The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 72 miles per hour, and the average speed of the car ride was 62 miles per hour. The entire trip lasted 6 hours.
Let x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.

Answers

Answer 1

Answer:

432

Step-by-step explanation:

x=1hr (6x)=6hours x= 72 hours through train so (6x)=72x6=432

Answer 2
The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 72 miles per hour, and the average speed of the car ride was 62 miles per hour. The entire trip lasted 6 hours.
Let x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.
Answer-432

Related Questions

when A = 300, solve the equation
[tex] {x }^{2} - 40x + a = 0[/tex]

Answers

Answer:

Solution given:

a=300

and equation is:

x²-40x+a=0

when a=300

x²-40x+300=0

making it a perfect square

x²-2*20x+20²-20²+300=0

(x+20)²-400+300=0

(x+20)²=100

x+20=±10

taking positive

x+20=10

x=10-20

x=-10

taking negative

x+20=-10

x=-10-20

z=-30

when A=300

x=-10 or -30

Proving the Single Opposite Side Pair Theorem
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
ZDAC
А
Statements
Reasons
B
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.

Answers

9514 1404 393

Explanation:

1. AD ≅ BC, AD ║ BC . . . . given

2. ∠DAC ≅ ∠BCA . . . . alternate interior angles theorem

3. AC ≅AC . . . . reflexive property

4. ΔDAC ≅ ΔBCA . . . . SAS postulate

5. AB ≅ CD, ∠BAC ≅ ∠DCA . . . . CPCTC

6. AB ║ CD . . . . converse of alternate interior angles theorem

7. ABCD is a parallelogram . . . . definition of a parallelogram (has 2 pairs of parallel & congruent sides)

_____

We don't know what your tiles/choices are for statements or reasons. We have shown the triangles are congruent, so their corresponding parts (sides/angles) are congruent. That lets us claim opposite sides are congruent and  parallel. YMMV

Answer:

Picture Down Below

Step-by-step explanation:

what are the solutions to the quadratic equation (5y + 6)² = 24​

Answers

Answer:

no solution

Step-by-step explanation:

25y² +36 = 24

(5y + 6) (5y + 6)

roots -6/5, -6/5

solution is always a positive root

find the product using suitable product 854×102 step by step explanation​

Answers

Answer:

87108

Step-by-step explanation:

854 x 102

= 854 x ( 100 + 2 )

= 854 ( 100 ) + 854 ( 2 )

= 85400 + 1708

= 87108

87108

854
102 x
——-

87108

Which expression is equivalent to 7x , if b > 0?

Answers

Answer:  Choice C

Work Shown:

[tex]7x^2*\sqrt{2x^4}*6\sqrt{2x^{12}}\\\\7*6x^2*\sqrt{2x^4*2x^{12}}\\\\42x^2*\sqrt{4x^{4+12}}\\\\42x^2*\sqrt{4x^{16}}\\\\42x^2*\sqrt{(2x^8)^2}\\\\42x^2*(2x^8)\\\\42*2x^{2+8}\\\\84x^{10}\\\\[/tex]

So that's why the answer is choice C

The requirement that x is nonzero isn't technically necessary. The original expression simplifies to choice C even when x = 0 is the case. Also, we don't have issues such as division by zero errors that could arise. It's a bit curious why your teacher put in that condition.

Answer:

C.

Step-by-step explanation:

7x²×sqrt(2x⁴)×6×sqrt(2x¹²)

we see right away that as constant multiplication factor we have 7×6 = 42.

and then we get from each sqrt expression a sqrt(2), which leads to sqrt²(2) = 2 and therefore 42×2=84.

the only answer option with 84 is C.

now, to be completely sure, and to get some practice, let's look at the other parts :

sqrt(2x⁴) = sqrt(2)×sqrt(x⁴) = sqrt(2)×x²

sqrt(2x¹²) = sqrt(2)×sqrt(x¹²) = sqrt(2)×x⁶

=>

7x²×sqrt(2)×x²×6×sqrt(2)×x⁶ =7×6×2×x²×x²×x⁶ = 84x¹⁰

perfect. C is confirmed.

?????????????????????

Answers

Answer:

[tex]g(x)=x+6[/tex]

Step-by-step explanation:

The problem gives one the following information:

[tex]h(x)=(f\ \ o\ \ g)(x)\\\\h(x)=\sqrt[4]{x+7}\\f(x)=\sqrt[4]{x+1}[/tex]

This problem now requires one to find the function ([tex]g(x)[/tex]).

