Answers
The algebraic expression for the phrase "the quotient of y and 6" is y / 6
The difference of -3 - 4 is -7.
How to solve algebraic expression?The algebraic expression of the following phrase "the quotient of y and 6" is as follows:
Quotient is a quantity produced by the division of two numbers.
Therefore, the algebraic expression for the phrase "the quotient of y and 6" is y / 6
The difference of -3 - 4 can be calculated as follows:
The difference of -3 - 4 is -7.
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Related Questions
find teh exact value of sin 2x given that sec x = 3/2 and csc y = 3 and x and y are in quadrant 1
Answers
The exact value of \(sin 2x\) is \(4√5/9.\)
Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.
In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)
Also, we know that sin \(2x = 2 sin x cos x.\)
Now, we need to find sin x.
Having sec x = 3/2, we can use the Pythagorean identity
\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)
As x is in the first quadrant, it lies between 0° and 90°.
Therefore, x cannot be negative.
Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)
Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)
Therefore, the exact value of sin 2x is 4√5/9.
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Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive.
How much honey does Bert's new beehive hold?
Answers
Answer:
Answer:
200
40/6=6.66666667
30*6.66666667=200
=200
Carter has 143 songs pn a playlist. He's categorized them in the following manner: 7 classical, 19 rock, 29 hip hop, 16 gospel, 13 pop, 24
country, and 35 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song?
Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Plssss help
Answers
Answer:
19/ 143
Step-by-step explanation:
There are 19 rock songs out of 143 total
P(rock) = number of rock songs/ total
= 19/ 143
How many terms are in this expression?
6q + 7r
Answers
Answer:
3 terms
Step-by-step explanation:
The larger of two numbers is 7 more than 5 times the other. Their sum is 55. Find the two numbers.
Answers
Answer:
Step-by-step explanation:
8 and 47
5×12÷[-12÷{15+(4-3)}]
Answers
Answer: -80
Step-by-step explanation:
Two siblings Edwin and Rhea are both going skiing but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea's plan was a bundle where her entire day cost $108. Set up an inequality that models the number of trips, n, up the mountain for which Edwin will pay more than Rhea. Solve the inequality. Also, what is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
Answers
Answer:
n>12
Step-by-step explanation
45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
If x and y are any random variables with e(x) = 5, e(y) = 6, e(xy) = 21, v(x) = 9 and v(y) = 10, then the relationship between x and y is a:______.
Answers
The relationship between x and y is a strong negative relationship.
For this question, we need to determine the correlation coefficient,
Thus,
The correlation coefficient
= (21 - 5*6)/ \(\sqrt{9 * 10}\)
= -0.948
The above answer is too close to -1. Therefore correlation coefficient is a strong negative.
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6. A piece of cardboard is cut in an L-shape as
shown below. Find the total area of the
cardboard
Am
10m
12m
Answers
Answer: a= 120
Step-by-step explanation:A = height times width, 10 times 12 is 120 :)
3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0 \({12{\frac{m}{s}}}\) and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0 \({12{\frac{m}{s}}}\)
Answers
\(\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \)
\(\huge\underline{\sf{\red{Problem:}}}\)
3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0 \({12{\frac{m}{s}}}\) and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0 \({12{\frac{m}{s}}}\)\(\huge\underline{\sf{\red{Given:}}}\)
\(\quad\quad\quad\quad\sf{mass \: 1 \: = \: 6000 \: kg}\)
\(\quad\quad\quad\quad\sf{velocity\: 1\: = \: 2.0\: m/s}\)
\(\quad\quad\quad\quad\sf{mass \: 2\: = \: 3000 \: kg}\)
\(\quad\quad\quad\quad\sf{velocity\: 2\: = \: 3.0\: m/s}\)
\(\huge\underline{\sf{\red{Fomula:}}}\)
\(\quad\quad\quad\quad\boxed{\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}}\)
\(\huge\underline{\sf{\red{Solution:}}} \)
\(\quad\quad\quad\quad\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}\)
\(\quad\quad\quad\quad\sf{vf\: = \frac{(6000 \: kg)(2.0\:m/s)+(3000\:kg)(3.0\:m/s)}{(6000\:kg)+(3000\:kg)}}\)
\(\quad\quad\quad\quad\sf{vf\: = \frac{(12,000kgm/s)+(9,000\:kgm/s)}{(9,000kg)}}\)
\(\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \: kgm/s}{9000kg}}\)
\(\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \cancel{ \red{ kg}}m/s}{9000 \cancel{ \red{kg}}}}\)
\(\quad\quad\quad\quad \sf{vf\: = \boxed{ \sf{ 2.33 \:m /s}}}\)
\(\huge\underline{\sf{\red{Answer:}}}\)
\(\huge\quad\quad \underline{ \sf{\boxed{ \sf{ \red{ 2.33 \:m /s}}}}}\)
\(\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \)
\(\sf{\red{︎✰}ShineBrighter\red{︎✰}}\)
\(\sf{✍︎ C.Rose\red{❀}}\)
ฅ^•ﻌ•^ฅ
wendy’s offers eight different condiments (mustard, ketchup, onion, mayonnaise, pickle, lettuce, tomato, and relish) on hamburgers. a store manager collected the following information on the number of condiments ordered and the age group of the customer. what can you conclude regarding the information? who tends to order the most number of condiments? number of condimentsage under 1818 up to 4040 up to 6060 or older 012182452 121765030
Answers
The age group "18 up to 40" tends to order the highest average number of condiments, indicating their preference for more condiments on hamburgers.
