10 nickels = $0.50
10 dimes = $1.00
So- 10 nickels + 10 dimes = $1.50
5.
The perimeter of a regular octagon is 88 cm.
a) Write an equation you can solve to find the side length of the octagon.
b) Solve the equation.
Answer: a) side length = perimeter ÷ 8
b) 11cm
Step-by-step explanation:
side length = the perimeter ÷ 8( there are 8 sides in an octagon)
= 88 ÷ 8
= 11cm
hope u understand
f(x) = 2x2 + 6x + 1
=
Find f ( 6)
Answer:
so substitute x with 6
y = 4 + 36 + 1
so y or f(x) would = 41
Answer:
f(6) = 109
Step-by-step explanation:
Given polynomial:
f(x) = 2x2 + 6x + 1To Find:
f(6)Solution:
Here,in order to find f(6), substitute x = 6 onto the polynomial given:
f(x) = 2x^2 + 6x + 1f(6) = 2(6)^2 + 6(6) +1Now Simplify using PEMDAS rule.
f(6) = 2(36)+36+1f(6) = 72+36+1f(6) = 108+1f(6) = 109Hence, f(6) will be 109.
3x + 9 - 2x + 1 + 5x + 11
How many permutations are there of the letters APPLE, if the arrangement must begin with a
vowel and end with a consonant?
Answer:
[tex]18[/tex].
Step-by-step explanation:
Start by considering the two "[tex]\verb!P![/tex]"'s as being different from one another. That way, all five letters in this word would be distinct. With this assumption, the number of arrangements would be [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] times that of the actual value.
Start by fixing the first and the last letter since they come with special requirements.
There are [tex]2[/tex] choices for the first letter (the vowel: [tex]\verb!A![/tex] and [tex]\verb!E![/tex].)
Under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex]3[/tex] choices for the last letter ([tex]\verb!L![/tex] and the two
After choosing the first and the last letters, there would be [tex](5 - 1 - 1) = 3[/tex] choices for the second letter, [tex](3 - 1) = 2[/tex] choices for the third, and [tex](2 - 1) = 1[/tex] for the fourth.
Thus, under the assumption that the two "[tex]\verb!P![/tex]"'s are distinct, there would be [tex](2 \times 3) \times (3 \times 2 \times 1) = 36[/tex] ways to choose the new word. Since this assumption doubles the number of arrangements, dividing the [tex]36[/tex] by [tex]\left(\genfrac{}{}{0}{}{2}{1}\right) = 2[/tex] would give the actual number of arrangements:
[tex]\begin{aligned}\frac{36}{\genfrac{(}{)}{0}{}{2}{1}} = \frac{36}{2} = 18\end{aligned}[/tex].
[tex]\begin{aligned}& 1 && \verb!APPEL!\\& 2 && \verb!APLEP!\\& 3 && \verb!APEPL!\\& 4 && \verb!APELP!\\& 5 && \verb!ALPEP!\\& 6 && \verb!ALEPP!\\& 7 && \verb!AEPPL!\\& 8 && \verb!AEPLP!\\& 9 && \verb!AELPP!\\& 10 && \verb!EAPPL!\\& 11 && \verb!EAPLP!\\& 12 && \verb!EALPP!\\& 13 && \verb!EPAPL!\\& 14 && \verb!EPALP!\\& 15 && \verb!EPPAL!\\& 16 && \verb!EPLAP!\\& 17 && \verb!ELAPP!\\& 18 && \verb!ELPAP!\end{aligned}[/tex].
Your visually impaired friend asked you to enlarge your notes from class so he can study. You took notes on 8.5-inch by 11-inch paper. The enlarged copy has a smaller side with a length of 10 inches. What is the scale factor of this dilation?
Find the scale factor.
Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.
Step-by-step explanation:thank you
The scale factor is 20/17.
According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.
the breadth of the paper is 8.5 inches
the length of the paper is 11 inches
Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.
Which means the breadth of the new paper is 10 inches.
