A farm raises pigs and chickens. The farmer has a total of 102 animals. One day he counts the legs of all his animals and realizes he has a total of 298 legs. How many chickens does the farmer have
Answer:
47 pigs and 55 chickens
Step-by-step explanation:
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
$
Answer:
146.2
Step-by-step explanation:
A right triangle has legs measuring 5 feet and 12 feet. If the legs of the triangle were doubled, what would be the difference in the original and enlarged perimeters?
Answer:
[tex]30[/tex]
Step-by-step explanation:
1. Approach
First, use the Pythagorean theorem to solve for the hypotenuse of the given right triangle. Then find the perimeter by adding up the values of all the sides. The problem then has the lengths of the legs doubled. When the legs undergo a scaling factor, the hypotenuse and perimeter undergo the same scaling factor. Here, the legs are doubled, hence the hypotenuse and the perimeter are also doubled. Finally, subtract the new perimeter from the original perimeter.
2. Find the original hypotenuse
Remember the Pythagorean theorem states;
[tex]x^{2}+y^{2}=z^{2}[/tex]
Where (a) and (y) are the legs (or the sides adjacent to the right angle), and (z) is the hypotenuse or the side opposite to the right angle.
Substitute in the given value and solve,
[tex](5)^{2}+(12)^{2}=z^{2}\\\\25 + 144 = z^{2}\\\\169=z^{2}\\\\\sqrt{169}=z\\\\13=z[/tex]
3.Find the perimeter of the original triangle
To find the perimeter of a polygon, one must add up the lengths of all the sides.
[tex]5 + 12 + 13\\\\= 30[/tex]
4. Find the new perimeter
In a right triangle, when both legs undergo a scaling factor, the hypotenuse also has the same change, and the perimeter also undergoes the same change. In this case, the length of the legs is doubled, therefore, the hypotenuse and the perimeter are also doubled.
New hypotenuse; [tex]26[/tex]
New perimeter; [tex]60[/tex]
5. Find the difference
Now all that is left is to subtract the new perimeter from the original perimeter;
(New_perimeter) - (original_perimeter)
= [tex]60 - 30[/tex]
= [tex]30[/tex]
would it make more sense to buy two 10 inch pizzas or one 20 inch pizza? Explain your answer in detail.
Answer:
one 20 inch pizza
Step-by-step explanation:
radius of one 10 inch pizza is 10/2 = 5
so area of one 10 inch pizza : [tex]\pi[/tex]× [tex]5^{2}[/tex] = 25 [tex]\pi[/tex]
there are 2 ; 10 inch pizza so 25 [tex]\pi[/tex]⇒[tex]50\pi[/tex]
however 20 inch pizza radius is 10
so
[tex]10^{2}[/tex]×[tex]\pi[/tex] = 100[tex]\pi[/tex]
can you try to solve this plz
Answer:
50 dgrees
Step-by-step explanation:
staruight line is 180 so 180 minus 130 is 50
determine the solution to the equation.
A school’s toilets are broken. Don’t Flush Plumbing Company ™ charges $50 for a service call plus $10 per hour. Fire-in-the-Hole Plumbing™ charges $90 for a service call plus $5 per hour.
At what number of hours do both companies charge the same amount?
If the job takes 7 hours, which company charges the school the least amount of money ?
Answer:
Did you know that Aronson and Carnes-McNaughton's have the perspective on how they study
ancient things from the past.I agree that Aronson will agree with Carnes--McNaughton's statement because they both said the same thing but just in different words. For example in the book "If Stones Could Speak," it will tell what Aronson statement was about when it comes to archaeology and in "Profiles Of Archaeologist," it will tell you the same statement but just in different words. For example it states in the book "If Stones Could Speak," on page 56 "Marc Aronson believes that, “It is about putting aside what you think you know, what has been passed along, and being willing to trust what you yourself see and to test it rigorously.” From this quote the reader will now know what Aronson thinks when it comes to archaeology. In "Profiles Of Archaeologist." On paragraph 19 It states "Being an archaeologist means looking at the world around us in a different perspective. We live in the present as we study the past in order to learn what to do in the future---- on this planet and possibly other. We learn to be humanities while at the same time we practice as scientists. From this quote the reader can understand that both of these statements are similar but they are just reworded. In closing, This why I think that Aronson and Carnes will agree to what to what there statement was.
Step-by-step explanation:
Answer:
Part 1: At eight hours they both charge the same.
Part 2: Flush Plumbing charges the least
Step-by-step explanation:
Part 1:
Flush Plumbing Co Equation: 50 + 10 h (h = hours)
Fire-in-the-hole Plumbing: 90 + 5h (h = hours)
50 + 10h = 90 + 5h
Solve the Equation:
5h = 40
h = 8
Part 2:
Plug in 7:
Flush Plumbing: 50 + 10 x 7 = 50 + 70 = $120
Fire-in-the-hole Plumbing: 90 +5 x 7 = 90 +35 = $125
Flush plumbing chargers the least
Hope this is helpful!
-3n + 4 + 8n = 79 =
4n + 18 = 38 =
Answer:
1.n=15
2.n=5
Step-by-step explanation:
PLZZ HELP bubba biked 19 kilometers how far did he bike in miles? A mile is approximately 1.6 kilometers Round to the nearest tenth
Answer:
11.9 miles
Step-by-step explanation:
1.6 kilometers = 1 mile
19 kilometers = 1/1.6 * 19 miles
= 11.875 miles
pleaze help me on the first 2
Answer:
1) 6:9 (9 cups of flour)
2) y = 11
Step-by-step explanation:
i did the math :)
Answer:9 cups of flour and y=11
Step-by-step explanation:
ez
Please help on number 8 I’ll give points
What is 6 divided by 1/8?
Answer:
48
Step-by-step explanation:
Answer:
48 because i divided it
Help pls with this trigonometry question
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLY IF U GET IT RIGHT !!!!
** I’LL GIVE YOU BRAINLYLIST PLEASE ANSWER **
calculate the value of (-18) (-3)
Answer:
54
Step-by-step explanation:
You do -18 times -3 which is equal to 54. It is positive because in multiplication and division if you multiply a negative times a negative or divide a negative divided by a negative it will equal a positive.
Hope this helps!
4. Is the binomial that represents the length of the fish tank a factor of the polynomial that
represents the volume of the fish tank after the hemispheres are installed? Support your answer
mathematically.
Answer:
Step-by-step explanation:
(8x^3-440x^2+7200x-36000)-(x^3-70+360x-1800)^2
Find the missing side round to the nearest tenth
30
Does the scatter plot show
a positive, negative, or no
relationship?
20
10
0
2
HELP I NEED IT ASAP
Answer:
That shows no relationship
Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?
Write an equation of the line that passes through the point (-12, 6) and is parallel to the graph of the equation y=-1/6x + 1. Explain your reasoning.
Answer:
y=-1/6x+4
Step-by-step explanation:
In order to pass that point, you have to move the line up 4 points. So you make the 1 at the end to 4.
Erick and Mia live the same distance from the park and decide to meet at the park one afternoon. The graphs show their distances from home over the same 30-minute period as they walked to the park. Each section of each graph represents 10 minutes.
Which statements are true ?
Choose all that apply.
Explain your answer.
A. Mia Returned to her house after 10 minutes.
B. Mia left her house 10 minutes before Erick left his house.
C. it took erick only 10 minutes to walk to the park.
D. Erick and Mia arrived at the park at the same time.
E. Erick walked the same distances as Mia during the last 10 minutes
Answer:
please continue i'm facinated on were this story goes
Step-by-step explanation:
From the graph, the correct options are given as,
B. Mia left her house 10 minutes before Erick left his house.
D. Erick and Mia arrived at the park at the same time.
E. Erick walked the same distances as Mia during the last 10 minutes.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The graphs show their distances from home over the same 30-minute period as they walked to the park.
From the graph,
It can be concluded that,
Both reach the park at the same time, as the termination point of the curve is the same.
The graph of mia starts after 10 minutes Erick, which implies Mia left her house 10 minutes before Erick left his house. And Erick walked the same distances as Mia during the last 10 minutes as the slope of the last segment of both curves is the same.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
Matthew has already baked 7 cakes, and he can bake 1 cake with each additional stick of
butter he buys. How many additional sticks of butter does Matthew need in order to bake a
total of 31 cakes?
Answer:
24
Step-by-step explanation:
The graph of a proportional relationship contains the point (8,4)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
Y= — X
Answer:
It is A I took it but I am not sure
Step-by-step explanation:
What is the measure of angle R?
Answer:
65
Step-by-step explanation:
The inside of a triangle is 180 degrees and the other two angles are the same so 50+65+65 =180. The answer is 65
PLEASE ANSWER ASAP!! Will give brainliest!!
i need help again on math ):
Answer:
D. 10x-20
Step-by-step explanation:
The perimeter is just all four sides added together
(3x-2)+(3x-2)+(2x-8)+(2x-8)
add together like terms
3x+3x+2x+2x=10x
-2+-2+-8+-8=-20
write in order
10x-20
HELP PLSSS 20 POINTS!!! ASAP
Answer:
60
Step-by-step explanation:
did this before so easy
Answer:
60
Step-by-step explanation:
Manuel buys 2 shirts at $24 each as well as one pair of pants for $35. He has a coupon for 30% off the shirts. What is the total price he will pay if there is 6% tax?
$58.10
$61.59
$72.72
$87.98
Answer:
Answer is a
Step-by-step explanation:
0) Select all ordered pairs that correspond to input-output pairs of the function y = -8x + 4.
A. (2, -12)
B.
(7, -52)
C.
(-8, 4)
D.
(3, -20)
