A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
rectangle is 94 units, what is the length of the rectangle.

Answer:

30

Step-by-step explanation:

since this is rhombus 1 2 3 4 must be equal

|NP|=|MN|

so 180-120=60

60/2=30

Answer: All four angles (angle1,2,3,4) are 30 degrees each

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Explanation:

A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).

Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.

This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.

Let's find the missing angle

M+N+P = 180 ... angles of a triangle add to 180

M+120+M = 180 ... plug in N = 120, replace P with M

2M+120 = 180

2M = 180-120 ... subtracting 120 from both sides

2M = 60

M = 60/2 .... dividing both sides by 2

M = 30

So N is also 30 degrees

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

We've found that both angle 1 and angle 3 are 30 degrees each.

Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.

Therefore, we can say

angle 1 = angle 4 = 30 degrees

angle 2 = angle 3 = 30 degrees

f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,

f(4)- g(4) = 34+8= 42

Answer: 2/4=1/2

Step-by-step explanation: 4-2=2. 7-3=4

Answer:

1/2

Step-by-step explanation:

4-2=2

7-3=4

2/4

Answer:

it's $25.00

Step-by-step explanation:

Answer:

x = 0.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form: x = -1/2

Answer:

80

Step-by-step explanation:

You have to multiply .16 times 5, and that gets your answer, 80!

Answer:

use math(way)

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

Answer:

if i remember correctly i think its carrot

Step-by-step explanation:

:P

Answer:

the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Step-by-step explanation:

The computation of the amount of outstanding checks at the closing of Nov and dec is as follows

Particulars             November        December

Written checks     $10,310              $11,785

Less:

Presented checks  -$8,580            -$10,770

Outsanding checks $1,730              $1,015

Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively

Answer:

[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]

Answer:

1.3x -6 => 3x = 6 => x = 2

2.4x = -8 => x= -2

3.3x => if 3x = 0 ..x is> 0 too

but if 3x= 1 ..x is 1/3

i h○pe it helps u ...:)

Answer:

3231

Step-by-step explanation:

The answer is in the 3,000 area i messed up to get the exact amount

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

Answer:

Points Yay Woop Woop

Step-by-step explanation:

Pointsssssss

Answer:

[tex]P(X=10) = 0.1222[/tex]

Step-by-step explanation:

Represent Green with G

So,

[tex]G = 50\%[/tex]

Required

Determine the probability that 10 out of 16 prefer green

This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.

[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]

In this case:

[tex]n = 16[/tex] -- number of people

[tex]x = 10[/tex] -- those that prefer green

So, the expression becomes:

[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]

[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]

Substitute 50% for G (Express as decimal)

[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]

[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]

Apply law of indices

[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]

[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]

Solve 16C10

[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]

[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]

[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]

[tex]P(X=10) = 8008 * 0.50^{16[/tex]

[tex]P(X=10) = 8008 * 0.00001525878[/tex]

[tex]P(X=10) = 0.12219231024[/tex]

[tex]P(X=10) = 0.1222[/tex]

Hence, the required probability is 0.1222

Answer:

128

Step-by-step explanation:

You would multiply 79 by 1.62 to get the answer.

This would give you 127.98 which you would round up to 128.

Answer:

128

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

This is because the sum of 2 sides of a triangle has to be greater than the side that was not used

Answer:

x=60

Step-by-step explanation:

right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees

Step-by-step explanation:

Start with G => G

Add X => G + X

Divide by A => (G + X)/A

Hebce the expression is (G + X)/A.

Answer:

g

, divide by 7, then add 3.

Step-by-step explanation:

Answer:

[tex]6^{8}[/tex]

Step-by-step explanation:

Di ako sure sa sagot ko.

(I'm not sure with my answer)

Step-by-step explanation:

7. The two coordinates are (0, 4) and (1, -4).

 To find the slope you would need to use the formula [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]

 [tex]y_{2}[/tex] = (-4), [tex]y_{1}[/tex] = 4

 [tex]x_{2}[/tex] = 1, [tex]x_{1}[/tex] = 0

[tex]\frac{(-4)-4}{1-0}[/tex] = [tex]\frac{-8}{1}[/tex] = -8

8. The coordinates, (1, 4) and (0, -2)

(-2) -4 / 0 -1 = -6 / -1 = 6

Sorry for not formatting 8

9. The coordinates (-1, 3) and (4, -1)

(-1) - 3/ 4 - (-1) = -4/ 5

10. The coordinates (1, -1) and (2, -2)

(-2)- (-1) / 2 -1 = -1 / 1 = -1

Hope this helps!!!

Answer:

oof

Step-by-step explanation:

Blouse

The Alphabet

Answer: 3. 2

Step-by-step explanation:

Given the data:

3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77

Point estimate of population mean :

Σx / N

(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)

= 38.41 / 12

= 3.2008

Answer:4,050

Step-by-step explanation:

Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.

Answer:   Y=-7 X=-9

Step-by-step explanation:

Answer:

[tex]\displaystyle x = \frac{216}{7}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]

Step 2: Solve for x

Answer:

[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]

Answer:

The common factors of 9 are  1, 3, and 9.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.

9x9x9x9divide by 4x4x4

Answer:

4⁹ / 4³ = 4⁶ = 4096

Step-by-step explanation:

You can solve this by realising that exponents (the 9 and the 3 in this case), simply tell you how many times to multiply the numbers together.

What you're see there then can also be expressed as:

[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4}[/tex]

Because the numerator and denominator are all multiples of the same number repeatedly, you can simply eliminate the bottom three fours from the top and bottom, giving you:

[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times (4 \times 4 \times 4)}{(4 \times 4 \times 4)}\\\\= 4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]

[tex]4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]

A simpler way to look at it is to understand that when the same number is being raised to different bases, and then multiplied or divided, you can simply add or subtract the exponents.  For example, speaking very generically:

[tex]x^a \times x^b = x^{a + b}[/tex]

and

[tex]x^a \div x^b = x^{a - b}[/tex]

In this case then, we can simply say:

[tex]\frac{4^9}{4^3} = 4^{9 - 3} = 4^6[/tex]

So when simplified, the expression is equal to 4⁶, or 4096.

Answer:

it will be a continuous model

Step-by-step explanation:

weekend weekend assume every amount of area infected by the bed period doubles as hour passes