Answer:
5 + 2(3 + 2x) = x + 3(x + 1)
solve the proportional equation
5/12 = x/15
Answer: 6.25.
Step-by-step explanation:
Let's put your question into a proper proportional form, because it is a ratio that is equal.
[tex]\frac{5}{12} = \frac{x}{15}[/tex]
To solve proportions, you have to cross-multiply in the direction that has numbers, which is 5 and 15, then divide to 12.
[tex]5 * 15 / 12 = 6.25[/tex]
The answer you should get by doing this is 6.25.
Answer:
x=6.25
Step-by-step explanation:
Cross multiply
5/12=x/15
12*x=15*5
12x=75
Divide both sides by 12 to isolate the variable x
x=6.25
Or, multiply both sides by 15 to "reverse" the division being done to x
5/12=x/15
15*5/12=x/15*15
6.25=x
2
Which statement explains why 49 is a perfect square?
O
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 is between 36 and 64.
49 is equal to 7 times 7
O
Answer:
49 is equal to 7 times 7
Step-by-step explanation:
1. The point (4, -2) is reflected across the y - axis.
What is the coordinates of the point after the reflection?
2. The point (7, -4) is reflected across the x - axis.
What is the coordinates of the point after the reflection?
Final answer:
The reflection of point (4, -2) across the y-axis is (-4, -2), and the reflection of point (7, -4) across the x-axis is (7, 4).
Explanation:
When a point is reflected across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (4, -2) across the y-axis is (-4, -2).
Similarly, when a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains unchanged. This means the reflection of the point (7, -4) across the x-axis is (7, 4).
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T-shirt is launched with an initial upward velocity of 78 feet per second. The hight of the t-shirt (h) in feet after t seconds is given by the function h=-16t^2+78t+5. How long will it take the T-shirt to reach its maximum height? What is the maximum height? What is its maximum height?
help me guys 64−(3y+8y+y)÷40=37
Answer: -118
Step-by-step explanation:
first multiply by 40. 37x 40 is 1480. No subtract 64 from both sides (1416). Multiply both sides by negative one to make the parentheses positive. -(1416)
on the inside that would be 12y so divide -1416 by 12 which is -118
I hope that's right!! :)
NOTE it isn't -118 sorry!!! I didn't see that in the original post
An automobile insurance company claims that teenage drivers save on average $490 per year when compared to the same coverage from another company, with a standard deviation of $65 per year. Natalia is a teenager and a customer of this company and her average savings was $470 per year. What is the z-value for Natalia’s savings rounded to the nearest hundredth?
Question 1 options:
a)
The z-value is -0.90.
b)
The z-value is 0.90
c)
The z-value is 0.31.
d)
The z-value is -0.31.
Answer:
d) The z-value is -0.31
Step-by-step explanation:
-Given that Natalia's saving is $470, mean claim amount is $490 and the standard deviation is $65
-Let Natalia's savings be X
#The z-value is calculated using the formula:
[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{470-490}{65}\\\\=-0.30\approx -0.31[/tex]
Hence, Natalia's z-value is -0.31
Hailey wants to buy a new pair of Vans. She found them on-line for $70. If the site is offering 20% off how much are the new Vans?
Answer:
$56
Step-by-step explanation:
Answer:
56 dollars
Step-by-step explanation:
20% is 14 dollars so 70 (the original price) minus 14 is 56
The number 50 is 5 times as many as 10?
Answer:
yes you are correct 50 is 5 times as many as 10 because 10 times 5 is 50 thank me later
Step-by-step explanation:
The statement is indeed correct: 50 is 5 times as many as 10. This understanding comes from the powers-of-ten notation system. We can also relate this to the concept of order of magnitude; the order of magnitude of 50 is 10², providing an approximation of its size in powers of ten.
Explanation:The question is asking if the number 50 is 5 times as many as 10. In mathematics, if you multiply 10 by 5, you do get 50, so the statement is indeed correct. This concept is part of multiplication and understood by using the powers-of-ten notation system, which is based on increases of ten.
The powers-of-ten notation system is the basis of our counting system, where each digit's place is ten times greater than the digit to its right. This notation system is used because humans have ten fingers and started counting with them.
An interesting approach is to relate this to order of magnitude. The order of magnitude of 50 is 10² because it's closer to 10² (100) than 10³ (1000). The order of magnitude only changes when you pass the square root of 10 (~3.16). Since 5 is greater than 3.16, when you multiply it by 10, it surpasses 10² (100), giving the order of magnitude as 10³. This is slightly off from the actual value of 50, illustrating how order of magnitude provides an approximation, not an exact value.
