David performed the following mathematical operation:
x+5
+9x-5
2x-
:-1)2x² +9
He was left with a remainder of zero. Which of the following statements must
be true?
A.
must be a root of the polynomial 2x² +9x-5.
o
B. O must be a root of the polynomial 2x² +9x-5.
O c.
must be a root of the polynomial 2x² +9x-5.
D. 5 must be a root of the polynomial 2x² + 9x-5.

Answer:

thats A daddy-o

Step-by-step explanation:

there are 4 out of 12

1/3

33.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 is 1/3

Answer:

2 ft

Step-by-step explanation:

Perimeter = 4 * sides

8 ft = 4 * s

side = 2 ft

Answer:

2 ft

Step-by-step explanation:

8/4 = 2

Answer:

Living

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8/ 2*(2+2) = 4*(2+2) = 4*4 = 16

Answer:

Number one is 1624cm²

Number two is 32in²

For these problem you area calculating the surface area of the given objects. To calculate surface area you find the area of each side of the object and adding them together. length multiplied by width is the equation for area.

Answer:

5/16 pounds

Step-by-step explanation:

The problem mentions that Audrey needs to cut a 5-pound block into 16 pieces. This means that each of the 16 pieces of cheese must weigh the same, thus we have to divide 5 pounds by 16 to divide the weight equally. Thus, all you need to do is divide 5 by 16, giving you 5/16. Therefore, your answer is that each block of cheese weighs 5/16 pounds.

Answer:

0.3125 pounds

Step-by-step explanation:

Each wedge of cheese weights 0.1325 pounds

Answer:

13,500

Step-by-step explanation:

x + y = 750

750 x 18 = 13.500

The value of the number of tables will be 6 and the number of chairs will be 12.

When trying to set up or construct a linear equation to fit a real-world application, identify the known quantities and use the unknown quantity as a variable.

In other words, an equation is a set of variables that are constrained through a situation or case.

From the question constraint of a maximum of 18 pieces of furniture

x + y =18

From the question constraint of at least $5400 worth of chairs and tables

600x + 150y ≥ 5400

By equation first, y = 18 - x put this into second

600x + 150(18 - x) ≥ 5400

450x ≥ 2700

x ≥ 6 hence there is need to sell at least 6 tables.

Put x =6 into x + y =18 then

y = 12 hence at least 12 chairs need to be sold.

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Answer:

8. 24

9. 10

2. 72

1. 113

5. 7.96 = 8

11. 30.19 = 30.2

6. 28.27 = 28

That's all I can answer right now, maybe study a bit more and your grades will get better! Good luck!

Answer:

(-9, -12)

Step-by-step explanation:

Given the expressions

y=x+3

y=1/3x-5

Equating both expressions;

y = y

x + 3 = 1/3x - 5

x - 1/3x = -5 -3

2/3 x = -8

x/3 = -4

x = -12

Since

y = x+ 3

y = -12 + 3

x = -9

Hence the required solution is (-9, -12)

Answer:

100 π

Explanation:

Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.

First, half the 20m to 10m since the radius is 1/2 of the diameter.

Next, plug this into the formula to get the answer:

π 10^2

π 100

100 π is the answer, since it is looking for it in terms of π.

Answer:

A≈314.16m²

Step-by-step explanation:

I cant write it down lol, I promise its right! :)

Answer: 21 miles

Step-by-step explanation:

7x3 = 21 miles

Answer:

(a) 0.0072

(b) 7.15 x 10^7

Step-by-step explanation:

Numbers less than 1 have a negative exponent

- those greater than 1 have a positive exponent.

The first part of standard form  has values between 0 and 10.

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

➜96×1/3

➜96/3

➜32km

2 out of 50 are defective.

Divide 2 by 50: 2/50 = 0.04

Now multiply the total quantity by that:

2000 x 0.04 = 80

80 are likely to be defective.

Answer:

2/51

Step-by-step explanation:

# of brown socks = 4

# of blue socks = 14

total # of socks = 18

The probability of pulling 1 brown sock = 4/18

If he were to pull one brown sock there would be 1 less sock in the total # of socks and 1 less in the # of brown socks

So after the first pull ( if it were to be a brown sock )

there would only be 3 brown socks and 17 total socks

So the probability of pulling a brown sock then would be 3/17

Finally we multiply the two probabilities to get the answer

4/18 * 3/17 = 2/51

Hence, the answer is 2/51

Answer:

area = 1/2(a+b)h

a= 8.2 cm

b= 22.9 cm.

h= 9.8

therefore area = 77.91 sqcm

The area in square centimeters of the trapezoid below​ is 77.91 .

