What is the value of the expression below? (4/5+3/5)+3.5x5
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Answer:

x = 5.25

Step-by-step explanation:

Solve by substitution by substituting 2x as y into the first equation:

1/2(2x + y) = 21/2

1/2(2x + 2x) = 21/2

Simplify and solve for x:

1/2(4x) = 21/2

2x = 21/2

x = 21/4

x = 5.25

So, x = 5.25

Answer:

x = 5.25

step- by - step explanation

1/2 × ( 2x + y ) = 21/2 .............( 1 )

y = 2x ......................( 2 )

substitute the value of y in ( 1 )

1/2 ( 2x + 2 x ) = 21/2

simplify

1/2 ( 2 x + 2 x ) = 21/2

combine like terms

1/2 ( 4x ) = 22/2

Divide the numbers

1/2 ( 4 x ) = 10.5

divide 4 x by 2

4 x / 2 = 10.5

2 x = 10.5

divide each side by 2

2x/2 = 10.5 / 2

x = 5.25

Answer:

45%

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

The segment in the triangle bisects ∠ BAC and divides the opposite side into segments that are proportional to the other 2 sides , that is

[tex]\frac{x+8}{2x-5}[/tex] = [tex]\frac{10}{14}[/tex] ( cross- multiply )

10(2x - 5) = 14(x + 8) ← distribute parenthesis on both sides

20x - 50 = 14x + 112 ( subtract 14x from both sides )

6x - 50 = 112 ( add 50 to both sides )

6x = 162 ( divide both sides by 6 )

x = 27

Answer: 0.4%

Step-by-step explanation:

First, a porportion needs to be set up.

part/whole = percent/100

28/7,000 = x/100

Second, cross multiply.

2800=7,000x

x=0.4

Answer:

y = 5x

Step-by-step explanation:

y = kx

65 = k (13)