Learn more about Multiplication and Powers-of-Ten Notation here:https://brainly.com/question/32699035
#SPJ2
Ms. Roth has made 200 headbands and is deciding what price to charge for them.
She knows that she will sell more if the price is lower. To estimate the number she can
expect to sell, she uses the function N defined as N(p) = 200 – 1.5p, where p is
the price in dollars.
Which choice describes a function, S(p), that models the total sales in dollars she can
expect?
Answer:
I THINK:
There will be 8 grams left after 36 minutes.
Step-by-step explanation:
A half-life is how long it takes for half of the amount to go away. in this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.
36mins/16mins = 2 half lives.
now we can raise 1/2 to the power of how many half lives we have (2). then we multiply that by the amount in the sample.
(1/2)^2 * 36
1/4 * 36
8 grams
for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranberry juice. what is the constant of proportionality?
Answer:
4
Step-by-step explanation:
If two variables are proportional then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
where, k is constant of proportionality.
The given equation is
[tex]s=4c[/tex] ...(ii)
where,
s = number of cups of seltzer.
c = cups of cranberry juice.
On comparing (i) and (ii), we get
Independent variable: [tex]x=c[/tex]
Dependent variable: [tex]y=s[/tex]
Constant of proportionality: [tex]k=4[/tex]
Therefore, the constant of proportionality is 4.
Hello ya'll. I have a quick question to ask ya'll.
Question: Let be the middle number of three consecutive integers. Write an expression for the sum of these integers.
Sum of the integers = ___
Answer:
[tex]3n[/tex]
Step-by-step explanation:
If the initial number is n, one less than n is n - 1, and one more than n is n + 1. so we have:
[tex]n - 1 + n + n + 1=3n[/tex]
At first I thought this answer was too easy, so I tried for n is 6.
[tex]3*6=18\\5+6+7=18[/tex]
This is really cool! Hope this helps!
Given h(x) = x2 – 5x + 7, find the following.
a. h(2)
b.h(-5)
c. h(-8)
Answer:
Step-by-step explanation:
hello :
h(x) = x² – 5x + 7
h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21
h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57
h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111
Which of the following is the linear parent function?
A. F(x) = x
B. F(x) = x + 1
C. F(x) = 1/x
D. F(x) = x^2
Option A, F(x) = x, is the correct linear parent function because it represents a straight line with a slope of 1 that passes through the origin.
The linear parent function is the simplest form of a linear equation, which is described by a straight line with a slope of 1 and goes through the origin (0,0) on a coordinate plane. Among the options given, the correct answer is A. F(x) = x. This function represents a straight line that has a slope (gradient) of 1 and passes through the origin, making it the parent function for all linear equations. Options B, C, and D are not linear parent functions; B represents a linear function with a y-intercept of 1, C is a reciprocal function, and D is a quadratic function.
in circle K, points A, B, and C lie on the circle. Which of the following would not be a chord of the circle?
(1) AC
(3) KC
(2) BC
(4) AB
(3) KC
Step-by-step explanation:
This is because KC would be a radius and a radius has one end point on the circle while the other is inside. Chords would have both endpoints on the circle.
Final answer:
The segment KC is not a chord of circle K because the center of a circle is not on the circumference, thus KC does not connect two points on the circle's edge like AC, BC, and AB.
Explanation:
A chord in a circle is defined as a line segment with both endpoints on the circle. Given a circle K with points A, B, and C on its circumference, the line segments AC, BC, and AB would all be considered chords of circle K, because they connect two points on the circle's circumference. However, KC cannot be a chord because point K is described as the center of the circle, not a point on its circumference.
Which type of transformation is shown in the graph below?
Please help
A.
dilation
B.
reflection
C.
rotation
D.
translation
Answer:
c
Step-by-step explanation:
c
graphing rational functions
1
The horizontal asymptote is at y=4, shown by the green dashed line. This indicates the behavior of the function as x becomes very large in magnitude.
The blue dot marks the y-intercept at (0,6).
To find the graph that represents the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex], let's analyze its characteristics step by step:
1. Identify the Type of Function
The function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex] is a rational function, specifically a transformed version of the reciprocal function.
2. Vertical Asymptote
The denominator [tex]\( x - 1 = 0 \)[/tex] gives the vertical asymptote, which is [tex]\( x = 1 \)[/tex]. This means the graph will approach but never touch the line [tex]\( x = 1 \)[/tex].
