Answer:
3 : 10
Step-by-step explanation:
Pencils come in packages of 10 . Erasers come in package of 12 . Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil . How many packages of pencils and erasers should Phillip buy ?
Answer: 60
Step-by-step explanation:
From the question, we are informed that pencils come in packages of 10 while erasers come in package of 12 .
We are further told that Phillip wants to purchase the smallest number of pencils and erasers so that he will have exactly 1 eraser per pencil, this simply means that we have to calculate the lowest common multiple for 10 and 12.
Multiples of 10 = 10, 20, 30, 40, 50, 60,
Multiples of 12 = 12, 24, 36, 48, 60, 72
Therefore, the packages of pencils and erasers that Phillip should buy will be 60
a block that is 2 inches wide,3 inches long, and 2 inches tall. what is the volume of a tower that is built by 3 blocks?
Answer:
36
Step-by-step explanation:
length*Width*height
3*2*2=12
12*3=36
Mary has a large sum of money to deposit, but since she has heard many stories from her grandmother about the Great Depression, when many banks lost their customers’ deposits, she is worried that the bank might not keep her money safe. Give Mary some recommendations about what she can do to make sure that her money stays protected.
Mary should make sure to choose a bank that is FDIC insured. Furthermore, if she has more than maximum deposit insurance amount to deposit, she should spread her deposits out among several separate banks. These should be totally different banks, not simply different branches of the same bank. The FDIC will insure up to the maximum deposit insurance amount at each bank, even if the bank fails.
please answer the question bellow, i'm so confused lol
Answer:
12
Step-by-step explanation:
find the lcm between 6 and 4
Answer:
He will wear both on the 12th day.
Step-by-step explanation:
Find the LCM (Least Common Multiple) of 4 and 6.
Prime factor both numbers:
4 = 2²
6 = 2 · 3
LCM = 2² · 3
= 12
To find the LCM, take the greatest common numbers (2² and 3) and multiply them.
This method works well with very big numbers.
identify the similar triangles in the diagram, then sketch them so the corresponding sides and angles have the same orientation.
The triangle KLM and triangle JKM are congruent triangle
In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Triangles that are identical in size and shape are said to be congruent triangles. Inferred from this is that the matching sides and angles are equal. Without checking each of the triangles' sides and angles, we may determine whether two triangles are congruent.
Given a triangle LKJ
We have to find similar triangles in the diagram so the corresponding sides and angles have the same orientation.
By the figure given we can write following things:
LK/LJ = MK/JK
LK/JK = MK/MJ
So the triangle KLM ≅ triangle JKM ≅ triangle JLK
Hence the triangle KLM and triangle JKM are congruent triangle
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determine if JK and LM parallel, perpendicular, or neither .
Answer:
3 - Perpendicular.
4 - Parallel.
Step-by-step explanation:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]JK = \frac{1-(-7)}{-4-(-10)} = \frac{8}{6} = \frac{4}{3}[/tex]
[tex]LM = \frac{-2-2}{-6-(-3)} = \frac{-4}{3}[/tex]
Perpendicular, because two lines are considered perpendicular if their slopes are opposite reciprocals.
[tex]JK = \frac{-2-(-2)}{3-11} = \frac{0}{-8} = 0[/tex]
[tex]LM = \frac{-2-(-7)}{1-1} = \frac{5}{0} = 0[/tex]
The bases of a trapezoid lie on the lines y=2X +7 and y= 2X -5. Write the equation that contains the midsegment of the trapezoid
Given:
The bases of a trapezoid lie on the lines
[tex]y=2x+7[/tex]
[tex]y=2x-5[/tex]
To find:
The equation that contains the midsegment of the trapezoid.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
On comparing [tex]y=2x+7[/tex] with slope intercept form, we get
[tex]m_1=2,b_1=7[/tex]
On comparing [tex]y=2x-5[/tex] with slope intercept form, we get
[tex]m_2=2,b_2=-5[/tex]
The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.
[tex]m=m_1=m_2=2[/tex]
The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.
[tex]b=\dfrac{b_1+b_2}{2}[/tex]
[tex]b=\dfrac{7-5}{2}[/tex]
[tex]b=\dfrac{2}{2}[/tex]
[tex]b=1[/tex]
So, the y-intercept of the required line is 1.
Putting m=2 and b=1 in slope intercept form, we get
[tex]y=2x+1[/tex]
Therefore, the equation of line that contains the midsegment of the trapezoid is [tex]y=2x+1[/tex].
What is the pattern for valence electrons on the periodic table?
