Answer:
157.5 miles with 6 gallons
Step-by-step explanation:
105miles / 4gallons = 26.25miles per gallon
26.25miles per gallon * 6miles = 157.5 miles
Adalia ate lunch and wanted to leave her waitress a 15% tip. Her meal cost $8.95. How much money will the entire meal, including the tip, cost?
Answer:
Total cost = $10.2925
Approximately $10.30
Step-by-step explanation:
Cost of meal = $8.95
Tip = 15% of $8.95
= 0.15 × 8.95
= $1.3425
How much money will the entire meal, including the tip, cost?
Total cost of the meal = Cost of meal + amount of tip
= $8.95 + $1.3425
= 10.2925
Total cost = $10.2925
Approximately $10.30
What is the constant of proportionality for the relationship represented by this graph?
Answer: (5,11)
Step-by-step explanation:
Answer:
k = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of proportionality is
y = kx ← k is the constant of proportionality
To find k use any coordinate point lying on the graph
Using (12, 6 ), then
6 = 12k ( divide both sides by 12 )
k = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]
Which equation is a linear function?
Answer:
I WOULD SAY B sorry caps
Step-by-step explanation:
Answer: I did um the one with 7 and it works
Step-by-step explanation:
Please help, this was due yesterday. Ill give brainliest :) the red numbers (in order from top to bottom, left to right) are 112, 116, 234, 166, 400.
Write the ratio as a fraction in simplest form 24 nickels to 48 nickels
Answer:
2/3
Step-by-step explanation:
just divide the numbers by 6 the first time and get 4/6 and then divide one more time and get 2/3
A surveyor is studying a map of the community and is using vectors to determine the distance between two schools. On the map, the surveyor determined that school A is at (7, 12), and school B is at (–21, –13). The scale of the map is 1 unit = 100 meters.
Which vector represents the path from school A to school B, and what is the actual distance between them?
a) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 37.54 meters
b) components: LeftAngleBracket 28, 25 RightAngleBracket, actual distance: about 3,754 meters
c) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 37.54 meters
d) components:LeftAngleBracket negative 28, negative 25 RightAngleBracket, actual distance: about 3,754 meters
Answer:
C: <-28,-25>, etc.
Step-by-step explanation:
The vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.
As per the given data:
Coordinates of school A = (7, 12)
Coordinates of school B = (-21, -13)
Scale of the map is 1 unit = 100 m
For vector representing the path A to B:
Final - Initial coordinates
= (-21 - 7, -13 - 12)
= (-28, -25)
Distance between A and B:
Distance formula = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
= [tex]\sqrt{(-21 - 7)^2 + (-13 - 12)^2}[/tex]
= 37.54 units {1 unit = 100 m}
= 3754 meters
Hence, the vector from A to B is (-28, -25) and the distance between A to B is 3754 meters.
To learn more about Coordinate Geometry, click:
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May someone please help me?
Answer:
x=8°
y=29°
Step-by-step explanation:
vertically opposite angles are equal
so 5x+9°=y+20°
therefore 5x-y=11°
Alternate angles are equal
so 4x+17°=y+20°
therefore 4x-y=3°
equation 1....... 5x-y=11°
equation 2......4x-y=3°
using elimination method x=8°
y=29°
Which of these is NOT part of a plot?
a
beginning
b
transition
C
middle
d
end
find x and m of angle wyl
Answer:
Step-by-step explanation:
x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)
now, for m of WYL
notice, YLW = 90°
also, UWL = 42°
name the intersection point of YL and WU as O in your mind
Apply angle sum property of a triangle for triangle WOL
angle WOL + angle UWL + angle YLW = 180
angle WOL + 90 + 42 = 180
angle WOL = 180 - 132
angle WOL = 48
now focus on line LOY
since LOY is a line, the angles a line intersecting it forms a linear pair, i.e
angle WOL + angle YOW = 180
48 + YOW = 180
angle YOW = 132
Now, apply angle sum property for triangle YOW
angle YOW + angle YWO (x) + angle WYO (or WYL) = 180
132 + 42 + WYO (or WYL) = 180
WYO (or WYL) = 6°
ask me in the comments if you have any doubts in this
Which graph represents a linear function?
