Step-by-step explanation:
We simply multiply what there is to multiply:
10(1+a)^2 = 10a^2 + 20a + 10
The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length?
Answer: 84 m
Step-by-step explanation:
To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:
5628 / 67 = 84
This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.
67 x 84 = 5628.
Thus, the length of the pool is 84 m.
Solve. \sqrt{8x} -8-8=4
Answer:
x=50
Step-by-step explanation:
Let's solve your equation step-by-step.
√8x - 8 - 8 = 4
√8x - 16 = 4
Step 1: Add 16 to both sides.
√8x - 16 + 16 = 4 + 16
√8x = 20
Step 2: Solve Square Root.
√8x = 20
8x = 20^2 ( Square both sides )
8x = 400
8x/8 = 400/8 (Divide both sides by 8)
x = 50
HOPES THIS HELP :)
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 640 dollars. How many children and how many adults were admitted?
Answer: 115 Adults and 120 Children
Step-by-step explanation:
We have 2 unknowns: A is the number of Adults and C is the number of children.
We'll need at least two equations to solve for two unknowns.
One equation is easy: We know that A + C = 235, the total number of people who entered the park.
The second equation comes from the second fact that was provided: total admission fees were $640. We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:
4A + 1.5C = $640 [$4 * the number of adults plus $1.5 * the number of children]
Rearrange the first equation for either variable, A or C. I picked A:
A = 235 - C
Now use this value for A in the second equation:
4A + 1.5C = $640
4*(235-C) + 1.5C = $640
-2.5C + 940 = 640
-2.5C = -300
C = 120 children
To find A:
A = 235 - C
A = 235 - 120
A = 115 adults
===
Double check to see if these value work:
C A
Fee($) 1.5 4
People 120 115
Income ($) 180 460
Total = 180 + 460 = $640
It works. 120 Adults and 115 Children.
Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No
Answer:
I'm thinking its a no because the money is odd every time Jayden adds $5
Step-by-step explanation:
Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.
Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.
Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,
[tex]\to y = 11+5x[/tex]
Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,
[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]
As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].
Learn more:
brainly.com/question/11925965
Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.
Step-by-step explanation:
yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct
In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is
Solve the quadratic equation given.
6x2 - 24 = 0
[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please help me with my math problem!! NO LINKS PLEASE!! IT IS DUE TONIGHT AT 11:59PM!! WILL GIVE BRAINLIEST!! :)
Step-by-step explanation:
Hi, i think this is how to do it. I'm sorry if I do it wrong!
ab? that goes through points (0,2)
Write an exponential function in the form y
and (4, 1250).
Answer:
y = 2·5^x
Step-by-step explanation:
Using the given points, we can solve for 'a' and 'b'.
y = ab^x
2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)
__
1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)
625 = b^4 . . . . divide by 2
5 = b . . . . . . . take the 4th root
The function is ...
y = 2·5^x
____
Additional comment
There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.
Will someone give me explanation of this question below??
[tex]show \: that \: function \: y = ax+ {2a}^{2} \: is \: a \: solution \: of [/tex]
[tex]the \: differential \: equation[/tex]
[tex] 2( \frac{dy}{dx})^{2} + x ( \frac{dy}{dx} ) - y = 0 \\ [/tex]
Note: Don't spam and don't copy
Need answer with explanation
Don't answer if you don't know
Thank You!
If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:
2 (dy/dx)² + x dy/dx - y = 0
2a² + ax - (ax + 2a²) = 0
0 = 0
This is of course true, so y = ax + 2a² is indeed a solution to the given equation.
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Step-by-step explanation:
Answer:
ok
Step-by-step explanation:
if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)
Answer:
....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
19=5+7x i need explanation it’s two step equation btw
Answer:
x = 2
Step-by-step explanation:
subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2
Answer:
[tex]\boxed{\sf x=2}[/tex]Step-by-step explanation:
[tex]\sf 19 =5+7x[/tex]
First, let's swap sides so that all variable terms are on the left hand side.
[tex]\sf 5+7x=19[/tex]
Subtract 5 from both sides:
[tex]\sf 7x=19-5[/tex]
Subtract 5 from 19:
[tex]\sf 7x=14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]
[tex]\sf x=2[/tex]
_____________________________________
Help!!
So I think that someone is tracking my truck with an apple airtag but I don't know for sure. The only apple product I have is an iPad and I don't know how to check if an airtag is near by!!
Answer:
well....
Step-by-step explanation:
trow the apple
Need help on HS geometry
Answer:
See belowStep-by-step explanation:
AB is a midsegment.
Property of the midsegment is midsegment is half the length of the parallel side of the triangle:
2AB = 88AB = 44And
3x - 4 = 443x = 48x = 16A skyscraper is 396 meters tall. At a certain time of day, it casts a shadow that is 332 meters long. At what angle is the sun above the horizon at that time?
Step-by-step explanation:
there is a right-angled triangle.
its legs (enclosing the 90° angle) are the height of the skyscraper (396 m) and the shadow (332 m).
so, we know the third side (the Hypotenuse, which is the line of sight between the end of the shadow and the top of the skyscraper) too by using Pythagoras :
c² = a² + b²
line² = 396² + 332² = 156816 + 110224 = 267040
line = sqrt(267040) = 516.7591315... m
and we know 1 angle : the 90° angle between the legs.
the other angles we can now get by using the law of the sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the angles are opposite of the lines.
the line of sight is opposite of the 90° angle.
and the height of the skyscraper is opposite of the angle between the line of sight and the shadow. this angle is also the angle of the sun above the horizon, as the extended line of sight would lead directly to the sun.
so, we have
516.7591315.../sin(90) = 396/sin(angle)
as sin(90) = 1
516.7591315... = 396/sin(angle)
sin(angle) = 396 / 516.7591315... = 0.76631447...
angle = 50.02407526...°
MARKING BRAINLIEST PLEASE HELP
What is the solution to the system of equations shown below?
y = -x-2
4y + 8 = x
A. No solution
B. (2,0)
C. (0,2)
D. Infinitely many solutions
Answer:
The answer is c when u solve for x it gives 0 and for y gives 2
Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.
Answer:
25X48=1200 buttons in all
1200 divided by 15 = 80
She needs to buy 80 bags which totals 1200 buttons
Step-by-step explanation:
Solve: 3x²+9x+6 = 0
Thank you.
Given quadrant equation:
3x² + 9x + 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 3 × 6 = 18
→ Sum of coefficient of x² ans constant term = 3 + 6 = 9
So the given equation can be written as,
⇛3x² + 6x + 3x + 6 = 0
On taking the common terms, we get
⇛3x(x + 2) + 3(x + 2) = 0
On grouping the common terms, we get
⇛(3x + 3)(x + 2) = 0
Here either (3x + 3) = 0 or (x + 2) = 0. So,
⇛3x + 3 = 0 or x + 2 = 0
⇛3x = -3 or x = -2
⇛x = -3/3 or x = -2
⇛x = -1 or x = -2
also read similar questions:- These are the two roots of the equation.
Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?
https://brainly.com/question/11808722?referrer
answer in standard form PLEASE.
Can someone please answer this no bots answer this please… I’ll give you brainliest
Answer:
Part one:
Y=13.5x+1
Part two:
Y=12x+40
Part three:
After 15 seconds Sam: 203.5ft Alice:220ft
Alice won
Step-by-step explanation:
7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment
A rhombus can have the same shape and dimension as a square or a
parallelogram, therefore, all rhombuses are not similar.
A step in the proof that have flaws is step 3.Reasons:
By reading through the given steps, we have, the first step that is incorrect
is step 3.
Step 3: The requirement for the similarity of two figures based on the
proportionality of the corresponding sides of the figures is related with
triangles as given by the triangle proportionality theorem.
This is so because, the lengths of the sides of a triangle depends on the
opposite interior angle, while the side of a rhombus can have a
combination of large length and and acute angle.
Two rhombuses that have proportional sides may be dissimilar,
because they can have different interior angles.
Therefore;
The step in Tyler's proof that have a flaw is Step 3
Learn more about similarity between geometric figures here:
https://brainly.com/question/10270676
1/2x divided by 3=6 what is x
Answer:
x = 36Step-by-step explanation:
1/2x ÷ 3 = 6=> 1/2x × 1/3 = 6=> 6 x 1/6x = 6 x 6=> x = 36Conclusion:
Therefore, the answer is 'x = 36'.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
Which equation shows a proportional relationship between x and y?
A. y = 3x + 1
B.y= 4x
C.y = -3x - 2
D.y=9
Answer:
A
Step-by-step explanation:
28. Which category is zero NOT a part of?
NY
A. Whole
B. Integers
C. Rational
D. Natural
Answer:
Zero is not a natural number
Step-by-step explanation:
Hope this helps!
If the circumference of a circle is 13 pi, what is the diameter of the circle.
Answer: 13 units
Explanation:
Use the formula [tex]C = \pi d[/tex] where C is the circumference and d is the diameter.
WILL GIVE BRAINLIEST
Answer:
A) 1: linear; 2: exponential (see equations in part B)
B) the value of 2 will be almost 15% greater
Step-by-step explanation:
Part A:As is often the case with multi-part questions, later parts of the question answer earlier parts. The equations shown in Part B are linear for Option 1 and exponential for Option 2.
The table values for Option 1 have a common difference of (1200 -1100) = 100.
The table values for Option 2 have a common ratio of (1210/1100) = 1.10.
Linear functions produce sequential values with a common difference (the slope of the function). Option 1 is linear.
Exponential functions produce sequential values with a common ratio (the growth factor). Option 2 is exponential.
__
Part B:The investment values after 7 years will be ...
Option 1: f(7) = 100(7) +1000 = 1700
Option 2: g(7) = 1000(1.1^7) ≈ 1948.72
The value of Option 2 will be about $248.72 higher, or 14.6% higher than the value of Option 1. Whether that is significant or not is in the eye of the beholder. Many people might consider that to be significantly better performance. (It would take another 2 1/2 years for Option 1 to have that value.)
What is 95/18 as a decimal?
Please include an explanation and the correct answer!
I will give brainliest to the best answer!
I need it in the next 5 mins!
Thank you!
Answer:
5.27777777
repeating 7s forever
rounded to 2 decimal places is:. 5.28
Hey there!
In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)
Here’s the formula
a/b = a ÷ b = [decimal form]
ANSWERING YOUR QUESTION
95/18
= 95 ÷ 18
= 5.277778 ≈ 5.3 or 5.28
Therefore, your answer is: 5.277778
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)