Need help with these 2 math problems please !

Answer:

\(\frac{2}{3}x + 6 = 10\)

Step-by-step explanation:

Required

Write as equation

Taking the statement one at a time, we have

Two third of x: \(\frac{2}{3}x\)

Plus 6: \(\frac{2}{3}x + 6\)

is 10: \(\frac{2}{3}x + 6 = 10\)

Hence, the equivalent of the given statement is \(\frac{2}{3}x + 6 = 10\)

Answer:

73.3 feet per second is the answer

The value of x is 19 and the measure of angles in triangle ABC are 75°, 75° and 30° respectively.

triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

If ABC is a triangle, then it is denoted as ∆ABC, where A, B and C are the vertices of the triangle. A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.

The sum of ∠A + ∠B + ∠C = 180°( sum of angles in a triangle )

3x + 18 + 7x - 58 + 2x - 8 = 180°

12x -48° = 180°

12x = 228

x = 228/12

x = 19

but ∠A = 3x + 18, but x = 19

∠A = 3(19) + 18 which is 75°

Also ∠B = 7x -58

∠B = 7(19) - 58 which is 75°

∠C = 2x -8

∠C = 2(19) - 8 which is 30°

In conclusion, the value of x = 19, ∠A = 75°, ∠B = 75° ∠C = 30°

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The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )

A triangle can be defined as a plain shape that has three sides and three angles.

Congruent triangles are triangles that satisfy one or more congruence postulates or laws. The triangles could either be similar based on their angles or sides or angles and side being similar.

In conclusion, The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )

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Answer:

y

Step-by-step explanation:

ffev

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

Answer:

6 r1

Step-by-step explanation:

Answer:

Given:

Cost = £ 800

Tax = 20%

To find:

The total cost

Solution:

Total cost = Cost + Tax

Tax = 20 % of cost

20 / 100 * 800

Tax = £ 160

Hence,

Total cost =  £ 800 + £ 160

Total cost = £ 960

Answer:

\(y = |x + 9| - 6\)

Step-by-step explanation:

Given

\(y = |x|\) --- the correct equation

Shifted down 6 units

Shifted left 9 units

Required

The new equation

When function is shifted down by b units, the new function is:

\((x,y) = (x,y-b)\)

In this case:

\(b =6\)

So, \(y = |x|\) becomes

\(y =|x| - 6\)

When function is shifted left by b units, the new function is:

\((x,y) = (x+b,y)\)

In this case:

\(b =9\)

So: \(y =|x| - 6\) becomes

\(y = |x + 9| - 6\)

The angle formed by the two hands have a measure less than 1/4 turn

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

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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The minimum amount of plastic wrap needed to completely wrap 8 containers is  794. 4 in². Option D

The area of each circular end is:

A = πr²

A = 3.14 × (2.75)²

A = 23.68in²

The area of the rectangular side is:

A = h * circumference

circumference = 5.5in * π

circumference = 17.27in

Using the given height of 3 inches, we get:

A = 3in * 17.27

A = 51.81in²

Therefore, the total surface area of each container is:

A = 2 * 23.68 + 51.81

A = 98.17in²

To wrap 8 containers, we need to multiply the surface area of each container by 8:

Total surface area = 8 × 98.17

Total surface area = 794. 4 in²

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Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

If we calculate \(\frac{7}{8}\) divided by \(\frac{7}{16}\), then we will get 2, as per linear equation.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, two fractions are \(\frac{7}{8}\) and \(\frac{7}{16}\).

Therefor, \(\frac{7}{8}\) ÷ \(\frac{7}{16} = \frac{7}{8}\) × \(\frac{16}{7}\) = 2.

Therefore, \(\frac{7}{8}\) divided by \(\frac{7}{16}\) will give a result 2.

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The function representing the number of bacteria present each day is f(t) = 2032\((0.85)^{t}\).

Both the set X and the set Y are referred to as the function's domain and codomain, respectively.

Beginning in 2032, there will be a 15% daily decline in the number of microorganisms.

a function that displays the daily average amount of microorganisms.

f(x) = 2032\((1 - .15)^{t}\)

f(x) = 2032\((0.85)^{t}\)

Therefore f(t) = 2032\(0.85^{t}\) is the correct answer.

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The given inequality is:

y < 6x + 1

The graph of the inequality is shown below:

Note this is a straight line inequality in the form:

y < mx + c

where The slope, m = 6

and y-intercepty, c = 1

Where the above relations are given, note that Options A,  D, and E are the relations that represents a function. The others are just relations.

To distinguish a function from a relation, look to see if any of the x values are repeated; if not, the relationship is a function. If some x values are repeated but the accompanying y values differ, we have a relation rather than a function.

Note that where you are given domain and range, only the range is represented on the x-axis.

Some of the x values may be seen repeated in B, and C.

How is this so?

B) In a coordinate system, values are represented as (x, y). so

In relations, B 2 is repeated twice to in connection with -5, and -6. That is:

(2, -5) , (2, -6)

Since two is x, then its repetition nullified the relation as a function.

C) On table indicated on C, it is much easier to identify the x and y values. As is seen, -3 is repeated twice in connection with 4 and 2. Thus, its repetition nullified the relation as a function.

As a result, Options A,  D, and E are the relations that represent a function.

