Answer:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Step-by-step explanation:
Given:
Number of fruits cans = 24
Number of veggies cans = 60
William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.
For this:
We have to find the GCF (greatest common factor) of 24 and 60.
GCF by listing out the factors method.
Factors of 24 : [tex]1,2,3,4,6,8,12,24[/tex]
Factors of 60 : [tex]1,2,3,4,5,6,10,12,15,20,30,60[/tex]
So,
The greatest common factor of [tex]24[/tex] and [tex]60[/tex] is [tex]12[/tex].
The number of bags William will used for equal distribution = [tex]12[/tex]
Now,
We have to distribute the veggies and fruits in equal number of cans to these [tex]12[/tex]bags.
Number of fruits cans used in each bag = [tex]\frac{24}{12} = 2[/tex]
Number of vegetables can used in each bag = [tex]\frac{60}{12} =5[/tex]
We can say that:
William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.
Final answer:
By computing the greatest common divisor (GCD) of 24 and 60, it is determined that William can create 12 equal bags with each bag having 2 cans of fruit and 5 cans of vegetables.
Explanation:
The student is asking how to divide 24 cans of fruit and 60 cans of vegetables into bags such that each bag contains the same number of cans without any leftovers. This requires finding the greatest common divisor (GCD) of 24 and 60, which is 12. Therefore, William can make 12 bags, with each bag containing 2 cans of fruit and 5 cans of vegetables.
Which inequality is equivalent to
−4t≥28
?
Answer:
t ≤ -7
Step-by-step explanation:
−4t≥28
−4/4 * t ≥ 28/4
−1 * t ≥ 7
-t ≥ 7
t ≤ -7
which graph represents decreasing distance with increasing time?
Answer: B, the second one
Step-by-step explanation:
In the first one your distance stays the same while your time increases. The second one the distance decreases as the time increases, the third one is a double increase and than the last one the distance stays the same as the time increases and than changes to Decrease increases
Answer:
B is the corrcet one! :)
Step-by-step explanation:
Whích strand of mRNA would be made during transcription using the DNA
strand shown below?
AGC GCT
O A. UCG CGU
O B. TCG CGA
O C. UCG CGA
O D. AGC GCT
In both DNA and RNA, pairs are formed between cytosine and guanine. In DNA, adenine pairs with thymine, but in RNA it pairs with uracil.
So the corresponding mRNA strand would be
C. UCG CGA
Answer:
UCG CGA
Step-by-step explanation:
Use symbols Replace each with a number to make /24 >1/4 > 4/ a true statement
The numbers that replaces each blank to make the inequality a true statement are 48 and 32. The new inequality is 48/24 > 1/4 > 4/32.
In Mathematics and Euclidean Geometry, an inequality is a relation that compares two or more numbers and variables in an algebraic equation based on any of the following inequality symbols:
Less than or equal to (≤).Greater than (>).Greater than or equal to (≥).Less than (<).Based on the information provided, we can logically deduce the following incomplete inequality;
_/24 > 1/4 > 4/_
In order to make the left-hand side of the inequality true, we must have a number that is greater 1/4 or 0.25;
48/24 = 2
48/24 > 1/4
2 > 0.25 (True)
In order to make the right-hand side of the inequality true, we must have a number that is less than 1/4 or 0.25;
4/32 = 0.125
1/4 > 4/32
0.25 > 0.125 (True).
In conclusion, any number that is greater than 1/4 would make the left-hand side of the inequality true while any number that is less than 1/4 would make the right-hand side of the inequality true.
Complete Question:
Use symbols. Replace each __ with a number to make _/24 >1/4 > 4/_ a true statement.
Identify the terms and like terms in the expression. 7+4p-5+p+2q
Final answer:
The terms in the expression are 7, 4p, -5, p, and 2q. The like terms in the expression are 4p and p. To simplify the expression, the like terms can be combined by adding their coefficients.
