The equation that relates the number of jars of jelly bean candies and the number of containers of caramel candies is 8/16 J + 40/16 c = 10.
How to illustrate the information?The given parameters:
Weight of jelly bean can = 8 ounces
Weight of caramel candies, = 40 ounces
Amount of Jelly bean and caramel candies bought = 10 pounds
Number of ounces in one pound = 16 ounces.
Therefore, the equation that relates the number of jars of jelly bean candies and the number of containers of caramel candies is 8/16 J + 40/16 c = 10.
Learn more about equations on:
https://brainly.com/question/25970330
#SPJ1
How do you solve 5(2x-1)=9x+2 as a proof?
A new long-life tire has a tread depth of 7/16 inches, instead of the more typical 7/32 inches. How much deeper is the new tire?
Answer: The new tire is 7/32 of an inch deeper, or twice as deep.
Step-by-step explanation: The answer can be found by subtracting the old tire length from the new tire length. We must first find a common denominator. To do that, we multiply both the top and bottom of 7/16 by two and get 14/32. Now we subtract 7/32 (old tire) from 14/32 (new tire) to get 7/32.
meaning of composite numbers
Answer:
which is divisible by manufacturers are called composite numbers
Given the following: number purchased cost per unit total january 1 inventory 36 $ 5 $ 180 april 1 56 8 448 june 1 46 9 414 november 1 51 10 510 189 $ 1,552 calculate the cost of ending inventory using the weighted-average method (ending inventory shows 57 units). note: round the "average unit cost" and final answer to the nearest cent. calculate the cost of goods sold using the weighted-average method. note: round your intermediate calculations and final answer to the nearest cent.
Find the 10 th term of each geometric sequence. a₁₁ =-5, r=-1/2
The 10th term of the geometric sequence with a(11) = -5 and r = -1/2 is a(10) = 10.
A geometric sequence is a sequence of numbers where the nth term is obtained by multiplying the (n-1)th term by a constant, called a common ratio (r). Mathematically, it can be expressed as:
a(n) = a(n-1) . r
So, if a(1), a(2), a(3), ..., a(n) is a geometric sequence, then:
a(2) = a(1) . r
a(3) = a(1) . r
and so on.
In the problem, the given parameters are: a(11) = -5 and r = -1/2, and we need to find a(10).
Using the above recursion:
a(11) = a(10) . r
-5 = a(10) . (-1/2)
Multiply both sides by (-2)
-5 . (-2) = a(10) . (-1/2) . (-2)
a(10) = 10
Learn more about geometric sequence or progression here:
https://brainly.com/question/27679520
#SPJ4
PLEASE HELP
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 39. Homework Grade (x) Test Grade (y) 64 80 93 84 66 64 74 55 75 82 89 90 78 60 76 50
Answer: The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :y = 1.20x - 14.32Predicted, x = 69Using technology, the linear model can be obtained using either excel or a linear regression calculator. Using a linear regression calculator which gives the linear equation in the form :y = bx + c y = 1.20x - 14.32y = Test grade ; x = homework grade Slope, b = 1.20 ; intercept, c = - 14.32 Using the model equation obtained : Test grade, y = 68Homework grade, x y = 1.20x - 14.32 68 = 1.20x - 14.32 68 + 14.32 = 1.20x 82.32 = 1.20x x = (82.32 ÷ 1.20)x = 68.6x = 69 (nearest integer) Therefore, the estimated homework grade for a test score of 68 is 69
Step-by-step explanation: hope u get an a+!
2 (x + 6) simplify please help.
will give brainlist if good response and has details to show steps
Answer:
2(x+6)
Use the distributive property to multiply 2 by x+6.
2x+12
Step-by-step explanation:
Answer:
2x+12
Step-by-step explanation:
you simply times what is inside the bracket with what is outside
2×x= 2x
2×6= 12
then just put them back to where they were before without the brackets so:
X+6--->2x+12
hope this helps lol
Simplify the expression (62)4.
A news reporter in a city with several carbon-emitting power plants wanted to see whether local temperatures matched trends in global climate change. She
focused on the four coldest months of the year.
The table shows local temperature data from November through February for the two consecutive cold seasons checked by the reporter.
