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2 years ago

6

the book fair had a sale where 6 books were 20.46 If you wanted to buy 7 books how much money would need

2 answers:

Alinara [238K]2 years ago

4 0

Answer:

$23.87

Step-by-step explanation:

We can start by figuring out how much one book costs. To do this we divide 20.46 by 6.

20.46/6=3.41

Each book costs 3.41

Since we bought 7 books we multiply 3.41 by 7

3.41*7=$23.87

Scilla [17]2 years ago

3 0

Answer:

20.46 divided by 6 = 3.41

3.41 times 7 = 23.87

Step-by-step explanation:

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How do u find the slope of (6,-10), (-15,15)

Sergeu [11.5K]

$m = \frac{y_{2} - y_{1}}{x_{2}- x_{1}} = \frac{15 - (-10)}{-15 - 6} = \frac{15 + 10}{-21} = \frac{25}{-21} = -1\frac{4}{21}$

   y - y₁ = m(x - x₁)
y - (-10) = -1⁴/₂₁(x - 6)
   y + 10 = -1⁴/₂₁(x) + 1⁴/₂₁(6)
   y + 10 = -1⁴/₂₁x + 7¹/₇
   - 10 - 10
   y = -1⁴/₂₁x - 3¹/₇

7 0

3 years ago

Calculate the surface area of the prism. Measurements are in centimetres

Nata [24]

Answer:

2804 cm²

Step-by-step explanation:

<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>

Trapezoid = 1/2*(14+32)*24 = 552 cm² each
Bottom = 17*32 = 544 cm²
Top = 14*17 = 238 cm²
Right side = 17*24 = 408 cm²
Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²

<u>Total area:</u>

552*2 + 544 + 238 + 408 + 510 = 2804 cm²

6 0

3 years ago

6) Jasmine created a playlist on her cell phone. The

Brilliant_brown [7]

Chilee i DONT know I’m just trying to get these points

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3 years ago

Find the value(s) of k such that 4x² + kx + 4 = 0 has 1 rational solution

Blababa [14]

Answer:

If you mean only one rational solution, the answer is

$k_1 = 8, k_2 = -8$

If you mean at least 1 rational solution, the answer is

$k\in (-\infty, -8]\cup[8, \infty)$

Step-by-step explanation:

$4x^2 + kx + 4 = 0$

Let's calculate the discriminant.

$\Delta = b^2 - 4ac$

$\Delta = k^2 -4 \cdot 4 \cdot 4$

$\Delta = k^2 -64$

Now, remember that:

$\text{If } \Delta > 0 : \text{2 Real solutions}$

$\text{If } \Delta = 0 : \text{1 Real solution}$

$\text{If } \Delta < 0 : \text{No Real solution}$

Therefore, I will just consider the first two cases.

$k^2 - 64 > 0$

and

$k^2 -64 = 0$

$\boxed{\text{For } k^2 - 64 > 0}$

$k^2 > 64 \Longleftrightarrow k>\pm\sqrt{64} \Longleftrightarrow k\in (-\infty, -8)\cup(8, \infty)$

$\boxed{\text{For } k^2 - 64 = 0}$

$k^2 = 64 \Longleftrightarrow k=\pm\sqrt{64} \implies k_1 = 8, k_2 = -8$

7 0

3 years ago

A ramp 35 ft long rises to a platform. The bottom of the platform is 18 ft from the foot of the ramp. Find x, the angle of eleva

puteri [66]

Answer:

$x\approx 59.1^\circ$

Step-by-step explanation:

Since we want to find <em>x</em> and we are given the hypotenuse and the side adjacent to <em>x</em>, we can use the cosine ratio:

$\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is 18 and the hypotenuse is 35. Substitute:

$\displaystyle \cos x=\frac{18}{35}$

Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:

$\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ$

8 0

3 years ago