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Related Questions
The first and second steps to solve the equation 3x/5 + 5 = 20.Are shown below
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
A.Addition Property of Equality
B.Subtraction Property of Equality
C.Multiplication Property of Equality
D.Division Property of Equality
Answers
Answer:
c
Step-by-step explanation:
onnie is doing the office coffee run one morning. There are two coffee machines in the building: one from STACO and one from TRUCKBASS. They dispense two types of coffee: black (no milk) and white (with milk). The machines are both rather temperamental. Every fourth coffee dispensed from STACO is black and the rest are white. The coffees dispensed from TRUCKBASS are alternately black and white. Lonnie visited one of the machines and bought some coffees, of which three turned out to be white. He went back to the same machine for the afternoon run and bought the same number of coffees again. What are the possible numbers of white coffees that Lonnie could have received this time?
Answers
He went back to the same machine for the afternoon and take another 3 coffees. Since the machine created 3 white in the morning, it should make 1 black coffee in the first run. The 2nd and 3rd run would give white coffee.
So, Lonnie will have 2 white coffee.
The possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3.
Explanation:In this problem, Lonnie visited one of the coffee machines and bought some coffees, of which three turned out to be white. He then went back to the same machine for the afternoon run and bought the same number of coffees again. We need to determine the possible numbers of white coffees that Lonnie could have received this time.
Since every fourth coffee dispensed from STACO is black and the rest are white, we can conclude that every 3 out of 4 coffees from STACO are white. Therefore, if Lonnie received only white coffees in the morning, then it is possible that he could have received all black coffees in the afternoon.
On the other hand, the coffees dispensed from TRUCKBASS are alternately black and white. So, if Lonnie received three white coffees in the morning, it is not possible for him to receive all black coffees in the afternoon from TRUCKBASS.
Therefore, the possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3, depending on which machine he visited.
Solve these problems using the berry method. Please show me the work! (291-298)
Answers
So, you start with a factorization that looks like
.. (ax + __)*(ax + __)
with the blanks to be filled by the numbers you determine in the second step.
Finally, you divide this product by "a" in an appropriate way. Often, that will mean you factor "a" from one of the binomials.
291) 5c^2 +13c +6
.. form to fill: (5c + __)*(5c + __)
We're looking for factors of 5*6 = 30 that add to 13.
.. 30 = 1*30 = 2*15 = 3*10 = 5*6 . . . . . . sums of factors are 31, 17, 13, 11.
The numbers we want are 3 and 10. Putting these into the form gives
.. (5c +3)*(5c +10)
.. = 5(5c +3)(c +2)
The factorization we want is
.. 5c^2 +13c +6 = (5c +3)(c +2)
294) 4d^2 +8d -21
.. 4*-21 = -84 = 84*-1 = 42*-2 = 28*-3 = 21*-4 = 14*-6 = 12* -7
.. These factor pairs have sums 83, 40, 25, 17, 8, 5, so our numbers are 14, -6.
.. (4d +14)(4d -6) . . . . form with numbers filled in
.. = 2(2d +7)*2(2d -3) . . . . . remove a factor of 4 by removing a factor of 2 from each binomial
.. = 4(2d +7)(2d -3)
The factorization we want is
.. 4d^2 +8d -21 = (2d +7)(2d -3)
297) 3g^2 -16g -12
.. 3*-12 = -36 = -36*1 = -18*2 = -12*3 = -9*4 = -6*6
.. These factor pairs have sums -35, -16, -9, -5, 0, so the numbers we want are -18 and 2.
The Berry Method form now looks like
.. (3g -18)(3g +2)
.. = 3(g -6)(3g +2)
The factorization we want is
.. 3g^2 -16g -12 = (g -6)(3g +2)
Helen earns $1,840 per month, after taxes. Of her monthly pay, 45% is for rent, 1/10 is for utilities, and 1/5th is for food. How much money does Helen have left after all these expenses?
