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3 years ago

The ratio of money in Terry's bank account to Faye's bank account was 3:7.

Mathematics

1 answer:

kumpel [21]3 years ago

3 0

Answer:

£1300

Step-by-step explanation:

The ratio of their accounts = 3 : 7 = 3x : 7x ( x is a multiplier )

Terry puts £220 in his account, that is 3x + 220

Fay withdraws £300, that is 7x - 300

They now have the same amounts in their accounts, thus

7x - 300 = 3x + 220 ( subtract 3x from both sides )

4x - 300 = 220 ( add 300 to both sides )

4x = 520 ( divide both sides by 4 )

x = 130

Thus

Together they had 3x + 7x = 10x = 10 × 130 = £1300 altogether

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What is 3 divide by 148 but it’s LONG DIVISION. Please

saul85 [17]

Answer:

49 r. 3

$3 \div 148 \\ 3 \div 14 = 4 \\ 3 \div 28 = 9 \\ \\$

the answer is 49 but since three can go into 148 evenly the remainder is 3

7 0

3 years ago

Find an equation for the perpendicular bisector of the line segment whose endpoints

TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

$\boxed{gradient = \frac{y1 -y 2}{x1 - x2} }$

Gradient of given line

$= \frac{1 - ( - 5)}{3 - ( - 9)}$

$= \frac{1 + 5}{3 + 9}$

$= \frac{6}{12}$

$= \frac{1}{2}$

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

$\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }$

Midpoint of given line

$= ( \frac{3 - 9}{2} , \frac{1 - 5}{2} )$

$= ( \frac{ - 6}{2} , \frac{ - 4}{2} )$

$= ( - 3 , - 2)$

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 (-6 on both sides)

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0

3 years ago

If 14x = ^13√14, what value of x makes this equation true?

Andrews [41]

The value of x is 1/13 (4th choice)

Step-by-step explanation:

${a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} }$

If 14^x = ¹³√14, what value of x makes this equation true?

$\sqrt[13]{14} = {14}^{x} \\ \sqrt[13]{14} = {14}^{ \frac{1}{13} }$

So, the value of x is 1/13 (4th choice)

Hope it helpful and useful :)

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3 years ago

The function f(x) = (x - 4)(x-2) is shown.

ella [17]

Answer:

the range for f(x) = (x-4) (x-2) is [-1,∞)

Step-by-step explanation:

all real numbers greater than or equal to -1

4 0

3 years ago

A flower bed has a shape of a rectangle 9yards long and 3 yarss wide what is the area in square feet

Maslowich

It should be 81 square feet.

3 yards x 9 yards = 27 yards squares.

It asks for your answer in square feet, so you multiply by 3. This is because there are 3 feet in ever yard.

27 x 3 feet = 81 square feet.

8 0

3 years ago