Find the linear inequality & show it on a number line:
5(x-3) < 20

Answer:

A . altitude

Step-by-step explanation:

Answer:

91.204 cubic feet

Step-by-step explanation:

We are given that

Height of great pyramid, h=480feet

Side of square base, a=755  feet

Height of Danny's pyramid, h'=480/100 feet

Side of square base of Danny's pyramid, a'=755/100 feet

We have to find the volume of Danny's pyramid if the volume of Danny's pyramid is 1/100 the size of great pyramid.

We know that

Volume of square base pyramid, V=[tex]\frac{1}{3}a^2h[/tex]

Where a= Side of base

h=Height of pyramid

Using the formula

Volume of Danny's pyramid=[tex]\frac{1}{3}\times(755/100)^2(480/100)ft^3[/tex]

Volume of Danny's pyramid=91.204 cubic feet

Answer:

3.1w

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Because i said so

Answer:

Step-by-step explanation:

1/3

Answer:

The slope of the line is: [tex]m=-\frac{1}{2}[/tex]

The y-intercept b = 3

The slope-intercept equation of the line is:  [tex]y\:=\:-\frac{1}{3}x+3[/tex]

Step-by-step explanation:

Taking two points from the given graph

(0, 3) and (6, 0)

Determining the slope m

The slope between (0, 3) and (6, 0) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{0-3}{6-0}[/tex]

[tex]m=-\frac{3}{6}[/tex]

[tex]m=-\frac{1}{2}[/tex]

Thus, the slope of the line is: [tex]m=-\frac{1}{2}[/tex]

Determining the y-intercept (b)

The slope-intercept form of the line equation is given by

[tex]y = mx+b[/tex]

where

From the graph, we can figure out the y-intercept by checking the value of y at x = 0.

If we closely check the graph, at x = 0, the value of y = 3

Therefore, the y-intercept b = 3

Slope-intercept Equation

We already know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

substituting b = 3 and m = -1/2

[tex]y\:=\:-\frac{1}{2}x+3[/tex]

Therefore, the slope-intercept equation of the line is:  [tex]y\:=\:-\frac{1}{2}x+3[/tex]

The graph is also attached below.

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

Answer:

Where the information

Step-by-step explanation:

Answer:

idr

Step-by-step explanation:

Answer:

Yes, correct

Step-by-step explanation:

Answer:

14,593 -> 39,541: Correct!

Step-by-step explanation:

9514 1404 393

Answer:

  a)  $215,892.50

  c)  $220,803.97

  e)  $222,534.58

  f)  $222.554.09

Step-by-step explanation:

The compound interest formula is ...

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.

When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.

__

For continuous compounding, the formula is ...

  FV = Pe^(rt)

  FV = 100,000e^(0.08·10) = 222,554.09

Answer:

i got 7ft for the answer

Step-by-step explanation:

The length of the unknown side of the triangular frame is 7 ft.

"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."

From the drawn triangle

According to the law of cosines

[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]

⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]

⇒ [tex]x^{2} = 9+25+15[/tex]

⇒ [tex]x^{2} = 49[/tex]

⇒ [tex]x = \sqrt{49}[/tex]

⇒ [tex]x = 7[/tex]

Hence, the length of the unknown side of the triangular frame is 7 ft.

Learn more about triangle here

brainly.com/question/9528438

#SPJ2

Answer:

i’m pretty sure that it’s 50. i haven’t done this in a awhile though. but pretty positive it’s 50

Step-by-step explanation: :)

Answer:

1/20 kilogram of flour is in each bag.

Step-by-step explanation:

(1/2)/10=(1/2)(1/10)=1/20

Answer:

the cost of the blueberry packing be $2.75 and the cost of the strawberry topping be $1.57

Step-by-step explanation:

The computation is shown below:

Let us assume the blueberry topping be x

And, the strawberry topping be y

Now as per the question

8x = $22

Divide by 2 to the both sides

4x = $11

x = $11 ÷ 4

= $2.75

And,

4x + 7y = $22

Now put the x value in the above equation

4 × (11 ÷ 4) + 7y = $22

11 + 7y = $22

7y = $22 - $11

7y = $11

y = $11 ÷ 7

= $1.57

Hence, the cost of the blueberry packing be $2.75 and the cost of the strawberry topping be $1.57

Answer: a. ( 1, 6 )

Step-by-step explanation:

If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line

Answer:

slope: 3

y-intercept: 1

slope-intercept form equation: y = 3x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)

all you have to do now is solve for b.

first, multiply 3(3).

