Ariana drove her car 260 miles in 8 hours. Write this rate as a reduced fraction.

Answer:

0.709765 liters

Step-by-step explanation:

Answer:

The value of b is 6 and the value of c is also 6

Step-by-step explanation:

We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.

So,

ΔUWV≅ΔEDF

Then

WV ≅ DF

WU ≅ DE

UV ≅ EF

So,

Putting their respective value equal:

WV = DF

[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]

Hence,

The value of b is 6 and the value of c is also 6

Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =[tex]\mu = 500[/tex]

Standard deviation = [tex]\sigma = 100[/tex]

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

At x = 450

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as what is required of the question is not stated.

However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.

Represent the distance from Atlanta to Colleyville with AC

Represent the distance from Atlanta to Bayville with AB

Represent the distance from Bayville to Colleyville with BC

So, we have that:

[tex]AC = 25.5\ miles[/tex]

[tex]AB = 10\frac{2}{3}\ miles[/tex]

The relationship between AB, AC and BC is:

[tex]AC = AB + BC[/tex]

Make BC the subject of formula:

[tex]BC = AC - AB[/tex]

[tex]BC = 25.5 - 10\frac{2}{3}[/tex]

Convert fraction to decimal

[tex]BC = 25.5 - 10.7[/tex]

[tex]BC = 14.8[/tex]

Hence, the distance from Bayville to Colleyville is 14.8 miles

Answer:

Since this graph is continuing, y must be any real number. So, d.

Answer:

Correct I think

Step-by-step explanation:

9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

Answer:

B. The answer is 2 cups.

Answer:

(-3,0)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

If 74% is paid by Hilton, then Sierra pays 26% of $8245 per year. Her annual share is ...

  0.26 × $8245 = $2143.70 . . . Sierra's share

__

Then the deduction in each of her 24 pay periods is ...

  $2143.70/24 = $89.32 . . . per pay period

Answer: f=-2

Step-by-step explanation:

math

Answer:

f < -2

Step-by-step explanation:

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

Answer:

-36

Step-by-step explanation:

x / (-3) = 12

x = 12*(-3)

x = -36

Answer:

An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.

Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.

Answer:

-24

Step-by-step explanation:

Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.

Answer:

[tex]y = -\frac{2}{3}x - 7[/tex]

Step-by-step explanation:

Given

[tex]Point = (6,-11)[/tex]

[tex]Equation: y = -\frac{2}{3}x + 12[/tex]

Required

Determine the equation of the point

First, we need to determine the slope of the point.

Since the point is parallel to the given equation, then they have the same  slope (m).

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = -\frac{2}{3}[/tex]

The equation of the point in slope intercept point is:

[tex]y -y_1 = m(x-x_1)[/tex]

Where

[tex]m = -\frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,-11)[/tex]

Substitute these values in the equation:

[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]

[tex]y +11 = -\frac{2}{3}x + 4[/tex]

Subtract 11 from both sides

[tex]y = -\frac{2}{3}x + 4-11[/tex]

[tex]y = -\frac{2}{3}x - 7[/tex]

Answer:

0.3

Step-by-step explanation:

Let x be what you need to subtract

I hope this helps!

Answer:

3/10

Step-by-step explanation:

83/10 - 3/10 = 80/10 = 8

Answer:

156 snack foods.

Step-by-step explanation:

205 - 174 = 31

To find 90% of 174, multiply 174 by 0.90.

174 x 0.90 = 156

The answer is 156 snack foods.

Answer c I think

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Divide the denominator in half

10/2 = 5

4 is close to 5 so 4/10 is close to 1/2

Answer:

4/10 is closer to 1/2.

Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.

Further explanation:

If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!

Half (1/2) is the answer.

Answer:

7+(−2) = 7 − 2 = 5

Step-by-step explanation:

Answer:

The Positive number has to be greater than the negative number you are adding with.

Example(s):

-30 + 35 = 5

-65 + 70 = 5

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[tex]5x + 2y = 19[/tex]

Subtract sides 5x

[tex] - 5x + 5x + 2y = - 5x + 19[/tex]

[tex]2y = - 5x + 19[/tex]

Divide sides by 2

[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]

[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]

[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]

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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 5x + 2y = 19. The value of y will be calculated as:-

5x + 2y = 19

2y = 19 - 5x

y = ( 19 / 2 ) - ( 5x / 2 )

Therefore,  the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).

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Answer:

It is same as the length of YX =8 inches so the length of VW=8 inches

Answer:

Length = [tex]5\ \text{ft}[/tex]

Breadth = [tex]5\ \text{ft}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the length of the garden

and [tex]y[/tex] be the width of the garden

From the details of the cost in the question we get

[tex]20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x[/tex]

Now area of the garden is

[tex]A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2[/tex]

Differentiating with respect to x we get

[tex]\dfrac{dA}{dx}=10-2x[/tex]

Equating with 0

[tex]0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5[/tex]

Double derivative of the area is

[tex]\dfrac{d^2A}{dx^2}=-2<0[/tex]

So, area is maximum at [tex]x=5[/tex]

[tex]y=10-x=10-5\\\Rightarrow y=5[/tex]

So, the length and breadth of the rectangle is [tex]5\ \text{ft}[/tex].

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

Answer:

each side is 12 cm

Step-by-step explanation:

This is a simple equation, since a square is equal an all 4 sides, all you have to do it divide 72 by 4 to get your answer.

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Answer:37.5

Step-by-step explanation:

The work a crew will pave in an hour will be 8/5 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,

1 / 8 hours ⇒ 1 / 5 miles

1 hour ⇒ 8 x (1 / 5 ) miles

1 hour ⇒ 8 / 5 miles

Therefore, the work a crew will pave in an hour will be 8/5 miles.

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