Given :
Shawn's family car holds 16 gallons of fuel.
Each day the car uses 0.8 gallons to get to school and back.
A warning light comes on when there is less than 1.5 gallons left in the fuel tank.
To Find :
How many days can Shawn drive the car before the warning lights come on.
Solution :
Let, after x days warning come.
So,
[tex]16 - 0.8x < 1.5\\\\16-1.5<0.8x\\\\0.8x > 14.5\\\\x > \dfrac{14.5}{0.8}\\\\x > 18.125[/tex]
Therefore, at 19th day the warning light will start glowing.
Hence, this is the required solution.
can anyone answer this for me? would be greatly appreciated!
Answer: B.) y-1 = x-1
Step-by-step explanation:
The normal format for point-slope equations is
(y - b) = m(x - a) a is the x-value of the given coordinate, b is the y-value and m is the slope
Here, the slope is 1, so it is understood, and 1 always "disappears" when it is a factor
So substituting the values given
(y - 4) = (x - 1) The parentheses are unnecessary because there is no "m"
f(x)=2x-5, evaluate f(5)
Answer:
F(5) = 5
Step-by-step explanation:
F(5) = 2(5) - 5
F(5) = 10 - 5
F(5) = 5
an NFL team kicker misses 2 out of every 11 field goals if he missed 8 field goals out of season how many did he attempt
Answer:
The answer is 44 field goals were attempted. The original ratio was 2/11 and in the second ratio they gave you the value of the field goals made which is 8/x.
Step-by-step explanation:
Answer:
8 out of every 44 field goals.
Step-by-step explanation:
2:11, = 4:22, = 6:33, = 8:44.
the product of 3 and a number divided by 9
Answer:
3x
--------
9
Step-by-step explanation:
A box holds a white button, a brown button and a black button. What is the probability of picking a white button then without replacing it, picking a brown button on the second pick?(decimal)
Answer:
1/5
In decimal = 0.2
Step-by-step explanation:
A box holds a white button, a brown button and a black button.
Hence:
Number of white button= 1
Number of brown button= 1
Number of black button= 1
Total number of buttons = 3
The probability of picking a white button then without replacing it, picking a brown button on the second pick is :
= P(White) × P(Brown) [ without replacement]
= 1/3 × 1/2
= 1/5
In decimal = 0.2
PLEASE HELP WILL GIVE BRAINLIEST
SIMPLE NUMBER LINE QUESTION
Which sentence explains the correct first step in the solution of this equation?
2(−4)=12
Answer:
Answer is choice C. We distribute the outer 2 into each of the inner terms (x and -4). Choice D is a trick answer because a lot of the time you might forget to multiply the 2 by the -4 inside the parenthesis (common mistake).
2 times x = 2x
2 times -4 = -8
2 times (x-4) = 2x-8
Side Note: Another path to solve this equation is to divide both sides by 2, then to add 4 to both sides.
determine if 0.868668666866668666668... is rational or irrational and give a reason for your answer.
Simplify (4-5y)-(2y-16) DO NOT SOLVE FOR Y!!! JUST SIMPLIFY
Product of 1.25 (40)
Answer:
50
Step-by-step explanation:
1.25 (40) = 50
Quick questions: If there is 500 candies and my brother and I took 300 how many would my mom have left. 5000x6000x100000x10=....?. Math: 70,000x8,500,000x8,000,000,000x4,76000000000000e21x2000000000=...?
Answer:
3e+13 is this actucally a math question ur teacher asked ?
7-7+16x-12x-6+x=12x-13x-12
Answer:
x = −1
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
7 - 7 + 16x - 12x - 6 + x = 12x - 13x - 12
Combine like terms
−6 + 5x = -x - 12
Add x to both sides
6x -6 = -12
Add -6 to both sides
6x = -6
Divide 6 to both sides
6x/6 = -6/6
x = -1
Hope this helps and pls do mark me brainliest if you can:)
Help me I'm stuck on this problem!!!! 10 points
12y² + 5x - 2 = ?
Answer:
5x^2 + 17xy - 12y^2
5x^2 + 5xy + 12xy - 12y^2
5x (x - y ) + 12 y ( x - y )
(5x + 12y ) (x-y).
Step-by-step explanation:
Factor the perfect square trinomials
24. 9x^2 + 42x + 49
Answer:
(3x+7)^2
Step-by-step explanation:
order the numbers from least to greatest. -1/20, -5/8, 0, -1, -3/4
Answer:
-1, -3/4, -5/8, -1/20, 0
Step-by-step explanation:
In math class, the girl to boy ratio is 8 to 6. if there are 24 girls in the class how many boys are there?
