A line passes through the point (9, 7)and has a slope of 4/3
Write an equation in slope-intercept form for this line.

Answer:

252

Step-by-step explanation:

Altogether, Luis, Dayja, and Michael read 279 pages.

We can get the total number of pages read by each person by building from the number of pages read by Dayja.

Dayja read 84 pages

Luis read 75% more pages than Dayja and this is equal to:

84 + 84 × 75/100

84 + 84 × 0.75

84 + 63

= 147 pages.

Dayja read 75% more pages than Michael.

Believing that Michael read x number of pages.

84 = 175 ÷ 100 × x

8400 = 175x

x = 8400/175

x = 48

So, Michael read 48 pages.

Altogether we will have, 84 + 48 + 147 pages.

= 279 pages.

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Answer:

x = 2.579248

Step-by-step explanation:

x^2 - 9/x + 4 = 3 - (x - 3/x) + 4

a) Multiply both sides by x.

x^3 + 4x - 9/x = 6x + 3

b) Multiply both sides by x.

x^4 + 4x^2 - 9x = 6x^2 + 3x

x^4 + 4x^2 - 9x - (6x^2 + 3x) = 6x^2 + 3x - (6x^2 + 3x)

x^4 - 2x^2 - 12x = 0

x(x^3 - 2x - 12) = 0

x = 0 or x^3 - 2x - 12 = 0

x = 0 or 2.5792479999999998

-1/16 meters per minute is the rate of change of an edge.

So, the Volume of the cube: V = r³

Differentiate with respect to t (time) as follows:

dV/dt = -3 : Cubic meters per minute

Now, substitute the values:

Therefore, -1/16 meters per minute is the rate of change of an edge.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer and steps are down below to check it out have a wonderful wonderful day and  apologize if the answer is wrong

The fraction of the teacups that are either teal or red is 5/6.

Given:

Fraction of teal teacups = 1/6

Fraction of red teacups = 2/3

Fraction of the teacups are either teal or red = Fraction of teal teacups + Fraction of red teacups

= 1/6 + 2/3

= (1+4)/6

= 5/6

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The order of the numbers from least to greatest will be 97%, 1.74, 2 4/5, and 18/5.

I rewrite the numbers in equivalent forms, this was illustrated in decimals to make it easier.

From the information, the data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. This will be:

18/5 = 3.6

2 4/5 = 2.8

97% = 0.97

1.74

The arrangement will be 97%, 1.74, 2 4/5, and 18/5.

Therefore, it should be noted that rewriting then in decimal is important to effectively convey the information better.

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The surface area of the sphere to the nearest square foot is 2463 feet.

So, the surface area of the sphere:

Now, substitute the radius in the formula as follows:

Therefore, the surface area of the sphere to the nearest square foot is 2463 feet.

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drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. The number of people are invited in the reception are 104.

Given that,

drebra and William Pierce is hosting a reception at a nearby reception hall to commemorate their 20th anniversary. $3,500 has been set aside for their reception. If the prison's recreation center charges $70 for cleanup and $33 per person.

We have to determine how many guests they can invite while staying inside their budget.

The total budget of the party = $3500

Reception hall charges for clean up =$70

Extra fee per person =$33

Let us assume that the number of people are invited  in the reception are be x.

Given in the question the  be the clean up charge and $33  be fee per person.

We know,

The equation become

⇒ 70 +33x = 3500

33x = 3500-70

33x = 3430

x = 3430/33

x=104

Therefore, The number of people are invited in the reception are 104.

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The average speed of the car which travels 3.5 miles in 5 minutes is 42 miles per hour.

Speed is simply referred to as distance traveled per unit time. It is expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

First, we convert unit of the elapsed time from minutes to hours.

Time = 5 min = ( 5/60 )hr = 5/60hr

Now, plug the given values into the speed formula and solve for speed.

Speed = 3.5 ÷ 5/60

Speed = 3.5 × 60/5

Speed = 210/5

Average speed = 42 mph

Therefore, the average speed of the car 42 mph.

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Answer:

8840

Step-by-step explanation:

10^2=100;

(6.8*100)*(1.3*10)

680*13

8840

Answer:

8.84 × 10³

Step-by-step explanation:

(6.8 × 10²) (1.3 × 10)

(6.8 × 1.3) (10² × 10) = (8.84) (10³)

8.84 × 10³

When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.

A percentage is what?

A percentage of 100 is represented as a number or ratio known as a percentage.

We've got

Take in a performance Attend a concert and a festival

Remain in state 214 and 186

Travel outside of state 391 and 59

The amount of groups planning to visit a state while attending a concert=214

The amount of groups planning to leave the state to attend a concert=391

The amount of groups planning to visit a state while attending a festival=186

The amount of groups planning to leave the state to attend a festival=59

The proportion of festival-goers that desire to travel outside of their state:

= Total number of groups from all four conditions/ Number of groups wishing to attend an event while remaining outside the state.

= 59 / ( 214 + 391 + 186 + 59 ) x 100

= 59 / 850 x 100

= 6.94%

Therefore, When considering their desire to go outside of their state, 6.94% of people say they would like to attend a festival.

