Answer this question
y is 5% more than 110:
y = 110 x 1.05 = 115.50
x = 5% less than y:
x = 0.95(115.50)
x = 109.725
A piano teacher has 4 1/2 hours available to teach each night. One lesson will last 3/4 of an hour. How many lessons can the teacher schedule each night?
Step-by-step explanation:
4 1/2 = 9/2
so, the calculation is simply how often 3/4 fits into 9/2.
and that is done by division :
9/2 / 3/4
and as we know, to divide by a fraction is the same as to multiply with the upside-down fraction.
so,
9/2 / 3/4 = 9/2 × 4/3 = (9×4)/(2×3) = 3×2/1 = 6
so, without any breaks the teacher can schedule 6 lessons each night.
find two positive numbers A and B with A less than or equal to B whose sum is 52 and whose product is mazimized
Answer:
26 and 26
Step-by-step explanation:
Let's call the two numbers x and 52-x.
Their product is [tex]p(x) = x(52-x)=52x-x^2[/tex]. Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point [tex]x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26[/tex] The two numbers are, then 26 and 52-26=26.
Find the value of f(-3)f(−3).
solve pls brainliest
Answer:
5/2
Step-by-step explanation:
please mark me brainiest
1/10 = 10%
a percent is
[tex] \frac{part}{whole} = \frac{x}{100} [/tex]
If u take 1/10, 10 is one tenth of 100 (10*10=100).
#16 i
MODELING REAL LIFE A public university charged $9200 for tuition and fees in the 2014-2015 academic year. This cost
increased at a constant rate and reached $10,900 in the 2019-2020 academic year. Estimate the cost of tuition and fees in the
2023-2024 academic year.
The tuition is an illustration of a linear function.
The cost of tuition and fees in the academic year 2023-2024, is $12260
Let the number of academic years after 2014-2015 academic year be x.
So, we have:
[tex]\mathbf{(x,y) \to (0,9200)(5,10900)}[/tex]
A linear function is represented as:
[tex]\mathbf{y = mx + b}[/tex]
Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)
So, we have:
[tex]\mathbf{10900 = 5m + 9200}[/tex]
Subtract 9200 from both sides
[tex]\mathbf{1700 = 5m}[/tex]
Divide both sides by 5
[tex]\mathbf{340 = m}[/tex]
So, we have:
[tex]\mathbf{m =340 }[/tex]
The function becomes
[tex]\mathbf{y = mx + b}[/tex]
[tex]\mathbf{y = 340x + 9200}[/tex]
In the academic year 2023-2024, x = 9.
So, we have:
[tex]\mathbf{y = 340x + 9200}[/tex]
[tex]\mathbf{y = 340 \times 9 + 9200}[/tex]
[tex]\mathbf{y = 3060 + 9200}[/tex]
[tex]\mathbf{y = 12260}[/tex]
Hence, the cost of tuition and fees is $12260
Read more about linear functions a:
https://brainly.com/question/21107621
A stadium has 10,500 seat and 8 vip boxess The is divied into 12 equalbsections 2 premuin sections and 10 standred sestion A seat at the premiun sections coast $45 per game.A seat at the standrad sections coast $27 peer game.How many seatsb are there in each section
Answer:
???????????????????????????????
Step-by-step explanation:
Jon performs the following calculation. (1) (2. 0) (3. 00) (4. 000). Which value from his calculation most strongly affects the number of significant figures in the answer? 1 2. 0 3. 00 4. 0.
Answer:
(a) 1
Step-by-step explanation:
The number of significant digits in the answer will be the minimum of the numbers of significant digits in the factors. Here, the value with only 1 significant digit is (1).
1 most affects the number of significant digits in the answer
can someone please help me please
Answer:
Letter b
Step-by-step explanation:
because it is
100 POINTS ANSWER QUICK
A sphere has a diameter of 9 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
95.4 in³
381.5 in³
763.0 in²
3052.1 in³
Now
Volume=
4/3πr³4/3π(4.5)³121.5π381.5in³Option B
Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about triangle sum theorem on:
https://brainly.com/question/7696843
The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
Learn more about Angle Sum Property here:
brainly.com/question/7696843
#SPJ5
-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✓
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]
Which expression is equivalent to 1/2b -15
Answer:
b-30
Step-by-step explanation:
1/2b-30×2=b-30
hope this helpd
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? Thank you:)
Answer:
A
Step-by-step explanation:
because this is right
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
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.
Business Math I need help with fraction word problems.
Answer:
which kind?
Step-by-step explanation:
What is the measure of angle n°?
What is 20 dived by 5 +19-6
Answer:
17
Step-by-step explanation:
20 divided by 5 + 19 - 6
20 divided by 5 = 4
4 + 19 = 23
23 - 6 = 17
What is the center of the circle
2x^{2} +2y^{2}-4x+16y=128
A. (1, -2)
B. (1, 4)
C. (1, -4)
D. (-1, -2)
E. (-1, -4
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k)are the coordinates of the centre and r is the radius
Given
2x² + 2y² - 4x + 16y = 128 ( divide through by 2 )
x² + y² - 2x + 8y = 64 ( collect x and y terms together )
x² - 2x + y² + 8y = 64
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 1)x + 1 + y² + 2(4)y + 16 = 64 + 1 + 16
(x - 1)² + (y + 4)² = 81 ← in standard form
with centre = (h, k ) = (1, - 4 ) → C
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:
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
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
Make d the subjest of the formula h=d/3+2
Answer:
d = h x 3+2
Example
The formula h=d/3+2
h = 15
d = h x 3+2
d = 15 x 3+2
d = 15 x 5
d = 75
To check the answer is correct
h = 75/5
h = 15
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.
why does math included things we will never use
Answer:
To make students question their existence
Step-by-step explanation:
Help please i beg you helppp
Answer:
4.79 + 23.6
Try this, let me know if I'm wrong.