Based on the provided information, we can conclude the following regarding the number of condiments ordered by different age groups:
Age Group: Under 180 condiments: 12 customers
1 condiment: 21 customers
2 condiments: 39 customers
3 condiments: 71 customers
Age Group: 18 up to 400 condiments: 18 customers
1 condiment: 76 customers
2 condiments: 52 customers
3 condiments: 87 customers
Age Group: 40 up to 600 condiments: 24 customers
1 condiment: 50 customers
2 condiments: 40 customers
3 condiments: 47 customers
Age Group: 60 or older0 condiments: 52 customers
1 condiment: 30 customers
2 condiments: 12 customers
3 condiments: 28 customers
To determine which age group tends to order the most number of condiments on average, we can calculate the average number of condiments ordered for each age group based on the provided data:
Age Group: Under 18
Average number of condiments = ((0 * 12) + (1 * 21) + (2 * 39) + (3 * 71)) / (12 + 21 + 39 + 71) = 2.26
Age Group: 18 up to 40
Average number of condiments = ((0 * 18) + (1 * 76) + (2 * 52) + (3 * 87)) / (18 + 76 + 52 + 87) = 2.39
Age Group: 40 up to 60
Average number of condiments = ((0 * 24) + (1 * 50) + (2 * 40) + (3 * 47)) / (24 + 50 + 40 + 47) = 2.07
Age Group: 60 or older
Average number of condiments = ((0 * 52) + (1 * 30) + (2 * 12) + (3 * 28)) / (52 + 30 + 12 + 28) = 1.43
Based on the averages, the age group "18 up to 40" tends to order the highest average number of condiments (2.39), followed by the age group "Under 18" (2.26), "40 up to 60" (2.07), and "60 or older" (1.43).
Therefore, on average, the age group "18 up to 40" tends to order the most number of condiments.
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·\(3\sqrt{10}\ times -6\sqrt{30}\)
Due by 12:23
Answers
Answer:
-180√3
Step-by-step explanation:
3√10 x - 6√30
= 3x-6 x -√10 x √30
= -18 x√300
= -18 x 10√3
= -180√3
Help pls I put in a photo
Answers
Answer:
m∠D = 49°
m∠E = 41°
m∠F = 90°
Step-by-step explanation:
We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.
Given:
90° + 5x° + 14° + 3x° + 20° = 180°
Combine like terms:
8x° + 124° = 180°
Subtract 124 from both sides of the equation:
8x° = 56°
Divide both sides of the equation by 8:
x = 7
Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.
m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°
ill give brainlest pls
Answers
Answer:
$5.00
Step-by-step explanation:
Answer:
5.00
Step-by-step explanation: this question was already answered but i need the points :p
1. Which of the following is a true statement?
a. To square
a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number who's
square root is an even number
GR-
Answers
Answer:
C
Step-by-step explanation:
Because if you multiply a number by 2 instead of it self like 3x2 instead of 3x3
you would get a multiple of 2 not its square
Dewayne buys two types of cheese. Cheese 1 costs $7 per pound and Cheese 2 costs $10 per pound. Dewayne buys a total of 3 pounds of
cheese for a total cost of $27. 75.
How many pounds of each type of cheese did Dewayne buy?
Answers
Dewayne bought 0.75 pounds of Cheese 1 and 2.25 pounds of Cheese 2.
Let's assume that Dewayne bought x pounds of Cheese 1 and y pounds of Cheese 2.
We know that Dewayne bought a total of 3 pounds of cheese, so
x + y = 3
We also know that the total cost of the cheese was $27.75. The cost of x pounds of Cheese 1 is 7x, and the cost of y pounds of Cheese 2 is 10y. So,
7x + 10y = 27.75
Now we have two equations with two variables,
x + y = 3
7x + 10y = 27.75
We can solve for one of the variables in terms of the other in the first equation,
x = 3 - y
Substitute this into the second equation,
7(3-y) + 10y = 27.75
Simplify and solve for y,
21 - 7y + 10y = 27.75
3y = 6.75
y = 2.25
So Dewayne bought 2.25 pounds of Cheese 2. We can use the first equation to find how much he bought of Cheese 1,
x + 2.25 = 3
x = 0.75
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Write a simplified expression for the area of the rectangle.
