A large dump truck uses 1,318 gallons of fuel in one day of work. How many gallons of fuel are needed if the truck works for 5 days?

Answer: 2.214285714, probably B maybe? I'm not sure what D is.

Step-by-step explanation: (14)x + 1 = 32.

Your goal here is to get the x by itself so that you will know how much it is worth.

First step I would take is to subtract 1 from both sides to get rid of the one on the side with the x. What you do on one side is what you must do on the other side.

Now you have (14)x = 31

Next step I would take is divide both sides by 14 so that you can finally get the x by itself.

Now you have 2.214285714, so I would choose whatever answer that is closest to.

Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Answer:

A C E are the correct answers

Answer:

\(P(R\ or\ odd\ Numbered)=5/7\)

Step-by-step explanation:

From the question we are told that:

Number of Red Marble \(n_r=6\)

Number of Blue Marble \(n_b=8\)

Sample size \(n=n_r+n_b\)

\(n=6+8\)

\(n=14\)

And

No of red or Odd numbered \(x= 6+4 = 10\)

Generally the equation for  probability the marble is red or odd numbered. is mathematically given by

\(P(R or odd Numbered)=x/n\)

\(P(R or odd Numbered)=10/14\)

\(P(R\ or\ odd\ Numbered)=5/7\)

Answer:

6 mintutes per mile

Step-by-step explanation:

find how many minutes are in 2 hours which is 120 then divide that by 20 to get a total of 6

Answer:

8/15 in fraction form

0.53 repeating in decimal form

Step-by-step explanation:

1/3 divided by 5/8 =

1/3 *8/5 =

1*8 over 3*5 = 8/15

Answer:  8/15

0.5333 continued

Step-by-step explanation:

1/3=0.333 continued

5/8=0.625

0.333 continued/0.625=0.5333 continued

or 0.5333 continued

Answer:

I forget about these theorems and such, but pretty sure this is the Hypotenuse - Leg congruence theorem.

Step-by-step explanation:

As the name infers, you need the length hypotenuse and the length of one leg of each triangle. This is because you can use Pythagorean to find the last side, turning it into SSS congruence theorem. You also need them both to be right triangles for pythag to work.

Answer:what 2 triangles

Step-by-step explanation:Happy new year btw

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Step-by-step explanation:

Speed = Distance÷Time

so

502.3÷125.803= 3.99275057

Answer:

0.1190

Step-by-step explanation:

If z = -1.18, the total area to the left under the standard normal curve is taken from the z-distribution table attached;

P(z < - 1.18) = 0.1190

Also, to the right of z = 1.18, we have;

P(z > 1.18) = 1 - P(z < 1.18)

From the second image attached from z-table, we have;

P(z > 1.18) = 1 - 0.8810

P(z > 1.18) = 0.1190

Thus, the total area to the left of z= - 1.18 and to the right of z= 1.18 under the standard normal curve is 0.1190

Answer:

y = 12x + 51

Step-by-step explanation:

y = mx + b, where m is the slope and b is the y-intercept

The equation of line with a slop of m = 12

y = 12x + b

Since the point (-4,3) is on the line, it will satisfy the equation 3 = 12 (-4) +b

b = 3 - 12(-4)

b = 51

y = 12x + 51

Answer: Ad Hominum

Step-by-step explanation:

It just attacks the person.

Answer:

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Step-by-step explanation:

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Answer:

y=1/5x+4

Step-by-step explanation:

Answer: 176

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since they are adjacent the sum of the angles must equal 180 degrees.

17x+4+2x+5=180

19x+9=180

19x=171

x=9 making 17x+4=17(9)+4=157 degrees and 2x+5=2(9)+5=23 degrees

So the two angles are 23 and 157

Answer: true

Step-by-step explanation:

Answer:

3x+2

Step-by-step explanation:

5x+3-2x-1

5x-2x+3-1

3x+2

Answer:

A function is an expression in terms of a variable, usually x. Hence, that is not a function.

Step-by-step explanation:

What you have there are four sets of coordinates.

