Cost of a New Car From 1970 to 1990, the average cost of a new car, C

(in dollars), can be approximated by the model C = 30.512 + 4192, where

t is the number of years since 1970. During which year was the average

cost of a new car $12,000?

Answer:

[tex]x + 5 = 8[/tex]

Step-by-step explanation:

Given

[tex]Total = 8[/tex]

[tex]Additional\ Vacation = 5[/tex]

Required

Determine the equation to find initial days of vacation

This is represented with x.

To get a total of 8 days vacation, we must have the following expression.

[tex]Initial\ Days + Additional\ Days = Total[/tex]

Substitute values for initial days, additional days and total. So, we have

[tex]x + 5 = 8[/tex]

Hence, the required expression is: [tex]x + 5 = 8[/tex]

Answer:

6272800000

Step-by-step explanation:

Use long multiplication to evaluate.

Answer:

Brand A costs approximately $0.21 per ounce

Brand B costs approximately $0.18 per ounce

Step-by-step explanation:

the rate can be regarded as the change in one entity with respect to the other

From the question, we know brand A

$ 2.55 for 12 ounces of juice, to Know the cost of single once of the juice is

($ 2.55/12ounce)

=$ 0.2125

But the conversation rate for dollar to cent is (1 dollar = 100 cents)

Then to convert $ 0.2125 to cent, we can say

1 dollar = 100 cents

$ 0.2125 =X cent , if we cross multiply we have

= 21.25 cents

Which is approximately 21 cents.

From the question, Brand B cost $ 1.45 for 8 ounces of juice.

to Know the cost of single once of the juice is ( $ 1.45/8 ounce)

=$ 0.18125

We can convert to cent like we did above

1 dollar = 100 cents

$ 0.18125 =X cents, if we cross multiply, we have

= 18.125 cents

which is approximately: 18 cents

Therefore, the true statement about the unit rate are"Brand A costs approximately $0.21 per ounce

Brand B costs approximately $0.18 per ounce"

Answer:

First Row: Given

Second Row: Definition of Regular Polygon

Third Row: Definition of Congruence In Terms of Rigid Motion

Fourth Row: Definition of Regular Polygon

Fifth Row: SAS Triangle Congruence Theorem

Sixth Row: CPCTC

Step-by-step explanation:

This is a basic proof in order to prove that verticals of a polygon are congruent. This should be the right answer since it's the only thing that makes sense to me. I really hope this helps you and thanks for being patient! I've been doing geometry and we have to prove everything we claim in a proof just like this one. However, there was one I kind of guessed on (the third row), but I think it should be correct! I saw from the photo that you have a check answer on the bottom of your screen. Just check the answers that I have for you now and if something is wrong, then we can continue talking about it! Hope this helps!! :)

Answer:

x = 18

Step-by-step explanation:

add 118 to both sides

12x = 216

divide by 12

x = 18

Answer:

g(7)=68

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

10(7)-2

70-2

68

Answer:

5/16

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Let's say r is the number of male puppies.

n = 5, r = 2, p = 0.5, and q = 0.5.

P = ₅C₂ (0.5)² (0.5)³

P = 5/16

The probability of getting two males and three females, assuming an even chance for  each gender is [tex]\frac{5}{16}[/tex].

Given that,

Based on the above information, the calculation is as follows:

Here we use binomial probability:

[tex]P = ^nC_r p^r q^{n-r}[/tex]

Here n denotes the number of trials,

r denotes the number of successes,

p denotes the probability of success,

and q denotes the probability of failure (1−p).

Let's us assume the r be the number of male puppies.

Now  

n = 5, r = 2, p = 0.5, and q = 0.5.

So, put the values

So,  

[tex]P = ^5C_2 (0.5)^2 (0.5)^3[/tex]

= [tex]5 \div 16[/tex]

Therefore we can conclude that the probability of getting two males and three females, assuming an even chance for  each gender is [tex]\frac{5}{16}[/tex].

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Answer:

b=5.25

Step-by-step explanation:

Divide both sides. by -6.

-31.5/-6 = 5.25

Answer:

31.01, 180.8, 0.2, 15501

Step-by-step explanation:

Puzzle 1:

The first rule takes out 301

The second rule has to have a 1 in the units place so that takes out 3.1, 3.101, and 30.1

The 3rd rule takes out 1.01, and 1.03

Rule 4, is self explanatory, so it takes out 31.3

and the last rule takes out 31.1 bc there is no hundredths column

That leaves you with 31.01

Puzzle 2:

Rule 1 takes out 18180

Rule 2, self explanatory, takes out 180

Rule 3 takes out numbers less than 18 so 1.81 and 0.18

Rule 4 takes out  18.01, 1800, 188, and 18.8

That leaves you with 180.8

Puzzle 3:

