Answer:
6:15
Step-by-step explanation:
Boys : Girls
6 : 15
Which of the following should not be used as justification in a formal proof?
Postulates
Theorems
Axioms
Venn diagrams
Answer:
Venn diagrams
Explanation:
A Venn diagram is a widely used diagram style that shows the logical relation between sets.
Identify the missing measures
Answer: The value of the question mark should be 28 Since Angles are vertically Opposite
A bag contains 12 colored marbles. Dan drew a single marble from the bag 25 times, replacing the marble each time. He recorded drawing a red marble 9 times, a yellow marble 6 times, a blue marble 4 times, and a green marble 6 times. Based on these results, what is a reasonable conclusion about the makeup of the marbles in the bag?
Select one:
more red marbles than blue marbles
no white marbles
an equal number of yellow and blue marbles
more green marbles than red marbles
Answer:
more red marbles than blue marbles
no white marbles
hope it is helpful to you
100 Points!!!!! PLEASE HELP. Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Part 2: Writing Equivalent Expressions
3. You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
a. Use either the commutative property or combine like terms to create an equivalent expression.
b. Use the distributive property to create an equivalent expression.
4. Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four-leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will overall make more money together.
Your verbal expression is good. It reflects your chosen equation.
Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Answer:
Step-by-step explanation:
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.
Part 1: Writing Expressions
Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
25(10j + 18 + 5j)
Your expression is good.
Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.
Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.
Your verbal expression is good. It refrects your chosen equation.
Part 2: Writing Equivalent Expressions
Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)
Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j
Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.
Now we can subsitute, say 7 for j.
For the first expression, we have:
25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)
= 25(70 + 35 + 18) = 25(123) = 3,075.
For the second expression, we have:
250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.
Thus, we can see that both expressions are equivalent.
Part 3: Finish the Story
Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?
Sarah found 3 + 7 = 10 shark teeth.
John found 10 / 2 = 5 shark teeth.
The total money they earned is $5 x 15 = $75.
1) an expression that looks similar would be (could be anything)
4(5j+8+4j)
2) It would become:
four times the sum of five times a number, eight, and four times the same number
3) equivalents would be 4(9j+8)
or:
4(5j)+4(8)+4(4j)
4) say J=1 for simplicity
4(9+8)
=4x17
=68
next one would be:
4x5+4x8+4x4
=20+32+16
=68
ok, this is correct.
5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.
Step-by-step explanation:
Shamus owes his parents $162. He pays them 60% of the $45 he earns as a soccer referee each week. How many weeks will it take Shamus to pay back all of the money he owes his parents?
60% of 45 would be 27
He pays his parents $27 each week
Divide 162 and 27
162/27=6
It will take 6 weeks for him to pay back his parents
A man made a loss of 4% on an article he had sold for Tzs 240 more he had made a profit of 8%. Find the cost price
Answer:
250 rupees
Step-by-step explanation:
A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.
What is the length of the other leg?
Round to the nearest tenth.
-----------------------------------------
7.0 cm
14.7 cm
22.5 cm
217.0 cm
Answer:
14.7 cm
Step-by-step explanation:
Using Pythagoras Theorem,
The length of the other leg
[tex] = \sqrt{ {19}^{2} - {12}^{2} } [/tex]
[tex] = \sqrt{217} [/tex]
[tex] = 14.730919...[/tex]
= 14.7 cm (rounded to the nearest tenth)
Find the total surface area of a sphere radius being 7cm
Answer:
A≈615.75m²
Step-by-step explanation:
Solution
A=4πr2=4·π·72≈615.75216m²
Hope this helped!!!
Please help me please
Answer:
5
Step-by-step explanation:
the prime factors of 90 are 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3 and 5 are the prime numbers.
The height , in feet, windowsills in a high-rise building is represented by this sequence: 3,15,27,39,...
Answer:
Each windowsill goes up by a factor of 12 feet, so the next numbers are 51, 63, 75(feet) and so forth
Step-by-step explanation:
3, 15, 27, 39.....
3+12= 15
15+12= 27
27+12= 39
39+12= 51
51+12= 63
63+ 12= 75
) A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 200 items, 28 are defective. a) Find the 95% confidence interval for the proportion of defectives from this production line b) Interpret the results (the interval) you got
Step-by-step explanation:
Here are the solutions:
For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.
For a 90% confidence interval of a proportion, use z = 1.645.
The limits of the interval are then:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172
The 90% confidence interval is then (0.0628, 0.1172)
For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933
In this case, the 90% confidence interval is (0.0867, 0.0933)
Thanks,
What is the
average rate of change between:
x = 1 and x = 2?
x = 2 and x = 3?
X = 3 and x = 4?
lf 9/28 of the students at Williards High school participate in after school sports activities, what fraction of the students do not participate in after school activities
Answer: 19/28
Step-by-step explanation:
9/28 participate, so that means that ? dont participate.
28/28 = 1 whole
28 - 9 = 19
so 19/28 students do not participate in after school activities.
plzzz i’ll give brainliest
Answer:
5.83
Step-by-step explanation:
Using Pythagoras Theorem,
[tex] \sqrt{ {5}^{2} + {3}^{2} } [/tex]
[tex] = \sqrt{34} [/tex]
[tex] = 5.83095...[/tex]
= 5.83 units (rounded to the nearest hundredth) +
Please answer ALL and if you do i will give brainliest. URGENT
Answer:
16: 5.934 radians
17: 300 degrees
18: 4.188 radians
19: 130 degrees
The angles shown below are supplementary:
What is the value of x?