Explanation:
The terms in the expression are:
74p-5p2qLike terms in the expression are terms that have the same variable(s) raised to the same power. In this expression, the like terms are:
4p and pTo simplify the expression, we can eliminate the like terms by combining their coefficients. Adding 4p and p, we get 5p. Therefore, the simplified expression is:
7 + 5p - 5 + 2q
It is not possible to find the values of p and q without additional information.
A function g(x) has x-intercepts at ( 1/2,0) and (6,0). Which could be g(x)?
g(x) = 2(x + 1)(x + 6)
g(x) = (x-6)(2x - 1)
g(x) = 2(x - 2)(x-6)
g(x) = (x + 6)(x + 2)
g(x) = (x-6)(2x - 1)
Step-by-step explanation:
when you expand, it will be 2x²-13x+6=0
when you factories the quadratic equations,
the answer will be 1/2 and 6
Answer:
g(x) = (x-6)(2x - 1)
Step-by-step explanation:
ameson downloaded one digital song for $1.45, two digital songs for $2.90, and 5 digital songs for $7.25. Enter and solve an equation to find the cost to download 25 digital songsUse n for your independent variable and c for your dependent variable. The equation is Total cost of 25 songs is .
The equation is c = 1.45 n
Total cost of 25 songs is $36.25
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the rate of changeb is the initial value (value y at x = 0)∵ The cost of downloaded one digital song is $1.45
∵ The cost of downloaded two digital song is $2.90
∵ The cost of downloaded five digital song is $7.25
- There is a linear relation between the cost of downloading
the songs and the number of songs
∵ 2.90 = 2 × 1.45
∵ 7.25 = 5 × 1.45
∴ The total cost of downloaded songs is the product of the number
of songs and the cost per song
∵ The cost per song is 1.45
∵ n is the independent variable
∴ n represents the number of songs
∵ c is the dependent variable
∴ c represents the total cost of n songs
- Now we can write the linear equation
∴ c = 1.45 n
The equation is c = 1.45 n
∵ 25 digital songs downloaded
∴ n = 25
∵ c = 1.45 n
∴ c = 1.45(25)
∴ c = 36.26
Total cost of 25 songs is $36.25
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I don't understand this question I'm supposed to be graphing
x+y is equal or less than 3 plz help
y≤ 3 when x is 0 and x≤ 3 when y is 0
The graph is attached in figure below
Step-by-step explanation:
We need to graph x+y is equal or less than 3
Writing in mathematical form:
[tex]x+y\leq 3[/tex]
For solving we find x and y intercepts
The y-intercept can be found by putting x=0, y is :
[tex]0+y \leq 3\\y\leq 3[/tex]
y≤ 3 when x is 0
The x-intercept can be found by putting y=0, x is :
[tex]x+y \leq 3\\x+0\leq 3\\x\leq 3[/tex]
x≤ 3 when y is 0
Plotting these values on the graph:
The graph is attached in figure below
Keywords: Solving inequalities
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Give line XY with coordinates X(3,1) and Y(3,-3), find the length of line XY
Answer:
4 units
Step-by-step explanation:
Distance formula:
[tex] \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]
[tex]length \: of \: line \: xy \\ = \sqrt{(3 - 3 )^{2} + (1 - ( - 3))^{2} } \\ = \sqrt{(1 + 3)^{2} } \\ \ = \sqrt{4^{2} } \\ = 4 \: units[/tex]
Or since both coordinates lie at x=3, the line is a vertical line so you can simply count the increase in y to find the distance of the line.
1-(-3)= 4 units
3. Sandwich shop customers can choose the bread and meat they want.
The table shows the sandwiches that were sold on a given day.
White Bread Wheat Bread
Ham
22
24
Turkey
21
22
Tuna
What is the experimental probability that the next sandwich sold will be
tuna on wheat bread?
25
23
The experimental probability of the next sandwich sold being tuna on wheat bread is 23 out of 137 sandwiches sold, or approximately 0.168.