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50

Step-by-step explanation:

plot it on the number line

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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We can cοnvert frοm radians tο degrees, we use the fοrmula:

degrees = radians × 180°/π -25π/12 radians is equal tο -31.25 degrees

We use the fοllοwing fοrmula tο cοnvert radians tο degrees:

degrees = radians × 180°/π

Substituting -25π/12 fοr radians in the abοve fοrmula, we get:

degrees = (-25π/12) × (180°/π)

degrees = -25 × 180°/12

degrees = -375°/12

Reducing the fractiοn -375°/12, we get:

degrees = -31.25°

Therefοre, -25π/12 is equal tο -31.25 degrees.

Tο cοnvert radians tο degrees, we use the fοrmula degrees = radians × 180°/π. Substituting -25π/12 radians intο this fοrmula gives us -375°/12. Simplifying this fractiοn gives us -31.25° as οur final answer.

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a) The customs duty on the car would be $1,350,000.

b) The imported price of the bus would be $858,000.

(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:

Customs duty = $3,000,000 * 0.45 = $1,350,000.

(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:

Customs duty = $1,560,000 * 0.45.

Solving for the customs duty:

Customs duty = $702,000.

Now, we can subtract the customs duty from the total amount to find the imported price:

Imported price = $1,560,000 - $702,000 = $858,000.

In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.

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First, Multiply by 2

on both sides of the equation.

Next, simplify the equation by

Multiplying 7 by 2

The solution of the equation is

x = 14

Check the solution by substituting

for x and simplifying.

14

Steps to solve the given equation:

First, Multiply by 2 on both sides of the equation.

Next, simplify the equation by Multiplying 7 by 2

The solution of the equation is x = 14

Check the solution by substituting 14 for x and simplifying.​

"It is a statement which consists of equal symbol between two mathematical expressions. "

According to question,

we have to find the steps used to solve this equation.

So, the steps involved is first multiply by 2, then we will get the value of 'x' and then we have to check the solution by substituting 14 for 'x'.

Hence, we can conclude the steps used to solve this equation are

First, Multiply by 2 on both sides of the equation.

Next, simplify the equation by Multiplying 7 by 2

The solution of the equation is x = 14

Check the solution by substituting 14 for x and simplifying.​

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Answer:

13

Step-by-step explanation:

I did 8 and then I got 16 and I ended up with 13

Answer:

7.5 + 7.5 = 15

15 - 3 = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a given triangle is a right triangle, then the Pythagorean Theorem applies.  The triangle in this description has side lengths 14, 29 and 37 km.  We must determine whether or not

14^2 + 29^2 = 37^2 is true:

196 +   841  =  1369    No, this is not true, and so no, these side lengths do not represent a right triangle.

Answer:

The sum of 4 consecutive odd number is 80

Let X be the first of these numbers

Then the next odd number is X+2

The third is X+4The fourth is X+6

All of these add up to 80

(X) + (X+2) + (X+4) + (X+6) = 80

Using the commutative and associative laws, let's transform this equation into

(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80

Subtract 12 from both sides of the equation gives4X = 68

Divide both sides by 4 gives

X = 17

Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!

Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:

Yo, listen up, the parallelogram is where it's at,

A shape so brilliant, the angles are sat.

Parallel sides that never converge,

Internal angles that never diverge.

Each side an equal length,

A geometry prodigy's dream length.

The diagonals intersect, another line through the middle they meet,

Creating symmetry so neat.

A rectangle it could be,

But it's oblong, not square, can't you see?

With depth and width in perfect balance we see,

A two-dimensional form of complexity.

While the square is simple, the parallelogram is hip,

A mathematical masterpiece, skip, skip, skip!

four right angles keep the shape so tight,

Parallel lines dominate left and right.

Rotated or reflected without a care,

Its structural integrity beyond compare.

triangles form at each corner you'll note,

Acute or obtuse, depends on the protractor's groove.

A versatile shape with reason and purpose galore,

The parallelogram, simply, carries the floor.

From geometry to art, its angles they intrigue,

As a basis for patterns, its potential we can truly plug.

A forgotten form that deserves more acclaim,

Put the parallelogram on geometry's game!

This shape so underrated, rarely appreciated it seems,

But with logic and virtue, strong foundations it gleams.

The parallelogram, the parallelogram, Hooray!

This is why the parallelogram is the best shape, I say!

An event that will have a sample space of S = {g, b} include the following: C. Flipping a two-sided coin with one side green and the other side blue.

In Mathematics and statistics, a sample space can be defined as a set or collection of possible outcomes (results or outputs) that are obtainable from a random experiment. Mathematically, a sample space is represented or denoted by using the symbol, "S."

Additionally, a sample space may contain a number of outcomes (results or outputs) that depends on the experiment. Generally speaking, the subset of possible outcomes (results or outputs) of that are obtainable from an experiment is typically referred to as events.

In this context, we can reasonably infer and logically deduce that "Flipping a two-sided coin with one side green and the other side blue" is an event which would have a sample space that is modeled by this mathematical expression;

S = {g, b}

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Answer: C: Flipping a two-sided coin with one side green and the other side blue.

Answer:

D

Step-by-step explanation:

100>50 +6.25x, subtract 50 from both sides

50>6.25x, divide both sides by 6.25

8>x or x<8

Answer:

c

Step-by-step explanation: