Answer:
This number line
shows the numbers
between 95 and 101.
Step-by-step explanation:
96, 97, 98, 99, and 100 all fall between 95 and 101.
97, 98, 99, and 100 are all greater than 96, so option 2 is incorrect.
96 is less than 97, so option 3 is incorrect.
5x-2 \ 3 = 6 what does x equal
If you're talking the equation [tex]\frac{5x-2}{3} =6[/tex], then:
[tex]\frac{5x-2}{3} =6[/tex]
multiply [tex]3[/tex] onto both sides.[tex]5x-2=18[/tex]
add [tex]2[/tex] to both sides.[tex]5x=20[/tex]
divide both sides by 5[tex]x=4[/tex]
If you're talking about the equation [tex]5x-\frac{2}{3} =6[/tex], then:
[tex]5x-\frac{2}{3} =6[/tex]
add [tex]\frac{2}{3}[/tex] to each side[tex]5x = 6+\frac{2}{3}[/tex]
divide both sides by [tex]5[/tex].[tex]x=\frac{6}{5} +\frac{2}{15}[/tex]
find the common denominator of [tex]\frac{6}{5}[/tex] and [tex]\frac{2}{15}[/tex]. In this case its [tex]15[/tex], so multiply both the numerator and denominator of [tex]\frac{6}{5}[/tex] by [tex]3[/tex].[tex]x=\frac{18}{15} +\frac{2}{15}[/tex]
Now that there is a common denominator, add the two terms together.[tex]x=\frac{20}{15} = \frac{4}{3} = 1\frac{1}{3}[/tex]
How many triangles will there be in the 7th term of the following
sequence?
Δ, ΔΔΔ, ΔΔΔΔΔ..
Ο
Α. 19
Ο
Β. 22
Ο
C 16
D. 8
There are 13 triangles will be in the 7th term.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The sequence is,
Δ, ΔΔΔ, ΔΔΔΔΔ..
Now,
Number of triangles in sequence are;
⇒ 1 , 3 , 5, ...
Clearly, The sequence is in arithmetic sequence, with common difference = 3 - 1 = 2 and first term is 1.
Hence, The 7th term is find as;
⇒ T ₇ = a + (n - 1) d
⇒ T ₇ = 1 + (7 - 1) (2)
⇒ T ₇ = 1 + 6 x 2
⇒ T ₇ = 1 + 12
⇒ T ₇ = 13
Thus, There are 13 triangles will be in the 7th term.
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Tamara has 14 red gel pens and 16 snap bracelets for goodie bags
Answer:
ok??? whats the question?
Step-by-step explanation:
Answer:
question???
Step-by-step explanation:
An arithmetic sequence has a first term of 3 and a fifth term of 31 what is it’s second term
Answer:10
Step-by-step explanation:
Adds 7 each time
31 - 3 = 28
Going from first term to fifth term is 4 increases.
28 ÷ 4 = 7
This means we have a common difference of 7.
Sequence is 3, 10, 17, 24, 31
if a rectangular swimming pool is 10 meters wide and 15 meters long what is the perimeter
Answer:
50m
Step-by-step explanation:
Information from the question:
The length is 15m
The width is 10m
Length is represented by "l"
Width is represented by "w"
The perimeter is the total of its side lengths. A rectangle has four sides that are two lengths and two widths.
Use the formula for perimeter:
P = 2(l + w) Put in the length and width measurements
P = 2(15m + 10m) Add inside the brackets
P = 2(25m) Multiply
P = 50m Answer
Therefore the perimeter of the rectangular swimming pool is 50 meters.
If Tian has 56 paper clips. He gives 3/4 of them to joe. Joe gives 2/7 of what he receives to Rahul. How many paper clips does Rahul get?
Rahul gets 12 paper clips.
Step-by-step explanation:
Given,
Paper clips Tian have = 56
He gives 3/4 of them to joe.
Joe gets = [tex]\frac{3}{4}*56=\frac{168}{4}[/tex]
Joe gets = 42 paper clips
He given 2/7 of received to Rahul.
