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4 years ago

Three-quarters of a number is 15 work out four-fifths of the number

Mathematics

1 answer:

Anna11 [10]4 years ago

8 0

Let the number be X

3/4 of X = 15

Multiplying out gives;

3X = 4x15

3X= 60

X = 20

Therefore, 4/5 of 20

Putting X = 20 we have;

4/5 x 20 = 16

Hope this help!

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Answer:

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Step-by-step explanation:

The area of an isosceles is $\frac{bh}{2}$

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3 years ago

The value of x for which 3 (x-2) = 2 (x+1)

netineya [11]

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

3(x - 2) = 2(x + 1)

Step 2: Solve for x

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Step 3: Check

Plug in x into the original equation to verify it's a solution.

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3 years ago

AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

VMariaS [17]

Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

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3 years ago