The train to San Fernando travels 120 miles per hour. How long will or trip take if San Fernando is 750 miles away? A. 6 hours 15 minutes B. 6 hours C. 5 hours 30 minutes D. 5 hours 15 minutes

Step-by-step explanation:

since maxima is a point in which a function within a range gives maximum value. And its value is called maximum value of the function over an interval.

Answer:

1. 8/35

2. 13/35

Explanation:

You add the numbers in the parentheses first, then you multiply

1. 1/5 + 3/5 = 4/5

4/5 * 2/7 = 8/35

———————————

2. 1/5 + 3/5 * 2/7

You would multiply 3/5 and 2/7 first

1/5 + 6/35

Then you find a common denominator

1/5 = 7/35

Then you add 7/35 and 6/35

7/35 + 6/35 = 13/35

Answer: 1. 8/35      2. 11/35

Step-by-step explanation:

1.  If the first expression you have to solve the parentheses first the multiply is by 2/7  

so [tex]\frac{1}{5} + \frac{3}{5}[/tex]   = 4/5

[tex]\frac{4}{5} * \frac{2}{7}[/tex] = [tex]\frac{8}{35}[/tex]    

2.  You have to multiply first before you add in the second one using the rules of pemdas.

3/5 * 2/7 = 6 / 35

Now add 6/35 and 1/5

[tex]\frac{1}{5} + \frac{6}{35}[/tex]  To add them they have to have the same denominators so we will multiply 5 by 7 to get 35 and  the same as the top one.

[tex]\frac{7}{35} +\frac{6}{35}[/tex] = 13/35  

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

We know that this is an isosceles triangle from the given information. We are also given that its height, or altitude, is 8. The height/altitude to the base of an isosceles triangle is also the median to the base. A median is a line segment that bisects another line segment, or splits it into two equal parts. Therefore, we know that the vertical line segment in the diagram splits the base into two equal parts, each measuring [tex]\frac{x}{2}[/tex] units.

Now, we know that the altitude of a line segment is perpendicular to it, or forms a [tex]90[/tex]° angle with it. Therefore, the vertical segment divides the larger isosceles triangle into 2 congruent right triangles with legs of 8 and [tex]\frac{x}{2}[/tex] and hypotenuse of [tex]\sqrt{80}[/tex]. We can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex] where [tex]a[/tex] and [tex]b[/tex] are the legs and [tex]c[/tex] is the hypotenuse of the right triangle) to solve for [tex]x[/tex]. Substituting the values for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into the Pythagorean Theorem equation, we get:

[tex]a^{2} +b^{2}=c^{2}[/tex]

[tex](\frac{x}{2})^{2} +8^{2}=(\sqrt{80})^{2}[/tex] (Substitute values for [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex])

[tex]\frac{x^{2} }{4}+64=80[/tex] (Simplify)

[tex]\frac{x^{2} }{4}+64-64=80-64[/tex] (Subtract 64 from both sides)

[tex]\frac{x^{2} }{4} =16[/tex] (Simplify)

[tex]\frac{x^{2} }{4}*4=16*4[/tex] (Multiply both sides of the equation by 4)

[tex]x^{2} =64[/tex] (Simplify)

[tex]\sqrt{x^{2} }=\sqrt{64}[/tex] (Take the square root of both sides of the equation)

[tex]x=8,x=-8[/tex] (Simplify)

[tex]x=-8[/tex] is an extraneous solution because a triangle cannot have negative side lengths. Thus, our final answer is [tex]x=8[/tex]. Hope this helps!

Answer:

61.

Step-by-step explanation:

because 100-39=61 and 61+39=100!

Answer:

x = 1

Step-by-step explanation:

Given

3(x - 2) + 2 = 5(x - 3) + 9 ← distribute and simplify both sides

3x - 6 + 2 = 5x - 15 + 9

3x - 4 = 5x - 6 ( subtract 5x from both sides )

- 2x - 4 = - 6 ( add 4 to both sides )

- 2x = - 2 ( divide both sides by - 2 )

x = 1

Answer:

[tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Step-by-step explanation:

We are given that in 1995, the USPS approximated that they handled  [tex]1.8 \times 10^{11}[/tex] pieces of mail and in 2010, the USPS reported that they handled [tex]1.7 \times 10^{11}[/tex]  pieces.