Explanation:The problem describes an experimental probability scenario where stopping after having recorded multiple outcomes does not affect the probability of the next outcome. Experimental probability is calculated by taking the number of times an event occurs and dividing it by the total number of trials.
In this case, a total of 137 sandwiches were sold (22 ham on white bread + 24 ham on wheat bread + 21 turkey on white bread + 22 turkey on wheat bread + 25 tuna on white bread + 23 tuna on wheat bread). Out of these, 23 were tuna on wheat bread.
The experimental probability of the next sandwich being a tuna on wheat bread is therefore 23/137, or approximately 0.168, if this same pattern continues.
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A Physician orders Amoxicillin 500mg by mouth every 8 hours for a patient to treat Bronchitis. The pharmacy has available 250 mg tablets.
How many tablets will you dispense for a 10-day supply?
Answer:
60
Step-by-step explanation:
2of the 250mg pills 3times a day=6 pills a day for 10 days = 60 pills
Emily served 15.08 ounces of soup to her family of 4. How much soup did each person eat?
Answer: 3.77 ounces is the correct answer hope this helps
Answer:
Step-by-step explanation:
Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides. Assume both bikers ride at a constant rate. Which biker rides at a greater speed? Include all of your calculations in your final answer.
Time in hours (x) Distance in miles (y)
1.5 17.25
2 23
3.5 40.25
4 46
The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 15 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 15/1
=> y= 15 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
15 > 11.5
which means Jeremy rides at a greater speed.
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Is x=4 solution to equation, x divided by 8 is 2? Show your work and explain how you know
HELP ME!!! IM STUCK
Answer:help with mine ples
Step-by-step explanation: beause i need it orther wise i fail
What is 24 % 0.4 in mathematics
What is 10m-3(2m-9)=9(m-1)+1
Answer:
a linear equation with a solution of m = 7
Step-by-step explanation:
The equation is a linear equation in m.
Perhaps you want the value of m that is the solution to the equation.
10m -6m +27 = 9m -9 +1 . . . . . eliminate parentheses
4m +27 = 9m -8 . . . . . . . . . . . . collect terms
35 = 5m . . . . . . . . . . . . . . . . . . add 8-4m to both sides
7 = m . . . . . . . . . divide by the coefficient of m
The solution is m = 7.
1
-
-x+y=-5
9x-y=-11
Answer:
look at the picture shown
8(x+2)=56 HELP PLZZ ANYONE
Use the Distributive Property to solve the equation.
Answer:
x = 5
Step-by-step explanation:
1. 8 (x + 2) = 56 Distribute the 8
2. 8x + 16 = 56 Subtract 16 from both sides
3. 8x = 40 Divide both sides by 8
4. x = 5
What is the constant of proportionality Y/X
Please help! I will give brainliest to CORRECT ANSWER!!
Answer:
3.5/1
Step-by-step explanation:
(0,0)
(3.5,1)
Kathy found $0.29. Now she has a total of $1.00. How much money did Kathy have to start?
Answer:
71 cents
Step-by-step explanation: Well it would be $1.00 minus the 29 cents she just got So 100 minus 29 is 71 it’s easy to do it in your head just think of 100 minus 30 and it’s 70 then subtract 1 from 30 and add it to the 70
Answer:
$0.71
Step-by-step explanation:
make $1.00 "100"* and $0.29 "29"* and subtract 100 and 29 to get "71" then turn the "71" into $0.71**
* this is done by making it a percentage by moving two units to the right
** this is done by making it a decimal by moving to units to the left
52.3 is what percent of 1046
Answer:
it is 5%
Step-by-step explanation:
How many unique ways are there to arrange the letters in the word TIGER?
Answer:
120
Step-by-step explanation:
Because it is lol
120
What is the method of arranging object?The number of ways of arranging n unlike objects in a line is n! (pronounced ‘n factorial’). n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1.
In the words TIGER there are 5 letters T,I,G,E,R.
The number of unique ways are there to arrange the letters in the word TIGER=5!=5*4*3*2*1=120.
