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Firdavs [7]
3 years ago
13

A sign says that the price marked on all music equipment is 35% off the original price. You want to buy an electric guitar for t

he $315. Write an equation to represent the total cost c for the price p with a 35% discount
Mathematics
1 answer:
zaharov [31]3 years ago
8 0

Step-by-step explanation:

c=p-0.35p

If the guitar is 315 dollars, then the price with discount is 204.75

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Tpy6a [65]

Answer:

Step-by-step explanation:

7.5

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3 years ago
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A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the
Lostsunrise [7]

Answer: 5.7\ cm

Step-by-step explanation:

Given

Rectangle has an area of 19.38\ cm^2

Suppose rectangle length and width are l and w

If each side is increased by 1.50\ cm

Area becomes A_2=35.28\ cm^2

We can write

\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)

Substitute the value of width from (ii) in equation (i)

\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7

Width corresponding to these lengths

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8 0
3 years ago
Evaluate each expression. Determine if the final simplified form of the expression is positive or negative -42 (-4)2 42
Sati [7]

Answer:

Given the expression:

1.

-4^2

we know:

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then;

-4^2 = -16

Therefore, the value of expression -4^2 is -16 i.e negative.

2.

(-4)^2

we know:

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(-1)^2 = 1

then;

(-4)^2 = (-1)^2 \cdot (4)^2= 16

Therefore, the expression (-4)^2 is 16 i.e Positive.

3.

4^2

we know:

4^2 = 4 \times 4 = 16

then;

4^2 = 16

Therefore, the expression 4^2 is 16 i.e Positive.


8 0
2 years ago
Matrix A has 2 rows and 3 columns whereas matrix B has3 rows and 2 column
sergeinik [125]

Step-by-step explanation:

for any matrix multiplication number of columns of first matrix should be equal to number of rows of second matrix.

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2 years ago
Sorry there is a few pics please help
Sever21 [200]

Answer:

D

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