Jack's family took a road trip to Niagrara Falls. Jack fell asleep 43% of the way through the trip. If Jack fell asleep after they had travelled 430 miles, what was the total length of the trip?

Answers

Answer 1
Answer:
1,000 miles

Explanation:
Cross multiplication- 43/100 = 430/x
430* 100 = 43000
43 *x = 43x
43,000/43= 1,000

Related Questions

Y-3=-2/5(x-5) solve for y

Answers

Answer:

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

Step-by-step explanation:

[tex]y-3=-\frac{2}{5} (x-5)[/tex]

Distribute [tex]-\frac{2}{5}[/tex] into [tex](x-5):[/tex]

[tex]y-3=-\frac{2}{5} x+2[/tex]

Add [tex]3[/tex] to both sides of the equation:

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

2x+3=x-4 what is the solution

Answers

Answer:

x=-7

Step-by-step explanation:

all you need is an algebra calculator

Answer:

x=-7

Step-by-step explanation:

-(x + 3) + 3/4x +5= 0​

Answers

[tex]\text {Hi! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

[tex]\text {-x+-3+3/4x+5=0}\\\text {(-x+3/4x)+(-3+5)=0}[/tex]

[tex]\text {Your New Problem Is: -1/4x+2=0}[/tex]

[tex]\text {\underline {The Next Step Is To Subtract 2}}[/tex]

[tex]\text {-1/4x+2-2=0-2}[/tex]

[tex]\text {Your New Problem Is: -1/4x=-2}[/tex]

[tex]\text {\underline {The Final Step is to Multiply 4/-1}}[/tex]

[tex]\text {4/-1*-1/4x=4/-1*-2}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=8}[/tex]

[tex]\text {Best of Luck!}[/tex]

Solution:-

[tex] - (x + 3) + \frac{3}{4x} + 5 = 0[/tex]

[tex]⇒ - x - 3 + \frac{3}{4x} + 5 = 0[/tex]

[tex]⇒ - x + \frac{3}{4x} = - 5 + 3[/tex]

[tex]⇒ \frac{ - 4 {x}^{2} + 3 }{4x} = - 2[/tex]

[tex]⇒ - 4 {x}^{2} + 3 = - 8x[/tex]

[tex]⇒ - 4 {x}^{2} + 8x + 3 = 0[/tex]

[tex]⇒4 {x}^{2} - 8x - 3 = 0[/tex]

[tex]⇒x = \frac{ - ( - 8) \pm\sqrt{( - 8)^{2} - 4 \times 4 \times ( - 3) } }{2 \times 4} [/tex]

[tex]⇒x = \frac{8 \pm \sqrt{64 + 48} }{8} [/tex]

[tex]⇒x = \frac{8 \pm \sqrt{112} }{8} [/tex]

[tex]⇒ x_{1} = \frac{8 + \sqrt{112} }{8} \: \: ,\: \: x_{2} = \frac{8 - \sqrt{112} }{8} [/tex]

[tex]⇒ x_{1} = \frac{8 + 10.58}{8} \: \: , \: \: x_{2} = \frac{8 - 10.58}{8} [/tex]

[tex]⇒ x_{1} = \frac{18.58}{8} \: \: , \: \: x_{2} = \frac{ - 2.58}{8} [/tex]

[tex]⇒ x_{1} = 2.32\: \: , \: \: x_{2} = - 0.32[/tex]

[tex] \sf \red{ \therefore{x_{1} = 2.32\: \: and\: \: x_{2} = - 0.32}}[/tex]

I will give you all five stars⭐⭐⭐⭐⭐

Answers

It’s d obviously surjhfbcv

Similar to a rectangle with a length of 16 cm and width of 10 cm

Answers

Answer:

the correct answer 26 cm

Answer:

is 8/5 = 1.6

Step-by-step explanation:

you have to find the same result of the division of 16 / 10 = 1.6

HELP ASAP PLZZZ!!! I would be Soo grateful

Answers

Answer:

31%

Step-by-step explanation:

3/10 is the same as 30%

If 30% of the students liked English and 61% of the students like math, the difference can be found by using subtraction.

61% - 30% = 31%

A theater seats 1,860 people. The last 6 shows that have been sold out. Which is the best estimate of the total number of people attending the last 6 shows?

