Answer:
We have:
"70 divided by h equals 10"
We can write it in only one equation:
70/h = 10.
This is a rational equation because our variable is in the denominator of a quotient.
To solve it we can multiply by h on both sides of the equation and get:
(70/h)*h = 10*h
70 = 10*h
now we divide both sides by 10.
70/10 = (10*h)/10
7 = h.
Donavan and Jones are randomly choosing chalices to drink from. 4 of the chalices contain purified water, 5 contain spoiled milk, and 6 contain diluted flat soda. Jones gets to choose a chalice from the remaining ones after Donavan drinks from 3 of them. If the chances of Jones choosing a chalice with purified water is then 1/3, how many of the chalices that Donavan drank out of contained purified water?
Answer:
0
Step-by-step explanation:
Chalice with purified water = 4
With spoiled milk = 5
With flat soda = 6
Probability of Jones drinking from a chalice with purified water after Donovan had drank from 3 = 1/3
Probability = required outcome / Total possible outcomes
Total possible outcomes = (4 + 5 + 6) = 15
After Donovan drinks 3 :
Total possible outcomes = (15 - 3) = 12
If the probability of Jones choosing a chalice with purified water is 1/3 then :
(Required outcome / Total possible outcomes) =1 /3
(Required outcome / 12) = 1 / 3
Required outcome * 3 = 12
Required outcome = 12 / 3
Required outcome = 4
Therefore, since initial number of chalice with purified water is 4,
4 - 4 = 0
Then Donovan did not drink from a chalice containing purified water.
Find the missing value. Hint: Use the number line to find the missing value. − 7 = −7=minus, 7, equals − ( − 2 ) −(−2)minus, left parenthesis, minus, 2, right parenthesis
Answer:
The missing value is -9
Step-by-step explanation:
Given
[tex]-7 = _ -(-2)[/tex]
Required
Determine the missing value
Represent _ with a variable
[tex]-7 = x -(-2)[/tex]
Open the bracket
[tex]-7 = x -1*-2[/tex]
[tex]-7 = x + 2[/tex]
Subtract 2 from both sides
[tex]-7 - 2 = x + 2 - 2[/tex]
[tex]-9 = x[/tex]
Reorder
[tex]x = -9[/tex]
Hence, the missing value is -9
Answer:
The answer is 4=−2+6
Step-by-step explanation:
I checked on khan
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
Answer:
not a term
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
d = 11- 5 = 17 - 11 = 23 - 17 = 6
This indicate the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6, thus
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate this to 301 and solve for n
6n - 1 = 301 ( add 1 to both sides )
6n = 302 ( divide both sides by 6 )
n = 50.333....
Since n is not an integer value then 301 is not a term in this sequence.
I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have? I had $20.00 My Mom gave me $10.00. My Dad Gave me $50.00 My Aunt & Uncle gave me $100.00. I had another $5.00. How much did I have?
Answer:
you have $185 in total unless the aunt and uncle gave you 100 each, then your answer would be $285
Step-by-step explanation:
Answer:
0$
Step-by-step explanation:
simple
The expression (x-6)^2 is equivalent to
Answer:
2−12x+36
Step-by-step explanation:
Answer:
(x-6)² = (x-6)(x-6) = x² - 12x + 36
Step-by-step explanation:
A movie theater conducted a survey to see what customers preferred at the concession stand. The theater asked every fifth person who entered the movie theater every Friday for a month what his or her favorite movie snack was. Were the results of the survey valid? A. No, because the theater did not survey everyone in the theater. B. Yes, because the theater only surveyed children. C. Yes, because the theater surveyed a random sample. D. No, because the theater did not use a random sample.
Answer:
A) No because the theater did not survey everyone in the theater.
Answer:
Yes, because the theater surveyed a random sample.
Step-by-step explanation:
The survey is valid because there was a random sample. They surveyed every fifth person, so there was a variety of age groups, genders, and preferences included in the sample. Therefore, the correct answer is yes, because the theater surveyed a random sample.
Graphing Linear Equations
Answer:
Kyra=15 points
Liam=20 points
30 points=y=4/3x+5
Step-by-step explanation:
I graphed each equation and point on the graph given
HOPE THIS HELPS!!! :)
PLEASE CORRECT ME IF IM WRONG
what is the equation of the translated function, g(x), if f(x)=x^2
Answer
The vertex moved 5 units right and 2 unit up.
