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2 years ago

The cost of 7 scarves is $61.25. What is the unit price?

Mathematics

2 answers:

jasenka [17]2 years ago

5 0

$8.75 per scarves , divide 61.25 by 7

Minchanka [31]2 years ago

4 0

Answer:

$8.75

Step-by-step explanation:

$61.25/7 = 8.75

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4 1/4 divided by 2/7 (x+8)-(3x- 5) Explain how you got the answer!!!!!

Dmitry_Shevchenko [17]

Turn it to improper fractions.

4 1/4 divided by 2/7

Divide them.

17/4 divided by 2/7

17 2 17 x 7

--- ÷ --- = --------- = 119/8 OR 14 7/8

4 7 4 x 2

-----------------------------------------------------

Distribute to take out the parentheses.

(x + 8) - (-3x - 5)

Combine like terms.

x + 8 + 3x + 5

Answer.

4x + 13

8 0

2 years ago

Solve for x:a(a²+b²)x²+b²x-a

m_a_m_a [10]

Answer:

x = a/(a² + b²) or x = -1/a

Step-by-step explanation:

a(a²+ b²)x² + b²x - a =0

Use the quadratic equation formula:

$x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} =\dfrac{-b\pm\sqrt{D}}{2a}$

1. Evaluate the discriminant D

D = b² - 4ac = b⁴ - 4a(a² + b²)(-a) = b⁴ + 4a⁴ + 4a²b² = (b² + 2a²)²

2. Solve for x

$\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-b^{2}\pm\sqrt{(b^{2}+2a^{2})^{2}}}{2a(a^{2} + b^{2})}\\\\ & = & \dfrac{-b^{2}\pm(b^{2}+ 2a^{2})}{2a(a^{2} + b^{2})}\\\\x = \dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}\\\\x =\dfrac{-b^{2}+(b^{2} + 2a^{2})}{2a(a^{2} + b^{2})}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\\end{array}$

$\begin{array}{rcl}x = \large \boxed{\mathbf{\dfrac{a}{a^{2} + b^{2}}}}&\qquad& x =\dfrac{-b^{2}-(b^{2} +2a^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2b^{2}- 2a^{2}}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\dfrac{-2(a^{2}+ b^{2})}{2a(a^{2} + b^{2})}\\\\&\qquad& x =\large \boxed{\mathbf{-\dfrac{1}{a}}}\\\\\end{array}$

5 0

3 years ago

A rectangle has the

SVEN [57.7K]

Answer:

15.5 inches

Step-by-step explanation:

Length of rectangle = 22 inches
Perimeter = 75 inches

To calculate : Width of the rectangle.

★ Perimeter of rectangle = 2( l + w )

→ 75 = 2(22 + w)

→ 75 = 44 + 2w

→ 75 – 44 = 2w

→ 31 = 2w

→ 31 ÷ 2 = w

→ 15.5 inches = Width

Therefore, width of the rectangle is 15.5 inches.

6 0

2 years ago

If 2x - 3 = 3x - 7, what is the value of x?

icang [17]

Answer:

x=4

Step-by-step explanation:

2x-3=3x-7

Subtract 2x from both sides of the equation

-3=x-7

Add 7 to both sides of the equation to isolate x

7 0

3 years ago

The sum of the two digits of a number is 16. The number formed by reversing the digits is 18 more than the original number. Dete

nydimaria [60]

9u-9t=18

original no. is 10t+u
reversed no. is 10u+t

so its (10u+t)-(10t+u)=18
which gives 9u-9t=18

5 0

2 years ago