Answers

Answer:

11160

Step-by-step explanation:

1860x6. :) its that simple

solve for t
2(t+1)=10
t=​

Answers

2(t+1)=10
(distribute the 2 to parentheses)

2t+2=10
(subtract 2 from both sides)

2t=8
(divide both sides by 2)

t= 4

T = 7

2+7+1=10 that is how you get it

find the measure of the missing angle
a=

Answers

Answer:

Angles on a straight line add up to 180°

a = 180° - 29°

a = 151°

Anybody please help I just have 2 minutes I’ll mark you Brainly

Answers

Answer:

20.5730406

Step-by-step explanation:

Solve Ax + By = C for x

Answers

Answer:

x= c/a-by/a

Step-by-step explanation:

Plzzz...somebody help me in math

Answers

Answer:

I can probably help, but there is no image or equation.

Answer:

I can try give me a problem

Step-by-step explanation:

Help meee!!!! Pleaseee

Answers

Answer:

(3,2)

Step-by-step explanation

I'LL MARK YOU AS BRAINLIEST! (if correct)
Which of the following points are NOT coplanar in this image?
Select one:
D, T, R, and F
E, W, S, and X
U, R, G, and V
R, T, F, and X

Answers

Answer:

R,T,F, and X are Not Coplanar in the image provided.

Show that (x-1)(x+2)(x+3) can be written in the form ax^3+bx^2+cx+d where a,b and c are all positive integers, and d is a negative integer

Answers

Answer:

The answer is x³ + 4x² + x - 6.

Step-by-step explanation:

You have to expand it :

[tex](x - 1)(x + 2)(x + 3)[/tex]

[tex] = ( {x}^{2} + 2x - x - 2)(x + 3)[/tex]

[tex] = ( {x}^{2} + x - 2)(x + 3)[/tex]

[tex] = {x}^{3} + 3 {x}^{2} + {x}^{2} + 3x - 2x - 6[/tex]

[tex] = {x}^{3} + 4 {x}^{2} + x - 6[/tex]

The expression (x - 1) (x + 2) (x + 3) is written in form of ax³ + bx² + cx + d as;

⇒  (x - 1) (x + 2) (x + 3) = x³ + 4x² + x - 6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is;

⇒  (x - 1) (x + 2) (x + 3)

Now, It can be solve by multiplying as;

The expression is;

⇒  (x - 1) (x + 2) (x + 3)

⇒ (x - 1) (x² + 3x + 2x + 6)

⇒ (x - 1) (x² + 5x + 6)

⇒ x³ + 5x² + 6x - x² - 5x - 6

⇒ x³ + 4x² + x - 6

Thus, By comparing with the equation of the form ax³ + bx² + cx + d , we get;

⇒ a = 1 , b = 4 , c = 1 and d = -1

Clearly, a, b and c are positive integers, and d is negative integer.

Hence, The expression (x - 1) (x + 2) (x + 3) is written in form of

ax³ + bx² + cx + d.

Learn more about the expression visit:

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Eddie went to a Nascar race and brought $55 with him to spend. Admission cost him $35 and sodas were $6.25 each.
A) Write an inequality that represents how many soda's Eddie can buy.
B) What is the greatest number of sodas Eddie can buy?

Answers

Given :

Eddie went to a Nascar race and brought $55 with him to spend.

Admission cost him $35 and sodas were $6.25 each.

To Find :

A) Write an inequality that represents how many soda's Eddie can buy.

B) What is the greatest number of sodas Eddie can buy.

Solution :

A)

Let, after buying x soda cans money spend is y.

So, [tex]y=6.25x +35[/tex]

It is also given that maximum money he have is $55 .

So, 6.25x + 35 ≤ 55

B)

Now,

6.25x 20

x 3.2

i.e x ≤ 3

Therefore, greatest number of sodas Eddie can buy is 3.

Find the slope of the line perpendicular to y = 9x+4
-1/9
1/9
9

Answers

Answer:

The answer is -1/9

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

To find the slope you take the given slope (9) and flip the reciprocal which results it turning into 1/9.

Then make it the opposite value. Like switching a negative to a positive or a positive to a negative. For this case, you make 1/9 into a -1/9

calculate
21% of $6.85 = $

Answers

Answer: $1.44

Step-by-step explanation: hope this helps please give me brainliest.

Determine the solution to 8(3x – 5) = 80
A x = 5
B x= 10
C x = 12 D x=12

Answers

Answer:

A. x=5

can you also please mark me as brainliest?

Somebody who knows how to do this correctly pls help!!!!!!
(Will mark as brainliest) promise :)
Thanks

Answers

the answer is easy 5/4
The answer for all them is

5. 2
6. 1/4
7.4/5
8. 5/3
9. 5
10. 2/5

Hoped I helpeddd.

Solve the following equation.
r/5 = 28
r =

Answers

Answer:

r=140

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

In the figure below, FH= 14 and GH=6. Find FG.

Answers

Answer:

Let's see what to do buddy....