Rahul gets = [tex]\frac{2}{7}*42=\frac{84}{7}[/tex]
Rahul gets = 12 paper clips
Rahul gets 12 paper clips.
Keywords: fraction, division
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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How many pencils did he buy?
This is due this Wednesday it’s needs to be done ASAP!! It needs to be shown full work help me!!!
Answer:
13 pencils.
Step-by-step explanation:
Let x be the pens and y be the pencils
Given:
Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.
Total pens and pencils is 22
So, [tex]x+y=22[/tex]----------------(1)
And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.
[tex]0.75x+0.40y=11.95[/tex]------------(2)
solve equation 1 and equation 2 for x and y.
From equation 1.
[tex]x+y=22[/tex]
[tex]y=22-x[/tex]----------------(3)
put y value in equation 2.
[tex]0.75x+0.4(22-x)=11.95[/tex]
[tex]0.75x+0.4\times 22-0.4x=11.95[/tex]
[tex]0.75x+8.8-0.4x=11.95[/tex]
[tex]0.75x-0.4x=11.95-8.8[/tex]
[tex]0.35x=3.15[/tex]
[tex]x=\frac{3.15}{0.35}[/tex]
[tex]x=9[/tex]
Now substitute x value in equation 3.
[tex]y=22-9[/tex]
[tex]y=13[/tex]
So, he buy 13 pencils.
Write the equation of the line 3x - 4y = 20 in slope-intercept form.
Answer:
y=3/4x-5
Step-by-step explanation:
3x-4y=20
4y=3x-20
y=3/4x-20/4
y=3/4x-5
Ivan buys candy that costs $7 per pound. He will buy at most 9 pounds of candy. What are the possible amounts he will spend on candy?
Use c for the amount (in dollars) Ivan will spend on candy.
Write your answer as an inequality solved for c.
Answer: 7c ≤ 63
Ivan will buy at most 9 pounds of candy, which means that multiplying 9 by 7, the cost of the candy, will get your answer: 63. Plug these values into an inequality with a less than or equal to sign (≤) facing away from 63 and you're done!
The possible amounts Ivan will spend on candy can be represented as c ≤ 7.
Explanation:Let's denote the amount Ivan will spend on candy as c. The cost of candy is $7 per pound, and Ivan will buy at most 9 pounds of candy. Therefore, the maximum amount he could spend on candy is 9 pounds multiplied by $7 per pound, which is 9c ≤ 63.
Since we are looking for possible amounts, we can rewrite this inequality as c ≤ 63/9, which simplifies to c ≤ 7.
So, the possible amounts Ivan will spend on candy are values less than or equal to $7.
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4(n+2=2 (n+10) ayudaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
n=6
Step-by-step explanation:
4(n+2)=2(n+10)
4n+8=2n+20
4n-2n+8=20
2n+8=20
2n=20-8
2n=12
n=12/2
n=6
In ordered pair a solution [tex]y\geq x-5?[/tex]
Answer:
The graph is plotted below.
One ordered pair as solution is (0, 0).
Step-by-step explanation:
Given:
The inequality is given as:
[tex]y\geq x-5[/tex]
In order to plot it, we first replace '≥' by '=' sign. This gives,
[tex]y = x-5[/tex]
Now, we plot the above line. For that, we need the x and y intercepts.
At x-intercept, y = 0. So,
[tex]0=x-5\\x=5[/tex]
The point is (5, 0)
At y-intercept, x = 0. So,
[tex]y=0-5\\y=-5[/tex]
The point is (0, -5)
Now, plot these two points and draw a line passing through these two points. The graph is shown below.
Now, replace '=' by '≥' sign. Since, 'y' is greater than equal to 'x - 5'. So, the solution region is above the given including the values on the line.
Therefore, any ordered pair in the solution region is a solution of the given inequality. From the graph, one such ordered pair is (0, 0).
This can be verified from the inequality also.
