price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.

Answer:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]-x^2-10x=34[/tex]

Step-by-step explanation:

The equations are:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]12x=9x^2+4[/tex]

[tex]-x^2-10x=34[/tex]

(a) [tex]3x^2-5x=-8[/tex]

Add 8 to both sides

[tex]3x^2 - 5x + 8 =0[/tex]

To do this, we simply calculate the discriminant (d) using:

[tex]d =b^2 - 4ac[/tex]

If [tex]d < 0[/tex]

Then it has complex roots

Where: [tex]a = 3; b = -5; c = 8[/tex]

[tex]d = (-5)^2 - 4 * 3 * 8[/tex]

[tex]d = 25 - 96[/tex]

[tex]d = -71[/tex]

[tex]-71 < 0[/tex] --- complex root

(b) [tex]2x^2=6x-5[/tex]

Equate to 0

[tex]2x^2 - 6x + 5 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-6)^2 - 4 * 2 * 5[/tex]

[tex]d = 36 - 40[/tex]

[tex]d =-4[/tex]

[tex]-4 < 0[/tex] --- complex root

(c) [tex]12x=9x^2+4[/tex]

Equate to 0

[tex]9x^2 - 12x + 4 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-12)^2 - 4 * 9 * 4[/tex]

[tex]d = 144 - 144[/tex]

[tex]d = 0[/tex] ---- real roots

(d) [tex]-x^2-10x=34[/tex]

Equate to 0

[tex]-x^2 - 10x - 34 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-10)^2 - 4 * (-1) * (-34)[/tex]

[tex]d = 100 - 136[/tex]

[tex]d = - 36[/tex]

[tex]-36 < 0[/tex] ---- complex root

Answer:

SA = 225 cm²

Step-by-step explanation:

The given pyramid dimensions are;

The length of the rectangular base of the pyramid, l = 12 cm

The width of the base, w = 6 cm

The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²

The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm

The base length of the above triangle, b₁ = 12 cm

The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²

The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm

The base length of the above triangle, b₂ = 6 cm

The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²

The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂

Therefore;

SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²

SA = 225 cm²

Answer:

The remainder is 7

Step-by-step explanation:

What we have to do here is to set g(x) to zero and solve for x

The value of x is then substituted into the polynomial p(x)

we have this as follows;

x-1 = 0

x = 1

P(1) = 1^3 -6(1)^2 + 9(1) + 3

P(1) = 1 - 6 + 9 + 3

P(1) = 7

This value is the remainder

Answer:

I'm thinking it's B

Step-by-step explanation:

The number of teams formed by the total number of students will be 4.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that centre, Middle School is having a pie eating contest and needs a team consisting of 5 people from Mrs Brown's classroom. There are 20 students in Mrs Brown's classroom.

The number of teams will be calculated as,

N = 20 / 5

Therefore, the number of teams formed by the total number of students will be 4.

To know more about an expression follow

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Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

Answer:

(7, 5)

Step-by-step explanation:

(5,12)

x : 5 + 2 = 7

y : 12 - 7 = 5

(7,5)

The value of (x, y) --> (7, 5).

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given point is (5,12)

We have to solve for

(x,y) --> (x + 2, y - 7)

Now put x=5 in x+2

x = 5 + 2

= 7

and, y= 12 in y-7

y = 12 - 7

= 5

Hence, (x, y) --> (7, 5).

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Answer:

the answer is D

............

Answer:

The answer is (D)

Step-by-step explanation:

[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]

Answer:

Is it deposition

Step-by-step explanation:

Answer:

f (3) equals -11

Step-by-step explanation:

f (x) = -4x + 1

For f(3), just substitute 3 in the place of x:-

f (3) = -4 x 3 + 1

f (3) = -12 + 1

Answer:

-11

Step-by-step explanation:

where x is out -3 so it would look like

-4(3)+1

which is -11

you do -4 * 3 first which = -12 than add one you will get -11

Answer:

10cm, 16 cm, 18 cm

Step-by-step explanation:

