The required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.
Given that,
Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2.50 plus $3.50 per mile. The total fare was $79.50.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of miles be m,
Cost of the taxi of m miles = 3.50m
according to the question,
2.50 + 3.50m = 79.50
Thus, the required equation that would be used to determine m, the number of miles in the taxi ride is 2.50 + 3.50m = 79.50.
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please help!
maths geometry
Step-by-step explanation:
trapezium means especially
AD || BC
AC = BC tells us that ABC is an isoceles triangle (both legs are identically long, which makes also their angles with their baseline AB equal).
therefore, A1 = B = 80°.
and because the sum of all angles in a triangle is always 180°, we get
180 = 80 + 80 + C1
C1 = 20°
(e)(1)
because of the law of a line intersecting parallel lines with the same angles, and AC is intersecting the parallel lines AD and BC, we know that
C1 = A2 = 20°
(e)(2)
because also the sum of all angles around a single point on one side of a line is 180°, we know D1 + D2 = 180°.
we also know that D2 is an angle in an equilateral triangle (that means all 3 sides are equally long, and therefore all 3 angles are equal too = 180/3 = 60°) and therefore
D2 = 60°.
therefore, D1 = 180 - 60 = 120°.
so, for the triangle ACD we have
180 = A2 + D1 + C2 = 20 + 120 + C2
C2 = 40° = 2×20 = 2×C1
(f)(1)
a kite is a quadrilateral, and as such the sum of all angles is 360°.
again remember the symmetry of a kite, so the angles at H and at F must be equal.
H = F = x
so, we have
360 = 110 + 50 + H + F = 110 + 50 + 2x
200 = 2x
x = 100°
(f)(2)
after drawing EG we see that this line splits the kite into 2 equal (ahem, congruent) triangles due to the symmetry of a kite exactly along that line.
and that splits both angles E and G in half for each of the triangles.
again, the sum of all angles in a triangle is 180°, so
180 = 110/2 + 50/2 + x = 55 + 25 + x = 80 + x
x = 100°
if a = 2 + i, and b = 3 -2i, what is a/b?
Answer:
75-79 i87
Step-by-step explanation:
12x-4
————
2
Simplify
Answer: 6x-2 ==> option 4
Step-by-step explanation:
(12x-4)/2=
12x/2 - 4/2= 6x-2 ==> option 4
Answer:
Step-by-step explanation:
Can Any one help me on this and explain it?
Answer: to be honest looks kinda hard
Step-by-step explanation:
I think both are 4
mr keon spent 5/8 of his salary of
2 416.00 on food,rent,clothes and transport how mush money did he spend
The salary Mr. Keon spent 1510 on food, rent, clothes, and transport.
The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
If y is the amount of money Mr. Keon spent on food and clothes and x is Mr. Keon's salary.
Then the linear function for the relation between x and y is:
y = ( 5/8) × (x)
y = (5/8)x
The salary of Mr. Keon is 2416.
Now, Mr. Keon spent 5/8 of his salary on food, rent, clothes, and transport.
Let x be the money she spent.
Then,
x = 5/8 of Mr. Keon's salary
x = ( 5/8 ) × 2416
x = ( 2416 × 5 ) / 8
x = 12080 / 8
x = 1510
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Members of a soccer team raised $2143.50 to go to a tournament. They rented a bus for $888.50 and budgeted $62.75 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.
Equation:
Answer:x=
The equation to determine the number of players the team can bring to the tournament is xx = (2,143.50 - 888.50)/62.75.
What is an equation?An equation is a mathematical statement that shows that two or more mathematical expressions are equal.
Equations express the equality of mathematical expressions by using the equation mark (=).
Data and Calculations:The total amount raised for the tournament = $2,143.50
The amount for renting a bus = $888.50
The cost of budgeted meals per player = $62.75
The equation to determine xx is the number of players the team can bring to the tournament (xx = (2,143.50 - 888.50)/62.75.
Check:
xx = (2,143.50 - 888.50)/62.75
xx = 1,255/62.75
xx = 20
Thus, the equation to determine the number of players the team can bring to the tournament is xx = (2,143.50 - 888.50)/62.75.