Hence..
g(x)=(x-5)²+2
Answer:
g(x) = (x - 5)² + 2
Step-by-step explanation:
f(x) = x²
g(x) = (x - 5)² + 2
(x-1)(x+4) write in standard form
Answer:
x^2+3x-4
Step-by-step explanation:
(x-1)(x+4)
x^2+4x-x-4
x^2+3x-4
Hope this helps ;) ❤❤❤
Answer:
y = x² + 3x -4
Step-by-step explanation:
we can use the FOIL formula
(x-1) (x+4)
x² + 4x - x -4
x² + 3x -4
therefore, the standard form would be y = x² + 3x -4
Hugh works in a Fish Packing Plant at Rocky Bay in British Columbia. He work 30 hours per week, 40 weeks a year, and earns $12.08 per hour. Find his weekly gross salary. Find his weekly net pay (deduct Federal, Provincial Income tax, CPP, EI Premiums).Calculate his yearly net pay and Calculate the percent of his gross income that is deducted each year.
Answer:
The answer is below
Step-by-step explanation:
a) Weekly gross salary is the product of the number of hours worked per week and earnings per hour. It is given as:
Weekly gross salary = number of hours worked per week × earnings per hour = 30 hrs / week × $12.08/hr = $362.4
b) Using claim code 2 for the weekly gross salary, Federal tax = $16.05, CPP = $14.61, provisional income tax = $0.6 and EI = $6.27
Total deductions = $16.05 + $14.61 + $0.6 + $6.27 = $37.53
Weekly net pay = Weekly gross salary - Total deductions = $362.4 - $37.53 = $324.87
c) Yearly net pay = weekly net pay × number of weeks in a year = $324.87 × 52 = $16893.24
d) percent of his gross income deducted yearly = weekly deductions / weekly gross income × 100% = 37.53 / 362.4 × 100% = 10.4%
Winnie is 10 years younger than her boss Greg. In 8 years, Winnie will be half as old as Greg will be then. How old is Greg now?
Answer:
12
Step-by-step explanation:
In 8 years, the difference in their ages will still be 10 years. If Winnie is half as old as Greg then, Greg will be 20 in 8 years (and Winnie will be 10).
Greg is 12 years old now.
___
Winnie is 2 years old now.
Please give me the correct answer
Answer:
Step-by-step explanation:
slant height = l = 15 mm
radius = r = 7 mm
Surface area of cone = πr (l + r) square units
= 3.14 * 7 *(15 + 7)
= 3.14 * 7 * 22
= 483.56 square mm
Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, M_{\text{day}}(t)M day (t)M, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: Mday(t)=3.5⋅(1.05)t Complete the following sentence about the weekly rate of change in the mass of the sunfish. Round your answer to two decimal places. Every week, the mass of the sunfish increases by a factor of .
Answer:
1.4071
Step-by-step explanation:
The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:
[tex]M_{day}(t)=3.5(1.05)^t[/tex]
This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.
Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]
The dot plots show 9 scores on a 10 question trivia game for two students. Select all the statements that must be true.
..
:
2
3
5
6
7
4.
Noah's scores
...
2
3
5
6
7
Jada's scores
Noah's scores have greater variability than Jada's scores.
The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
The mean of Noah's scores is greater than the mean of Jada's scores.
Noah scored better than Jada on every assignment.
Using only Noah's scores, the mean is equal to the median
d
e
Answer:
The correct statements are b, c and e.
Step-by-step explanation:
Consider the dot plot for Noah and Jada's score in the trivia game.
From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.
For the normal distribution:
Mean = Median = Mode
Noah's mean score = 5
Jada's mean score = 3
The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.
On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.
So, the correct statements are:
b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
c. The mean of Noah's scores is greater than the mean of Jada's scores.
e. Using only Noah's scores, the mean is equal to the median
The office building is 111ft high. About how tall is this in meters.?
Answer:
Hey there!
11 meters is about 36 feet tall.
Let me know if this helps :)
Answer:
you answer is :33.8328
. In an extra-curricular club with 15 members,7 people played rugby, 6 people played soccer and 4 people neither play rugby nor soccer. How many people played both rugby and soccer?
Answer:
2
Step-by-step explanation:
In the above question, we are given the following information:
Total member in the club = 15
Rugby = n(R) = 7
Soccer = n(S) = 6
Neither Rugby nor Soccer = 4
Rugby and soccer = n( R ∩ S) = (Unknown)
Total number of club members = n(R) + n(S) - n( R ∩ S) + Neither Rugby nor soccer
15 = 7 + 6 - n( R ∩ S) + 4
15 = 17 - n( R ∩ S)
15 - 17 = - n( R ∩ S)
-2 = - n( R ∩ S)
n( R ∩ S) = 2
Therefore, the number of people that played both rugby and soccer is 2
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Option A) A = 100(1.005)^12t
Step-by-step explanation:
The formula for Total Amount obtained using compound interest is given as:
A = P( 1 + r/n) ^nt
Where
A = Total amount received or obtained after investing
P = Principal or Initial Amount invested
r = interest rate
n = rate or number of times the interest is compounded
t = time in years.