Average Monthly Temperatures (°F)
2011-2012:
November 61 1
December 51 9
January 53.6
February 56.5
2012-2013:
Nov: 64.2
Dec:56 8
Jan;48.3
Feb: 55.1
How did the mean temperature change between the two cold seasons?
You may use the calculator.
OA.
went down by 1.40
OB.
went up by 0.3°
OC.
went up by 0.9°
OD.
went up by 3.70
The mean temperature change between the two cold seasons is (b) went up by 0.3°
How to compare the mean values of both seasons?The given parameters are:
2011-2012:
November 61 1December 51 9January 53.6February 56.52012-2013:
Nov: 64.2Dec:56 8Jan;48.3Feb: 55.1The mean is calculated as
Mean = Sum/Count
So, we have
2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4
Evaluate
2011 - 2012 mean = 55.8
Also, we have
2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4
Evaluate
2012 - 2013 mean = 56.1
The difference in these mean values are
Difference = 56.1 - 55.8
Evaluate
Difference = 0.3
Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°
Read more about mean at:
https://brainly.com/question/20118982
#SPJ1
Two vertices of $\triangle ABC$ are $A\left(3,\ 0\right)$ and $B\left(7,\ 3\right)$ . Find the coordinates of $C$ on the positive $x$ -axis such that the value of the perimeter of the triangle is twice the value of the area of the triangle.
The coordinate of C=(4,0).
What is Area of triangle?The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Given:
ΔABC with
A(3, 0), B(7, 3)
let the coordinate of c(x, y)
Also, Perimeter of triangle = 2 * Area of triangle
Area of triangle=1/2 * b * h
Area=1/2 * 4 * 3
Area=1/2 * 12
Area=6 units
Perimeter= AB + BC + CA
Now,
Now, using distance formula
AB = √(7-3)² + (3-0)²
AB = √16+9
AB= 5 units
Perimeter of triangle=5+4+3
Perimeter =12
So, the coordinate of C=(0+4,0)
C=(4, 3-3)
C=(4,0)
Learn more about Area of triangle here:
https://brainly.com/question/19305981
#SPJ1
A camper lost in the woods points his compass in a random direction. Find the probability that the camper is heading in the N to NE direction.
The probability that the camper is heading in the N to NE direction when a camper lost in the woods points his compass in a random direction is 1/8.
As given,
Compass is divided into 8 sectors N→NE→E→SE→S→SW→W→NW→N
Whole compass represents the circle with area 360 degrees
Area of each sector is equal to 45 degrees
Probability that the camper is heading in the N to NE direction
=45/360
=1/8
Therefore, the probability that the camper is heading in the N to NE direction when a camper lost in the woods points his compass in a random direction is 1/8.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Write a flow proof.
Given: KM bisects ∠J M L ; ∠J ≅ ∠ L .
Prove: JM ≅ LM
We can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).
What exactly does this mean by the congruency of a triangle?Two triangles are said to be congruent if their three corresponding sides and angles are the same size.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: KM bisects ∠JML; ∠J ≅ ∠LTo Prove: JM ≅ LMFirst, prove that △JMK ≅ △LMK.
∠J = ∠L = GivenKM = KM = Common∠JMK = ∠LMK = Given: KM bisects ∠JMLSo, △JMK ≅ △LMK under AAS condition.
Then, we can say that JM ≅ LM is under the condition CPCT.Therefore, we can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).
Know more about the congruency of a triangle here:
brainly.com/question/2938476
#SPJ4
which algebraic expression is a difference with two terms
A.5y - 7
B-2y + 5 + 3
C.3y + 1
D.5(y - 6)
The expression that is a difference between two terms is:
5y - 7
which algebraic expression is a difference withtwo terms?
An algebraic expression should have at least one variable, and here we know that we should find a difference (remember that a difference is a subtraction).
And it must have two terms, then the expression is something like:
A - B
Such that A or B depend on the variable.
With this in mind, we can see that the correct option (the only subtraction with two terms) is the first one:
5y - 7
If you want to learn more about algebraic expressions:
https://brainly.com/question/4344214
#SPJ1
Write each number as a percent.
0.5
Under her cell phone plan, Caroline pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $74 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Caroline can use while staying within her budget.