3. Horizontal Asymptote
For large values of x, the term [tex]\( \frac{2}{x-1} \)[/tex] approaches zero. Thus, the horizontal asymptote is determined by the constant term, which is [tex]\( y = 4 \)[/tex].
4. Y-Intercept
To find the y-intercept, set [tex]\( x = 0 \)[/tex]:
[tex]\[ f(0) = \frac{2}{0-1} + 4 = 2 + 4 = 6 \][/tex]
So, the y-intercept is at (0, 6).
5. Behavior around Asymptotes
As x approaches 1 from the left, [tex]\( f(x) \)[/tex] goes to negative infinity.As x approaches 1 from the right, [tex]\( f(x) \)[/tex] goes to positive infinity.6. Additional Points
It might be helpful to calculate the function's value at a couple of additional points for a more accurate graph. For instance, calculate [tex]\( f(2) \)[/tex] and [tex]\( f(-1) \)[/tex].
7. Sketching the Graph
Considering these characteristics, the graph:
Has a vertical asymptote at [tex]\( x = 1 \)[/tex].Has a horizontal asymptote at [tex]\( y = 4 \)[/tex].Passes through the y-intercept at (0, 6).Shows the function going to negative infinity as x approaches 1 from the left and to positive infinity as x approaches 1 from the right.Here is the graph of the function [tex]\( f(x) = \frac{2}{x-1} + 4 \)[/tex]. As analyzed:
(Graph is give below)
It has a vertical asymptote at x=1, represented by the red dashed line. The function goes to negative infinity as x approaches 1 from the left and to positive infinity as x approaches 1 from the right.
The complete question is here:
Which graph represents the function [tex]$f(x)=\frac{2}{x-1}+4$[/tex] ?
Write 0.46 as a fraction simplest form
Answer:
23/50
Step-by-step explanation:
.46
There are 2 numbers after the decimal so we put it over 1 plus 2 zero's
46/100
Divide the top and bottom by 2
46/2 = 23
100/2 = 50
23/50
This is simplest form since 23 is prime and it does not go into 50 evenly
This image shows a square pyramid.
What is the surface area of this square
pyramid?
Answer:
A = a^2 + 2a * √((a^2)/4 + h^2)
Step-by-step explanation:
This is the overall formula because I don't see the attachment for any pyramid
The answer is 200 ft²
40) A real estate agent is selling her clients a modular prefab home. She presents the final blueprint to her clients so they can get an idea of the layout. The blueprint has a key that shows inch = 12 feet, and the actual length of the house is
marked as 96 feet. What is the relative length (r) of the house shown on the blueprint? Show work
Answer:
8 inches
Step-by-step explanation:
if the house is actually 96 feet then you would have to divide 96 by 12 since the question states that one inch equal 12 feet and by dividing you would come up with the length by inches for the blueprint.
96/12=8
A report card has six marks. The average of the first and second marks is 72%. The average of
the second and third marks is 75%. The average of the third and fourth marks is 77%. The
average of the fourth and fifth marks is 78%. The average of the fifth and sixth marks is 79%.
a) Determine the overall average. b) Determine the average of the first and sixth marks.
Answer:
a) Overall average = 76%
b) Average of first and sixth marks = 75%
Step-by-step explanation:
Let's call the marks a, b, c, d, e and f, in this order.
Then, we can write the following equations:
(a+b)/2 = 0.72 -> a + b = 1.44 (eq1)
(b+c)/2 = 0.75 -> b + c = 1.5 (eq2)
(c+d)/2 = 0.77 -> c + d = 1.54 (eq3)
(d+e)/2 = 0.78 -> d + e = 1.56 (eq4)
(e+f)/2 = 0.79 -> e+ f = 1.58 (eq5)
If we sum all equations, we have:
a + 2b + 2c + 2d + 2e = f = 7.62 (eq6)
Then, we make (eq6) - (eq2) - (eq4):
a + b + c + d + e + f = 4.56 (eq7)
a) The find the overall average, we just need to divide (eq7) by 6:
Overall average = (a + b + c + d + e + f)/6 = 0.76 = 76%
b) First we need to make (eq7) - (eq2) - (eq4):
a + f = 1.5
Then, the average is:
Average = (a+f)/2 = 0.75 = 75%
Final answer:
The overall average of the six marks is 63.5%, and the average of the first and sixth marks is 75.5%. The calculation involves setting up algebraic equations from the given average pairs and solving for the totals and individual marks.
Explanation:
To calculate the overall average and the average of the first and sixth marks, we need to use some algebra. Since we know the average of the first two, second two, and so on, we can set up equations to find the individual scores.
