Answer:
Bus = 16 Tourists and Taxi = 4 Tourists
Total = 20 Tourists
Step-by-step explanation:
According to the Question,
Given, 80% of the tourists in a group took a bus and 20% took a taxi. Thus the Ratio of Tourists Travel by Bus toTaxi is 4x:1x.The bus fare per person is 40% less than the taxi fare per person. And Also Given that the bus fare per person is $3 Thus, The Taxi fare per person would be $5.All together they paid $68 for the tour transportation.
4x × 3 + x × 5 = 6812x × 5x = 6817x =68x=4And, the Ratio of Tourists Travels by Bus toTaxi is 4x:1x . So,the Tourists Travel by Bus to Taxi is 16 and 4 Respectively . Total = 20 Tourists are in the Group.
What pattern can you use to find other terms of the sequence given below? 14, 6, -2, -10, -18, … Add _________ to the previous term to find the next term
Answer:
Add -8
Step-by-step explanation:
Take the second term and subtract the first term
6-14 = -8
Check with the third and second terms
-2 -6 = -8
We are subtracting 8 from each side
(or adding -8)
Step-by-step explanation:
14, 6, -2, -10 , -18
ok so if you are starting at 14 then you would be add -8
14-8=6
6-8=-2
so on and so on..
But if you are starting from -18 then you would add 8
-18, -10,-2, 6, 14
-18+8=-10
-10+8=-2 so on and so on
so either one of those depending on which number your starting with
A right triangle as shown below
Answer:
sin a = 7/25
cos a = 24/25
tan a = 7/24
Step-by-step explanation:
Trig. How wonderful. I get tripped up on these types of problems some times, so I decided to try to help! To start, write out the three ratios.
SOH (sine=opposite/hypotenuse) CAH (cosine=adjacent/hypotenuse) TOA (tangent=opposite/adjacent)
Then, label the triangle with “hypotenuse” “adjacent” and “opposite.” This helps us correctly use and find the raitos. Then, use these ratios to find out the ratios of A!
sin a = 7/25
cos a = 24/25
tan a = 7/24
If needed, just divide the ratios to get their decimal form!
Ayuda plissss es para hoy
Answer and Step-by-step explanation:
1.
First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]
2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex] <- This is the answer. Esta es la respuesta.
2. First, combine everything in the first parenthesis, then multiply by the number on the outside.
Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.
[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]
[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1 <- This is the answer. Esta es la respuesta.
3. Make the fractions have the same denominator, then add, then multiply by 40.
Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.
[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]
[tex]\frac{47}{40}[/tex] × 40 = E) 47 <- This is the answer. Esta es la respuesta.
I hope this helps! #TeamTrees #PAW (Plant And Water)
¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)
Translate the following phrase to a mathematical expression, and then evaluate the expression for n = 24.
the quotient of a number and four
O 4 n; 96
O n / 4; 6
O 4 / n; 7
O n / 4; 28
Answer:
B. n / 4; 6
Step-by-step explanation:
Let
n = the unknown number
the quotient of a number and four
= n/4
When n = 24
The expression becomes
= n/4
= 24/4
= 6
B. n / 4; 6
Answer:
I am a boy all bad girls co me.
roi-dfwr-bxc
There are 6 students sitting on the bleachers and 15 students sitting on the floor. What is the ratio of the number of students sitting on the bleachers to the total number of students?
what is the estimate product of 345 and 34?
Answer:
7000
Step-by-step explanation:
Complete the statement
Answer:
<RQS = <RSQ
Step-by-step explanation:
IRQ = RS, then QRS is an isosceles triangle and the base angles are equal
<RQS = <RSQ
anyone help with this math question please dont geuss
Answer:
For each ticket sold they earned 3 dollars
Step-by-step explanation:
6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2
Answer:
C. a = 6√3, b = 12, c = 6√2
Step-by-step explanation:
First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:
cos(60°) = 6/b
0.5 = 6/b
b = 6/0.5
b = 12
Now we can find a using the Pythagorean theorem:
b² = 6² + a²
12² = 6² + a²
144 = 36 + a²
a² = 144 - 36
a² = 108
a = √108
a = 6√3
And now we can find c using cos again:
cos(45°) = c/b
√2/2 = c/12
c = 12•√2/2
c = 6√2
Aline has a slope of -3 and a y-intercept of 3
what is the x-intercept of the line?
Answer:
(1,0)
Step-by-step explanation:
y = -3x+3
simple, to find the x-intercept, what does x equal for y to be 0?
when x is 1, y equals 0, so the x-intercept would be at (1,0)
can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1
Step-by-step explanation:
everything can be found in the picture
Find value of angle w
Answer:
w = 134°
Step-by-step explanation:
w and 46° are adjacent angles and sum to 180° , that is
w + 46° = 180° ( subtract 46° from both sides )
w = 134°
Answer:
134 degrees
Step-by-step explanation:
These are known as supplementary angles, or two angles that add up to 180 degrees. We know they add up to 180 degrees because they both lie upon the same straight line.
Using this information, we can take:
180 = 46 + w
134 = w
134 degrees
(x^2)^3÷x^6 HELLLLP
Answer:
x
Step-by-step explanation:
(x²)³ ÷ x⁶
x⁶ ÷ x⁶
x
What is the area of the rectangle below? 8 17 O A. 68 sq. units O B. 25 sq. units O C. 136 sq. units O D. 50 sq. units
Answer:
136 sq units
Step-by-step explanation:
area = length * width
a = 17 * 8
a = 136 sq units
The area of the rectangle is given by the equation A = 136 units²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Let the length of the rectangle be L
Now , the value of L = 17 units
Let the width of the rectangle be W
Now , the value of W = 8 units
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle A = 8 x 17
Area of rectangle A = 136 units²
Therefore , the value of A is 136 units²
Hence , the area of rectangle is 136 units²
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Find a point-slope form for the line with slope 1/5 and passing through the point (-6,-4)
Answer:
(y +4) = 1/5( x +6)
Step-by-step explanation:
Point slope form is
(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line
(y - -4) = 1/5( x - -6)
(y +4) = 1/5( x +6)
During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?
I got two answer when I solved it but I’m not sure which one is correct
Here what I got
For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5
I’m not sure if I’m correct or which is the right answer can someone expían ?
Answer:
profit(n) = n * .50
Profit(10) = 5.00
Step-by-step explanation:
Profit = amount of candy bars sold * profit per candy bar
profit(n) = n * .50
Let the number of candy bars sold be 10 ( n=10)
Profit(10) = 10 * .50
= 5.00
When you added you only added 9 .50 terms which is why you only got 4.50 for your answer.
wht is 515 ÷ 41 in standard algorithm?
Answer:
12 r 23
Step-by-step explanation:
for me how I got it was basically by dividing 515 by 41 or by seeing how many time 41 can go into 515
Answer:
12.560976 and the .560976's repeat over and over, so there should be a repeating bar over those numbers
Step-by-step explanation:
calculate the volume of a cylinder with a base radius 3.5cm and height of 5cm.
[tex]\pi = 22 \div 7[/tex]
There is a relationship between the total cost of renting a costume and the number of hours the costume is rented.
For 2 hours, the total cost is $50
For 5 hours, the total cost is $80
What type of variation is this relationship [ Direct or Partial] and what is the initial value?
Answer:
this means that for just an hour or 2 you're going to pay $25/hour which would be the initial value...but if you keep it for 5 hours you only pay $16/hour...the more you buy the less you pay per thing you're buying. ...this is a partial relationship, because there is an initial value greater than 0, and has a constant rate of change. a direct relationship would be when one variable did affects the other, meaning when one changes, so does the other ....it would mean the price got cheaper by a certain amount with every hour added ...in this example, the price doesn't get cheaper until hour 5, meaning the initial value is affected by the variable of hours rented...but is not a constant change, it is a partial change because it only changes under certain circumstances, (5 hours) rather than changing constantly with each passing hour....
A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used to represent the data?
The correct answer is the Additive rate of change.
We have given that,
A data set contains an independent and a dependent variable.
Let x be the independent variable and y be the dependent variable.
To write the relationship we will have :
y = kx + c
Where k and c are constants.
In the case of a line, the constant k is the gradient.
A multiplicative change is a log form and it is given by :
What is the exponential form?Y = Ck^x
The relationship is not linear but exponential.
The correct answer is the Additive rate of change.
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Find the equation of the straight line passing through the point (0,5)
which is perpendicular to the line
y = 5 x + 2
Answer:
y = - [tex]\frac{1}{5}[/tex] x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 2 ← is in slope- intercept form
with slope m = 5
Given a line with slope m then the slope of the line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
The line crosses the y- axis at (0, 5 ) ⇒ c = 5
y = - [tex]\frac{1}{5}[/tex] x + 5 ← equation of perpendicular line
Answer:
y = -x/5 + 5
Step-by-step explanation:
Equation of a line L : y=mx+b perpendicular to another line L1 through a point P(p,q)
Given :
L1 : y = 5x+2
P : P(p,q) = P(0,5)
Solution :
Slope of L1 = 5. For L to be perpendicular, product of slopes = -1 =>
m*5=-1, or m = -1/5
Since L passes through P(0,5), using the point slope form of the line L :
L : (y-5) = -(x – 0) / 5
L : y = -x/5 + 5
Help me besties
Find the measure of each angle in a regular 55 sided polygon.
[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]
A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.
Answer:
$35
Step-by-step explanation:
1-2/7=5/7 (remaining money left after shopping)
2/5×5/7=2/7 (amount of money lost)
5/7-2/7=3/7 (amount of money she has now)
3/7=$15
1/7=$5
7/7=$35
Hence, total amount of money she has before she went shopping=$35
hope it helps:))))
or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
What is the arithmetic mean of the following numbers?
8, 1, 2, 6, 1, 48, 1, 2, 6, 1, 4
Answer:
7.3 if 48 is a number (I'm not sure if you meant 4,8 or 48)
4 if you meant 48 to be separate
Step-by-step explanation:
Mean means average so you add up all the numbers then divide the answer by how many numbers there are, so 44/11=4
someone please help please im begging someone help me ASAP!!! i’m struggling
Answer:
JK--- TU
KL--- UV
JL---TV
Answer:
JK- TU , KL-UV , JL-TV
Step-by-step explanation:
hope this helps
Can someone please help me!I'm struggling!
HELP PLEASE THIS IS DUE TODAY!
Answer:
13.76
Step-by-step explanation:
Find the area of the entire square (8 x 8 = 64)
Find the area of the circle (3.14 x 4^2 = 50.24)
Subtract the two (64 - 50.24 = 13.76)
D
А
с
B
ABC measures 115º and Z DBC measures
70°. What is the measurement of ZABD?
Answer:
45 = ABD
Step-by-step explanation:
ABC = ABD + DBC
115 = ABD + 70
Subtract 70 from each side
115 - 70 = ABD
45 = ABD
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos runs along the shore for a while and then jumps into the water and swims from there directly to the child. Santos can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Santos run before jumping into the water in order to save the child
Answer:
Santos should run approximately 36.145 meters along the shore
Step-by-step explanation:
The given parameters are;
The distance along the shore of the child = 50 meters
The distance from the shore of the child = 60 meters
The rate at which Santos can run = 4 m/s
The rate he can swim = 0.9 m/s
Let 'x' represent the distance he runs along the shore
We have;
The time he spends running on the shore, t₁ = x/4
The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9
The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9
To find the maximum, we have;
dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0
1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0
Simplifying using a graphing calculator gives;
[tex]\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}[/tex]
1519·x² - 151900·x + 3505900 = 0
x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)
x ≈ 63.86 m or x ≈ 36.145 m
We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same
Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child