The required linear equation is of the form 54.5 + 5 g = 74 , and Caroline can use 3.9 gigabytes of data to stay within budget.
There are about one or two variables in a simple linear equation. In a linear equation, no variable can be multiplied by a numerical value that is greater than one used as the fraction 's denominator.
Let us consider that Caroline uses g gigabytes of data for the month.
Therefore total cost incurred by her in one month = 54.5 + 5g
She wants to keep the value of her monthly bill at $ 74.
Therefore we can write a linear equation to solve this problem:
54.5 + 5 g = 74
or, 5 g = 74 - 54.5
or, g = 19.5 ÷ 5
or, g = 3.9
Therefore Caroline can get maximum of 3 gigabytes of data if she wants to keep the budget below $74 .
To learn more about Linear equation visit:
https://brainly.com/question/24145091
#SPJ1
Find the distance between the points (–
1,–
1) and (7,8).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
Step-by-step explanation:
In order to get answer of this question, we should use the distance formula. So, what is that formula? let us see the formula and simplify to get the answer :)
[tex]{ \red{ \tt{given}}}[/tex]
[tex]{ \orange{ \tt{(1, - 1)}}} = { \green{ \tt{(x1,y1)}}}[/tex]
[tex]{ \orange{ \tt{(7,8)}}} = { \green{ \tt{(x2,y2)}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{ {(x1 - x2)}^{2} + ( {y1 - y2)}^{2}}}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt \sqrt{ {(1 - 7)}^{2} + { (- 1 - 8)}^{2}}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{ {(6)}^{2} + {( - 9)}^{2}}}}} [/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{36 + 81}}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{117}}}} [/tex]units.
Simplify by combining like terms. 6 r+3 s+2 s+4 r
By combining the like terms, the simplified form of the expression 6r+3s+2s+4r is 10r+5s
Given,
The expression = 6r+3s+2s+4r
Rearrange the terms
6r+4r+3s+2s
Combine the like terms
6r+4r+3s+2s=(6+4)r+(3+2)s
=10r+5s
Hence, By combining the like terms, the simplified form of the expression 6r+3s+2s+4r is 10r+5s.
Learn more about algebraic expression here
brainly.com/question/19245500
#SPJ4
Make an equation equal to an odd number
rules:
1. numbers must be the same Example: 5x5
2. only 1 mathematical symbol can be used example: 5+5, 5-5, 5x5, & 5/5
Step-by-step explanation:
35×35 may be ?? ..........
A bag contains three red balls, one yellow ball and 2 green balls. two balls are drawn.the probability that at least one of the drawn balls is red?
Answer:
if the question is if the ball might be redor at least one of the balls will be red than yes I thik at least of them will be red if my answer helps at all.
9.
Farah buys
2 pens at 84p each
3 folders at £1.35 each
1 pencil case at £1.49
She pays with a £10 note.
Work out how much change Farah should get from £10.
Answer:
2 pen cost £84 each _ 2 ×84=168
3 folders cost £1.35 each_3×1.35=4.05
1 pencil cost £
Solve the problem. Show your work. Responses will be graded using the short-response scoring rubric given at the beginning of the lesson.
A regular hexagon is inscribed in a circle with a diameter of 12 centimeters. What is the exact area of the hexagon?
Area of hexagon is 93.531cm².
In the given statement is:
A regular hexagon is inscribed in a circle with a diameter of 12 centimeters.
Diameter of a circle = 12 cm.
⇒Radius of a circle = 6cm.
Length of side of hexagon = 6cm
Area of regular hexagon = (3/2) × √3 × (side)²
⇒Area of regular hexagon = (3/2) × √3 × (6)²
= (3/2) × √3 ×36
= 54 × √3
= 93.531cm².
Hence, area of hexagon is 93.531cm².
Learn more about area here
brainly.com/question/11952845
#SPJ4
What is the probability of spinning B on the first spinner and a number less than 6 on the second spinner?
Answer:
Not possible without knowing what the spinners are
Write an explicit formula for each arithmetic sequence. -2,7,16,25, . . .
Explicit formula is [tex]a_{n}[/tex] =a + (n-1)d
Here in the explicit formula of the sequence -2, 7, 16, 25....
