A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick? A dolphin starts at an elevation of feet. He kicks 5 times and increases his elevation by the same amount for each kick. He is now at an elevation of feet. Which equation can be used to find x, the number of feet the dolphin traveled with each kick?

Answer:

The answer is below

Step-by-step explanation:

If the quadrilateral below is a rhombus, find the missing measures.

MK = 24, JL = 20, and mZMJL = 50°

Solution:

A rhombus is a quadrilateral (has four sides and four angles) such that all the sides are of equal length.

The diagonals of a rhombus bisect each other.

NK = MK / 2 (diagonals of a rhombus bisect each other)

NK = 24 / 2 = 12

NL = JL / 2 (diagonals of a rhombus bisect each other)

NL = 20 / 2 = 10

In triangle MNL, ∠N = 90°

MN = NK = 12 , NL = 10. Using Pythagorean theorem:

ML² = MN² + NL²

ML² = 12² + 10²

ML² = 244

ML = √244

ML = 2√61 = 15.62

JM = ML  = 15.62 (all sides of a rhombus are equal)

∠KNL = 90° (diagonals are perpendicular bisectors)

∠KJL = ∠MJL (diagonals bisect angles)

∠KJL = 50°

∠MJK = ∠KJL + ∠MJL = 50 + 50 = 100°

∠MJK = ∠MLK (opposite angles are equal)

∠MLK = 100°

∠NJK + ∠JNK + ∠JKM = 180° (sum of angles in triangle)

50 + 90 + ∠JKM = 180

∠JKM = 40°

∠JKL = 2 * ∠JKM (diagonal bisect angle)

∠JKL = 2 * 40

∠JKL = 80°

∠JKL = ∠JML (opposite angles are equal)

∠JML = 80°

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

5/20

divide both sides of the fraction by 5

5/5 = 1

20/5 = 4

1/4

Answer:

The 9th term of the sequence is:

Step-by-step explanation:

Given the sequence

1, 4/3,16/9

computing the ratios of all the adjacent terms

[tex]\frac{\frac{4}{3}}{1}=\frac{4}{3},\:\quad \frac{\frac{16}{9}}{\frac{4}{3}}=\frac{4}{3}[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]r=\frac{4}{3}[/tex]

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

As

so substituting [tex]a_1=1[/tex] and [tex]r=\frac{4}{3}[/tex] in the nth term of the equation

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=\left(\frac{4}{3}\right)^{n-1}[/tex]

Now, substitute n = 9 to determine the 9th term

[tex]a_9=\left(\frac{4}{3}\right)^{9-1}[/tex]

[tex]a_9=\left(\frac{4}{3}\right)^8[/tex]

[tex]a_9=\frac{4^8}{3^8}[/tex]

[tex]a_9=\frac{65536}{6561}[/tex]

Therefore, the 9th term of the sequence is:

Answer:

C) 3 1/4

Step-by-step explanation:

Answer:

-4x - 1/4

Step-by-step explanation:

-4(x + 1/16)

-4x - 1/4

Answer:

x = 12, y = 4

Step-by-step explanation:

For the triangles to be congruent by HL , then

x = y + 8 → (1)

4y = x + 4 → (2)

Substitute x = y + 8 into (2)

4y = y + 8 + 4

4y = y + 12 ( subtract y from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Substitute y = 4 into (1)

x = 4 + 8 = 12

Answer:

A, B, C

Step-by-step explanation:

Original Equation: 5x=45

Dividing by 5 on both sides: 5x/5 = 45/5

The result: x=9

Check: 5(9)=45, 45 = 45.

Thus, the correct order of steps should be A, B, C.

Let me know if this helps!

Answer: I’m guessing 9

Step-by-step explanation:

fvccckkk school lol

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

2m - 5q = 8

4m + 2q = 64

The value of q in the solution to the equations is 4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

2X = 4 is an equation.

We have,

2m - 5q = 8 ____(1)

4m + 2q = 64 _____(2)

From (1) we get,

2m = 8 + 5q

Divide both sides by 2.

m = (8 + 5q)/2 ______(3)

Now,

Putting (3) in (2) we get,

4m + 2q = 64

4/2 (8 + 5q) + 2q = 64

2 (8 + 5q) + 2q = 64

16 + 10q + 2q = 64

16 + 12q = 64

12q = 64 - 16

q = 48/12

q = 4

Now,

q = 4 in (3) we get,

m = (8 + 5q) / 2

m = (8 + 5 x 4) / 2

m = (8 + 20) / 2

m = 28 / 2

m = 14

Thus,

The value of q in the solution to the equations is 4.

Learn more about equations here:

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Answer:

Rate: 250 bagels per hour

3500 bagels in 14 hours

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Irrational means cannot be put into a fraction. Or random repeating decimals is how I remember it.

√48 can be simplified to equal 4√3. √3 cannot be put into fraction form.

