Write each fraction in its
simplest form.
24/32
18/4

Answer: If you are asking what 0.7/0.21 is, that is 3.3 repeating.

Answer:

3.33333333

or 3.33

Answer: 0.09

Step-by-step explanation:

The solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.

Given that, twice a​ number, increased by ​three, is between negative one and nine.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Let the unknown number be x.

Now, twice a​ number, increased by ​three = 2x+3

The given expression is between negative one and nine

-1 < 2x+3 < 9

-1 < 2x+3

Subtract 3 to both the side of the inequality

-1-3<2x+3-3

⇒ -4 < 2x

Divide 2 to both the side of the inequality

-2 < x

Now, 2x+3 < 9

Subtract 3 to both the side of the inequality

2x+3-3<9-3

⇒ 2x<6

Divide 2 to both the side of the inequality

x < 3

So, -2<x<3

Solution set = {.......-5, -4, -3, -2, -1, 0, 1, 2}

Therefore, the solution set for the obtained inequality is {.......-5, -4, -3, -2, -1, 0, 1, 2}.

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The quadratic function only has a maximum at y = 2, and:

Here we have a quadratic function:

y = -x^2 - 4x - 2

Because the leading coefficient is negative, we know that the parabola opens downwards, then we only have one maximum which is at the vertex.

The x-value of the vertex is at:

x = -(-4)/(2*-1) = 4/-2 = -2

Evaluating in that x-value we will get the maximum:

y = -(-2)^2 - 4*-2 - 2 = -4 + 8 - 2 = 2

The maximum is y = 2.

Then:

The domain is the set of all real numbers like in all quadratics.

The range is the set y ≤ 2

And the function increases in (-∞, 2)

And decreases on (2, ∞).

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The tail length of an alligator whose body length is 4.2 feet will be 3 feet.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -

y = kx

k = y/x

where [k] is the constant

Given is an alligator's tail length [T] varies directly as its body length [B]. An alligator with a body length of 2.8 feet has a tail length of 2 feet.

We can write as -

tail length [T]  [tex]\alpha[/tex]  body length [B].

Therefore -

T/B = K    [Constant]

We can write -

T₁/B₁ = T₂/B₂

2/2.8 = T₂/4.2

T₂ = (2 x 4.2)/2.8

T₂ = 3 ft

Therefore, the tail length of an alligator whose body length is 4.2 feet will be 3 feet.

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The maturity value of a loan is the total amount you must repay, including the principal and any interest you incur.

The interest is calculated by:

I = Prt

Where P is the amount of the loan, r is the interest rate and t is the time of the loan.

We are given:

P = $3345

r = 10.5%

t = 87 days

Convert the interest rate to daily by dividing by 365 (assuming a calendar 365-day year):

Calculate the interest (we keep all the decimals in the calculator):

I = $3345 x 0.00028767 x 87

I = $83.72

The maturity value (final value) of the loan is:

FV = P + I = $3345 + $83.72

FV = $3428.72

Answer:

I think it is the first ones

Answer:

[tex]y=\boxed{-14.380}\;x^2+\boxed{299.970}\;x+\boxed{-950.851}[/tex]

$39

Step-by-step explanation:

Create 5 additional columns on the given table for x², x³, x⁴, xy, and x²y.

Calculate the values and add the sum of each column.

(See attachment 1).

Use the matrix equation for determining the parabolic curve, entering the sums from attachment 1:

[tex]\displaystyle a \sum x{_i}^4+b \sum x{_i}^3+c \sum x{_i}^2=\sum x{_i}^2y_i[/tex]

[tex]\implies 74446.015625a+6046.90625b+520.25c=248662.875[/tex]

[tex]\displaystyle a \sum x{_i}^3+b \sum x{_i}^2+c \sum x{_i}=\sum x{_i}y_i[/tex]

[tex]\implies 6046.90625a+520.25b+48.5c=22987.5[/tex]

[tex]\displaystyle a \sum x{_i}^2+b \sum x{_i}+c n_i=\sum y_i[/tex]

[tex]\implies 520.25a+48.5b+5c=2313[/tex]

Solve for a, b and c using a calculator:

Insert these values (rounding to 3 decimal places) into the quadratic formula [tex]y=ax^2+bx+c[/tex] :

[tex]\large\boxed{y=-14.380x^2+299.970x-950.851}[/tex]

To find the profit (y) for a selling price of 16.75, substitute x = 16.75 into the found quadratic equation:

[tex]\implies y=-14.380(16.75)^2+299.970(16.75)-950.851[/tex]

[tex]\implies y=39.157...[/tex]

Therefore, the profit is $39 to the nearest dollar.

Note: Attachment 2 is the two-variable regression analysis as calculated by an online graphing calculator, proving that the y-value is 39 (nearest whole number) when x=16.75.

The equation that represents the first step is (b) x/3 - 15 + 15 = -5 + 15

The equation is given as

x/3 - 15 = -5

In the above equation, we have:

The first step is to eliminate the constant terms from the variable terms

This is done by adding 15 to both sides of the equation

So, we have

x/3 - 15 + 15 = -5 + 15

Hence, the first step is (b) x/3 - 15 + 15 = -5 + 15

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To compare 7.123 and 7.213 you have to look at tenths place in each number. Given that 1 is less than 2, then 7.123 is less than 7.213, that is,

7.123 < 7.213

Answer:  25%

Step-by-step explanation:

1/4 make the denominator 100

100/4 =25

times 25 by 1/4 = 25/100

Answer = 25%

The lower and upper bounds of w is 3 and 4.16

What is Upper bound and Lower bound?

