What is the algebraic form of the verbal description below?
Fifteen added to the quotient of 8 and a number is 7.

1 mile = 1760 yards

13.1 * 1760 = 23056 yards / 58.38 = 394.93 yards per minute

394.93/60 = 6.58 yards per second

30/4.8 = 6.25 yards per second

13.1miles in 58 minutes 23 seconds is faster

Answer:

20.6%

Step-by-step explanation:

To calculate the percentage of how much increase, we must first know how much is the difference in the price of May with that of September.

That difference will represent how many $ increase the gallon

[tex]3.05-2.53=0.52[/tex]

We know that a $ 0.52 increase now we must calculate to what percentage of the initial price this value is equivalent to know in what percentage the price of May increased.

[tex]2.53 \longrightarrow 100\%\\0.52 \longrightarrow x\\x=\frac{(0.52)(100)}{2.53} \\x=20.6\%[/tex]

X : EL NUmerRO DESCONOCIDO

X*2  : X ELEVADO AL CUADRADO

X*2 -9  : EL NUMERO ELEVADOAL CUADRADO Y DISMINUIDO EN 9

Equivale es igual a :   

 X -2 : EL EXCESO DEL NUMERO SOBRES DOS (se deduce que X es mayor a 2)

 8(X-2)  :  ocho veces el exceso del numero sobre 2

ECUACION

 x*2 -9 = 8 (X-2) 

 X*2 -9=8X-16

X*2 - 8X -9+16=0

X*2 - 8X +7 =0

 pOR EL METODO DE ASPA SIMPLE Y COMO ES CUADRATICA  X SALE CON DOS VALORES

  X= 7   ó   X=1     

 LA RESPUESTA ES   X=7   YA QUE DE LA CONDICION SABEMOS QUE X TENE QUE SER mayor que 2

RESPUESTA EL NUMERO ES 7 

The value of 6 cube or 6×6×6 or 6³ is 216.

A perfect square number when taken the square root of it results in an integer.

Numbers that are not perfect squares when taken the square root of it are irrational numbers.

One method of obtaining square roots for perfect squares is prime factorization.

Now, A perfect cube number is which when taken cube root results to an integer.

A number multiplied by itself by twice results in a cube of that number.

Therefore, The value of 6 cube would be 6 multiplied twice to itself, which is, = 6×6×6 = 36×6 = 216.

It can also be written as exponent form which is, 6³.

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Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.  Hence Option 3 is Correct

To determine whose measurements are the most accurate, we need to compare each friend’s measurements against the correct value of the grain of rice, which is 6 mm. The accuracy of measurements corresponds to how close they are to this true value.

Let's look at each friend's measurements:

To evaluate accuracy, we calculate the deviation of each measurement from 6 mm, then find the mean absolute deviation for each friend:

Here, Yuto's measurements are the most accurate since they have the smallest mean absolute deviation from the correct length of 6 mm.

Yuto's measurements are the most accurate.

Andrey: 7 mm, 5 mm, 6 mm, 8 mm

Mean value: [tex]\frac{7 + 5 + 6 + 8}{4} = 6.5[/tex] mm

Absolute errors: [tex]|7 - 6| = 1[/tex] mm, [tex]|5 - 6| = 1[/tex] mm, [tex]|6 - 6| = 0[/tex] mm, [tex]|8 - 6| = 2[/tex] mm

Average error: [tex]\frac{1 + 1 + 0 + 2}{4} = 1[/tex] mm

Mariya: 7.41 mm, 8.54 mm, 5.12 mm, 6.23 mm

Mean value: [tex]\frac{7.41 + 8.54 + 5.12 + 6.23}{4} \approx 6.825[/tex] mm

Absolute errors: [tex]|7.41 - 6| \approx 1.41[/tex] mm, [tex]|8.54 - 6| \approx 2.54[/tex] mm, [tex]|5.12 - 6| \approx 0.88[/tex] mm, [tex]|6.23 - 6| \approx 0.23[/tex] mm

Average error: [tex]\frac{1.41 + 2.54 + 0.88 + 0.23}{4} \approx 1.265[/tex] mm

Yuto: 6.1 mm, 5.9 mm, 6.3 mm, 7.2 mm

Mean value: [tex]\frac{6.1 + 5.9 + 6.3 + 7.2}{4} \approx 6.375[/tex] mm

Absolute errors: [tex]|6.1 - 6| = 0.1[/tex] mm, [tex]|5.9 - 6| = 0.1[/tex] mm, [tex]|6.3 - 6| = 0.3[/tex] mm, [tex]|7.2 - 6| = 1.2[/tex] mm

