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Ramón and Merissa are driving to New York City after college. The first 300 miles they spend $12.50 on gas.
At this rate, if they drive 960 miles, how much will the gas cost for the entire trip?
Answer:
the gas cost for the entire trip is $77
Step-by-step explanation:
Given that
For the first 300 miles, it spend $12.50 on gas
We need to find out the gas cost for the overall trip at the time when it drives 960 miles
So, it should be
= 960 miles ÷ $12.50
= $76.80
= $77
Hence, the gas cost for the entire trip is $77
Choose an equation of a line through the point (-4, 1) perpendicular to y=−12x+3.
Answer:
[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
Step-by-step explanation:
slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]
solve for b:
[tex]1 = \frac{1}{12}(-4) + b[/tex]
solve parenthesis:
[tex]1 = -\frac{1}{3}+b[/tex]
add [tex]\frac{1}{3}[/tex] to both sides:
[tex]b = \frac{4}{3}[/tex]
final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.
1 1/3 × 4
= 4/3 × 4
= 16/3
= 5 1/3
Answer:
5 1/3
Step-by-step explanation:
1 1/3 * 4
Change 1 1/3 to an improper fraction
1 1/3 = (3*1+1)/3 = 4/3
4/3 *4 = 16/3
Change to a mixed number
3 goes into 16 5 times with 1 left over
5 1/3
calculate (4.8×10⁵)÷(1.2×10³),give your answer in standard form to 3 significant figures
Step-by-step explanation:
pleae mark as brain list please give me some thanks please
NEED HELP ASAP
The length of a rectangular parking lot at the airport is 2/3 mile.if the area is 1/2 square mile, what is the width of the parking lot?
Answer:
3/4 mile
Step-by-step explanation:
[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]
Determine the measure of CD from the diagram below.
A
E
809
88
Answer:
88
Step-by-step explanation:
line AC is equal to line DB
One angle of a triangle measures 92°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is
= 180.
The congruent angles each measure
O'
Answer:
Each angle measures 44°.
Step-by-step explanation:
Answer:
44°
Step-by-step explanation:
180-92=88
Please help me with these three questions...
I will be really thankful for help
Answer:
1. Terminating
2. 60
3. I don't know
Step-by-step explanation:
I need your help!!!
In which triangle is the value of x to tan^-1(3.1/5.2)??
(Images may not be drawned on the scale)
The angle of x in the right angle triangle is 30.80 degrees
Right angle triangle:
Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.
Let's find the angle x using trigonometric ratios;
tan x = opposite / adjacent
Therefore,
tan x = 3.1 / 5.2
x = tan⁻¹0.59615384615
x = 30.7991697243
x ≈ 30.80°
Therefore, the angle of x is 30.80 degrees
learn more on right angle triangle here: https://brainly.com/question/3770177
Help me out plz help me
Answer:
-15
Step-by-step explanation:
Step 1: Multiply 3 by both sides
3(2/3x)=3(-10)
Step 2: Simplify
2x=-30
Step 3: Divide both sides by 2
2x/2=-30/2
Step 4: Simplify
x=-15
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
y = 4x – 18
y = -5x +9
Answer:
(3, -6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 4x - 18
y = -5x + 9
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 4x - 18 = -5x + 9[Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9[Addition Property of Equality] Add 18 on both sides: 9x = 27[Division Property of Equality] Divide 9 on both sides: x = 3Step 3: Solve for y
Substitute in x [1st Equation]: y = 4(3) - 18Multiply: y = 12 - 18Subtract: y = -6Answer:
x=3
y = -6
Step-by-step explanation:
y = 4x – 18
y = -5x +9
Set the two equations equal
4x – 18 = -5x +9
Add 5x to each side
4x – 18 +5x= -5x+5x +9
9x -18 = 9
Add 18 to each side
9x -18 +18 = 9+18
9x =27
Divide by 8
9x/9 = 27/9
x = 3
Now find y
y = 4x-18
y = 4*3 -18
y =12-18
y = -6
Question is in photo.
Thanks
Answer: yes
Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.
Answer:
Yes
Step-by-step explanation:
The correlation of the dots is very strong although it can't be a straight line.
Hope this helps
Please helpppp
Graph the system of inequalities {y>2x+1/ y>|x|. Which two quadrants does the solution lie in?
Answer:
Option (1)
Step-by-step explanation:
We have to graph the system of inequalities given.
y > 2x + 1 -----(1)
y > |x| --------(2)
For inequality (1),
Solution area will be the area above the dotted line y = 2x + 1
Similarly, solution area of the second inequality will be the area above the dotted lines of y = |x|
Solution area of the system of inequalities will be the common area of both the graphs of the given system.
That will lie in quadrants 1 and 2.
Option (1) will be the answer.
the sum of the digits of a two-digit number is 15. the unit digit is one less than the tens digit. find the number. let x be the tens digit. show the equation!
Answer: 87.
Step-by-step explanation:
Let x be the tens digit, then (x - 1) - unit digit.
x + x - 1 = 15
2x - 1 = 15
2x = 15 + 1
2x = 16
x = 16 ÷ 2
x = 8 - the tens digit.
8 - 1 = 7 - the units digit.
87 - the number.
Question 9 Multiple Choice Worth 1 points)
(01.06 MC)
Solve the following equation for x: 2x + 5y = 8.
Answer:
x = 4 - 5/2 y
Step-by-step explanation:
2x + 5y = 8.
Subtract 5x from each side
2x + 5y -5y = 8-5y
2x = 8 -5y
Divide each side by 2
2x/2 = (8-5y)/2
x = 4 - 5/2 y
Answer:
x=[tex]\frac{-5y}{2}[/tex]+4
Step-by-step explanation:
Hi there!
We're given the equation 2x+5y=8 and we want to solve it for x
as we don't know the value of y, x won't actually be a number (it'll be an expression instead). However, we will solve this as if it was a regular equation by isolating x onto one side
here's the given equation
2x+5y=8
start by subtracting 5y from both sides
2x=-5y+8
divide both sides by 2
x=[tex]\frac{-5y}{2}[/tex]+4
Hope this helps!
Seema is travelling to California. She travels a distance of 7,800 km by plane to Lima and then another 6,700 km to Los Angeles. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
16 hours 6 minutes
See the image above
Answers the question in the picture
Answer:
see explanation
Step-by-step explanation:
- 6 would represent a $6 debt
- 6 would represent 6 feet below sea level
hELPpppPpPP pLEAaSSEEseE
What is the value of x?
2
3
6
7
Answer:
x = 2
Step-by-step explanation:
AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12
DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5
To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:
AE * BE = DE * CE
Now, we can substitute and solve:
(x + 12)(x + 1) = (x + 5)(x + 4)
x^2 + 13x + 12 = x^2 + 9x + 20
13x + 12 = 9x + 20
4x + 12 = 20
4x = 8
x = 2
Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit
Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
−2(4y+1)=−8y−2??
Does it have one solution, no solution, or infinite?
Step-by-step explanation:
−2(4y+1)=−8y−2
4y+1=4y+1
infinite solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
-2(4y+1)=−8y−2
=> -2(4y)-2(1)= -8y-2
=> -8y-2=-8y-2
=> Infinitely many solutions as x from both sides get cancelled
The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.
Answer:
x = 15
Step-by-step explanation:
Given that,
The length of the base of an isosceles triangle is x.
The length of a leg is 3x-4.
Perimeter, P = 97
An isosceles triangle has one base. The perimeter of a triangle is given by :
97=x+3x-4+3x-4
97 = 7x-8
97+8=7x
105 = 7x
x = 15
So, the value of x is 15.
write a numerical expression
two hundred fifty-nine mines eighty-five plus sixty-two divided by two
What is the value of x, if the volume of the cone is 12mm?
5 m
6 m
U
04 m
0 10 m
06 m
8
05 m
Answer:
V=1/3 pie r^2h (Formula)12×22/7=1/3×22/7×3^2×hEliminate 22/712=(9×h)/3Make "h" the subject of the equation h=36/9h=4mAnswer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
It takes for plumbers five days to fit central heating in an office block. How long would it take ten plumbers?
Answer:
2 days
Step-by-step explanation:
It takes four plumbers five days
total labor needed
4 * 5 = 20 days
How long would it take ten plumbers?
20 / 10 = 2 days
MATH HELP PLEASE show WORK
9514 1404 393
Answer:
5 ft from ceiling9 ft from side wallStep-by-step explanation:
Halfway along the 18' length from side wall to side wall will be 18'/2 = 9' from either wall.
Halfway along the 10' length from floor to ceiling will be 10'/2 = 5' from the ceiling (or floor).
The midpoint of the wall is 5' from the ceiling and 9' from the side wall.
If f(x) = x^2 + 1 find f (a+1)
Answer:
f(a + 1) = a² + 2a + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + 1
Step 2: Evaluate
Substitute in x [Function f(x)]: f(a + 1) = (a + 1)² + 1Expand [FOIL]: f(a + 1) = a² + 2a + 1 + 1Combine like terms: f(a + 1) = a² + 2a + 2Answer:
[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]
A system of two equations is shown.
y= 5x + 3
y = 3x - 1
A Graph the two lines.
B. What is the solution of the system?
Answer:
x=-2;y=-7
Step-by-step explanation:
y=5x+3
y=3x-1
3x-1=5x+3
-2x=4
x=-2 y=5x+3 y=5×(-2)+3 y=-7
Which ratios are equal to cos(B)? Choose the TWO ratios that apply.
Answer:2 and 5
Step-by-step explanation:
The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]
What are similar triangles?"Two triangles are said to be similar
- if corresponding angles are equal and the sides
- if corresponding sides of the triangles are in proportion."
What is cosine angle?In a right triangle,
cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse
For given example,
Triangles ABC and DEF are similar triangles.
This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex] ..............(i)
For a right triangle ABC,
the cosine of angle B is,
[tex]cos(B)=\frac{BC}{AB}[/tex]
From (i),
[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]
So, the cosine of angle B is,
[tex]cos(B)=\frac{EF}{DE}[/tex]
Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]
Learn more about similar triangles here:
https://brainly.com/question/25882965
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