Length: 9.6x+7
Width: 2.5
Answers
Answer:
\(a = l \times w \\a=(9.6x + 7) \times 2.5 \\ a = ( \frac{48}{5} x + 7) \times \frac{5}{2} \\ a = \frac{121}{10} x + \frac{35}{2} \\ a = 12.1x + 17.5 \: \: units ^{2} \)
Step-by-step explanation:
hopefully this makes sense
:)
Copy and complete:
__:11= 1/3 :6
Answers
Answer:
11/18:11=1/3:6
Step-by-step explanation:
x:11=x/11 so
x/11=1/3/6
x /11=1/3*6
x=11/18
Please help meeeee for 10 points
Answers
Answer:
A:4/5
Step-by-step explanation:
plug in the numbers into their respective variables and get
4/(3+2)
Add 3 and 2 and final answer is
4/5
I need help on this question can you tell me what the blanks are pls
Answers
Answer:
sorry I wish I can help you
Step-by-step explanation:
convert 23 millimeters to centimeters
Answers
I need help with the following problem:
Catalin works in an office. One week he divides his time between these tasks:
1/4 of his time in meetings
5/8 of his time writing reports
the rest of his time doing the accounts
He spends a total of 6 hours doing the accounts
Find the total number of hours he works in the week. How would I go about solving this problem?
Answers
Answer:
Catalin works 48 hours during the week.
Step-by-step explanation:
Since Catalin divides his weekly worktime using 1/4 of his time in meetings, 5/8 of his time writing reports and the rest of his time doing the accounts, and he spends a total of 6 hours doing the accounts, to find the total number of hours he works in the week the following calculation must be performed:
1/4 + 5/8 = X
1/4 + 2.5 / 4 = X
3.5 / 4 = X
0.5 = 6
(4 / 0.5) x 6 = X
8 x 6 = X
48 = X
Therefore, Catalin works 48 hours during the week.
Apply the distributive property to factor out the greatest common factor.
4+10=
Answers
Answer:
Step-by-step explanation:
the GCF of 4 + 10 is
2(2 + 5)
Sam has $20. She buys 6 bags of chips and has $2 left over. Write and solve an equation to determine the cost of one bag of chips.
Answers
20-2=6x
18=6x
X=18/6
X=3
Using the slope formula, find the slope of the line through the points (0,0) and (4,8).
Answers
Answer:
Slope = 2
Step-by-step explanation:
m(slope) = y2-y1/x2-x1
8-0/4-0
m = 2
What is the rate of change of the amount of
chocolate chips with respect to the amount of oats
used in this recipe?
Answers
The rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe is \(2\frac{2}{3}\).
In the given question we have find the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe.
The graph of the given question is given below:
The rate of change of the amount of chocolate chips/The amount of oats used in this recipe = (6 - 3)/(\(2\frac{1}{4}-1\frac{1}{8}\))
We firstly simply the mixed fraction
= 3/(\(\frac{9}{4}-\frac{9}{8}\))
= 3/(\(\frac{19-8}{8}\))
= 3/\(\frac{9}{8}\)
Now simplifying
= (3×8)/9
= \(2\frac{2}{3}\)
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The complete question is:
The table shows the linear relationship between the amount of chocolate chips in ounces and the amount of oats in cups used in dessert recipe_ What is the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe?
What equation is solved by the graphed systems of equations?
A. 7x+3=x+3
B. 7x-3=x-3
C. 7x+3=x-3
D. 7x-3=x+3
Answers
Answer:
Option C: 7x + 3 = x - 3
Step-by-step explanation:
We have to manually solve.
Option A: \(7x+3=x+3\)
\(7x - x = 3 - 3\\6x = 0\\x = 0\) -------------> False
Option B: \(7x-3=x-3\)
\(7x-x=3-3\\6x=0\\x=0\) ----------> False
Option C: \(7x+3=x-3\)
\(7x-x=-3-3\\6x=-6\\x=-1\)--------------------> True
Option D: \(7x-3=x+3\)
\(7x-x=3+3\\6x=6\\x=1\)--------------> False
Hence, after solving, it is shown that option C is the correct answer.
Answer:
C. 7x +3 = x -3
Step-by-step explanation:
Such an equation is graphed by resolving it into two equations:
p = q
becomes ...
y = p and y = q
__
use answer choices for a clueThe left-side expression in every answer choice has an x-coefficient of 7. When those expressions are written in equation form, they match the slope-intercept form ...
y = mx +b . . . . . . . line with slope m and y-intercept b
The line with slope 7 on the graph has a y-intercept of +3. Its equation will be ...
y = 7x +3
__
The right-side expression in the answer choices matches that of a line with a slope of 1. The line on the graph with a slope of 1 has a y-intercept of -3. In slope-intercept form, it is ...
y = x -3
The system of equations corresponding to the graph is ...
y = 7x +3y = x -3In the original p = q form, this is ...
7x +3 = x -3 . . . . . . . matches choice C
20% of Taddes’s salary is lost away and only 100 birr is left. Find his full salary.
Answers
Answer:
125 birr
Step-by-step explanation:
80%=100
1%=1.25
100%=125
Which of the following is equivalent to log (2x - 5) = 4
a) 2x-5=4¹⁰
b) 2x-5=10⁴
c) 2x-5=2⁴
d) 2x-5=4
Answers
Answer:
option d is equivalent to the term
Un avión que parte del reposo se acelera uniformemente hasta una velocidad de despegue de 85m/s en un periodo de 5 segundos
Answers
Answer:
I have questions about how to make the sentence easier