[tex]0\geq 0-5\\0\geq -5(True)[/tex]
So, one ordered pair is (0, 0).
9x + 2(3x + 7) = -31
x=-3
Step-by-step explanation:Solve:9x+2(3x+7)= -31
multiply the "3x" and the "7" by two (distributive property)
[="6x" and "7"]
add the "9x" and the "6x" [="15x"]
subtract "14" from"-31" [= "-45"]
divide "15x" from "-45"
="-3"
Check:put the "-3" in for "x"
multiply 9(-3) [=-27]
multiply 3(-3) [=-9]
distribute the 2 to the "-9" and the "7" [="-18" and "14"]
add the "-18" and "14" [=-4]
add the "-27" and the "-4"
=-31 ✓
What it looks like:Solve:9x+2(3x)+2(7)= -31
9x+6x+14= -31
15x+14= -31
-14 -14
15x= -45
/15= /15
x= -3
Check:9x+2(3x+7)= -31
9(-3)+2(3(-3)+7= -31
-27+2(-9+7)= -31
-27+(2(-9)+2(7))= -31
-27+(-18+14)= -31
-27+ (-4)= -31
-31= -31✓
plz help me fast thanks
Answer:
E
Step-by-step explanation:
There are 48 cards numbered from 1 to 48.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 8: 8, 16, 24, 32, 40, 48
Multiples of 6 and 8: 24, 48.
Hence,
Total number of cards = 48,
Number of cards which are multiples of 6 and 8 = 2
The probability that the number card is a multiple of both 6 and 8 is
[tex]P=\dfrac{2}{48}=\dfrac{1}{24}[/tex]
Question 4: 20 pts
Rhonda has 335 stamps in her collection. She wants to collect at least 575 stamps. Write and solve
an inequality to determine how many more stamps Rhonda must collect to reach her goal. Let d
represent the number of stamps Rhonda must collect to reach her goal.
Rhonda must collect at least 240 stamps in order to reach her goal.
Step-by-step explanation:
Given,
Stamps Rhonda wants to collect = 575
Stamps already in collection = 335
Let,
d represents the number of stamps Rhonda needs to collect to achieve her goal.
Stamps to collect + Stamps already in collection ≥ 575
[tex]d+335\geq 575\\d\geq 575-335\\d\geq 240[/tex]
Rhonda must collect at least 240 stamps in order to reach her goal.
Keywords: inequality, addition
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Find the number of pancakes Sandra can make in 20 minutes if she takes half an hour to prepare six pancakes at a constant rate
Answer: 4 pancakes
Step-by-step explanation: because 30min÷6pancakes=5
So, 20min÷5=4
help me thx!!!!!!!!!
Answer:
125
Step-by-step explanation:
Read the question and answer it below the question
Answer:
G
Step-by-step explanation:
G = -2
-2 is greater than -4, yet, less than 0
What is the solution set of {x | x > -5} {x | x < 5}?
all numbers except -5 and 5
the numbers between -5 and 5
the empty set
all real numbers
What is the solution set of {x | x < -5} ∩ {x | x > 5}?
all numbers less than -5 and greater than 5
the numbers between -5 and 5
the empty set
all real numbers
Answer:
The numbers between -5 and 5
Step-by-step explanation:
Intersection of Intervals
Given the intervals A,B,C,etc. The intersection of them all is the set of all values that are common to all the intervals.
We must find
[tex]\{x | x > -5\} \bigcap \ \{x | x < 5\}[/tex]
which is the intersection between the intervals x > -5 and x < 5. The intersection represents all the numbers greater than -5 and less than 5. It can also be said The numbers between -5 and 5 (non inclusive), third option
Answer: The answer is D all real numbers
the difference of 2 2/3 and a number n divided by -2 1/5 equal to -13 / 33 find the value of n.
The value of n is [tex]1\frac{4}{5}[/tex].