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Answer:

280 cm^3

Step-by-step explanation:

formula

1/2 * b * h * l

1/2 * 5 * 8 * 14

1/2 * 560

wikipedia

Answer:

A. {2.82, √8, √11, 3 1/2}

Step-by-step explanation:

A. {2.82, 2.83, 3.32, 3.5}

√8 = 2.82842712475 or 2.83 when rounded to the nearest hundredth.

√11 = 3.31662479036 or 3.32 when rounded to the nearest hundredth.

To find the square root you multiply a factor of a number by itself in order to get that number.

3 1/2, or 7/2 = 3.5

To convert a fraction into a decimal you divide the numerator by denominator.

B. {2.24, -2.45, 2.5, -3}
√5 = 2.2360679775 or 2.24 when rounded to the nearest hundredth.

-√6 = -2.44948974278 or -2.45 when rounded to the nearest hundredth.

2 1/2, or 5/2 = 2.5

C. {-4, -4.12, -4.24, -4.36}

-√16 = -4

-√17 = -4.12310562562 or -4.12 when rounded to the nearest hundredth.

-√18 = -4.24264068712 or -4.24 when rounded to the nearest hundredth.

-√19 = -4.35889894354 or -4.36 when rounded to the nearest hundredth.

D. {3.16, 4, 2, 1.5}
√10 = 3.16227766017 or 3.16 when rounded to the nearest hundredth

√4 = 2

Answer:

x = 33

Step-by-step explanation:

( x + 20 ) + ( 4× - 5) = 180 {m||n}

5×+20 - 5 = 180

5×+15 = 180

5× = 165

× = 33

The expression 1/(2x²) - 7y is not a polynomial because it has a negative exponent

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and positive exponent powers of variables. If the expression has a negative exponent, it is not a polynomial.

Given:

1/(2x²) - 7y = 0.5x⁻² - 7y

1/(2x²) - 7y is not a polynomial

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6x+26x-10=8(4x+10) quadratic equation has no solution.

First, Simplify the equation:

6x + 26x + (-10) = 8(4x + 10)

Now, reorder the terms:

(-10) + 6x + 26x = 8(4x + 10)

Combine the like terms:

6x + 26x = 32x

-10 + 32x = 8(4x + 10)

Then, reorder the terms:

-10 + 32x = 8(10 + 4x)

-10 + 32x = (10 × 8 + 4x × 8)

-10 + 32x = (80 + 32x)

Add '-32x' to each side of the equation.

-10 + 32x + -32x = 80 + 32x + -32x

Again, Combine like terms:

32x + -32x = 0

-10 + 0 = 80 + 32x + -32x

-10 = 80 + 32x + -32x

Repetitively, Combine like terms:

32x + -32x = 0

-10 = 80 + 0

-10 = 80

After Solving,

-10 = 80

Thus, there is no further variable to solve.

∴ This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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Answer: this bc well it decimals and those are kinda easy

3.09

There are a total of 54 men.

Let's take x new men who joined the club, then according to the question (22-x) new women who joined the club.

[(98 × (5 ÷ 5 + 9)) + x ÷ [(98 × (9 ÷ 5 + 9)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[(98 × (5 ÷ 14)) + x ÷ [(98 × (9 ÷ 14)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11

[35 + x] ÷ [63 + (22 - x)] = 9 ÷ 11

11 × (35 + x) = 9 × (85 - x)

385 + 11x =  765 - 9x

11x + 9x = 765 - 385

20x = 380

x = 19.

Therefore, 19 new members have joined the club.

So, Step 10: 10 + (98 × (5 ÷ 5 + 9)) = 19 + 35 = 54.

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Answer:

19

Step-by-step explanation:

Originally there are 98 members

Ratio of men to women = M:W = M/W = 5/9

The ratio of men to total number of members = M/(M + W) and this should be the same as 5/(5+9) = 5/14

Since 5/14 th of the total membership of 98 members is the number of men,

Actual number of men

= 98 x (5/14)

= 35

After 22 members join the club, the total club membership is 98 + 22 = 120

The new ration M/W = 9/11

Actual number of men members

= 120 x 9/(9+11)

= 120 x 9/20

= 6 x 9

= 54

Increase in the membership of men = 54 - 35 = 19

Answer:x+y=36

xy=256

x=256/y

256/y + y = 36

256/y + y²/y = 36y/y

y² - 36y +256 = 0

use the quadratic formula to get 18+2√17 and 18-2√17. ugly numbers but they work!

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Question:Two families went to a baseball game. The first family bought 5 pretzels and 4 sodas, which totaled $22. The second family bought 6 pretzels and 6 sodas, which totaled $30. How much did one soda cost? 

first family bout 5 PRETZELS  and 4 SODAS and the second family bought 6 PRETZELS and 6 SODAS
So immanently 5 is wrong because that would be too much and not fit the amount that the families spent
4 is also incorrect because the price is not reasonable it’s to high and out of budget for both of the families

3 is the only right answer also 2 is wrong (wrote this in rush)

The value of y on the number line is 4.

