6lbs of apples for 33.60
Answer:
If that's the whole question then what exactly are we trying to solve here?
Step-by-step explanation:
Old MacDonald had a farm. On this farm he had some cows and chickens. When he “took stock” (counted), the farmer had 15 animals and 44 legs. How many cows and chickens did Old MacDonald have?
Answer:
7 Cows and 8 Chickens
Step-by-step explanation:
Note that cows have four legs each and chickens have two legs each.
if there were only cows, then 15 cows times 4 legs for each cow would give 15 x 4 = 60 legs. 60 is greater than 44, so some (maybe all) of the animals are chickens.
If there were only chickens, then 15 chickens times 2 legs for each chicken would give 15 x 2 = 30 legs. 30 is less than 44, so we have confirmed that there is a mixture of both cows and chickens on the farm.
One approach would be to build a table of possibilities:
Total legs will equal number of cows times 4 plus number or chickens times 2 and we know the total number of animals is 15, so we keep cows plus chickens equal to 15 and just keep adding a cow and subtracting a chicken and do the math until.we get 44 legs. We know that it will take less than 13 tries, since we already ruled out 15 cows or 15 chickens. We'll start with 1 cow and 14 chickens and go from there
1 Cow + 14 Chickens = (1 x 4) + (14 x 2) = 4 + 28 = 32 legs
2 Cows + 13 Chickens = (2 x 4) + (13 x 2) = 8 + 26 = 34 legs
3 Cows + 12 Chickens = (3 x 4) + (12 x 2) = 12 + 24 = 36 legs
4 Cows + 11 Chickens = (4 x 4) + (11 x 2) = 16 + 22 = 38 legs
5 Cows + 10 Chickens = (5 x 4) + (10 x 2) = 20 + 20 = 40 legs
6 Cows + 9 Chickens = (6 x 4) + (9 x 2) = 24 + 18 = 42 legs
7 Cows + 8 Chickens = (7 x 4) + (8 x 2) = 28 + 16 = 44 legs
We can stop here because we can see that 7 Cows and 8 Chickens have a total of 44 legs.
Another way to approach this is to use algebra and to make is shorter to write we can assign a variable to each item and relate them in some way.
Let's use the letter x to stand for cows and the letter y to stand for chickens so we don't have to keep writing chickens and cows. x and y are just common letters to use, by the way, could use w and k perhaps since cow has a w and chicken has a k...sadly they both start with c, so we can't use that for both.
We know a couple different, but related, things.
One thing we know is that the total number of animals is 15. We can write that as:
x + y = 15
That means cows (x) plus chickens (y) equals 15.
A second thing we know is that the total number of legs is 44. We can write that as
4x + 2y = 44
That means 4 times x (cow) plus 2 times y (chicken) is equal to 44 since each cow has 4 legs and each chicken has 2 legs.
Since we now have two related equations and two variables we can solve for the variables.
If we take the first equation and rearrange it, by subtracting x from both sides, we can see that one way to do it is the following
y = 15 - x
That means the number of chickens (y) is equal to 15 minus the number of cows (x). As long as we do the same thing on both sides of the equals sign the equation is still.equal...you will see this again below.
Now we can then substitute 15 - x for y in the second equation and then all we have is x in that equation. (We can do this because y is equal to 15 minus x...they both have the same value and mean the same thing...they are equal to each other)
4x + 2(15 - x) = 44
As you can see, we now have 2 times 15 minus x where we had 2 times y before. If we multiply the 2 through we get because 2 times 15 is 30 and 2 times x is 2x
4x + 30 - 2x = 44
We can subtract the 2x from 4x and we get
2x + 30 = 44
Now we can subtract 30 from both sides of the equation because as long as we do the same thing on both sides of the equals sign the equality holds true
2x + 30 - 30 = 44 - 30
30 minus 30 is zero and 44 minus 30 is 14 so now we have
2x = 14
If we divide both sides by two, we still maintain the equality and we get x on one side as 2x divided by 2 is 1x or just x and we get 7 on the other side as 14 divided by 2 is 7
x = 7
That means we have 7 Cows as x represents cows, so half the problem solved
If we now go back to our first equation,
x + y = 15
We can replace x with 7 and get
7 + y = 15
We can subtract 7 from both sides and maintain the equality and isolate y
7 - 7 + y = 15 - 7
Again, 7 minus 7 is zero so we have isolated y and 15 minus 7 is 8
y = 8
This means we have 8 Chickens since y represents chickens
Once again we have shown that Old MacDonald has 7 Cows and 8 Chickens
A factory received a shipment of 19 bolts, and the vendor who sold the items knows there are 7 bolts in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the bolts in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 7 bolts is selected, find the probability that all in the sample are defective. If a sample of 7 bolts is selected, find the probability that none in the sample are defective.
