3×4/5 as a unit fraction?

The sum of a number X and 1/2 equal to four which set of equations correctly represents X

tamaranim1 [39]

Answer:

D. 3 1/2

Step-by-step explanation:

Sum means addition (+)

Sum of a number, x and 1/2=4

This means the addition of the two numbers

x+1/2=4

Make x the subject of formula

x=4-1/2

Finding the L.C.M

= 8-1/2

x=7/2

x=3 1/2

4 0

3 years ago

Boating: A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph, how long will i

Lostsunrise [7]

The time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

A paddleboat moves at a rate of 12 mph in still water. If the rover’s current moves at a rate of 3 mph.
how long will it take the boat to travel 36 miles downstream and 36 miles upstream?

The time taken by the boat upstream will be calculated as:-

( B + W ) Td = D

( 12 + 3 ) Td = 32

( 15 ) Td = 32

Td = 32 / 15 = 2.1 hours

The time taken by the boat downstream will be calculated as:-

( B - W ) Tu = D

( 12 - 3 ) Tu = 32

9 Tu = 32

Tu = 32 / 9 = 3.56 hours.

Therefore the time taken by the boat to travel 32 miles downstream is 2.1 hours and for upstream 3.56 hours.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0

2 years ago

What is the missing value in the proportion 4/5 = x/30?

ra1l [238]

Answer:

$\displaystyle x = 24$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4}{5} = \frac{x}{30}$

Step 2: Solve for x

[Multiplication Property of Equality] Cross-multiply: $\displaystyle 5x = 120$
[Division Property of Equality] Divide 5 on both sides: $\displaystyle x = 24$

4 0

3 years ago

A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line.

Annette [7]

Answer:

$\boxed {\boxed {\sf y=8x-14}}$

Step-by-step explanation:

We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,

m= 8
x₁= 1
y₁= -6

Substitute these values into the formula.

$y- (-6) = 8(x-1)$

Remember that 2 back to back subtraction signs are the same as an addition sign.

$y+6=8(x-1)$

The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.

$y+6 = (8*x) + (8*-1)$