In the inequality 1/ 2 x - 6 > 10, x represents Todd's age. Which phrase most accurately describes Todd's age? A) Todd is older than 32. B) Todd is younger than 32. C) Todd is exactly 32 years old. D) Todd is 32 years old or older.

The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is Oy+4 = (x-2).

The equation that represents a line passing through (-2, 4) and has a slope of 2/5 is option B:

Oy+4 = (x-2)

To understand why this equation represents the line, we can use the slope-intercept form, y = mx + b, where 'm' is the slope and 'b' is the y-intercept. The given slope is 2/5, so the equation becomes y = (2/5)x + b. Plugging in the coordinates of the point (-2, 4), we can solve for 'b' and find that it is 4. Therefore, the equation representing the line is y = (2/5)x + 4.

15% of the collection was comedies.

Step-by-step explanation:

Given,

Number of comedies = 6

Number of westerns = 10

Number of romance = 14

Number of horror = 3

Number of mysteries = 7

Total = 6+10+14+3+7= 40

Percent of comedies = [tex]\frac{Number\ of\ comedies}{Total\ number}*100[/tex]

Percent of comedies = [tex]\frac{6}{40}*100=\frac{600}{40}[/tex]

Percent of comedies = 15%

15% of the collection was comedies.

Keywords: percentage, addition

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Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

❤A.W.E.S.W.A.N.❤

Answer:

Earnings of Chris that week = US$ 712.65

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Chris' salary = US$ 6 per hour + 0.9% commission (0.009)

A week Chris worked 32 hours and sold 2 cars priced $ 26,700 and $ 31,150

2. How much did he make that week?

Earnings of Chris that week = (32 * 6) + (26,700 * 0.009) + (31,150 * 0.0009)

Earnings of Chris that week = 192 + 240.30 + 280.35

Earnings of Chris that week = US$ 712.65

Answer:

[tex]\frac{19}{44}[/tex]

Step-by-step explanation:

The ratio of width : length = [tex]\frac{57}{132}[/tex]

To simplify divide ( cancel ) the numerator/ denominator by 3

= [tex]\frac{19}{44}[/tex] ← in simplest form

Answer:

-6.5-2=-8.5

Step-by-step explanation:

no working out needed that is as simple as it gets mate

Answer:

A

Step-by-step explanation:

It would be A because it’s a negative 20, meaning he’s losing money while 15d represents how many dogs he’s walking and the cost of it.

Answer: D?

Step-by-step explanation:

Answer:

The width of the smaller rectangle is 5 centimeters

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the smaller rectangle

y ----> the area of the larger rectangle

[tex]z^{2}=\frac{x}{y}[/tex]

we have

[tex]x=16\ cm^2\\y=100\ cm^2[/tex]

substitute

[tex]z^{2}=\frac{16}{100}[/tex]

square root both sides

[tex]z=\frac{4}{10}[/tex]

step 2

Find the width of the larger rectangle

we know that the area is equal to

[tex]A=LW[/tex]

we have

[tex]A=100\ cm^2\\L=8\ cm[/tex]

substitute

[tex]100=8W\\W=12.5\ cm[/tex]

step 3

Find the width of the smaller rectangle

To find out the width of the smaller rectangle, multiply the width of the larger rectangle by the scale factor

so

[tex]12.5(\frac{4}{10})=5\ cm[/tex]

Answer: 13.8 cm

Step-by-step explanation:

Assuming the cube is the cube shown in the attached image, its diagonal is [tex]x[/tex].

Now, for a cube which each side is [tex]a[/tex], its diagonal is given by the pithagorean theorem:

[tex]x=\sqrt{a^{2}+d^{2}}[/tex] (1)

Where [tex]d[/tex] is the hypothenuse of the right triangle formed in one of the cube's faces:

[tex]d=\sqrt{3}a[/tex] (2)

Then the formula for the diagonal is:

[tex]x=\sqrt{a^{2}+(\sqrt{3}a)^{2}}[/tex] (3)

[tex]x=\sqrt{3}a[/tex] (4)

If [tex]a=8 cm[/tex]:

[tex]x=\sqrt{3}8 cm[/tex] (5)

Finally:

x=13.8 cm

Answer:

a)3.89 b)0.5%

Step-by-step explanation:

389%= 389/100

0.005*100%

=0.5%

Answer:

[tex]p \geqslant - 14[/tex]

Step-by-step explanation:

[tex] \frac{p}{2} \geqslant - 7 \\ p \geqslant - 14[/tex]

Answer:

c ≤ - 32

Step-by-step explanation:

It will be less than or equal to - 26 if a number c is increased by 6.