Answer:18
Step-by-step explanation: 19-7=12 bolts and 7+7=14 so 12-14=18
If a sample of 7 bolts is selected, then the probability that all in the sample are defective = [tex]\frac{7}{50388}[/tex]
If a sample of 7 bolts is selected, then the probability that none in the sample are defective = [tex]\frac{66}{4199}[/tex]
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
What is the formula for combination?[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
For given question,
Out of 19 bolts, 7 bolts are defective.
So 19 - 7 = 12 bolts are non-defective.
If sample of 7 bolts is selected.
The total number of ways of selecting 7 bolts from the 19 bolts.
Using combination formula,
[tex]^{19}C_7\\\\=\frac{19!}{7!(19-7)!} \\\\=50388[/tex]
Let event A: all bolts in the sample are defective
n(A) = 7
So the probability that all in the sample are defective would be,
[tex]P(A)=\frac{7}{50388}[/tex]
Let event B: no bolt in the sample are defective
This means the sample of 7 bolts has non-defective.
The total number of ways of selecting 7 bolts from the 12 non-defective bolts.
Using combination formula,
[tex]^{12}C_7\\=\frac{12!}{7!(12-7)!}\\\\ =792[/tex]
son n(B) = 792
So, the probability that none in the sample are defective would be,
[tex]P(B)=\frac{792}{50388} \\\\P(B)=\frac{66}{4199}[/tex]
Therefore, If a sample of 7 bolts is selected, then the probability that all bolts in the sample are defective = [tex]\frac{7}{50388}[/tex]
If a sample of 7 bolts is selected, then the probability that none in the sample are defective = [tex]\frac{66}{4199}[/tex]
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?
A.)p is reflected over the y-axis and then tranlated 6 units right and 4 units up.
B.)p is reflected over the x-axis and then translated 6 units left and 4 units up
C.)p is reflected over the y-axis and then translated 6 units left and 4 units down.
D.)p is reflected over the x-axis and then translated 6 units right and 4 units down.
Answer:
A
Step-by-step explanation:
(X) =x3 to the function q(x-6)3-4
Direction: Solve the given problems.
6. Two numbers are in the ratio of 2:3 If the bigger number is 6. what is the smallest one
_7. What number compared with 6 is the same as 36 compared to 6?
8. There are 24 red roses for every 6 roses. How many red roses are there if there
are 8 roses?
9.There are 7 children for every 2 adults in a plaza. How many adults are there,
if there are 21 children?
10.1f 12 pencils are bought for P60, how much will you pay for 25 pencils
Ratio of two numbers = 2:3
The larger number = 6
Let the smaller number be x.
Which means :
[tex] =\tt 2 : 3 \: = \: x : 6[/tex]
[tex] = \tt \frac{2}{3} = \frac{x}{6} [/tex]
[tex] =\tt 2 \times 6 = 3 \times x[/tex]
[tex] =\tt 12 = 3x[/tex]
[tex] =\tt x = \frac{12}{3} [/tex]
[tex]\hookrightarrow\color{plum}\tt \: x = 4[/tex]
▪︎Therefore, the smaller number = 4
○=> Solution (7) :36 compared to 6 = [tex] \tt \frac{36}{6} [/tex]
Let the number be x.
