A recipe calls for 5 teaspoons of seasoning for every 6 batches of chicken. If you have 12 batches of chicken, how many teaspoons of seasoning will you need?
Answer:
10
Step-by-step explanation:
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week. (2 points) No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
9514 1404 393
Answer:
(c) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Step-by-step explanation:
Try the numbers in the constraints to see if they work.
Build hours:
(4 h/child bike)(10 child bikes) = 40 hours
(6 h/adult bike)(12 adult bikes) = 72 hours
total build hours: 40 +72 = 112, less than 120; constraint is met
Test hours:
(4 h/child bike)(10 child bikes) = 40 hours
(4 h/adult bike)(12 adult bikes) = 48 hours
total test hours: 40 +48 = 88, less than 100; constraint is met
__
Both constraints are met, so the order can be filled.
The St. Patrick's Day Parade has 214 floats in it. If each float is carrying
12 people, how many people are in the parade?
Step-by-step explanation:
214
x12
--------
428
+2140
————
2568
Amir spent a total of $53.75 on breakfast sandwiches and bagels for his friends who are visiting from out of town. Each breakfast sandwich costs $4.25, and each bagel costs $2.00. He bought 5 more bagels than breakfast sandwiches.
Write a system of equations that could be used to solve for the number of breakfast sandwiches and bagels he bought.
And solve the system of equations to determine how many bagels and sandwiches Amir bought.
The system of equations is:
2b + 4.25s = 53.75
b - s = 5
The number of bagels bought is 12 and the number of sandwiches bought is 7.
How many bagels and sandwiches were bought?2b + 4.25s = 53.75 equation 1
b - s = 5 equation 2
Where:
n = number of bagels bought s = number of sandwiches boughtThe elimination method would be used to determine the required values.
Multiply equation 2 by 2
2b - 2s = 10 equation 3
Subtract equation 3 from equation 1 :
6.25s = 43.75
Divide both sides of the equation by 2.25
s = 43.75 / 6.25
s = 7
Substitute for s in equation 1:
2b + 4.25(7) = 53.75
2b + 29.75 = 53.75
2b = 53.75 - 29.75
2b = 24
b = 24 / 2
b = 12
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can anyone help pls?
\(7 \frac{5}{8} + 4 \frac{2}{3} \)
to find:the simplest form.
solution:\( \frac{61}{8} + \frac{14}{3} \)
\( = \frac{(61 \times 3) + (14 \times 8)}{8 \times 3} \)
\( = \frac{183 + 112}{24} \)
\( = \frac{295}{24} \)
\( = 12 \frac{7}{24} \)
hence, the correct answer is option D.
Direction: Determine the center and radius of the circle within the given equation in each item. Show your solution on the space provided, then sketch its graph. x^(2)+y^(2)+6x+8y=-16
The center of the circle is (-3, -4), and its radius is sqrt(9) = 3.
To determine the center and radius of the circle within the given equation x^(2)+y^(2)+6x+8y=-16, we need to complete the square for both x and y.
First, let's complete the square for x by adding (6/2)^2 = 9 to both sides of the equation:
x^(2) + 6x + 9 + y^(2) + 8y = -16 + 9
Simplifying this equation, we get:
(x + 3)^(2) + y^(2) + 8y = -7
Next, we complete the square for y by adding (8/2)^2 = 16 to both sides of the equation:
(x + 3)^(2) + (y + 4)^(2) = 9
Now we can see that the equation is in standard form: (x - h)^(2) + (y - k)^(2) = r^(2), where (h, k) is the center of the circle and r is its radius.
Therefore, the center and radius are (-3, -4) and 3 respectively.
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Which pairs of triangles appear to be congruent? Check all that apply.
Answer:
i have no rescources
Step-by-step explanation:
What is the measure of angle y in this figure?
Enter your answer in the box.
y=__°
Answer:
sum of angles at a point is equal to 360
so, 360= 163+ x°+ y°+z°
y°=360-163 -x° - z°
y°=197- x° -z°
how many faces edges and vertices does a rectangular prism have
A rectangular prism has 6 faces, 8 vertices and 12 edges.
What is rectangular prism?
A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces). All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. Due to its shape, a rectangular prism is also called a cuboid. A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
If all the faces of the prism are squares then the rectangular prism is a cube. The volume of a rectangular prism is a measure of the space inside the prism.
