Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Distance = 402\ miles[/tex]
[tex]Gasoline = 23/2\ gallons[/tex]
Required
Determine boats with better rates
This question requires options which are missing. However, I'll give an explanation on how to determine the right answers.
First, determine the rate of the given boat by dividing distance by amount of gasoline.
[tex]Rate = Distance/Gasoline[/tex]
[tex]Rate = 402\ miles / \frac{23}{2}\ gallons[/tex]
[tex]Rate = 402\ miles * \frac{2}{23\ gallons}[/tex]
[tex]Rate = \frac{402\ miles * 2}{23\ gallons}[/tex]
[tex]Rate = \frac{804\ miles}{23\ gallons}[/tex]
[tex]Rate = 34.96\ miles/gallon[/tex]
For the list of mission options, calculate the rate using the same formula used above... then compare the results.
Take for instance, we have a boat with:
[tex]Distance = 500\ miles[/tex]
[tex]Gasoline = 10\ gallons[/tex]
Rate would be:
[tex]Rate = 500\ miles/10\ gallons[/tex]
[tex]Rate = 50\ miles/gallons[/tex]
By comparing these rates, we have that:
[tex]50 > 34.96[/tex]
So, this new boat has a better rate than the given boat.
Apply this on the missing options
h+9.5= -9.5
find h. help pls, thank you
This is not math but plz help here are some points
Answer:
the second one
Step-by-step explanation:
a line containing the points (4,4) and (8,9)
Answer:
im assuming slope : 5/4 is slope
Step-by-step explanation:
the formula (y₂ - y₁) / (x₂ - x₁) is how you get slope. plug stuff in and you get (9 - 4) / (8 - 4) and thats 5/4
Answer:
y=1.25x-1
Step-by-step explanation:
Hope this helps! PS I'm not assuming anything
What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}
Answer:
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
Step-by-step explanation:
The domain is the set of the x-coordinates.
The range is the set of the y-coordinates.
If any value appears more than once as an x-coordinate, it is not a function.
Domain: {0, 2, 5}
Range: {0, 2, 5}
The relation is not a function since the 0 appears more than once as an x-coordinate.
The Marine Discovery Aquarium sells ocean-themed cookies in their gift shop. Last month, they sold 65 shark cookies and 85 clown fish cookies. The cookies were so popular that they want to order more cookies this month. They plan to order 170 clown fish cookies this month. If they keep the same ratio, how many shark cookies should they order this month?
Answer: 130 shark cookies.
Step-by-step explanation: If you divided 170 clown fidh cookies by 85 clown fish cookies you get 2. So same as 85 times 2. Then do the same with the shark cookies. 65 times 2, that equals 130.
What is the decimal equivalent of 5/11? (round to the hundredths place)
Answer:
0.45
Step-by-step explanation:
Answer:
0.45
Step-by-step explanation:
5 ÷ 11 or 5.0 ÷ 11 = 0.45
Hope this helped!!! Pls mark me brainliest if you want more math answers like this! Also pls thank me!
Instructions: Find the missing angle in the image below. Do not include spaces in your answers. If you are using a screen-reader, please consult your instructor for assistance. m∠DCF= ∘
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 47 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Complete question :
Ned is riding his bike from his house to the park, both of which are on the same straight road. On his way, he stops at a store, which is 4/7 of the way to the park, and then bikes the remaining 0.6 mile to the park. What is the distance between Ned's home and the park?
Answer:
1.4 miles
Step-by-step explanation:
Given that :
Ned's home and park are on the same straight road :
Store where Ned stopped is 4/7 of the way to the park
Bikes the remaining 0.6 miles to the park
Hence after traveling 4/7 of the distance, distance to park is 0.6 miles
Hence, 1 - 4/7 = 3/7
Hence, 3/7 of the way = 0.6 miles
If 3/7 = 0.6 miles
Then, 1 = x
Cross multiply
3/7 x = 0.6
3x = 4.2
x = 4.2 / 3
x = 1.4 miles
The distance from Ned's home to park is 1.4 miles
The distance between Ned's home and the park is 1.4 miles.
Ned is riding his bike from his house to the park, both of which are on the same straight road.
At some point between the way to the park, he covered [tex]\dfrac{4}{7}[/tex] of total distance and the destiny is still remained by 0.6 mile.
