Four plus a number is the same as one plus five times the number

The length of a rectangle is 3 less than 2 times its width. The area of the rectangle is 77 squared feet.

larisa86 [58]

Answer:

Let the Width(W) =X feet

then Length(L) = (2X-3)feet

Area of the rectangle (A)=77 square feet

A = L× W

L×W=A

(2X-3) × X = 77

2X²- 3X =77

2X²-3X -77=0

Solving it using the factorization method

2X²-14X+11X-77=0

(2X²-14X)+(11X-77)=0

2X(X-7) + 11(X-7)=0

(2X+11)(X-7) =0

When 2X+11=0

X= -11/2

When X-7=0

X = 7

Therefore X= 7

Width = X feet

= 7feet

The width is 7feet

Length = (2X-3)feet

= (2×7) -3)feet

=(14-3)feet

=11feet

3 0

2 years ago

8c=5c+21 What would that be

NemiM [27]

To solve for C, you have to get both of the numbers with a C on the same side. So, subtract the 5c from the right side onto the left side.

$8c = 5c + 21\\8c - 5c = 5c - 5c + 21\\3c = 21$

Then, divide by 3 on each side.

$3c = 21\\3c /3 = 21/3\\c = 7$

So, c = 7.

7 0

2 years ago

Read 2 more answers

A cone is placed inside a cylinder, as shown below. They have the same height and diameter. About how much space is inside the c

nadezda [96]

The space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

We know the volume of the cylinder is given:

$\rm V = \pi r^2 h$

r = 10/2 = 5 FT

h = 12 FT

$\rm V = \pi (5)^2 \times 12$

V = 300π cubic FT

Volume of the cone:

$\rm v = \dfrac{\pi r^2 h}{3}$

$\rm v = \dfrac{\pi (5)^2 \times 12}{3}$

v = 100π cubic FT

Space is inside the cylinder but outside the cone = 300π - 100π

= 200π cubic FT

= 628.32 cubic FT

Thus, the space is inside the cylinder but outside the cone is 200π cubic FT or 628.32 cubic FT.

Learn more about the cone here:

brainly.com/question/16394302

#SPJ1

6 0

1 year ago

A car is driving at a speed of 40 mi/h. What is the speed of the car in feet per minute? a. 2,400 ft/min b. 211,200 ft/min c. 3,

SCORPION-xisa [38]

Answer:

3520 ft/min

Step-by-step explanation:

40 mi/h = (40 mi/h)×(5280 ft/mi)×(1 h)/(60 min) = 3520 ft/min

_____

Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.

3 0

2 years ago

Please help me with this

Ne4ueva [31]

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

$\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}$

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

$\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 }$

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

$\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 }$

Thefore the required answer is ,

$\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}$

4 0

2 years ago

Read 2 more answers