A coordinate plane is shown with a line passing through the y-axis at 7.5 and the x-axis at 12
A coordinate plane is shown with a line that starts to the left of the y-axis, passing through -1 comma 10, then curving right to pass through the y-axis 7, then curving down to pass through the x-axis at 2
A coordinate plane is shown with a parabola opening downward in an upside-down U shape. The base of the parabola sits at the origin and continues downward on both sides of the y-axis
A coordinate plane is shown. A wavy line begins along the x-axis and moves in intervals downward and back up, dipping down to y equals negative 1 and up to y equals 1.
Answer:
First Graph Description
Step-by-step explanation:
A linear function shows as a straight line.
The first graph description describes a straight line.
The second, third, and fourth graph description says that either the line is curved, or that it is a parabola. A parabola is not linear.
A coordinate plane is shown with a line that starts to the left of the y-axis, passing through -1 comma 10, then curving right to pass through the y-axis 7, then curving down to pass through the x-axis at 2
A coordinate plane is shown with a parabola opening downward in an upside-down U shape. The base of the parabola sits at the origin and continues downward on both sides of the y-axis
A coordinate plane is shown. A wavy line begins along the x-axis and moves in intervals downward and back up, dipping down to y equals negative 1 and up to y equals 1.
Hope this helps.
Find the value of x so that the ratios 8:20 and 6:x are equivalent
x=
please help asap will give brainliest
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
6:15 x = 15
Step-by-step explanation:
Simplify the ratio 8:20 by 4.
Get 2:5
SImplify 6:x by 3
GEt 2:x
To get them to be the same multiply 3 times 5. 5 from the ratio and 3 from what you divide.
Anwser 2.5=2.5
X=15
The value of x for the equivalent ratios 8/20 = 6/x is 15.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
8:20 is equivalent to 6:x
This means,
8/20 = 6/x
Solve for x.
8/20 = 6/x
x = (6 x 20)/8
x = 3 x 5
x = 15
Thus,
The value of x is 15.
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6x=3-12x
how can i solve it
please tell the answer in a simple way
Answer:
x=0.16
Step-by-step explanation:
ab(a²-b²)
can somebody solve this for me.
Answer:
a³b - ab³
Step-by-step explanation:
Given
ab(a² - b²) ← distribute parenthesis by ab
= a³b - ab³
Dino's Dinosaur rental has two packages for renting a dinosaur costume.
Package #1: $50 initially to reserve the costume and $10 per hour to use the costume
Package #2: $35 initially to reserve the costume and $15 per hour to use the costume
Answer:
90$ all together
Step-by-step explanation:
Liz travels at a constant velocity of 65 miles per hour toward Tucson. Tucson is 275 miles away. How long will it take her to get there?
Answer:
4.23076923077
Step-by-step explanation:
if you need a remainer please comment hope this helps also if you do put this in if you need a shorder anwser put 4.2307
Find the slope of the line.
A: 3/2
B: -2/3
C: 2/3
D: -3/2
Answer:
Slope= [tex]rise/run[/tex]
slope= - 1/5
Step-by-step explanation:
(3,2) (-2,3)
formula = [tex]y2-y1/ x2- x1[/tex]
[tex]3-2 / -2 -3[/tex]
[tex]1/-5[/tex]
slope= - 1/5
John played 8 games of basketball this season. In his first 2 games, he averaged 5 more points scored than he did in the next 6 games. If he scored 90 points during the 8 game stretch, then how many points did he score in the first two games of the season, added together?
HELP FASTTTT I need the work for this problem
Answer:
30Step-by-step explanation:
Let the average score in the last 6 games be x, then average score in first 2 games is x + 5
Considering the total score of 90 solve for x the equation:
2(x + 5) + 6x = 902x + 10 + 6x = 908x = 80x = 10In the first 2 games John's score was:
2(10 + 5) = 30Write an equation in slope-intercept form that represents the data. Show ALL work.
1.)
0
1
2
Sales per
day(x)
Daily pay ($), y
100
105
110
115
11212
I
Equation
Answer:
y = 5x + 100
Step-by-step explanation:
Using the x and corresponding y values from the given table.
