Answer:
6x
Step-by-step explanation:
x + x + x + 2x + x
Simplify the equation
4x + 2x
6x
Hope this was useful to you!
Katrine drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a
There are 15 cups na gallion
Submit
Question:
Katrina drinks 0.5 gallons of water per day. Which expression shows how to find the number of cups of water she drinks in a week?
There are 15 cups in a gallon
Answer:
The expression to find the number of cups of water she drinks in a week is:
[tex]\frac{15\ cups}{1\ gallon} \times \frac{0.5\ gallons}{1\ day} \times \frac{7\ days}{1\ week}[/tex]
Solution:
Given that,
1 gallon = 15 cups
[tex]\frac{15\ cups}{1\ gallon}[/tex]
Katrina drinks 0.5 gallons of water per day
1 day = 0.5 gallons
[tex]\frac{0.5\ gallons}{1\ day}[/tex]
Find the number of cups of water she drinks in a week
1 week = 7 days
[tex]\frac{7\ days}{1\ week}[/tex]
Thus the expression to find the number of cups of water she drinks in a week is:
[tex]\frac{15\ cups}{1\ gallon} \times \frac{0.5\ gallons}{1\ day} \times \frac{7\ days}{1\ week}[/tex]
help me with 15-28 please
Answer:
the correct answer for 28 is 5*b
5b
12-4x-x=2 what is the Answers to this
Answer:
x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
12-4x-x=2
Combine like terms
12 -5x =2
Subtract 12 from each side
12-5x-12 =2-12
-5x = -10
Divide each side by -5
-5x/-5 = -10/-5
x =2
What is the slope of the line that passes through the points (−9,8) (-9, 8) (−9,8) and (−21,10)? (-21, 10) ?(−21,10)? Write your answer in simplest form.
Answer:
-1/6
Step-by-step explanation:
(−9,8) and (−21,10)
−21−(−9)
10−8
Plug in.
−21+9
10−8
The negative of a negative is a positive.
−12
2
Add/Subtract.
−
6
1
A positive divided by a negative is a negative.Cancel the common factor of 2.
Final answer:
The slope of the line that passes through the points (-9, 8) and (-21, 10) is calculated using the slope formula and is -1/6.
Explanation:
The slope of a line that passes through two points (x1, y1) and (x2, y2) is calculated using the formula:
slope (m) = (y2 - y1) / (x2 - x1).
For the points (−9, 8) and (−21, 10), the slope can be calculated as follows:
m = (10 - 8) / (−21 - (−9))
m = 2 / (−12)
m = −1/6 (which is the slope in simplest form).
Therefore, the slope of the line that passes through the points (−9, 8) and (−21, 10) is −1/6.
Which invention made the rise of the personal computer possible?
O
A. Cellular telephones
O
B. DVRs
O
c. Microchips
O
D. Vacuum tubes
The invention that made the rise of the personal computer possible is the microchip (option C).
Who invents the computer?The computer, as we know it today, is the result of a series of innovations and contributions by many people over several decades. It is difficult to attribute its invention to a single person. Charles Babbage - an English mathematician and inventor who designed the first mechanical computer, the Difference Engine, in the early 19th century.
Here,
The invention that made the rise of the personal computer possible is microchips (option C). Microchips, also known as integrated circuits, are tiny electronic circuits consisting of miniaturized transistors and other components on a small silicon wafer. Microchips allowed the production of smaller, faster, and more powerful computers, making it possible for personal computers to becoming widely available and affordable. While cellular telephones and DVRs have had their own impact on technology, they did not play a significant role in the development of personal computers. Vacuum tubes, on the other hand, were used in the earliest electronic computers but were eventually replaced by transistors and then microchips.
Thus, the invention that made the rise of the personal computer possible is the microchip (option C).
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If you roll a die once, what is the probability
of not rolling an odd number? Write your
answer as a fraction.
The probability of not getting a odd number is 1/2
Answer:
1/2
Step-by-step explanation:
Ur chances are 1 out of 2 bc there are even and there are odd numbers.
Hope this helps!
What is the correct word form of 5.08
Answer:
five and eight hundredths
Step-by-step explanation:
I was taught to reserve the word "and" to mark the decimal point when the number has a fraction. The integer part is "five." The fractional part is "eight hundredths." Together, the word form might be ...
five and eight hundredths.
__
If I were reading this to someone, including myself, I might say it as ...
"five point oh eight".
_____
Comment on ambiguity
The reason for being particular about marking the decimal point is so you don't get into trouble with something like ...
1000.13 . . . . . one-thousand and thirteen hundredths
which is different from ...