The format:

[tex](f\ \ o\ \ g)(x)[/tex]

Is another way of writing a composition of a function. In essence, it indicates this operation:

[tex](f(g(x))[/tex]

This means that one has to input one function into another. In other words, substitute one function into another in place of the variable, then simplify and solve to find the new function that is derived from this operation. Since it is given that ([tex]h(x)[/tex]) is the function resulting from the composition of ([tex]f(g(x))[/tex]), an equation can be formed. Treat the evaluator ([tex]g(x)[/tex]) as another variable. Then simplify and solve the equation to find the function that represents ([tex]g(x)[/tex]).

[tex]h(x)=f(g(x))[/tex]

Substitute,

[tex]h(x)=f(g(x))[/tex]

[tex]\sqrt[4]{x+7}=\sqrt[4]{(g(x)+1}[/tex]

Since both numbers are equivalent to each other when one takes the quartic root of the numbers, the numbers underneath the radical must be equivalent to each other. Therefore, one can state the following:

[tex]\sqrt[4]{x+7}=\sqrt[4]{(g(x)+1}[/tex]

[tex]x+7=(g(x))+1[/tex]

Inverse operations:

[tex]x+7=(g(x))+1[/tex]

[tex]x+7-1=g(x)\\[/tex]

[tex]x+6=g(x)[/tex]

Given the following linear function, sketch the graph of the function and find the domain and range.
f(x) = -5x+ 4

Answers

Answer:

There don't seem to be any limits/asymptotes to the function.

Domain = (-∞ , ∞ ), {x|x ∈ R }Range = (-∞ , ∞ ), {x|x ∈ R }

The graph would look something similar to this:

Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.how many cups of water are needed for every ounces of tooth paste

Answers

1 cup per 8 oz

48/6 = 8

every 1 cup of water 8 oz of tomato paste.

1 cup per 8 oz
explained : there are 48 oz of tomato paste and 6 cups of water 48 over 6 is 8 therefore per every 1 cup of water there are 8 oz of tomato paste



Write the equation of the line for the graph shown below.

Answers

Answer:

The answer is C

Step-by-step explanation:

y=-5x-3

Hope this helped

Answer:

I believe the answer is y = -5x -3  

Step-by-step explanation:

The formula is y=mx+b

m= rise over run

b= starting point

and seeing how the dot is on -3 I assume that the answer is y= -5x -3

also m should be in fraction form and if it isn't, you automatically put a 1 as the denominator.

Is the relationship shown by the data linear? If so, model the data with an equation.

Answers

Yes it is linear, you go up my fours in the y side and go down by two on the x side. The equation is y=2x+19

WILL MARK BRAINLIEST

Which is a recursive formula for this geometric sequence?
- 3, 6, - 12, 24, ...

Answers

Answer:

Step-by-step explanation:

B

Which sets of ordered pairs show equivalent ratios? Use the grid to help you.

Check all that apply.

A: (1, 2), (2, 3), (4, 7)

B: (2, 2), (4, 4), (6, 6)

C: (3, 1), (4, 1), (5, 1)

D: (4, 1), (8, 2), (12, 3)

E: (2, 1), (4, 3), (5, 4)

Answers

Answer:

B and D

Step-by-step explanation:

in B the ratio of x/y = 1 for all pairs.

in D the ratio of x/y = 4 for all pairs.

in all other sets there are different ratios inside the set.

Answer:

The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1),      (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

Step-by-step explanation:

Step 1; In order to pair up the pairs with equivalent rations, we first need to calculate the ratios for all the pairs by dividing the first value with the second value. The same procedure must be followed throughout to be able to pair them up.

Step 2; By dividing the values, the ratios are;

For (1, 2), the ratio is  = 0.5,

For (2, 3), the ratio is  = 0.6666,

For (4, 7), the ratio is  = 0.5714,

For (2, 2), the ratio is  = 1,

For (4, 4), the ratio is  = 1,

For (6, 6), the ratio is  = 1,

For (3, 1), the ratio is  = 3,

For (4, 1), the ratio is  = 4,

For (5, 1), the ratio is  = 5,

For (4, 1), the ratio is  = 4,

For (8, 2), the ratio is  = 4,

For (12, 3), the ratio is  = 4,

For (2, 1), the ratio is  = 2,

For (4, 3), the ratio is  = 1.333,

For (5, 4), the ratio is  = 1.25.

