Answer:
552.8
Step-by-step explanation:
16584/8=2073
2073*0.8=1658.4
1658.4*8=13267.2
13267.2/24=552.8
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The solution of the equation ( x - 7 ) × 2 = 36 is x = 25
The equation is
( x - 7 ) × 2 = 36
To solve this equation we have to rearrange the terms and do the arithmetic operations
The arithmetic operation is a branch of mathematics. The basic arithmetic operations are addition, subtraction, division and multiplication.
Move the 2 to the right hand side of the equation
x - 7 = 36 / 2
Divide the term
x - 7 = 18
Move the 7 to the right hand side of the equation
x = 18 + 7
Add the term
x = 25
Hence, the solution of the equation ( x - 7 ) × 2 = 36 is x = 25
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Write as a monomial in standard form.
The expression will be written in monomial standard form as -64x⁶a³.
A monomial may be defined as an expression which consists of only one term. If we are to write an expression in monomial standard form, then we will have to form an expression consisting of numbers and variable along with their powers. The variable containing the maximum power will be written first and so on. In the question we have to write monomial standard form of third power of (-4ax³). This can be written as
(-4ax³)³ and on further expanding
-64a³x⁶, but in standard from we write the variable having maximum power first, so we rearrange the terms, and we get
-64x⁶a³ which is the required answer.
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What is transitive property/
If a $500 deposit earns 4.25% interest compounded monthly, how much will be in the account at the end of 3 years? round your answer to the nearest cent.
Based on the amount invested, and the interest, the amount after 3 years would be $567.86
The interest is compounded monthly so you must convert it to a monthly rate:
= 4.25% / 12 months
= 4.25/12%
Number of periods:
= 3 years x 12 months
= 36 months
The future value of this amount is:
= Amount x ( 1 + rate) ^ number of periods
= 500 x ( 1 + 4.25/12%)³⁶
= $567.86
In conclusion, the amount would be $567.86
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Plsss help asap plssss
Answer:
D)
Step-by-step explanation:
Alternate interior angles: Alternate interior angles are formed inside the two parallel lines, when intersected by transversal and are equal to its alternate pairs.
AB // CD, BC is transversal
∠2 = ∠4 {Alternate interior angles}
∠2 = 35
Your distance from lightning varies directly with
the time it takes you to hear thunder. If you
hear thunder 10 seconds after you see lightning,
you are about 2 miles from the lightning.
Estimate how many seconds it would take for
the thunder to travel a distance of 5 miles.?
The time taken by thunder to travel a distance of 5 miles is 25 seconds.
Which is the direct variation?A direct variation, as well known as a direct proportion, is a relationship that exists between two variables.Your distance from lightning differs directly with duration it takes you to hear thunder. If you hear thunder 10 seconds upon seeing lightning, you are approximately 2 miles away.Let d denote the distance and t the time.
Distance varies linearly with time, implying that distance is proportional to time.
Distance ∝ Time
d ∝ t
When the proportionality symbol is removed;
d = kt or k = d/t
Where k is the constant of proportionality.
In the equation, d = 2 and t = 10 are substituted.
k = 2/10 = 1/5
Therefore,
The following is a direct variation formula for the correlation between time and distance: d = (1/5)t
Now, for the distance of 5 miles, the time taken by the thunder is-
5 = (1/5)t
t = 5 × 5
t = 25 seconds.
Thus, the time taken by thunder to travel a distance of 5 miles is 25 seconds.
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After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share?
Answer:
$540 is the original price of the share.
Step-by-step explanation:
Original price = final price ÷ (1 - percentage (in decimal form))
Original price = $324 ÷ (1 - 0.40)
Original price = $324 ÷ 0.6
Original price = $540
write a recursive formula:
7, 10, 13, 16
write an explicit formula:
-8, -13, -18, -23
The recursive formula of the sequence 7, 10, 13, 16 is [tex]a_n = a_{n-1} + 3[/tex].
The explicit formula of the sequence -8, -13, -18, -23 is a(n) = -8 + (n-1)(-5).
What is recursive formula?
A recursive formula is one that defines each term in a sequence by reference to the one before it (s). The following parameters are defined using the recursive formulas:
The opening phrase of the seriesThe formula to calculate any phrase from its previous termIn order to find the recursive formula we first need to calculate the difference between each term. So,
Second term - First term = 10 - 7 = 3
Therefore the recursive formula is [tex]a_n = a_{n-1} + 3[/tex]
In order to find the explicit formula we first need to calculate the difference between each term. So,
Second term - First term = -13 - (-8) = -5
Therefore the explicit formula is a(n) = -8 + (n-1)(-5).
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10. The cost of one movie ticket for an adult is 1.6 times the cost of a ticket for a child. If a equals the cost of one adult ticket and c equals the cost of one child ticket, which equation represents the relationship between a and c? A. c= 1.62B. 1.6 =a -cC. a = 1.6cD 1.6 =a + c
1) Gathering the data
a =adult ticket
c= 1 child ticket
2) According to the question, we can write:
a=1.6c
Note that the ticket for the adults is more expensive than for kids. So we can state this about both prices of tickets
a =1.6c
Simplify fully 2(m+11)/10m
On simplifying the given equation, the result would be: 1/5 + 11/5m
How to simplify expressions?The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.
