Answer:
1 term
Step-by-step explanation:
Writing an expression of 5 terms such that all 5 terms are like terms ;
Using the analogy :
x, 2x, 4x, 3x, 5x
Writing as an expression :
x + 2x + 4x - 3x + 5x
7x - x + 5x
6x + 5x
11x
The least number of terms in its equivalent expression is 1 ;
As the expression x + 2x + 4x - 3x + 5x is equivalent to 11x
Please answer srep by step if can!!
1.If a number is chosen at random from the integers 5 to 25 inclusive , find the probability that the number is a multiple of 5 or 3.
2.Good Limes =10
Good Apples = 8
Bad Limes = 6
Bad Apples 6
The information above shows the number of limes and apples of the same size in a bag . If two of the fruits are picked at random , one at a time without replacement .Find the probability that :
I. Both are good limes
II.Both are good fruits
III. One is a good apple and the other a bad lime
I'll do problem 1 to get you started.
set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}
there are 7 items in set A, so we can say n(A) = 7
set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}
Here we have n(B) = 5
set C = multiples of 3 and 5, between 5 and 25 = {15}
n(C) = 1 which we can rewrite as n(A and B) = 1.
-----------------------------------------
To summarize so far,
n(A) = 7n(B) = 5n(A and B) = 1From those three facts, then we can say,
n(A or B) = n(A) + n(B) - n(A and B)
n(A or B) = 7 + 5 - 1
n(A or B) = 11
There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.
Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}
This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}
So we have 11 values we want out of 21 overall, which leads to the probability 11/21
Final Answer: 11/21
Answer:
Solution given:
total outcomes between 5 to25 inclusive
n[T]=25-5+1=21
multiple of 5n[5]=5,10,15,20,25=5
multiple of 3n[3]=6,9,12,15,18,21,24=7
now
probability of getting multiple of 5p[5]=5/21
and
probability of getting multiple of 3 p[3]=7/21=1/3
again
the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7
the probability that the number is a multiple of 5 or 3 is 4/7.2:
.Good Limes n[GL] =10
Good Apples n[GA]= 8
Bad Limes n[BL] = 6
Bad Apples n[BA]= 6
total fruits n[T]=10+8+6+6=30
no of good apple n[G]=10+8=18
no of bad apple n[B]=6+6=12
again
I. Both are good limes
=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]
=10/30*9/29=3/29
II.Both are good fruits
=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]
=6/30*5/29=1/29
III. One is a good apple and the other a bad lime
=n[G]/n[T] *n[B]/(n[T]-1)
=18/30*12/29=36/145
What is the function rule for the line?
Answer:
y =2/3x -2
Step-by-step explanation:
The y intercept is -2
The slope is
m = (y2-y1)/ (x2-x1)
Using the points (0,-2) and (3,0)
m = ( 0 - -2)/(3 -0)
= (0+2)/(3-0)
= 2/3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y =2/3x -2
hey are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound. How 0 35. much did the oranges appreciate (percent of increase)?
SHOW YOUR WORK.
Answer:
Solution given:
in 1990
cost of orange[C.P]=$0.56
in 2003
cost of orange[S.P]=$0.86
now
increased price[profit]=S.P-C.P=$0.86-$0.56=$0.3
Now
increased percent [profit%]=?
we have
profit%=profit/c.p*100%
=0.3/0.56*100=53.57℅
Therefore
the oranges appreciated by 53.57%
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
Given:-are In 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per poundFind:-percentage of increasing Solution:-we have, 1990 oranges cost $0.56 per pound. In 2003 they cost $0.86 per pound.
so,
C.P of 1990=0.56$c.p of 2003=0.86$[tex]\sf{increase_{(profit)}=0.86-0.56=0.3 }[/tex]
we know that,
[tex]\bold{ profit\%=\dfrac{profit}{C.P}×100 }[/tex]
According to the question,
[tex]\sf{percentage_{(profit)}=\dfrac{0.3}{0.56}×100 }[/tex] [tex]\sf{percentage_{(profit)}=\dfrac{5357}{100} }[/tex] [tex]\sf{percentage_{(profit)}=53.57\% }[/tex]What is the slope of the line shown below?
ОА. - 17
(5, 1)
X
O B. -4
-5
5
(-3,-1)
O c. 4
-5
O D.
1
4
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line
m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C
can yaweeeeeeeee hlp
Answer:
( 25 x 100 )
option 1 is the answer
Step-by-step explanation:
Remaining options are not correct since they don't have 100 as a factor.
Segment addition and midpoints.
======================================================
Explanation:
AC = 13 and BC = 8
Those two facts must mean AB = AC-BC = 13 - 8 = 5.
Similarly, CD = BD - BC = 12 - 8 = 4
So,
AD = AB + BC + CD
AD = 5 + 8 + 4
AD = 17
------------
Another way to approach this problem would be to say
AD = AC + BD - BC
AD = 13 + 12 - 8
AD = 17
This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.
