A car dealership increased the price of a certain car by 11%. The original price was $45,400.

Answer:

Step-by-step explanation:

(7x - 1) + 79° = 21x + 8

• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex](7x - 1) +79 = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x + 78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\ \frac{70}{14} = x \\ 5 = x \\[/tex]

NRS = 21x + 8

[tex]21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\ {113}^{o} [/tex]

Answer:

21.59cm

Step-by-step explanation:

Multiply 8.5 by 2.54 to convert in. to cm.

Answer:

Step-by-step explanation:

12. 15 (3x5x1)

13.  8  (4x2x1)

14. 18 (6x3x1)

Step-by-step explanation:

Given equation is 4/(s-3) + (s/2) = -2

=> [(4×2)+s(s-3)]/2(s-3) = -2

=> (8+s²-3s)/(2s-6) = -2

=> 8+s²-3s = -2(2s-6)

=> 8+s²-3s = -4s+12

=> s²-3s+8+4s-12 = 0

=> s²+s-4 = 0

The standard form is s²+s-4 = 0

Answer:

166,400,000

Got the same one today and figured it out! Yw!❤

Sorry that took so long......

Messed up on the last part!

Have a great day!!!!!

Answer:

y=2x+1, assuming my change in the reported data was correct.

Step-by-step explanation:

The data for x had one more entry than the values for y.  I removed the second "0" so that the x and y points line up, as shown in the attached image.  The data indicate a straight line, with a slope of 2 (y increases by 2 for every x increase of 1).  The y-intercept is 1, as per the first data point (0,1).

Answer:

11

Step-by-step explanation:

y=3 × 5 -4

=15-4

11

this is your answer

Step-by-step explanation:

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[tex]\bf6 \frac{4}{5} + 6 \frac{4}{5} = (6 + 6) \frac{4}{5} = 12 \frac{4}{5} [/tex]

________

6 4/5 + 6 4/5 = ...

= (6 × 2)4/5

= 12 4/5 (A.)

n + 1 = 4(n - 8)

n + 1 = 4n - 32

n - 4n = -32 - 1

-3n = -33 / : (-3)

n = 11

Answer:

0.649

Step-by-step explanation:

The probability that the number of people who show up to the plane exceed the capacity of the plane is 0.257.

Binomial distribution in probability is the discrete distribution that results in only two possible values in an experiment. The two possible values are either success/ true/ one which is denoted by probability 'p' or failure/ false/ zero which is denoted by q = 1 - p.

Binomial distribution formula can be written as,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

where, n is number of experiments and x = 0, 1, 2, ...

Here, it is given that capacity of plane is 68

Number of people actually booked for flight is 70 ⇒ n = 70

Probability that people booked on their flight actually show up = 0.97

So, p = 0.97

⇒ q = 1 - p = 1 - 0.97 = 0.03

Let P be the probability that the number of people showing up exceed the capacity of the plane.

P = P (x = 69) + P (x = 70)

P = [⁷⁰C₆₉ (0.97)⁶⁹ (0.03)⁷⁰⁻⁶⁹] + [⁷⁰C₇₀ (0.97)⁷⁰ (0.03)⁷⁰⁻⁷⁰]

P = [ 70 × 0.122 × 0.03] + [1 × 0.119 × 0.03]

P = 0.2562 + 0.00357

P = 0.2598 ≈ 0.257

Hence, probability that the number of people who show up will exceed the capacity of the plane is 0.257.

To learn more on binomial probability distribution, click:

https://brainly.com/question/7283210

#SPJ2

Answer:

4 groups of 3

Step-by-step explanation:

Answer:

The answer is 2a^3\sqrt11a

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

2[tex]2\sqrt{11} a^{3} \sqrt{a}[/tex]

Step-by-step explanation:

Apply Radical rule: ([tex]\sqrt{ab}= \sqrt{a}\sqrt{b}[/tex])

Which gets you:

[tex]\sqrt{44a^{7} }=\sqrt{44}\sqrt{a^{7} }[/tex]

= [tex]\sqrt{44} \sqrt{a^{7} }[/tex]

Simplify and gets you the answer above

Answer:

40

Step-by-step explanation:

It is 40 because on the graph it shows that you don't start at the first crate but the 2nd you do and you have to figure out if the crate was one how many apples would their be

Standard Form: Ax + By = C

---A cannot be negative, nor can it be a decimal or fraction

y - 6 = -1/2(x - 5)

Distribute the -1/2

y - 6 = -1/2x + 5/2

Add -1/2x to both sides

1/2x + y - 6 = 5/2

Add 6 to both sides

1/2x + y = 17/2

Multiply everything by 2 to get rid of the fractions

x + 2y = 17

Hope this helps!! :)

Answer:

1) 14/3 (D)

2) -0.6 (C)

Step-by-step explanation:

1) 5-(2/3)*(2/3//4/3)

2)|-1.2-2.03|-2.03/-2

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

Answer:

Z(2z+1)+z(4z+5)

[tex]2 {z}^{2} + z + 4 {z}^{2} + 5z[/tex]

[tex]6 {z}^{2} + 6 {z}[/tex]

[tex]6z(z + 1)[/tex]

Answer:

84

Step-by-step explanation:

1110 = 150 + (15 * 64)

150 is 20 cameras, so we get 64 + 20 = 84 cameras

Answer:

93 cameras

Step-by-step explanation:

it's actually 92.6666666667 but i rounded

Answer:

[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]

The measure of angle one is 24°

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]

This shows that the equivalent expression of the difference of two squares is -1

Learn more here: https://brainly.com/question/11084694

Answer:

8

Step-by-step explanation:

2(8-4)

PEMDAS says parentheses first

2 * (4)

Then multiply

8

Answer:

8

Step-by-step explanation:

2(8-4)

2(4)

8

3(m+2) = 5m-58

3m+6 = 5m-58

6 = 2m-58

64 = 2m

m = 32

Answer:

Sale price = x - 0.45x

Step-by-step explanation:

Answer:

Together they have $79.52

Answer:

3x + 2y + 12 = 0

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

(Credits: Symbolab)

an integer is the number that is not a fraction,

irrational number can be positive or negative with fractions or decimal points

a whole number cannot be negative or fractional or decimal

given :- tanA=4/3

we already know that tanA=P/B

From Pythagorean theorem we get..

H²=P²+B²

H²=4²+3²

H²=16+9

H²=25

H²=5²

H=5

SinA=P/H

CosA=B/H

from that

SinA= 4/5

CosA=3/5