Step-by-step explanation:
Given,
[tex](2\frac{2}{3}-n)/-2\frac{1}{5}=\frac{-13}{33}[/tex]
Writing the fractions in simplified form;
[tex](\frac{8}{3}-n)/\frac{-11}{5}=\frac{-13}{33}[/tex]
Taking LCM on left hand side;
[tex](\frac{8-3n}{3})/\frac{-11}{5}=\frac{-13}{33}\\[/tex]
[tex]\frac{8-3n}{3}*\frac{-5}{11}=\frac{-13}{33}\\\\\frac{-40+15n}{33}=\frac{-13}{33}\\\\[/tex]
Multiplying both sides by 33
[tex]33*(\frac{-40+15n}{33})=\frac{-13}{33}*33\\-40+15n=-13\\15n=-13+40\\15n=27[/tex]
Dividing both sides by 15
[tex]\frac{15n}{15}=\frac{27}{15}\\n=\frac{9}{5}\\n=1\frac{4}{5}[/tex]
The value of n is [tex]1\frac{4}{5}[/tex].
Keywords: fraction, division
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Ed’s birthday is less than 16 days away.
(NEED HELP!!!! WILL GIVE BRAINLY)
Answer:
it is less than and equal to
Step-by-step explanation:
its > with a line under it
Space provided.
1. Find the equation of the line that is modeled by the values in the table shown below.
Part I: Determine the slope of the line. Show the work you did to find the slope. (6 points)
Answer:
1) The slope of the line is [tex]m=\frac{5}{2}[/tex] or [tex]m=2.5[/tex]
2) The equation of the line is [tex]y=2.5x-4[/tex]
Step-by-step explanation:
step 1
Find the slope
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take any two points from the values in the table
(2,1) and (4,6)
substitute the values in the formula
[tex]m=\frac{6-1}{4-2}[/tex]
[tex]m=\frac{5}{2}[/tex]
[tex]m=2.5[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=2.5[/tex]
[tex]point\ (2,1)[/tex]
substitute
[tex]y-1=2.5(x-2)[/tex]
Convert to slope intercept form
isolate the variable y
[tex]y-1=2.5x-5[/tex]
[tex]y=2.5x-5+1[/tex]
[tex]y=2.5x-4[/tex]
ABCD is a parallelogram if side ab=4x+7 and bc=8x-12 and side cd=7x-14 find the value of x
Answer:
Therefore the value of 'x' is 7.
Step-by-step explanation:
Given:
[] ABCD is a Parallelogram
AB = 4x+ 7
BC = 8x - 12
CD = 7x - 14
To Find:
x = ?
Solution:
[] ABCD is a Parallelogram ..............Given:
Opposite sides of a Parallelogram are Equal
side AB and CD are the opposite sides of the parallelogram.
∴ AB = CD
On substituting the values we get
[tex]4x+7=7x-14\\\\7x-4x=7+14\\\\3x=21\\\\x=\dfrac{21}{3} =7\\\\\therefore x =7[/tex]
Therefore the value of 'x' is 7.
capacity measures how much a liquid weighs
Answer: Im assuming this is a true or false question anyways the answer would be false if it is
Step-by-step explanation:
2/7 with an exponent of 3
Answer:
Step-by-step explanation:
(2/7)^3=8/343
Answer:
(2/7)^3
8/343
Step-by-step explanation:
(2/7)^3=2^3/7^3
=8/343
If the balance at the end of eight years on an investment of $230 that has been invested at a rate of 3% is $285.20, how much was the interest
Answer:
The interest that is obtained from that investment is $55.2
Step-by-step explanation:
If the balance at the end of eight years on an investment of $230 that has been invested at a rate of 3% is $285.20, so the principal of investment is $230 and the matured sum is $285.20.
Now, we know that Principal + Interest = Matured sum.