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Identify an equation in slope intercept form for the LINE parrelel to y=5x+2 that passes through - 6,-1
Answer:
y = 5x-1
Step-by-step explanation:
parallel lines have the same slope.
y intercept: -1
slope: 5
- 1 is the same as +-1
so, y = 5x-1
flora travel 55km in 30 minutes if her speed remains constant how long will it take her to travel 132km
It will take Flora about 1.2 hours (or 72 minutes) to travel 132 km if her speed remains constant.
The distance is calculated by the formula below,
distance = speed × time
We know that Flora travelled 55km in 30 minutes, which is 0.5 hours (since there are 60 minutes in an hour).
So, we can find Flora's speed by dividing the distance by the time:
speed = distance ÷ time = 55 km ÷ 0.5 hours = 110 km/hour
Now we can use this speed to find how long it will take her to travel 132 km:
time = distance ÷ speed = 132 km ÷ 110 km/hour ≈ 1.2 hours
Therefore, it will take Flora about 1.2 hours (or 72 minutes) to travel 132 km if her speed remains constant.
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Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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If an event is unlikely to occur , the probability is between ___ and ___ on the probability spectrum .
Answer:
1% and 49%
Step-by-step explanation:
0% is impossible
1%-49% is unlikely
50% is as likely as not
51%-99% is likely
100% is certain
hope this helps!
6. daniel's age is 7 more than three times his
daughter lucy's age. the difference between
twice daniel's age and five times lucy's age is
24. find the ages of daniel and lucy.
help pls
Answer:
Lucy: 10
Daniel: 37
Step-by-step explanation:
Let Daniel's age be d, and Lucy's age be l.
We can set up a system of equations.
d = 7 + 3l
2d-5l = 24
We can subsitute the value of d from the first equation into the second equation.
2*(7+3l)-5l = 24
Distribute:
14 + 6l - 5l = 24
Combine like terms:
l = 10
Plug this value back into the first equation:
d = 7 + 3*10
d = 37
A
DX 105°
What is the
measure of angle D?
m/D [?]
Enter the number
of degrees.
Desired graph is attached below.
Steps to draw a desired angle are:
Draw angle ABC of measure 105 degrees.Take a point D in its interior and join BD.Measure angle ABD and angle DBC using a protractor.Add the measures of angle ABD and angle DBC together.Verify that the sum of angle ABD and angle DBC is equal to the measure of angle ABC (which is given as 105 degrees).If the sum of angle ABD and angle DBC is equal to 105 degrees, then the statement is verified.
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Complete question:
Draw an angle ABC of measure 105 degree.take a point D in its interior. Join BD. Verify by measuring that angle ABD +angle DBC=angle ABC.
In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?
The rectangle which should go in position I is rectangle A.
We are given that;
The rectangles A,B,C and D with numbers
Now,
To take the same the number of side
If we take A on 1 place
F will be on second place
And B will be on 4th place
Therefore, by algebra the answer will be rectangle A.
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The table shows the predicted and actual amount of snow for a local city.
Snowfall (inches)
Predicted 6.75
Actual 10.25
What is the percent error for the amount of snowfall? Round the percent to the nearest tenth if necessary.
Using it's concept, it is found that the percent error for the amount of snowfall was of 51.85%.
The percent error of an amount is the absolute value of the difference between the actual amount and the expected amount, multiplied by 100% and divided by the expected amount.
In this problem:
Expected amount: 6.75 inches.Actual amount: 10.25 inches.Then, the percent error is:
\(P = \frac{|10.25 - 6.75|}{6.75} \times 100\% = 51.85\%\)
The percent error was of 51.85%.
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0
100%
&
There are 16 girls and 18 boys in a class. The teacher chooses a student's name at
What is the probability that the teacher chooses a girl to answer the question?
A.
34
O
B.
16
o
C.
8
17
OD.
Ol
Answer:a
Step-by-step explanation:
Answer:
my answer iA. because 16+18 =34
a candy distributor needs to mix a 10% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate. how many kilograms of each kind of chocolate must they use?
The candy distributor needs to use 30 kilograms of 10% fat-content chocolate and 70 kilograms of 50% fat-content chocolate to create 100 kilograms of a 14% fat-content chocolate.
To solve this problem, we can use the method of mixture problems, which involves setting up a system of equations. Let x be the number of kilograms of the 10% fat-content chocolate and y be the number of kilograms of the 50% fat-content chocolate.