Answer:

no

Step-by-step explanation:

(1,5) (2,5) (1,-5) (2,-5)

This is not a function

To be a function each x must only go to one y

x=1 goes to both 5 and -5

x=2 goes to both 5 and -5

It is not a function

Answer: 5

Step-by-step explanation: These two triangles are similar triangles. Since they are similar, they must be scaled equivalently. The scale factor is 5. To know this, 3 times 5 is 15, and being equivalent, we can figure 5 times 5 is 25. Therefore x is 5. That also means that the scale factor of the smallest triangle to the biggest triangle is 5. Thus, x is 5.

The third piece length is 0.81m

Step-by-step explanation:

Main length=5m

First length=2.34m

second length=1.85m

Third length=?

3rd length= main length-( 1st length + 2nd length)

=5m-(2.34m+1.85m)

=5m-4.19m

=0.81m

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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The question is incomplete. Here is the complete question.

ABO blood type is examined in a Taiwanese population, nad the allele frequencies are determined. In the population, f(IA)=0.3, f(IB)=0.15 and f(i)=0.55.

Part A: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAIA? Enter your answer to two decimal places.

Part B: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IBIB? Enter your answer to four decimal places.

Part C: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAIB? Enter your answer to two decimal places.

Part D: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IAi? Enter your answer to two decimal places.

Part E: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype IBi? Enter your answer to three decimal places.

Part F: Assuming Hardy-Weinberg conditions apply, what is the frequency of genotype ii? Enter your answer to four decimal places.

Part G: What is the frequency of type A blood in this population? Enter your answer to two decimal places.

Part H: What is the frequency of type B blood in this population? Enter your answer to four decimal places.

Part I: What is the frequency of type AB blood in this population? Enter your answer to two decimal places.

Part J: What is the frequency of type O blood in this population? Enter your answer to four decimal places.

Answer: Part A: f(IAIA) = 0.09

              Part B: f(IBIB) = 0.0225

              Part C: f(IAIB) = 0.05

              Part D: f(IAi) = 0.16

              Part E: f(IBi) = 0.082

              Part F: f(ii) = 0.3025

              Part G: f(type A) = 0.25

              Part H: f(type B) = 0.1050

              Part I: f(type AB) = 0.05

              Part J: f(type O) = 0.3025

Step-by-step explanation: A population in Hardy-Weinberg equilibrium is a population with a constant value in the population's allele frequency.

In the population of Taiwan, frequencies are:

A: Frequency for genotype IAIA: Frequency of allele A is 0.3, then for genotype IAIA:

f(IAIA) = 0.3²

f(IAIA) = 0.09

B: Frequency of allele B is 0.15. Then, for genotype IBIB:

f(IBIB) = 0.15²

f(IBIB) = 0.0225

C: Frequency for genotype IAIB:

f(IAIB) = 0.3*0.15

f(IAIB) = 0.05

D: Frequency for genotype IAi:

f(IAi) = 0.3*0.55

f(IAi) = 0.16

E: frequency for genotype IBi:

f(IBi) = 0.15*0.55

f(IBi) = 0.082

F: frequency for allele i is 0.55. Then, for genotype ii:

f(ii) = 0.55²

f(ii) = 0.3025

Individuals with type A blood can be IAIA or IAi. Using probability's "OR" rule:

f(type A) = 0.09 + 0.165

f(type A) = 0.25

The same happens to individual with type B blood:

f(type B) = 0.0225 + 0.0825

f(type B) = 0.105

Since blood type is a codominance, i.e., allele A and allele B are expressed, frequency of type AB is equal to frequency of genotype AB:

f(type AB) = 0.3*0.15

f(type AB) = 0.05

Frequency for type O is:

f(type O) = 0.55²

f(type O) = 0.3025

Answer:

5(3y^2+4y-5)

Step-by-step explanation:

You do this by finding the common factor and working it out so it works when you multiply to get back to the standard equation.

The area of the sector in the circle shown above is given as follows:

32.3 in².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it is given as follows:

r = 10 in.

Then the area of the entire circle is given as follows:

A = π x 10²

A = 314 in².

The entire circumference of the circle is of 360º, while the angle is of 37º, hence the area of the sector is given as follows:

37/360 x 314 = 32.3 in².

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