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A package of 88 batteries costs $ 4 . 724.72 .
What is the cost per battery?
We get that the cost of the battery is $ 8.24 per battery.
We are given that the cost of 88 batteries = $ 724.72
We need to find the cost of one battery.
We will do this by diving the cost of 88 batteries by 88.
Using division, we get that:
cost of one battery = $ 724.72 ÷ 88
Simplifying the expression, we get that:
cost of one battery = $ 8.24 per battery.
Therefore, we get that the cost of the battery is $ 8.24 per battery.
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Larry weighs 120 pounds and rides his bike at an average speed of 12 miles per hour. Jason weighs 90 pounds and rides his bike at an average speed of 9 miles per hour. Larry and Jason start at the same place and ride their bikes in opposite directions. How far apart, in miles, will Larry and Jason be after riding their bikes for 10 minutes? And Identify the information that is NOT needed to determine how far apart Larry and Jason will be after riding their bikes for 10 minutes.
After riding their bikes, Larry and Jason will be 3.5 miles apart after 10 minutes of their start.
We have Larry and Jason riding their bikes at the speed of 12 miles/hr and 9 miles/hr respectively in opposite directions.
We have to determine how far apart, in miles, will Larry and Jason be after riding their bikes for 10 minutes.
How will you calculate the distance traversed by a body ?The distance travelled can be calculated using the formula -
distance = speed x time
According to the question -
Average speed of Larry = 12 miles/hr
The distance covered by Larry in 10 minutes = d [1] = 12 x 10/60 =
2 miles.
Average speed of Jason = 9 miles/hr
The distance covered by Jason in 10 minutes = d [2] = 9 x 10/60 =
1.5 miles.
Distance between Jason and Larry after 10 minutes -
d[1] + d[2] = 2 + 1.5 = 3.5 miles.
Hence, Larry and Jason will be 3.5 miles apart after 10 min of riding in the opposite directions.
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Does 8 over 10 plus 7 over 100 represents 0.87
Answer: Yes because it equals 87/100 which in decimal form is 0.87.
Step-by-step explanation:
A plastic boulder was launched from a second-floor window, using a catapult. The function below represents the height of the
plastic boulder from the ground, h(t), in feet, over time, t, in seconds.
h(t) = -2x² + 2x + 40
How many seconds did it take for the plastic boulder to hit the ground?
Answer:
5 seconds
Step-by-step explanation:
Given the height function h(t) = -2x² + 2x + 40, you want the positive value of t such that h(t) = 0.
SolutionThe given function can be factored as ...
h(t) = -2(x -5)(x +4)
This will be zero when the factors are zero:
x -5 = 0 ⇒ x = 5
x +4 = 0 ⇒ x = -4
The positive value of t for which the height is zero is t = 5.
It took 5 seconds for the plastic boulder to hit the ground.
__
Additional comment
There are several methods available for factoring the equation. One is to factor out the leading coefficient, then factor the remaining quadratic.
-2(x² -x -20)
To factor this, you're looking for factor pairs of -20 that have a sum of -1.
-20 = -20(1) = -10(2) = -5(4)
The last of these, {-5, 4} has a sum of -1. These are the constants that go into the binomial factors.
5 thousands equals how many tens
What is the remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3)?
The remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3) is 54
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the remainder?The quotient expression is given as
(2x^(3) + 2x^(2) - 9x + 9) -:- (x+3)
Set the divisor of the expression to 0
So, we have
x + 3 = 0
Evaluate the value of x
So, we have
x = -3
Substitute 3 for x in 2x^(3) + 2x^(2) - 9x + 9
So, we have
2(3)^(3) + 2(3)^(2) - 9(3) + 9
Evaluate the expression
So, we have
54
Hence, the remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3) is 54
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1.8x7+3 (1 point)
o 67
o 80
o 59
o 18
I am a two digit multiple of eleven. I am not odd. My digits, when multiplied, make a cube and a square out of me. What number am I? (30 pts) Explain and prove your answer. (70 pts)
The digit that when multiplied, make a cube and a square out of the number is 88.
How to calculate the value?It should be noted that this has to do with mental reasoning.