Step-by-step explanation:

_________________________________

FG = FH + HG ----¢ FG = 14 + 6 = 20

FG = 20

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Fill in each blank for the function f(x) = 3x - 6.

Answers

Answer:

reeee :(

Step-by-step explanation:

What is the solution to
5 + 3(x - 1) = 3x + 14 - (x +15)

Answers

Answer:

x = -3

Step-by-step explanation:

5 + 3(x - 1) = 3x + 14 - (x +15)

5 + ( 3x - 3 ) = 3x + 14 - x -15

3x + 2 = 2x - 1

x + 3 = 0

x = -3

Answer:

x = -3

Step-by-step explanation:

To find the solution to the equation, we would have to find a value of x that would satisfy the equation.

5 + 3(x - 1) = 3x + 14 - (x + 15)

Distribute the 3 on the left side and the - on the right side.

5 + 3x - 3 = 3x + 14 - x - 15

Combine like terms.

2 + 3x = 2x - 1

Subtract 2 from both sides.

3x = 2x - 3

Subtract 2x from both sides.

x = -3

So the solution to the equation would be x = -3.

I hope you find my answer and explanation to be helpful. Happy studying.

ShayAnn is a high school junior who is working on saving money for college. At the beginning of her sophomore year, she made the goal of saving $2,000 each school year for a total of $6,000 by the beginning of her freshman year of college. Six months into her junior year of high school, ShayAnn is evaluating the progress she has made toward her goal. So far, she has saved $2,000. To make her original goal of $6,000, how much does ShayAnn need to save each month for the next 18 months (round to two decimal places if needed)? no

Answers

Answer:

The amount, she needs to save each month for the remaining 18 months is $222.22

Step-by-step explanation:

The given information are;

The amount ShayAnn intends to save each year = $2,000

The total amount ShayAnn plans on saving = $6,000

The amount ShayAnn had saved six months into her junior year = $2,000

The number of months remaining for her to save towards her goal = 18 months

The amount she needs to save each month for the next 18 months to make her goal of $6,000 is given as follows;

The amount remaining to make her original goal = $6,000 - $2,000 = $4,000

The amount, X, she needs to save each month for the remaining 18 months is therefore;

X = (The amount remaining to make her original goal)/(The number of months remaining for her to save towards her goal)

X = $4,000/(18 months) = [tex]\$ 222.\overline 2[/tex]

∴ The amount, she needs to save each month for the remaining 18 months = $222.22.

1.05 x 10^4 in standard notation

Answers

Answer:

10,500

Step-by-step explanation:

Answer:10500

Step-by-step explanation:10^4=10000. This number has 4 0's so move the decimal 4 places to the right

A half gallon of pineapple juice for $1.79 OR 1 gallon of pineapple juice for $3.55

Answers

id say a half gallon because its cheaper:)

Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)?

1. Plot the point (2, 4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (2, 4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.

Answers

Answer:

c.

Step-by-step explanation:

In order to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2), the steps to use are:

Plot the point (–2,4).From that point, count left 3 units and down 1 unit and plot a second point.Draw a line through the two points.

What is graph?

A graph is actually known to be a diagram which is used in mathematical problems to show or review the relationship that exists between two or more sets of numbers.

We see that in order to graph the given equation above, it is necessary to follow the steps outlined above.

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n = 5(m² + D)
Solve for D

Answers

Answer:

D = [tex]\frac{n-5m^2}{5}[/tex]

Step-by-step explanation:

Given

n = 5(m² + D) ← distribute

n = 5m² + 5D ( subtract 5m² from both sides )

n - 5m² = 5D ( divide both sides by 5 )

[tex]\frac{n-5m^2}{5}[/tex] = D

The solution of the expression for the value of D will be D = (n - 5m²) / 5

What is an expression?

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 n = 5(m² + D). The value of D will be calculated as below:-

n = 5(m² + D) ← distribute

n = 5m² + 5D ( subtract 5m² from both sides )

n - 5m² = 5D ( divide both sides by 5 )

(n - 5m²) / 5  = D

Therefore, the solution of the expression for the value of D will be D = (n - 5m²) / 5

To know more about an expression follow

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5x minus 6 equal 44?

Answers

Answer:

x = 10

Step-by-step explanation:

I'm not entirely sure what you're asking, however we know that:

5x-6=44

5x must be 50, as 50-6=44

50 divided by 5 is 10, so 10x

Answer:

x=10

Step-by-step explanation:

Add 6 to both sides.

5x=44+6

Add 44 and 6 to get 50.

5x=50

Divide both sides by 5.

x= 50/5

Divide 50 by 5 to get 10.

x=10

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