a car can travel 476 miles on 14 gallons of gas. write an equation relating the distance to the number of gallons. how many gallons of gas does this car need to travel 578 miles .
6A. what is the equation?
6B. how many gallons of gas does this car need to travel 578 miles?

Answer:

4 over 3

Step-by-step explanation:

this is beause you add the numertior and not the divend

Answer:

4/3 or 1 1/3 or 1.333 repeating

Step-by-step explanation:

Since 2/3 + 2/3 has the same denominator you can just add the top numerators together and keep the same denominator.

Answer:

0.2937 ;

0.292 ;

0.275, 0.314, 0.295, 0.296, 0.276, 0.289

Step-by-step explanation:

0.275 0.319 0.314 0.280 0.288 0.314 0.295 0.296 0.317 0.276 0.274 0.289 0.295 0.276 0.275 0.296 0.311 0.289 0.283 0.312

Reordered data :

0.274, 0.275, 0.275, 0.276, 0.276, 0.280, 0.283, 0.288, 0.289, 0.289, 0.295, 0.295, 0.296, 0.296, 0.311, 0.312, 0.314, 0.314, 0.317, 0.319

The mean : ΣX / n ; n = sample size, = 20

Mean = 5.874 / 20 = 0.2937

The median : 1/2(n+1)th term

Median = 1/2(21)th term = 10.5 th term

Median = (10th + 11th) terms / 2

Median = (0.289+0.295) / 2 = 0.292

The mode = 0.275, 0.314, 0.295, 0.296, 0.276, 0.289 (values with ten highest number of occurence.)

Answer:

A

Step-by-step explanation:

An exponential function has the form

y = a\((b)^{x}\)

Use the given solutions to find a and b

Using (0, 3 ) , then

3 = a\(b^{0}\) [ \(b^{0}\) = 1 ] , so

a = 3

y = 3\((b)^{x}\)

Using (1, 12 ) , then

12 = 3\(b^{1}\) = 3b ( divide both sides by 3 )

4 = b , then

h(x) = 3\((4)^{x}\) → A

Answer:

3.6 Units

Explanation:

Given points X(4, 2) and Y(7,4), to determine the distance between X and Y we use the distance formula below:

Substituting these points into the distance formula, we have:

The distance between X and Y is 3.6 Units.

Answer:

0 4 = 0 x 9

Step-by-step explanation:

Anything times 0 is 0 so they both equal 0

Answer:

=

Step-by-step explanation:

=, because 0 x 4 equals 0, and 0 x 9 equals 0. And 0 = 0. Hope this helped!

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

BBBB

Step-by-step explanation:

Log(x²+8)=log 10+ log x

Log(x²+8)=log(10×x)

x²+8=10x

x² - 10x + 8=0

x is approximately to - 1 and - 8✅

The solutions to the given equation are x = -1 and x = 8.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

Using logarithmic properties, we can simplify the given equation:

logs(x² + 8) = 1 + log g(x)

logs(x² + 8) - log g(x) = 1

log[(x² + 8)/g(x)] = 1

(x² + 8)/g(x) = 10

x² + 8 = 10g(x)

Now we can solve for x by substituting the given answer options and solving for g(x):

For x = -2 and x = -4:

x = -2:

(-2)² + 8 = 12, which is not equal to 10 g(x) for any value of g(x).

So x = -2 is not a solution.

x = -4:

(-4)² + 8 = 24, which is also not equal to 10g(x) for any value of g(x).

So x = -4 is not a solution.

For x = -1 and x = 8:

x = -1:

(-1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = -1 is a solution.

x = 8:

(8)² + 8 = 72, which is equal to 10g(x) when g(x) = 7.2.

So x = 8 is a solution.

For x = 1 and x = -8:

x = 1:

(1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = 1 is a solution.

x = -8:

(-8)² + 8 = 56, which is not equal to 10g(x) for any value of g(x).

So x = -8 is not a solution.

Therefore,

The solutions to the given equation are x = -1 and x = 8.

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

Pie in a non math sense is usually a dessert but there are some main course pies.