So, if we calculate the ratio of the breadths we get the scale factor.
k = 10 / 8.5
k = 20/17 is the scale factor of dilation.
Learn more about scale factor:
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3.
Use the quadratic function to predict f(x) if x equals 8.
f(x) = 25x^2 − 28x + 585
A. f(8) = 2201
B. f(8) = 2679
C. f(8) = 1614
D. f(8) = 1961
Answer:
D. f(8) = 1961
Step-by-step explanation:
i know the answer it is i think
To predict f(x) when x equals 8 we simply substitute.
So f(x) = 25x2 28x + 585
f(8) = 25 (8)^2 - 28 (8) + 585
f(8) = 25 * 64 - 224 + 585
f(8) = 1600 - 224 + 585 = 1961
Hencse f(8) = 1961
Hloo friend^_^..___
Q= f(x) = 25x2 − 28x + 585
Solution
________
f(8) = 25*(8)^2 - 28*8 + 585
= 25*64 - 224 + 585
= 1600 - 224 + 585
= 2185-224
= 1961 Ans...
So the correct ans is f(8) = 1961...
I HOPE ITS HELP U MY FRIEND..^_^
BE BRAINLY..
-7x+6y=34 7x+4y=-24 helppp
Answer:
x=–4, y=1
Step-by-step explanation:
adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1
plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4
we can check by plugging both x and y into one of the original equations:
-7(-4)+6(1)=34
28+6=34
34=34✓
If f(x)=6, what is x?
Answer:so: 6=6/5-x^3
6=6(5-x^3)
6=30-6x^3
-6x^3=6-30
-6x^3=-24
-6x^3+24=0
6x^3-24=0
6(x^3-4)=0
x^3-4=0
x^3=4
x=cube root 4
x=1.5874
Step-by-step explanation:
solve for g.
5.1g = 35.7
Answer:
g=7
Step-by-step explanation:
5.1 times 7 is 35.7
Answer:
Step-by-step explanation:
5.1g = 35.7
g = 35.7 / 5.1
= 7.
Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -
Answer:
Refer to the attachment
Equations in the Form y = ax^2
Guided Practice
Consider these equations.
y=2x^2
y=12x^2
y=−3x^2
How does each differ from the simple quadratic equation y = x^2?
In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.
Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.
Type your answer and then click or tap Done.
First, find the values of 2x^2 by completing this chart. The first is done for you.
x x^2 2x^2
−2 4 8
−1 1 Fill in the blank text field 1
Answer:
2
Step-by-step explanation:
It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer
Please help!! Picture is provided
Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC
Answer:
DC = 8
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values
[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
16 + DC = 24 ( subtract 16 from both sides )
DC = 8
Answer:
DC = 8
Step-by-step explanation:
The median XY of the trapezoid ABCD is half or the sum of AB and DC.
XY = 1/2 ( AB + DC)
We need to find out DC so we can rewrite this equation isolating DC
XY = (1/2)(AB+DC), multiply both sides by 2
2XY = AB + DC, subtract from both sides AB
2XY - AB = DC, now substitute the given AB = 16 and XY = 12
2* 12 - 16 = DC , using the order of operations rules we multiply first
24 -16 = DC, subtract
8 = DC
Review the graph. On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4). Everything inside of the first parabola and above the second parabola within the first parabola is shaded. Which system of inequalities has the solution set shown in the graph?
Answer:
The value of h is h = -1.5
Step-by-step explanation:
The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where
(h , k) are the coordinates of its vertex point
a is the coefficient of x²
∵ The graph is a parabola opens up
∵ It has a vertex at (-1.5, 0)
∵ The vertex of the parabola is (h , k)
∴ h = -1.5 and k = 0
∵ The graph shows f(x) = (x - h)²
∵ The coordinates of the vertex are (h , k)
∵ h = -1.5 and k = 0
∴ h = -1.5
The value of h is h = -1.5
The value of h is h = -1.5
We have given that,
On a coordinate plane, a parabola opens up and goes through (negative 2, 5), has vertex (0, 1), and goes through (2, 5). Another parabola opens to the right and goes through (8, 4), has vertex (negative 8, 0), and goes through (8, negative 4).