It should be noted that 8 × 8 = 64. This is the square of 8.
Also, it should be noted that 4 × 4 × 4 = 64. This gives the cube value.
Therefore, the number is 88.
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former minnesota vikings quarterback brett favre throws a football at a speed of 35 meters per second . if the weight if the football is 0.4 kg, what would the kinetic energy of brett favre's pass be?
The kinetic energy of brett favre's will be 245 J.
To accelerate Associate in Nursing object, we've to use force. to use force, we want to try to to work. once work is completed on Associate in Nursing object, energy is transferred, and also the object moves with a replacement constant speed. we have a tendency to decision the energy that's transferred K.E., and it depends on the mass and speed achieved.Kinetic energy of Associate in Nursing object is that the live of the work Associate in Nursing object will treat virtue of its motion.Kinetic energy may be a scalar amount, and it's entirely represented by magnitude alone and is given by K.E = 1 /2 mv² .....(1) where "m" is that the body’s mass, and "v" is that the body’s speed.It is given that speed is 35 meters per second and mass of football is 0.4 kg .
Using equation (1) , we get
K.E = 1 /2 (0.4)(35)²
= 490 / 2
= 245 J
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Use function notation to write the equation of the line.
please help
Answer:
f(x) = -3/2 x - 2
Step-by-step explanation:
The line rises to the left so the slope is negative, also:
the slope of the line is -3/2 and the y-intercept is at (0, -2)
Question 5(Multiple Choice Worth 2 points)
(Multi-Step Percent Problems MC)
Oliver borrowed $2,500 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 20% for 3 months Calculate the simple
interest using /-prt.
O $60
O$125
O$1,250
O$1,500
The 20% rate the bank borrowed Oliver the loan for 3 months gives an interest of $125.
How can the simple interest be calculated?The amount Oliver borrowed = $2,500
The interest rate applied to the loan = 20%
Required: To calculate the simple interest using the formula, I = P•R•T
Where;
I = The simple interest
P = The principal borrowed = $2,500
T = The time or loan duration = 3 months = 1/4 year
R = The rate at which the loan is applied = 20% = 0.2
Therefore;
I = $2,500 × 0.2/year × 3/12 year = $125
The correct option for the interest paid on the loan is therefore;
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Answer:
125
Step-by-step explanation:
on a map, two cities are 5 1/2 inches apart. the map uses a scale of 2 inches =75 miles
what is the actual distance between the two cities?
Answer:
187.5 miles
Step-by-step explanation:
We can use the rationing method to solve for this problem.
2 inches on map = 75 miles actual distance
1 inch on map = (75 ÷ 2) = 37.5 miles actual distance
5.5 inches on map = (37.5 × 5) = 187.5 miles actual distance
Please help me on this one’
The camera Melissa wanted for her birthday is on sale at 44% off the usual price. The amount of the discount is $96.80. What was the original price of the camera?
The original price of the camera is $220.00 based on the fact that discount of 44% is $96.80
What portion of the original price is the discount?
The discount of $96.80 in dollar terms, represents 44% of the original of the camera, in other words, we can determine the 1% of the original price of the camera by dividing the discount of $96.80 by 44
1% of the original price of the camera=$96.80/44
1% of the original price of the camera=$2.20
100% of the original price=1% of the original price of the camera*100
100% of the original price=$2.20*100
100% of the original price=$220.00
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Please help! How are you supposed to fill in something that isnt there? If you took the derviative of x wouldn't it be one?
Answer:
f'(5) = 1
Step-by-step explanation:
You are right. The derivative of f(x) = f'(x) = 1 a constant
If you plot y = f'(x) = 1 it will be a vertical line passing through x = 1 (See graph)
This means f'(x) is constant and equal to 1 for all values of y
So whether it is f'(5) or f'(100) the value = 1
f'(5) = 1
Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
According to the statement,
if B bisects AC ⇒ AB = BC
then, B is the midpoint.
The inverse of this will be-
if B is the midpoint of AB ⇒ AB = BC
then, B bisects AB
This can be written as-
If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
Thus, option 3 is the correct answer.