Formula
[tex]a_{n}[/tex] = a +(n-1)d
In the formula, n is any term number and a(n) is the nth term.
This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term.
To find the 5th term, for example, we need to plug n = 5 into the explicit formula.
common difference(d) = 7 - (-2) = 16- 7 = 9
[tex]a_{5}[/tex] = -2 + 9( 5-1)
= -2 + 36
= 34
To know more about the explicit formula for arithmetic sequence refer to the link given below:
https://brainly.com/question/11468530
#SPJ4
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce packages of cashews?
b. What is the cost per ounce for the 16-ounce packages of cashews?
c. Which package is the better buy?
Answer:0-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12 , because cost per ounce for the 10-ounce package of cashews = $ is greater then cost per ounce for the 16-ounce package of cashews = $
Step-by-step explanation:
Cesar and Wendy buy a pizza for $10 that is half pepperoni and half veggie. They cut the pizza into 8 slices. If Cesar likes veggie twice as much as pepperoni, what is the value of a slice that is all veggie?
Using different mathematical operations, the price of a slice that is all vegie is calculated to be $1.25.
What are arithmetic operations?
Arithmetic operations are a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics.
Given, Cost of the pizza = $10
and number of slices = 8 (half pepperoni and half veggie)
So, number of slices containing veggies = 8/2 = 4
and cost of 4 slices containing all veggie= 10/2 = $5
Therefore, value of a slice containing all veggie = 5/4 = $1.25
To learn more about mathematical operations, click on the link
https://brainly.com/question/17260500
#SPJ1
What is p2 + 15 if p = −3?
answer:
9
explanation:
-3 * 2= -6
-6 + 15 = 9
Answer:
answer:
9
explanation:
-3 * 2= -6
-6 + 15 = 9
Step-by-step explanation:
A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams.
Which table represents the relationship between number of fluid ounces and number of fluid drams?
O A
B.
O C.
D.
Number of Fluid Ounces 12345
Number of Fluid Drams 88888
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 9 10 11 12
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 16 24 32 40
5
Number of Fluid Ounces 1 2 3 4
Number of Fluid Drams 8 16 32 64 128
Answer:
The flud dram (or flud drahm in British speling) is defined as 1⁄8 of a flud ones is is british words cop to nuber of a flud, and is ecactly ewelual to 3696691 ml in the U.S. cutomary 3.551632 ml in the British can of fluding can keep it from fluding over are heads and keep it safe from fluding but 3696691 is the number that you haft to use it order to keep it up you haft to put it in the same order
Number of Fluid Drams 88888
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 9 10 11 12 A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams. Which table represents the relationship between number of fluid ounces a...
0.00
0 votes
0
In the apothecary system, the symbol fl ℥ represents a/an A. pound. B. grain. C. fluid ounce. D. dram
Which equation in slope intercept form, matches equation shown
A• y=4/7x-4
B• y= -4/7x+1
C• y= -5/6x-4
B• y= 5/6x+1
Answer:
c
Step-by-step explanation:
If you look at the two points on the graph you can see that the point that crosses the y axis is at -4
If you use the two points and count the slope you see that it is down 5 over 6 which gives it a slope of -5/6
Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class’s scores had a mean of 68 and a standard deviation of 15. What transformations sho
In order to get standard deviation of 15. Subtract 68 from everybody's score, then divide these values by 15.
What is Standard deviation?The square root of the variance is used to determine the standard deviation. An alternative method of calculating it is to identify the mean of a data set, compare each data point to the mean, square the differences, add them all together, divide by the number of points in the data set minus 1, and then compute the square root.
To learn more about standard deviation from given link
https://brainly.com/question/475676
#SPJ1
Complete question -Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class's scores had a mean of 68 and a standard deviation of 15. What transformations should he apply to each test score? Explain.
The equation 3xy + y = 3xy^2 is (true/false) because a. you can combine all like terms with y in them. b. you can only combine like terms when they have the exact same variable or c. 3xy + y = 4xy
Answer:
b
Step-by-step explanation:
you can only combine like terms when they have the exact same variable ,
a variable can not add to any number which does not have any variable can not add to a variable.thqt is the way of my understanding
