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3 years ago

Explain how you could estimate 22% of 78 to check if your answer is reasonable.

1 answer:

5 0

you can find 10 percent by dividing 78 by 10 which is 7.8. Then you double that to find 20 percent. That will make you find 20 percent! close to 22

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Divide 55 in a ratio 3 : 7 Need help please

Alex Ar [27]

3+7=10
55/10=5.5
5.5 x 3=16.5
5.5 x 7=38.5
16.5 : 38.5

3 0

2 years ago

Read 2 more answers

Find the mean of the data set. if necessary, round to the nearest tenth. 18 14 8 22 25 8

Elden [556K]

To work out the mean of a data set add all the numbers together and divide them by the number of data items there are.

18 + 14 + 8 + 22 + 25 + 8 = 95

95/6 = 15.8 (that answer is rounded)

6 0

3 years ago

Find the point, M, that divides segment AB into a ratio of 3.1 if A is at (-4,-2) and B is at (4. -10).

Natasha_Volkova [10]

Answer:

The coordinates of M are (2,-8)

Step-by-step explanation:

The coordinates of the point that divides the line segment joining

$A(x_1,y_1)$ to $B(x_2,y_2)$ in the ratio m:n is given by:

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.

Then

$(\frac{3(4)+1(-4)}{3+1},\frac{3(-10)+1(-2)}{3+1})$

$(\frac{8}{4},\frac{-32}{4})$

The coordinates of M are (2,-8)

7 0

2 years ago

What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

Given:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

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

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

6 0

3 years ago

Construye un rectángulo de 12 cm de altura y 5 cm de ancho (Píntalo). Luego a) Calcula el perímetro del rectángulo. B) Calcula e

lara [203]

Step-by-step explanation:

Build a rectangle 12 cm high and 5 cm wide (Paint it). Then a) Find the perimeter of the rectangle. B) Find the area of the rectangle. Aiuda porfis.

Length of the rectangle is 12 cm

Breadth of the rectangle is 5 cm

Perimeter is the sum of all sides. For rectangle it is given by :

P = 2(l+b)

⇒ P=2(12+5)

P = 34 cm

Area of a rectangle is equal to the product of its length and breadth.

So,

A = lb

A = 12 cm × 5 cm

⇒A = 60 cm²

Hence, perimeter is 34 cm and area of rectangle is 60 cm².

8 0

3 years ago