Answer:
In general, the number of valence electrons is the same within a column and increases from left to right within a row. Group 1 elements have just one valence electron and group 18 elements have eight, except for helium, which has only two electrons total.
Step-by-step explanation:
True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
Answer:
True
Step-by-step explanation:
Image result for True or False? If one of the angles of a triangle is obtuse, then the triangle is obtuse.
In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°. Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. ... Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.
Answer:
True, as long as the other angles are acute !!
Step-by-step explanation:
I hope this helps !! :D
PLEASE THIS IS MY THIRD TIME ASKING TODAY I NEED HELP!!!
please only answer if you know how to do this!
Answer:
The answers are:
Step-by-step explanation:
1)Adjacent
2)Vertical
3)Corresponding
4)None of these
5)1,7 3,5 4,6 2,8 (<--angle numbers)
6)4,5 2,7 (<--angle numbers)
7)1=85, 2=95, 3=85, 4=85
8)1=60, 2=120, 3=60, 4=120
9)1=90, 2=90, 3=90, 4=90
10) No, they are not parallel. A protractor would show that the intersection angles are different, meaning the lines aren't parallel.
SORRY it took so long hope this helps!!
Answer:
1.
adjacent
2.
vertical
3.
corresponding
4.
none (just regular interior and thats not an option)
5.
(<5,<7) (<6,<8) (<1,<3) (<2,<4)
6.
(<2,<7) (<6,<3)
7.
<1= 85
<2= 95
<3= 85
<4= 85
8.
<1= 60
<2= 120
<3= 60
<4= 120
9.
<1= 90
<2= 90
<3= 90
<4= 90
10. No, its not parallel because the corresponding angles 1 and 7 aren't equal. You can use a protractor to figure this out by finding the measurement of angles 1 and 7. Because they aren't equal degrees, the lines will cross at some point
Which whole numbers does the square root of 104 falls in between?
Answer:
10 and 11
Step-by-step explanation:
The square root of 104 is 10.1980390272. This falls between the whole numbers 10 and 11.
Select the Equivalent Expression. 3 negative 5 =? I cant find the negative sign on here lol.
Answer:
Step-by-step explanation:
do you mean 3-5=-2 ?
Answer:
3+,-5 =-2
Step-by-step explanation: you mean this if you do your welcome
Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
Is this trapezoid an isosceles trapezoid?
Select from the drop-down menu to correctly complete the statement.
Trapezoid KLMN
is not
an isosceles trapezoid.
Answer:
Yes, the trapezoid is an isosceles trapezoid.
As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.
What is the area of a trapezoid?The area of a trapezoid is the average length of the parallel sides times the height.
We know isosceles trapezoids have equal legs length and diagonals are also of the same length.
Given a trapezoid KLMN with verticies K(1, 3), L(3, 1), M(3, 0), and N(1, −2).
∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.
To determine if KM and LN are equal or not we'll simply use the distance formula which is,
D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].
∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].
KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].
KM = [tex]\sqrt{5}[/tex].
And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].
LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].
LN = [tex]\sqrt{ 4 + 9}[/tex].
LN = [tex]\sqrt{13}[/tex].
∴ KM ≠ LN hence diagonals are not equal.
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A(n)______ contains variables,numbers, and at least one operation.
Answer:
algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.
Step-by-step explanation:
Answer:
expressions
Step-by-step explanation:
this is how a definition in a textbook would be written. they just put a blank in
105 students in 3 Classes
Answer:
35
Step-by-step explanation:
just divide em
Fill blank boxes with the right answer.
Mrs. Favre sees that the Chicken Joint is having a sale. A small bucket of chicken usually cost $12.00 but today they are giving 30% off the small bucket.
How much will Mrs. Favre save on one small bucket of chicken? $______
What is the discount cost of one small bucket of chicken? $________
What is the discount cost of 5 small buckets? $______
Answer:
1. $3.60
2. $8.40
3. $42
Step-by-step explanation:
Hope this helps.
If anyone can answer these questions that would help a lot. Besides 13 and 14
A farmer need five men to clear his farm in 10 days how men will he need, if must finish clearing in 2 days if they work at the same rate
Answer:
1 person
Step-by-step explanation:
It is given that a farmer wants 5 persons to complete a work of clearing his field in ten number of days.
We have to find out the number of persons required if the farmer needs to clear his field in 2 number of days.
