Answer:
Company needs to print [tex]782,340[/tex] surveys in 2012.
Step-by-step explanation:
In 2011, 78,234 students participated in the survey.
Now in 2012 it is to be increased by 10 times. So there will be 10 times more students participating in the survey. Therefore they will need as 10 times more surveys.
Number of surveys needed in 2012 = [tex]78,234*10[/tex]
=[tex]782,340[/tex]
Company needs to print [tex]782,340[/tex] surveys in 2012.
In one version of a trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix there are 4.5 cups of peanuts mixed with 3 cups of raisins are these ratios equivalent? explain your reasoning.
Ask google if you still can't get the answer.
Juan is participating in a 40 mile bike race. He will pedal at a steady rate of 11.5 miles per hour. He pedaled for 1 hour and 45 minutes with the wind and for 2 hours and 30 minutes against the wind and finished the race in 4 hours and 15 minutes. What was rate at which the wind was blowing in miles per hour?
To work this problem, you must assume that Juan's pedaling speed adds to the wind speed when going downwind, and that the wind speed subtracts from Juan's pedaling speed going upwind. (In other words, Juan's pedaling speed is relative to the air, not the ground.)
Let w represent the wind speed in miles per hour.
... distance = speed × time
Juan's total distance is 40 miles, so we have ...
... 40 = (11.5 +w)×1.75 + (11.5 -w)×2.50
... 40 = 48.875 - 0.75w . . . . . simplify
... -8.875/-0.75 = w . . . . . . . . subtract 48.875, divide by -0.75
... w = 11.833... = 11 5/6
The wind was blowing 11 5/6 miles per hour.
_____
Compared with real-life experience, and working through the details, this problem makes no sense whatever. Pedaling a bicycle is not like rowing a boat, where the current of the medium directly affects speed.
If you work through the segments of the problem, you find that Juan traveled 40.833 miles with the wind in the first 1.75 hours, so actually finished the race and then some. He spent the next 2.5 hours being blown backward by the wind, even though he was pedaling forward at 11.5 mph. (How much sense does that make?)
The number of cubic feet of water in a curved container can be approximated by V = 0.95h2.9. Find the amount of water in the container when h = 8 feet. Round to the nearest tenth.
We are given
[tex]V=0.95h^2[/tex]
we can plug h=8
and then we can find volume
[tex]V=0.95(8)^2[/tex]
[tex]V=60.8ft^3[/tex]
so,
the amount of water in the container when h = 8 feet is 60.8 ft^3........Answer
Answer:
395.1
Step-by-step explanation:
Simplify
0.95 ( 8 ) ^2.9= v
395.07956558
If i have a pay rate of $21.00 and marked up 78.7% and made a 10% profit. how did i get $41.28?
Solution-
The original or cost price of the good = $21.00
Then, it is marked up 78.7%, i.e the price is 78.7% more than the initial price, which in this case is $21.
The new price is,
[tex]21+(21\times \frac{78.7}{100})=\$37.527[/tex]
Then, 10% profit must be earned after selling the good. Hence, the list price must be 10% more of 37.527,
So, the selling or list price is
[tex]37.527+(37.527\times \frac{10}{100})=\$41.279 \approx \$41.28[/tex]
∴ $41.28 is the selling price of the good and this is how you got it.
Tom paid $245.97 for a laptop. This was 3/5 of the original price. What was the original price?
Let's make the mysterious, original price not-so-mysterious by calling it x. 245.97 is 3/5 of x.
We can equation this.
245.97 = 3/5x
x = 245.97 / (3/5)
x = 409.95
The answer, I believe, is $409.95. Hope this helps!
The original price of the laptop that Tom bought is calculated using the formula for the value of a part. This leads us to an equation, $245.97 / 0.6, resulting in the original price of the laptop being $409.95.
Explanation:The subject of this question is basic mathematics, predominantly fraction and ratio. The problem states that Tom paid $245.97, which was 3/5 of the original price of the laptop. To find the original price, we can apply the formula for the value of a part, which states that the whole is equal to the part divided by the ratio representing the part. In this case, this gives us the equation $245.97 / (3/5) = Original Price.
To make this easier, we can convert the fraction 3/5 to its decimal form, which is 0.6. So, we will then have $245.97 / 0.6 = Original Price, which should give us the original price of the laptop. Completing the math, we find that the original price of the laptop is $409.95.
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The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario.
Answer:
B
Step-by-step explanation:
The wording in the problem statement is ...