Step 3; Now we pair up the sets with the same ratios, out of these 15 pairs. The pairs (2, 2), (4, 4), and (6, 6) have ratios of 1 and the pairs (4, 1), (4, 1),      (8, 2), and (12, 3) have ratios of 4. The other pairs do not have similar ratios.

I hope this is right and it helps you !!!!!!!!!!

solve for "X" where x±4=12​

Answers

Answer:

x = 8, 16

Step-by-step explanation:

x + 4 = 12

x = 12- 4

x = 8

x - 4 = 12

x = 12 + 4

x = 16

I hope this can help you

A baseball is projected upward at 64 feet per second. It can be approximated by the equation -16t^2+64t. The baseball reaches it maximum height at the vertex. That can be gotten from x= −/2a . How long until the baseball reaches its full height? Note a quadratic equation can be written as ax^2+bx+c

Answers

Answer:

f(t) = -16t²+64t

t = number of secondsf(t) = height (in feet)

The x-coordinate(t) of the vertex can be found using formula [tex]\frac{-b}{2a}[/tex], where:

a = -16b = 64

Therefore the t-value of the vertex is:

[tex]\frac{-64}{2(-16)} =\frac{-64}{-32} =2[/tex]

The baseball will reach its maximum height after two seconds.

Find the value of x on this triangle

Answers

Answer:

33

a2+b2 =c2

a2+ 33 squared = 55 squared

a + 1936 = 3025

3025-1936=1089

square root of 1089 is 33

pleeeaaasssseeee mark as brainliest

simplify 4x + 3y - 2x

Answers

Answer:

2x+3y

Step-by-step explanation:

4x + 3y - 2x

Combine like terms

4x-2x    +3y

2x     +3y

4x+3y-2x

Like terms

4x-2x which equals 2x

So

2x+3y

What is the least possible degree of a polynomial that has the root -3 + 2i, and repeated root -2 that occurs twice?

4
3
2
5

Answers

Answer:

4

Step-by-step explanation:

complex roots always occur in pairs.

so roots are -3+2i,-3-2i ,-2,-2

number of roots=4

Look at the numbers below. −9.8 −5.4 1.0 14.8 Which shows the best way to add these numbers using the Commutative and Associative Properties? A. (–9.8 + 1.0) + (–5.4 + 14.8) B. (–9.8 + 14.8) + (–5.4 + 1.0) C. (1.0 + 14.8) + (–9.8 + (–5.4)) D. (1.0 + (–9.8)) + (14.8 + (–5.4)

Answers

Answer:

B

Step-by-step explanation:

i did the test and it was correct, ur welcome

work out the value of (4√2)^2

Answers

Answer:

32

Step-by-step explanation:

(4[tex]\sqrt{2}[/tex] )²

= 4[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{2}[/tex]

= 4 × 4 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]

= 16 × 2

= 32

PLEASE HELP! much appreciated :D

Find the value of x.

Answers

Answer:

a

Step-by-step explanation:

!HELP PLEASEEE! For this problem I thought it meant to subtract 0.1492 - 0.1515 = -0.0023 however my answer was incorrect. How do I solve this problem then? Help Please!

Answers

You subtract 0.1492 from 0.1515. 0.1515-0.1492= positive 0.0023

Draw the image of the rotation of quadrilateral SORT by 270° about the origin.

I need visual help, not a number answer please :)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A rotation 270° CCW is the same as a rotation 90° CW. To see what the figure looks like in its new location, make a copy on a semi-transparent medium, then align the +x axis on the copy with the -y axis on the original graph, keeping the origin in the same place.*

Algebraically, the transformation is ...

  (x, y) ⇒ (y, -x)

For example, ...

  S(7, -6) ⇒ S'(-6, -7)

In the attachment, the rotated figure is in red.

_____

* The exercise of physically doing this on paper or with transparencies can give you the insight you need to learn to do it mentally.

⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆

THAT IS THE RIGHT ANSWER

What is the remainder of 119 divided by 4

Answers

The remainder is three. 4 can go into 119 29 times with a remainder of three.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

The remainder when dividing 119 by 4 is 3.