In the question we obtained this values
P = $100
r = 6% = 0.06
n = compounded monthly, we have 12 months in a year, hence, n = 12
t = t
Using the compound interest formula for Amount A,
A = P( 1 + r/n) ^nt
A = 100(1 + 0.06/12)^12 × t
A = 100(1 + 0.005)^12t
A = 100(1.005)^12t
Therefore, the value of Mari's Investment if the interest is compounded monthly is
A = 100(1.005)^12t
Hence, Option A is correct.
Write an expression for two times the difference of eight and d.
Answer:
The answer is
2( 8 - d)Step-by-step explanation:
From the question difference in the statement means subtraction
So the statement
two times the difference of eight and d is written as
2( 8 - d)Hope this helps you
Answer:
the answer is 2( 8 - d) I got the same answer and got it right
Step-by-step explanation:
fill in the table with whole numbers to make 2.8 in three different ways i do not get this qestion can you help me
Answer: what table? u need to add an attachment
Step-by-step explanation:
The table containing whole number express 2.8 as the sum or difference.
To express 2.8 as the sum or difference of whole numbers.
There are three different ways to do it:
1. As a sum of whole numbers:
2 + 0.8 = 2.8
2. As a difference of whole numbers:
4 - 1.2 = 2.8
3. Another way as a sum of whole numbers:
1 + 1.8 = 2.8
The table will be:
Representation Whole Number 1 Whole Number 2 Result
1 2 0.8 2.8
2 4 1.2 2.8
3 1 1.8 2.8
As each row represents a different way to represent the number 2.8 using whole numbers.
Learn more about Whole number here:
https://brainly.com/question/29766862
#SPJ3
HELP I WILL NAME YOU BRAINLIEST!! Given: Circumscribed polygon ACEG B, H, F, D -points of tangency AB=5, CD=4, DE=3, FG=2 Find: Perimeter of ACEG
Answer:
perimeter = 28
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
AH = AB = 5
GH = GF = 2
EF = ED = 3
CB = CD = 4
Sum the 8 parts for perimeter of polygon ACEG
perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28
Listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. construct aâ scatterplot, find the value of the linear correlation coefficientâ r, and find theâ p-value of r. determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. use a significance level of alpha α equals = 0.05 0.05. internet users 78.0 78.0 79.0 79.0 56.2 56.2 68.3 68.3 77.9 77.9 38.2 38.2 award winners 5.5 5.5 8.8 8.8 3.3 3.3 1.7 1.7 10.8 10.8 0.1 0.1
Answer:
There is not sufficient evidence to support a claim of linear correlation between the two variables.
Step-by-step explanation:
The data provided is as follows:
X Y
78 5.5
79 8.8
56.2 3.3
68.3 1.7
77.9 10.8
38.2 0.1
(a)
The scatter plot is attached below.
(b)
Use the Excel function: =CORREL(array1, array2) to compute the correlation coefficient, r.
The correlation coefficient between the number of internet users and the award winners is,
r = 0.797.
(c)
The test statistic value is:
[tex]t=r\sqrt{\frac{n-2}{1-r^{2}}}[/tex]
[tex]=0.797\times\sqrt{\frac{6-2}{1-(0.797)^{2}}}\\\\=0.797\times 3.311372\\\\=2.639163484\\\\\approx 2.64[/tex]
The degrees of freedom is,
df = n - 2
= 6 - 2
= 4
Compute the p-value as follows:
[tex]p-value=P(t_{n-2}<2.64)=0.057[/tex]
*Use a t-table.
p-value = 0.057 > α = 0.05
The null hypothesis will not be rejected.
Thus, it can be concluded that there is not sufficient evidence to support a claim of linear correlation between the two variables.
MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete that needs is $58.07.
THIS IS THE COMPLETE QUESTION BELOW;
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet
Answer:
OPTION D is correct
d)6feet
Step by step Explanation:
We were given The price of concrete as $98 per cubic yard
Price= $98 /yrd³
But 1 foot = 12 inches
1 yard = 3 feet
Square both side we have,
Then 1yrd³ = 27 ft³.
