Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31p+79 > -59p+81

Answer:

1. 677 inches = 18.056 yards

677 inches  = 56.416 feet

677 inches = 677 inches

2. QP = 23.5 cm

3. The perimeter = 53.5 cm

Step-by-step explanation:

1. To convert, 677 inches to yards, we have;

1 inch = 0.0277778 yards

677 inches = 677*0.0277778 = 18.056 yards

To convert, 677 inches to feet, we have;

1 inch = 0.083333 feet

677 inches = 677*0.083333  = 56.416 feet

To convert, 677 inches to inches, we have;

1 inch = 1 inch

677 inches = 677*1  = 677 inches

2. We have that ∠PRQ and ∠PRS are supplementary angles (angles on a straight line

Given that ∠PRS = 90°, ∠PRQ = 180° - 90° = 90°;

∠PRQ + ∠PQR + ∠RPQ = 180°, sum of angles in a triangle

∠PQR = 24° given

∠PRQ = 90°

∴  ∠RPQ = 180° - 90° - 24° = 66°

∴∠SPQ = ∠SPR + ∠RPQ = 36° + 66° = 102°

∠QSP + ∠SPQ + ∠PQS = 180° (sum of angles in a triangle)

∠QSP = 180° -∠SPQ - ∠PQS = 180° -102° - 24 = 54°

By sine rule, we have;

a/(sin(A)) = b/(sin(B))

Therefore, we have;

11.8/(sin(24)) = QP/(sin(54°))

QP = (11.8/(sin(24))) × (sin(54°)) = 23.5 cm

3. From trigonometric ratios, we have;

tan(43°) = BC/CA = BC/(16.2 cm)

BC = 16.2 cm × tan(43°) = 15.1

By Pythagoras theorem, we have;

AB = √(15.1² + 16.2²) = 22.2

The perimeter = 15.1 + 16.2 + 22.2 = 53.5 cm

Answer:

Yes

Step-by-step explanation:

This graph represents a continuous function. That means that the line can be drawn without lifting your pen/pencil from the graph. You can tell that it is a function by doing the vertical line test. Since there is only one output for every input on the graph, it would be a function.

(Thanks to the users who caught my previous error :)

so x = minus 9

then

7 × (-9) - 2y = 35

-63 - 2y = 35

-2y = 35 plus 63

-2y = 98

- y = 49

y = -49

Answer:

[tex]\boxed{y = -49}[/tex]

Step-by-step explanation:

=> [tex]7x-2y = 35[/tex]

Given that x = -9

=> [tex]7(-9) -2y = 35[/tex]

=> [tex]-63-2y = 35[/tex]

Adding 63 to both sides

=> [tex]-2y = 35+63[/tex]

=> [tex]-2y = 98[/tex]

Dividing both sides by -2

=> [tex]y = -49[/tex]

Answer:

[tex]x >4[/tex]

Step-by-step explanation:

[tex]x+3>19-3x[/tex]

Add 3x and -3 on both parts.

[tex]x+3+3x-3>19-3x+3x-3[/tex]

Combine like terms.

[tex]x+3x>16[/tex]

[tex]4x >16[/tex]

Divide 4 on both parts.

[tex]\frac{4x}{4} > \frac{16}{4}[/tex]

[tex]x >4[/tex]

Answer:

500cm or 5 meters

Step-by-step explanation:

The ratio of drawing and field is 1:90.

So we have to make 450 m into cm.

450 -> is 45,000

Now we can make 2 fractions,

[tex]\frac{1}{90}=\frac{x}{45000}[/tex]

Cross multiply

90*x = 90x

1*45000 = 45000

90x = 45000

Divide 90 to both sides

x = 500cm

Thus,

the drawing's field is 500cm or 5m long.

Hope this helps :)

Answer:

[tex]1\frac{3}{20}[/tex]

Step-by-step explanation:

'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with  '[tex]\frac{3}{20}[/tex]'  as the remainder, so  '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.  

Put them together, and you get: [tex]1\frac{3}{20}[/tex]

The fraction is already in it's simplest form.

Brainilest Appreciated.