Rule 1 takes out 0.24, 0.5, and 2.02

Rule 2 takes out 0.15

Rule 3 takes out 0.02, 0.01 and 0.1 (bc it just says greater than and not equal to so it takes this one out)

Rule 4 takes out 0.12

That leaves you with 0.2

Puzzle 4:

Rule 1 takes out 45000

Rule 2 takes out 5401, 5444, and 4544

Rule 3 takes out 5454

Rule 4 does not take out any because all the remaining numbers ( 14500, 15501, 14534, and 10500) have 5 hundreds

Rule 5 takes out 14500, 14534, and 10500

That leaves you with 15501

Hope this helped :)

Answer: D Equilateral

Step-by-step explanation: Center of a triangle is a point where lines intersect. There 4 most popular: centroid, circumcenter, orthocenter and incenter.

Altitude or Height of a triangle is a perpendicular line is draw from a vertex to the opposite side. There are 3 heights and they united (or intersect) at a point called Orthocenter

Incenter is a point where the three angle bisectors meet. Angle bisector is a line that divide the angles of the triangle in two equal angles.

Generally, each center is positioned at a different location on the triangle (in one example, the point is located outside the triangle).

However, there is a case in which incenter and orthocenter are coincidental. That case is for a equilateral triangle, a triangle whose angles and sides are the same.

Answer:

x=3

Step-by-step explanation:

took the quiz

Answer:

x=3

Step-by-step explanation:

Answer:

The answer is 14

Step-by-step explanation:

The taxi driver charges $4 per mile so you multiply that by 3 miles because that is what your trying to find. So you get 12 and from their you have to add the $2 fee thus leading to an answer of 14.

Answer:

Yes, it's c.

Step-by-step explanation:

3 to the 0th power is 3x3 zero times. It's zero. 0 to the 26th power is just 0x0 26 times. It's just 3x3 0 times multiplied with 0x0 26 times.

Answer:

11.3

Step-by-step explanation:

Answer:

16641

Step-by-step explanation:

129 x 129=16641

HTH :)

Answer:

18.9271 liters

Step-by-step explanation:

i googled it

Answer:

? that makes no sense

Step-by-step explanation:

Answer:

n × 6 + 17 ≤ 21

Answer:

the answer is 14.1 because it says that ernie lost so it must be addition so it is 14.1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you plug in 3 to both values of x, we would get both side lengths of 8. We know this is an equivalent triangle because the angles are all the same.

Answer:

Step-by-step explanation:

3x -1 = x+5

-2x = -6

x = 3

Answer: z = -36

Step-by-step explanation:

Answer:

Neither

Step-by-step explanation:

None of them have the same angles as triange ABC.

Answer:

Step-by-step explanation:

The equation of line is y = ( 1/4 )x - 1 , where the slope is m = ( 1/4 ) and the graph is plotted

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( 1/4 )x - 1

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 1/4

The y-intercept of the line is b = -1

The graph of the line y = ( 1/4 )x - 1 is plotted

Hence , the equation of line is y = ( 1/4 )x - 1

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Answer:

a = -0.5

Step-by-step explanation:

[tex] \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow

\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5[/tex]

multiply both sides by 2

simplify

subtract 4x from both sides

divide both sides by 17

simplify

Answer:

1/5

Step-by-step explanation:

(5^7*5^5)/5^13 (when multiplying numbers with the same base, add the exponents)

= (5^12)/5^13 (when dividing exponents with the same base, subtract the exponents)

= 1/5^1 (anything to the first power is itself)

= 1/5

Answer:

The Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.

Step-by-step explanation:

First, you have to determine the amount that Jane earned by multiplying the amount she earns per hour for the number of hours she worked:

$7*10=$70

Then, you need to calculate 1.45% of $70:

$70*1.45%=$1.015

According to this, the answer is that the Medicare tax withheld from her paycheck if the tax rate is 1.45% was $1.015.

Answer:

4/15

Step-by-step explanation:

Probability = 6/10 x 4/9 = 4/15

Topic: Probability

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The probability of drawing a white marble on the first draw, followed by a black marble on the second is 4/15.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of drawing a white marble on the first draw, followed by a black marble on the second  = (number of white marbles / total number of marbles) x (number of black marbles / total number of marbles - 1)

6/10 x 4/9 = 24/90 = 4/15

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Answer:

96m/s

Step-by-step explanation:

Given the velocity, v, in ft/s of an object given by the formula v=v0−32t,

Given

V = 39ft/s

t = 2secs

Required.

Initial velocity v0

Substitute the given parameters into the formula

v=v0−32t,

32 = v0-32(2)

v0 = 32+64

v0 = 96m/s

Hence the initial velocity of the object is 96m/s

Answer C

Step-by-step explanation:

C because 4i = 5