Which of the following statements is true?

a.
b.
c.
d.

The tank of the car that holds 19 gallons and has 2/5 full has still in it 7.5 gallons

Information about the problem:

To solve this problem, we have to state the equation using the information of the problem:

Gallons available= tank capacity* gasoline gauge

Gallons available= 19 gallons * 2/5

Gallons available= 38 gallons/5

Gallons available= 7.5 gallons

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

1/5 = slope of line

Step-by-step explanation:

Here, slope = rise/run = (larger y value) - (smaller y-value)/(larger x -smaller x)

Here we get slope = rise/run = (3 - 2) (4 - [-1]) = 1/5 = slope of line

Answer:1.75

Step-by-step explanation:

7x+8=3x+15

4x+8=15

4x=7

x=1.75

Answer: 7/8 times 1 1/2 is 21/16 or 1.3125 in decimal

2 3/4 divided by 2/3 is 33/8 or 4.125 in decimal

Answer:

30

Step-by-step explanation:

The two angles are the same size, and adding them together (15+15) equals 30.

The inverse is the false and the Converse is the true.

According to the statement

We have to find that the contra positive, and converse are true.

So, For this purpose, we know that the

A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.

From the given information:

if 3 could be a prime quantity then 5 is a fair number.

Then

a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)

Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)

Converse: If 5 is a good number, then 3 may be a prime quantity. (True).

And

b) if 7 < 5, then 5 < 3

This statement is that the false because the primary statement is that the false.

So, The inverse is the false and the Converse is the true.

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The total Commission Buehrer earns is 1404.3.

Given, Commission on first 3000 sales is 5% and commission on next 6000 sales is 8% and the commission she get when done a sales over 12000 is 10%.

She did a total sales of 19743.

Total Commission = (5% of 3000 )+ (8% of 6000)+(10% of (total sale - 12000))

Total commission = (150)+(480)+(10% of (19743-12000))

Total commission = (150)+(480)+(10% of (7743))

Total commission = (150)+(480)+(774.3)

Total commission =1404.3

Hence Total commission she earns for the sales in the month is 1404.3.

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Two lines are cut by a transversal such that a pair of alternate interior angles are right angles, then the two lines are parallel.

Following are the condition that satisfies to make two lines parallel,

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We're given:

[tex](3f-4g)(t)[/tex] is the same as [tex]3f(t)-4g(t)[/tex]. Now, we can just plug in the functions as if they're variables in an equation.

[tex]3f(t)-4g(t)[/tex]

[tex]= 3(4t-2)-4(2t+2)\\= 12t-6-8t-8\\= 4t-14[/tex]

[tex](3f-4g)(t)= 4t-14[/tex]

The inequality that represents this situation is 57x <= 250

The given parameters are

Minimum savings = $250

Monthly savings = $57

Let the number of months be x

So, we have the following inequality

Monthly savings * x <= Minimum savings

Substitute the known values in the above equation

57 * x <= 250

Evaluate the product

57x <= 250

Hence, the inequality that represents this situation is 57x <= 250

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A) The rearranged formula is:

r = d/t

B) Using the above formula we can see that the rate is 25,000 m/h.

C) Here we have the linear equation:

d = (25,000 m/h)*t

Here we need to use the formula:

distance = rate*time.

To solve this formula for the rate, we need to divide both sides by the time, so we will get:

rate = distance/time.

Writing this with the given variables:

r = d/t.

b) Now we know that the distance is 800,000 meters and the time is 4 hours, then the rate will be:

r = 100,000m/4h = 25,000 m/h

The rate is 25,000 meters per hour.

c) Now we wil get the linear equation:

d = r*t

d = (25,000 m/h)*t

This linear equation gives the distance traveled in a time t.

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Part A:

Rearrange the distance formula, d = rt, to solve for rate. The distance formula is given by d = rt, where d is the distance traveled, r is the rate at which the distance is being traveled, and t is the time taken to travel the distance.
To solve for rate, we can rearrange the formula as follows: d = rt d/t = r [dividing both sides by t] r = d/t

Therefore, the formula for rate is r = d/t.

Part B: Find the falcon's rate in meters per hour. Given that the falcon flies 800,000 meters in 4 hours, we can use the formula for rate to find its speed. r = d/t r = 800,000/4 r = 200,000 meters per hour.

Therefore, the falcon's rate is 200,000 meters per hour.

Part C: Rearrange the distance formula, d = rt, to solve for time. To solve for time, we can rearrange the formula as follows: d = rt t = d/r [dividing both sides by r]

Therefore, the formula for time is t = d/r.

The following weights are listed below:

The sum of the weights of a red circle, a yellow rhombus and a green trapezoid is equal to 35 units.

In this question we find a case of abstract thinking, in which we find a weight system at equilibrium. There are the following variables below:

x - Weight of a red circle.

y - Weight of a purple cross.

r - Weight of an orange star.

u - Weight of a dark blue square.

v - Weight of a yellow rhombus.

w - Weight of a green trapezoid.

z - Weight of a light blue triangle.