Therefore according to the information given :
10 days = 5 persons
∴ 1 day = [tex]$\frac{5}{10}$[/tex] persons
So 2 days = [tex]$\frac{5}{10}\times 2$[/tex] persons
[tex]$=\frac{5}{5}$[/tex] person
= 1 person
NEED HELP ON HOMEWORK ASAP
Answer:c
Step-by-step explanation:
3*1= 3 3*2=6 and so on
A rectangle with length 3 1/2 ft and width 2 1/4 ft what is the area
Answer:
Step-by-step explanation:
Hope this helps
click link
Answer: 5 2/6
Step-by-step explanation:
Matti rolled the six-sided number cube once, tossed the coin once, and flicked the spinner one time.
How many total possible outcomes are there if she does all three at the same time?
Answer:
60 outcomes
Step-by-step explanation:
6 x 2 x 5
60 possible outcomes are there if she does all three at the same time.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Given:
Matti rolled the six-sided number cube once,
tossed the coin once,
and flicked the spinner one time.
So, the possibilities of doing three at the same time
= 6 x 2 x 5
= 60
Hence, there are 60 possible ways.
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For which equation is 3 a solution(I need help)
Answer:
B
Step-by-step explanation:
I did it on paper
the product of 9 and c
Answer:
The answer is 9c or 9 × c..
If f(x)=3x-2 and g(x)=2x+1 find (f-g)(x)
9514 1404 393
Answer:
(f-g)(x) = x -3
Step-by-step explanation:
(f-g)(x) = f(x) -g(x)
= (3x -2) -(2x +1)
= 3x -2 -2x -1 = (3x -2x) +(-2 -1)
(f-g)(x) = x -3
When a number is increased by 9.5%, the result is 58. What is the original number to the nearest tenth?
(I've seen other questions like this, but the answer is wrong. It's not 50 or 52.49 or 52.5.)
Answer:
53
Step-by-step explanation:
58÷1.095= 53 is the answer
Answer:
5.03196347032
Step-by-step explanation:
We do:
.095x+x=58
1.095x=58
x=52.96
52.96 is a approximation and when you do the math and see what 9.5 of 52.96 plus 52.96 is you get 57.9912 which is super close to 8 The exact answer is x = 5.03196347032
The small piston of a hydraulic press has an area of 2.0 cm^2 and the large piston has an area of 16 cm^2. If the small piston has a force of 4.0 N applied to it, the output force of the large piston is ____? A.) 0.50 N B.) 2.0 N C.) 8.0 N D.) 32 N
Answer:
32N
Step-by-step explanation:
Given data
A1= 2cm^2
A2= 16cm^2
F1= 4N
F2=???
Applying the formula
Presure= force/area
P=F/A
F1/A1=F2/A2
substitute
4/2= F2/16
cross multiply
F2= (16*4)/2
F2= 64/2
F2= 32N
Hence the output force is 32N
DEF is a right angled triangle calculate the length of EF correct to 3 sigificant figures
Answer:
[tex]\displaystyle EF \approx 15.9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 28°
Adjacent Leg = EF = x
Hypotenuse = DF = 18
Step 2: Solve for x
Substitute in variables [Cosine]: [tex]\displaystyle cos28^\circ = \frac{x}{18}[/tex][Multiplication Property of Equality] Multiply 18 on both sides: [tex]\displaystyle 18cos28^\circ = x[/tex]Evaluate trig: [tex]\displaystyle 18(0.882948) = x[/tex]Multiply: [tex]\displaystyle 15.8931 = x[/tex]Rewrite: [tex]\displaystyle EF = 15.8931[/tex]Round: [tex]\displaystyle EF \approx 15.9[/tex]Alexandra has a home-based business putting on children’s parties. She charges $60 to design the party and then $4.00 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 60n
f(n) = 4 – 55n
f(n) = 4n – 55
f(n) = 60 + 4n
Answer: I don't know/ A. f(n) = 4 + 60n
60+4n=cost. Because the number of children is multiplied by the cost for each child
i would say f(n)=60 +4n but i am probably wrong
Step-by-step explanation: other brainly's
f(n) = 4n + 60...or f(n) = 60 + 4n
f(n)=60+4n that is the correct answer!!!!!!
Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.
Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.
Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.
Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.For the given question;
Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.The equation becomes;
16.95 d + 6.49 h
16.95 (1.5) + 6.49 (3)
25.425 + 19.47
44.895 < $50
Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.
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A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answer: 33.3%
Step-by-step explanation:
First find the difference between the players in try-outs over the years.
= 90 - 75
= 25
Then use this difference to find the percent increase:
= Difference / Players last years * 100%
= 25 / 75 * 100%
= 33.3%