Answer:
18
Step-by-step explanation:
We know that the girl to boy ratio is 8:6 and we are told that there are 24 girls.
We multiply 8 by 3 to give us 24, so if we multiply by 3 on one side we must multiply by 3 on the other side.
This gives us a final answer of 24:18, so there are 18 boys in the class.
any ideas on what this is (i know its either a or d)
Answer:
c
Because...
It has the same slope.
The perimeter of a rectangle is 8(2x+1) inches. The length of the sides of the rectangle are 3x+4 inches and 4x+3 inches. Find the length of each side of the rectangle. (You will have two answers.)
Answer:
The lengths of the sides of the rectangle are 13 inches and 15 inches
Step-by-step explanation:
The perimeter of a rectangle
Given the two sides of a rectangle a and b. The perimeter of the rectangle is:
[tex]P=2(a+b)[/tex]
We are given the perimeter of a rectangle as:
[tex]P=8(2x+1)[/tex]
And each side has a length of 3x+4 and 4x+3. Calculating the perimeter:
[tex]P=2(3x+4+4x+3)=2(7x+7)[/tex]
We set up the equation:
[tex]8(2x+1)=2(7x+7)[/tex]
Dividing by 2:
[tex]4(2x+1)=7x+7[/tex]
Operating:
[tex]8x+4=7x+7[/tex]
Subtracting 7x:
[tex]x+4=7[/tex]
Subtracting 4:
x=3
The length of each side is:
3x+4=3*3+4=13
4x+3=4*3+3=15
The lengths of the sides of the rectangle are 13 inches and 15 inches
What x value solves the equation?
3x – 5 = 1
x=
Answer:
x = 2
Step-by-step explanation:
3x – 5 = 1
+ 5 +5
3x = 6
x = 6 ÷ 3
x = 2
Answer:
2
Step-by-step explanation:
Step 1:
3x - 5 = 1 Equation
Step 2:
3x = 6 Add 5 on both sides
Step 3:
x = 6 ÷ 3 Divide
Answer:
x = 2
Hope This Helps :)
Ryan wants to plant 1/5 packet of seeds in each row of his garden he has four packets of C Ryan uses the expression 1/5 / 4 to find the number of rows you can plant explain what is wrong with his expression then write a equation to show the correct number of rows
Answer:
The correct expression = 4 / 1/5
The number of rows = 20 rows
Step-by-step explanation:
1/5 Packets of C = 1 row
4 packets of C = x
Cross Multiply
1/5 × x = 4 × 1
The correct expression is
x = 4/ 1/5
x = 4 ÷ 1/5
x = 4 × 5
x = 20 rows
The number of rows Ryan can plant is 20 rows.
What’s the domain and range
Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find the y-intercept, and sketch the graph. f(x) = -x- 8x-7
The answer is : (-4, 9)
The given function is:
f(x) = -x^2 - 8x - 7
To find the vertex of the parabola, we need to complete the square as follows:
f(x) = -(x^2 + 8x) - 7
= -(x^2 + 8x + 16) + 16 - 7
= -(x + 4)^2 + 9
Hence, the vertex is (-4, 9).
Since the coefficient of x^2 is negative, the parabola opens downward.
To find the y-intercept, we set x = 0:
f(0) = -0^2 - 8(0) - 7 = -7
Therefore, the y-intercept is (0, -7).
To sketch the graph, we plot the vertex (-4, 9) and the y-intercept (0, -7). Since the parabola opens downward, it will have a maximum value at the vertex. We can also plot a few other points by choosing values of x and calculating the corresponding values of y.
Therefore, the vertex is (-4, 9).
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Kristen deposited $9,000 in an account that has an annual interest rate at.  4.1% compounded monthly .how much interest will she earn at the end of one month ?show all work
Answer:
$9,030.75
Step-by-step explanation:
S.I = P×R×T ÷ 100
=9000 (1×4.1%×)
Which of the following definitions, are Geometric concepts that exist in 2 dimensions?
A. Ray
B. Plane
C. Angle
D. Perpendicular Lines
E. Point
a resort hotel charges 12.5% in taxes. Additionally they charge a $25 resort fee each day. (The resort fee is not subject to sales tax.)