Now, we have to solve the inequality for c.

The inequality is, c + 6 ≤ - 26

⇒ c + 6 - 6 ≤ - 26 - 6 {Subtracting 6 from both the sides}

⇒ c ≤ - 32

Therefore, the solution of the inequality is that c is less than or equal to - 32. (Answer)

(a) The volume of the swimming pool is 330 m³

(b) The surface area of the model swimming pool is 30.25 cm².

(a) The volume of the swimming pool is calculated by applying the following formula as follows;

V = Ah

where;

V = 300 m² x 1.1 m

V = 330 m³

(b) The surface area of the model swimming pool is calculated by applying the following formula;

Assuming the model swimming pool is a square.

S.A = L²

S.A = 5.5 cm x 5.5 cm

S.A = 30.25 cm²

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To find the total amount paid for the car after 2 years, we use the compound interest formula [tex]A = P(1 + r)^n[/tex], where P is the initial loan amount, r is the interest rate, and n is the number of years. Substitute in the given values to calculate the final amount.

To calculate the total amount paid for the car after 2 years, we apply the formula for compound interest. The formula is[tex]A = P(1 + r)^n[/tex], where A is the final amount, P is the principal (or initial amount), r is the interest rate, and n is the number of periods. In this case, P = $54200, r = 15.1% or 0.151, and n = 2.

Plugging these values into the formula:

[tex]A = $54200 * (1 + 0.151)^2[/tex].

Once you solve the equation, you will find the total amount paid for the car after 2 years.

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Final answer:

Using the compound interest formula, you will have paid $71,787.31 for a $54,200 car loan at 15.1% interest compounded annually after 2 years.

Explanation:

To calculate the total amount paid for a car after 2 years on a loan of $54,200 with an interest rate of 15.1% compounded annually, we'll use the formula for compound interest:

[tex]A = P (1 + r/n)^{(nt)}[/tex]

Where:

For this car loan:

Substitute the values into the formula:

A = $54,200 (1 + 0.151/1)^(1*2)

A = $54,200 (1 + 0.151)^2

A = $54,200 (1.151)^2

Calculate the amount:

A = $54,200 * (1.151)^2

A = $54,200 * 1.324301

A = $71,787.31

After 2 years, you will have paid $71,787.31 for your car.

a)Exercise hour per day is 0.903

b) Exercise hour per day is 0.01573

c) The predicted values are closer to given data points.

What line of best fit?

The line of best fit is a straight line that minimizes the sum of squared differences between observed and predicted values.

From the graph we can find the line equation.

Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

a) If 0.25 hours were spent on social media per day.

0.25/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day = (1 - (0.25/1.4))*1.1

Exercise hour per day = 0.8215*1.1

= 0.903

b) Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

Given that 1.38 hours were spent on social media

1.38/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day/1.1 = 1 -(1.38/1.4))

Exercise hour per day = 0.0143*1.1

= 0.01573

c) The predictions from a) and b) are correct because the line almost fits the data points. The line on the data point is minimum error. The line gives the estimated values not the actual values. The predicted values are closer to given data points.

Complete question

Answer:

Step-by-step explanation:

1 ft = 250 feet....so 2.5 ft = (2.5 * 250) = 625 feet <==

The actual length of airplane using the scale factor is; 625 feet.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

We are given that;

Length of Airplane = 2.5 feet

Now, we want to find the actual length of the airplane with a scaled length of 2.5 feet.

1 foot = 250 feet,

Thus, the actual length of airplane= (2.5 x 250)

the actual length of airplane= 625 ft

Hence, The actual length of airplane using the scale factor is; 625 feet.