65/13 = k

k = 5

~~~~~~~~~~~~

y = 5x

Answer:

recursive

Step-by-step explanation:

recursive lets us find the next term using a formula of the term preceding it or coming before it.

The type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion

Recursive function  is a function that repeats or uses its own previous term to calculate subsequent terms and thus forms a sequence of terms . Example : Arithmetic progression , geometric progression etc

so, the type of rule in which you are given the first term and then your equation gives you a method for finding the next term in a sequence is called Recursion

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Answer:

D. 7x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x - 2

g(x) = 2x + 1

Step 2: Find

Answer:

5$

Step-by-step explanation:

Answer:

1

5

2

Step-by-step explanation:

4-3=1

8-3=5

5-3=2

Hope this helps! :)

Answer:

a

c

c

a

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

y-y₁=m(x-x₁)

notice the negatives in the formula.

this changes coordinates. the positives to negative and negatives to positives

Answer:

D.16.5m

because circumference=21/7×5.25

=16.5m

Answer:

D. F(x) = (x - 1)^4

Step-by-step explanation:

To shift a graph h units horizontally, replace x by x - h.

The shift is 1 unit to the right, so the shift is positive 1.

h = 1

x - h = x - 1

Replace x with x - 1.

G(x) = x^2 becomes F(x) = (x - 1)^4

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

Answer:

C, y=2x(x-4)

Step-by-step explanation:

All the other equations can be graphed as lines, but C is the only one that is a parabola (a curve).

Answer:

21cm^2

Step-by-step explanation:

Area of Square-Area of semi circles (makes one full circle)

Squares Area = 100

LxW or (10x10)=100

Circle Area = 25/pi

/pi (radius)^2 or /pi(5)^2 = 25/pi

100cm^2-25cm^2 = 21.4601…cm^2 rounded to 21.5 cm^2

The area of the shaded region is 21.5 cm²

'In geometry, a semicircle is a plane figure that is formed by dividing a circle into exactly two parts.'

According to the given problem,

Side length of the square = 10

Area of the square = ( 10 × 10 )

                               = 100 cm²

Now, for the semi-circle,

Diameter = 10 cm

Radius = [tex](\frac{10}{2}[/tex][tex])[/tex] cm

            = 5 cm

Area of the semicircle =  [tex]\frac{\pi r^{2} }{2}[/tex]

                                     = [tex]\frac{\pi * 5^{2} }{2}[/tex]

Since, there are two semicircles in the square, we multiply the area with 2,

⇒ [tex]\frac{\pi *5^{2} }{2}*2[/tex]

= 25[tex]\pi[/tex]

Area of the shaded region = ( 100 - 25π )

                                            = ( 100 - 78.53 )

                                            = 21.46

                                            ≈ 21.5 cm²

Hence, we can conclude, the area of the shaded region is 21.5 cm².

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Answer:

Exponential

Step-by-step explanation:

Linear is easy to remember because it goes in a straight LINE.

Only other option is a quadratic and this does not create a parabola

Given:

The height, in feet, of each rocket at t seconds after launch is given by the polynomial equations:

Rocket A: [tex]-15t^2+100t[/tex]

Rocket B: [tex]-14t^2+85t+3[/tex]

To find:

The equation to find the "difference" in height of Rocket A and Rocket B.

Solution:

The difference in height of Rocket A and Rocket B is:

Difference = Height of Rocket A - Height of Rocket B

[tex]\text{Difference}=(-15t^2+100t)-(-14t^2+85t+3)[/tex]

[tex]\text{Difference}=-15t^2+100t+14t^2-85t-3[/tex]

[tex]\text{Difference}=(-15t^2+14t^2)+(100t-85t)-3[/tex]

[tex]\text{Difference}=-t^2+15t-3[/tex]

Therefore, the difference in height of Rocket A and Rocket B is [tex]-t^2+15t-3[/tex].

Answer:

x = 33

Step-by-step explanation:

(x + 13) + (4x + 2) = 180

x + 13 + 4x + 2 = 180

5x + 15 = 180

5x = 180 - 15

5x = 165

x = 165/5

x = 33

Check:

(x + 13) + (4x + 2) = 180

(33 + 13) + 4(33) + 2 = 180

46 + 132 + 2 = 180

46 + 134 = 180

Answer:

Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.

Step-by-step explanation:

A parallelogram have opposite sides parallel and congruent

the given quadrilateral is a parallelogram then

10 = x + 2 Equation A

x + 5 = 2x - 3 Equation B

Solving for Equation A:

x = 10 -2 = 8 inches

Solving for Equation B;

2x - x = 5 + 3

x = 8 inches

Value X are the same equations.

Means that

For x=8 inches opposite side

So Yes one pair of the opposite sides could measure 10 inches , and the other pair could measure 13 inches.

Answer:

4,8,12 hope that helps heeeeheheʘ‿ʘ

Answer:other number is 11,4

Step-by-step explanation:

The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

Here,

Let's consider the situation described in the problem:

An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.

Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.

Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).

The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.

Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).

The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:

tan(angle) = opposite / adjacent

In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):

tan(15°) = 2 / x

Now, solve for x:

x = 2 / tan(15°)

Using a calculator:

x ≈ 2 / 0.26794919243 ≈ 7.47 miles

So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

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Answer:

y=-5x+4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-16-(-6))/(4-2)

m=(-16+6)/2

m=-10/2

m=-5

y-y1=m(x-x1)

y-(-6)=-5(x-2)

y+6=-5(x-2)

y+6=-5x+10

y=-5x+10-6

y=-5x+4

Answer:

C.

Step-by-step explanation:

First you solve the bracket...

(22+50)= 72

72×2=144

Answer:

the answer is D because it has to greatest factor

A (5(8+20)=40+100

B (4(40+96)=160+384

C (2(22+50)=44+100

D (4(11+25)=44+100

Answer:

EF = 9

GF = 2

Step-by-step explanation:

For EF, we want to find the distance between their c coordinates, since their y coordinates are the same. We want the distance between -4 and 5, which when you add their distance from 0, is 9.

For GF, they share the same x coordinate, so you're finding the distance between their y coordinates, which are 3 and 5. The distance between the two is 2, so the length of GF is 2.

Answer:

The volume of the cylinder is defined by the expression .

[tex]V=\pi (x+8)^2 (2x+3) or V=\pi (2x^3 + 35x^2 + 176x +192)[/tex]

The volume of the cylinder where the radius is r = ( x + 8 ) and height is h = ( 2x + 3 ) is given by the expression V = π ( 2x³ + 35x² + 176x + 192 ) units³

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be V

Now , the radius of the cylinder is r = ( x + 8 ) units

The height of the cylinder is h = ( 2x + 3 ) units

And , Volume of Cylinder = πr²h

On simplifying , we get

The volume of cylinder V = π ( x + 8 )² ( 2x + 3 ) units³

The volume of cylinder V = π ( x² + 16x + 64 ) ( 2x + 3 )

The volume of cylinder V = π ( 2x³ + 35x² + 176x + 192 ) units³

Hence , the volume of cylinder is V = π ( 2x³ + 35x² + 176x + 192 ) units³

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Answer:

15.73 %

Step-by-step explanation:

Given :-

For finding% :-

→ 14/89 * 100

→ 15.73 %

Answer:

15.73% to the nearest hundredth.

Step-by-step explanation:

14/89 = 0.157303

Now multiply  by 100

This gives 15.7303 %