To find how many more pieces of mail were handled in 1995 than in 2010, we do subtraction of the pieces of mail that were handled in both the years.

Pieces of mail handled in 1995 = [tex]1.8 \times 10^{11}[/tex]

Pieces of mail handled in 2010 = [tex]1.7 \times 10^{11}[/tex]  

As it is clear that more pieces of mail were handled in 1995.

So, Pieces of mail handled in 1995 - Pieces of mail handled in 2010 = [tex](1.8 \times 10^{11}) -(1.7 \times 10^{11})[/tex]

=  [tex]10^{11} \times (1.8 -1.7)[/tex]

=  [tex]10^{11} \times 0.1[/tex] = [tex]1 \times 10^{10}[/tex]

Hence, [tex]1 \times 10^{10}[/tex] more pieces of mail were handled in 1995 than in 2010.

Answer:

2/3

Step-by-step explanation:

4/9+2/9=6/9

then you have to reduce/simply your answer more from 6/9

divide each number by 3 and that with give you your answer 2/3.

6÷3=2 and 9÷3=3

Adding fractions with same denominator

The value of expression 4/9 + 2/9 would be equal to 2/3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given an expression as;

4/9 + 2/9

Here we need to add the two fractions.

The denominator of the given fraction must be same to add the terms.

4/9 + 2/9

So,(4 + 2)/9

6/9

Now simplify;

6/9 = 2/3

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:  (c) g(x) = |x - 2|

Step-by-step explanation:

Consider h(x) = |x - h| + k

f(x) = |x|

g(x) = |x - (+2)|

                ↓

              positive means to the right

simplify: g(x) = |x - 2|

Answer:

y=25/6

Step-by-step explanation:

We can set up a proportion!

We know that y/x=y/x because they vary directly.

So, we have 5/6=y/5. We need to solve for y.

We cross multiply and get:

6y=25

y=25/6

When x equals 5, y will equal 25/6.

Hope this helps

Answer:

46656

Step-by-step explanation:

6*6*6*6*6*6*6 = 6x

Multiply the terms.

279936 = 6x

Divide 6 into both sides.

279936/6 = 6x/6

= 46656

The solution of x for the expression 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ is,

⇒ x = 7

We have to given that,

An expression to solve,

⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ

We can write above expression into power as,

⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ

Since, 6 repeats seven times.

⇒ 6⁷ = 6ˣ

By comparing, we get;

⇒ 7 = x

⇒ x = 7

Therefore, The solution of x for the expression 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ is,

⇒ x = 7

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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Answer:

Step-by-step explanation:

If Ellen mixed [tex]\frac{1}{4}[/tex]kg of flour with [tex]\frac{2}{9} kg[/tex] of sugar together, the reasonable estimate for the amount of flour and sugar combined can be gotten by taking the sum  of both masses of ingredients as shown;

Mass of flour = [tex]\frac{1}{4}kg\\[/tex]

MAss of sugar = [tex]\frac{2}{9} kg[/tex]

Combined masses = [tex]\frac{1}{4}+\frac{2}{9}[/tex]

[tex]= \frac{9+8}{36} \\= \frac{17}{36}kg[/tex]

The amount of flour and sugar combined is 17/36 kg

Answer:

Either £16 or £26.32 depending on what you meant in the question

Step-by-step explanation:

I'm going to answer the question in 2 ways, since I'm not sure if you mean £14 or 14%

If its £14, then the original price is 30-14 = £16

If its 14% then that means after the increase, the shirt will be 100%+14% of the original price or 114% of the original price.

