Answer:
System of Equations
c + r = 32 ..... Equation 1
2c + 4r = 72......... Equation 2
We have 28 chickens and 4 rabbits
Step-by-step explanation:
Let the number of chickens be represented by c
The number of rabbits be represented by r
From the question, John counts:a total of 32 heads
32 heads = a total of 32 animals
Hence:
c + r = 32....... Equation 1
c = 32 - r
Also, John counts:
A total of 72 legs in his backyard.
Chickens have: 2 legs
Rabbits have: 4 legs
Hence:
2c + 4r = 72......... Equation 2
System of Equations is:
c + r = 32 ..... Equation 1
2c + 4r = 72......... Equation 2
Lets us substitute 32 - r for c in Equation 2
2(32 - r) + 4r = 72
64 - 2r + 4r = 72
Collect like terms
- 2r + 4r = 72 - 64
2r = 8
r = 8/2
r = 4
This means we have 4 rabbits
Note:
c = 32 - r
r = 4
c = 32 - 4
c = 28
Hence, we have 28 chickens
Solve each system of equations.
1. Solve:
X-y=1
2x + y = 8
Solution
* write your answer as an ordered pair (X,Y)
Answer: {x,y} = {10,-2}
Step-by-step explanation: {x,y} = {10,-2}
1. One number added to three times another number is 24. Five times the first num
three times the other number is 36. Find the numbers.
Answer:
Let x equal the one number.
Let y equal the other number.
x + 3y = 24
5x +3y = 36
Subtract the first equation from the second equation.
4x = 12
x = 3
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Harmon’s Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Mrs. Harmon places an order for 5,500 jewelry pieces, how many should she expect to be damaged?
Answer:
She should expect 165 jewelry pieces to be damaged.
Step-by-step explanation:
5,500/500 = 11
11 x 15 = 165
The solutions to the equation f(x) = g(x) are -2 and 1. Iff and g are graphed on the same coordinate plane, which statement must be true?
The functions will intersect at x = -2 and x = 1.
The functions will intersect at y = -2 and y = 1.
Both functions will have y-intercepts at 2 and 1.
Both functions will have x-intercepts at -2 and 1.
Answer:
The correct option is;
The function will intersect at x = -2 and x = 1
Step-by-step explanation:
The question parameters are
The functions in the question are f(x) and g(x)
The solution to the equation f(x) = g(x) are -2, and 1
Given that the equations, f(x) and g(x), are both given in values of x, their solution will be the x values that satisfies both functions
Therefore, the functions will intersect (have the same values of f(x) and g(x)) at the points of the solutions, which are given as x = -2, and x = 1
The statement that should be true is the function will intersect at x = -2 and x = 1.
Given that,
The solutions to the equation f(x) = g(x) are -2 and 1. If f and g are graphed on the same coordinate plane.Based on the above information, the following information should be considered:
As the solutions represent x values that satisfied the both functions. Also, the functions should intersect that contains the same value i.e. x = -2 and x = 1.Therefore, we can conclude that the first option is correct.
Learn more: brainly.com/question/24169758
Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?
Answer:
[tex]Total\ Length = \frac{35}{8}\ ft[/tex]
Step-by-step explanation:
Given
[tex]Length = \frac{5}{8}\ ft[/tex]
[tex]Number = 7[/tex]
Required
Determine the total length
Since, he ribbons are of the same lengths.
The total length is calculated as:
[tex]Total\ Length = Length * Number[/tex]
[tex]Total\ Length = \frac{5}{8}\ ft * 7[/tex]
[tex]Total\ Length = \frac{5 * 7}{8}\ ft[/tex]
[tex]Total\ Length = \frac{35}{8}\ ft[/tex]
c
Step-by-step explanation:
Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes? (2 points)
a
one and four eighths feet
b
two and three fifths feet
c
four and three eighths feet
d
five and two fifths feet
Please help math experts need your help 15 points !
For number 2 the Awnser choices are
3
-3
5
-5
Answer:
12 = -3 - 3x
Step-by-step explanation:
Same concept as the last question I answered. First, let's derive a formula from the given model. So we have 3 negative x and 3 negative 1 which equal to 12 positive ones, this can be written as:
-3x - 3 = 12
which can be rewritten as
12 = -3 - 3x
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yes
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The domain, range, and intercepts of a function are shown. Which set of information could be characteristics of the function's inverse? domain: x ≥ -1 range: y ≥ -2 y-intercept: (0,-1) x-intercept: (1,0)
Just took the test so ik it's right
Domain: x is greater than or = to -2
Range: y is greater than or = to -1
Y-int: (0-1)
X-int: (-1,0)
Basically you just flip everything
Answer:look at explanation
Step-by-step explanation:
Jamal hiked on two trails. The first trail was 8 1 3 miles long, and the second trail was 1 3 5 times as long as the first trail. How many miles did Jamal hike? Enter your answer as a mixed number in simplest form.
