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Blizzard [7]
3 years ago
10

The sale price of every item in a store is 85% of its usual price. The usual price of a sweatshirt is $18, what is its sale pric

e?
Mathematics
1 answer:
azamat3 years ago
6 0
The price of the sweatshirt is $2.70. 18-85%=$2.70 The amount of the discount was $15.30
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What is the solution set of 4x = y and 2x^2− y = 0?
Alona [7]

Answer:{0,2}

Step-by-step explanation:

Substitute 4x in for the y

2x^2-4x=0

Factor out GCF 2x

2x(x-2)=0

Set each factor = 0 and solve

2x=0 x=0 x-2=0 x=2

8 0
3 years ago
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9). What is the value of ef/lm.
Elina [12.6K]

Answer:

EF / LM = 1 / 4

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.

Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).

CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:

LM / EF = 4

EF / LM = 1 / 4

6 0
3 years ago
for your last event of they day, you are going to purchase tickets to watch spongebob perform. They are charging people by the m
Ghella [55]

Answer:

y=x+10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Simplify completely the quantity 5 times x to the third power plus 10 times x to the 2nd power plus 15 times x all over 5 times
dedylja [7]
The <u>correct answer </u>is:

x²+2x+3.

Explanation:

\frac{5x^3+10x^2+15x}{5x}

We need to divide each term of the numerator by the denominator.  For the <u>first term</u>:
\frac{5x^3}{5x}

Dividing the coefficients, we have 5/5 = 1.  
When dividing the variables, we use the quotient rule:  when dividing powers that have the same base, subtract the exponents.  This gives us:
x³/x = x³/x¹ = x³⁻¹ = x²

For the first monomial, this gives us 1x² = x².

The <u>second term</u>:
\frac{10x^2}{5x}

Dividing the coefficients, we have 10/5 = 2.
Dividing the variables, we again use the product rule:
x²/x = x²/x¹ = x²⁻¹ = x¹ = x

Together this gives us 2x.

The <u>third term</u>:
\frac{15x}{5x}

Dividing the coefficients, we have
15/5 = 3.
Dividing the variables, we have x/x; when you divide something by itself, the answer is 1.  This gives us:
3*1 = 3.

Together our quotient is x²+2x+3.
7 0
3 years ago
Read 2 more answers
Simplify this (3x-5)(2x+1)
Grace [21]

Step-by-step explanation:

(3x - 5)(2x + 1)

= 6x^2 + 3x - 10x - 5

= 6x^2 - 7x - 5

7 0
3 years ago
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