The fraction of the distance yet to be covered is,
[tex]\begin{aligned}\rm{Remaining\;distance}&=1-\dfrac{4}{7}\\&=\dfrac{7-4}{7}\\&=\dfrac{3}{7} \end{aligned}[/tex]
Now, the remaining distance is given that is 0.6 mile.
Therefore,
[tex]\begin{aligned}\dfrac{3}{7} \times \rm{Total \;distance}&=0.6\\\rm{Total \;distance}&=1.4\;\rm{miles} \end{aligned}[/tex]
Thus, the distance between Ned's home and the park is 1.4 miles.
To know more about it, please refer to the link:
https://brainly.com/question/24379068
An 11-inch string is cut into 3 equal pieces. Which expression shows the length of each piece?
A. 11/3
B. 1/11 of 3
C. 3 divided by 11
D. 3÷11
Answer:
a
Step-by-step explanation:
11/3 (eleven divided by three)
find the value of x. A.12 B.30 C.9 D. 21.75
Answer:
i need help my self keep trying
Step-by-step explanation:
Write an equation of a line that is (a) parallel to the given line and (b)
perpendicular to the given line.
can you answer 7 too ?
Answer:
for question 7 : I think it is no
Step-by-step explanation:
if you plot the points on a quick rough sketch you will find that none of the coordinates are on the same line (which they would have to be for a straight line). No points in those 3 coordinates are the same so the there cannot be two points on the same x or y coordiante therefore there is no right-angles triangle.
If you plot the points roughly there will not be two perpendicular lines so there is no right-angles triangle.
sorry I realise this is confusing :(
Also for Question 5:
Parallel should be anything y= for example, y=6
Perpendicular should be anything x= for example x=6 as y=7 is a horizontal line and x=6 is a vertical line. Y=6 would be parallel because y=(any number with no gradient e.g. 1,2,3,4,etc.) is horizontal.
What is the discriminant of the quadratic equation
7x^2-4x+5=0
Answer:
[tex]\Delta=-124[/tex]
Step-by-step explanation:
The discriminant for a quadratic in standard form is given by the formula:
[tex]\Delta=b^2-4ac[/tex]
We have the equation:
[tex]7x^2-4x+5=0[/tex]
Hence, a=7; b=-4; and c=5.
Therefore, our discriminant will be:
[tex]\Delta=(-4)^2-4(7)(5)[/tex]
Evaluate. Hence, our discriminant is:
[tex]\Delta=16-140=-124[/tex]
Notes:
Since our discriminant is negative, this tells us that the quadratic has no real roots.
Answer:
-124
Step-by-step explanation:
The discriminant is given by
b^2 -4ac where ax^2 + bx+c =0
7x^2-4x+5=0 so a = 7 b = -4 and c = 5
( -4) ^2 - 4(7) ( 5)
16 - 140
-124
Find the quotient: (16x + 24x2) = 2x
Answer:
48x=2x
Step-by-step explanation:
im big brain can i get brainilest
$4.50 plus $3.60 per mile. Patrick paid $28.80 to ride a shuttle bus into the city. How many miles did Patrick ride on the shuttle bus?
I'm very sorry but i don't know the answer to this queshtion
13/14% of a quantity is equal to what fraction of the quantity?
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The solution to the inequality is . Sal's mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Question:
Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage.
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is .
The solution to the inequality is .
Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.
Answer:
a. [tex]150 + 51x < 100 + 55x[/tex]
b. [tex]x > 12.5[/tex]
c. At least 13 months
Step-by-step explanation:
Given
First Phone;
[tex]Cost = \$100[/tex]
[tex]Additional = \$55[/tex] (monthly)
Second Phone;
[tex]Cost = \$150[/tex]
[tex]Additional = \$51[/tex] (monthly)
Solving (a): The inequality
Represent the number of months with x
The first phone is expressed as:
[tex]100 + 55x[/tex]
The second phone is expressed as:
[tex]150 + 51x[/tex]
For the second to be less expensive that the first, the inequality is:
[tex]150 + 51x < 100 + 55x[/tex]
Solving (b): Inequality Solution
[tex]150 + 51x < 100 + 55x[/tex]
Collect Like Terms
[tex]51x-55x<100 - 150[/tex]
[tex]-4x<-50[/tex]
Solve for x
[tex]x > -50/-4[/tex]
[tex]x > 12.5[/tex]
Solving (c): Interpret the solution in (b)
[tex]x > 12.5[/tex] implies 13, 14, 15....