Which means :
[tex] = \tt \frac{36}{6} = \frac{x}{3} [/tex]
[tex] =\tt \frac{36 \div 2}{6 \div 2} = \frac{x}{3} [/tex]
[tex] =\tt \frac{36}{6} = \frac{18}{3} [/tex]
▪︎Therefore, the fractional number [tex] \tt \frac{18}{3} [/tex] is equal to [tex] \tt \frac{36}{6} [/tex].
○=> Solution (8) :Number of Rose's for 24 red Rose's = 6
This can be written in a ratio as 24:6
Number of roses = 8
Let the number of red roses for these roses be x.
Which means :
[tex] =\tt \frac{24}{6} = \frac{x}{8} [/tex]
[tex] =\tt 24 \times 8 = 6 \times x[/tex]
[tex] =\tt 192 = 6x[/tex]
[tex] =\tt x = \frac{192}{6} [/tex]
[tex]\hookrightarrow \color{plum}\tt x = 32[/tex]
▪︎Therefore, 32 red roses are there if there are 8 roses.
○=> Solution (9) :Number of children for 2 adults = 7
This can be written in a ratio as 7:2
Number of children in the plaza = 21
Let the number of adults be x.
Which means :
[tex] = \tt \frac{7}{2} = \frac{21}{x} [/tex]
[tex] =\tt7 \times x = 2 \times 21 [/tex]
[tex] =\tt 7x = 42[/tex]
[tex] =\tt x = \frac{42}{7} [/tex]
[tex] \hookrightarrow \color{plum}\tt \: x = 6[/tex]
▪︎Therefore, 6 adults were there in the plaza.
○=> Solution (10) :Cost of 12 pencils = P60
Cost of 1 pencil :
[tex] = \tt \frac{60}{12} [/tex]
[tex] =\tt P5[/tex]
Thus, the cost of one pencil = P5
Cost of 25 pencils :
= Cost of one pencil × 25
[tex] =\tt 5 \times 25[/tex]
[tex] \color{plum}=\tt \: P \: 125[/tex]
▪︎Therefore, the cost of 25 pencils = P125
HELP!!! Problem solving with Angles! <3
Answer:
x= 41 degrees
Step-by-step explanation:
We know that 76+63+x= 180 degrees, so 139+x= 180
If you rearrange it, it becomes x= 180-139 or x= 41 degrees
Answer:
The answer is 41
Step-by-step explanation:
This a a supplementary angles that add up to 180°. Therefore, if we had this in the equation we get 180° ---> 76 + 63 + 41 =180
Brainliest?
solve the equation with variables on the same side.
4b-2=6
Answer:
b = 2
Step-by-step explanation:
4b −2 = 6
First. Add 2 to both sides
4b −2 = 6
+2 +2
4b = 8
Second. Divide both sides by 4
4b/4 8/4
b = 2
Hope I helped!!
The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?
Answer:
4.242;
$500.276 ; $46.724
Step-by-step explanation:
Given the regression equation :
value = -123.298 + 4.242 revenue
y = - 123.298 + 4.242x
y = team value ; x = Revenue
(a) What is the slope of this line?
From ;
y = mx + c
Where ; m = slope
Comparing the equation with, the model equation ;
mx = 4.242x ; Hence, slope, m = 4.242
(b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue.
Predicted value of hornets based on their revenue :
Revenue = $147,000,000
y = - 123.298 + 4.242(147)
y = - 123.298 + 623.574
y = 500.276
Predicted value is about $500.276 million.
What is the error in this prediction?:
Error = Actual - predicted value
Error = 547 - 500.276 = $46.724 million
Jamal has $15.00 to spend at the concession stand. He buys nachos for $7.50, and he wants to purchase some sour straws for $1.50 each. How many sour straws can Jamal purchase with the money that he has?(solve with inequality/solve for x)
Answer:
x = 5
$15.00 is the total amount of money Jamal has right? To find the remaining amount of money Jamal has subtract 15 - 7.5 (price of nachos) = 7.5 (remaining amount of money Jamal has.) Now for part 2, since the sour straws are $1.50 each you just have to multiply X to get close as close to the remaining amount of money as possible.