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The first step is to find how much money 45% of $1840 is. When you multiply 0.45 by 1840 I got 825. So 45% of $1840 is $840.
Then I needed to find what 1/10 of $1840 is. 1/10 is equal to 10%, or 0.1. If you multiply 0.1 by 1840 you get 184. So 1/10 of $1840 is $184.
1/5 is equal to 20%, or 0.2. Take 0.2 and multiply it by 1840 and get 368. So, 1/5 of $1840 is $368.
I then added all three numbers, 825, 184, and 368, toghter and got 1377.
So now we know that $1377 is used to pay for Helen's expenses.
The last step is to subtract 1377 from 1840 to get the final answer of 463.
So, Helen has $463 dollars left after all her expenses.
The amount of money that Helen would have left after all these expenses is $460.
What is the amount left?In order to determine the amount that would be left, determine the money value of the expenses, add the expenses together and subtract it from the earnings.
Amount spent on rent = 45% x 1840 = $828Amount spent on utilities 1/10 x 1840 = $184 Amount spent on food = 1/5 x 1840 = $368Total value of expenses = 1380Amount left = 1840 - 1380 = $460
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How can the expression 3(4x) + 2(7y) be simplified?
7x + 9y
12x + 9y
12x + 14y
7x + 14y
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12x+14y
A small refrigerator is a cube with a side length of 16 inches. Use the formula S = 6s2 to find the surface area of the cube.
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A=1536 in
The surface area of the cube is 1536 in.
**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates or zero
Yes, at negative x-coordinates or zero
Yes, at negative and positive x-coordinates or zero
No, they will not intersect
Answers
We can prove this by substituting [tex]y=x[/tex] into the given equation:
[tex]x^2+x^2=36[/tex]
[tex]2x^2=36[/tex]
[tex]x^2 = 18[/tex]
[tex]x = \pm 3\sqrt{2}[/tex]
Hence, [tex]x = 3\sqrt{2}[/tex] or [tex]-\sqrt{2}[/tex], so there are both positive and negative values for [tex]x[/tex].
Answer:
will intersect the circle at negative and positive x-coordinates.
Step-by-step explanation:
^^
A full grain silo empties at a constant rate. write an expression to determine the amount of grain left after s seconds
Rate: 3.5 ft 3/s
I'm asking this question again because this is urgent!
Answers
To calculate the remaining amount of grain in a silo discharging at a constant rate, we subtract the total amount discharged (rate times time) from the initial amount. This can be expressed as 'G = I - 3.5s' where 'G' is the amount of grain left after 's' seconds, 'I' is the initial amount, and '3.5' is the discharge rate in ft3/s.
Explanation:If the silo empties at a constant rate, it can be modeled with linear equations. In this case, the rate of grain being emptied from the silo is 3.5 units of grain every second. Please note that to find the amount of grain left after a certain amount of time, we need to know the initial amount of grain in the silo, let's call it 'I'.
For your problem the general mathematical expression would be: total amount of grain left = initial amount of grain (I) - (rate × time),
If we denote the amount of grain left after 's' seconds as 'G', we can write the equation as: G = I - 3.5s
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A convex pentagon has the following measurements for its interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the following could be measurements for interior angles of the pentagon? Select all that apply.
A: 60
B: 68
C: 76
D: 108
E: 193
F: 540
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Answer:
60
Step-by-step explanation:
what is the value of x in the solution of the system of y=2x and 4x+y=6
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WHOEVER HELPS FIRST GETS BRAINLIEST. IM BEING TIMED!!!
Answers
Answer:
Step-by-step explanation:
what 9x11
The function y= -16t^2 +24t represents the height y (in feet) of a tennis ball bouncing straight up from the ground t seconds after it bounces. After how many seconds does the tens ball return to the ground?
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Answer:
-16t² + 24t = 0
-8t(2t - 3) = 0
t = 1.5 seconds
The tennis ball returns to the ground in 1.5 seconds.
The tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.
To find when the tennis ball returns to the ground, you need to determine when the height y is equal to zero. In the given function [tex]y = -16t^2 + 24t\)[/tex], set y equal to zero and solve for t:
[tex]\[ -16t^2 + 24t = 0 \][/tex]
Factor out 8t from both terms:
[tex]\[ 8t(-2t + 3) = 0 \][/tex]
Now, set each factor equal to zero:
1. 8t = 0: This gives t = 0.
2. -2t + 3 = 0: Solve for t.
[tex]\[ -2t = -3 \][/tex]
Divide both sides by -2:
[tex]\[ t = \frac{3}{2} \][/tex]
So, the two solutions are t = 0 and [tex]\(t = \frac{3}{2}\)[/tex]. However, \(t = 0\) corresponds to the initial bounce, and we are interested in the time it takes for the ball to return to the ground after the first bounce.
Therefore, the tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.
A cup of water holds about 8 ounces. If a recipe calls for 1/3 cup of water, which is the best estimate of the number of ounces that are needed?
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1/3x8 ounces so answer will be 2.66666...... Or can be rounded to 3
The best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
What is the best estimate of the number of ounces that are needed?The best estimate of the number of ounces that are needed is calculated as follows;
To determine the number of ounces needed when a recipe calls for 1/3 cup of water, we can use the fact that there are 8 ounces in a cup.
Since 1/3 is a fraction, we need to divide 8 ounces by 3 to find the amount of water needed for 1/3 cup.
8 ounces ÷ 3 = 2.6667 ounces (rounded to four decimal places)
Rounding it to a reasonable decimal place, the best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.
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The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle of sunscreen hold ?
Answers
12×0.75=9
Answer:
9 ounces
Step-by-step explanation:
The information in the question given
The family size bottle of sunscreen holds 12 fluid ounces of sunscreen.
The regular bottle holds 75% less.
we need to find that how many fewer fluid ounces does the regular bottle of sunscreen hold?
Now given family size bottle holds 12 fluid ounces. But regular bottle has 75% less, therefore it can be measured as below
75/100 x 12 = 9 ounces
So the regular bottle holds 9 ounces of fluid.
mindy needs 3 1/3 cups of raisins for the trail mix shes making she only has 1 2/3 cups of raisins in her pantry how many more raisins does she need?
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How do you find x/2 + x/2 = 8/12
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2x=8/6
6*2x=8/6*6
12x=8
x=8/12
x=0.66667
x/2+x/2=8/12
2x/2=8/12
divide both sides by 2, then multiply both sides by 2
x=8/12=2/3
In the fraction 15⁄7, which of the following is 15?
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In the fraction 15⁄7, 15 is the numerator, indicating the number of parts considered, while 7 is the denominator, indicating the total parts in a whole.
Explanation:In the fraction 15⁄7, 15 is the numerator. This is the part of the fraction that represents the number of equal parts being considered. In contrast, the 7 represents the denominator, which indicates the total number of equal parts that make up a whole.
When you see a fraction, the top number, which is called the numerator, answers the question of 'how many parts you have.' The bottom number, the denominator, answers 'how many parts the whole is divided into.' Therefore, in the given fraction, you have 15 parts out of a total of 7 parts, which suggests that you have more than one whole - this is known as an improper fraction, because the numerator is larger than the denominator.
select the measurement that is most reasonable
a. a street has a width of 5 meters
b. a cat has a mass of 5 grams
c. a swimming pool has a capacity of 5 liters
d. a beetle has a mass of 5 kilograms
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Let us try to explain each option one by one.
a) a street has a width of 5 meters
This is quite reasonable as the width of street can be approximately 5 meters.
b. a cat has a mass of 5 grams
The mass of a newborn cat is 99 grams. So no cat can weigh 5 grams, as its too small.
c.a swimming pool has a capacity of 5 liters
5 liters is too small quantity for a small sized swimming pool too.
d. a beetle has a mass of 5 kilograms
A beetle is a small creature measuring mostly in grams.