Average error: [tex]\frac{0.1 + 0.1 + 0.3 + 1.2}{4} \approx 0.425[/tex] mm

Misaki: 5.843 mm, 6.981 mm, 5.334 mm, 7.632 mm

Mean value: [tex]\frac{5.843 + 6.981 + 5.334 + 7.632}{4} \approx 6.448[/tex] mm

Absolute errors: [tex]|5.843 - 6| \approx 0.157[/tex] mm, [tex]|6.981 - 6| \approx 0.981[/tex] mm, [tex]|5.334 - 6| \approx 0.666[/tex] mm, [tex]|7.632 - 6| \approx 1.632[/tex] mm

Average error: [tex]\frac{0.157 + 0.981 + 0.666 + 1.632}{4} \approx 0.859[/tex] mm

The equation of the line having The x-intercept of the line is 2, The y-intercept of the line is 12, is y = -6x + 12.

Lines are defined as objects with an infinite length and no width, depth, or curvature. Lines are one-dimensional objects even though they can occur in contexts that are two, three, or higher dimensional.

A simple line in Euclidean geometry. A line, according to Euclid, is the distance between two points and can stretch forever in either direction.

Given:

The x-intercept of the line is 2,

The y-intercept of the line is 12,

Write the equation of the line as shown below,

y = m x + 12

Here, m is the slope,

At y = 0 we get the x-intercept, so

0 = m × 2 + 12

m = -12 / 2

m = -6

Thus, the equation of the line is y = -6x + 12.

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The correct answer is

8,6 & 6, 9

Answer:

The correct options are 1 and 3.

Step-by-step explanation:

It is given that x represents the number of small boxes and y represents the number of large boxes.

The post office has 10 small boxes and 9 large boxes in stock.

He needs at least 4 small boxes.

[tex]4\leq x\leq 10[/tex]

He will buy no more than 15 boxes.

[tex]6+9=15\leq 15[/tex]

[tex]8+6=14\leq 15[/tex]

Therefore options 1 and 3 are correct.

[tex]x+y\leq 15[/tex]

[tex]7+10=17>15[/tex]

[tex]9+8>15[/tex]

Therefore options 2 and 4 are incorrect.

t = time to hike up the hill

3-t is the time to hike down the hill

 so 4t = 6(3-t)

4t = 18-6t

10t = 18

t = 18/10 = 1.8 hours to hike up the hill

1.8 hours = 1 hour 48 minutes

Answer:

The time it took him to climb up the hill is 1.8 hours.

Step-by-step explanation:

Here, t represents the the time it took him to climb up the hill,

Total time taken by it = 3 hours,

Thus, the time taken by it to climb down the hill = ( 3 - t ) hours.

Since, Trent hikes up a hill at 4 km/h,

⇒ Total distance covered by it to climb up = 4 t    (Distance = Speed × Time)

Since, Trent go down a hill at 6 km/h,

⇒ Total distance covered by it to go down = 6(3-t)  

We know that,

Total distance covered by it to climb up = Total distance covered by it to go down

⇒ 4t = 6(3-t)

Which is the required equation.

⇒ 4t = 18 - 6t

⇒ 10 t = 18

⇒ t = 1.8

Hence, the time it took him to climb up the hill is 1.8 hours.

To start off, identify your equation. You know P= 46, and L= 11, so you need to find W=. To do that, first you need to double your length, and width. So, L now equals 22, and W now equals 2W. Now, add W, and L, and it will need to be the original number. Simply subtract 22, from your product,  and divide by two, and you'll have W. Here's what the equation should look like.

(2 * 11) + 2W= 46

22 + 2W= 46

46 - 22= 24

2W= 24

W= 12 ft. Or, the width is 12 feet.

Answer:

75.4296 meters

Step-by-step explanation:

Use the circle area equation: pi(r)^2 to do 4.9^2 multiplied by pi

Answer:

0.4

Step-by-step explanation:

Let x be 1/10 of 0.04.

1/10 of x would be [tex]\frac{1}{10}x[/tex].

We can represent our given information in an equation as:

[tex]\frac{1}{10}x=0.04[/tex]

Let us solve for x.

[tex]10*\frac{1}{10}x=10*0.04[/tex]

[tex]x=0.4[/tex]

Therefore, 0.04 is 1/10 of 0.4.