Answer:Total distance( miles ) covered by Jamal =21 2/3 miles
Step-by-step explanation:
Step 1
first trail = 8 1/3 miles long
2nd trail = 1 3/5 times as long as the first
Therefore the distance walked in the 2nd trail is 1 3/5 x 8 1/3
changing to improper fraction and solving
=8/5 x 25/3= 40/3
The distance hiked by Jamal in the second trail = 40/3=13 1/3
Step 2
Total distance( miles ) covered by Jamal = first trail +2nd trail
= 8 1/3 + 13 1/3 =21 2/3 miles
Answer:
21 2/3 miles
Step-by-step explanation:
First trail = 8 1/3 miles long
Second trail = 1 3/5 times as long as the first trail
= 1 3/5 × 8 1/3
= 8/5 × 25/3
= 40 / 3
= 13 1/3 miles
How many miles did Jamal hike?
Total miles hiked = First trail + Second trail
= 8 1/3 miles + 13 1/3 miles
= 25/3 + 40/3
= 25+40/3
= 65/3
= 21 2/3 miles
Jamal hiked 21 2/3 miles
Which is an equivalent equation solved for the slope, m? m = yx + b m = m equals StartFraction y minus b Over x EndFraction. m = m equals StartFraction y Over x EndFraction minus b. – b m = y – m equals y minus StartFraction b Over x EndFraction.
Answer:
m equals StartFraction y minus b Over x EndFraction
Step-by-step explanation:
The standard equation of a line is expressed as;
y = MX+b where;
m is the slope
cmb is the intercept
We are to get the equivalent expression for finding the slope.
Make m the subject of the formula to get this as shown;
From the equation;
y =MX+b
Subtract c from both sides;
y-b = MX+b-b
MX = y-b
Divide through by x;
mx/x = (y-b)/x
m = (y-b)/x
Heme the required expression is m = (y-b)/x OR m equals StartFraction y minus b Over x EndFraction
Answer:
Answer B. ( I hope)
Step-by-step explanation:
Helppppppppppppppppp
Answer:
same
Step-by-step explanation:
[tex] {x}^{4} - 6 {x}^{3} + 22 {x}^{2} - 48x + 40[/tex]
find the zeros
Answer:
x = 2, 1 + 3i, 1 − 3i
Step-by-step explanation:
Find the Roots (Zeros)
x^4 − 6x^3 + 22x^2 − 48x + 40
Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0
Solve for x.
Factor the left side of the equation.
Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.
(x − 2) (x^3 − 4x^2 + 14x − 20) = 0
Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.
(x − 2) (x − 2) (x2 − 2x + 10) = 0
Combine like factors.
(x − 2)2 (x^2 − 2x + 10) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
(x − 2)^2 = 0
x^2 − 2x + 10 = 0
Set (x − 2)^2 equal to 0 and solve for x.
Set (x − 2)^2 equal to 0.
(x − 2)^2 = 0
Solve (x − 2)^2 = 0 for x.
x = 2
Set x^2 − 2x + 10 equal to 0 and solve for x.
Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0
Solve x^2 − 2x + 10 = 0 for x.
Use the quadratic formula to find the solutions.
−b ± (√b^2 − 4 (ac) )/2a
Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.
2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1
Simplify.
Simplify the numerator.
x = 2 ± 6i/ 2.1
Multiply 2 by 1
x = 2 ± 6i/2⋅1
Simplify
2 ± 6i/2
x = 1 ± 3i
The final answer is the combination of both solutions.
x = 1 + 3i, 1 − 3i
The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.
x = 2, 1 + 3i, 1 − 3i
angle 9 and angle 10 are corresponding and complementary angles formed by two parallel lines cut by a transversal. Find the measure of angle 9.
Answer:
45 Degrees
Step-by-step explanation:
9 and 10 are corresponding meaning that they will be the same. They are also complementary, so they equal 90 degrees when added. 90/2 is 45.
What is the slope of the line that passes through the points ( -9, -8 ) and ( -15, - 16 ) In simplest form please
Answer:
4/3
Step-by-step explanation:
The slope formula is y2-y1/x2-x1
take the y from one of the points and subtract the y from the other point, the divide that by the x of the first y you picked and subtract the x of the second y
(-16)-(-8)/(-15)-(-9)
-8/-6
simplify
4/3
the slope is 4/3
Katherine has $140 in the bank and is saving $6 per week. Abbie has $462 in the bank, but spending at a rate of $10m per week. Which equation will determine when they will have the same amount of money in the bank?
A). 140+6x=462+10x
B). 140+6x=462-10x
C). 140+10x=462-6x
D). 140-6x=462+10x
140 + 6x = 462 - 10x
Hope I helped
Have a great day
You made 15 t-shirts for beta club. A t-shirt box will hold 5 t-shirts. How many boxes do you need for all the shirts? 10 points A) 5 B) 15 C) 20 D) 3
Answer:
D) 3
Step-by-step explanation:
15 divided by 5 equals 3.. brainliest plz
X-8=3x
A) -6
B)-5
C) -4
D)-3
Aimee is in charge of buying tickets for a trip to the movies. She can buy tickets at the theater or online. At the theater, 8 tickets cost $60. Online, 6 tickets cost $51. Aimee needs to buy 24 tickets. How much money can Aimee save by buying tickets at the lower price? Show your work
Answer:
Aimee can save $24 by buying tickets at the lower price that is at the theater.
