Answer:
585
Step-by-step explanation:
This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.
__
80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...
260/20% = 1300 . . . tourists surveyed
Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...
45% × 1300 = 585
The number of tourists who have been to India, but not China, is 585.
The seventh and eighth-grade bands held a joint concert. Together, there were 188 band members. If the eighth-grade band is 3 times as big as the seventh-grade band, how big is the eighth-grade?
Let x=7th band and let y=8th band.
a. 47 eighth-grade band students
b. 63 eighth-grade band students
c. 141 eighth-grade band students
Part B:
Write the two equations for this situation.
Answer:
c. 141 eighth-grade band students
Part B:
y = 3x
1/3y = x
Does anyone know how much does a Toyota AE86 car gets for monthly car payments??
not math-related sorry
Answer:
$464
Step-by-step explanation:
HELP ASAP I WILL GIVE YOU BRAINLEAST
WHAT IS THE EQUATION OF THE GRAPH?
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
Plug in x = 0 and you should get y = 4. Plug in x = 1 and you should get y = 7These two facts help confirm we have the correct exponential equation.
Answer: y = 4*(1.75)^x===========================================================
Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
Answer: y = 40*(1/3)^xA new car is purchased for 21,800 dollars. The value of the car depreciates at a rate of 9.5% per year. Which equation represents the value of the car after 5 years?
ur m
Using an exponential function, it is found that the equation that represents the value of the car after 5 years is:
[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the car is purchased for 21,800 dollars, and it's value deprecites 9.5% per year, hence the equation for it's value after t years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 21800(1 - 0.095)^t[/tex]
[tex]A(t) = 21800(0.905)^t[/tex]
After 5 years, the value is given by:
[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
System of Equations
Explain steps
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation. ...
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
These are all of the steps
What is the approximate measure of angle B?
Answer: D
Step-by-step explanation:
Find the value of
(-3)
Show work
Must show work!!
Answer:
16/81
Step-by-step explanation:
(-2/3)^4
expand...
-2/3*-2/3*-2/3*-2/3
multiply
numerator: -2*-2*-2*-2=16
denominator: 3*3*3*3=81
Thus the fraction is 16/81
Hope this helps!!!
What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Answer:
105
Step-by-step explanation:
150-30%= 105
Have a wonderful day!
Answer:
The total is $105
Step-by-step explanation:
To get a percentage of a number first convert the percentage to a regular number with a decimal
30.0% would be 0.3 because you move the decimal two spots to the left
you then multiple your new number 0.3 with the original price to get 45
because it is a discount it means we will reduce the price or subtract from it
150 - 45 = 105
I hope this helps
Which expression is equivalent to 16 4 6 a x , when a > 0 and x > 0?
The expression of [tex]\sqrt{[/tex](16a^4x^6) is an algebraic expression
The equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3
How to determine the equivalent expression?The expression is given as:
[tex]\sqrt{[/tex](16a^4x^6)
Expresss 16 as the square of 4
[tex]\sqrt{[/tex](16a^4x^6) = [tex]\sqrt{[/tex](4^2a^4x^6)
Evaluate the square root of each factor in the expression
[tex]\sqrt{[/tex](16a^4x^6) = 4a^2x^3
Hence, the equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
81
Step-by-step explanation:
Knowing that;
∠ EHD and ∠FHC are vertical angles.
since, ∠FHC = 81 Thus, ∠EHD = 81
Look at picture below for more information;
~Learn with Lenvy~
Answer:
81
Step-by-step explanation:
Given;
If m ∠FHC = 81 °, then what is m ∠ EHD?
Solve;
∠ EHD and ∠FHC are vertical angles.
Vertical angles ⇒ a pair of opposite angles formed by intersecting lines.
Since, ∠FHC = 81 hence, ∠EHD also = 81
[RevyBreeze]
Please help asap!!! I will give brainlist
Answer:
I believe the answer is C.
[tex] \sqrt{35} [/tex]
Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?
The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation:
I got it right on Edge.
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation it took the test
Find the mean of the data.
Pls help ASAPPPP
Answer:
the answer is 56
Step-by-step explanation:
first off you need to add every number up which adds to be 336,
then you divide by the number of pieces in the data which in this case is 6,
366 divided by 6 is 56
I HOPE THIS HELPED!
Write the vertex form of y = -x^2 + 6x + 6.
Answer:
y = - (x - 3)² + 15
Step-by-step explanation:
using the method of completing the square
y = x² + 6x + 6 ← factor out - 1 from the first 2 terms
y = - (x² - 6x) + 6
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = - (x² + 2(- 3)x + 9 - 9) + 6
= - (x - 3)² + 9 + 6
= - (x - 3)² + 15
Simplify the expression 8a - 6b -3a + 2b
Answer:
5a - 4b
Step-by-step explanation:
= 8a - 6b - 3a +2b
= 8a - 3a - 6b + 2b
= 5a - 4b
Hope it helps :)
Answer:
5a - 4b
Step-by-step explanation:
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
The area of Square 4 is a2+2ab+b2
The area of Square 5 is 2ab+c2
Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.
Express the following ratio: 18 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
3:4
Step-by-step explanation:
18inches : 2feet
18 inches: 2x12 =24 inches
18:24 - 3:4(divide by 6)
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2
Answer:
[tex]10.67\pi[/tex] OR [tex]33.49[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]
Radius = 2
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *\pi*2^3[/tex]
[tex]\frac{4}{3} *\pi*8[/tex]
[tex]10.67\pi[/tex]
OR
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *3.14*2^3[/tex]
[tex]\frac{4}{3} *3.14*8[/tex]
[tex]\frac{4}{3} *25.12[/tex]
[tex]33.49[/tex]
Hope this helps!
Jonas is using a coordinate plane to plan an archaeological dig. He outlines a rectangle with the vertices at (5, 2), (5, 9), (10, 9), and (10, 2). Then he outlines a second rectangle by reflecting the first area across the x-axis and then across the y-axis. Which is a vertex of the second outlined rectangle after completing both reflections?
Reflecting the archaeological dig implies that the dig is flipped
The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)
How to determine the vertices of the rectangleThe coordinates of the rectangle are given as:
(5,2) , (5,9) , (10,9) , (10,2)
When reflected across the x and the y axes, the transformation rule is:
[tex](x,y) \to (-x,-y)[/tex]
So, the new coordinates are:
(-5,-2),(-5,-9),(-10,-9),(-10,-2)
This means that:
The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)
Read more about reflection at:
https://brainly.com/question/4289712
Brainliest for the correct answer (If you say anything completely wrong like 98 you're getting reported): What is the area of the figure?
Answer: 578
Step-by-step explanation:
12 x 7 = 84
13 + 8 + 4 + 10 = 25
25 x 14 = 350
4 x 10 = 40
8 x 13 = 104
84 + 350 + 40 + 104 = 578
Buddy ran the same distance each day for 5 days.
Write an expression to model this situation. If
you use a variable, explain what it represents.
b. Evaluate your expression if Buddy ran 10 miles
each day.
Answer:
A.
One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.
d(x) = y = 5x
d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.
B.
Now if he ran 10 miles a day, just substitute 10 for x.
d(10) = y = 5(10) = 50
Hannah travels 6 times as many minutes to work as Raoul does. Together,
they travel for 63 minutes. How many minutes does Hannah travel? Draw
a model and write an equation to solve.
Answer:
hannah 54
raoul 9
Step-by-step explanation:
hannah _ 6x
raoul _ x
6x+x=63
7x=63
x=9
hannah _ 6×9=54
raoul _ 9
PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary
Answer:
~21.23
Step-by-step explanation:
First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.
Hope this helps!
Give me brainliest too ;)
Answer: 21.23
Step-by-step explanation:
The formula for finding the area of a circle is pi times radius squared.
Help me on this question please!
Answer:
16
Step-by-step explanation:
You're doing a subtraction problem between (x+5) and (2x+3)
(x+5) - (2x+3) =
**You need to solve for x first then plug it in to find the answer.***
(I had to break the parentheses because that is the only way to solve)
-x +8
x= -8
-8 + 5 - (-16+3)
-3 + 16 + 3
13 + 3 = 16
Answer:
-x+2
Step-by-step explanation:
(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2
40 points!! Two questions (a) and (b)!!
Answer:
(a) Kaylee earns $19.50 per hour.
(b) Kaylee earns more per hour.
Step-by-step explanation:
a)
[tex]m[/tex] = $ per hour
[tex]y = mx[/tex]
[tex](39) = m(2)[/tex]
[tex](39 = m(2)) = 19.50 = m[/tex]
b) Kaylee earns more per hour
Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.
Holding a ruler upright at arm’s distance (24 in.), Ronnie aligned the bottom of the ruler with a mark on the utility pole that was about 5 feet above the ground. He saw that the top of the pole aligned with the 6-inch mark on the ruler. Then he took 40 long strides to reach the pole. If each stride was about one yard (3 feet), then the top of the pole is about how many feet high?
Answer:
10 feet
Step-by-step explanation:
Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is
[tex]40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''[/tex].
Ratio of the height is then [tex]1440\div24 = 60[/tex].
At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.
log2 (10x+5) - log2 5 =5
PLEASE SOLVE AND SHOW WORK
THANKS A TON
Answer:
[tex]\sf x =15.5[/tex]
Step-by-step explanation:
[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=5[/tex]
[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=log_2 (32)[/tex]
[tex]\sf log_2\left\dfrac{(10x+5)}{5} =log_2 (32)[/tex]
[tex]\sf 2x+1 =32[/tex]
[tex]\sf 2x+1 -1=32-1[/tex]
[tex]\sf 2x =31[/tex]
[tex]\sf x =15.5[/tex]
Answer:
Step-by-step explanation:
[tex]log_{a}[/tex] [tex]x_{1}[/tex] - [tex]log_{a}[/tex] [tex]x_{2}[/tex] = [tex]log_{a}[/tex] [tex]\frac{x_{1} }{x_{2} }[/tex]
[tex]log_{a}[/tex] x = b ⇒ [tex]a^{b}[/tex] = x
~~~~~~~~~~~~~~
[tex]log_{2} (10x+5)[/tex] - [tex]log_{2} 5[/tex] = 5
[tex]log_{2} \frac{10x+5}{5}[/tex] = 5
[tex]\frac{10x+5}{5}[/tex] = [tex]2^{5}[/tex]
10x + 5 = 32 × 5
2x + 1 = 32
x = 15.5
Please assist. No links or your account is getting banned
9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵
Answer:
[tex]9^-^1^5[/tex]
Step-by-step explanation:
[tex]\frac{9^{-3}}{9^{12}}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]
[tex]=9^{-3-12}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]
[tex]=9^{-15}[/tex]
Answer [tex]=9^{-15}[/tex]
~Learn with Lenvy~
Deondre drops a nickel from a balcony that
is 125 meters in the air. The function
y = -512 + 125 can be used to represent y, the
height of the coin in meters after t seconds.
Write and solve an equation to find the time it
will take for the coin to hit the ground.
The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function
It will take 5 seconds for the coin to hit the ground
How to determine the time the nickel hits the ground?
The function is given as:
[tex]y = -5t^2 + 125[/tex]
When the nickel hits the ground, the value of the function is:
y = 0
So, we have:
[tex]-5t^2 + 125 = 0[/tex]
Subtract 125 from both sides
[tex]-5t^2 =- 125[/tex]
Divide both sides by -5
[tex]t^2 =25[/tex]
Take the square root of both sides
[tex]t = 5[/tex]
Hence, it will take 5 seconds for the coin to hit the ground
Read more about quadratic functions at:
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The function f(x) is defined below. What is the end behavior of f(x)?
f(x) = x^4– 47x² + x^3– 45x + 450
Answer:
Third option
Step-by-step explanation:
Since our leading coeffeicent has a leading even degree, and a positive number,
The end behavior will as
as x approaches oo, and -oo, f(x) approaches oo.