1013/100 . . . . one-thousand thirteen hundredths
Some folks will pronounce 1013 as "one-thousand and thirteen." Doing so will get you in trouble in the above situation, where you have 1013/100.
Final answer:
The correct word form of 5.08 is explained as five and eight hundredths.
Explanation:
The correct word form of 5.08 is five and eight hundredths. When writing decimal numbers in words, the digit to the right of the decimal point is read as a whole number followed by the place value of the digit to the right.
In this case, 5.08 is read as five and eight hundredths.
steve deposits $1250 in an account paying 3.4% annual interest compounded continously. how long will it take for the account balance to reach $3150.50
Answer:
It will take 27.19 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex] , where
A = the future value of the investment, including interest P = the principal investment amount (the initial amount) r = the interest rate of interest in decimalt = the time the money is invested for∵ Steve deposits $1250 in an account
∴ P = 1250
∵ The account paying 3.4% annual interest compounded continuously
∴ r = 3.4%
- Change it to decimal by dividing it by 100
∴ r = 3.4 ÷ 100 = 0.034
∵ The account balance will reach to $3150.5
∴ A = 3150.5
- Substitute The values of A, P and r in the formula above to find t
∵ [tex]3150.5=1250e^{0.034t}[/tex]
- Divide both sides by 1250
∴ [tex]2.5204=e^{0.034t}[/tex]
- Insert ㏑ to both sides
∴ [tex]ln(2.5204)=ln[e^{0.034t}][/tex]
- Remember that [tex]ln(e^{n})=n[/tex]
∵ [tex]ln(e^{0.034t})=0.034t[/tex]
∴ ln(2.5204) = 0.034t
- Divide both sides by 0.034
∴ 27.18875 = t
∴ t ≅ 27.19
It will take 27.19 years
Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de viaje le faltaría cuatro pesos pero si cada uno de ellos hicieron una contribución de seis pesos obtendría seis pesos más de lo que necesitan ¿cuánto debería consumir cada alumno para obtener la cantidad exacta del viaje?
Answer:
$14.8
Step-by-step explanation:
There is a mistype in the question. It should say: ... si cada uno de ellos hicieron una contribución de dieciseis pesos...
So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:
14*x = y - 4 (eq. 1)
In the other scenario, everybody contributes $16 and $6 are in excess, so
16*x = y + 6 (eq. 2)
subtracting eq. 1 to eq. 2:
16*x - 14*x = y + 6 - (y - 4)
2*x = y + 6 - y + 4
2*x = 10
x = 10/2 = 5
Replacing this value in eq. 1:
14*5 = y - 4
70 + 4 = y
y = $74
If every student pays: 74/5 = $14.8, then they would get altogether the exact cost of the trip
Need help ASAP! Fairly easy! Just tell me what to drag into the box!
Answer:
4x / 4 ≤ 25 / 4
x ≤ 6.25
For the first box: 0, 5.25, 3, 6 1/4
5x + 6 - 6 > 21 - 6
5x / 5 > 15 / 5
x > 3
For the second box: 7 3/4, 20, 5.25, 6 1/4
Answer:
Left side: 0, 5.25, 3, 6 1/4
Right side: 7 3/4, 20, 5.25, 6 1/4
Step-by-step explanation:
Plugging everything in should be true to both inequalities.
The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour. Suppose one battery will be selected at random. Which of the following is closest to the probability that the selected battery will have a life span of at most 2.1 hours?
Answer:
0.0548
Step-by-step explanation:
The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour.
To find the the probability that a selected battery will have a life span of at most 2.1 hours, we need to first determine the z-score for x=2.1 hours using
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
We substitute the values to get:
[tex]z = \frac{2.1 - 2.5}{0.25} = - 1.6[/tex]
We read read -1.6 from the standard normal distribution table to get:
P(X≤2.1)=0.0548
The probability that the selected battery will have a life span of at most 2.1 hours is 0.0548.
Given information:
The life span of a battery is the amount of time the battery will last.
The distribution of life span for a certain type of battery is approximately normal with a mean of 2.5 hours and a standard deviation of 0.25 hours.
The z-value for the probability that the selected battery will have a life span of at most 2.1 hours will be calculated as,
[tex]z=\dfrac{x-\mu}{\sigma}\\z=\dfrac{2.1-2.5}{0.25}\\z=-1.6[/tex]
Now, use the standard normal distribution table or curve to get the value of required probability as,
[tex]P(x=2.1)=0.0548[/tex]
Therefore, the probability that the selected battery will have a life span of at most 2.1 hours is 0.0548.
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4. Plant A is 18 inches tall after one week, 36 inches tall after two weeks.