Step-by-step explanation:
First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:
Theater:
60→8
x ←24
x=(60*24)/8=180
Online:
51→6
x ←24
x=(51*24)/6=204
Now, you need to calculate the difference:
$204-$180=$24
According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.
Answer:
Aimee can save $24 by buying tickets at the lower price that is at the theater.
Just want a friend
Hi
Answer:
Meeeeeeee, I want to be your FRIEND!!! I don't have any.
I love friends and it's always nice to have someone that has your back at all times. It's also nice to have someone who shares the greatest moments with you and someone who truly cares for you. I can be your friend if you want to, but you don't have to accept me as a friend if you don't want to, but either way please don't judge this message. I didn't do it because I like you, I did it to be a nice person. Hope you're having a wonderful afternoon and have fun. Enjoy the last day of your Thanksgiving Break!!! ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️ ☺️
The area of a circle is 36n units squared.
What is the radius?
Answer:
3.385137501
OR it is 1.909859317
Step-by-step explanation:
for the first one:
36/pi which is 11.4591559, then you take the square root of 11.4591559 to get 3.385137501
For the second:
you take the square root of 36 which is 6, then you divide 6 by pi which gets you 1.909859317
BUT NOT 100% SURE THIS IS CORRECT!
HELP JUST LOOK AT PICTURE
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
Answer:
(I am not sure what the question means but according to what I understood I got these as my answers)
33 pounds = 55%
114 = 240 %
95% = 57 pounds
50 POINTS!!! WILL MARK BRAINLIEST!!!
solve numbers 16 and 18
show work please
Answer:
16) 102°18) 75°Step-by-step explanation:
16)
∠QPR = 1/2(QR + SV)
26x - 2 = 1/2(131 + 18x + 1)26x - 2 = 66 + 9x26x - 9x = 66 + 217x = 68x = 68/17x = 4∠QPR = 26*4 - 2 = 102°
18)
mBC = ?
∠BAC = 1/2(mBC + mFD)
8x + 6 = 1/2(8x + 11 + 9x - 7)8x + 6 = 1/2(17x + 4)16x + 12 = 17x + 417x - 16x = 12 - 4x = 8mBC = 8*8 + 11 = 75°
I need help again please
Answer:
6. Would be Sports City
Step-by-step explanation:
Take 180*.15= 27
Subtract 27 from 180 and you get 153.
200*.20=40
Subtract 40 from 200 and you get 160.
For 5 just multiply the discounted price by 2.
I hope I answered your question.
Which statement describes a unit rate? * 5 points Mary paid $2.50 for 3 bottles of water. Ricardo paid $17.00 for 3 pumpkins. Katherine paid $1.25 for 1 bottle of water. Joshua paid $6.00 for 3 masks.
Answer:
Katherine paid $1.25 for 1 bottle of water.Step-by-step explanation:
What is the unit rate?In this context, a unit rate is defined as the amount in dollars paid for one unit of a commodity.
In the given options, all the items are above one except
option C( Katherine paid $1.25 for 1 bottle of water.)
hence all the other amount does not correspond to the unit rate
Mary paid $2.50 for 3 bottles of water. not a aunit rate
Ricardo paid $17.00 for 3 pumpkins. not a unit rate
Katherine paid $1.25 for 1 bottle of water. a unit rate
Joshua paid $6.00 for 3 masks. not a unit rate
!!!Help!!!
Including scholarships and financial aid, Madeline has $41,000 to spend on college. If the total cost of her college education is __________, she will have enough resources to pay.
A.$44,000
B.$47,000
C.$50,000
D.$38,000
Answer:
D
Step-by-step explanation:
Please help! I’ll give brainliest!
Answer:
27 degrees withI think angle sum postulate
Step-by-step explanation:
Answer:
27 degrees The postulates used are FGT and FGH
Step-by-step explanation:
FGH is 180 degrees. FGT is 153 degrees. So 180-153 is 27. plz make due on yuor brainliest promise thank you
A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c.
Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.
What is the constant of proportionality?
miles per gallon
Answer:
Gallons | Miles
2 | 56
4 | a
B | 168
10 | c
Step-by-step explanation:
a triangle has side lengths of 14, 23, and 27. Is it a right angle ?
Answer:
No, it is not
Step-by-step explanation:
Here, we want to check if the lenghts given is that of a right angle triangle
For a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides
The hypotenuse represents the longest side
So 27^2 = 14^2 + 23^2
The difference between these is 4, and as such the triangle is not a right angled
Which describes the correlation shown in the scatterplot?
A. There is a positive linear correlation.
B. There is a negative linear correlation.
C. There is no positive or negative correlation.
D. There is a nonlinear correlation.
Answer:
C.There is no positive or negative correlation.
Step-by-step explanation:
finished Unit Test and got it correct
Answer:
C. There is no positive or negative correlation.
Step-by-step explanation:
as you can see, it is straight up and down :))