Hence, She'll keep the second phone for a period of at least 13 months
Answer:
I'm terrible at explaining so here's a screenshot
- Ripper
Step-by-step explanation:
Which is the factorization of 8x2 + 13x – 6
Answer:
(8x−3)(x+2)
Step-by-step explanation:
Factor 8x2+13x−6
8x2+13x−6
=(8x−3)(x+2)
Answer:
13x + 10
Step-by-step explanation:
Solve equations with variables on both sides 6 - x = 5x + 30
The solution to the equation 6 - x = 5x + 30 is x = -4.
We have,
To solve the equation 6 - x = 5x + 30, we can start by bringing all the variables to one side and the constants to the other side of the equation. Here's the step-by-step solution:
Start with the equation: 6 - x = 5x + 30.
To eliminate the variable terms on the right side, subtract 5x from both sides of the equation:
(6 - x) - 5x = 5x + 30 - 5x.
Simplifying the left side gives: 6 - x - 5x = 30.
Combining like terms on the left side yields: 6 - 6x = 30.
Now, isolate the term with the variable.
Move the constant term (6) to the right side by subtracting it from both sides of the equation:
6 - 6x - 6 = 30 - 6.
Simplifying both sides gives: -6x = 24.
To solve for x, divide both sides of the equation by -6:
(-6x) / -6 = 24 / -6.
Simplifying gives: x = -4.
Therefore,
The solution to the equation 6 - x = 5x + 30 is x = -4.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
is 0.59 a repeating decimal
Answer:
No
Step-by-step explanation:
Chris and Sean live on Main Street. Chris lives7 blocks east of Center Avenue, and Sean
lives 10 blocks west of Center Avenue. How far apart do Chris and Sean live from each
other?
Answer:
17 blocks
Step-by-step explanation:
17 blocks because if you draw it on a number line they are opposite sides of the number line so you would do 7+10 which is 17.
I put 37 points in this pls this is urgent!! I’ll give brainliest to best answer... PLEASEE
Answer:
19x + 550n + 200
Step-by-step explanation:
Total cost of the skirts
[tex]7x + 150n + (2n + 1) \times 200 + 4 \times 3x \\ \\ = 7x + 150n + 400n + 200 + 12x \\ \\ = \purple{ \bold{19x + 550n + 200}}[/tex]
Can u answer this. This ain’t 20 characters long, why.
Answer:
Step-by-step explanation:
slope is 3/4.
I'm pretty sure, cuz it's rise/run
Which ordered pair is the solution to the system of equations? {−3x+4y=−20y=x−4 (−4, −8) (4, 8) (−2, −6) (0, −5)
Answer:
Step-by-step explanation:
-3x + 4y = -20
y = x - 4
Put the second equation into the first equation in place of y.
-3x + 4 (x - 4) = -20
Multiply everything in the parenthesis by 4.
-3x + 4x - 16 = -20
Combine like terms.
x - 16 = -20
Add 16 to both sides.
x = -4
Put this into the second equation in place of x.
y = -4 - 4
y = -8
Your solution set is (-4,-8).
Hope this helps!
Answer:
(-4,8)
Step-by-step explanation:
pleaseee help meee!!!!!!! :)
Answer:
the answer to your question is (1,-2)
Answer: y=2x-1
This is the answer
Step-by-step explanation:
I fix the answer
Item 7
Use the Distributive Property to simplify the expression.
9(3+c+4) =
ty
what is 3x+24+19x= what?
Answer:
is x 4.3 and would equal 98.6?
Step-by-step explanation:
what is the least common denominator of2/3and 5/8
Answer:
16
Step-by-step explanation:
3 and 8 can both go into 16
can someone help plzzz asappp :///
Answer:
I believe answer choice A
Step-by-step explanation:
Answer:
I thin that the answer is A
Step-by-step explanation:
In 2017, the price of gas in a certain state changed from $2.24 to $2.56. Calculate the percent of change increase in the price of gas in 2017.
Group of answer choices
14.3%
32%
12.5%
80%
Answer:
12.5%
Step-by-step explanation:
2.56-2.24 =0.32
By using the rule of three we can find the answer.
we have that 2.56 = 100% so we have to find what percentage 0.32 represents
(0.32*100)/2.56 = 12.5
Answer:
12.5%
Step-by-step explanation:
The output of a function is 8 less than 23 times the input. Find the input when the output is -23.
Answer:
Step-by-step explanation:
-23=-3X-8