Answer:

one costs 0.40 and 5 cost 2.00

Step-by-step explanation:

bc 2.80/7 = 0.40

0.40 times 5 = 2.00

Answer:

2

Step-by-step explanation:

All u need to do, is subtract 3, until u get to the 20th sequence.

59, 56, 53, 50, 47, 44, 41, 38, 35, 32, 29, 26, 23, 20, 17, 14, 11, 8, 5, 2

Answer:

48

Step-by-step explanation:

Given ratio of males to females at a party is 3 : 5.

Let the numbers of males and females be 3x and 5x respectively.

According to the given description:

No of females = No of males + 13

Therefore,

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

No of people at the party

= 3x + 5x

= 8x

= 8*6

= 48

Answer:

Its nothing complicated, you just have to combine all the like terms, just make sure the lvariables are the same before combining of course.

so assuming the gaps missng are exponents

the solution is the same exact thing

it can’t be simplified anymore since 16q^3 or -48q^2 can’t due to different exponents which thefore can’t combine

same with 32 q, nothing combines

The answer is the original expression

Answer:

acute

Step-by-step explanation:

all the angles are below 90 degrees

Answer:

Step-by-step explanation:

I HOPE IT HELPS :)

Answer:

c=16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

c = r+6

If r = 10 then,

c = 10+6

c = 16

Answer:

Don't wanna do math :(

Step-by-step explanation:

Answer:

the answer is the second one

Step-by-step explanation:

hoped I helped:)

Answer:

8). 36

10). Option 2

Step-by-step explanation:

8). If a = 6 and b = 2

   Then [tex]a^{b}=6^{2}[/tex]

                 = 36

10). This graph has two parts.

   First part shows the increase in the temperature with time in the morning.

   Second part shows the decrease in the temperature in the evening.

   So the graph represents the rise in temperature then down during the day.

   Option 2 is the correct option.

Answer:

Step-by-step explanation:

Here you go mate

∴Use PEMDAS

Parenthesis,Exponent,multiplication,Division,Addition,Subtraction

Step 1

5(x+1)>50  Equation/Question

Step 2

5(x+1)>50  Remove parenthesis

5x+5>50

Step 3

5x+5>50  Subtract 5 from sides

5x>45

Step 4

5x>45  Divide sides by 5

Answer

x>9

Hope this helps

Answer:

Step-by-step explanation:

I can help

Step 1

5(x + 1) > 50  Simplifying

Step 2

5(x + 1) > 50   Remove the parenthesis by dividing both sides by 5

x+1>10

Step 3

x+1>10  Subtract 1 from both sides

x+1-1>10-1

Answer

x>9

Hope this helps

Answer: That would be xy−4x <3 hope it helps

Step-by-step explanation: all u have to do is multiply the polynomials

Answer:

Step-by-step explanation: Answer:46.21

Step-by-step explanation:t/42.99 = 7.5/100.

Butterfly method

42.99 x 7.5 = 322.42 divided by 100= 3.22 plus 42.99 = 46.21etc

The total cost for the sweatshirt is $46.21.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Ryan wants to buy a sweatshirt for $42.99.

The sale tax rate in his city is 7[tex]\frac{1}{2}[/tex]%.

Converting mixed fraction to improper fraction,

7[tex]\frac{1}{2}[/tex] = 15/2

Let n + 42.99 be the total cost of the sweatshirt.

n = 15/2 x 42.99 / 100

n = 322.425 / 100

n = 3.22

n + 42.99 = 46.21  to the nearest cent.

Therefore, the cost with sales tax is $46.21.

To learn more about the percentage;

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Answer:

x + y = -8

Step-by-step explanation:

Answer:

the length and width be 13.33 feet and 34.67 feet respectively

Step-by-step explanation:

The computation is shown below:

Let us assume the width be x

So, the length be 2x + 8

As we know that

The perimeter of the rectangle = 2(length + width)

96 = 2(2x + 8 + x)

96 = 4x + 16 + 2x

96 - 16 = 6x

80 = 6x

x = 80 ÷ 6

= 13.33 feet

So, the length would be

= 2 × 13.33 + 8

= 34.67 feet

Hence, the length and width be 13.33 feet and 34.67 feet respectively

Answer:

-6

Step-by-step explanation:

count

Answer:

-6

Step-by-step explanation:

each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.

Answer:

a. $70

b. $(40 + 10x)

Step-by-step explanation:

The standard cost of the charges is $40 per month but an extra $10 per GB over the included amount.

a. Firstly the cost for a month in which he uses 3GB over the limit

we have a standard of $40, then he has to pay $10 per GB for the 3GB over the limit.

Thus the cost of the 3GB is $10 * 3 = $30

The total cost for using 3GB above the limit would be $40 + $30 = $70

b. For using x GB above the limit

He has to pay $10 per each GB above the limit

Thus, the amount to be paid for x GB above the limit would be x * $10 = $10x

So the total amount to be paid would be the base fee plus over the limit fee= $(40 + 10x)