So answer is option a. a street has a width of 5 meters
there were 629,000 women motorcyclists, up from 447,000 eight years ago. what's the percentage of increase?
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What is the GCF of the numerator and denominator in the following fraction? -99/176
3
9
11
They are relatively prime.
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176 = 16*11
Both factorizations have 11 show up. It turns out that 11 is the largest common factor.
Answer: C) 11
Note: if you divide both numerator and denominator by 11, then the fraction reduces to -9/16
the answer is 11 :))
rank has a circular garden. The area of the garden is 100 ft2. What is the approximate distance from the edge of Frank’s garden to the center of the garden? (A = πr2) A) 6 ft B) 8 ft C) 10 ft D) 12 ft
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It is given that the area of the circular garden = 100 [tex]ft^2[/tex]
Area of circle with radius 'r' = [tex]\pi r^2[/tex]
We have to determine the approximate distance from the edge of Frank’s garden to the center of the garden, that means we have to determine the radius of the circular garden.
Since, area of circular garden = 100
[tex]\pi r^2 = 100[/tex]
[tex]\frac{22}{7} \times r^2 = 100[/tex]
[tex]r^2 = \frac{700}{22}[/tex]
[tex]r^2 = 31.8[/tex]
[tex]r = \sqrt{31.8}[/tex]
So, r = 5.6 ft
r = 6 ft (approximately)
Therefore, the approximate distance from the edge of Frank’s garden to the center of the garden is 6 ft.
So, Option A is the correct answer.
The given garden is circular in shape with area 100 square feet.
Area of the garden = πr²
Given area = 100 square feet
Hence,
[tex]3.14r^{2}=100[/tex]
[tex]r^{2}=\frac{100}{3.14}[/tex]
[tex]r^{2}=31.847[/tex]
r=[tex]\sqrt{31.847}[/tex]
= 5.6433 which is approximately 6.
Hence, option A = 6 ft is the answer.
Explain the steps you would take to model a desert community in which 77% of the area is covered with houses.
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Answer:
77 out of 100 grids will have some marking to differentiate it from others.
Step-by-step explanation:
To model a desert community in which 77% of the area is covered with houses you may use different options as per your choice. You may put a border to the 77 of the 100 grid. If we choose a 10 by 10 grid then it will be preferable for modeling a desert community if you will mark 77 out of 100 grid.
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What is the area of this polygon?
42.5 units²
41.5 units²
35.5 units²
29.5 units²
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You and your friend covered a total distance of 72 kilometers in a bicycle relay race. The tape diagram shows how the distance was covered in 9 equal parts.
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Answer:
Question 1.. A. Question 2.. C Question 3.. D. Question 4.. D. Question 5.. C.
Question 6.. A. Question 7.. B. Question 8.. B. Question 9.. B.
A boat travel 312 miles each way downstream and back. The trip downstream took 13 hours. the trip back took 26 hours. What is the speed of the boat in still water. what is the speed of the current.
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Let [tex]S _{b} [/tex] be the speed of the boat in still water and [tex]S_{c} [/tex] the speed of the current.
Now, for the downstream trip the boat is traveling with the current, so:
[tex]S_{b} +S_{c} = \frac{156}{13} [/tex]
[tex]S_{b} +S_{c} =12[/tex] this will be our equation (1)
For the trip back the boat is traveling against the current, so:
[tex]S _{b} -S_{c} = \frac{156}{26} [/tex]
[tex]S_{b} -S_{c} =6[/tex] this will be our equation (2)
Next, lets add equation (1) and equation (2) to get rid of [tex]S _{c} [/tex]:
[tex] \left \{ {{S_{b}+S_{c} =12} \atop {+(S_{b}-S_{c} =6})} \right. [/tex]
[tex]2S_{b} =18[/tex]
[tex]S _{b} = \frac{18}{2} [/tex]
[tex]S _{b} =9[/tex]
Finally, now that we know the speed of the boat in still water, lets replace that value in our equation (1) to find the speed of the current:
[tex]9+S_{c} =12[/tex]
[tex]S_{c} =12-9[/tex]
[tex]S_{c} =3[/tex]
We can conclude that the speed of the boath in still water is 9[tex] \frac{mi}{h} [/tex], and the current of the stream is 3[tex] \frac{mi}{h} [/tex].