The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

We have to given that,

A number is,

⇒ 23 / 20

We can divide it for the mixed fraction as,

⇒ 23 / 20

20 ) 23 ( 1

    - 20

  --------------

          3

Therefore, It can be written as,

⇒ 23 / 20 = 1 3/20

Thus, The solution for mixed fraction of number 23 / 20 is,

⇒ 23/20 = 1 3/20

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

(i) The increase expected in the share price between the first year and the third year is $0.90

(ii) The 10th year

Step-by-step explanation:

(i) The given relation is [tex]V = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

In the first year, we have t = 1, which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 1 + 1 \right ) = 2.95+2\cdot log_{10}\left (1 1 \right ) = \$5.03[/tex]

In the third year, we have t= 3 which gives;

[tex]V = 2.95+2\cdot log_{10}\left (10\times 3 + 1 \right ) = 2.95+2\cdot log_{10}\left (31 \right ) = \$5.93[/tex]

Therefore, the increase expected in the share price between the first year and the third year is $5.93 - $5.03 = $0.90

(ii) When the share price value becomes >$7.00, we have;

[tex]7 = 2.95+2\cdot log_{10}\left (10\cdot t + 1 \right )[/tex]

Which gives;

7 - 2.95 = 2·㏒(10·t + 1)

4.05/2 = ㏒(10·t + 1)

2.025 = ㏒(10·t + 1)

[tex]10^{2.025} = 10 \cdot t + 1[/tex]

105.93 = 10·t + 1

104.93 = 10·t

t = 104.93/10 = 10.493 ≈ 10.5 years which is within the 10th year.

Answer:

c

Step-by-step explanation:

Answer:

I think it's b.

Step-by-step explanation:

Let's just say that in the first square, all sides equal 4. In this square, if you cut out a piece the perimeter will stay the same. Let's check:

First square: 4+4+4+4=16

Second square: 3+4+4+2+1+2=16

So yes, it's b.

Answer:

Please find the attached the required inequality graph

Step-by-step explanation:

Given that inequality is 2.5 ≤ x ≤ 4.5, we have;

The region in the given inequality is the region between 2.5 and 4.5 inclusive

Therefore, to represent 2.5 ≤ x ≤ 4.5 on the number line, we have;

A closed circle (representing the less than or equal to inequality symbol, showing inclusiveness) at 2.5, another closed circle at 4.5 (representing the less than or equal to inequality symbol, showing inclusiveness) and the region between 4.5 and 2.5 shaded.

Answer:

-61/4

Step-by-step explanation:

-1/2 + x = - 21/4 - 23/4 - 19/4

-1/2 + x = -(21+23+19)/4

x = -63/4 + 1/2

x= -63/4 + 2/4

x = -61/4

Hope that helps, tell me if you need further explanation. =)

Answer:

B. -19/4

Step-by-step explanation:

-1/2 + x = -21/4

x = -21/4 + 2/4

x = -19/4

Answer: B. -19/4

Answer:

900

Step-by-step explanation:

a heptagon has 7 sides, so we take the hexagon's sum of interior angles an and add 180 to it's getting us, 720 + 180 = 900 degrees

Answer:

(-2, 5/3)

Step-by-step explanation:

Step 1: Write out systems of equations

y = 2/3x + 3

x = -2

Step 2: Substitution

y = 2/3(-2) + 3

y = -4/3 + 3

y = 5/3

Step 3: Write solution

(-2, 5/3)

Answer:

[tex]\boxed{(-2, \frac{5}{3} )}[/tex]

Step-by-step explanation:

y = 2/3x+3

x = -2

Plug x as -2 in the first equation.

y = 2/3(-2) + 3

Solve for y.

y = -4/3 + 3

y = -4/3 + 3/1

y = -4/3 + 9/3

y = 5/3

The value of x is given already as -2.

The value of y is 5/3.

The solution to the system of equations is (-2, 5/3).

Answer: no solution

Step-by-step explanation:

-2(x-7)+3(x+5)=x+9

Distribute

-2x+14+3(x+5)=x+9

Distribute

-2x+14+3x+15=x+9

Combine like terms

x+29=x+9

Subtract(x)

29=9

Because 29 does not equal 9, the equation has no solutions

Hope it helps <3

Answer:

There is no solution.

Step-by-step explanation:

[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]

Distribute -2 through the parentheses

[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]

Distribute -3 through the parentheses

[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]

Collect like terms

[tex]x + 14 + 15 = x + 9[/tex]

Add the numbers

[tex]x + 29 = x + 9[/tex]

Cancel equal terms on both sides of the equation

[tex]29 = 9[/tex]

The statement is false for any value of x

Hope this helps..

Best regards!!

Answer:

A= 2

B=28

C=0

Step-by-step explanation:

ax2 + bx + c=0

Answer:

348 7gb93c9 good morning to you all right place on my bed right now iam not geting the best way u are gonna be in this situation is it was not Halloween but gug batson vocal vox's John b bucko and my dear loving n love u soo hapy that u can go ahead with it is my beauty grl for the kichen and u will not cm to ur 2AM to go to Gangtok and my 7th anniversary of the 4588th 468inches I will not be the 6th of God Amen n and 93feet

Step-by-step explanation:

Queremos encontrar el valor de x que maximiza la expresión dada.

