The equation that shows how many more packs of erasers she needs is 38/6.
How many more packs does she need?The form of the equation that can be used to determine how many more erasers Miss Jones needs is :
Number of more erasers needed = (total erasers needed - erasers in her desk) / number of erasers sold in a pack
Where:
Total erasers needed = 50
erasers in her desk = 12
number of erasers sold in a pack = 6
= (50 - 12) / 6
= 38 / 6
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Choose the best definition for the following term: variable
Step-by-step explanation:
a variable is a quantity that may change within the context of a mathematical problem or experiment
I hope this was helpful
An equilateral triangle was rotated to create this figure. What is true about the axis of rotation?
The true statement about the axis of rotation is the option;
It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.
What is an axis of rotation?The axis of rotation is a straight line around which all points on a rotating body rotates.
The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle
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WHAT IS THE EQUATION FOR INVERSE PROPORTION?
Answer: Hi!
The equation for inverse proportion is x y = k or x = k/ y.
When finding the value of the constant k, you can use the known values and then use this formula to calculate all of the unknown values.
Hope this helps!
If India works overtime, she receives an hourly rate of 1-times her regular hourly 1/2 rate. What is her hourly overtime rate?
What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
If s(x) = 2 - x and t(x) = 3x, which value is equivalent to (s•f)(-7)?
Answer:
Step-by-step explanation:
t(-7)= 3(-7)= -21
s(-21)= 2-(-21)= 2 + 21= 23
Select all the expressions equivalent to 2.8⁴.
A. 6.8
B. 2.8 + 2.8 + 2.8 + 2.8
C. 11.2
D 2.8 + 4
E. 2.8 × 2.8 × 2.8 × 2.8
F. 61.4656
G. 2.8 × 4
\(\huge\text{Hey there!}\)
\(\large\text{Select all the expressions equivalent to }\mathsf{2.8^4}\)
\(\large\text{Exponents is a number that is being said how many times to use}\\\large\text{when you are multiplying}\)
\(\large\text{Now lets try to solve for your answer(s)}\)
\(\bold{2.8^4 = 2.8\times2.8\times2.8\times2.8}\\\bold{2.8\times2.8\times2.8\times2.8}\\\bold{2.8\times 2.8 = 7.84}\\\bold{7.84\times7.84= answer}\\\uparrow\large\text{Solve above and you should have one of your answers!}\\\bold{\rightarrow 7.84\times7.84= 61.4656}\)
\(\bold{2.8^4\ is\ EXPRESSED\ approximately\ 4\ times}\\\\\bold{\rightarrow 2.8^4= 2.8\times2.8\times 2.8\times2.8}\)
\(\boxed{\boxed{\large\text{Answer: \underline{\bf{Option E.) 2.8 * 2.8 * 2.8 * 2.8 \& Option F. 61.4646}}}}}\huge\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
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Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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based on the above estimated regression equation, if price is increased by 6 units, then demand is expected to
Therefore demand is "decreased by 100 units".
What is predicted value in regression?
Given the values of X, we can predict the values of Y using the regression line. We go directly up to the line for any given value of X, then move horizontally to the left to get the value of Y. The expected value of Y is abbreviated Y' and is known as the predicted value of Y.
\($$\begin{aligned}& \hat{y}=130-20 x \\& \hat{y}=\text { demand of product } \\& x=\text { price of product }\end{aligned}$$\)
Given \($x$\), increased by 5 units
\($$\begin{aligned}& \hat{y}=130-20(x+5)=130-20 x-100 \\& \hat{y}=30-20 x\end{aligned}$$\)
Therefore demand is "decreased by 100 units"
Complete question: Regression analysis was applied between demand for a product (y) and the price of the product (x), and the following estimated regression equation was obtained. ŷ = 130 − 20x Based on the above estimated regression equation, if price is increased by 5 units, then demand is expected to: increase by 100 units. decrease by 20 units. increase by 130 units. decrease by 100 units.
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the tree has 3 acorns under it. each 3 more fall under the tree. how many acorns are under the tree after the first 5 days?
Answer:
18
Step-by-step explanation:
3x6 = 18
When a radius intersects a chord of a circle at a right angle, what conclusion can be made?
The radius is bisected.
The chord is bisected.
The radius and the chord are congruent.
The radius is twice as long as the chord.
Answer:
The chord is bisected
Step-by-step explanation:
This problem seek our knowledge on the mensuration of flat shapes, a circle.The chord of a circle is a segment whose endpoints are on the circle. when a perpendicular bisector ( the radius) of any chord passes through the center of the chord at right angle to the chord, the chord is bisected into two. This is a way or could give us a good way to find the center of any circle.
kindly find attached a diagram for your reference
Answer:
B
Step-by-step explanation:
A bag has 3 res marbles, 2 blue, 1 yellow and 4 green . What is the probability of pulling a green
Answer:
4/10 but simplified = 2/5
Step-by-step explanation:
Add the marbles up, there are 4 green, so it's 4/10
But if you simplify it, it would be 2/5
I hope this helped!
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
In the diagram below, the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, & the first aid station, F. The campground is 0.35 mile from the lifeguard chair. The straight paths from both the campground and first aid station to the park ranger station are perpendicular.
If the path from the park ranger station to the campground is 0.65 mile, determine and state, to the nearest
hundredth of a mile,
a. Find the length of PL
Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.
How to calculate the valueIt should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:
= ✓(0.35² + 0.65²)
= 0.76 miles.
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Solve this using the substitution method
-5x+4y=3
X=2y-15
Answer:
x = 9 , y = 12
Step-by-step explanation:
Solve the following system:
{4 y - 5 x = 3
x = 2 y - 15
Hint: | Perform a substitution.
Substitute x = 2 y - 15 into the first equation:
{4 y - 5 (2 y - 15) = 3
x = 2 y - 15
Hint: | Expand the left-hand side of the equation 4 y - 5 (2 y - 15) = 3.
4 y - 5 (2 y - 15) = 4 y + (75 - 10 y) = 75 - 6 y:
{75 - 6 y = 3
x = 2 y - 15
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{75 - 6 y = 3
x = 2 y - 15
Hint: | Isolate terms with y to the left-hand side.
Subtract 75 from both sides:
{-6 y = -72
x = 2 y - 15
Hint: | Solve for y.
Divide both sides by -6:
{y = 12
x = 2 y - 15
Hint: | Perform a back substitution.
Substitute y = 12 into the second equation:
{y = 12
x = 9
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 9 , y = 12
find the exact volume of a waffle ice cream cone with a 9 in diameter and a height of 17 inches
The exact volume of the waffle ice cream cone is 114.75π square inches
Calculating the volume of a coneFrom the question, we are to determine the volume of the waffle ice cream cone
The volume of a cone can be calculated by using the formula,
V = 1/3πr²h
Where V is the volume
r is radius
and h is the height
From the given information,
Diameter = 9 in
∴ Radius, r = 9/2 in = 4.5 in
h = 17 in
Putting the parameters into the formula, we get
V = 1/3 × π × 4.5² × 17
V = 114.75π square inches
Hence, the volume is 114.75π square inches
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looking for the 2 correct answers please
Answer:
ROQQOPStep-by-step explanation:
The sine of an angle is equal to the cosine of its complement, and vice versa.
sin ∠QOP = cos ∠ROQ
cos ∠ROQ = sin ∠QOP
6.15x10^5 in standard notation
Answer:
615,000
Step-by-step explanation:
The exponent is 5, making it 10 to the power of 5. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 5 time(s):
6.15
I hope i am right. If i am please mark me as brainliest.
Whoever answers 5 first gets brainliest
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The equation for the total cost of all adult tickets (a) and student tickets (s).
4a + 2.5s = 2,820
a + s = 900
The number of adults ticket and student tickets is 380 and 520.
We have,
Adults ticket cost = $4
Student ticket cost = $2.5
Now,
Total amount earned = $2,820
The equation for the total cost of all adult tickets (a) and student tickets (s).
4a + 2.5s = 2,820 ______(1)
And,
The number of tickets sold = 900.
We can write as equation as:
a + s = 900 ______(2)
Now,
We have two equations.
4a + 2.5s = 2820
a + s = 900
Solving for s.
s = 900 - a
Substituting in (1)
4a + 2.5(900 - a) = 2820
Simplifying and solving for a.
4a + 2250 - 2.5a = 2820
1.5a = 570
a = 380
Now,
a + s = 900
380 + s = 900
s = 520
Therefore,
The number of adults ticket and student tickets is 380 and 520.
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4. For a process quality characteristics, the specification limits are 0.4037 +/- 0.0013 (that is from 0.4024 to 0.4050). The following data gives the data for 14 measurement data sets, each data set is a subgroup of 5 measurement. The value is recorded in the units of 0.0001 (that is, the specification limit will be considered 24 to 50) Based on the following data, compute Cp,Cpk,Pp and Ppk.(Use MINITAB is ok) and determine if the capability of the process. Subgroup Subgroup # 1 2 3 4 5 # 1 2 3 4 5 . 1 36 35 34 33 32 34 28 35 34 38 . 2 31 31 34 32 30 36 35 37 34 33 . 3 30 30 32 30 32 30 37 33 34 35 . 4 32 33 33 32 35 38 31 33 33 33 . 5 32 34 37 37 35 33 30 34 33 35
If the calculated Cp and Cpk values are greater than 1, the process is considered capable. If Pp and Ppk are greater than 1, the process is considered capable.
To calculate Cp, Cpk, Pp, and Ppk using MINITAB, you would need to input the data into the software and run the appropriate statistical analysis.
Cp and Cpk are measures of a process's capability, they are calculated as follows:
Cp = (USL - LSL) / (6*σ)Cpk = min(Cpu, Cpl)Where,
USL and LSL are the upper and lower specification limitsσ is the standard deviation of the process.Pp and Ppk are similar to Cp and Cpk, but they are calculated using the range of the data instead of the standard deviation.
Pp = (USL - LSL) / (4*R)Ppk = min(Ppu, Ppl)Where R is the range of the data.
If the calculated Cp and Cpk values are greater than 1, the process is considered capable. If Pp and Ppk are greater than 1, the process is considered capable.
It is worth noting that Capability analysis can only be performed on stable and in-control processes. If the process is not in control, analyzing process capability is not meaningful.
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Given f(x)=1−5x2 and g(x)=2x−1, show that f∘g is not equal to g∘f
;ertwe rtwer tiouwertuweriot werltjwelrt we
THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))
Answer:
Circle 1: 37.68 ft
Circle 2: 28.26 cm
The Yasuda family bought a toy that cost t dollars and a game that cost g dollars. Both were on sale. Which of these methods could the clerk use to calculate their total bill?
The equation that the clerk can use to calculate their total bill is t + g.
How to illustrate the equation?From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.
The equation to calculate their total bills will be:
= t + g
where,
t = cost of toy
g = cost of game.
In this case, the equation that the clerk can use to calculate their total bill is t + g .
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What is the surface area of this figure?
Answer:
285 square centimeters
Step-by-step explanation:
Make sure all the units are the same and consistent
This figure is a Prism where the Base shape is a combination of a rectangle and an isosceles triangle
Area of a rectangle = Length × Breadth
Area of a triangle = \(\frac{1}{2}\) × (Base of triangle) × (Perpendicular height of triangle)
The perpendicular height of 4 cm divides the isosceles triangle into two equal right-angled triangles. The length of slant height of the right-angled triangle can be determined using the Pythagorean Theorem:
hyp = Hypotenuse = Slant height
opp = Opposite = 4 cm
adj = Adjacent = 8 cm
\(hyp^{2} = opp^{2} + adj^{2}\)
\(hyp^{2} = 4^{2} + 4^{2}\)
\(hyp^{2} = 16 + 16\)
\(hyp^{2} = 32\)
\(\sqrt{hyp^{2}} = \sqrt{32}\)
∴hyp = Slant height = \(\sqrt{32}\) cm
Every face of this figure has to be analyzed carefully while calculating the Surface Area:
Front and Back Faces = 2 × [Area of rectangle + Area of triangle]
= 2 × [(6 × 8) + (\(\frac{1}{2}\) × 8 × 4)]
= 2 × [48 + 16]
= 2 × 64
= 128 square centimeters
Left and Right Faces =
2 × [Area of top rectangle + Area of bottom rectangle]
= 2 × [(5 × 6) + (5 × \(\sqrt{32}\))
= 2 × [\(30 + 5\sqrt{32}\)]
Expand the parenthesis using the Distributive Law:
= \((2)(30) + (2)(5\sqrt{32})\)
= (\(60 + 10\sqrt{32}\)) square centimeters
Bottom Face = Area of rectangle
= 8 × 5
= 40 square centimeters
∴Total Surface Area of this figure = (128 + 60 + \(10\sqrt{32}\) + 40) \(cm^{2}\)
= (228 + \(10\sqrt{32}\)) \(cm^{2}\)
= 285 square centimeters (Rounded to 3 significant figures)
If an investment company pays 6% compounded semiannually, how much will you have 5 years from now if you deposit $900?
How much would you earn if it were simple interest instead of compound interest?
With compound interest of 6% paid semiannually, a deposit of $900 would result in $1,191.02 after 5 years, while simple interest would earn $270, resulting in a total of $1,170.
To calculate the future value of an investment with compound interest, we can use the following formula:
FV =\(PV * (1 + r/n)^{(n*t)}\)
where FV, PV, r, n and t is the future value, present value, annual interest rate, number of compounding periods per year and number of years respectively.
In this case, the present value (PV) is $900, the annual interest rate (r) is 6%, and the interest is compounded semiannually, so there are 2 compounding periods per year (n=2). The period (t) of investment is 5 years.
Using these values, we can calculate the future value (FV) as follows:
FV = \(\$900 * (1 + 0.06/2)^{(2*5)\)
= \(\$900 * (1.03)^{10\)
= $1,191.02
Therefore, the future value of the investment after 5 years with compound interest would be $1,191.02.
If the interest were simple interest instead of compound interest, the calculation would be simpler. Simple interest is calculated as follows:
I = P x r x t
where I is the interest, P is the principal or present value, r is the interest rate, and t is the time period.
In this case, the interest rate is still 6% and the investment period is still 5 years, but the interest is calculated only on the principal amount of $900. Therefore, the interest earned would be:
I = $900 x 0.06 x 5
= $270
Therefore, the total amount after 5 years with simple interest would be the sum of the principal and the interest earned, which is:
Total = $900 + $270
= $1,170
Therefore, if the interest were simple interest instead of compound interest, the total amount after 5 years would be $1,170, and the interest earned would be $270.
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The year 2022 is a special year because the digit 2 appears three times.this is the third time eva the tortoise has lived through such a year with three identical digits. What is the youngest eva could be by the end of 2022?
Answer:
The youngest Eva could be by the end of 2022 is 40 years old.
Step-by-step explanation:
The previous years in which there were three identical digits were 1919 and 2002.
If Eva was alive in 1919, she would have been at least 103 years old by the end of 2022.
If Eva was alive in 2002, she would have been at least 20 years old by the end of that year, and at least 40 years old by the end of 2022.
Since this is the third time Eva has lived through such a year, she must have been alive in 2002. Therefore, the youngest Eva could be by the end of 2022 is 40 years old.
Answer:
The youngest Eva could be by the end is 40 years
If Sharpie markers are on sale for 10 markers for $8.00, how many markers can be bought for $24.00?
Answer:
30 markers
Step-by-step explanation:
We need to divide 24 by 8 to find how many packs of 10 markers we can buy, this gets us 3 packs of 10 markers. I hope this helps!