Let the individual marks be represented as A, B, C, D, E, and F. From the given information, we can say:
(A + B) / 2 = 72
(B + C) / 2 = 75
(C + D) / 2 = 77
(D + E) / 2 = 78
(E + F) / 2 = 79
To find the overall average, sum all equations:
A + B = 144
B + C = 150
C + D = 154
D + E = 156
E + F = 158
Adding all these together, we get 2(A + B + C + D + E + F) = 762. Then, the total sum of the six marks A + B + C + D + E + F = 381. The overall average is 381 divided by 6, which equals 63.5%
To find the average of the first and sixth marks, we can use the first and last equations we have set up:
A + B = 144
E + F = 158
Now we add the two to get A + B + E + F = 302. However, we need only the sum of A and F. Since A + B + C + D + E + F = 381, we can subtract the sum of B, C, D, and E, which we find from the other equations:
Subtract (B + C + D + E) from 381 (Total sum), we get:
381 - (150 + 154 + 156)/2 = 381 - 230 = 151
This leaves A + F = 151. Dividing by 2, we get that the average of the first and sixth marks is 75.5%
find the area of the shaded region. use 3.14 for pi.
Answer:
[tex]18 0 - 60 = 120 \\ \\ \frac{120}{360} \times \pi {r}^{2} \\ \frac{1}{3} \times 3.14 \times 4 \times 4 \\ = 16.75 {u}^{2} [/tex]
Answer B is correct.
show steps to rewrite 3x6/8 as the product of a unit fraction and a whole number
Answer:
The answer that is responded to this one is what you should get
Step-by-step explanation:
Evaluate the geometric series. Round to the nearest hundredth.
Please help me!!!
Answer:
32.59
That's what my calculator said
also I use acellus too Hi friend!
Answer:
32.59
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio )
4[tex](\frac{8}{9}) ^{n-1}[/tex] ← is the n th term expression
with a = 4 and r = [tex]\frac{8}{9}[/tex]
The sum of n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^n)}{1-r}[/tex], thus
[tex]S_{20}[/tex] = [tex]\frac{4((1-\frac{8}{9}) ^{20}) }{1-\frac{8}{9} }[/tex]
= [tex]\frac{4(1-\frac{8^{20} }{9^{20} } )}{\frac{1}{9} }[/tex]
= 36( 1 - 0.0948)
= 36(0.905)
= 32.59 ( to the nearest hundredth )
What's the sum of 3, and 46?
A.²6
C. /
D. 4/24
Answer:
um, 49....
Step-by-step explanation:
where is B and what happened to C
x = -19 + 19 what is the value of the expression
Answer:
The answer is 0
Step-by-step explanation: The question can be rewritten to 19-19 so the answer would be 0
Answer:
here
x = -19 + 19
= 0
the value of x is 0.
Step-by-step explanation:
3x + y = 11 If you are given that y = x - 1, find the value of x
Answer:
x = 3 and y = 2
Step-by-step explanation:
I graphed both equations on the graph below.
If this answer is correct, please make me Brainliest!
Multiplication and division word problems
Leia is setting up 417 toy cars. Each
car needs 3 batteries to drive.
How many batteries does Leia need
for her cars?
Answer:
417÷3=139 Batteries for all cars
Answer: 1,251 batteries
Step-by-step explanation: 417x3=b
417x3=1,251
The two right triangular prisms are similar solids.The scale factor of the larger prism to the smaller prism
is 3/2. How do the volumes compare?
Answer: last one
Step-by-step explanation:
Did it
Answer:
c
Step-by-step explanation:
just did it
PLS HELP ILL MARK YOU BRAINLLIEST!!!!! Write down the first four terms of the sequence whose nth term is: 4n-2
Answer:
2 6 10 14
Explanation:
Nth term works by having n as the term's place in the sequence.
So the first term , n=1 and you work it out from there
Second term, n=2 and you work it out from there
And so on
So:
4×1 = 4 - 2 = 2
4×2 = 8 - 2 = 6
4×3 = 12 - 2 = 10
4×4 = 16 - 2 = 14
Which function is a translation of the parent absolute value function?
f(x) = 2[x]
f(x) = [x+6]
fx) = [X]
f(x) = -4[x]
Answer:
[tex]f(x) = |x+6|[/tex]
Step-by-step explanation:
Let be [tex]f(x) = |x|[/tex] the parent absolute value function. A translation of such function has the form of [tex]f(x) = |x-k|[/tex], where [tex]k \in \mathbb{R}[/tex]. Then, the right choice is:
[tex]f(x) = |x+6|[/tex]