BRAINLIEST
PLEASE HELP
SHOW WORK
Step-by-step explanation:
supplentary means they add to 180
so you can make the formula 180 = 10x + 80
then solve for x
Answer:
x = 10
Step-by-step explanation:
Supplementary angles add up to equal 180°
Thus, 10x + 80 = 180
Now that we have identified the equation we solve for x
10x + 80 = 180
step 1 subtract 80 from each side
80 - 80 cancels out
180 - 80 = 100
we now have 100 = 10x
step 2 divide each side by 10
100 / 10 = 10
10x / 10 = x
we're left with x = 10
Sketch and Write the Equation
Equation=
Ordered Pair = (-3, 5)
Slope=
y-intercept= - 5
Answer:
Y = - 5/3 x - 5
Step-by-step explanation:
if a=1 and b=2 what is the value of a²+b²?
Answer:
1^2+2^2=5
Step-by-step explanation:
Answer is 5..
Given the system of equations, what is the solution?
x + 2y = 7
x - 2y = -1
A.) {(-4, 6)}
B.) {(-8, -12}
C.) {(3,2)}
9514 1404 393
Answer:
C.) (3, 2)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(x +2y) +(x -2y) = (7) +(-1)
2x = 6 . . . . . simplify
x = 3 . . . . . . matches choice C
If you can help me with these 4 questions I'll give brainliest :))
Answer:
Mode: 86 ( a number that's repeated the most in the data set)
Range: 47 (Largest number subtracted by the smallest number in the data set)
Median: 56 (Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers)
Mean: 61 (The mean of a set of numbers is the sum divided by the number of terms).
Hope this helps!
Im on a girls basketball team , 3 are in sixth grade , 5 are in seventh grade , and 6 are in eighth grade . so which is the ratio of seventh graders to eighth graders on the team ?
Need answers ASAP please
Answer:
angle classification is acute
side classification is equilateral
Step-by-step explanation:
HELP WHAT COLOR DO I PICJ!!
Answer:
GREEN
Step-by-step explanation:
because 0.11 per oz is better than 0.12 per oz
Plz help me well mark brainliest if correct!!.....
Answer:
1st one
Step-by-step explanation:
because it is
Answer:
Option 1
Step-by-step explanation:
In the first one, the first number is lower than -2, the second is between -1 and 0, and 1+1/6 is of course bigger than 0 and smaller than 1+5/6, so it's the right answer.
The second one is the first one reversed, so it's ordered from greatest to lowest.
The third one has a negative number on both ends, but positives in the middle, so it cannot be ordered lowest to greatest. Same with the last one.
Use linear regression to find a
function that fits the following
points.
(0,5), (2,-13)
Answer:
Function that fits the points [tex](0,5),\,(2,-13)[/tex] is given by [tex]x+9y=45[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)=(0,5),\,(x_2,y_2)=(2,-13)[/tex]
Slope of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given by [tex]m=\frac{x_2-x_1}{y_2-y_1}[/tex]
[tex]=\frac{2-0}{-13-5}[/tex]
[tex]=\frac{2}{-18}[/tex]
[tex]=\frac{-1}{9}[/tex]
Equation of a line joining points [tex](x_1,y_1),\,(x_2,y_2)[/tex] is given as follows:
[tex]y-y_1=m (x-x_1)[/tex]
[tex]y-5=\frac{-1}{9}(x-0)\\y-5=\frac{-1}{9}x\\9(y-5)=-x\\9y-45=-x\\x+9y=45[/tex]
Researchers asked 250 families whether or not they were homeowners and how many cars they had. Their responses are summarized in the following table.
No car or one car Two or more cars
Homeowner
25
90
Not a homeowner
45
90
(a) what percentage of the families are homeowners?
(b) What percentage of the familles have two or more cars?
х
S
?
(b) 1%
Explanation
Check
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Answer:
A = 46%
B = 72%
Step-by-step explanation:
find the area of the figure
Answer:
25 yards squared
Step-by-step explanation:
Answer:
area =27
Step-by-step explanation:
The pie chart shows the results of a survey on
students' favourite subjects.
a What fraction of the students chose Science?
b 60 students chose Maths.
i How many students chose Languages?
ii How many students chose Other?
jii How many students took part in the survey?
Favourite subjects
380 1200
O Mathis
Languages
Science
Art
DOther
90° 42
sh
o
a
Answer:
Step-by-step explanation:
http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf
You can find it in this site
The amount of time (in minutes per day) spent on social media for a sample of 10 teens has a mean of 186.7 and a sample standard deviation of 19.99. An independent sample of 8 older adults has a mean of 93.5 minutes with a sample standard deviation of 32.01. Assume that the time spent on social media is approximately normally distributed for each group. a) Determine the value of the test statistic to test H subscript 0 colon space mu subscript t e e n end subscript equals mu subscript o l d e r end subscript against H subscript A colon space mu subscript t e e n end subscript not equal to mu subscript o l d e r end subscript. b) Determine the p-value or critical value for this test at alpha equals 0.05. c) What is your conclusion about whether the two age groups spend the same average amount of time on social media
A quiz has 5 questions with answers that are either true or false. How many different combinations of answers are
possible?
Ο 10
Ο 16
Ο Ο Ο
25
Ο 32