Answer:
Segment AD is 17.
Step-by-step explanation:
We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.
To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).
To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)
Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)
The length of Segment AD is 17.
How to solve ? What is the answer?
Answer:
L = [tex]\sqrt{52^2 + 30^2}[/tex]
L = 60.033
Step-by-step explanation:
simplify 6÷[5{6÷(5-2)}]
answer correctly i will give brainliest.
Answer:
hope this helppppp youuu
The circumference of a circle is 11 pi ft. find its diameter, in feet
Answer:
11 feet
Step-by-step explanation:
Use the circumference formula, C = [tex]\pi[/tex]d
Plug in 11[tex]\pi[/tex] as C, and solve for d:
C = [tex]\pi[/tex]d
11[tex]\pi[/tex] = [tex]\pi[/tex]d
11 = d
So, the diameter is 11 feet
Given quadrilateral ABCD, where the diagonals AC and BD intersect at point E. AE⎯⎯⎯⎯⎯⎯⎯≅EC⎯⎯⎯⎯⎯⎯⎯⎯AE¯≅EC¯ and BE⎯⎯⎯⎯⎯⎯⎯≅DE⎯⎯⎯⎯⎯⎯⎯⎯BE¯≅DE¯. Can you prove can you prove that the figure is a parallelogram? Explain.
Given:
In a quadrilateral ABCD, diagonals AC and BD intersect at point E.
[tex]AE\cong EC[/tex]
[tex]BE\cong DE[/tex]
To prove:
The figure is a parallelogram.
Solution:
We know that if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
In a quadrilateral ABCD, diagonals AC and BD intersect at point E.
[tex]AE\cong EC[/tex]
[tex]BE\cong DE[/tex]
Since the diagonals AC and BD of a quadrilateral ABCD bisect each other, therefore the quadrilateral ABCD is a parallelogram.
Hence proved.
Line ab and cd (if presented in the picture) are straight lines. Find x (the pictures are not scaled)
Answer:
[tex]x + 2x + 34 + 20 = 180 [/tex]
Answer:
x=42
Step-by-step explanation:
Statement Reason
1. m∠AOB = 180° — Def. of straight ∠
2. m∠AOE + m∠EOF + m∠FOB = m∠
AOB —- Parts − whole Postulate
3. x + 2x+34° + 20° = 180° —- Substitution
4. x = 42°. —- Algebra
This is statement and reason! (no problem rsm people)
Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?
Answer:
201.14 , 502.85
Step-by-step explanation:
704/7 = 100.57
2*100.57 = 201.14
5*100.57 = 502.85
evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain
[tex]\frac{-1}{32}[/tex] is a required answer.
Answer:
Solution given:
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
take power common
[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]
Reduce the fraction
[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]
make the1 and 8 in terms power 3
[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]
take the common power
[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]
Reduce power
[tex](\frac{-1}{2})^{5}[/tex]
now
distribute power
[tex]\frac{-1^{5}}{2^{5}}[/tex]
[tex]\frac{-1}{32}[/tex]
Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help
Answer:
155÷8= 19,375
The unit price of each wagon can be obtained by dividing (155 by 8)
luck in your tasks.
Consider the following 8 numbers, where one labelled
x
is unknown.
12, 46, 31,
x
, 49, 24, 41, 14
Given that the range of the numbers is 63,
work out 2 values of
x
.
Put the data set in order:
12, 14, 24, 31, 41, 46, 49
In order to find a value of x using the range, x has to be on either end of the data set. Meaning:
x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x
Since the range is the highest value minus the lower value, you can set two equations for x:
x - 12 = 63
x = 75
49 - x = 63
x = -14
Thus, x = 75, -14
Two values of x are -14 & 75
What is range of numbers ?The difference between highest and lowest numbers of the set of numbers is called the range of numbers.
What are the values of x ?The given values are 12, 46, 31, 49, 24, 41, 14
Arranging all the values in ascending order we get,
12, 14, 24, 31, 41, 46, 49
If x will be included, then x is in the 1st position or in the last position.
Then the values are x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x
The range of the number is 63
So, we get two equations from it.
1 ) 49-x = 63
2 ) x-12 = 63
Solving eq. (1) we get, x = 49-63 = -14
Solving eq. (2) we get, x = 63+12 = 75
So the values of x are -14 & 75
Learn more about range of number here :
https://brainly.com/question/10081172
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What is the area of the label on a soup can that is 8 inches high and has a diameter of 4 inches? Round to the nearest hundredth. Assume the label wraps around the entire height of the can and does not overlap. SHOW WORK..
Answer:
Area of label = 100 inch² (Approx.)
