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iren [92.7K]
3 years ago
15

Printing signs costs $28 for the design plates plus $2 per sign. Which equation correctly describes the cost, c, of s signs?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

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Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0
Norma-Jean [14]

Answer:

Length =5

Width = 2

Step-by-step explanation:

Given

Length =x

Width = x -3

Area = 10

x(x-3) =10

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

x(x-3) =10

Open bracket

x^2 -3x = 10

Equate to 0

x^2 -3x - 10 =0

Expand

x^2 + 2x - 5x - 10 = 0

Factorize

x(x + 2) - 5(x + 2) = 0

Factor out x + 2

(x  - 5)(x + 2) = 0

Solve for x

x - 5 = 0 or x + 2 = 0

x = 5 or x = -2

The value of x cannot be negative

So:

x  = 5

Recall that:

Length = x

Width = x - 3

So:

Length =5

Width = 2 ---- i.e. 5 - 3

6 0
3 years ago
Complete the solution of the equation fine the value of y when x = 9 3x+4y=43
Mekhanik [1.2K]
3(9)=27
27+4Y=43
subtract 27 from both sides
4Y=16
devide both sides by 4
Y=4
6 0
3 years ago
In APQR, find the measure of Z.P.
egoroff_w [7]

Step-by-step explanation:

multiple possibilities.

e.g.

we could use Pythagoras to get QR, and then use the law of sine to get angle P.

or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.

I propose the second option :

the law of sine :

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

with a, b, c being the sides always opposite of their associated angles.

33.8/sin(R) = 57.6/sin(90) = 57.6

sin(R) = 33.8/57.6 = 0.586805555...

R = 35.93064691...°

180 = 90 + 35.93064691... + P

P = 54.06935309...°

3 0
2 years ago
State the requirements that must be satisfied to use the​ one-way ANOVA procedure. Select all that apply. A. The k samples must
Sergeu [11.5K]

Answer:

The correct option are: (A), (B), (C) and (E).

Step-by-step explanation:

The One-Way ANOVA is a statistical test used to compare the three or more population means.

The hypothesis is:

<em>H</em>₀:  The population means are equal, i.e. μ₁ = μ₂ = μ₃ =...= μₙ

<em>H</em>ₐ: At least one of the population mean differ.

The Assumptions of One-way ANOVA are:

  1. The samples selected from each population are independent of each other.
  2. The population distribution of the dependent variables follow Normal distribution.
  3. The population variances are always equal for all the groups.

Thus, the correct option are: (A), (B), (C) and (E).

3 0
3 years ago
How many more pounds do u need to make 5 pounds if u already have 3.85 pounds​
RUDIKE [14]

Answer:

1.15 pounds

Step-by-step explanation:

5 - 3.85 = 1.15

6 0
3 years ago
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