This means that

£30 = 114%

To make it easier, reduce the 114% to 1 %

1% = 30/114

1% = £0.26316

100% = £26.32 (rounded to 2 decimal places)

Therefore the original price was £26.32

Step-by-step explanation:

x5 - 4x + 7x3 + 8 + 9x3 + 7x2 - 10 - 2x5 + 7x4 - 3x + 8

Arranging

x5 - 2x5 + 7x4 + 7x3 + 9x3 + 7x2 - 4x - 3x + 8 - 10 +8

-1 + 7x4 + 16x3 + 7x2 - 7x + 6

7x4 + 16x3 + 7x2 - 7x + 5

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i just took the test

Answer:

42°

Step-by-step explanation:

given OA and OC are perpendicular, the angle between the lines are 90°

this means that ∠AOB and ∠BOC add up to 90°, i.e.

(6x-6) + (5x+8) = 90

6x-6 + 5x+8 = 90

11x - 6 +8 = 90

11x + 2 = 90 (subtract 2 from both sides)

11x = 90- 2

11x = 88 (divide both sides by 11)

x = 8  

Hence, m∠BOC

= 6x - 6

= 6(8) - 6

= 48 - 6

= 42°

Answer:

11

Step-by-step explanation:

3x = 33

x = 33/3

x = 11

Answer:

The number is 11

Step-by-step explanation:

Product means multiply, is means equals

3 * n = 33

Divide each side by 3

3n/3 = 33/3

n = 11

Answer:4

Step-by-step explanation:

Answer:

2,330.950

Step-by-step explanation:

Like I said before, I usually use my fingers.

But, I usually would do a sheet of paper and pencil in my head.

I then would try to sole it.

So I multiply 87.4 x 26.67.

I think it would be around 2,330.950.

I hope this helped.

Answer:

Step-by-step explanation:

I would try and divide them to help me solve it first and get 2330.950

Answer:

true it's A....

Answer:

A

Step-by-step explanation:

64x³ + 125

∛(64x³ + 125)

= 4x + 5

The expression is a sum of cubes.

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

the answer is -6, 2

Step-by-step explanation:

Answer:

ANSWER

x =  { - 20}{7}

y={ 4}{7}

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2x - 5 = 3

2x = 8

x = 4

4

Answer:

k

Step-by-step explanation:

Answer:

351.54

Step-by-step explanation:

The length of the training track = 80m plus 80m + circumference of a circle

Circumference:

Pi x d = 3.14 x 61 = 191.54

Next 80 + 80 = 160.

The running tracks whole length = the sum of these 2 newly found values = 351.54

Hope this helps

Answer:

28.29 cm

Step-by-step explanation:

The formula for the cylinder is πr²h.

180000 = π(45)²h

180000 = 6361.725124h

h = 28.294212

The height is 28.29 cm.

Answer: C. 13 meters

Step-by-step explanation:

5^2+12^2=x^2

25+144=x^2

169=x^2

√169=13

13=x

Hope it helps

Answer:

C. 13 meters

Step by step:

5^2+12^2=x^2

25+144=x^2

169=x^2

√169=13

13=x

Answer:

%∆C = 249.22%

the percentage increase in the cost of his car insurance is 249.22%

Step-by-step explanation:

Given;

Cost of car insurance last year C1 = £256

Cost of car insurance this year C2 = £894

Percentage increase = change in cost/initial cost × 100%

%∆C = ∆C/C1 × 100%

%∆C = (C2-C1)/C1 × 100%

Substituting the given values;

%∆C = (894-256)/256 × 100%

%∆C = 249.21875%

%∆C = 249.22%

the percentage increase in the cost of his car insurance is 249.22%

Answer:

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

Answer:

1.) Kindly check attached picture for possibility diagram

(2)

1) 0.125 2)0.963 3.)0.234 4.)0.625 5.)0.656

Step-by-step explanation:

Probability = required outcome / Total possible outcomes

1) P(product is a prime number)

Appearance of prime numbers = 8 times

P(product is a prime number) = 8/64 = 0.125

2.) P(not a perfect square) = 1 - p(perfect square)

1 - (12/64) = 52/54 = 0.963

3.) P(a multiple of 5) = 15/64 = 0.234

4.)P(less than or equal to 21) = 40/64 = 0.625

5.)P(divisible by 4 or 6) = 42/64 = 0.656