Step-by-step explanation:
Given:
Height of label = 8 inches
Diameter of label = 4 inches
Find:
Area of label
Computation:
Design of label = Rectangle
So,
Width of label = 2πr
Width of label = 2(3.14)(4/2)
Width of label = 2(3.14)(2)
Width of label = 12.56 inches
Area of label = Height of label x Width of label
Area of label = 12.56 x 8
Area of label = 100.48
Area of label = 100 inch² (Approx.)
Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:
Answer:
[tex]y+1=4(x+2)[/tex]
Step-by-step explanation:
Hi there!
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the slope and the point
[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]
I hope this helps!
Which of the following are square roots of the number below? Check all that apply.
36
Answer:
mark me brainliest..
Step-by-step explanation:
plz open the below file and hope it helps!!
Matt covers a distance of 300 miles in 10 hours. Given that he covers an equal distance every hour, find the distance covered by him in 4 hours.
Please help me with this question please and thank you ❤️
Answer:
x = -1
Step-by-step explanation:
3x - 1/9 (27) = 18
3x - 3
Divide both sides be 3
x = -1
Answer:
x = 7
Step-by-step explanation:
to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :
3x - 1/9(27) = 18
3x - 3 = 18
3x = 21
x= 7
What is a counterexample to this claim? Dividing a number by 2 always results in a smaller number.
Given:
Dividing a number by 2 always results in a smaller number.
To find:
The counterexample to the given claim.
Solution:
If 0 is divided by is divided by any non-zero real number [tex]a[/tex], then
[tex]\dfrac{0}{a}=0[/tex]
Let us consider the unknown number be 0. Then dividing a number by 2, we get
[tex]\dfrac{0}{2}=0[/tex]
Here, the result is not a smaller number because [tex]0=0[/tex].
Therefore, the counterexample to the given claim is "Dividing 0 by 2".
Answer:
-1
Step-by-step explanation:
Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5
Answer:
a.-8x-12y
Step-by-step explanation:
i hope it will help u
The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
The equation of the line below which is given in the question
4x - 3y = 8
We have to determine which is perpendicular to the given equation of the line
First, we need to find the slope of the given equation.
4x - 3y = 8
- 3y = - 4x + 8
Divided by -3 into both sides of the above equation,
y = (- 4/-3)x + 8/(-3)
y = (4/3)x - 8/3
Comparing the above equation with the standard form of line y = mx + b
Here m is the slope of the line, in this case, m = 4/3.
As per option (C),
- 3y = 8 + 4x
Divided by -3 into both sides of the above equation,
y = - 4/3x - 8/3
Here the slope of this line is - 4/3
Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.
Hence, the correct answer would be option (C).
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
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1/2a=11
a=? P.S I am not in high school I am in 4TH GRADE!!!
Answer:
a: 1/22
Step-by-step explanation:
cross multiply 1/2a=11
which will give 22a=1
divide both sides by 22
to give a=1/22
Which expression is equivalent to 6(3n-4)?
1)9n-10
2)18n-24
3)18n-4
4) 3n-24
Answer:
[tex]18n - 24[/tex]
Step-by-step explanation:
[tex]6(3n - 4) = 18n - 24[/tex]
Answer:
18n-24
Step-by-step explanation:
6(3n-4)
Open the brackets .......
(6×3n)-(6×4)
=18n_24
how can you find the slope of a line and use it to
solve problems?
Answer:
Step-by-step explanation:
1) Mark two points on the line in the graph.
2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)
Run -----> difference in x-coordinates (x2 - x1)
3) Plugin the values in the below mentioned formula.
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
1.If slope = 0, then the line is parallel to x-axis.
2. If slope is undefined, then the line is parallel to y-axis.
3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.
Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)
Answer:
D: (5, 0) and (4, 0)
Step-by-step explanation:
The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.
Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).
What is the area of this figure
Help please
Step-by-step explanation:
A you see here, we have 3 different shapes. a Triangle, a big and small rectangle. Lets start with the triangle.
between the 8 in's, theres a gap. 5+4=9,
9+8+8=25. we have the length of the triangle.
9*25 divided by 2= 112.5. thats are area of the triangle.
for the bigger rectangle, 20*9=180, the area of the rectangle, and the smaller rectangle at the bottom is 16.
Now we add:
112.5+180+16=308.5
hope this helps!
what is the value of the expression below? (8^5/3)^1/5
Answer:
8^1/3
Step-by-step explanation:
(8^5/3)^1/5
8^5/3×1/5
8^5/15
8^1/3
Answer:
Step-by-step explanation:
Exponent Rule: [tex](a^{m})^{n}=a^{m*n}[/tex]
[tex](8^{\frac{5}{3}})^{\frac{1}{5}}= 8^{\frac{5}{3}}*{\frac{1}{5}}\\\\\\=8^{\frac{1}{3}}\\\\= \sqrt[3]{8} \\\\= \sqrt[3]{2*2*2}\\\\= 2[/tex]
