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2 years ago

Need help with 17 pre college

Mathematics

1 answer:

Ratling [72]2 years ago

6 0

No because if you plug in 4 for x and 5 for y you get -4 not 36

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There are 25 kids in a class, and the number of boys is 2/3 of the number of girls. How many boys and how many girls are in this

Ksju [112]

25 kids in all
2xboys:3x girls

so the equation would be
2x+3x=25
solve,
5x=25
/5 /5
x=5
2x=10
3x=15

10 boys and 15 girls

3 0

3 years ago

The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

Read 2 more answers

Find the solutions of (x – 4)(x – 4) = 0.

lisabon 2012 [21]

Answer:

Step-by-step explanation:

(x – 4)(x – 4) = 0.

So factor are x-4=0

X=4 (D) is the answer

7 0

3 years ago

X2 2 ab ab to b The diagian K n shows rectangle. The shade Find x.

Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0

3 years ago

Plz help Don’t know which one it is?

ddd [48]

Answer:

First option $6^\frac{1}{6}$ is the correct answer.

Step-by-step explanation:

Let us consider each part, we have number 6 inside all the roots.

First we have to find cube root of 6.

$\sqrt[3]{6} =6^\frac{1}{3}$

Now we have to find square root of this value.

$\sqrt{6^\frac{1}{3} } =(6^\frac{1}{3} )^\frac{1}{2} =6^\frac{1}{6}$

So, first option $6^\frac{1}{6}$ is the correct answer.

3 0

3 years ago