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Answer:

i think 2m

Step-by-step explanation:

3 plus 3 is 6 minus 8

Answer:

7/15

Step-by-step explanation:

You can put in your graphing calculator if you have one

Answer:

Step-by-step explanation:

Answer:

x+6

Step-by-step explanation:

just took it on edge

x-6 is the rule which describes the x-coordinates in the translation  

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.

In the given graph B is the image and A is the preimage.

The image B is shifted to left by six units.

x-6 is the rule which describes the x-coordinates in the translation  

Hence,  x-6 is the rule which describes the x-coordinates in the translation  

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Answer:

-5

Step-by-step explanation:

-10+5b=-35

5b=-35-(-10)

5b=-35+10

5b=-25

b=-25/5

b=-5

Question :

The sum of three consecutive odd integers is 201. Find the integers.

Answer:

The Integers are 65,67,69.

Step-by-step explanation:

Let x be any number. when it is multiplied by 2 it becomes an even number.

So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number

so

First odd number be 2x+1

Second  odd number be 2x+3

Third odd number be  2x+5

Now the sum of these three odd number gives 210,

That is

(2x+1) +(2x+3) +(2x+5) = 201

2x+1+2x+3+2x+5 =201

6x + 9 = 201

6x = 201- 9

6x = 192

[tex]x =\frac{192}{6}[/tex]

x = 32

Hence

The first odd number is  (2x+1) = (2(32)+1) = 64+1 =65

The second odd number is  (2x+3) = (2(32)+3) = 64+3 =67

The third  odd number is  (2x+1) = (2(32)+5) = 64+5 =69

Answer:

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

Step-by-step explanation:

Given:

[tex]y^{2}-7y+6=-6[/tex]

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

[tex]y^{2}-7y+6=-6[/tex]

Adding 6 on both the side we get

[tex]y^{2}-7y+6+6=-6+6[/tex]

[tex]y^{2}-7y+12=0[/tex]

Which is Quadratic Equation in STANDARD form Where,

[tex]a=1\\b=-7\\c=12[/tex]

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

Answer:

1.728 is the correct answer

The points that represent the relationship are (2,4), (5,7), (7,9).

Step-by-step explanation:

1. It is given that Brent was always 2 meters in front of Joel.

2. In the first case, when Joel is at 2 meters, Brent will be 2 meters in front of that, i.e. at 2 meters + 2 meters = 4 meters. Hence, when Joel is at 2 meters distance from the school, Brent will be at 4 meters distance from the school. Hence, the point on the coordinate grid is (2,4) here.

3. Similarly, in the second case, when Joel is at 5 meters, Brent will be 2 meters in front of that, i.e. at 5 meters + 2 meters = 7 meters. Hence, the point on the coordinate grid is (5,7) here.

4. Similarly, in the third case, when Joel is at 7 meters, Brent will be 2 meters in front of that, i.e. at 7 meters + 2 meters = 9 meters.  Hence, the point on the coordinate grid is (7,9) here.

Answer:

"D" (and any subsequent words)

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

The length of FD = 0.76 feet.

Step-by-step explanation:

Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet

To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.

[tex]\tan \theta=\frac{o p p}{a d j}[/tex]

From the given data, θ=83°, [tex]o p p=6.2[/tex] and [tex]a d j=x[/tex]

Substituting these values in the tangent formula, we get,

[tex]\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}[/tex]

Using calculator, the value of [tex]\tan 83^{\circ}=8.14[/tex] and substituting and solving the equation, we get,

[tex]\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}[/tex]

Thus, the length of FD = 0.76 feet.

Answer:

see attached picture please

Answer:

3x² -- 5x -- 8

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

3

⋅

−

8

=

−

24

and whose sum is

b

=

−

5

.

Tap for fewer steps...

Factor

−

5

out of

−

5

x

.

3

x

2

−

5

(

x

)

−

8

Rewrite

−

5

as

−

8

plus

3

3

x

2

+

(

−

8

+

3

)

x

−

8

Apply the distributive property.

3

x

2

−

8

x

+

3

x

−

8

Factor out the greatest common factor from each group.

x

(

3

x

−

8

)

+

1

(

3

x

−

8

)

Factor the polynomial by factoring out the greatest common factor,

3

x

−

8

.

(

3

x

−

8

)

(

x

+

1

)