An element of K that is bigger than or equal to every element of S is referred to as an upper bound or majorant of S in mathematics, specifically in order theory. In contrast, a lower bound or minorant of S is defined as an element of K that is smaller than or equal to every element of S. A set that has an upper (or lower) bound is said to be majorized[1] (or minorized, respectively) from above (or below) by that constraint.

Given that,

w =(x + y)/z

x = 2.5 ± 0.5,

y = 1.5 ± 0.5

and, z = 1.1 ± 0.1

Substituting the values in the equation to find upper bound

x = 3.0

y = 2.0

z = 1.2

Then,

w = (3 + 2)/1.2

w = 5/1.2

w = 4.16

Substituting the values in the equation to find lower bound

x = 2.0

y = 1.0

z = 1.0

Then,

w = (2 + 1)/1

w = 3/1

w = 3

Hence, The upper bound of w is 4.16

The lower bound of w is 3

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Answer: It is not possible for f(x) = 5(2^x) to equal to 200.

Step-by-step explanation: I put it in a calculator. When x = 5.321, the output is approximately 199.871380105. But when x = 5.322, the output is about 200.009968414. This means that the output of exactly 200 is impossible.

The measure of the exterior angle equals the sum of the two remote interior angles

Explanation:

The measure of the exterior angle equals the sum of the two remote interior angles

then

I hope this helps you

Answer:

38 × 38 is larger than 37 × 37 by 75!

The unit rate of the given parts are :

1)  37.037 index cards

2) 25.64 index cards

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

The denominator of a unit rate is always 1. Therefore, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate. The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.

1 ) $4.05 for 150 index cards

Thus for $1 we will get = 37.037 index cards

2) $1.17 for 30 index cards

Thus for $1 we will get = 25.64 index cards

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For the very first graph of the sinx function,

According to the coordinates obtained ,

The graph from the options which satisfied the sinx function are,

The graph of option A,C are satisfied the sin function .

Therefore the correct option is A , C.

Answers 1: = ⅔ y + 4

2. x - y = 8

3. numb.

4. x = ⅓ y + 1

5. x = 2y - 2

By isolating the variable y in the left side of the linear equation, we will get:

y = 4x - 10

Here we have a linear equation and we want to solve this for y, to do this, we need to isolate the variable y in one of the sides of the equation.

The linear equation is:

5y + 10 - x = 4y + 3x

Moving all the terms with y to the left side and the others to the right side, we get:

5y - 4y = 3x - 10 + x

If we simplify this we get:

y = 4x - 10

This is the linear equation solved for y.

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Answer:

x+6 ≤ 10

For this inequality 5.8 will not be a solution

Step-by-step explanation:

Plug in x = 5.8 into each inequality. All inequalities except x +  6 ≤ 10 are satisfied

x + 6 = 5.8 + 6 = 11.8 and this is greater than 10 so the inequality x + 6 ≤ 10 is not satisfied

First, rewrite both numbers as improper fractions.

Next, multiply both numbers. To do so, multiply the numerators and denominators sparatedly:

Since the factor 7 appears both in the numerator and the denominator, we can cancel it out:

Since 24 divided by 4 is 6, then:

Part A: Solving for angle measure A

Part B: Finding Arc CE

Part C: Finding ang measure C

Part D: angle measure D

Part E: angle measure ABE

(a) The numerical expression that represents the position of the fish relative to sea level after it rises 8 feet is (14 - 8) feet.

(b) The position of the fish after it rises 8 feet relative to sea level is 6 feet below the sea level.

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Regarding the Canadian coins, 1 toonies will be equal to 8 quarters.

From the information given, it was stated that 16 Canadian coins, 16 quarters is equal in value to 2 toonies.

Therefore, it's important to find the constant of proportionality. This will be:

y = kx

where y = quarter

k = constant

x = toonies

16 = 2k

k = 16/2

k = 8

The value next to 1 quarter will be:

y = kx

y = 1 × 8

y = 8

Therefore, the toonies will be equal to right quarters.

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Answer:

Abdul and Diane brought 137 cans in all.

Step-by-step explanation:

Abdul brought 16 packs that had eight cans each so to find how many cans he brought in total you do:

16 × 8 = 128

Diane brought 9 cans.

To find what they brought in all add the two amounts together:

128 + 9 = 137

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Answer:

If im correct it should be 1827

Step-by-step explanation:

I think i did this eqasion properly

The value of angle 4x of the triangle is found as 60 degrees.

For the given question,

The angle of the triangle are given as;

We know that the sum of the angles of the triangle is 180 degrees.

thus,

75 + 3x + 4x = 180

7x = 180 - 75

7x = 105

x = 15

the, 4x = 4×15 = 60

Thus, the value of angle 4x of the triangle is found as 60 degrees.

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Answer: y= 2x+10

Step-by-step explanation:
Slope Intercept form: y=mx+b
You want to find the equation in terms of y. So, therefore, isolate 2y
2y=20+4x
Divide both sides by 2
y=10+2x
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y=2x+10