1.50× 5 (amount of sour straws) is equal to 7.50 (price of 5 sour straws).
To check your answer let's add the price of nachos (7.50) and 5 sour straws (7.50) which is 15.00 the total amount Jamal brought with him.
Let me know if you have any other questions :)
Answer:
I do not know
Step-by-step explanation:
Which digit in the following number is the one that determines its precision?
10.846
Answer:
The precision is determined by the POSITION of the number 6 - NOT its value.
ANSWER THIS PLEASE WILL GIVE BRAINLEST
Answer:
i think it is 11%
Step-by-step explanation:
cause there is 11 of 20
if you share 7 apples equally with three people then there are two and one thirds
Answer:
1.55555555
Step-by-step explanation:
7 - 2 1/3
4 2/3
4 2/3 /3
=1.5555555
1
2
(x − 106) = 12 + 7x
Answer:
X=−10
Step-by-step explanation:
i hope this helps you ^_^
have a nice day/night
Equation/Question:
1/2(x-106)=12+7x
Answer/Steps to answer: (x= -10)
1. Simplify 1/2(x-106) to x-106/2.
x-106/2=12 + 7x
2. Multiply both sides by 2.
x−106=24+14x
3. Subtract x from both sides.
−106=24+14x−x
4. Simplify 24+14x-x to 24+13x.
-106=24+13x
5. Subtract 24 from both sides.
-106-24=13x
6. Simplify -106-24 to −130.
-130=13x
7. Divide both sides by 13.
130/13=x
8. Simplify 130/13 to 1010.
-10=x
9. Switch sides.
x=-10
-------------
Checking:
1/2(x−106)=12+7x
1. Let x=-10x=−10.1
1/2(−10−106)=12+7×−10
2. Simplify -10-106 to −116.
1/2×−116=12+7×−10
3. Move the negative sign to the left.
-116/2=12+7×−10
4. Simplify 116/2 to 58
−58=12+7×−10
5. Simplify 7×−10 to −70.
−58=12−70
6. Simplify 12-70 to −58.
−58=−58
Done by NeighborhoodDealer
Help ASAPP LIKE PLSSS SO FAST PLS
Answer:
0.44 and 44/100
Step-by-step explanation:
A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is $24. The total cost to rent 3 chairs and 5 tables is $45. What is the cost to rent each chair and each table?
Step-by-step explanation:
6c+2t=24
3c+5t=45
8t=64
t=8
c=1.66
A temperature probe registers a temperature
of -124° C. If the probe's temperature increases
by 8 °C per hour, after how many hours will it
be at a temperature of 4°C?
Answer:
16 hours
Step-by-step explanation:
Given
[tex]Initial = -124[/tex]
[tex]Rate = 8[/tex] per hour
Required
Determine the number of hours it gets to 4 degrees
Let the temperature at every hour, h be T.
So, we have:
[tex]T = Initial + Rate * h[/tex]
[tex]T = -124+ 8* h[/tex]
[tex]T = -124+ 8h[/tex]
To calculate the time it gets to 4 degrees. We first substitute 4 for T; then solve for h
[tex]4 = -124+ 8h[/tex]
Collect Like Terms
[tex]8h = 4 + 124[/tex]
[tex]8h = 128[/tex]
Solve for h
[tex]h = \frac{128}{8}[/tex]
[tex]h = 16[/tex]
Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to calculate the z-score for a student who scores a 83 on the final exam. The mean and the standard deviation scores on the exam are 72 and 5, respectively. Calculate the z-score.
Answer:
[tex]\boxed {\boxed {\sf z=2.2}}[/tex]
Step-by-step explanation:
The z-score tells us how many standard deviations a value is away from the mean.
The formula is:
[tex]z=\frac{x- \overline{x}}{s}[/tex]
where x is the value, [tex]\overline {x}[/tex] is the mean, and s is the standard deviation.
We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.
[tex]x=83 \\\overline {x}= 72 \\s=5[/tex]
Substitute the values into the formula.