We have two equations based on the fat content and the total weight of the mixture:
0.1x + 0.5y = 0.14(100) (equation for fat content)
x + y = 100 (equation for total weight)
We can solve this system of equations using substitution or elimination. Using substitution, we can solve for x in terms of y from the second equation and substitute it into the first equation:
x = 100 - y
0.1(100 - y) + 0.5y = 0.14(100)
10 - 0.1y + 0.5y = 14
0.4y = 4
y = 10
Then we can substitute y = 10 back into the equation for x and get:
x = 100 - y = 100 - 10 = 90
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11x+3y from 13x+9y
(what is the word 'from' used for?)
By using the distributive property of subtraction, expression 11x+3y subtracted from 13x+9y is equal to 2x+6y.
What is Distributive Property of Subtraction?The distributive property of subtraction states that when subtracting a value from a sum, the same result can be achieved by subtracting the value from each addend separately and then finding the difference between the two results.
What is expression?An expression is a combination of numbers, variables, and operators, such as +, -, x, ÷, and parentheses, that represents a mathematical relationship or quantity. It does not contain an equals sign.
According to the given information:
In the given context, the word "from" means to subtract.
So, if we have to subtract 11x+3y from 13x+9y, we can rewrite it as:
(13x+9y) - (11x+3y)
Then, by using the distributive property of subtraction, we can simplify the above expression as follows:
13x+9y - 11x-3y
Now, combining like terms, we get:
2x + 6y
Therefore, 11x+3y subtracted from 13x+9y is equal to 2x+6y.
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phil bought a pack of 8 hamburger buns for $1.20 . how much did he pay for each bun
Answer:
.15¢
Step-by-step explanation:
1.20$ total divided by 8 and its .15¢
Given
mAOC is a straight angle.
mBOC = 6x + 29°
mAOB = 3x + 124°
Find mBOC:
Write and solve the inequality.
You can spend at most $10 at the mall. You want to buy a book that costs $6.75 and a cold drink. Write and solve an inequality to represent the amount of money you can spend on your cold drink.
member of wanna one?
help me plss
patulong naman po
Answer:
what yo are telling l can't understand your language
slips of paper numbered 1 through 14 are placed in a hat. in how many ways can two numbers be drawn so that the sum of the numbers is 12? assume the random selection is without replacement.
We are assuming that the random selection is without replacement, which means that once a slip is drawn, it is not put back into the hat.
There are 5 possible pairs of numbers that add up to 12 when drawing two slips of paper numbered 1 through 14 without replacement. These pairs are:
1 and 11
2 and 10
3 and 9
4 and 8
5 and 7
Next, we need to find the number of ways to draw each pair. Since the order in which the slips are drawn does not matter, each pair can be drawn in 2 different ways. So, for each of the 5 pairs, there are 2 ways to draw the pair.
Each pair of numbers can be drawn in 2 different order (the order in which the slips are drawn does not matter in this case), so the total number of ways to draw two slips so that the sum of the numbers is 12 is \(5 * 2 = 10\).
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Declaring variables - Declare two integer variables x and y, - Assign them any values. - Print addition/subtraction/multiplication and division of these two variables on to the screen
Submission Task (- Grade 1%) Follow the same steps asin Exercise 2, but change the step 2 to ask the user for input forthese values by using Scanner class.
Two integer variables x and y, prompts the user to enter values for them using the Scanner class, and performs addition, subtraction, multiplication, and division operations on those variables:
import java.util.Scanner;
public class VariableOperations {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter the value for x: ");
int x = scanner.nextInt();
System.out.print("Enter the value for y: ");
int y = scanner.nextInt();
// Addition
int addition = x + y;
System.out.println("Addition: " + addition);
// Subtraction
int subtraction = x - y;
System.out.println("Subtraction: " + subtraction);
// Multiplication
int multiplication = x * y;
System.out.println("Multiplication: " + multiplication);
// Division
if (y != 0) {
double division = (double) x / y;
System.out.println("Division: " + division);
} else {
System.out.println("Cannot divide by zero.");
}
}
}
This code prompts the user to enter values for x and y, performs the four basic arithmetic operations, and displays the results on the screen.
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Which shows the best estimate of the quotient of 523 divided by 67?