So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows
$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³
If we denote the width of the portion as "y"
then the volume of the rectangular portion of the driveway =
= (8 ft) (1/3 ft) x = 8y/3 ft³
But we're given The total cost of the concrete Matt needs as $58.07,
Total cost = $58.07 = (8y/3)(98/27)
y= 5.99957 ft= 6feet
Therefore, the width of the portion of the driveway is 6feet
Multiply, if possible.
Answer:
2
3
-5
0
Step-by-step explanation:
2×0+1×2=2
2×1+1×1=3
2×-3+1×1=-5
2×-2+1×4=0
Answer:
[tex]\large \boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
[tex]{\mathrm{view \ attachment}}[/tex]
Desmond is 2 inches taller than Niki. If we let w represent Nikis height in inches, write an algebraic expression for Desmonds height. Enter your answer as an expression. Example: 3x^2+1
Answer:
w + 2
Step-by-step explanation:
Niki's height = w in
Desmond height = w + 2
Answer:
w+2
Step-by-step explanation:
Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.
What is the difference between {2,3} and {{2,3}}
[tex]\{2,3\}[/tex] is a set containing two elements - numbers 2 and 3
[tex]\{\{2,3\}\}[/tex] is a set containing one element - a set [tex]\{2,3\}[/tex]
i give u 5 star help me :))))))))))))
Answer:
parallel is 5x + 3y = 13
perpendicular is 6x - 10y = 7
Step-by-step explanation:
When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten? It should be written as 8x−15x. It should be written as −2x−5x. It should be written as x−8x. It should be written as −x−7x. I think it should be B but im not quite sure Is the given equation a quadratic equation? x(x−6)=−5 The equation is not a quadratic equation because there is no x2-term. The equation is a quadratic equation because there is an x2-term. The equation is not a quadratic equation because the expression is not equal to zero. The equation is not a quadratic equation because there is a term with degree higher than 2. For this one i think its A but once again im not sure. Which of the following is an example of the difference of two squares? x2−9 x3−9 (x+9)2 (x−9)2 this one i have no clue i would appreciate it if anyone could explain this one.
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
Factor by grouping.
need help right now please
its 4
x=4
[tex]4^{2}[/tex]-2x4
16-8
=8
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]x^2 - 2x = 8[/tex]
Step 1: Subtract 8 from both sides.
[tex]x^2 - 2x - 8 = 8 - 8\\x^2 - 2x - 8 = 0[/tex]
Step 2: Factor left side of equation.
[tex]( x+2) ( x - 4) = 0[/tex]
Step 3: Set factors equal to 0.
[tex]x + 2 = 0[/tex] or [tex]x - 4 = 0[/tex]
[tex]x = -2[/tex] or [tex]x = 4[/tex]
Answer : -2 , 4
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
At Horatio's machining company, it takes 2 minutes to manufacture each part and 10 minutes to pack all the parts for an order. Write an expression that shows how many minutes it will take to complete an order, assuming there are x parts in an order.
Answer:
f(x) = 2x + 10
Step-by-step explanation:
Let's call this function f(x), where f(x) is time to get the order ready and x is the number of parts:
f(x) = 2x + 10 Is the expression of this function.2x is the time to manufacture all parts of the order and 10 min is the time to pack them.
Answer:
2x + 10 is the correct answer :)
the lines on a 2 cup liquid measuring cup divide each cup into eighths. if you measure 1 3/4 cups of water between which two quantities can you be certain the exact measurement will be?
Answer:
1 3/4 cups is between the 13th and 15th lines from the bottom.
Step-by-step explanation:
The bottom of the cup has no line and corresponds to 0 eights.
1st line up: 1/8 cup
2nd line up: 2/8 cup this is also called 1/4 cup
3rd line up: 3/8 cup
4th line up: 4/8 cup this is also called 1/2 cup
5th line up: 5/8 cup
6th line up: 6/8 cup this is also called 3/4 cup
7th line up: 7/8 cup
8th line up: 8/8 cup this is also called 1 cup
9th line up: 9/8 cup
10th line up: 10/8 cup this is also called 1 1/4 cup
11th line up: 1 3/8 cup
12th line up: 1 4/8 cup this is also called 1 1/2 cup
13th line up: 1 5/8 cup
14th line up: 1 6/8 cup this is also called 1 3/4 cup
15th line up: 1 7/8 cup
16th line up: 1 8/8 cup this is also called 2 cups
1 3/4 cups is between the 13th and 15th lines from the bottom.