56 inches tall after three weeks. Plant Bis 18 inches tall after one week,
36 inches tall after two weeks, 54 inches tall after three weeks. Which
situation represents a proportional relationship between the plants
height and number of weeks? Some
Rena wrote all the integers from 1 to 12.
How many digits did she write?
The total number of digits used to write all the integers from 1 to 12 are 15.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Given that, Rena wrote all the integers from 1 to 12.
So, the integers from 1 to 12 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Here, 1 to 9 are single digits
10, 11 and 12 has two digits
Thus total number of digits = 9×1+3×2
= 9+6
= 15
Therefore, the total number of digits are 15.
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The total number of digits Rena wrote is:
[tex]\[\boxed{15}\][/tex]
To find the total number of digits Rena wrote when she wrote all the integers from 1 to 12, we need to consider each range of numbers separately based on their digit counts.
1. Single-digit numbers (1 to 9):
- There are 9 single-digit numbers.
- Each single-digit number contributes 1 digit.
- Total digits from 1 to 9:
[tex]\[ 9 \times 1 = 9 \][/tex]
2. Two-digit numbers (10 to 12):
- There are 3 two-digit numbers: 10, 11, and 12.
- Each two-digit number contributes 2 digits.
- Total digits from 10 to 12:
[tex]\[ 3 \times 2 = 6 \][/tex]
Adding the digits from both ranges gives us the total number of digits:
[tex]\[9 + 6 = 15\][/tex]
Thus, the total number of digits Rena wrote is:
[tex]\[\boxed{15}\][/tex]
In the accompanying diagram, A'B'C' is the image of ABC.
What type of transformation is shown?
A) dilation
B) reflection
C) translation
D) rotation
Answer:
B) Reflection
Step-by-step explanation:
The two figures mirror each other.
Calculaye the perimeter and area of these composite shapes
For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:
[tex]14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64[/tex]
Thus, the perimeter of the figure is 64 centimeters.
Now, we find the area of the figure:
We have that by definition, the area of a rectangle is given by:
[tex]A = a * b[/tex]
Where:
a and b are the sides of the rectangle
We have 4 vertical rectangles from left to right:
[tex]A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2[/tex]
Thus, the total area is[tex]A_ {t} = 156 \ cm ^ 2[/tex]
Answer:
The perimeter of the figure is 64 centimeters.
[tex]A_ {t} = 156 \ cm ^ 2[/tex]
jack held a balloon 8 feet off the ground, straight above his head. Jill is standing 15 feet directly to the right of Jack.
a.) Write an equation using the Pythagorean Theorem to find the value of x. (You can use the equation tool or use the ^2 combination to indicate squared like x^2 is x2.)
How far are Jill's feet from the balloon?
Explain how you came to your solution.
40points
Answer:
Jill's feet are 17 feet from the balloon.
Step-by-step explanation:
The situation is sketched in the figure attached.
The from the ground to the balloon, the distance from Jack to Jill, and the distance from the balloon to Jill's feet forms a right triangle.
The Pythagorean Theorem says the sum of the squares of the sides of the right triangle is equal to the square of its hypotenuse [tex]x[/tex]:
[tex](8ft)^2+ (15ft)^2 = x^2[/tex]
simplifying we get
[tex]64ft^2+225ft^2=x^2[/tex]
[tex]289ft^2= x^2[/tex],
and take the square root of both sides to get:
[tex]x = \sqrt{289ft^2}[/tex]
[tex]\boxed{x = 17ft.}[/tex]
Thus, Jill's feet are 17 feet from the balloon.
Jordan signed a rental agreement for her condo. After she moved out, the
owner determined that the condo needed to be cleaned, the cost of which
totaled $250. How much of the deposit can Jordan expect back? (To view the
contract, click here.)
O A. $700
O B. $950
O C. $750
O D. $500
Answer:
D. $500
Step-by-step explanation:
Answer:
Step-by-step explanation:
$500
a chef bought 3 bags of beans. Each bag contains 1 2/5 kilogram of beans. How many kilograms of beans did she buy?
Answer:
1.2
Step-by-step explanation:
He bought= 3 bags
Kg of one bag=1⅖
3×1⅖=1.2 kg
She bought 1.2 kg of beans..
The number of kilograms of beans did she buy will be 4.20 kilograms.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A chef bought 3 bags of beans. Each bag contains 1 ²/₅ kilogram of beans.
Convert the mixed fraction number into a fraction number. Then we have
1 ²/₅ = 1 + 2/5
1 ²/₅ = (5 + 2) / 5
1 ²/₅ = 7/5
The number of kilograms of beans did she buy will be given as,
⇒ 3 x 7 / 5
⇒ 21 / 5
⇒ 4.20 kilograms
The number of kilograms of beans did she buy will be 4.20 kilograms.
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A house is about _____ long. 30 yards 30 miles 30 centimeters 30 inches
What is the value of log subscript 4 Baseline 16?
Answer:
2
Step-by-step explanation:
log4(16)
Rewrite 16 as a power of 4
16 =4^2
log 4(4^2)
We know that log a (b^c) = c log a (b)
2 log 4(4)
We also know that loga (a) =1
2 *1
2
Answer:
The answer is B. 2 on ed.
Step-by-step explanation:
127/n=635 what is the value of n?
Answer:
n = 1/5 or 0.2
Step-by-step explanation:
Given
127/n = 635
Cross multiply
127 = n x 635
Divide both sides by 635
127/635 = n x 635/635
Divide both the numerator and denominator by 127.
We have
1/5 = n
n = 1/5 or
n = 0.2
viviana wants to wrap a gift in a box that is 5 inches by 3 inches how much wrapping paper will she need? assume that the paper does not overlap
Answer: multiply it
Step-by-step explanation:
14. Geology To measure the height of a rock formation, a surveyor places her transit
100 m from its base and focuses the transit on the top of the formation. The angle of
elevation is 67. The transit is 1.5 m above the ground. What is the height of the rock!
formation? Round to the nearest meter.
Answer:
237.09m
Step-by-step explanation:
Let's use the tan rule to find the length of the adjacent side.
Tan rule is given as
[tex]Tan \theta=\frac{Opposite \ side}{Adjacent \ side}\\[/tex]
[tex]\theta[/tex]=67° , and Adjacent length is given as 100m.
We therefore need to find the length of the adjacent side.
[tex]Tan\theta=\frac{X}{100}\\Tan 67\textdegree=\frac{X}{100}\\X=Tan \ 67\textdegree \times 100\\X=235.58m[/tex]
To find height of the rock, we add X value to transit height=[tex]235.58+1.5=237.09m[/tex]
*See pic for graphic illustration
The height of the rock formation is approximately [tex]230\ meters[/tex].
Given:
[tex]\text{Distance from the base of the rock formation to the transit, d = 100\ m}[/tex]
[tex]\text{Angle of elevation, \( \theta = 67^\circ \)}[/tex]
[tex]\text{Height of the transit above the ground, \( h = 1.5 \) m}[/tex]
Let [tex]\( H \)[/tex] denote the height of the rock formation.
First, we need to find the vertical distance from the transit to the top of the rock formation using the tangent function:
[tex]\[ \tan(\theta) = \frac{H - h}{d} \][/tex]
Substitute the given values:
[tex]\[ \tan(67^\circ) = \frac{H - 1.5}{100} \][/tex]
Calculate [tex]\( \tan(67^\circ) \)[/tex]
[tex]\[ \tan(67^\circ) = 2.281 \][/tex]
Now, solve for [tex]\( H -1.5 \)[/tex]
[tex]\[ 2.281 = \frac{H - 1.5}{100} \][/tex]
Multiply both sides by [tex]100[/tex] to solve for [tex]\( H -1.5 \)[/tex]
[tex]\[ 2.281 \times 100 = H - 1.5 \][/tex]
[tex]\[ 228.1 = H - 1.5 \][/tex]
Add 1.5 to both sides to solve for [tex]\( H \)[/tex]
[tex]\[ H = 228.1 + 1.5 \][/tex]
[tex]\[ H = 229.6 \][/tex]
[tex]\[ H = 230\ m \][/tex] (Round to the nearest meter)
A 110 point final exam is
made up of 50 questions.
Some questions are worth 2
points and some are worth
4 points. How many of
each type of question are
on the test?
Answer: The two point questions are 45, while the four point questions are 5.
Step-by-step explanation: We shall start by assigning letters to the unknown variables. Let the first type of question be called a and the second type of question be called b.
If the final exam is made up of 50 questions, that means
a + b = 50
Also if some questions are two points while others are four points and the total score for all of them is 110 points, then
2a + 4b = 110
(That is, we assume that a is the two point question and b is the four point question, so total score equals 110)
We now have a pair of simultaneous equations
a + b = 50 ————(1)
2a + 4b = 110 ——-(2)
From equation (1), we shall make a the subject of the equation,
hence let a = 50 - b
Substitute for the value of a in equation (2)
2a + 4b = 110
2(50 - b) + 4b = 110
100 - 2b + 4b = 110
By collecting like terms we now have
4b - 2b = 110 - 100
2b = 10
Divide both sides of the equation by 2
b = 5
Now substitute for the value of b into equation (1)
a + b = 50
a + 5 = 50
Subtract 5 from both sides of the equation
a = 45.
Therefore the two point questions are 45, while the four point questions are 5
**A quick check would show the following results ; 2(45) + 4(5) = 90 + 20 = 110.**
There are 45 questions worth 2 points each and 5 questions worth 4 points each on the 110-point final exam consisting of 50 questions.
Let's call the number of 2-point questions "x" and the number of 4-point questions "y." We can set up a system of equations to represent the information given:
1. The total number of questions is 50:
x + y = 50
2. The total number of points is 110:
2x + 4y = 110
Now we have a system of two equations with two variables:
1. x + y = 50
2. 2x + 4y = 110
We can solve this system of equations using either the substitution method or the elimination method. Let's use the elimination method:
First, let's multiply the first equation by 2 to make it easier to eliminate x:
1. 2(x + y) = 2(50)
2x + 2y = 100
Now we have the following system of equations:
1. 2x + 2y = 100
2. 2x + 4y = 110
Now, subtract the first equation from the second equation to eliminate x:
(2x + 4y) - (2x + 2y) = 110 - 100
This simplifies to:
2y = 10
Now, divide both sides by 2 to solve for y:
2y/2 = 10/2
y = 5
So, there are 5 questions worth 4 points each (4-point questions), and we can find the number of 2-point questions by substituting the value of y back into one of the original equations (e.g., the first equation):
x + 5 = 50
Now, subtract 5 from both sides to solve for x:
x = 50 - 5
x = 45
So, there are 45 questions worth 2 points each (2-point questions).
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please help me asap!!
i’ll give you 40 points extra !!
Answer:
Step-by-step explanation:
Area = Length* height
= 4w³ * (5w² - 3w - 4)
= 4w³*5w² - 4w³*3w - 4w³*4
= 20w⁵ - 12w⁴ - 16w³
Solve 3x - 9x + 7 - 3 = -8.
a. 6
b. -6
c. 2
d. -2
Answer: C. 2
Step-by-step explanation:
1. combine like terms
-6x + 4 = -8
2. Make x be by itself by subtracting -4 by both sides of the equal sign
-6x = -12
3. Divide both sides by -6, then negatives will cancel out
x= 2
(hope this helped)
Answer:
c. 2
Step-by-step explanation:
simplify:
3x-9x+7-3 = -8
-6x+4 = -8
Subtract 4 from both sides:
-6x = -8 - 4
-6x = -12
Divide both sides by -6:
x = -12/ -6
Answer
x= 2
A rectangle has a length of 7 units and a width of 4 units. One vertex of the rectangle is (0,0).
Use the segment tool to create a rectangle matching its description
The rectangle with a length of 7 units and a width of 4 units, and with one vertex at the origin (0,0), has been successfully created using the segment tool.
Open the drawing tool or any software that allows you to draw shapes and use the segment tool to begin the construction.
First, mark the origin (0,0) on the canvas as one of the vertices of the rectangle.
Now, move the cursor 7 units to the right from the origin along the x-axis and place a point. This point represents the opposite vertex of the rectangle on the right side.
Next, move the cursor 4 units up from the origin along the y-axis and place another point. This point represents the opposite vertex of the rectangle on the top side.
To complete the rectangle, draw straight lines connecting the following points: (0,0) with (7,0), (7,0) with (7,4), (7,4) with (0,4), and finally, (0,4) back to (0,0).
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What is the perimeter of this figure
Answer:
100mm
Step-by-step explanation:
Perimeter is the size of the outer part of the figure. And in this figure, we have a triangle and a semicircle joined together.
Formulae for finding the perimeter of a circle is 2πr, and since it's a semicircle, we divide the answer by 2. Where π is 3.14
2(3.14)(16)/2
50.24
Adding the other parts
50.24+40
90.24
Rounding up to the nearest hundred, we have the number between 0 and 100. 90 is closer to 100 than 0.
Hence, the answer is 100
what is the volume of a cube with sides 8.1
Answer:
531.441
Step-by-step explanation:
8.1*8.1*8.1 = Volume of a cube
Please HELP !
Scientists studying a spine-tail swift found that it flew 60 miles in 40 minutes. What is it's average speed in mph?
Answer: 90 mph
Step-by-step explanation:
so if 60 miles in 40 minutes have of 40 is 20 and 40 +20 = 60
so half of 60 is 30. so therefore 90 miles is 60 mins.
Answer:
to be honest i dont know but i think it is 2400
Step-by-step explanation:
you need to do miles x mins i think i dont knoe try ask your family members