Sally completed the distance in 4 hours. What was Sally’s average speed for the journey give your answer in mph

Answer:

here is a link

Bhagya – Page 36 - Samacheer Kalvihttps://samacheerkalvi.guru › author › bhagya › page

Step-by-step explanation:

Answer:

fifty-two. Explanation: g(h(−1 ))=g(x). x=h(−1)=4(−1)−3=−4−3=−7. g(x)= g(−7)=72+3=49+3=52.

Answer:

1,260

Step-by-step explanation:

This is if you subtract those numbers up you would get 1,260

Let's call x the number of pounds of seasons choice birdseed, and y the pounds of garden mix birdseed.

The amount of pounds they wish to purchase in total is 20, then, the sum of both quantities should be 20:

Also, they want to spend $31, so the sum of the total costs of each amount of both classes of birdseeds should add $31.

The total cost of seasons choice birdseed is 1.88 times the amount of pounds:

And similarly, the total cost for the amount of garden mix birdseed purchased is:

Recalling that the total cost should be $31:

Then we have a system of two equations with two unknowns:

We can use the substitution method to solve it. We can begin by isolating x from the first equation:

And we can now substitute the expression for x on the second equation:

We have now a new equation where the only unknown is y. We can easily find the value of it:

Now we know the value of y. The number of pounds of garden mix birdseed that need to be purchased is 11.

Now, from the first equation of the system, we can calculate the value of x knowing already the value of y.

Now we know both values.

Finally, they should purchase 9 pounds of seasons choice birdseed and 11 pounds of garden mix birdseed in order to purchase 20 pounds in total and spend exactly $31.

Answer:0.047

Step-by-step explanation: This is actually easy  you need to divide using long division and put the numbers of the division that you use to subtract and then you get the answer.

Answer:

47
Step-by-step explanation:

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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The two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

To solve the system of equations, let's assign variables to the two integers. Let the first integer be represented by 'x' and the second integer by 'y'.

According to the given information:

a. Fourteen more than twice the first integer gives the second integer:

This can be expressed as: 2x + 14 = y

b. The second integer increased by one is the square of the first integer:

This can be expressed as: y + 1 = x^2

Now, we have a system of equations:

1) 2x + 14 = y

2) y + 1 = x^2

To solve this system, we can substitute the value of 'y' from equation 1) into equation 2):

2x + 14 + 1 = x^2

2x + 15 = x^2

Rearranging the equation, we have:

\(x^2 - 2x - 15 = 0\)

Factoring the quadratic equation, we get:

(x - 5)(x + 3) = 0

Setting each factor equal to zero:

x - 5 = 0   -->   x = 5

x + 3 = 0   -->   x = -3

Substituting the values of 'x' back into equation 1), we can find the corresponding values of 'y':

For x = 5:

2(5) + 14 = y

10 + 14 = y

y = 24

For x = -3:

2(-3) + 14 = y

-6 + 14 = y

y = 8

Therefore, the two pairs of integers that satisfy the given conditions are (-3, 8) and (5, 24).

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Answer: 7, equilateral, heptagon

Step-by-step explanation: Hello!

The first thing you can see is that the polygon has 7 sides.  

Secondly, a regular polygon is a polygon that has all equal angles and all equal sides.

An equiangular polygon is a polygon with all equal angles but not all equal sides.

An equilateral polygon is a polygon with all equal sides but not all equal angles.

You can tell by the shape of the polygon that the polygon does not have all equal angles.  The only way you can say that the polygon is equiangular is if it is proven to be true or it is given.  Even if the angles look congruent, you can never say that they are unless you know it for a fact.  This is because diagrams are always misleading.  

This means that the polygon is not a regular polygon and is not an equiangular polygon.  This means that the polygon is equilateral.  Let's check.

All sides clearly show that the measure of each is 8.  Since it is given and it is a fact that all sides are congruent, the polygon is definitely equilateral.  

The last thing you need to do is to find if the shape is a hexagon, heptagon, or octagon.  You can find that by knowing which shapes are which just by counting the sides:

3 sides - Triangle
4 sides - square
5 sides - pentagon
6 sides - hexagon
7 sides - heptagon

8 sides - octagon
9 sides - nonagon
10 sides - decagon
etc.

You know that since the polygon has 7 sides, the shape is a heptagon.

Answer:

The polygon above has 7 sides. It is a heptagon.

Answer:

Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!

Answer:

See below for proof

Step-by-step explanation:

\(\displaystyle \frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{(1-\cos x)(1+\cos x)}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{\sin^2 x}\\\\\frac{\sin x}{1-\cos x}=\frac{1+\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\frac{1}{\sin x}+\frac{\cos x}{\sin x}\\\\\frac{\sin x}{1-\cos x}=\csc x+\cot x\)

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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Answer:

16^3

Step-by-step explanation:

16 x 16 x 16 is the same thing as 16 to the 3rd power. The power is how many times you multiply the number by itself.

Answer:

C

Step-by-step explanation:

4/2 + 5(2)

4/2 + 25

2 + 25

c.) 27

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer: B

Step-by-step explanation:

The formula to find time from distance is time = distance/speed

As a general rule, the formula of speed is

Speed = Distance/Time

Multiply both sides by Time

Time * Speed = Distance

Divide both sides by Speed

he formula to find time from distance

Hence, the formula to find time from distance is time = distance/speed

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Answer:

all real numbers

Step-by-step explanation:

if you subtract x from both sides, you get x=x. This is true for basically any number

we would expect m to be positive.

In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.

Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.

If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.

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Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is

y¹-y²

-----

x¹-x²

y¹ and x¹ can be either of the points.

So let's make it (6,5)

This means that y² and x² will be (8,7)

The equation will be

5-7d -2

----- = ---

6-8 -2

which can be simplified to 1 by divied both by -2

Answer:

C: EAF Is the correct answer

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Multiply both-side of the equation by H

Step-by-step explanation:

we need the greatest or largest common factor (LCF) to find how many bags.

method prime factorization :

beginning with 2 we divide the number as often as possible by the current prime number until there is a remainder. then we use the next higher prime number and do the same.

when we reach 1 as final result, the process ends.

135 ÷ 2 not possible, going to 3

135 ÷ 3 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 3 not possible, going to 5

5 ÷ 5 = 1 end

135 = 3×3×3×5

495 ÷ 2 not possible, going to 3

495 ÷ 3 = 165

165 ÷ 3 = 55

55 ÷ 3 not possible, going to 5

55 ÷ 5 = 11

11 ÷ 5 not possible, going to 7

11 ÷ 7 not possible, going to 11

11 ÷ 11 = 1 end

495 = 3×3×5×11

315 ÷ 2 not possible, going to 3

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 3 = not possible, going to 5

35 ÷ 5 = 7

7 ÷ 5 not possible, going to 7

7 ÷ 7 = 1 end

315 = 3×3×5×7

the LCF is the longest sequence of prime factors the numbers have in common.

so, again, the numbers as prime factors in comparison :

135 = 3×3×3×5

495 = 3×3×5×11

315 = 3×3×5×7

they have in common

3×3 and 5

the LCF = 3×3×5 = 45

so, she can make max. 45 treat bags.

each bag will contain

135/45 = 3 pieces of candy A

495/45 = 11 pieces of candy B

315/45 = 7 pieces of candy C

you notice, how these numbers are exactly the remaining factors of the prime factoring ? it is not a coincidence ...

notice that 45 is the maximum number of treat bags.

following the prime factor combinations she could also create fewer treat bags (but with correspondingly more content).

she could create also

1 or

3 or

5 or

9 or

15

treat bags.