what is 3/5 x 7/9 equivalent to 3/5 divided by 7/9

Answer:

741.3 feet if rounding to the nearest tenth

Step-by-step explanation:

You will do 295/tan21.7 which gives you approximately 741.3 feet

The inequality expression is 17 + 6x >= 59

We can represent the inequality using the variables x for the number of minutes Lashonda adds water to the tank and y for the total amount of water in the tank.

The inequality will be:

y >= 59

Where y is the total amount of water in the tank after adding x minutes of water

We know that the initial amount of water in the tank is 17 liters and she plans to add 6 liters per minute

y = 17 + 6x

We can substitute this expression of y in the inequality y >= 59:

17 + 6x >= 59

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Complete question

Represent as an inequality. Lashonda's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has at least 59 liters.

Answer:

x-10

Step-by-step explanation:

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

5x + 25

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

5(x + 5)

Step 2: Expand

Information                                           number of triangles

sides of 20 cm, 5cm and 15 cm :        no triangle

angles 35, 35, and 110 degrees          many triangles

angles 50, 50, and 85 degrees          no triangle

sides of 7, 3 and 9                                one unique triangle

A maximum of one unique triangle is formed when the three sides of the triangle given are in the form that the sum of the two shortest sides will be greater than the third side

In the problem, for a triangle to be formed

15 cm + 5 cm > third side, here the sum is not greater hence no triangle

7 + 3 > third side, here the sum is greater than the third side hence a unique triangle is formed

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We want to find the value of the following expression:

when x = 2 and y = 3.

We follow the next step by step:

Step 1: replacing x and y values

Step 2: solving the combined operations

We replace in the equation x by 2 and y by 3:

We solve the expression we found: first we solve the multiplications:

Then, the addition:

8 + 3 = 11

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

Answer:

the first 2 boxes are 4 and 12

the full answer is 17 6/12 = 17 1/2

Step-bro explanation:

multiply by 2 to get 12 so you do the same to the top

9+8=17

4+2=6

keep the denominator so your answer is 17 6/12 or 17 1/2

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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Answer:

9.60

Step-by-step explanation:

100%->10

160%->16

-------------------------------------

100%->16

100%-40%=60%

60%->9.60

Answer:

To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:

Add up the value of the gifts Katye received:

Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)

Add up the value of the cash Katye received:

Total cash = $100

Subtract the cost of the book from the total cash:

Cash remaining after buying the book = $100 - $23

Determine the maximum number of $10 donations that Katye can make:

Maximum number of $10 donations = (cash remaining after buying the book) / $10

Multiply the maximum number of donations by $10 to get the total amount donated:

Total amount donated = (maximum number of $10 donations) x $10

Subtract the cost of the book and the total amount donated from the total cash:

Cash remaining = $100 - $23 - (total amount donated)

The final answer will be the cash remaining after these calculations

Answer:120 square cm

Step-by-step explanation:

40 x 3

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Assuming you meant "x - 2(x - 2) * 3" as the expression, here is how you can simplify it:

= x - 2(3x - 6) // Distribute the 2

= x - 6x + 12 // Distribute the -2

= -5x + 12 // Simplify

Therefore, the simplified expression is -5x + 12.

To simplify the expression "x subtract 2 x subtract 2 multiply 3," we need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we need to simplify the multiplication by 3 inside the parentheses:

Next, we can simplify the subtraction of 2x:

-x - 2(3)

Finally, we can simplify the multiplication of 2 and 3:

-x - 6

Therefore, the simplified expression is "-x - 6".

Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

1 : 6

Step-by-step explanation:

Answer:

y = x + 53

Step-by-step explanation:

Let x be the number of flowers Jamal planted and y the number of flowers Heidi planted.

Jamal planted 53 fewer flowers than Heidi:

x = y - 53

Isolate the y.

x + 53 = y (Change the - sign to + sign when switching from different sides of an equation)

y = x + 53

Answer:\(j=h-53\)

Step-by-step explanation:

Let h be the number of flowers Heidi planted, and j the number for Jamal.

\(j=h-53\)

Answer:

$ 24.15

Step-by-step explanation:

100%= $21

(100+15)% =115% ×$21

(115/100)*21= 24.15$

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

Answer:

∠AFB is adjacent

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

The graph that shows the new position of the rectangle after a translation is; Option C

When it comes to transformation in mathematics, there are different types such as reflection, dilation, rotation, translation.

Now, we are dealing with translation which is defined as a transformation of a shape in a plane that preserves the length, which tells us that the object is transformed without getting its dimensions affected.

In this case, we see the rectangle in the graph and we can conclude that the translation of the rectangle shows the correct translation would be the second option because it shows that the length is preserved without getting its dimensions or shape altered.

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Answer:

It takes them 1.875 hours.

Step-by-step explanation:

Here, the job is cleaning the house.

Mom does 1 job in 3 hours.

In 1 hour, mom does 1/3 of the job.

Dad does 1 job in 5 hours.

In 1 hour, dad does 1/5 of the job.

Mom and dad working together do the job in x hours.

In 1 hour, mom and dad together do 1/x of the job.

1/3 + 1/5 = 1/x

5/15 + 3/15 = 1/x

8/15 = 1/x

8x = 15

x = 15/8 = 1.875

Answer: It takes them 1.875 hours.