And the resulting system of linear equations is:

x + y = 24                                 (1)

y + v = 12                                 (2)

u = 6                                        (3)

2 · r = 6                                    (4)

1.5 · v + 2 · u = 24                    (5)

0.5 · v + w + r + 2 · z = 24       (6)

u = z + 1                                    (7)

By (3):

u = 6

By (4):

r = 3

By (7):

z = 5

And the reduced system of linear equations is:

x + y = 24                                   (1)

y + v = 12                                   (2)

1.5 · v = 12                                  (5)

0.5 · v + w = 11                           (6)

By (5):

v = 8

By (6):

w = 11 - 0.5 · v

w = 11 - 4

w = 7

By (2):

y = 12 - v

y = 12 - 8

y = 4

By (1):

x = 24 - y

x = 24 - 4

x = 20

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Answer:

D. 1,740

Step-by-step explanation:

10 to the 3rd power = 10*10*10=1000

1.74*1000=1740

Answer:

d) 1,740

Explanation:

Given following:

[tex]\rightarrow \sf 1.74 \times 10^3[/tex]

expand

[tex]\rightarrow \sf 1.74 \times 10 \times 10 \times 10[/tex]

multiply

[tex]\rightarrow \sf 1.74 \times 1000[/tex]

simplify by moving the decimal point 3 units to the right

[tex]\rightarrow \sf 1740.0[/tex]

Answer:

The domain is [-∞,∞]

Step-by-step explanation:

[tex]7^0 = 1\\1^x = 1, solve\ for\ x.\\[/tex]

1 raised to any and every power will always equal 1.

Step-by-step explanation:

Given :[tex](1)^{x} =1[/tex]

Given that the base of the exponent is 1 now you should apply the rule that any 1 to the power any number is 1 and that any number to the power of 0 is 1 so that makes us comer to a conclusion that x can be any positive Integer.

therefore the answer is

X∈(+)z

z representing the integer in symbol

hope this helps..!!!!!!

Using the bisection concept, we have that the measure of angle AXB is of 160º.

A bisection of an angle is the formation of a ray that divides the angle into two equal parts.

For this problem, we have that:

Hence the measure of angle AXB is of 160º.

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Answer:

a=11, b=10, c=32, and d=14.

Step-by-step explanation:

Answer:

67 units

Step-by-step explanation:

Perimeter  of a shape is the sum of all sides.

Perimeter = a + b + c + d

                = x +7  + 2x + 2 + 8x + x +10

                = x + 2x + 8x + x  +7 + 2 + 10

Combine like terms,

                 = 12x + 19

Now, substitute x = 4 in the above expression,

                  = 12*4 + 19

                  = 48 + 19

                  = 67

Answer:

this would be c bro trust me I passed this years ago dw it used to confuse me aswell

Step-by-step explanation:

yep

Answer:[tex]f(2) =28[/tex]

Step-by-step explanation:

When it says f(2), it means to plug 2 into the x in the function f(x), so therefore:

[tex]12(2)+4\\\\24+4\\\\28[/tex]

Answer: 1.12x10⁶

Step-by-step explanation:

(14.1x10⁵)-(2.9x10⁵)=

(10⁵)(14.1-2,9)=

(11.2)(10⁵)=

(1.12)(10)(10⁵)=

(1.12)(10⁶)=

1.12x10⁶

Answer:

1.12x10⁶

Step-by-step explanation:

Answer:

1. 27

2. 18

3. 905.400

4. 6.830

Step-by-step explanation:

Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.

1. It is closer to 27.

2. it is closer to 18.

3. It is closer to 905.400

4. It is 6.825 which ends in 5 so it is rounded up.

profit is 20000 and profit percent is 5.79

For the rare case that the outcome of the second derivative matrix examination is inconclusive, higher order derivatives have to be examined.

What do math extrema mean?

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Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

What is Uncertainty?

a) A basket's capacity for eggs:

The measurement that is precise and free from uncertainty is the number of counting objects. Consequently, we are able to precisely count the eggs in a basket.

b) The weight of 12 bananas:

Given that no two bananas are the same size and therefore have different masses, it is uncertain to determine the mass of a dozen bananas. This is true for the computation of the mass of any object.

c) The iron block's mass

Because no two pieces of iron in an iron block are the same size, it is difficult to determine the mass of an iron block.

d) The quantity of gasoline required to fully fill a car's gas tank:

Due to the fact that gasoline is indeed a gas molecule and is volatile, it is difficult to calculate how many gallons are required to fill an automobile's gas tank.

e) There is 5 cm in a meter.

By using the relation, we can precisely calculate how many cm there are in 5 meters. Knowing that 1 m = 100 cm.

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

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By using the trigonometric function of cosine, we conclude that the length of the hypotenuse is approximately equal to 7.2 units.

Right triangles are triangles such that one of its internal angles is a right triangle. Fundamentally, trigonometric functions are relationships between two distinct sides of a right triangle.

The picture show that the length of one leg and the measure of the angle between that leg and the hypotenuse are known, but the length of the hypotenuse does not. By using concepts of trigonometric functions, we can find the length of the hypotenuse by using the cosine function:

cos θ = s / x

cos 33° = 6 / x

x = 6 / cos 33°

x = 6 / 0.839

x ≈ 7.154

The length of the hypotenuse is approximately equal to 7.2 units.

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The submarine's elevation would have changed by -3/2 mile after 4 explorations.

So, to find how many explorations will the submarine's elevation has changed by -1 miles:

Then,

Therefore, the submarine's elevation would have changed by -3/2 mile after 4 explorations.

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The complete question is given below:
The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?

The required value of x in the proportion of the line is 9.

Given that,
B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36

To determine the value of x in the proportion of line.

A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.

Here,
B is the point lies between A and C on line segment AC

So,
AC = AB + BC
AB +  BC = 36
x + 2 + 2x + 7 = 36
3x + 9 = 36
3x = 27
x = 27 / 3
x = 9

Thus, the required value of x in the proportion of the line is 9.

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"The spaces are usually stocked with standard office [26] equipment,

such as photocopiers, printers, and fax machines." Option A: No Change, i.e., no sentence correction is needed.

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

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