A number line is a series of numbers placed on a straight line in order from least to greatest.

The number line is RT.

The point S is in between RT.

Therefore,

RT = RS + ST

Hence,

RT = 67

RS = 9y + 3

ST = 5y + 8

Therefore,

RT = RS + ST

67 = 9y + 3 + 5y + 8

67 = 9y + 5y + 11

67 = 14y + 11

subtract 11 from both sides of the equation

67 = 14y + 11

67 - 11 = 14y + 11 - 11

56 = 14y

divide both sides by 14

y = 56 / 14

Therefore,

y = 4

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Answer:

(a)  D = 72.05 dB  (2 d.p.)

(b)  I = 2.51 W/m²  (2 d.p.)

Step-by-step explanation:

Given function:

[tex]\boxed{D(I)=10 \log_{10}(I)+120, \quad I\geq 0}[/tex]

where:

Given:

Substitute the given value of I into the given function and solve for D:

[tex]\begin{aligned}\implies D(1.6 \times 10^{-5}) & =10 \log_{10}(1.6 \times 10^{-5})+120\\& = 10 \log_{10}(0.000016)+120\\& = 10 (-4.795880017)+120\\& = -47.95880017+120\\&=72.04119983\\&=72.04\; \sf dB\;(2\:d.p.)\end{aligned}[/tex]

Given:

Substitute the given value of D into the given function and solve for I:

[tex]\begin{aligned}\implies 124 & =10 \log_{10}(I)+120\\4 & =10 \log_{10}(I)\\10 \log_{10}(I)&=4\\\log_{10}(I)&=0.4\\10^{\log_{10}(I)}&=10^{0.4\\I&=2.511886432\\I&=2.51\; \sf W/m^2\; (2\:d.p.)\end{aligned}[/tex]

Answer:

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

Step-by-step explanation:

a) simplify

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

Answer:

ez y² /2x

Step-by-step explanation:

Moving counterclockwise around the rectangle, the labels and coordinates of the other  vertices are; E'(6, 8), C'(10, 10), T'(0, 10)

I have drawn an image of the given triangle RECT and attached it.

The length is 10 units and width is 6 units.

From the image of the triangle, we see that the coordinates are;

R(0, 0), E(10, 0), C(10, 6), T(0, 6)

Now, we are told that moving counterclockwise around the rectangle, and after rotation, we will now have the transformations as;

R'(0, 0), E'(6, 8), C'(10, 10), T'(0, 10)

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The change to the amount of money she has = $10

what is amount ?

Amount is defined as to add up to a total .the bill for four people at a restaurant that is 50 dollars is an example of the costs of four meals that amount to 50 dollars.

A amount is a number, or quantity of something

she made 6 payments of $4each = 6(4) =$ 20 spent

she got $ 10 back  = 20-10 =$10

the change to the amount of money she has is -$10 because

she has $10 less than she started with

so the change to the amount of money she has $10

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The length of a diagonal will be 109 cm.

What is Rectangle?

A rectangle is a quadrilateral that has parallel sides equal to each other and all the four angles are equal to 90 degrees.

Given that;

Length of a rectangle = 60 cm

Width of a rectangle = 91 cm

Now,

Since, We know that;

Diagonal of a rectangle (D) = √Length² + Width²

Substitute all the values we get;

Diagonal of a rectangle (D) = √Length² + Width²

                                         = √60² + 91²

                                         = √3600 + 8,281

                                         = √11,881

                                         = 109

So, Diagonal of a rectangle = 109 cm.

Thus, The length of a diagonal will be 109 cm.

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Main Answer:

Explanation:

Given that,

[tex]\frac{dA}{dt}[/tex] = -4

The surface area of the snow ball = 4π[tex]r^{2}[/tex]

Let the surface area = A

If A denotes the surface area and D the diameter then,

A = 4π[tex]r^{2}[/tex] = 4π[tex](\frac{D}{2} )^{2}[/tex]

⇒ A = π[tex]D^{2}[/tex]

Differentiate with respect to r,

[tex]\frac{dA}{dD}[/tex] = 2πD

By using chain rule,

[tex]\frac{dA}{dD}[/tex] = [tex](\frac{dA}{dt})[/tex][tex](\frac{dt}{dD})[/tex] = [tex]\frac{\frac{dA}{dt}}{\frac{dD}{dt}}[/tex]

⇒ 2πD = [tex]-\frac{4}{\frac{dD}{dt}}[/tex]

∴ [tex]\frac{dD}{dt}[/tex] = [tex]-\frac{4}{2\pi\\D}[/tex]

when D = 9,

[tex]\frac{dD}{dt}[/tex] = [tex]-\frac{4}{18\pi}[/tex]

∴ [tex]\frac{dD}{dt}[/tex] = [tex]-\frac{2}{9\pi}[/tex]

so, the diameter is decreasing at a rate of [tex]\frac{2}{9\pi}[/tex] .

Answer:

Step-by-step explanation:

Nice question!!! It should be ####. and that's the answer that you want