We have to find the sum of proportion: sum of ratios =

a : b : c = 5:8:9

Sum of proportion = 5 + 8 + 9

= 22

Length of side a

5/22 × 44 = 10 cm

Length of side b

8/22 × 44 = 16 cm

Length of side a

9/22 × 44 = 18 cm

Therefore: lengths of the sides of the triangle in cm are

10cm, 16 cm, 18 cm

Answer:

2

Step-by-step explanation:

1 goes in the green space

70 goes in the gray space

==============================================

Explanation:

There are 5 gold and 350 total. That forms the fraction 5/350 which fully reduces to 1/70 after you divide both parts by the GCF = 5

A = 5, B = 350

The fraction 1/70 can be thought of like saying "There's 1 gold coins in 70 coins total" or "there's 1 gold coin for every 70 coins".

Then we could scale up like so

Step-by-step explanation:

click the photo there is answer

Answer:

see explanation

Step-by-step explanation:

Substituting y = 3x - 4 into the equation gives

7x - 5(3x - 4) = 4 ← distribute and simplify left side

7x - 15x + 20 = 4

- 8x + 20 = 4 ( subtract 20 from both sides )

- 8x = - 16 ( divide both sides by - 8 )

x = 2

Substitute x = 2 into y = 3x - 4

y = 3(2) - 4 = 6 - 4 = 2

Answer:

5

Step-by-step explanation:

Answer:hhhhhhhhhbbbbb

Step-by-step explanation:

44444444

Answer:

1/4 parts of cement

Step-by-step explanation:

Given :

3 parts of cement = 12 parts of sand

For each part of sand, let the part of cement used = x

Writing the relation in the form of cross multiplication :

3 = 12

x = 1

Cross multiply :

12x = 3

x = 3 / 12

x = 1/4

Hence, for each part of sand, 1/4 parts of cement is used.

Answer:

6 hours

Step-by-step explanation:

Research is 5%, Games is 25%, so the diffrence is 20%

20%  of 30 hours = 30 x2/10 = 6 hours

Tremaine played 6 hours more video games than research.

Answer:

F

Step-by-step explanation:

We can use a proportions to solve this problem:

time of researches (in percentages 100% is used to indicate the total)

5 : 100 = x : 30

x = (5 * 30)/ 100 = 1.5

time of games

25 : 100 = x : 30

x = (25 * 30)/100 = 7.5

7.5 - 1.5 = 6 hours

Un binomio al cuadrado es una suma algebraica que se suma por sí misma, es decir, si tenemos el binomio a + b, el cuadrado de ese binomio es (a + b) (a + b) y se expresa como (a + b)2. ... Se le llama cuadrado perfecto, porque el resultado de su raíz cuadrada siempre es un binomio.

Answer:

use this to help you determine your answer

Step-by-step explanation:

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. ... and another pair of corresponding sides are equal in two right triangles.

so I think the answers ~ Garrett finishes his homework at 6:05.

only thats not an option so choose E because its the closest

hopefully this helps!!!

Answer:

x°=40.7°

Step-by-step explanation:

Sin(x°)=15/23

x°=Sin^-1(15/23)=40.7°

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

Answer:

3e

Step-by-step explanation:

Answer:

150-1/2 (150.5) cups of flour

Step-by-step explanation:

We know there is a ratio of 32.25 / 1.5 (32-1/4 cups of flour for every 1 1/2 batches of pie that she makes). X is the unknown (as we are trying to solve for flour) so we can set up the problem as such:

32.25    =     x  

1.5                 7

Now we cross multiply to solve:

1.5(x) = 7(32.25)

1.5x = 225.75  -- Simplify then divide both sides by x (to isolate the variable)

x = 150.5

Answer: She uses 32 ¼ cups of flour for every 1 ½ batches of pie

Let’s make it into whole numbers to start…

She uses 64 ½ cups of flour for every 3 batches of pie

She uses 129 cups of flour for every 6 batches of pie

She uses 129/6 cups of flour for every 1 batch of pie

She uses 7 x 129/6 cups of flour for every 7 batches of pie

= 150 ½ cups of flour

Answer:

Step-by-step explanation:

convert 1 day into hours

1 day=24 hour

2/24

=1/12

1 day = 24 hours

So,

Answer:

7.33

Step-by-step explanation: