6 friends are selling crafts at a show. They each need to pay $7.20 to cover the table rental. They each sell 3 items. If every item is the same price, and the 6 friends make a total of $25.20, what was the sale price of each item?
Answer:
$1.40
Step-by-step explanation:
you just divide 25.20 by 18 (6 friends x 3 items) and thats it
A coin is tossed and a six-sided dice is rolled. Find the probability of getting a head on the coin and a 6 on the dice.
Answer:
coin=50%
dice=16.67%
Step-by-step explanation:
A manager is comparing wait times for customers in a coffee shop based on which employee is
working at the register. He tracks the wait time for 100 customers when employee A is working
and 100 customers when employee B is working. The results are shown in the table.
Mean Wait Time Standard Deviation
Employee A
73 seconds
2 seconds
Employee B
74 seconds
4 seconds
Is there is a significant difference between the wait times for the two populations? Use a 0.05
significance level. Assume a one-tailed distribution to calculate your P-value. In this case,
assume that the sample standard deviation is equal to the population deviation.
Using the t-distribution, as we have the standard deviation for the sample, it is found that there is a significant difference between the wait times for the two populations.
What are the hypothesis tested?At the null hypothesis, we test if there is no difference, that is:
[tex]H_0: \mu_A - \mu_B = 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is:
[tex]H_1: \mu_A - \mu_B = 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, we have that:
[tex]\mu_A = 73, s_A = \frac{2}{\sqrt{100}} = 0.2[/tex]
[tex]\mu_B = 74, s_B = \frac{4}{\sqrt{100}} = 0.4[/tex]
For the distribution of differences, we have that:
[tex]\overline{x} = \mu_A - \mu_B = 73 - 74 = -1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.2^2 + 0.4^2} = 0.447[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{-1 - 0}{0.447}[/tex]
[tex]t = -2.24[/tex]
What is the p-value and the decision?Considering a one-tailed test, as stated in the exercise, with 100 - 1 = 99 df, using a t-distribution calculator, the p-value is of 0.014.
Since the p-value is less than the significance level of 0.05, it is found that there is a significant difference between the wait times for the two populations.
More can be learned about the t-distribution at https://brainly.com/question/16313918
A 4-pack of notebooks costs $1.11. What is the unit price, rounded to the nearest cent?
Answer:
$0.3
Step-by-step explanation:
$1.11 divided by 4 notebooks. Each notebook costs $0.3.
find the x and y intercepts
c) x + 3y - 12=0
Please help :( 5. A triangular sign was moved. The new location of the sign is represented by the shaded triangle.
Which transformations could have been used to move the sign to the new location?
A. translation 4 units right and translation 4 units down
B. rotation 180 degrees clockwise about C and translation 4 units right
C. reflection across BC and translation 4 units right
D. reflect across BC and then across AC
Answer:
reflection across BC and translation 4 units right
Step-by-step explanation:
Subjectual Test: MIDTERMCan someone please factor this for me?
4x^2-12x+9 and give a step-by-step explanation? I really don't understand how to do this.
Answer:
[tex]\left(2x-3\right)^2[/tex]
Step-by-step explanation:
[tex]4x^2-12x+9[/tex]
[tex]\mathrm{Rewrite\:in\:the\:form\:of}\:a^2+2ab+b^2:[/tex]
[tex]4x^2=(2x)^2[/tex]
[tex]9=3^2[/tex]
[tex]-12x=-2\cdot 2x\cdot 3[/tex]
[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2[/tex]
[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \:a^2-2ab+b^2=\left(a-b\right)^2[/tex]
[tex]\left(2x\right)^2-2\cdot \:2x\cdot \:3+3^2=\left(2x-3\right)^2[/tex]
[tex]=\left(2x-3\right)^2[/tex]
~Learn with Lenvy~
[tex]\\ \rm\Rrightarrow 4x^2-12x+9[/tex]
[tex]\\ \rm\Rrightarrow (2x)^2-2(2x)(3)+3^2[/tex]
So
(a-b)²=a²-2ab+b²[tex]\\ \rm\Rrightarrow (2x-3)^2[/tex]
[tex]\\ \rm\Rrightarrow (2x-3)(2x-3)[/tex]
Sherman counted up all his hockey player
cards and realized he had 100. He recently
purchased a book to organize them that
holds 5 cards on a page. If he puts 5 pages
in a section, how many sections will be have
in his book?
Answer:
4
Step-by-step explanation:
because 5 times 5 is 25 which 25 is how many cards fit in one section so 100-25=75 and so you could say that 100 divided by 25 is 4 so he will need 4 sections hope you find this helpful! :D
a party has a ratio of men to women as 8:13.Two more men join, 5 women leave. The new ratio then becomes 7:10..find the original number of people in the party both men and women?
Answer:
revenge time
Step-by-step explanation:
Mona lisa lisa moans amd complains a lot about her drink
Answer:
Just get a new drink.
Get her the similar one or any drink of her choice.
What is the length of AC? Round to the nearest tenth.
Answer:
AC = 8.7 cm (nearest tenth)
Step-by-step explanation:
Given:
[tex]\tan(30)=\dfrac{5}{b}[/tex]b = ACTo find AC:
[tex]\implies \tan(30)=\dfrac{5}{b}[/tex]
[tex]\implies b=\dfrac{5}{\tan(30)}[/tex]
[tex]\implies b=5\sqrt{3}[/tex]
⇒ b = 8.7 (nearest tenth)
Therefore, the length of AC is 8.7 cm (nearest tenth)
[tex]\\ \rm\Rrightarrow tan30=\dfrac{5}{b}[/tex]
[tex]\\ \rm\Rrightarrow 1/\sqrt{3}=5/b[/tex]
[tex]\\ \rm\Rrightarrow b=5\sqrt{3}[/tex]
[tex]\\ \rm\Rrightarrow b=8.66=8.7cm[/tex]
AC is 8.7cmplease help me solve x^2-2x-1=x+3
Answer:
x = -1 or x = 4
Step-by-step explanation:
[tex]x^2-2x-1=x+3[/tex]
subtract [tex]x[/tex] from both sides:
[tex]\implies x^2-2x-1-x=x+3-x[/tex]
[tex]\implies x^2-3x-1=3[/tex]
subtract 3 from both sides:
[tex]\implies x^2-3x-1-3=3-3[/tex]
[tex]\implies x^2-3x-4=0[/tex]
factor:
[tex]\implies x^2+x-4x-4=0[/tex]
[tex]\implies x(x+1)-4(x+1)=0[/tex]
[tex]\implies (x-4)(x+1)=0[/tex]
Therefore,
[tex]x-4=0 \implies x=4[/tex]
[tex]x+1=0 \implies x=-1[/tex]
Find the x- and y-intercepts of the equation 5x-y=10.
Definition of X-intercept: a point where the y-value of the point is equal to 0
[tex]5x - y = 10\\5x - 0 = 10\\5x = 10\\x = 2[/tex]
Therefore the x-intercept is (2,0).
Definition of Y-intercept: a point where the x-value of the point is equal to 0
[tex]5x - y = 10\\5(0)-y = 10\\-y = 10\\y = -10[/tex]
Therefore the y-intercept is (0,-10).
Hope that helps!
Each piece of fruit weighs 3/5 pounds
Write how many pieces of fruit you need so the total weight, in pounds is within the giving range
Answer:Between 1 and 1 1/2 pounds. (_8__)
Between 2 and 2 1/2 pounds. (_1_)
Which is the larger amount? a) 7/10 of 40 cm OR 2/3 of 36 cm? Select the correct option.
Answer:
40 7/10 is larger
Step-by-step explanation:
Answer:
7/10 of 40.
Step-by-step explanation:
It would be 7/10 of 40 because do you know what they equal because I bet If I Said what they equal it would be easier for you.
7/10 or 70% of 40=28
And for 2/3 or 66.67 of 36=24 so 28 is a bigger number than 24 so 7/10 of 40 is bigger.
hope this helps have a great day:)
Triangle ABC is given where m∠A = 33°, a = 15 in., and the height, h, is 9 in. How many distinct triangles can be made with the given measurements? Explain your answer.
Answer:
2 Triangles can be made with the given measurements
Step-by-step explanation:
Start by solving for side b
b = 9/sin33 = appr 16.5
9<15<16.5 there are two possible triangles
sin33/15 = sinB/16.5 = sinB=(16.5sin33)/15
B=36.9, 180-36.9=143.1 Next determine if the angles are correct
36.9+33=69.9 143.1+33=176.1 Both of these are less than 180, two triangles can be drawn.
The profit y on the number x of items a store sells is represented by the rule y = 2x - 1. What does a table of values for the function rule and the graph of the function look like?
Answer:
Attached is what the graph should look like
Step-by-step explanation:
Adah wants to buy a rug for a room that is 19 feet wide and 26 feet long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 330 square feet of carpeting. What dimensions should the rug have?
❎ No Spam
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :- Adah wants to buy a rug for room that is 19 feet wide and 26 feet long. She wants to leave a uniform strip of floor around the rug She can only afford to buy 330 sq. feet carpet. To Find :-We have to find the dimensions of the rug .Let's Begin :-Here, we have
The dimensions of Adah room that is 19 feet wide and 26 feet long.But,
She wants to leave a uniform strip of floor around the rug.Therefore,Let the width of the uniform strip of the floor be x
So, The new dimensions of the room will be
[tex]\sf{ (19 - 2x)\: \:and \: \: (26 - 2x)}[/tex]She can only afford to buy 330 sq.feetWe know that,
Area of rectangle
[tex]\bold{\red{ = Length} }{\bold{\red{\times{ Breath}}}}[/tex]
Subsitute the required values,
[tex]\sf{ ( 19 - 2x) }{\sf{\times{(26 - 2x) = 330}}}[/tex]
[tex]\sf{19(26 - 2x) }{\sf{\times{ - 2x (26 - 2x) = 330}}}[/tex]
[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]
[tex]\sf{ 494 - 38x - 52x + 4x^{2} = 330 }[/tex]
[tex]\sf{ - 90x + 4x^{2} = 330 - 494 }[/tex]
[tex]\sf{ - 90x + 4x^{2} = - 164 }[/tex]
Arrange the given terms in general quadratic equation that ax² + bx + c = 0[tex]\sf{ 4x^{2} - 90x + 164 = 0 }[/tex]
[tex]\sf{ 4x^{2} - 82x - 8x + 164 = 0 }[/tex]
[tex]\sf{ 2x( 2x - 41 ) -4( 2x - 41 ) = 0 }[/tex]
[tex]\sf{ (2x - 4) ( 2x - 41) = 0}[/tex]
[tex]\sf{ x = 2 , x = }{\dfrac{41}{2}}[/tex]
We can only take only 1 value that is x = 2 because 41/2 will give negative result and dimensions of rectangle can never be negative. Therefore,Length of the rug
[tex]\sf{ (19 - 2x) = 19 - 2(2)}[/tex]
[tex]\sf{ = 19 - 4}[/tex]
[tex]\sf{ = 15\: feet}[/tex]
Breath of the rug
[tex]\sf{ (26 - 2x) = 19 - 2(2)}[/tex]
[tex]\sf{ = 26 - 4}[/tex]
[tex]\sf{ = 22\:feet}[/tex]
Hence, The dimensions of the rug are 15 feet and 22 feet.
help me out on this one i will give u brainlyiest
Answer:
12 4/8Step-by-step explanation:
1. First step
ADD
7+4=11
7+5=12
so
11[tex]\frac{12}{8}[/tex]
2. Second step
Now simplify
11 12/8 = 12 4/8 = 12 1/2
----------------------------------------------------------------------------------------------------------
Thanks!
Answered by: FieryAnswererGT
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complete the following sentece ussing the correct term. 14 is a of 7 and 14
Yesterday,Reuben had 78 baseball cards. Today, he got b more. Using b, write an expression for the total number of baseball cards he has now.
Answer:
78 + b
Step-by-step explanation:
he had 78 and he added the unknown amount or b
pls mark brainliest
Which of the following is NOT a monomial?
(Please don’t just guess, I need this question correct)
A)12xy
B)-8x
C)15
D2x+9
Answer:
B
Step-by-step explanation:
Monomial is all about one algebra
What is a fraction equivalent to 2/3 that has a denominator if 6
Answer:
[tex]\frac{4}{6}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ( multiply numerator/ denominator by 2 )
= [tex]\frac{4}{6}[/tex]
why will i be a good role model essay
please i need help this is due tomorrow
Answer:
Relate the points down below to yourself and give examples
Step-by-step explanation:
You show confidence and leadership
Being yourself/unique
You speak and interact kindly with everyone
You show respect and concern for others
You give advice to those who need it
You have humility and a willingness to admit mistakes.
You do good things outside of school
Hector has started growing orchids in a greenhouse. He has kept a record how many new blossoms his orchids have grown each week, which may be seen in the graph below. A bar graph titled New Blossoms has week on the x-axis and number on the y-axis. Week 1, 8; Week 2, 11; Week 3, 10; Week 4, 14; Week 5, 20; Week 6, 24; Week 7, 21; Week 8, 22; week 9, 18; Week 10, 18; Week 11, 16. Between which two weeks did the greatest increase in new blossoms occur? a. 1 and 2 b. 4 and 5 c. 5 and 6 d. 8 and 9.