10 = 3(3) + b

10 = 9 + b

then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.

10 - 9 = b

1 = b aka b = 1

and now you have your b value!

so your slope is 3 and your y-intercept is 1.

i hope this helps! have a nice rest of your day <3

Answer:

1. the third one

2. the third one

3. the fourth one

5. the second one

Step-by-step explanation:

Answer:

1)7x+1

2)10a-(a-5)

3)Twice the sum of two different numbers

4)2x/x-1

Hope I helped!!!

Answer:

-10 + 2i

Yes, it is imaginary

Step-by-step explanation:

[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]

Answer:

false id k

Step-by-step explanation:

Answer:

0,4

Step-by-step explanation:

0,4 let me know if I'm wrong please

Answer:

how many pages in four days

To make it a parallelogram, the diagonals have to bisect each other (6x=3x+2)

Calculate and you will get x = 2/3

The value of x that makes the quadrilateral a parallelogram is 2/3.

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

We have a quadrilateral.

To show that the quadrilateral is a parallelogram:

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

That means,

6x = 3x + 2

3x = 2

x = 2/3

Therefore, the value of x is 2/3.

To learn more about the parallelogram;

https://brainly.com/question/29133107

#SPJ5

Answer:

11455

Step-by-step explanation:

you add it up and that is what you will get

Answer:

total mile=(3.75+4.25+2.25+2)×204mile=12.25×204=2499mile

9514 1404 393

Answer:

Step-by-step explanation:

The estimated mileage is found by multiplying the map scale by the map distance:

#1: (204 mi/cm)(3.75 cm) = 765 mi

The last of your attachments correctly shows the mileage for each of the distances you have identified on the map.

(Please note that the map is actually showing Springfield, IL. The location of Chicago is at the south end of Lake Michigan, not in the middle of IL. Perhaps the grid incorrectly lists Chicago instead of Springfield.)

__

Of course, the total distance is the sum of the distances of the legs of the trip:

  765 +867 +459 +408 = 2499 . . . . miles total distance

Answer:

3(k+d)

Step-by-step explanation:

Answer:

97.7°

Step-by-step explanation:

Supplementary angles are angles that add up to 180° together so 180-82.3=97.7

Answer:

X(−64/3, 0); 8/3

Step-by-step explanation:

To find the coordinates of the point X, first find the scale factor for a dilation of two similar triangles in the coordinate plane

To determine the scale factor, set up a ratio of the lengths of two corresponding sides of the triangles.

Use the Distance Formula d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ to find the length of the sides JK and JW.

Point J is the origin. Thus, the coordinates of the point J are (0,0).

It is given in the figure that the coordinates of the point K are (0,6).

To find JK, substitute x1=0, x2=0, y1=0, and y2=6 into the distance formula.

JK=(0−0)2+(6−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=62‾‾√=6

The length of JK is 6.

It is given in the figure that the coordinates of the point W are (0,16).

To find JW, substitute x1=0, x2=0, y1=0, and y2=16 into the distance formula.

JW=(0−0)2+(16−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=162‾‾‾‾√=16

The length of JW is 16.

To determine the scale factor, set up a ratio of the lengths of two corresponding sides, JW and JK, of the triangles.

JWJK=166=83

The scale factor is 83.

To find the coordinates of the point X multiply the coordinates of the point L by the scale factor.

It is given in the figure that the coordinates of the point L are (−8,0).

X(−8⋅83,0⋅83)=X(−643,0)

The coordinates of the point X are (−643,0).

The figure shows the same triangles K J L and W J X as in the beginning of the task. Point X is at minus 64 thirds, zero.

Therefore, the coordinates of X is (−643,0) and the scale factor is 83.