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GHI = JKL. Which statement is FALSE.!?
URGENT 15 POINTS
What is the greatest possible probability in any experiment?
A. 9/10
B. 1
C. 10
D. 100
Answer:
B) GREATEST POSSIBLE PROBABILITY in any experiment is 1.
Step-by-step explanation:
The probability of any event E is given as:
[tex]\textrm{Probability of any event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}}[/tex]
Let us assume the the number of TOTAL OUTCOMES of any event E = n
Now, if the event is a SURE EVENT, then all outcomes are favorable events.
So, the total number of maximum favorable events = n
[tex]\textrm{Probability of event E} = \frac{\textrm{Number of favorable events}}{\textrm{Total Number of outcomes}} = \frac{n}{n} = 1[/tex]
Hence, the GREATEST POSSIBLE PROBABILITY in any experiment is 1.
If the length of the radius of a circle is doubled, how does that affect the circumference and area?
The circumference will be doubled if radius is doubled
The area will increase four times if radius is doubled
Step-by-step explanation:
We will solve the question in two parts.
One for circumference and one for Area
Circumference:
The formula for circumference is given by:
[tex]C = 2\pi r[/tex]
Here r is the radius.
Doubling the radius means that new radius will be 2r
The new circumference will be:
[tex]C_N = 2\pi (2r)\\C_N = 2(2\pi r)\\C_N = 2C[/tex]
Hence,
The circumference will be doubled if radius is doubled
Area:
The area of circle is given by:
[tex]A = \pi r^2[/tex]
Putting radius equal to 2r
[tex]A_N = \pi (2r)^2\\A_N = \pi (4r^2)\\A_N = 4(\pi r^2)\\A_N = 4A[/tex]
Hence,
The area will increase four times if radius is doubled
Keywords: Circle, area
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which ordered pair are solutions to this equation? y=2x-3
To find the solutions to the equation y = 2x - 3, substitute different x-values and solve for y.
Explanation:The given equation is y = 2x - 3.
To find the ordered pairs that are solutions to this equation, substitute different x-values and solve for y.
Let's take the first ordered pair (294.5, 61) as an example:
Plug in x = 294.5 into the equation: y = 2(294.5) - 3Simplify: y = 589 - 3 = 586Therefore, the ordered pair (294.5, 61) is not a solution to the equation y = 2x - 3.
Repeat the same process for the other two ordered pairs to determine if they are solutions to the equation.
What is the value of x in the solution to the system
Answer:
whats the equation???
Step-by-step explanation:
Solve the system of linear equations bus graphing
y=1/2x+3
y= -2/3x-5
(1,3)
Answer:
The solution of [tex]y = \frac{1}{2} x + 3[/tex] and [tex]y = -\frac{2}{3} x - 5[/tex] is (-6.857, -0.429)
Step-by-step explanation:
The solution of y = 1/2 x + 3 and y = -2/3 x -5
is (-6.857, -0.429) . The solution is shown in the graph attached.
3 hats and 2 scarves costs £12.
5 hats and 4 scarves costs £21.
Find the cost of a hat.
Find the cost of a scarf.
Answer: Hat: £3 Scarf: £1.50
Step-by-step explanation:
hope this helps
The cost of a hat is £2 and the cost of a scarf is £1.5, obtained by solving the system of simultaneous equations representing the cost relationships.
Explanation:To solve this problem, you need to use a method called simultaneous equations. We denote the cost of a hat as 'h' and the cost of a scarf as 's'.
Then, we write down two equations based on the problem:
3h + 2s = 12 (Equation 1) 5h + 4s = 21 (Equation 2)
From Equation 1, we express 'h' as (12 - 2s) / 3. Substituting this into Equation 2 leaves us with a sole variable 's', after calculating this equation, you obtain s = 1.5, Substituting s into the first equation, we get h = 2. So, the cost of a hat is £2 and the cost of a scarf is £1.5.
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