Help me please express the simplest radical form

Answer:

8:39

Step-by-step explanation:

because when simplified, all the rest are 1:5

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

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(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

Answer: is this an actual question. if so , could u post the picture that may go along with it ? lol

Step-by-step explanation:

On the the following functions:

5. To determine which function has the widest graph, look at the coefficient of the quadratic term (x²). The function with the largest coefficient will have the widest graph. Comparing the coefficients:

a) y = 2x² + 3x - 10 (coefficient: 2)

b) y = -10x² + 3x + 11 (coefficient: -10)

c) y = ¹/₂x² - 4x + 8 (coefficient: 1/2)

The function with the widest graph is b) y = -10x² + 3x + 11 since it has the largest coefficient (-10).

6. To determine which function opens down, see the coefficient of the quadratic term (x²). If the coefficient is negative, the function opens down. Comparing the coefficients:

a) y = 2(x - 3)(x - 1) (coefficient: 2)

b) v = -5(x + 1)(x + 4) (coefficient: -5)

c) y = 1/2 (x - 1)(x + 1) (coefficient: 1/2)

The function that opens down is b) v = -5(x + 1)(x + 4) since it has a negative coefficient (-5).

7. The vertex of a quadratic function in the form y = a(x - h)² + k is (h, k). Comparing the given function:

y = 4(x - 2)² + 5

The vertex is (2, 5). Therefore, the correct answer is c) (2, 5).

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Answer:

1.40

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

\(Area = 153.938040026m^2\)

\(Circumference= 43.9822971503m\)

Step-by-step explanation:

Area

\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)

Circumference

\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)

Answer:

The correct answer is 5.

Step-by-step explanation:

Given the following system of equations:

y = 8x - 9

y = 4x - 1

Let's determine the solution using two methods, Substitution and Elimination:

a.) Substitution Method: Subsitute y = 8x - 9 in the y of y = 4x - 1.

y = 4x - 1 y = 4x - 1 at x = 2

(8x - 9) = 4x - 1 = 4(2) - 1

8x - 9 = 4x - 1 = 8 - 1

8x - 4x = 9 - 1 y = 7

4x = 8

4x/4 = 8/4

x = 2

Therefore, the solution to the equation using the Substitution Method is (2, 7)

The solution is also the point where the graph of the equations intersects.

Therefore, the graph of the two equations will intersect at Point (2, 7)

Answer:

Step-by-step explanation:

Answer: it will be 45, but for some reason it’s not in your answer choices

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

it’s add 6 because, 6 + 7 = 13 and 13 + 6 = 19 and it keeps on continuing this is how I know I am correct.

Answer:

the answer is A) Add 6

Step-by-step explanation:

you add so 7 plus 6 is 13 and 13 plus 6 is 19 and so it continues

hope this helps!!

Answer:

12,868 ÷5 = 2573 R 3

Quotient: 15

Remaining: 3

Step-by-step explanation:

12,868 / 5

-10 2573

-----

028

- 25

------

0036

- 35

--------

18

- 15

-----------

03

Quotient: 15

Remaining: 3

12,868 ÷5 = 2573 R 3

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

33/209

Step-by-step explanation:

11*19=209 . 3(11)=33 .  33/209  

Given parameters:

   Length of the rectangle  = \(\frac{11}{19}\) mile

   Width of the rectangle  = \(\frac{3}{11}\) mile

Unknown:

Area of the rectangle = ?

Solution:

The area of a rectangle is

   Area of rectangle  = length x  width

                                  = \(\frac{11}{19}\) x \(\frac{3}{11}\)

                                = \(\frac{3}{19}\)mile²

we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

Answer: 5

Step-by-step explanation: edge 2021

You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.

The first equation should be multiplied by the constant 5

This method is actually called method of elimination to solve a system of linear equations.

We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).

If we have equations:

\(a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\\)

then, if we want to eliminate variable x, then we have to multiply equation 1 with \(-\dfrac{a_2}{a_1}\) which will make coefficient of x in first equation as  \(a_1 \times -\dfrac{a_2}{a_1} = -a_1\)

Then adding both equation will eliminate the variable x.

We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.

The system of equation we've got is

\(\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40\)

Thus, we have the constant needed = \(-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5\)

The resultant system of equation we will get is:

\(2x + 30y = -50\\\\-2x -2y = 40\)

Thus,

The first equation should be multiplied by the constant 5

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The solution to the inequality expression 3x + 4 > 16 is x > 4

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

3x + 4 > 16

Subtract 4 from both sides of the expression

So, we have the following representation

3x > 12

Divide by 3

x > 4

Hence, the solution is x > 4

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The correct answer is:

C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.

The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.

To make a conclusion, the student needs to compare the P-value to the significance level α.

The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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The approximate interest rate needed for an investment of $14,000 to double by the end of 32 years is; 3.125%

From. the task content, it follows that;

From simple interest Formula;

R = 0.03125

When expressed as a percentage, the interest rate is;

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

A,C, and E

Step-by-step explanation:

Answer:

A<C<E

Step-by-step explanation:

The volume of the conical pile of sand is V = 263.89 m³

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Surface area of the cone = πr ( l + r )

where l = √ ( b² + r² )

Given data ,

Let the volume of the conical pile of sand be represented as V

Now , the height of the cone is h = 7 m

The radius of the cone r = 6 m

And , Volume of Cone = ( 1/3 ) πr²h

On simplifying , we get

Volume of Cone = ( 1/3 ) π ( 6 )² x 7

Volume of Cone = ( 1/3 ) π ( 36 ) x 7

Volume of Cone = 84π m³

Volume of Cone = 263.89 m³

Hence , the cubic meters of sand in the pile is 263.89 m³

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According to the unitary method,

A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.

B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.

Unitary method:

In math, unitary method refers the process of finding the value of a single unit, and based on this value.

Given,

Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.

Here we need to find the following:

A) The time take for Peter to finish the job alone

B) The time taken for Emily and Peter to finish the job together

Let us consider x be the time taken for Peter to finish the job alone.

So, based on the given question we can write it as,

=> 1/6 + 1/8 + 1/x = 1/2

=> (8 + 6)/48 + 1/x = 1/2

=> 14/48 + 1/x = 1/2

=> 7/24 + 1/x = 1/2

=> 1/x = 1/2 - 7/24

=> 1/x = 12 -7/24

=> 1/x = 5/24

=> x = 24/5

=> x = 4.8

So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.

Then the time taken for Emily and Peter to finish the job together is calculated as,

=> 5/24 + 1/6

=> 5 + 4/ 24

=> 9/24

=> 3/8

Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.

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