Hence, the interest that is obtained from that investment is $(285.2 - 230) = $55.2 (Answer)
Answer:
The interest credited after investment is $55.2
Step-by-step explanation:
Given as :
The investment principal amount = p = $230
The Amount after 8 years of investment = A = $285.20
The Time period for investment = 8 years
The rate of interest applied = r = 3%
Let The interest credited after investment = I
Now, According to question
From Compound Interest
Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
And Interest = Amount - Principal
Or, I = A - p
Or, I = $285.20 - $230
∴ I = $55.2
So, The interest credited after investment = I = $55.2
Hence, The interest credited after investment is $55.2 Answer
Raji has 5/7 as many CDs as Megan. If Raji gives 1/10 of her CDs to Megan, what will be the ratio of the number of Raji’s CDs to Megan’s
Answer:
3:5
Step-by-step explanation:
Please see attached picture for full solution. ( Unit method)
What is the maximum value of 4(x + 7)(2 - x), over all real numbers x?
Answer:
The maximum value of function is 81 .
Step-by-step explanation:
Given function as :
y = 4 (x + 7) (2 - x)
Now, The function can be written as
y = 4 (2 x - x² + 14 - 7 x)
y = 4 ( - x² - 5 x + 14)
y = - 4 x² - 20 x + 56
Now, For maximum value of function , differentiation of y with respect to x
[tex]\frac{\partial y}{\partial x}[/tex] = 0
Or, [tex]\frac{\partial ( - 4x^{2} - 20 x +56)}{\partial x}[/tex] = 0
Or, - 8 x - 20 = 0
Or, - 8 x = 20
∴ x = [tex]\dfrac{-20}{8}[/tex]
i.e x = [tex]\dfrac{-5}{2}[/tex]
Now, Putting the value of x in the given equation
y = - 4 ( [tex]\dfrac{-5}{2}[/tex])² - 20 ( [tex]\dfrac{-5}{2}[/tex]) + 56
Or, y = - 4 ([tex]\dfrac{25}{4}[/tex]) + 50 + 56
Or, y = - 25 + 50 + 56
∴ y = 81
So, The maximum value of function is 81
Hence,The maximum value of function is 81 . Answer
Can anybody answer this for me please?
Answer:
1. f(2) = 6
2. Slope, m = [tex]$ \frac{7}{2} $[/tex]
Step-by-step explanation:
Problem 1:
Given f(x) = |3x|
To find f(2), substitute x = 2.
⇒ f(2) = |3(2)|
= |6|
= 6
Problem 2:
The given equation is: 2y = 7x + 8
The general equation of the line is: y = mx + c, where m is the slope of the line.
Therefore, we reduce the given equation to the general form of the line.
Dividing the given equation by 2, we get:
y = [tex]$ \frac{7}{2}x + \frac{8}{2} $[/tex]
[tex]$ \implies y = \frac{7}{2}x + 4 $[/tex]
Thus, slope, m = [tex]$ \frac{7}{2} $[/tex] which is the answer.
Problem 3:
Given with 14 gallons of gas, we can drive 392 miles.
The capacity of the tank if 14 gallons.
If 14 gallons can take us 392 miles, then 1 gallon of gas should take us: [tex]$ \frac{392}{14} $[/tex] miles.
= 28 miles/gallon of gas
Therefore, with 3.7 gallons of gas, we can travel 3.7 X 28 miles
= 103. 6 miles
Which graph represents y=^3 square x+2?
Answer:
File is given in attachements .
Step-by-step explanation:
[tex]y = \sqrt[3]{x} + 2[/tex] will pass through (0,2) and (-8,0) . Its shape will be as shown in the graph.
Answer:
Graph C
Step-by-step explanation:
Find the product for 2(2n + 3)
To find the product for 2(2n + 3), use the distributive property to multiply 2 with each term inside the parentheses, resulting in 4n + 6.
Explanation:The question asks to find the product for 2(2n + 3). To solve this, we need to use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Applying this rule to the given expression, we multiply 2 with each term inside the parentheses.
First, multiply 2 by 2n to get 4n. Next, multiply 2 by 3 to get 6. Therefore, the expression simplifies to 4n + 6.
We have successfully used the distributive property to find that the product of 2(2n + 3) is 4n + 6.