All categories

3 years ago

PLEASE HELP. Solve for x

Mathematics

1 answer:

sergejj [24]3 years ago

6 0

Answer:

x=8

Step-by-step explanation:

set up a proportion:

$\frac{20}{4}=\frac{4x-7}{5}$

simplify:

$5 =\frac{4x-7}{5}$

now solve this equation for x:

$5 = \frac{4x-7}{5} \\25 = 4x - 7\\32 = 4x\\x = 8$

You might be interested in

Factor 4a2 - 25.<br><br> A. (2a + 5)(2a + 5)<br> B. (2a - 5)(2a - 5)<br> C. (2a - 5)(2a + 5)

nikdorinn [45]

This is the diference of 2 perfect squares. 4 is a perfect square, x^2 is a perfect square, and 25 is a perfect square. The pattern for this is (ax + b)(ax - b). Our a is 2 since 2*2 = 4, and our b is 5 since 5*5 = 25. So your factors are (2a+5)(2a-5), choice C.

3 0

3 years ago

what is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? y = 4x − 2 y = 2x − 4 y = −3(x − 4) y =

Brilliant_brown [7]

Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).

y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)

7 0

3 years ago

Arectangularplotoflandistobefencedinusingtwokinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a fo

svlad2 [7]

Answer:

Dimensions of the rectangular plot will be 500 ft by 750 ft.

Step-by-step explanation:

Let the length of the rectangular plot = x ft.

and the width of the plot = y ft.

Cost to fence the length at the cost $3.00 per feet = 3x

Cost to fence the width of the cost $2.00 per feet = 2y

Total cost to fence all sides of rectangular plot = 2(3x + 2y)

2(3x + 2y) = 6,000

3x + 2y = 3,000 ----------(1)

3x + 2y = 3000

2y = 3000 - 3x

y = $\frac{1}{2}[3000-3x]$

y = 1500 - $\frac{3x}{2}$

Now area of the rectangle A = xy square feet

A = x[ $1500-\frac{3x}{2}$ ]

For maximum area $\frac{dA}{dx}=0$

A' = $\frac{d}{dx}(1500x-\frac{3}{2}x^{2})$ = 0

1500 - 3x = 0

3x = 1500

x = 500 ft

From equation (1),

y = 1500 - $\frac{3}{2}\times 500$

y = 1500 - 750

y = 750 ft

Therefore, for the maximum area of the rectangular plot will be 500 ft × 750 ft.

two fencing 3(500+500) = $3000

other two fencing 2(750+750) = $3000

8 0

3 years ago

Write this ratio 1:3.5 in the form p:q where p and q are whole numbers

Orlov [11]

We have to express the ratio 1 : 3.5 in the form p:q where p and q are whole numbers.

Consider the ratio of 1 and 3.5,

1 : 3.5 = $\frac{1}{3.5}$

= $\frac{10}{35}$

Reducing the above fraction to its lowest form.

So, we get $\frac{10}{35}=\frac{2}{7}$

Therefore, the ratio 1 : 3.5 is expressed as $\frac{2}{7}$

where 2 and 7 are the whole numbers.

4 0

3 years ago

Whats slope intercept form for 2x- 5y=10

damaskus [11]

Answer:

y=-2/5x-2

Step-by-step explanation:

First, you put x to the other side of the equation so you get y alone, getting the equation of -5y=-2x+10. In order to just have y on one side, you need to divide the whole equation by -5. This leads to the final answer of y=-2/5x-2.

3 0

2 years ago