Let's use the coordinate (0, 100) and (1, 105)
The equation in slope intercept form is expressed as y = mx+c
m is the slope
c is the y-intercept
Slope m = y2-y1/x2-x1
m = 105-100/1-0
m = 5/1
m =5
Get the y intercept
Substitute the slope m = 5 and any point say (0, 100) into the equation
y = mx+c
100 = 5(0) + c
100 = c
c = 100
Get the required equation;
y = mx+c
y = 5x + 100
Hence the equation in slope-intercept form that represents the data is expressed as y = 5x + 100
The wolf population of a park was 200 in the year 2000. It increased by 20% from 2000 to 2005. It then increased by 15% from 2005 to 2010. What was the wolf population in the park in 2010?
Answer:
Population 2010= 276
Step-by-step explanation:
Giving the following information:
Population 2000= 200
It increased by 20% from 2000 to 2005.
It then increased by 15% from 2005 to 2010.
First, we need to calculate the population in 2005:
Population 2005= 200*1.2
Population 2005= 240
Now, for 2010:
Population 2010= 240*1.15
Population 2010= 276
Which table shows values representing a cubic function? Table A Table B Table C Table D
Answer: C
Step-by-step explanation:
On edge
Whose puppy weighed the most when the person got it? How much did it weigh? Part c
Answer:
Olivia's puppy, it weighed 5 pounds.
Step-by-step explanation:
Slope of line a is ½. What is the equation of a line that is parallel to line a? Y+½x=2 -2x+y+2=0 2x-2=y -½x+y-2=0
Answer:
The equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0
Step-by-step explanation:
A line is a polynomial function of the first degree that has the following form:
y = m * x + b
where m is the slope of the line and b is the intercept with the Y axis. The slope is the inclination of the line with respect to the abscissa axis.
In this case you know that the slope of line a is ½.
Parallel lines are two or more lines in a plane that never intersect. Two lines are parallel if they have the same slope and different y-intercepts.
You have:
y+½x=2 → y= -½x +2-2x+y+2=0 → y=2x -22x-2=y -½x+y-2=0 → y=½x + 2The line that has the same slope as line a is the last one, so the equation of a line that is parallel to line a is y=½x + 2, or what is the same -½x+y-2=0
3(2x) + 3(-1) = -21
6x - 3 = -21
What property is being used ?
Write the simplest polynomial function for each set of zeros
Zeros=4, 7 ,1
PLEASE HELP
Answer:
x^3-12x^2+39x-28
Step-by-step explanation:
(x-4)(x-7)(x-1)
(x^2-4x-7x+28)(x-1)
(x^2-11x+28)(x-1)
x^3-11x^2+28x-x^2+11x-28
x^3-11x^2-x^2+28x+11x-28
x^3-12x^2+39x-28
how many fluid ounces are in 3 quarts?
Answer: 96 fluid ounces
Step-by-step explanation:
1 quart = 32 fluid ounces
32 x 3 = 96
1 x 3 = 3
There are 96 fluid ounces in 3 quarts.
Hope this helps!
(y – 5) = 2/3 (x + 2)
Answer:
Use the slope-intercept form
m=[tex]\frac{2}{3\\}[/tex]
Step-by-step explanation:
On mountainous terrain, a semi-truck travels 2 2__3miles on 1__2gallon of fuel . How many miles can the truck travel per gallon of fuel? Use drawings or equations to show your work .
In ΔNOP, the measure of ∠P=90°, NP = 60, ON = 61, and PO = 11. What ratio represents the cosine of ∠N?
Answer:
60/61
Step-by-step explanation:
can someone find the equation plz and solve it.
i will give brainliest i need u guys to save my math grade lol :(
Answer:
$2 per Chicken and $9 per Duck
Step-by-step explanation:
the equations for the problem are as follows (x = the value of chickens and y = the value of ducks):
5x + 3y = 55
4x + 3y = 53
if you subtract the equations you would get x = 2, which means the chickens are worth $2 each
If we re-input the x that we now know as 2 and solve one of the equations for y, we will get y = 9
Answer:
If you need the cost of each duck and chicken it would be around 6 dollars per duck or chicken.
I'm not completely sure tho sorry.
What did the pig say when the farmer pulled it by the tail
Answer:
Without me you will surely die. Too much of me and like a pig you may lie. What am I?
Step-by-step explanation:
Oink Oink That ain't my tail im a male