Answer:
7.8
Step-by-step explanation:
The best estimate of the quotient of 523 divided by 67 is 7 and the remainder is 54.
What is division?One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components. It is the basic arithmetic operation, in which you are separating the number into some parts.
Given:
The number 523 divided by 67,
When you first divide the 523 by 67 then the quotient will be 7 and the remainder will be 54.
The above phrase can be written as,
523 ÷ 67 = 67 × 7 + 54
Thus, the quotient is 7 and the reminder is 54.
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1. Can two lines that are oblique to each other be parallel? Can they intersect each other?
2.Can two lines that are oblique to a plane be parallel? Can they intersect each other?
3. Can a line be perpendicular to exactly one line of a plane?
4.Can two lines that are oblique to each other be perpendicular to each other?
5. Can two lines that are oblique to a plane be perpendicular to each other?
6. How many vertical lines are there? How many horizontal lines does each vertical line have?
7. Can two skew lines intersect? Be perpendicular? Be vertical? Be horizontal?
8. Is ever vertical line also horizontal? Is every horizontal line also vertical?
9. Can two vertical lines be perpendicular to each other? Can two horizontal lines be perpendicular to each other.
10. If two planes are parallel to the same line, are they parallel?
11. If a line intersects one of two parallel planes, will it intersect the other?
12. If two planes are parallel to a third plane, are they parallel to each other?
13. Do two lines each parallel to a plane determine a plane parallel to the given plane?
14. How many concurrent lines may be parallel to a line? To a plane?
find the area of the figure below
Answer:
36 inches²
Step-by-step explanation:
\(A=bh\) where b is the base length and h is the height
The base length of the parallelogram is 12 inches and its height is 3 inches. Plug these values into the equation.
\(A=(12)(3)\\A=36\)
Therefore, the area of the figure is 36 inches².
I hope this helps!
Answer:
yes the answer is 36in. Which mean the person is right too
3. Suppose that the scores on a statewide standardized test are normally distributed with a mean of 69 and a standard deviation of 6. Estimate the percentage of scores that were(a) between 57 and 81. %(b) above 81. %(c) below 63. %(d) between 51 and 81. %
Answer:
a) 95%
b) 2%
c) 16%
d) 98%
Explanation:
We have the following:
This is a normal distribution
Mean = 69
Standard Deviation = 6
a) Between 57 and 81%
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ x=57 \\ z=\frac{57-69}{6}=-\frac{12}{6} \\ z=-2 \\ \\ x=81 \\ z=\frac{81-69}{6}=\frac{12}{6} \\ z=2 \\ \end{gathered}\)The probability that a score is between 57 & 81 is given by the Area between (z = -2) & (z = 2):
\(\begin{gathered} P=0.97725-0.02275 \\ P=0.9545 \\ P=95.45\approx95 \\ P=95\text{ \%} \\ \\ \therefore P=95\text{ \%} \end{gathered}\)b) Above 81%
\(\begin{gathered} z=\frac{x-\mu}{\sigma} \\ x>81 \\ z=\frac{81-69}{6} \\ z=\frac{12}{6}=2 \\ z=2 \end{gathered}\)The probability that a score is above 81% is given by the area of the graph greater than (z = 2):
\(\begin{gathered} P=0.02275 \\ P=2.275\approx2.3 \\ P=2.3\approx2 \\ P=2\text{ \%} \\ \\ \therefore P=2\text{ \%} \end{gathered}\)c) Below 63%
\(\begin{gathered} x<63 \\ z=\frac{63-69}{6} \\ z=-\frac{6}{6}=-1 \\ z=-1 \end{gathered}\)The probability that a score is below 63% is given by the area of the graph lesser than (z = -1):
\(\begin{gathered} P=0.15866 \\ P=15.866\approx16 \\ P=16\text{ \%} \end{gathered}\)d) Between 51 and 81
\(\begin{gathered} 51\le x\le81 \\ z=\frac{51-69}{6} \\ z=-\frac{18}{6}=-3 \\ z=-3 \\ \\ z=\frac{81-69}{6} \\ z=\frac{12}{6}=2 \\ z=2 \end{gathered}\)The probability that a score is between 51 & 81 is given by the Area between (z = -3 & (z = 2):
\(\begin{gathered} P=0.97725-0.00135 \\ P=0.9759 \\ P=97.59\approx98 \\ P=98\text{ \%} \end{gathered}\)