We have,

To find the remainder when dividing 119 by 4, we perform the division and observe the remainder.

When we divide 119 by 4, we get:

119 ÷ 4 = 29 remainder 3

The quotient is 29, which means that 4 goes into 119 twenty-nine times without any remainder.

However, there is a remainder of 3.

Therefore,

The remainder when dividing 119 by 4 is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Find the missing length indicated

Answers

Answer:

x = 15

Step-by-step explanation:

In ABC, M2A = 55°, c = 11, and m2B = 19º. Find the perimeter of the triangle.

Answers

9514 1404 393

Answer:

  24.1

Step-by-step explanation:

The third angle is C = 180° -55° -19° = 106°. The law of sines can be used to find the other two sides:

  a/sin(A) = c/sin(C)   ⇒   a = c(sin(A)/sin(C))

  b/sin(B) = c/sin(C)   ⇒   b = c(sin(B)/sin(C))

Then the sum of the lengths of the sides is ...

  P = a + b + c = c(sin(A)/sin(C)) +c(sin(B)/sin(C)) +c

  = c(1 +(sin(A) +sin(B))/sin(C)) = 11(1 +(0.8192 +0.3256)/0.9613)

  ≈ 11(1 +1.1909) ≈ 24.0994

The perimeter of the triangle is about 24.1 units.

Zane wants to enlarge two of his photos to frame on his bedroom wall. He has 184 photos from rock concerts he's been to and 88 photos of city
skylines
How many possible combinations of 1 rock concert photo and 1 city skyline photo could Zane choose from?

Answers

Answer:

B

Step-by-step explanation:

184*88=16,192

The price of a car was decreased from $13,000 to $11,830. The price is decreased by what percentage?

Answers

Answer:

It is decreased by 9%

Step-by-step explanation:

First, find out how much money is decreased. To do this, subtract 13,000-11,830=1170. Finally, figure out how much percent 1170 is of the original price of $13,000.

The answer is 7%.

Hope this helps :)

Please help me…………….

Answers

9514 1404 393

Answer:

  54.8 km

Step-by-step explanation:

The sketch and the applicable trig laws cannot be completed until we understand what the question is.

Given:

  two boats travel for 3 hours at constant speeds of 22 and 29 km/h from a common point, their straight-line paths separated by an angle of 39°

Find:

  the distance between the boats after 3 hours, to the nearest 10th km

Solution:

A diagram of the scenario is attached. The number next to each line is the distance it represents in km.

The distance (c) from B1 to B2 can be found using the law of cosines. We can use the formula ...

  c² = a² +b² -2ab·cos(C)

where 'a' and 'b' are the distances from the dock to boat 1 and boat 2, respectively, and C is the angle between their paths as measured at the dock.

The distance of each boat from the dock is its speed in km/h multiplied by the travel time, 3 h.

  c² = 66² +87² -2·66·87·cos(39°) ≈ 3000.2558

  c ≈ √3000.2558 ≈ 54.77

The boats are about 54.8 km apart after 3 hours.

Singh's house the weekly consumption of milk is 6.5 liters what is their daily consumption of milk if they consume same quantity of milk every day

Answers

Answer:

Their daily consumption of milk is of 0.93 liters.

Step-by-step explanation:

Weekly consumption:

6.5 liters.

Daily consumption:

A week has 7 days.

Each day the amount consumed is the same, so the daily consumption is:

6.5/7 = 0.93

Their daily consumption of milk is of 0.93 liters.

Does the graph below represent a proportional relationship?

———————————————

A. Yes, because the graph is a straight line

B. No, because it crosses the y -axis

C. Yes, because it crosses the y -axis

D. No, because the line doesn't pass through the origin, point (0,0)

Answers

The answer is A.
The reason being straight lines mean equal proportions, while curved lines are exponential or quadratic.

Answer:  D. No, because the line doesn't pass through the origin, point (0,0)

Explanation:

A direct proportional graph is always a straight line through the origin.

Algebraically, the form of any direct proportion equation is y = kx, where k is some constant. It plays the role as the slope.

We can rewrite y = kx as y = kx+0 to see that the y intercept is always 0 for these types of equations.

Unfortunately, this line shown has a y intercept of 2 instead of 0. So it's not a direct proportion.

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The observation is sometimes erratic with intravenous administration true or fa 8.9 x 10^3 in standard notation