Write the ratio: 150 to 200 as a fraction in lowest terms?

The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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Answer: 22.5

Step-by-step explanation:

math

Answer:

(2,4)

Step-by-step explanation:

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

$568.75.

Step-by-step explanation:

Answer:

Surface area is also 384.

Step-by-step explanation:

A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384

Answer:

-6

Step-by-step explanation:

Let "what" be termed as "x".

Set the equation:

3 * x = -18

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6*

*Note: When you divide a negative number with a positive number, your answer will be negative.

-6 is your answer.

~

The value of number which is 3 times to -18 is -6 .

Given,

3 *x = -18

So,

Let "what" be termed as "x".

Form the equation including the variable x ,

3 * x = -18

Isolate the variable, x.

Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6

-6 is the required answer .

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Answer:

arc = 2.5π

Step-by-step explanation:

the circumference of the circle is:

2(10)(π) = 20π

45°/360° = 1/8

(1/8)20π = 2.5π

The number of people that like sausage or mushrooms as shown in the Vann diagram is 30.

Venn diagrams are diagrams used to visually depict sets, relationships between sets, and operations on sets

To determine the number of people that like sausage or mushrooms from the Vann diagram, we use the Formula below.

Formula:

n (S ∪ M) = n (S) + n (M) − n (S ∩ M) ................. Equation 1

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the people who like sausage or mushrooms is 30

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Answer:

(C) -6

Step-by-step explanation:

Given the following data;

Points on the graph (x1, y1) = (1, -9).

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the zero of the linear function f, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - (-9) = -3(x - 1)

y + 9 = -3x + 3

y = -3x + 3 - 9

y = -3x -6 = mx + c

Intercept (c) or zero of a function = -6

Answer:

27

Step-by-step explanation:

60% of 45 is 27. I hope I could help.

Answer:

27 scholars have not turned in their forms

Step-by-step explanation:

If there's 45 in total

40% have turned it in

40% of 45 = 18 have turned in the form

45 - 18 = 27 have not turned in their forms

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

2/5

Step-by-step explanation:

Find two integer coordinate sets  ( use the two points labelled)

slope = m = (y1-y2)/(x1-x2) =

                = ( 1 - -1 ) / (3- - 2) = 2/5

  (NOTE: it does not matter which point you choose to be  x1,y1  or x2,y2 )

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given r and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

Answer:

See below.

Step-by-step explanation:

(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)

5a^2+4ab-3b^2+5ab-4b^2-3a^2

(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)

2a^2+9ab-7b^2

-hope it helps

Answer:

You can answer this with modern calculators very easily.

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer:

180 minutes

Step-by-step explanation:

Because this is a Proportional Relationship, you can set up a proportion to solve for the unknown value. Change the 4.5 hours to minutes first.

\(\frac{2}{t}=\frac{3}{270}\)  ⇒  2×270 = 3t  ⇒  3t = 540  ⇒  t = 180

Mr. Woodstock will need to purchase 144 meters of wire to fully encircle his land. He will need to measure the length of the four sides of the land and add them together. The four sides measure 36 meters + 36 meters + 16 meters + 16 meters, which equals a total of 104 meters. He should buy enough wire to cover an additional 40 meters to account for any extra material he may need. Therefore, he needs to purchase 144 meters of wire for his fencing.

Answer:

B

Step-by-step explanation:

Answer:

$99.99

Step-by-step explanation:

6 x 15 = 90

+ 9.99

Answer:

Tiffany's total pay is $451.25.

Step-by-step explanation:

The information provided can be summarized as follows:

Compute Tiffany's total pay for 40 hours:

T = 40 × $9.50

  = $380

Compute Tiffany's total pay for 5 hours overtime:

O = 5 × $9.50 × 1.5

   = $71.25

Compute Tiffany's total pay as follows:

Tiffany's total pay = Total pay for 40 hours + Total pay for 5 hours Overtime

                              = $380 + $71.25

                              = $451.25

Thus, Tiffany's total pay is $451.25.

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

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1) It's February and you go to the store to buy some food for your pets. You have a Great

Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food

cost $60 for the big bag and he eats that in one week. The Savannah cats food cost

$15 a bag and it lasts him one week as well. You are there to buy food for the month

and have no more than $300 total to spend. Can you afford a month's worth of food?

a) If you bought the cat 6 weeks worth of food, how many weeks worth can you

buy your Great Dane?

Answer:

Step-by-step explanation:

x = 61⁰

Reason: x + 29⁰ = 90⁰ ( right angles i.e the angles are perpendicular to one another)

x = 90⁰ - 29⁰

x = 61⁰

Answer:

pint milliliter I think

Answer:

square meter

Step-by-step explanation:

a square meter is a unit of area

Answer:

0 days:  4

1 day:    4

2 days:  5

3 days:  6

4 days:  6

5 days:  7

10 days:  10

15 days:  15

20 days:  33

25 days:   51

30 days:  79

Step-by-step explanation: