Answers
2x +10 = 3x -6
16 = x . . . . . . . . . . . add 6-2x
Selection B is appropriate.
Related Questions
Find z such that 6.8% of the standard normal curve lies to the left of z. (round your answer to two decimal places.)
Answers
Answer with explanation:
it is given that ,6.8% of standard normal curve lies to left of z.
6.8% [tex]=\frac{6.8}{100}\\\\=0.068[/tex]
We will use z table to calculate the value of z.
First we will go on y axis in z table to see value of 0.06 and then on 0.08 on x axis.Their point of intersection will give value of z at 0.068, which is equal to 0.2483.
Value of Z ,at 6.8% ,when the curve is normal = 0.25
⇒0.25 represents area in the left of ,z=0.068.
The z-score corresponding to 6.8% in the standard normal distribution is approximately -1.48, rounding to two decimal places, ensuring 6.8% lies to the left.
To find the z-score such that 6.8% of the standard normal curve lies to the left of it,
use a standard normal distribution calculator.
For the z-score corresponding to the cumulative probability of 0.068 (6.8%).
Using a standard normal distribution calculator:
The cumulative probability of 0.068 (or 6.8%) in the standard normal distribution calculator.
find the z-score associated with this probability.
The z-score corresponding to a cumulative probability of 0.068 is approximately -1.48 (rounded to two decimal places).
Therefore, the z-score z such that 6.8% of the standard normal curve lies to the left of it is approximately -1.48.
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Jackie has a drawer with 20 buttons, each of different color. How many different ways can she choose three buttons for her bookbag?
Answers
1st - she as 20 different possible buttons
2nd - she would have 19 possible buttons
3rd-she would have 18 possible buttons
20 x 19 x 18=6840 possible ways to choose these buttons.
Can someone please help me? The measure of the reflex angle in rhombus ABCD is 260°. Find x. Thanks
Answers
But instead, we stopped at 260°. We have x° left to get to 360°.
That's 360°-x°=260°.
x=100, so the answer is E
the initial population was 50 thousand people and the population increased by 12% each year. Determine the function rule for this definition.
Answers
Explanation: Let [tex]P(x)[/tex] be the population after x years. Since 50,000 is the initial population, P(0) = 50,000. Moreover, since the population increases 12% per year,
[tex]P(x) = P(x - 1) + 12\% (P(x - 1)) \\ = P(x - 1) + 0.12(P(x - 1)) \\ \boxed{P(x) = 1.12(P(x - 1))}[/tex]
Using the preceding equation:
[tex]P(1) = 1.12(P(0)) = 50,000(1.12) \\ P(2) = 1.12(P(1)) = 1.12(50,000(1.12)) = 50,000(1.12)^2 \\ P(3) = 1.12(P(2)) = 1.12(50,000(1.12)^2) = 50,000(1.12)^3 \\. \\. \\. \\P(x) = 1.12(P(x-1)) = 1.12(50,000(1.12)^{x-1}) = 50,000(1.12)^x \\\boxed{P(x) = 50,000(1.12)^x}[/tex]
Choose the right answer. Two hundred fifty tickets are sold at a church fund raiser. If Sarah buys 15 tickets, the probability that she will win the prize quilt is .
Answers
Answer:
Her probability to win the prize quilt is 0.06, or she has a 6% probability of winning it.
Step-by-step explanation:
In statistics, a probability of 100% is represented with a 1. In this case, if Sarah would have bought the 250 tickets, she would have a probability of 1 to win the prize, as
[tex]\frac{250}{250}=1[/tex]
then, if this expression is multiplied by 100, we could say that the precentage of probability would have been 100%...
But Sarah didn't buy the 250 tickets, instead she bought 15, therefore
[tex]\frac{15}{250}=\frac{3}{50}=0.06[/tex]
which means that the probability of her winning the prize quilt is 0.06, or, if multiplied by 100, she has a 6% probability of winning the prize quilt.
Convert 15/9 to a decimal. A. 1.64 B. 1.67 C. 1.66 D, 1.69
Answers
If we're rounding to 2 decimal places, 6 will round up to 7
Therefore, B. 1.67 is your answer
The population of a particular town is given by the function P(t) = 920(1.06)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 4 years?
A: 920, 6% annually, and 1,161
B:920, 6% semiannually, and 1,466
C: 920, 0.6% per year, and 7,801
D:920, 60% semiannually, and 4,135
Answers
Selection B is appropriate.
_____
The 2 in the exponent means the growth factor 1.06 is applied twice for each increment of t, that is, twice in 1 year (semiannually).
For her cell phone plan Heather pays $30 per month plus 0.05 protects she wants to keep her bill under $60 per month with any quality represents the number of texts T Heather can't spend each month while staying within her budget
Answers
Let the number of texts be represented by T.
The we get the following function of total cost:
Total cost = 30 + 0.05T.
Since Heather wants her bill to be under $60, the total cost must be smaller than 60. We get the following
30 + 0.05T < 60
Subtract 30 from both sides.
0.05T < 30
Divide by 0.05
T < 600. Therefore Heather can send a maximum of 600 texts (and then she pays a bill of $60)
the width of a rectangle is X and the length is twice he width. if the area of the rectangle is 162, what is X?
Answers
To find the value of X in a rectangle with width X and length 2X, we can use the area formula. By solving the equation, we find X = 9, making the width of the rectangle 9 units.
Explanation:To find the value of X, we need to use the given information about the length and width of the rectangle. Let's assume the width of the rectangle is X. Since the length is double the width, it is 2X. The area of the rectangle is given as 162, so we can set up the equation:
Width × Length = Area
X × 2X = 162
Simplifying the equation, we get:
2X^2 = 162
Dividing both sides by 2, we have:
X^2 = 81
Taking the square root of both sides, we find:
X = ±9
Since the width cannot be negative, the value of X is 9. Therefore, the width of the rectangle is 9 units.
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The width of the rectangle is 9 units.
Explanation:To find the width of the rectangle, we can set up the equation for the area. The width of the rectangle is X, and the length is twice the width, meaning the length is 2X. The formula for the area is length times width, so we have X * 2X = 162. Simplifying this equation gives us 2X^2 = 162. Dividing both sides by 2 gives us X^2 = 81. Taking the square root of both sides gives us X = 9. Therefore, the width of the rectangle is 9 units.
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Fill in the blank. The number pi relates the diameter of a circle to its_____ a.circumference b.center c.radius d.chord
Answers
The answer is option A "circumference".
Reason:
circumference = pi * diameter
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
The number pi relates the diameter of a circle to its circumference. Therefore, the correct option to fill in the blank is:
a. circumference
A student taking a math class needs 6 minutes to solve each algebra problem. How many problems can the student solve in 72 minutes?
Answers
Here is your answer:
The proper answer to this question is "12 questions".
Here is How:
Just use this equation:
72/6=12
Which means the student will be able to solve 12 questions!
If you need anymore help feel free to ask me!
Hope this helps!
Final answer:
By dividing the total minutes (72) by the minutes per problem (6), we find that the student can solve 12 algebra problems in 72 minutes.
Explanation:
The student asking how many algebra problems can be solved in 72 minutes if each problem takes 6 minutes can be answered with a simple division operation. You divide the total available time by the time taken for each problem to find the number of problems that can be solved. In this case, 72 minutes ÷ 6 minutes per problem equals 12 problems.
Which is the standard form of the equation of the parabola that has a vertex of (–4, –6) and a directrix of y = 3?
Answers
focus=(-4,-15)
If focus =(a,b) and directrix y=k
the parabola is:
y=1/(2(b-k)) * (x-a)²+(b+k)/2
So y=1/(2*(-15-3))*(x+4)²+(-15+3)/2
y=-(x+4)²/36 -6
Answer:
The required equation is [tex](x+4)^2=-36(y+6)[/tex].
Step-by-step explanation:
The standard form of the equation of the parabola is
[tex](x-h)^2=4p(y-k)[/tex] .... (1)
where, (h, k) is vertex and y = k - p is directrix.
It is given that vertex of parabola is (–4, –6) and the directrix is y = 3.
[tex](-4,-6)=(h,k)[/tex]
On comparing both the sides, we get
[tex]h=-4,k=-6[/tex]
Directrix of the parabola is
[tex]y=k-p[/tex]
Put y=3 and k=-6 in the above equation.
[tex]3=-6-p[/tex]
[tex]3+6=-p[/tex]
[tex]9=-p[/tex]
[tex]-9=p[/tex]
Substitute h=-4,p=-9 and k=-6 in equation (1).
[tex](x-(-4))^2=4(-9)(y-(-6))[/tex]
[tex](x+4)^2=-36(y+6)[/tex]
Therefore the required equation is [tex](x+4)^2=-36(y+6)[/tex].
here goes another question lol oops
Answers
[tex] - (5r - 3s + 1) = - 5r + 3s - 1[/tex]
Move the negative into the brackets,
positive becomes negative while two negatives make a positive.
simplify....
-5r + 3s - 1
2. -5r + 3s + 1
3. -5r + 3s - 1
student 1 and student 3 have the equivalent equations.
Your answer is A. Student 1 and Student 3.
Trig: Use a half angle formula to find the exact value of the expression?
cos(5pi/12)
Answers
5 * 3.14 = 15.7
15.7/12 = 1.308333333
cos(1.308333333)
0.999739299
The correct answer is [tex]\frac{1}{2}[/tex].
To find the exact value of [tex]\cos(5\pi/12)[/tex] using a half-angle formula, we can follow these steps:
[tex]\cos(2\theta) = 2\cos^2(\theta/2) - 1[/tex]
Substituting [tex]\theta = 5\pi/6[/tex], we get:
[tex]\cos(5\pi/3) = 2\cos^2(5\pi/12) - 1[/tex]
[tex]\cos^2(5\pi/12) = \frac{\cos(5\pi/3) + 1}{2}[/tex]
[tex]\cos(5\pi/3) = \cos(\pi/3 + \pi) = -\cos(\pi/3)[/tex]
[tex]\cos(\pi/3) = \frac{1}{2}[/tex]
[tex]\cos(5\pi/3) = -\frac{1}{2}[/tex]
[tex]\cos^2(5\pi/12) = \frac{-\frac{1}{2} + 1}{2} = \frac{1}{4}[/tex]
[tex]\cos(5\pi/12) = \pm\sqrt{\frac{1}{4}} = \pm\frac{1}{2}[/tex]
Since cosine is an even function, we take the positive value.
[tex]\cos(5\pi/12) = \frac{1}{2}[/tex]
Therefore, the exact value of [tex]\cos(5\pi/12)$ is $\frac{1}{2}[/tex].
Complete question:
Use a half angle formula to find the exact value of the expression?
[tex]\cos(5\pi/12)[/tex]
Prepare 350g of a 2% lidocaine cream using a 1% lidocaine cream a 5% lidocaine cream
Answers
5% lidocaine -y g, 0.05y pure lidocaine
(1)0.01x+0.05y=350*0.02
0.01x g we get from1% lidocoine and 0.05y g we get from 5% lidocoine
(2) x+y=350
x g is mass 1% lidocoine, we combine it with y g 5%,
so we get x+y, and we need 350g,
so x+y should be equal 350, x+y=350
we get system of 2 equations that we need to solve to find x and y
(1)0.01x+0.05y=350*0.02
(2) x+y=350
we can solve it by substitution, find x from (2) equation
x=350-y, substitute it into (1)
instead of x we put (350-y)
0.01(350-y)+0.05y=7
3.5-0.01y+0.05y=7
0.04y =3.5
y=87.5g 5% lidocaine
b)x=350-87.5=262.5 g 1% lidocaine
c) 350g =350000 mg
Define x and y:
------------------------------------------------------------------
Let x be the amount of 1% lidocaine needed.
Let y be the amount of 5% lidocaine needed.
------------------------------------------------------------------
Construct Equations:
------------------------------------------------------------------
x + y = 350
0.01x + 0.05y = 0.02 x 350
0.01x + 0.05y = 7
------------------------------------------------------------------
Solve x and y:
------------------------------------------------------------------
x + y = 350 ------------- (Equation 1)
0.01x + 0.05y = 7 ------------- (Equation 2)
------------------------------------------------------------------
From equation 1:
------------------------------------------------------------------
x + y = 350
x = 350 - y
------------------------------------------------------------------
Substitute x = 350 - y into equation 2:
------------------------------------------------------------------
0.01(350 - y) + 0.05y = 7
3.5 - 0.01y + 0.05y = 7
3.5 + 0.04y = 7
0.04y = 7 - 3.5
0.04y = 3.5
y = 87.5
------------------------------------------------------------------
Substitute y = 87.5 into equation 1:
------------------------------------------------------------------
x + y = 350
x + 87.5 = 350
x = 350 - 87.5
x = 262.5
------------------------------------------------------------------
Find x and y:
------------------------------------------------------------------
x = 262.6g (5% lidocaine cream)
y = 87.5g (1% lidocaine cream)
------------------------------------------------------------------
Convert 350g to milligram:
------------------------------------------------------------------
350g = 350 x 1000 mg
350g = 350 000mg
------------------------------------------------------------------
Answer:
(a) Amount of 5% lidocaine needed = 87.5g
(b) Amount of 1% lidocaine needed = 262.g
(c) 350g = 350 000mg
------------------------------------------------------------------
Write an equation that represents the data in the table x 5,10,15,20 y 17,22,27,32
Answers
17-5=12
22-10=12
27-15=12
32-20=12
A basketball player made 57 out of 100 attempted free throws. What percent of free throws was made?
Answers
Hope this helps!
In the equation x=8y , what is the unit rate?
Answers
ashley measure the shell she collect she records the measurements in the chart
Answers
Without overlapping, how many college basketball courts 94ft x 50ft would fit into a football field 360ft x 160ft?
Answers
area of football field: 360 x 160 = 57600 square feet
57600 / 4700 = 12.26
so 12 basketball courts
What is the y-value when x equals -11?
y = -200 – 12(x).
Answers
Hope this helps, have a great day!
Real Question:
You Make A Table To Use AS A Quick Reference Guide. [tex]\left[\begin{array}{ccc}y = -200 -12 (x)\end{array}\right][/tex]
Use The Table Tool To Answer The Question:
[tex]\left[\begin{array}{ccc}-8&-104\\-9&-92\\-10&-80\\-11&-68\\-12&-56\end{array}\right][/tex]
What is the y-value when x equals -11?
[tex]\left[\begin{array}{ccc}y = -200 -12 (x)\end{array}\right][/tex]
Step-By-Step Explanation:
Plug In The X-Value [tex]\left[\begin{array}{ccc}y=-200-12(x)\\y=-200-12(-11)\end{array}\right][/tex]
Then You'll Multiply [tex]\left[\begin{array}{ccc}-12(x) Or -12(-11)\\132\end{array}\right][/tex]
To Find The Y-Value Simplify [tex]\left[\begin{array}{ccc}y=-200+132\\y=-68\end{array}\right][/tex]
Answer:
[tex]\left[\begin{array}{ccc}y=-200-12(x)\\y=-200-12(-11)\\y=-200+132\\ y=-68\end{array}\right][/tex]
The sum of two numbers is 45. One number is 4 times as large as the other. What are the numbers?
Answers
x = large number
y = small number
Now, set up a system of equations:
[tex]x + y = 45[/tex]
[tex]4y = x[/tex]
Solve the system. I'm going to use the second equation to substitute 'x' into the first one (x = 4y):
[tex]4y + y = 45[/tex]
[tex]5y = 45[/tex]
[tex]y = 9[/tex]
Plug that back into 2nd equation to find both numbers:
[tex]4y = x[/tex]
[tex]4(9) = x = 36[/tex]
So, x = 36 and y = 9.
We can check. 36 + 9 actually does equal 45 and 4 times 9 is 36. We match our initial criteria, so our answer is right.
The value of the variable x and y whose sum is 45 will be 9 and 36, respectively.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The sum of the two numbers is 45. One number is 4 times as large as the other.
Let the two numbers be x and y. Then the equation is given as,
x + y = 45 ...1
y = 4x ...2
From equations 1 and 2, then we have
x + 4x = 45
5x = 45
x = 9
Then the value of y will be
y = 4(9)
y = 36
The value of the variable x and y whose sum is 45 will be 9 and 36, respectively.
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15% of the school parking spaces are handicap spaces. The school has 18 handicap spaces. How many parking spaces are there?
Answers
The answer is "118".
Reason:
18 is 15% of what number=120
120-18=112
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Answer:
The answer is "120"
Step-by-step explanation:
I did it myself, and this is the answer i got :) I made sure it was correct but let me know if you have problems!
convert 82 into a fraction and decimal
Answers
82 as a decimal would be 82.00. Like money
82 into a decimal = .82
common factor for 4x+8
Answers
I need help!!! Pleasssse!!!!
The ratio of the length to the width to the height of a rectangular box of cereal is 6:2:7. The sum of the length and the width of the box is 24 centimeters. Find the surface area of the box of cereal
Answers
18 cm : 6 cm : 21 cm
The surface area (S) is given in terms of length (L), width (W), and height (H) by
S = 2(LW +H(L+W))
= 2((18 cm)*(6 cm) +(21 cm)*(18 cm +6 cm))
= 2(108 cm² +(21 cm)*(24 cm))
= 1224 cm²
The surface area of the box of cereal is 1224 cm².
A cake decorator rolls a piece of stiff paper to form a cone. She cuts off the tip of the cone and uses it as a funnel to pour decorative sprinkles into small containers. The cone has a radius of 666 cm and a height of 181818 cm. What is the volume of the cone before the end is cut off? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Answers
Answer:
V = 216 pi cm^3.
Step-by-step explanation:
how do u estimate 8.36
Answers
Example:8.4
A scale drawn on the map shows that 1 inch represents 24 miles. Of two cities are 2.25 inches apart on the map, what is the distance between them in real life?
Answers
3x - 12 + 6x + 9?/ Help Please