Veremos que el valor de x que maximiza la producción es x = 4.

Tenemos la expresión:

F(x) = -2*x^2 + 16*x + 25

Y queremos maximizarla.

Notar que es una función cuadratica cuyo coeficiente principal es negativo, es decir, el máximo de la función esta en el vertice.

Para una cuadratica generica:

y = a*x^2 + b*x + c

El vertice está en:

x = -b/2a

Entonces en nuestro caso, el vertice va a estar en:

x = -16/(2*-2) = 4

x = 4

Es decir, la producción de cacao será máxima cuando se utilicen 4 toneladas de fertilizante.

Sí quieres aprender más, puedes leer:

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Answer:

Step-by-step explanation:

   +4x+6         +4x+6

     ÷5.5       ÷5.5

Answer:

Left table: y= 1.5x - 6

Right table : y= -4x + 6.1

Solution : (2.2 , -2.7)

Step-by-step explanation:

:)

Answer:  8 days

Step-by-step explanation:

Given, At Sami's Shoe Warehouse, it takes 4 over 5 of a day to complete 1 over 10 of an order of sneakers.

i.e. [tex]\dfrac{4}{5}[/tex] x  (1 day) = [tex]\dfrac{1}{10}[/tex] x (an order of sneakers)

Multiply 10 on both the sides , we get

[tex]\dfrac{4}{5}\times10[/tex] x  (1 day) = [tex]\dfrac{1}{10}\times10[/tex] x (an order of sneakers)

⇒[tex]4\times2[/tex] x  (1 day) = an order of sneakers

⇒[tex]8[/tex] x  (1 day) = an order of sneakers

i.e. Time to complete an order of sneakers = 8 days

Hence, it will take 8 days to complete the entire order of sneakers.

Answer: 8 days total

Step-by-step explanation:

Answer:

slope of the line containing the given points (6,-1) AND (5,-7) is 6

point- slope form of the equation is

(y+1)= 6(x-6)  ( because, i'm choosing the point (6,-1)

Step-by-step explanation:

slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6

(y-y1) = m ( x - x1)

(y+1 ) = 6 ( x-6)

Answer:

6.93 cm

Step-by-step explanation:

You have a right triangle (90°), so you do as follow:

If I understand correctly, you are looking for the hypotenuse so

[tex]cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}[/tex]

That is equal to [tex]QR = cos(30)*8 cm = 6.928 cm[/tex]

Answer:

Jesse

Step-by-step explanation:

Everyone except for Jesse and Trey asked other grades but Jesse and Trey was the only one that asked 6th graders. The reason why I thought Trey might be biased is he asked HIS class while Jesse asked random people.

Hope this helped! :)

Answer:

D = - 13/19

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1) = (6- (-7))/(-5-14) = -  13/19

Answer:

Y= -1/5x + 1

Step-by-step explanation:

Just type it on a graphing calculator an click graph

Answer:

Step-by-step explanation:

2)

a) elimination method

b) substitution method

c) substitution method

For the first part we can elimate the y variable by subtracting the equations. We can then find the value of x.

For the second part we can substitute y as 2x+5 in the second equation and solve for x.

For the third part we can substitute y as 4x+3 in the first equation and solve for x.

3)

Answer: 4cm

Step-by-step explanation:

Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.

Before being turned over the milk volume is:

5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).

Therefore the volume of the milk once turned over is 480

When on it's side, the volume of the milk equals

8 * 15 (the base) * depth

120 * depth

120 * depth = 480

so the depth = 4cm

Answer:

B, C, D

Step-by-step explanation:

if tan theta = 15/8 then the hypotenuse is 17

therefore the correct answers are B, C, D

Answer:

31 cm

Step-by-step explanation:

The perimeter is the sum of the sides so the answer is 8 + 10.5 + 9 + 3.5 = 31 cm.

Answer:

Add equations A + B to eliminate y

Then add equations A and C to eliminate y

Step-by-step explanation:

Since all the equations have y with a coefficient of 2, I would eliminate y

Add equations A + B to eliminate y

Then add equations A and C to eliminate y

Answer:

the 3rd choice

Answer:

The answer is C addition property of equality.

Step-by-step explanation:

In step 1, 7x − 25 = 4x − 1 there are the numbers -25 and -1

In step 2, 7x = 4x + 24 The -25 is removed and -1 is replaced with 24

Meaning that in step 2 25 was added to those numbers meaning the answer C addition property of equality.

Answer:

C

Step-by-step explanation:

Answer:

25.4 degrees

Step-by-step explanation:

Use the inverse sine function to calculate

Answer:

32-(7-17)+11

32-(-10)+11

32+11-(-10)

43-(-10)

53