The area of a trapezoid is the half of the product of sum of its parallel sides to the height of that trapezoid (the distance between those parallel sides).

Thus, if we have Length of its parallel sides = 'a' and 'b' units respectively

Perpendicular distance between its parallel sides = 'h' units,

Area = 1/2(a+b)h

a= 8.2 cm

b= 22.9 cm.

h= 9.8

Area = 1/2(8.2 + 22.9)9.8

therefore, area = 77.91 sqcm

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Answer:

y=1/4x+2

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept

Sample Answer:

Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.

Step-by-step explanation:

For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.

The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.

Now, with the formulas for volume of the prisms:

Rectangular: L * W * H

Triangle: (L*W * H) / 2

Then just plug in the numbers:

Rectangular Prism:

L * H * H

6 * 5 * 1

30 * 1

30

Triangle Prism:

(12 * 5 * 1) / 2

60 / 2

30

They are equal to each other.

Answer: About 100 more people will choose brand A.

Step-by-step explanation:

Number of people who chose brand A = 25

Number of people who chose brand B = 15

Number of people who chose brand C = 10

Total number of people = 25+10+15 = 50

Since there are 200 people left, we'll equate them based on the data given and this will be:

For A = 25/50 × 200 = 100

For B = 15/50 × 200 = 60

For C = 10/50 × 200 = 40

Therefore, about 100 more people will choose brand A.

Answer:

About 100 more people will choose brand A

Step-by-step explanation:

i ready:)

Answer: Sine

Step-by-step explanation:

From the point of the angle we can see that x is the opposite. Since x is the opposite and the hypotenus is given then from SOHCAHTOA the trigonometric function used I finding x is sine.

Answer:

sine

Step-by-step explanation:

have a great day and I hope helpful

Answer:

m∠C = 72°

BA = 8.6

AC = 2.8

Step-by-step explanation:

We can start by finding the sum of all angles in a triangle to find angle C. The sum of all angles is 180°, so we can write the equation:

m∠A + m∠B + m∠C = 180°

And substitute what we have:

90° + 18° + m∠C = 180°

108° + m∠C = 180°

m∠C = 72°

In order to find the side BA, we can use trig functions. We are given the hypotenuse and we are looking for the side adjacent to ∠B. The trig function that relates the two is cosine. We can set up the equation as follows:

cos(∠B) = [tex]\frac{BA}{BC}[/tex]

cos(18°) = [tex]\frac{BA}{9}[/tex]

9 * cos(18°) = BA

BA ≈ 8.559508647

And when we round, we get:

BA = 8.6

In order to find the side AC, we can use trig functions. We are given the hypotenuse and we are looking for the side opposite to ∠B. The trig function that relates the two is sine. We can set up the equation as follows:

sin(∠B) = [tex]\frac{AC}{BC}[/tex]

sin(18°) = [tex]\frac{AC}{9}[/tex]

9 * sin(18°) = AC

AC ≈ 2.781152949

We can round this to:

AC = 2.8

Answer:

15x+3.5=N

Step-by-step explanation:

hope this helps :)

Answer:

15.00n+3.50

Step-by-step explanation:

I think it is that scence I am not sure what the todal is but if that is wrong just flip flop it scence $15 will always be with the vareable in this case scence it isthe only number that can change but multiplying with 2+.

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

domain is all real numbers except -6

Step-by-step explanation:

Answer:

B & E

Step-by-step explanation:

Edge trust me

Answer:

9)  1/48

11)  1/24

13)  5/16

14)  1/8

Step-by-step explanation:

9) P(A and 5) = 1/8 × 1/6

11) P(J and LT 3) = 1/8 x 2/6

13) P (consonant and odd) = 5/8 x 1/2

14) P ('M' or 'T' and GT 3) = [(1/8+1/8) × 1/2]  = 2/8 x 1/2

Answer:

35

Step-by-step explanation: