The value of the missing terms are;
1. N = 24
2. 144
3. 6
4. 1000
5. 12.75
How to determine the valueTo determine the value, we have that the proportion is determined by;
1. 4/25 = N/150
cross multiply the values, we have;
25N = 150(4)
multiply the values
25N = 600
N = 24
2. 48/75 = N/225
cross multiply the values
75N = 10800
Divide the values
N = 144
3. N/16 = 30/80
cross multiply the values
80N = 480
N = 6
4. 125/N = 2/16
cross multiply the values
2N = 2000
N = 1000
5. 2.75/11 = N/51
cross multiply the values
11N = 140.25
N = 12.75
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Select the expression that has a value of 13.
9 + 3 x (2 ÷ 3) + 6
(9 + 3) x 2 ÷ 3 + 6
9 − (3 x 2) ÷ 3 + 6
(9 + 3 x 2) ÷ 3 + 6
Answer:
9 − (3 x 2) ÷ 3 + 6 is the answer
Which of the following explains how to use partial quotients to find
832
÷
26
?
A.
Subtract
20
×
40
from 832 to get 32. Then subtract
1
×
26
from 32 to get 6.
Then add the partial quotients 20 + 1 + 6 to get 27. The quotient is 27.
B.
Subtract
30
×
25
from 832 to get 82. Then subtract
3
×
26
from 82 to get 0.
Then add the partial quotients 30 + 3 to get 33. The quotient is 33.
C.
Subtract
30
×
26
from 832 to get 52. Then subtract
2
×
26
from 52 to get 0.
Then add the partial quotients 30 + 2 to get 32. The quotient is 32.
D.
Subtract
30
×
26
from 832 to get 52. Then subtract
4
×
13
from 52 to get 0.
Then add the partial quotients 30 + 4 to get 34. The quotient is 34.
Partial quotients can be used to find 832 ÷ 26 by the explanation that follows. C. Subtract 30 × 26 from 832 to get 52. Then subtract 2 × 26 from 52 to get 0. Then add the partial quotients 30 + 2 to get 32. The quotient is 32
How to do division using partial quotientsPartial quotient is the method that is sued to solve the big division problems in mathematics. It is one that is done through the use of logic in order to get the solution
For instance
832 ÷ 26 ⇒ 30
30 * 26 = 780
832 - 780 = 52
52 ÷ 26 ⇒ 2
2 * 25 = 52
52 - 52 = 0
The quotient is gotten by adding up the values gotten during the division
= 30 + 2
= 32
32 is the quotient and option C is the correct option
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How many servings of pizza will you have if 4 pizzas are sliced into 1/6 servings?
Answer:
24 servings
Step-by-step explanation:
so if you have 4 pizzas and they are sliced into 6 pieces you multiply 4 times 6 so you get 24 servings
Answer:
24 servings. 4x6=24
Step-by-step explanation:
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
x y
-2 -8
-1 -4
1 4
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
Use the equation p=6k+12 to find the value of p when k=9.
Answer:
66
Step-by-step explanation:
when you plug in 9 for k. you do 6(9) which is 54. then add 12 to 54 and thats ur answer, 66.
collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community
The observation table in Annexure A records the minimum and maximum temperature in a community for 30 days.
To collect data on the observation table in Annexure A for 30 days of minimum and maximum temperature in your community, follow these steps:
Obtain a reliable source for temperature data: You can use local weather stations, online weather platforms, or mobile apps that provide accurate and up-to-date temperature information for your community.
Prepare the observation table:
Create a table in Annexure A with columns for Date, Minimum Temperature, and Maximum Temperature.
Make sure there are 30 rows for each day of observation.
Record daily temperatures:
For each day, note down the date and the minimum and maximum temperatures in their respective columns.
Be consistent with the time of day you record these temperatures, ideally early morning for the minimum and late afternoon for the maximum.
Repeat the process:
Continue recording daily temperatures for a total of 30 days.
Review and analyze the data:
Once the 30-day period is complete, you can analyze the data to observe trends or patterns in temperature variation.
Remember to be consistent in your data collection to ensure accurate and reliable results.
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A 1 liter bottle of Mexican wine costs 100 pesos. At that price, how much would a
gallon jug of wine cost in US dollars? Round to two decimal places. SHOW ALL
WORK. (In other words, what is the price in dollars per gallon.)
Is it true that x= -5 ? -2(-4x-1)-x+3=−30 Justify your answer.
Answer:
Step-by-step explanation:
here you go mate
step 1
-2(-4x-1)-x+3=−30 equation/Question
step 2
-2(-4x-1)-x+3=−30 distribute
7x+5=-30
step 3
7x+5=-30 subtract 5
7x=-35
step 4
\(\frac{7x}{7} =\frac{-35}{7}\) divide
answer
x=-5
Answer:
-2(-4x-1)-x+3=-30
8x+2-x+3=-30
7x+5=-30
7x=-30-5
7x=-35
x=-35÷7
x=-5
For which of the following is x=-5 a solution? Select all that apply.
A) x+10=-5
B) -x^2+50=25
C) |2x|=10
D) x<0
E) 2x<10
Answer:
B
D
E
\(b. - ( - 5)^{2} + 50 = 25 \\ \\ d. \: - 5 < 0 \\ \\ e. \: 2( - 5) < 10\)
Answer:
B and C
Step-by-step explanation:
Those 2 are the only ones that equal 5,-5
Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
A) Vertex (2,1), minimum
B) Vertex (1,2), maximum
C) Vertex (2,1), maximum
D) Vertex (1,2), minimum
Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a maximum value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at \(y=2\). Going down two units from that spot, we can see that the x value is at \(x=1\). We can plug those into the vertex form, \((x,y)\). By plugging in we get the point \((1,2)\).
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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find the measure of interior angle of a regular 15-gon
A. 158.8
B. 169
C. 156
D. 150
Answer:
c.155 the answer is C. 156
Use the Distributive Property to
REWRITE 2/3(x - 9)
Answer:
2/3x-6
Step-by-step explanation:
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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Find the value of 4x +3 given that 7x+9=2.
Answer:
-1
Step-by-step explanation:
First 7x+9=2
We solve for x in this equation
7x=2-9
7x= -7
x= -7/7= -1
Then x= -1, we substitute for x in this equation 4x+3
4(-1)+3= -4+3= -1
how would i anwser this? help pls!
Answer:
Step-by-step explanation:
To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.
For example:
y=-2/3(-6)=7
-2/3x6=-4
-4+7=3
(-6,3)
You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.
To get the x value, you need to fill in the y in the equation y=-2/3x+7
for example:
5=-2/3x+7
-2=-2/3x
3=x
(3,5)
y=-2/3x+7
y=-2/3(15)+7
y=-10+7
y=-3
(15,-3)
y=-2/3x+7
15=-2/3x+7
8=-2/3x
-12=x
(-12,15)
A right rectangular prison is shown with some measurements given in units. The length of the diagonal from point A to point B is 13 units. What is the height, h, of the prison in units?
The required value of h, representing the height of the three-dimensional rectangle, is 12.
The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:
h² = d² - x² - y²
Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:
h² = 13² - 3² - 4²
h² = 169 - 9 - 16
h² = 144
Taking the square root of both sides, we find:
h = 12
Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.
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twelve increased by a number
Answer:
12+# OR 12+x
Step-by-step explanation:
Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.
What is the next pattern ?
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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Find the approximate area of the shaded region. Use 3.14 for pi
The area of the shaded region of the rectangle is approximately 573.92 square feet.
What is the area of the shaded region?The figure in the image is that of a rectangle with a semi-circle inscribed in it.
The area of rectangle is expressed as:
Area = Length × Width
The area of semi-circle is expressed as:
Area = 1/2 × πr²
To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.
Area of shaded region = area of rectangle - area of semi-circle
Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )
From the image:
Length = 40 ft
Width = 20 ft
Radius r = 12 ft
Plug the values into the above formula:
Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )
Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )
Area of shaded region = ( 800 ) - ( 226.08 )
Area of shaded region = 573.92 ft²
Therefore, the area is approximately 573.92 square feet.
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There are 1,000 grams in 1 kilogram. Nate is mailing a package that has a mass of 8,000 grams.
He wants to know the mass of the package in kilograms.
1.000
8,000
12,000
grams
kilograms
0
1
12
Multiply or divide?
What is the unit rate. ?
I give brainless!!!!!!!!
Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.
Have a Merry Christmas!
6(31)+6(4)-6(15) mental math form
\(6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120\)
ok done. Thank to me :>
If f(x) = 5x + 40, what is f(x) when x = -5?
+
Answer:
15
Step-by-step explanation:
When you are evaluating a function for a particular value of the variable, put that value everywhere you see the variable. Then simplify.
f(x) = 5x +40
When x = -5, this becomes ...
f(-5) = 5(-5) +40 = -25 +40
f(-5) = 15
Which graph shows an image and preimage after reflecting across y = -x ? *
Option 1
Option 2
Option 3
Option 4
The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.
Which answer choice represents an image and pre-image after a reflection across y = -x?It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.
First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.
On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.
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The short leg of a 90-45-45 triangle is 5. What is the long leg and the hypotenuse?
The long leg and the hypotenuse of the isosceles right triangle will be 7.07 units.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The short leg of a 90-45-45 triangle is 5.
The right triangle is an isosceles right triangle. Then the two side will be same.
Then the long leg and the hypotenuse will be
H² = 5² + 5²
H² = 25 + 25
H² = 50
H = 7.07 units
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Which expressions are equivalent to the expression 30x^2-5x-10
if S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
You can try to show this by induction:
• According to the given closed form, we have \(S_1=3\times2^{1-1}+2(-1)^1=3-2=1\), which agrees with the initial value S₁ = 1.
• Assume the closed form is correct for all n up to n = k. In particular, we assume
\(S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}\)
and
\(S_k=3\times2^{k-1}+2(-1)^k\)
We want to then use this assumption to show the closed form is correct for n = k + 1, or
\(S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}\)
From the given recurrence, we know
\(S_{k+1}=S_k+2S_{k-1}\)
so that
\(S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)\)
\(S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}\)
\(S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)\)
\(S_{k+1}=3\times2^k-2(-1)^k\)
\(S_{k+1}=3\times2^k+2(-1)(-1)^k\)
\(\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}\)
which is what we needed. QED
Y=2x 2 -6x find the value
Answer:
Y=-4x 2
Step-by-step explanation: