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sashaice [31]
3 years ago
15

Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions

, and identify each equation as an identity, a contradiction, or neither.
A) 6X plus 4X -6 = 24+ 9X

B) 25 - 4X = 15 - 3X +10 - X

C) 4X +8 = 2X +7+ 2X -20

Mathematics
1 answer:
Natali [406]3 years ago
4 0
I hope this helps you

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miles has 25 coins In his pocket. Some are Nichols and some are dimes. He has a total of $1.65 how many of each type of coin doe
Leni [432]

▪ Answer:

n = 17

d = 8

▪ Step-by-step explanation:

Hi there !

1 nickel = 5c

1 dime = 10c

$1.65 = 165c

n + d = 25 => n = 25 - d

5n + 10d = 165

replace n

5(25 - d) + 10d = 165

125 - 5d + 10d = 165

5d = 165 - 125

5d = 40

d = 8 (dimes)

n = 25 - d

n = 25 - 8

n = 17 (nickels)

Good luck !

7 0
3 years ago
Find the coordinates of P ' if D o, 2.4 (x,y) is applied to the triangle below
guajiro [1.7K]

Answer:

The coordinates of P' are (4.8,-4.8).

Step-by-step explanation:

The rule of dilation D_{o,2.4}(x,y) represent the dilation with scale factor 2.4 and center at origin.

If the scale factor of the dilation is k and the center is (0,0), then

(x,y)\rightarrow (kx,ky)

Since the scale factor is 2.4, therefore

(x,y)\rightarrow (2.4x,2.4y)

From the given figure it is noticed that the coordinates of P are (2,-2). The coordinates of P' are

P(2,-2)\rightarrow P'(2.4(2),2.4(-2))

P(2,-2)\rightarrow P'(4.8,-4.8)

Therefore the coordinates of P' are (4.8,-4.8).

3 0
4 years ago
Vita saved $72 last December. This amount represents 2/9 of the total amount she saved last year. What is the total amount Vita
GrogVix [38]
\dfrac{2}{9} \text { of the saving} = \$72

-----------------------------------------------
Find 1/9 :
-----------------------------------------------
\dfrac{1}{9} \text { of the saving} = \$72 \div 2

\dfrac{1}{9} \text { of the saving} = \$36

-----------------------------------------------
Find 9/9 :
-----------------------------------------------
\dfrac{9}{9} \text { of the saving} = \$36 \times 9

\dfrac{9}{9} \text { of the saving} = \$324

-----------------------------------------------
Answer: The total amount is $324.
-----------------------------------------------
7 0
3 years ago
What is the positive root of the equation x 2 + 5x = 150? a0
Radda [10]
Solution for x^2+5x=150 equation:
<span>Simplifying x2 + 5x = 150 Reorder the terms: 5x + x2 = 150 Solving 5x + x2 = 150 Solving for variable 'x'. Reorder the terms: -150 + 5x + x2 = 150 + -150 Combine like terms: 150 + -150 = 0 -150 + 5x + x2 = 0 Factor a trinomial. (-15 + -1x)(10 + -1x) = 0 Subproblem 1Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15 Subproblem 2Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solutionx = {-15, 10}</span>
5 0
3 years ago
Evaluate 2 ∙ (8 + 4) using the steps of order of operations.
Natalka [10]

Step-by-step explanation:

Follow PEMDAS

2 ∙ (8 + 4)

P: Parentheses

E : Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

2 \cdot \: (12) \\  = 2 \times 12 \\ 24

Question 2

15 + 6 \times 3 \\ 15 + (6 \times 3) \\ 15 + 18 \\  = 33

7 0
3 years ago
Read 2 more answers
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