[tex]z=\frac{83-72}{5}[/tex]
Solve the numerator.
[tex]z=\frac{11}{5}[/tex]
Divide.
[tex]z=2.2[/tex]
The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.
The attachment im confused?
Answer:
? confused
Step-by-step explanation:
Answer:
Me too
Step-by-step explanation:
The surface area of a right circular cone is 20 cm. The radius of the base and the slant height are each multiplied by 5, enlarging the cone. What is the surface area of the new cone?
Answer: The answer is B. 50
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
i took the test
Use the distributive property to find 3(13+5) written as an equivalent expression.... helpp
Answer:
the distributive property of 3(13+5)=(3*13)+(3*5)=39+15=54
18 multiple by 3 answer 57
A drama class has a total of 39 students. The number of males is 9 more than the number of females. How many males and how many females are in the class?
Answer:
Step-by-step explanation:M+F=39
M+F=39
F=M-9
Substitute
M + M - 9 = 39
2M = 48
M=48/2
M=24
24+F=39
F=39-24=15
F=15, M=24
Answer:
15 females
24 males
Step-by-step explanation:
Given;
39 students total
9 more male student than female
1. Set up an equation
Call the number of female student "x"
Since there are 9 more male students, the number of male students is (x + 9),
Assuming those are the only genders in the class, the equation formed is;
females + males = total
x + x + 9 = 39
2. Solve,
Simplify and inverse operations;
x + x + 9 = 39
2x + 9 = 39
2x = 30
x = 15
15 females
24 males
THINK SMARTER
Julie wants to make a drawing that is the size of
the original drawing. Sahil makes a drawing that is the size of the
original. A tree in the original drawing is 12 inches tall. What will be the
difference between the height of the tree in Julie's and Sahil's drawings?
Please help
Answer:
1 in
Step-by-step explanation:
We are given that
Height of tree in original drawing=12 in
Julie's drawing tree height=1/4 of original size
Sahil's drawing tree height=1/3 of original size
We have to find the difference between the height of the tree in Julie's and Sahil's drawings.
Height of tree in Julie's drawing=[tex]\frac{1}{4}\times 12[/tex]in
Height of tree in Julie's drawing=3 in
Height of tree in Sahil's drawing=[tex]\frac{1}{3}\times 12[/tex]in
Height of tree in Sahil's drawing=4 in
Difference between the height of the tree in Julie's and Sahil's drawings=4 in-3in
Difference between the height of the tree in Julie's and Sahil's drawings=1 in
I WILL GIVE BRAINLIEST PLS PLS PLS HELP ITS DUE TOMORROW PLS DO ALL FOR BRAINLIEST
Answer: Sorry but I don't know which one to do and can you move it too the left a little bit so I may see the whole sentence?
Step-by-step explanation:
SOMEONE PLEASE HELP ME PLEASE SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP
Answer:
The answer is 8
Step-by-step explanation:
If this answer helped you then please consider marking this as brainliest and like this respone :)
URGENT!!!!!! PLEASE ANSWER !!!!!!
7) Grace earns $18 per hour working as a math tutor. Write and solve an
inequality that can be used to find how many hours she must work in a week to
earn at least $378.
_6)
Answer:
The equation is 18h=378
h=21
Step-by-step explanation:
So first you have to set up the equation
so if she makes 18 dollars an hour the first part of the equation would be 18h
She made 378 dollars in one week so now the equation is 18h=378
The answer is h=21 because 378/18 is 21
Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20
Answer:
20 because 40 is a positive and spent is negative
Step-by-step explanation:
The formula to convert degrees Fahrenheit degrees Celsius is C = (F - 32) Which formula can be used to convert degrees Celsius to degrees Fahrenheit?
Answer:
(°C×9/5)+32= 32°F is the answer
Rolando is 13. In five years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years.
help me please!!!!!!!1111
1. Find the slope of the line using the points (10, 4) and (20, 0).
Answer:
10/-4 or 5/-2
Step-by-step explanation:
use y2-y1/x2-x1 equation.