Step-by-step explanation:
The circumference of a circle is (pie) X d (d = diameter) or 2(pie) r ( r = radius)
The circumference of a circle of 20 foot diameter = (22/7) x 20 =
440/7 = 62.86 foot
Aubrey is working two summer jobs, making $8 per hour babysitting and making $10 per hour walking dogs. In a given week, she can work no more than 14 total hours and must earn no less than $120. If xx represents the number of hours babysitting and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
possible solutions (2,11) (3,10)
Step-by-step explanation:
Variable Definitions:
x=the number of hours babysitting
y=the number of hours walking dogs
“no more than 14 hours"→14 or fewer hours
Therefore the total number of hours worked in both jobs, x+y, must be less than or equal to 14
x+y≤14
“no less than $120"→$120 or more
Aubrey makes $8 per hour babysitting, so in x hours she will make 8x dollars. Aubrey makes $10 per hour walking dogs, so in y hours she will make 10y dollars. The total amount earned 8x+10y must be greater than or equal to $120:
8x+10y≥120
Solve each inequality for y:
x+y≤14
y≤14−x
8x+10y≥120
10y≥120−8x
y≥ -4/5x+12
Graph y≤14−x by shading down and graph y≥-4/5x+12 by shading up
help me with this question!!!
Step-by-step explanation:
×=100
1. Divded 35 by 14 and u get 0.4
2
Divided 40 by 0.4 and u get 100
Answer:
16
Step-by-step explanation:
You could solve it two ways:
Cross multiply:
x times 35 = 35x
40 times 14 = 560
35x divided by 35 = x
560 divided by 35 = 16
x = 16
Or:
35 divided by 14 = 2.5
40 divided by 2.5 = 16
x = 16
how do you find the x for this and the angles, thanks in advance
HOPE THIS HELPS...
Hooke's law is a law of physics that states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, Fs = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke. He first stated the law in 1676 as a Latin anagram.[1][2] He published the solution of his anagram in 1678[3] as: ut tensio, sic vis ("as the extension, so the force" or "the extension is proportional to the force"). Hooke states in the 1678 work that he was aware of the law since 1660.
Hooke's equation holds (to some extent) in many other situations where an elastic body is deformed, such as wind blowing on a tall building, and a musician plucking a string of a guitar. An elastic body or material for which this equation can be assumed is said to be linear-elastic or Hookean.
Hooke's law is only a first-order linear approximation to the real response of springs and other elastic bodies to applied forces. It must eventually fail once the forces exceed some limit, since no material can be compressed beyond a certain minimum size, or stretched beyond a maximum size, without some permanent deformation or change of state. Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached.
On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. For this reason, Hooke's law is extensively used in all branches of science and engineering, and is the foundation of many disciplines such as seismology, molecular mechanics and acoustics. It is also the fundamental principle behind the spring scale, the manometer, and the balance wheel of the mechanical clock.
The modern theory of elasticity generalizes Hooke's law to say that the strain (deformation) of an elastic object or material is proportional to the stress applied to it. However, since general stresses and strains may have multiple independent components, the "proportionality factor" may no longer be just a single real number, but rather a linear map (a tensor) that can be represented by a matrix of real numbers.
In this general form, Hooke's law makes it possible to deduce the relation between strain and stress for complex objects in terms of intrinsic properties of the materials it is made of. For example, one can deduce that a homogeneous rod with uniform cross section will behave like a simple spring when stretched, with a stiffness k directly proportional to its cross-section area and inversely proportional to its length.
Step-by-step explanation:
2x + 15° + x = 180° { Being co-interior angles }
3x = 180°- 15°
3x = 165°
x = 165° / 3
x = 55°
2x + 15° = 2 *55° + 15° = 125°
Hope it will help :)❤
I need the answers to this: 3(2x-5)= 27
Answer: x=7
Step-by-step explanation: First, remove 3 from both sides by dividing. You will end up getting 9. Since 2x-5 = 9, add 5 from both sides by adding leaving you with 2x = 14. Divide 14 by 2 to get 7.
Which pair shows equivalent expressions?
a. 2x+10= -2(x-5)
b. -2(x+5)=2x-10
c. -2x-10=-2(x+5)
d. -2(x-5)= -2x-10
Answer:
d
Step-by-step explanation:
Help me please will mark brainliest
Answer:
197in^2
Step-by-step explanation:
5x5=25(top face)
5x5=25(left face)
9x5=45(bottom face)
6.4x5=26(right face)
Front and behind face: trapezoid area (trapezoid formula h x (a+b)/2)
(5+9)/2 x 5=7x5=35
35+35+25+25+45+25=197in^2
Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theorem? StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T EndFraction
If you could hurry please I'm on a time crunch!
Answer:
a.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
please help, and show work if you can :))
Answer:
x=4
Step-by-step explanation:
Hey There!
So if DE is the midsegment then to find x you divide the length of AE by 2
8/2=4
Therefore x=4
find the area of the shaded region in the simplest form
Answer:
A = 24t² + 2t
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of outer square - area of rectangle
= (5t)² - t(t - 2)
= 25t² - t² + 2t
= 24t² + 2t
is this a right triangle 6,12,8
Answer:
No it is a obtuse triangle
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
A dessert recipe calls for image cups of milk and makes 5 servings. How many cups of milk are needed for 8 servings?
Answer:
1.05
Step-by-step explanation:
Answer:
u;t5g3ji/lfvjk.dvnjfvjk.f
Step-by-step explanation:
please help me with this question!
Yesterday 270 concert tickets were sold. Today 216 tickets were sold.
I need help, please.
Answer:
whats your question...?
Step-by-step explanation:
If there are 36 apples in 2 boxes, then
there are
apples in 5 boxes.
Answer:
90 apples in 5 bboxes
Step-by-step explanation:
Tony purchases a house for $135,000. The value of the house increases by 13% every year. Find the value of the house after 27 years.
Who is correct? Fred or Felicity?
Answer: Felicity
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
I hope this helps, and enjoy the rest of your day!
Please help me Mr Thompson!!! MY HOMEWORK!
Answers:
C) Factored form.C) Standard form.D) -8B) y = x^2B) 2 solutions: x = plus/minus 5======================================================
Explanations:
Factored form is whenever we have two or more expressions being multiplied like you see here. A more simpler example may be breaking 36 into 12*3, or 36 = 12*3. We say that 12*3 is the factored form of 36. The two pieces 12 and 3 multiply to 36.Standard form for quadratics is ax^2 + bx + c. The exponents count down: 2,1,0. You can think of it as ax^2 + bx^1 + cx^0. In this case, a = 2, b = 1, c = -3.The y intercept always occurs when x = 0. Plugging this value in leads to y = -8. The y intercept is located at (0,-8). The last value at the end, the constant term, is always the y intercept. This is one handy feature of standard form quadratic equations.The parent function of any quadratic is always y = x^2. From this parent function, we can derive any scaled version in the form y = ax^2, and we can also apply shifting to get y = (x-h)^2 or y = x^2+k. All together, we can generate y = a(x-h)^2 + k to represent both scaling and shifting. That last equation is vertex form which can convert to standard form shown in choice C. There are two solutions and the solutions are x = -5 and x = 5. Note how x^2 = (5)^2 = 25 and x^2 = (-5)^2 = 25. The two negatives cancel out when we multiply. Be sure to have the negative inside the parenthesis. We don't say -(5)^2 = -25.Complete the statement. 400 mm = ___ cm
Answer:
40 cm
Step-by-step explanation:
divide the length value by 10
400 / 10 = 40
Answer:
400 mm = 40 cm
Step-by-step explanation:
please help a girl out:
Graph y = 6/5x+1
Plz use a graph and show me
Answer:
All you have to do is mark the 1 on the y-intercept and then use the rise over run for the slope. from the 1 on the y-axis, you would go up 6 and to the right 5.
Find the value of or in the triangle shown below. 97 47
Allys little sister wanted to help her make some oat meal cookies First she put 5/8 cup of oat meal in the bowl. Next she added another 5/8 cup of oat meal . Finally she addded anther 5/8 cup of oat meal . How much oat meal did she put in the bowl.
Answer:
1 7/8 or 1.875 cups
Step-by-step explanation:
This can be solved by adding the 3 fractions together
[tex]\frac{5}{8} + \frac{5}{8} + \frac{5}{8}[/tex]
[tex]\frac{5 + 5 + 5}{8}[/tex]
[tex]\frac{15}{8}[/tex] = [tex]1\frac{7}{8}[/tex]
Since the 3 cups added are the same size, this can also be solved by multiplication
5/8 x 3 = 1.875 cups = 1 7/8 cups
Spencer is going snowboarding. He rode the ski lift to the top of the mountain,
which is at an altitude of 1300 feet. The angle of elevation from the bottom to the
top of the mountain is 25°. What is the length of the Spencer's run (his trip down
the hill)?
when graphing a system of equations with no solution the y-intercept of the two lines will be?
Answer:
The answer is B
Step-by-step explanation:
Find the product. -7 x -8
Find the product. 9 x (-3)
Find the product. -3.5 x 12
Max read 1/3 of his at school. He reads 22 more pages when he arrives home, making 127 pages read so far. How many pages are in Max's novel?
Answer:
315
Step-by-step explanation:
127-22=105
105 times 3 is equal to 315.
Answer:
Step-by-step explanation:
315!!!!!
Four friends split the cost of a pizza and salad. The pizza costs $20 and the salad costs $6. Which expression can you use to find out how much each person owes?
Answer:
26 divided by 4= $6.50
Step-by-step explanation:
20+6=26
26 divided by 4 friends = they each paid $6.50
Answer:
(20 + 6) / 4 or 26 / 4 which equals $6.50
Step-by-step explanation:
Since their are 4 people you would divide the total cost by 4.
Charles and Wilma have different internet providers. Charles pays $0.25 per gigabyte of data. Wilma pays a flat fee of $20 and $0.05 per gigabyte. How many gigabytes of data must each use for Charles' internet bill to equal Wilma's internet bill?
Answer:
We want to find the point where these two lines intersect:
Equation for Charles: y=0.25x
Equation for Wilma: y=0.05x+20
0.25x=0.05x+20
0.2x=20
x=100
So, Charles must use 100 gigabytes of data to equal Wilma's internet bill.
Let me know if this helps!
The number of gigabytes of data that must be used for Charles' internet bill to equal Wilma's internet bill is; 100 gigabytes
What is the Intercept of the equations?Let the amount of gigabyte of data be x.
Since Charles pays $0.25 per gigabyte of data, then the equation for Charles is; y = 0.25x
Wilma pays a flat fee of $20 and $0.05 per gigabyte and as such the equation for Wilma is; y = 0.05x + 20
For Charles' internet bill to equal Wilma's internet bill, Thus;
0.25x = 0.05x + 20
0.2x = 20
x = 20/0.2
x = 100
Thus, Charles must use 100 gigabytes of data to equal Wilma's internet bill.
Read more about equation intercepts at; https://brainly.com/question/26249361
I don’t understand this A gym has 11 rows of elliptical machines with 13 machines in each row. The gym also has 14 rows of treadmills with 12 treadmills in each row. What is the maximum number of people that can use the elliptical machines and the treadmills at the same time?
Answer:
311
Step-by-step explanation:
11x13=143
14x12=168
143+168=311
What is the solution to 3/5x - 4/5 = 1/5x?
Answer:
2
Step-by-step explanation:
the answer is 2 ..........