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Your question was incomplete. Check below for full content-
Which statement is the contrapositive of the conditional statement:
Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.
2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.
3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.
what is 99 divided by 3
Answer: 33
Step-by-step explanation:
3*33=99
Answer: 33
Step-by-step explanation:
9/3 = 3
90/3 = 30
99/3 = 33
What percent of a circle is 2/3 of a circle?
Answer: 66.66%
Step-by-step explanation:
1=100%
2/3=
1*2/3=
100%*2/3=
200%/3=66.66%
The length of a shadow of a building is 10 m. The distance from the top of the building to the tip of the shadow is 26 m. Find the height of the building
Answer:
The height of the building is 24m
Step-by-step explanation:
This can be solved using the Pythagorean theorem
which states that the three sides of a right triangle are related by the equation
[tex]c^2 = a^{2} + b^{2}[/tex] (see figure)
where c is the hypotenuse and a, b are the other two sides
Here we have c = the distance from the top of the building to the tip of the shadow = 26m
One side, the length of the shadow ie b = 10 m
So we have
[tex]26^2 = a^2 + 10^2[/tex] where a is the height of the building
Switch sides to get
[tex]a^2 + 10^2 = 26^2[/tex]
[tex]a^2 + 100 = 676[/tex]
Subtract 100 from both sides
[tex]a^2 = 676 - 100 = 576[/tex]
[tex]a = \sqrt{576}[/tex]
a = 24
The height of the building is 24m
What’s the coefficient in this expression, 12x+z^4.
12
x
z
4
Answer:
12 is the coefficient.
Step-by-step explanation:
What is the value of the quantity negative one sixth cubed all raised to the power of negative 3? 10,077,696 1 −1 −10,077,696
Answer:-20 238
Step-by-step explanation:
Answer: The answer is not that
Step-by-step explanation:
The answer would be 1.
NO LINKS!! Please help me
Answer:
[tex]\textsf{b)} \quad -\dfrac{\sqrt{7}}{4}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.H is the hypotenuse (the side opposite the right angle).[tex]\textsf{If}\; \cos(\theta)=-\dfrac{3}{4} \implies \sf A=3 \; \textsf{and} \; H=4.[/tex]
Use Pythagoras Theorem to calculate the length of the opposite side:
[tex]\sf \implies O^2+A^2=H^2[/tex]
[tex]\implies \sf O=\sqrt{H^2-A^2}[/tex]
[tex]\implies \textsf{O}=\sqrt{4^2-3^2}[/tex]
[tex]\implies \textsf{O}=\sqrt{7}[/tex]
Therefore, substituting the values of O and H into the sine ratio:
[tex]\implies \sin\theta=\dfrac{\sqrt{7}}{4}[/tex]
As the terminal side of the angle is in Quadrant III, and sine is negative in Quadrants III and IV, the exact value of sin(θ) is:
[tex]\implies \implies \sin\theta=-\dfrac{\sqrt{7}}{4}[/tex]
someone please help!
Answer:
4a + 2b + 5
Step-by-step explanation:
4a−1+2b+6
=4a+−1+2b+6
Combine Like Terms:
=4a+−1+2b+6
=(4a)+(2b)+(−1+6)
=4a+2b+5
3. During a school trip, Class 6 students of a school saw the sign shown below at the entrance of an amusement park ride. Which of the following can be the MAXIMUM number of these students who can take the ride at the same time?
Sign
The Lazy Poseidon Maximum Capacity 1000 kgs Have Fun!
a. 5
b. 20
c. 50
d. 100
Answer:
50
explanation:
1000 divided by 50 = 20
One person can at least be 20 kg.
20 students can ride in one turn
The maximum number of these students who can take the ride at the same time will be 50. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
During a school trip, Class 6 students of a school saw the sign shown below at the entrance of an amusement park ride.
The average weight of the student is 20 kg.
The Lazy Poseidon Maximum Capacity 1000 kgs Have Fun!
The maximum number of these students who can take the ride at the same time will be
⇒ 1000 / 20
⇒ 50
The maximum number of these students who can take the ride at the same time will be 50. Then the correct option is C.
The missing sentence is given below.
The average weight of the student is 20 kg.
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