The quadratic equation is represented by a parabola,
What is the vertex form of the parabola?The vertex form of the equation is y = a(x - h)² + k, where
(h, k) are the coordinates of its vertex point
a is the coefficient of x²
∵ The graph is a parabola that opens up
∵ It has a vertex at (-1.5, 0)
∵ The vertex of the parabola is (h , k)
∴ h = -1.5 and k = 0
∵ The graph shows f(x) = (x - h)²
∵ The coordinates of the vertex are (h, k)
∵ h = -1.5 and k = 0
∴ h = -1.5
The value of h is h = -1.5.
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i need help what is 7h+1−h+4?
Answer:
6h+5
Step-by-step explanation:
7h-h=6h
1+4=5
Hope this helps :)
Answer:
6h + 5 is the correct answer
Step-by-step explanation:
7h + 1 - h + 4
7h + 1 + 4 - h
7h + 5 - h
6h + 5
hope this helped!
mark me brainliest :D
The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls
please answer quick (i will mark as brainliest)
thank u
Step-by-step explanation:
metallic when has is equipment death of amiloride open interval a b payment to see payment payment details
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14,. . . Can be used to represent this situation. In this sequence n represents what?.
Answer: Number of weeks
Step-by-step explanation:
Just did it on Ed
Carl ordered $28 of pizza for dinner. About how much money
does he need, rounded to the nearest ten?
Answer:
30 dollars.
Step-by-step explanation:
What is 28 closer to? 20 or 30?
30.He would have to pay 30$, and would get 2 dollars back in change.
I hope this helped at all.
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
In the circle below, suppose m STQ = 102° and mZTSR=56º. Find the following.
Answer:
q
Step-by-step explanation:
What is the lowest value of the range of the function
shown on the graph?
5
4
4
©
3+
Q-2
Nw
2
0 0
14
3
-5 4 -3 -2 -1,
2
3
4/5
x
--2
3
-4+
of
Answer:
-2
Step-by-step explanation
range is just the y level, so the lowest point on the y axis that the function reaches is -2
Help please i beg you helppp
Answer:
4.79 + 23.6
Try this, let me know if I'm wrong.
Emily says that the negative sign means opposite of, so -(-45) means the opposite of negative 45, which is 45. Is Emily correct?
Answer: Yes, No Submit ·
Step-by-step explanation:
None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?
Answer:
Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km
Step-by-step explanation:
altitude here is represent by height ok in this case...
if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...
and the information from the question just sun it into the tan formula...this is trigo...
then u add the value to get the total distance..
the answer is 13.87km
hope u understand...
find the slope and y interceptof y=10x -1/3
with steps ( quick )
Answer:
slope = 10 , y- intercept = - [tex]\frac{1}{3}[/tex]
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 = 10x - [tex]\frac{1}{3}[/tex] ← is in slope- intercept form
with slope m = 10 and y- intercept c = - [tex]\frac{1}{3}[/tex]
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
tim drives at an average of 80km
Answer:
80km --- 49.7097mi
Step-by-step explanation:
thats quite slow... but please provide context then i can solve it for you
At GameStop, there is a 30% off discount sale for a PS 5 originally priced at $600. After the sale, the discounted price of the PS5 was increased by 30%. What is the final price of the PS5 after the increase?
Answer:600-30 precent is $420 so is you increase it by 30 precent it would be
420 + (30% × 420) =
420 + 30% × 420 =
(1 + 30%) × 420 =
(100% + 30%) × 420 =
130% × 420 =
130 ÷ 100 × 420 =
130 × 420 ÷ 100 =
54,600 ÷ 100 =
546
Step-by-step explanation:
so 546 if wrong i am sorry
Enter a digit in each box to complete the addition problem
Answer:
4.5 + 19.75 = 24.25
Find your missing digits with the equation above
Which expression is equivalent to 1/2b -15
Answer:
b-30
Step-by-step explanation:
1/2b-30×2=b-30
hope this helpd