... "less than 3 years"
... "at least 3. but less than 6 years"
so we expect the inequality symbols to look like ...
... 0 ≤ x < 3
... 3 ≤ x < 6
These match the second piecewise function.
help me out please geometry
Try this option (see the attachment, the answers are marked by red colour), note, the value of the left angle in not visible (task no. 3) >> solution not given.
Which number line represents the solutions to |x + 4| = 2?
the first number line
given | x + 4 | = 2
removing the bars from the absolute value gives
x + 4 = 2 or x + 4 = - 2
x = 2 - 4 or x = - 2 - 4
x = - 2 and x = - 6 ← solutions
these are indicated on the number line by a solid circle at - 2, - 6
Answer:
The solution is represented by the first number line, wich has the solutions x=-6 and x=-2.
Step-by-step explanation:
We have an absolute value function for the equation. This means that we should have two differents solution in the real number line. As the equation is
[tex]|x+4|=2[/tex]
when we clear out the absolute value, we will have two possible solutions:
[tex]x+4=2[/tex]
and
[tex]-(x+4)=2[/tex]
now we clear x from both equations
[tex]x+4=2 \Leftrightarrow x=2-4 \Leftrightarrow x=-2[/tex]
[tex]-(x+4)=2 \Leftrightarrow -x-4=2 \Leftrightarrow -2-4=x \Leftrightarrow x=-6[/tex]
Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.
WILL GIVE BRAINLIEST!
Which of the following are ways to express the same probability? Check all that apply.
30%
3/10
1/3
0.3
0.03
30%
3/10
0.3
I think these are the right answers if I am understanding you correctly. :)
30% ✔
3/10 ✔
1/3 ✖
0.3 ✔
0.03 ✖
Hope i Helped ❤
what is the equation of the line in standard form? please help me I am really having a hard time with this
Answer:
-4 - 2
m= --------- (over)
-1 - 2
Step-by-step explanation:
2x - y = 2
obtain the equation of the line in slope-intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (- 1, - 4) ← 2 points on the line
m = [tex]\frac{-4-2}{-1-2}[/tex] = [tex]\frac{-6}{-3}[/tex] = 2
the line crosses the y-axis at (0, - 2 ) ⇒ c = - 2
y = 2x - 2 ← in point-slope form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange y = 2x - 2 into this form
subtract y from both sides
0 = 2x - y - 2 ( add 2 to both sides )
2x - y = 2 ← in standard form
Write an expression to match the description: 2 less than y
y - 2
Step-by-step explanation:You get 2 less than a value when you subtract 2 from that value.
Two circles, called c1 and c2, are graphed below. The center of c1 is at the origin, and the center of c2 is the point in the first quadrant where the line y=x intersects c1. Suppose c1 has radius 2. C2 touches the x and y axes each in one point. What are the equations of the two circles?
Answer:
The equation of [tex]C_{1}[/tex] is: [tex]x^2+y^2=4[/tex]
and the equation of [tex]C_{2}[/tex] is: [tex]x^2+y^2-2\sqrt{2}x-2\sqrt{2}y+2=0[/tex]
Step-by-step explanation:
The standard form of circle equation: [tex](x-h)^2+(y-k)^2 = r^2[/tex] , where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius of the circle.
The center of the circle [tex]C_{1}[/tex] is at origin or at (0, 0) and has radius of 2.
So, the equation of the circle [tex]C_{1}[/tex] will be........
[tex](x-0)^2+(y-0)^2=(2)^2\\ \\ x^2+y^2=4 ..........................................(1)[/tex]
Now, the center of [tex]C_{2}[/tex] is the point in the first quadrant, where the line [tex]y=x[/tex] intersects [tex]C_{1}[/tex]
Solving the equations [tex]x^2+y^2=4[/tex] and [tex]y=x[/tex] , we will get......
[tex]x^2+x^2= 4[/tex] (Substituting [tex]y[/tex] as [tex]x[/tex])
[tex]2x^2= 4\\ \\ x^2=2\\ \\ x=\pm \sqrt{2}[/tex]
So, [tex]y=x = \pm \sqrt{2}[/tex]
Thus, the center of the circle [tex]C_{2}[/tex] will be at [tex](\sqrt{2},\sqrt{2})[/tex] (Negative value is ignored as the point is in first quadrant)
Now, the distance between the center of [tex]C_{2}[/tex] and the x-axis is [tex]\sqrt{2}[/tex] and the circle touches the x-axis only at one point.