Step-by-step explanation:

there are different types of pie chocolate, pumpkin, lemon, key lime, cherry, .... an so forth

for the main course pies there is shepherd pie and others.

in a math sense though it's 3.141592653589793238884197169339937510582640628620899862803484808651328230664709372535940812848111745..... ( I have the song stuck in my head)

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

51.34°

Step-by-step explanation:

tan(x)  = opposite/adjacent

tan(x) = 10/8

tan(x) = 1.25

Using an online calculator, the determined angle is 51.34°

Answer:  51.34°

Step-by-step explanation:

It is given that the length of perpendicular = 10cm
                              Length of base = 8cm

Now we know that:

tan x = \(\frac{Perpendicular}{Base}\)

\(tan x = \frac{10}{8}\)     ⇒   \(tan x = \frac{5}{4}\)   ⇒  \(tan x = 1.25\)

⇒   \(x = tan^-1 (1.25)\)        ⇒\(x = 51.34\)°

Therefore the value of x is 51.34°

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Answer:

0.2

Step-by-step explanation:

14/10÷x=7

14/10=7x

1.4±7=x

x=0.2

The value of the variable 'w' for the given equation 7 ( w + 7 )³ = 7(6³)  is equal to w = -1.

As given in the question,

Given equation is equal to :

7 ( w + 7 )³ = 7(6³)

Divide both the side of the equation by 7 we get,

⇒ 7 ( w + 7 )³ / 7 = 7(6³) /7

⇒( w + 7 )³ = (6³)  

Take cube root both the side of the equation we get,

⇒∛( w + 7 )³ = ∛(6³)  

⇒ w + 7 = 6

Now subtract 7 from both the side of the equation we get,

⇒w + 7 - 7 = 6 - 7

⇒ w = -1

Therefore, the value of the variable 'w' for the given equation is equal to w = -1.

The complete question is:

Solve this equation:

7 ( w + 7 )³ = 7(6³)

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Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w)

In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:

P = 2(l + w) = 2(12 + 10) = 44.

44 feet will be needed to go all the way around the room.

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The unit rate for 4543.08 km in 52.4 hours is 86.7 km.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

4543.08 km = 52.4 hours

Divide 52.4 into both sides.

86.7 km = 1 hour

Thus,

The unit rate is 86.7 km.

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A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.

The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.

Therefore, option B is the correct answer.

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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.

The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.

Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

The total revenue can be calculated as "2.50a" dollars.

What is the dozen?

A dozen is a grouping of twelve objects, shapes, or numbers. It is abbreviated as doz or dz. Dozen is one of the most primitive customary units of numbers. The number system with the base number 12 is called duodecimal or dozenal.

In this scenario, Adam is selling pencils in dozens and the price he charges for each dozen is $2.50.

To calculate the total revenue, we need to multiply the number of dozens sold (represented by "a") with the price per dozen ($2.50).

The expression "2.50a" represents this calculation, where "a" represents the number of dozens sold and "2.50" represents the price per dozen.

Hence, the total revenue can be calculated as "2.50a" dollars.

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Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

The measure of ∠A in the triangle is 70 degrees.

A triangle is a polygon with three sides. The sum of angle in a triangle is 180 degrees.

Therefore, let's find the measure of angle x in the triangle as follows:

Using exterior angle theorem,

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

8x - 10 + 5x + 3 = 123

13x - 7 = 123

13x = 123 + 7

13x = 130

x = 130 / 13

x = 10

Therefore,

∠A = 8(10) - 10

∠A = 80 - 10

∠A = 70 degrees

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Answer:

x=5

Step-by-step explanation:

Answer:

1x+2=8+-1​

1+2=7

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

x + 2-2=7-2

x=5

Explanation:

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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Answer: 104

Step-by-step explanation:

100 x 1.01^4 = 104.060401

                    = 104 (rounded)

The average number of people attending local baseball games in 2022 when this trend continues is,

⇒ 146

Ratio or numbers which can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Calculate the percent of a number , We can divide the number by whole number and multiply by 100.

Given that;

Here, For the last few years, Attendance for local baseball games is increasing by an average of 10% per year.

And, In 2018, the average attendance was 100 people.

Hence, After 4 years, Average number of people attending local baseball games in 2022 when this trend continues is,

⇒ 100 (1 + 0.1)⁴

⇒ 100 × ( 1.1 )⁴

⇒ 100 × 1.46

⇒ 146

Therefore, the average number of people attending local baseball games in 2022 when this trend continues, 146.

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Answer:on the given cushion. We want to represent cost like 30 in terms of cost. Rita. Now by the identity sector tragical toe one by scientists. Now we know that science can't theta plus Costco Arteta is equal to one. So they get signed. Tetteh is equal to plus minus quite a tough one. Minus cause squared theta. So this will be a photo one by plus minus square wrote off one minus y squared theta.

Step-by-step explanation:

Answer:

None will .

Step-by-step explanation:

103 × 0.43 = 44.29

101 × 0.43 = 43.43

104 × 0.43 = 44.72

102 × 0.43 = 48.86

Answer:

2/3/5

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!

Answer:

prime factors of 30: 2, 3, 5

Step-by-step explanation:

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!