The greatest increase occurred in week 4 and 5, as there was an increase of 6
we have given that,Week 1, 8; Week 2, 11; Week 3, 10; Week 4, 14; Week 5, 20; Week 6, 24; Week 7, 21; Week 8, 22; week 9, 18; Week 10, 18; Week 11, 16.
What is the formula for the difference between two weeks?
Formula for difference is,
[tex]difference =week 1-week 2[/tex]
Therefore by using formula we get,
Week 1 and 2
Week 1: 8
Week 2: 11
11-8=3
Week 4 and 5
Week 4: 14
Week 5: 20
20-14=6
Week 5 and 6
Week 5: 20
Week 6: 24
24-20=4
Week 8 and 9
Week 8: 22
Week 9: 18
22-19=4
Therefore,the greatest increase occurred in week 4 and 5, as there was an increase of 6
To learn more about the difference visit:
https://brainly.com/question/148825
write -x^2+2xy-y^2 as the opposite of the square of a binomial
ANSWER
x+y)^2=x^2+y^2+2xy -eq1
because
first we will take the LHS of eq1, i.e,
(x+y)^2
(x+y)(x+y)
x(x+y)+y(x+y)
x^2+xy+xy+y^2
x^2+2xy+y^2
Or
x^2+2xy+y^2
Hence, LHS=RHS
find the value of x in the triangle shown below
Answer:
61
Step-by-step explanation:
We see that the triangle is isosceles as the two sides of it are 6.
In an isosceles triangle, you have two sides that are the same and two angles that are the same.
The two congruent angles will be opposite to the congruent sides.
So, we know that both angles must be x.
The Angles of a triangle add up to 180 degrees.
2x + 58 = 180
2x = 122
x = 61 ddegrees
Solution:
We know that:
Sum of interior angles of triangle: 180°We can see that the two lines of the triangle are equivalent.
This means that:
The triangle is an isosceles triangle.The bottom angles must be equivalent.Equation created: 58 + x + x = 180
Simplify the LHS.
58 + x + x = 180=> 58 + 2x = 180Subtract 58 both sides.
=> 58 - 58 + 2x = 180 - 58=> 2x = 122Divide 2 both sides.
2x = 122=> 2x/2 = 122/2=> x = 122/2 = 611/9 + 2/3
Add this , if you get it
Its a fifth Grade question
Answer:
7/9
Step-by-step explanation:
1/9 + 2/3=
Work out the sum of 1/3, 1/5 and 3/10
Give your answer in its simplest form.
Answer:
5/6
Step-by-step explanation:
1/3 x 1/5 = 8/15 then add to 3/10 and you get 5/6 simplifed
The sum of 1/3, 1/5, and 3/10 is 5/6.
How to estimate the simplest form?
Based on the given conditions, formulate 1/3 + 1/5 +3/10
To estimate the common denominator and note the numerators above the common denominator, then we get
10 + 6 + 9/30
Calculate the sum or difference in the above equation, we get
10 + 6 + 9/30 = 25/30
Decrease the fraction to the lower term by canceling the greatest common factor, we get
25/30 = 5/6
To learn more about simplest form of fraction
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Lines y and z are parallel. parallel lines are cut by transversals s and t. the angles formed by lines s, t, and y, clockwise from top left, are blank, blank, (10 x 5) degrees, blank, (4 x minus 7) degrees, blank; formed by s and z are 65 degrees, 1, blank, blank; formed by z and t are 2, blank, blank, blank. what is the measure of angle 2? 6 degrees 11 degrees 28 degrees 37 degrees
The sum of the angle of the triangle is 180 degrees. Then the measure of angle ∠2 is 98°.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
Lines y and z are parallel.
The parallel lines are cut by transversals s and t.
The angles are formed by lines s, t, and y be (10x + 5), a, (4x – 7).
∠1 and (10x + 5)° are equal because they are corresponding angles.
And ∠1 and 65° are equal because they are supplement angles.
Then we have
(10x + 5)° = 65°
10x = 65 - 5
10x = 60
x = 6
Then we have
(10x + 5)° = 10 × 6 + 5 = 65°
(4x – 7)° = 4 × 6 – 7 = 17°
We know that the sum of internal angles of the triangle is 180 degrees. Then we have
∠2 + 65° + 17° = 180°
∠2 + 82° = 180°
∠2 = 98°
The measure of angle ∠2 is 98°.
More about the angled link is given below.
https://brainly.com/question/15767203
Answer:
The answer is 28 degrees.
Step-by-step explanation:
None needed, it's right.