That means, the radius of the circle [tex]C_{2}[/tex] will be also [tex]\sqrt{2}[/tex]
So, the equation of the circle [tex]C_{2}[/tex] will be......
[tex](x-\sqrt{2})^2+(y-\sqrt{2})^2= (\sqrt{2})^2\\ \\ x^2-2\sqrt{2}x+2+y^2-2\sqrt{2}y+2=2\\ \\ x^2+y^2-2\sqrt{2}x-2\sqrt{2}y+2=0[/tex]
What is the value of 15i/2+i ?
–3 + 6i
3 + 6i
5 + 5i
5 – 5i
3 + 6i
multiply the numerator/ denominator by the conjugate of 2 + i
the conjugate of 2 + i = 2 - i
[tex]\frac{15(2-i)}{(2+i)(2-i)}[/tex]
= ( 30i - 15i² ) / (4 - i² ) → ( i² = (√-1 )² = -1 )
= [tex]\frac{30i+15}{5}[/tex] = 6i + 3
Answer:
3+6i
Step-by-step explanation:
[tex]\frac{15i}{2+i}[/tex]
To divide we multiply by the conjugate of denominator
conjugate of 2+i is 2-i
Multiply top and bottom by 2-i
[tex]\frac{(15i)(2-i)}{(2+i)(2-i)}[/tex]
Apply FOIL method to multiply. value of i^2 = -1
(15i)(2-i) = 30i - 15i^2 = 30i +15(-1)= 30i+15
(2+i)(2-i)= 4 - i^2 = 4+1= 5
[tex]\frac{30i+15)}{5}[/tex]
Divide each term by 5
6i+3
so its 3+6i
What are the solutions of 2x^2-6x+5=0
x = [tex]\frac{3}{2}[/tex] ± [tex]\frac{1}{2}[/tex]i
the equation has no real zeros but instead has 2 complex zeros
the discriminant = b² - 4ac
with a = 2, b= - 6, c = 5
b² - 4ac = (-6)² - (4 × 2 × 5 ) = -4
since b² - 4ac < 0 there are no real zeros
using the quadratic formula
x = ( 6 ± √(- 4 ) )/4 = ( 6 ± 2i ) / 4
x = [tex]\frac{6}{4}[/tex] ± [tex]\frac{2}{4}[/tex] i
= [tex]\frac{3}{2}[/tex] ± [tex]\frac{1}{2}[/tex] i
Answer: x=3+i/2 or x=3-i/2
APEX
What is the solution of the system
How do you solve this equation?
5-3z-18= z-1+ 8z
Thanks
which beest describes the triangle or triangles, if any, that can be formed with two sides that each measure 5 inches and an angle that measures 60 degrees?
A. one equilateral triangle
B. one isosceles triangle
C. no triangle
D. two different isosceles triangles.
Answer:
One isosceles triangle
Step-by-step explanation:
The first four numbers of a pattern are shown below. What would be the 6th number in the pattern?
0.125, 0.5, 2, 8
Please explain how you got the answer.
answer:
128
step-by-step explanation:
1. recognize how we get to each number in the pattern
to get from 2 to 8 we can either add 6 or multiply by 4
2. lets see if either of those match up with the rest of the numbers in the pattern
0.125 + 6 = 6.125
our next value is .5 not 6.125
0.125 × 4 = .5
that works! so lets see if it works with the rest of our pattern -
0.5 × 4 = 2
it works! so our pattern is multiplying each value by 4
3. use our pattern on the value of 8
8 × 4 = 32
32 is our 5th value but we are looking for our 6th value
4. use on pattern on the 5th value (32)
32 × 4 = 128
The 6th number in the pattern is calculated by identifying the rule that each number is being multiplied by 4 to get the next one. By continuously applying this rule, we find that the 6th number is 128.
Explanation:The subject of this question involves the identification and continuation of a numerical pattern. The given pattern is 0.125, 0.5, 2, 8. To recognize this pattern, observe the relationship between consecutive numbers. It seems like each number is being multiplied by 4 to obtain the next one. We can apply the same rule to find the 6th number in the sequence:
Multiply the 4th number (8) by 4 to get the 5th number = 8*4 = 32. Multiply the 5th number (32) by 4 to get the 6th number = 32*4 = 128.Therefore, the 6th number in the given pattern should be 128.
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The gross weight of a truck containing 30 pigs is 8 tons 1,123 pounds and 6 ounces. The average weight of one pig is 95 pounds 10 ounces. Find the following: a.The net weight of the pigs in the truck. b. The weight of the empty truck.
Answer:
a) 2868 lbs 12 ozb) 7 tons 254 lbs 10 ozStep-by-step explanation:
a) There are 16 ounces in a pound, so 10 ounces is 10/16 = 5/8 lb. The total weight of the pigs is their number multiplied by their average weight:
... weight of pigs = 30 × 95 5/8 lb = ((30·95) + (30·5/8)) lb
... = (2850 + 150/8) lb = (2850 +18 3/4) lb = 2868 lb 12 oz
b) The truck tare weight is the gross weight less the weight of the pigs.
... truck tare = truck gross - truck load
... = (8×2000 lb) + (1123 lb) + (6/16 lb) - (2868 3/4 lb)
... = 17123 3/8 lb - 2868 3/4 lb = (17123 -2868) lb +(3/8 -3/4) lb
... = 14255 lb - 3/8 lb
... = 14254 5/8 lb
... = 14000 lb + 254 lb + 5/8 lb
... truck tare weight = 7 tons 254 lbs 10 oz
_____
Many graphing calculators will handle calculations with fractions very nicely.
What units would you use for each scenario that follows?
1. riding a bicycle
2.rainfall during a storm
3.water coming from a fire hydrant
4. watching caloric intake
Thanks
Answer:
m - Meter - Length.
s - Second - Time.
K - Kelvin - Temperature.
kg - Kilogram - Mass.
Units you might use in these scenarios include meters or kilometers for distance, meters per second or kilometers per hour for speed, millimeters or inches for rainfall, gallons or liters for volume, gallons per minute or liters per second for flow rate, and calories for caloric intake.
Explanation:In each of these scenarios, you would use different units to measure different things:
For riding a bicycle, you might use units like meters or kilometers to measure distance, or meters per second or kilometers per hour to measure speed.In the case of rainfall during a storm, the unit of measurement would generally be millimeters or inches to indicate the amount of rain that fell.If we're referring to water coming from a fire hydrant, you would measure the volume in gallons or liters, or the flow rate in gallons per minute or liters per second.When watching caloric intake, the unit you would use is calories.Learn more about units here:https://brainly.com/question/33241167
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You are constructing a tangent line from a point outside a given circle to the circle is to draw a circle and a point outside the circle. You have drawn the circle, a point outside the circle and connected the center of the circle to the point outside the circle. You found the midpoint of the segment. Next you must use your compass. After you set it, where should you put the point?
Answer choices
A) The center of the circle
B) The point outside the circle
C) The midpoint of the segment
D) The intersection of the segment and the circle
Answer: Option C) The midpoint of the segment.
Then, you draw a circle with radius the half of the distance between the center of the circle and the point outside the circle.
The tangency points are the points where this circle cuts the given circle.
What will be the common denominator when the operation is completed?
7/3 - 8/12x-8
To solve the given operation firat we take LCM for both terms.
As denominator of first term is 3 and second term is [tex] 12x-8 [/tex]
Therefore, the Lcm is [tex]3(12x-8) [/tex]
Now solving and making same denominator for each term
[tex]\frac{7}{3} [/tex] [tex]\times [/tex] [tex] \frac{12x-8}{12x-8} [/tex]
On multiplying we get
[tex]\frac{7(12x-8)}{3(12x-8)} [/tex] [tex]=\frac{84x-56}{3(12x-8)} [/tex]
Now solving other term
[tex]\frac{8}{12x-8} [/tex] [tex]\times [/tex] [tex]\frac{3}{3} [/tex]
On multiplying we get
[tex]\frac{24}{3(12x-8)} [/tex]
Now solving the expression by putting the values
[tex]\frac{84x-56-24}{3(12x-8)} [/tex]
[tex]\frac{84x-80}{12(3x-2)} [/tex]
[tex]\frac{4(21x-20)}{12(3x-2)} [/tex]
On solving we get
[tex]\frac{21x-20}{3(3x-2)} [/tex]
There denominator of the expression is
[tex]9x-6 [/tex]
Hope this will help
A cell phone company sold 450 cell phones in three hours. This was 30% of the number of phones sold that day. How many cell phones did the cell phone company sell that day?
A cell phone company sold 450 cell phones in three hour
450 is 30% of the number of phones sold that day
30% of number of phones = 450
We need to find the number of phones for 100%
Let x be the number of cell phones sold that day
30% of x is 450
[tex]\frac{30}{100} * x= 450[/tex]
multiply by 100 on both sides
30 * x = 45000
Divide by 30
x = 1500
So 1500 cell phones are sold that day
To find the total number of cell phones sold by the company in a day, set up a proportion using the given information and solve for the total number of cell phones sold. In this case, the company sold 15,000 cell phones that day.
A cell phone company sold 450 cell phones in three hours, which was 30% of the phones sold that day. To find the total number of cell phones sold that day, we can set up a proportion:
Let x be the total number of cell phones sold that day.
450/3 = x/100
450 × 100 = 3x
45000 = 3x
x = 15000
Therefore, the cell phone company sold 15,000 cell phones that day.
A ferryboat makes four trips to an island each day.The ferry can hold 88 people.If the ferry is full on each trip,how many passengers are carried by the ferry each day?
Multiplication was invented to reduce the work involved in repeated addition.
... 88 + 88 + 88 + 88 = 4×88 = 352
352 passengers are carried to the island each day.
_____
Some questions must be answered before we can give a definite answer.
1. If the same person rides twice, are they counted twice?
2. Are passengers on the return trips (from the island) counted?
3. If return trip passengers are counted, is the ferry full on those trips?
4. Does every passenger to the island return the same day?
5. Does any passenger go to the island more than once per day?
6 + 10 - 2 = 11 +
how to find the missing number
The missing number can be shown as the variable x.
6 + 10 - 2 = 11 + x
So, you need to figure out what x is by getting it by itself. First, combine everything on the left side of the equation.
16 - 2 = 11 + x
14 = 11 + x
Now, what you do to one side of an equation, you have to do to the other. Subtract 11 from both sides
14 - 11 = 11 - 11 + x Cancel out the 11s and solve the left side.
3 = x
There's your answer! Now you can check your work by trying the 3 in your original problem.
6 + 10 - 2 = 11 + 3
14 = 14
Your missing number is 3.
Tell what you would do to isolate the variable.
3z = 5
a.
multiply 5 on both sides
c.
multiply 3 on both sides
b.
divide 5 on both sides
d.
divide 3 on both s
3z = 5
To isolate the variable ( solve for z), you need to divide both sides by 3.
The answer is D.
Alma invests $300 in an account that compounds interest annually. After 2 years, the balance of the account is $329.49. To the nearest tenth of a percent, what is the rate of interest on the account?
Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest
[tex]A=P(1+r)^t[/tex]
Plugging values in formula, we get
[tex]329.49=300(1+r)^2[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}300[/tex]
[tex]\frac{300\left(1+r\right)^2}{300}=\frac{329.49}{300}[/tex]
[tex]\left(1+r\right)^2=1.0983[/tex]
Taking square root on both sides, we get
[tex]1+r=\sqrt{1.0983}[/tex]
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]
[tex]1+r-1=\sqrt{1.0983}-1[/tex]
[tex]r=\sqrt{1.0983}-1[/tex]
[tex]r=1.048-1[/tex]
r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.
9/34 × 17/6 =
PLEASE HELP
It would equal 0.75 and as a fraction it is 3/4
Hi!
[tex]\frac{9}{34}* \frac{17}{6}[/tex]
[tex]\frac{9*17}{34*6}[/tex]
[tex]\frac{153}{34*6}[/tex]
[tex]\frac{153}{204}[/tex]
[tex]Answer---->\frac{3}{4}[/tex]
Explanation: First multiply by the fraction 9*17/34*6. Then multiply by the numbers 9*17=153, with 153/34*6. Next you can also multiply by 34*6=204, with 153/204 as a fraction. You can also cancel the common factor 51, and the answer is 3/4 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day! -Charlie
Will give brainliest!
In the diagram, which pair of angles are alternate interior angles?
2 and 5
1 and 7
5 and 3
7 and 4
"Alternate" angles are on opposite sides off the transversal.
"Interior" angles are between the lines the transversal is crossing.
The appropriate choice for alternate interior angles is ...
... 5 and 3
Answer:
The pair of angles the are alternate interior angles are 5 and 3. Or C.
Step-by-step explanation:
What is the value of (a + b) in the system of equations below?
8(a + b) + 3z = −9
a + b + z = 2
Select one:
A. -5
B. -4
C. -3
D. -2
C
given the 2 equations
8(a + b) + 3z = - 9 → (1)
(a + b) + z = 2 → (2)
multiply (2) by 3 so that the coefficients of z are equal
3(a + b) + 3z = 6 → (3)
subtract (1) - (3) to eliminate term in z
5(a + b) = - 15 ( divide both sides by 5 )
(a + b) = - 3 → C