The answer i need to know
Answers
.. V = lwh
.. h = V/(lw)
For this problem, we want the value of 8h, so we have
.. 8h = 8V/(lw)
.. = 8(10 2/3 ft^3)/((4 ft)(1 1/3 ft))
.. = (256/3 ft^3)/(16/3 ft^2)
.. = 16 ft
The height of the stack of bales is 16 feet.
From the set {(-2, -5), (0, 10), (5, 8), (8, -3)}, which ordered pairs are a part of the solution set for 5x + 5y > 45?
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-----------------------------------------------
Plug in (x,y) = (-2,-5)
5x + 5y > 45
5(-2) + 5(-5) > 45 ... replace x with -2; replace y with -5
-10 - 25 > 45
-35 > 45
The last inequality is false, so (-2,-5) is not in the solution set.
-----------------------------------------------
Plug in (x,y) = (0, 10)
5x + 5y > 45
5*0 + 5*10 > 45
0 + 50 > 45
50 > 45
The last inequality is true so (0,10) is in the solution set
-----------------------------------------------
Plug in (x,y) = (5,8)
5x + 5y > 45
5*5 + 5*8 > 45
25+40 > 45
65 > 45
The last inequality is true so (5,8) is in the solution set
-----------------------------------------------
Plug in (x,y) = (8,-3)
5x + 5y > 45
5*8 + 5*(-3) > 45
40 - 15 > 45
25 > 45
The last inequality is false, so (8,-3) is not in the solution set
-----------------------------------------------
Summary: The points (0, 10) and (5,8) are in the solution set
Check out the attached image to see a visual representation of this.
Notice how point B and point C are in the red shaded region.
Which represents the reflection of f(x)= square root x over the x-axis?
Answers
The firs graph attached (picture 1)
ExplanationTo reflect the function over the x-axis, you multiply the whole function by -1. So, is you want to reflect [tex]f(x)[/tex], you just need to multiply [tex]f(x)[/tex] by -1: [tex]f(x)*-1=-f(x)[/tex].
Since our function is [tex]f(x)=\sqrt{x}[/tex], we are going to multiply the whole function by -1 to the get the the graph of its reflection over the x-axis (picture 1)
Reflection of f(x) over the x-axis:
[tex]-f(x)=\sqrt{x}[/tex]
[tex]g(x)=-\sqrt{x}[/tex]
Negate the value of the y-coordinate of each point, but leave the x-value the same. Therefore, option A is the correct answer.
The given function is f(x)=√x.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, f(x)=√x
Graph using the end point and a few selected points.
(0,0), (1, 1) and (2, 1.41)
The graph for the obtained coordinate points is given below.
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Therefore, option A is the correct answer.
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the base of a right rectangular pyramid has a length of 12 centimeters, a width of 6 centimeters, and a height of 14 centimeters. Describe the cross section formed by a horizontal plane that intersects the faces of the pyramid above the base.
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A parachutist's rate during a free fall reaches
231
feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during
10
seconds of free fall? In your computations, assume that
1
meter is equal to
3.3
feet. Do not round your answers.
Answers
2. In 10 seconds, the parachutist will fall
.. (10 s)*(70 m/s) = 700 m
Answer:
700 m
( A parachutist's rate during a free fall reaches 231 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers. )