The following functions represents the situation:
f (a) = 1.125a
g (b) = b + 25
a. Match the following to their description
1. ___ a A. The cost of the hotel room and sales tax, but without the resort fee
2. ___ b B. The cost of the hotel room without sales tax or the resort fee.
3. ___ f (a) C. The cost of the hotel room, with sales tax and the resort fee.
4. ___ g (b)
Answer:
We know that the hotel charges 12.5% in taxes (or 0.125 in decimal form).
Then if the initial cost of the hotel, without taxes, is a, the price with taxes will be:
f(a) = a + 0.125*a = 1.125*a
And the hotel also charges a fee of $25 for each day (that is not subject to taxes) then if the total cost, with taxes, is b, the actual cost will be:
g(b) = b + 25.
Then:
a = The cost of the hotel room without sales tax or the resort fee.
f(a) and b= The cost of the hotel room and sales tax, but without the resort fee
g(b) = The cost of the hotel room, with sales tax and the resort fee.
determine the range of the graph shown
A). [0,8]
B).(0,8)
C).[0,13]
D).[0,12]
Explanation:
The lowest point occurs when y = 0.
The highest point occurs when y = 12.
The range is therefore [tex]0 \le y \le 12[/tex] which converts to [tex][0,12][/tex] which is interval notation. The square brackets tell us to include the endpoints. So we're saying that y can be anything between 0 and 12, including both endpoints.
The range is the set of all possible y outputs of a function.
If a new line, p, is drawn parallel to line I, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line 1
O Line p must be drawn in the same plane as line n.
Line p must be drawn so that it can lie in the same plane as line 1
Line p must be drawn in a way that allows it to lie in the same plane as line l.
What is a plane?In geometry, a plane extends in two dimensions indefinitely. There is no width. In coordinate geometry, a plane can be seen as an example. The positions of points in a plane are determined by their coordinates.
A plane is a flat, two-dimensional surface in mathematics that extends indefinitely. A plane is a two-dimensional analog that can incorporate three dimensions of space, a line, and a point.
Given two planes A and B,
and line l is in plane A,
to draw a line parallel to l,
"Two lines in the same plane, which are equally spaced apart and never cross" are parallel lines.
In order for a new line, p, to lie in the same plane as line l, it must be drawn parallel to line l.
Plane A contains line l.
Thus, plane A is where the line p must be drawn.
Hence option C is correct.
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Pleasee help I'm stuck on this question! At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar? if necessary round to the nesrest hundredth.
Answer:
[tex]\huge\boxed{\text{0.17 hours}}[/tex]
Step-by-step explanation:
We can create two ratios to find how long you can use a bike for one dollar.
Let's set up a ratio in the form [tex]\frac{cost}{hours}[/tex]
We know it costs $23 to ride for 4 hours, so we can make the fraction [tex]\frac{23}{4}[/tex].
We also know that for $1, we'll have some unknown time for the bike. We can represent this as [tex]\frac{1}{x}[/tex].
Since the constant of proportionality has to be the same, we can set these two ratios equal to each other.
[tex]\frac{23}{4}=\frac{1}{x}[/tex]
We can now solve for x by cross multiplying.
[tex]1 \cdot 4 = 4\\\\4 \div 32 \approx 0.17[/tex]
So $1 will get you around 0.17 hours of bike time.
Hope this helped!
Answer:
0.17
Step-by-step explanation:
We can create two ratios to find how long you can use a bike for one dollar.
Let's set up a ratio in the form
We know it costs $23 to ride for 4 hours, so we can make the fraction .
We also know that for $1, we'll have some unknown time for the bike. We can represent this as .
Since the constant of proportionality has to be the same, we can set these two ratios equal to each other.
We can now solve for x by cross multiplying.
So $1 will get you around 0.17 hours of bike time.
have a blessed day
Mike owes his friend $4. Each day, Mike earns $2.
(a) Write an equation that describes the situation in slope-intercept form and explain what the x- and yvalues represent.
(b) Graph the situation on a coordinate plane assuming the domain is all real numbers.
(c) What does the x-intercept mean? What does the y-intercept mean?
(d) Does the situation involve direct variation or not? If it does, justify your answer. If it does not, describe
how the situation would need to change in order for y to directly vary with x. Then, write a direct
variation equation based upon the changed situation.
please help!!! :(
Answer:
a)2x=4
x=days
b)
c) x means how much money he has and y is how many days
Step-by-step explanation:
Find the area of each figure.
Answer:
17. is 31.82 18. is 44.1
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
