Solve
-8- 21 + 10x=61

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

Answer:

x > 23

Step-by-step explanation:

5x – 1 < 7x - 47​

Add 1 to -47, you get -46.

5x < 7x - 46

Subtract 7x from 5x.

-2x < -46

Multiply both sides to reverse the inequality.

2x > 46

Divide both sides by 2.

x > 23

Answer:

A Blue Viper

Step-by-step explanation:

A Blue Viper can travel 18 2/5 miles on 4/5  tank of gas.

It can travel on full tank:

A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.

It can travel on full tank:

A Blue Viper can travel further as:

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

[tex]y=x+5\\3x+y=25[/tex]

To solve, we can use substitution.

Substitute the first equation into the second:

[tex]3x+y=25\\3x+(x+5)=25[/tex]

Combine like terms:

[tex]4x+5=25[/tex]

Subtract 5:

[tex]4x=20[/tex]

Divide by 4:

[tex]x=5[/tex]

Now, substitute this into the first equation:

[tex]y=x+5\\y=5+5[/tex]

Add:

[tex]y=10[/tex]

So, our answer is (5,10)

And we are done :)

Answer: yes

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

I think all numbers are technically natural

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

To learn more about an undefined geometric term visit:

https://brainly.com/question/949373.

#SPJ6

Answer: 10 Feet by 15 Feet

Step-by-step explanation:

Answer:

1000 tennis balls will produce the minimum  cost

Step-by-step explanation:

Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]

Where C(x)  is the  total cost in dollars

x is the number of tennis balls produced

We are supposed to find number of tennis balls will produce the minimum

cost.

Lead coefficient = 0.01

The lead coefficient is positive, the parabola opens up.

Thus ,the minimum is at the vertex.

[tex]x=\frac{-b}{2a}[/tex]

So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]

Substitute the value of x in given equation:

C(x)=200-10(1000)+0.01(1000)^2

C(x)=200

Hence 1000 tennis balls will produce the minimum  cost

Answer:

ABC = 36 , DBC = 44

Step-by-step explanation:

(7x+2) + (7x -6) = 8=

14x -4 = 80

14x = 84

x = 6

Answer:

It is a rational integer.

Step-by-step explanation:

'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].

It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.

Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.

'-3' is a rational number and an integer.

Hope this helps.

Answer:

12x -28

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

Distribute

20x -24  -8x -4

Combine like terms

12x -28

Answer:

see below

Step-by-step explanation:

5.

VW = 4x - 20

UW = 6X - 35

UV = 19

find x to get UW

UV + VW = UW

19 + 4x - 20 = 6x - 35

x = 17

VW = 4(17) - 20

VW = 48

UW = 6(17) - 35

UW = 67

----------------------------------------------------

6.

HJ = 7x - 27

HI = 3x - 5

IJ = x - 1

find the value of x

HI + IJ = HJ

3x - 5 + x - 1 = 7x - 27

x = 7

----------------------------------------------------

7.

BC = 4x - 29

CD = 5x - 9

BD = 7x - 10

find each value

BC + CD = BD

4x - 29 + 5x - 9 = 7x - 10

x = 14

BC = 4(14) - 29

BC = 27

CD = 5(14) - 9

CD = 61

BD = 7(14) - 10

BD = 88

----------------------------------------------------

8.

BD = BC

BD = 5x - 26

BC = 2x + 1

AC = 43

find AB

BD = BC

5x - 26 = 2x + 1

x = 9

AB + BC = AC

AB + 2(9) + 1 = 43

AB = 24

----------------------------------------------------

9.

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

KJ = 28

find LJ

MK + KN = MN

7x - 10 + x + 3 = 9x - 11

x = 4

KJ + LK = LJ

28 + 7(4) - 10 = LJ

LJ = 46

Answer:

[tex]832 \sqrt{13} [/tex]

Step-by-step explanation:

This question means

[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]

Lets solve it in simplest way

[tex](4 \sqrt{13} {)}^{3} [/tex]

[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]

[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]

[tex]64 \times 13 \times \sqrt{13} [/tex]

[tex]832 \sqrt{13} [/tex]

I hope u like it ‍❤️‍

cooment me for any question

Answer:

I think the value of x might be 127°

Answer:

60

Step-by-step explanation:

[tex]x=2y+1[/tex]

what is [tex]10y-5x[/tex]?

all you gotta do is substitute the value of [tex]x[/tex] in the equation:

[tex]x=2y+1\\10y-5(2y+1)[/tex]

now solve for [tex]y[/tex]:

[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]

so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]

Answer:

independent

Step-by-step explanation:

We put the independent variable on the x axis ( or horizontal)  and the dependent variable on the y axis ( or vertical)

Answer:

independent

Step-by-step explanation:

Answer:

Step-by-step explanation:

The real part is everything that does not multiply i. The imaginary part is everything that does multiply i.

Conventionally, the real part is written first:

  z = -32 +73i

Re(z) = -32

Im(z) = 73

Answer:

See below

Step-by-step explanation:

See attached table

Regular polygon with n sides can map onto itself n times

It will rotate 360°/n about its center every time and will map onto itself

Examples are in the attached table

Answer:

PLATO

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

Given,

cos theta = 0.5

To convert it into angle, you have to take cos to right side making it (cos inverse).

Therefore, theta = cos inverse (0.5)

= 60°.

Hope it helps......

Answer:

3

Step-by-step explanation:

sqrt9 = 3

Answer:

3y-7

Step-by-step explanation:

-4y + 7y - 10 + 3

Combine like terms

-4y + 7y      - 10 + 3

3y              -7

Answer:

w = 9

Step-by-step explanation:

We can use ratios to solve

2        3

---- = ------

6         w

Using cross products

2w = 3*6

2w = 18

Divide by 2

w = 9

Answer:

this is all I could find

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% [tex]\cdot35[/tex].

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.

Hope this helped!

Answer:

Step-by-step explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you