The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.
Let's review a few key words that are utilized while simplifying an expression:
In an algebraic expression, a variable is a letter whose value is unknowable.
A numerical value used in conjunction with a variable is the coefficient.
A phrase with a known value is referred to as a constant.
Similar letter and power variables are referred to as like words. Sometimes various coefficients might be found between like terms. For instance, the phrases 6x2 and 5x2 are comparable because they both have variables with exponents of 2. Similar to this, 7yx and 5xz are dissimilar concepts because they each have unique variables.
The fundamental guidelines and procedures to simplify any algebraic statement are as follows:
-By multiplying factors, remove any grouping symbols like brackets and parenthesis.
-If the terms contain exponents, use the exponent rule to eliminate grouping.
-Add or subtract like terms to combine them.
Add the constants together.
As per the question:
2(m+11)/10m =(m+11)/5m
=1/5 + 11/5m
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i need help show your work
Answer:
C 11
Step-by-step explanation:
1.work out the value of x from the given equation
[tex]5x = 10 - 6[/tex]
[tex]5x = 4[/tex]
[tex]x = \frac{4}{5} [/tex]
2. use this x value and substitute it into the other equation to determine your answer
[tex]10( \frac{4}{5} ) + 3[/tex]
[tex]answer = 11[/tex]
2(8-2x)+2(4-2x)=18 what is x?
Answer:
x=3/4
Step-by-step explanation:
Answer: x = 3/4
Step-by-step explanation:
2(8 - 2x) + 2(4 - 2x) = 18
2(-2 x 8) + 2(4 - 2x) = 18
-4x + 16 + 2(4 - 2x) = 18
-4x + 16 + 2(2x + 4) = 18
-4x + 16 - 4x + 8 = 18
-4x + 24 - 4x = 18
-8x + 24 = 18
-8x + 24 - 24 = 18 - 24
-8x = -6
-8x/-8 = -6/-8
x = 3/4
When given a sample set with a variance of n (a number), how would you estimate the range?
Simply subtract the lowest value from the highest value in the data set to determine the range.
Find the biggest observed value of a variable (the maximum) and subtract the smallest observed value to determine the range (the minimum). The data points between the distribution's two extremes are not taken into account by the range; just these two values are.
Because of its sensitivity to extreme values, it is frequently employed as a supplement to other measures of dispersion rather than as the single measure.
To help find the quartiles for bigger data sets, you can utilise the cumulative relative frequency distribution or, even better, the fundamental statistics algorithms found in spreadsheets or statistical applications that provide results more quickly.
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Find the Area of the irregular polygon
Answer: 242 square ft
Step-by-step explanation:
Divide the polygon into 2 pieces so you have 2 rectangles. Then find the area of both rectangles.
what is the domain of f?
Answer:
x ∈ {-8, 0, 2, 4, 7}Step-by-step explanation:
The domain is the set of x-coordinates.
The domain of the function f(x) is:
x ∈ {-8, 0, 2, 4, 7}professor jones is interested in the effects of eating chocolate on test performance. he randomly assigns students to either an experimental group or a control group. he gives chocolate to the students in the experimental group and nothing to the students in the control group prior to passing out the exam. after scoring all the tests, he found that the students in the experimental group scored on average ten points higher than the students in the control group. in this experiment what is the independent variable?
In the given experiment x is the independent variable.
Given that, professor Jones found that the students in the experimental group scored on average 10 points higher than the students in the control group.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the average score of control group be x and the average score of experimental group be y.
Now, y=x+10
Therefore, in the given experiment x is the independent variable.
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Write an equation in standard form for the line that passes through the given points
(7,0) and (0, -4)
Answer:
y = 0.57143x - 4
Step-by-step explanation:
Jared is trying to save up to buy a car. He has already saved
$400. He makes $20 an hour (h) at his job. Jared needs to
have $1200 or more in order to buy the car he wants.
Write an inequality to represent the number of hours Jared
will have to work in order to save enough money to buy the
car.
Select one:
O 20h + 1200 ≤ 400
O 1200h + 400 > 20
O 400h+20 > 1200
O 20h-400 ≥ 1200
O 20h + 400 > 1200
O 400h+20 > 1200
Answer:
20h+400>=1200
Step-by-step explanation:
400 is the money Jared already has
20 is what he earns per hour
h is how many hours he works
1200 is the total he needs to buy the car
Answer:
the answer is 20h+400>1200
How do u distributive property to find the product 27x34=27x(30+4)
The distributive property for the product of 27x34 will give a value of 918.
What is distributive property?It should be noted that distributive property simply means that one can distribute the contents of the parentheses into the other so that one can get the answer.
The distributive property is illustrated as:
a × (b + c) = a×b + a×c
In this case, using distributive property to find the product 27x34 will be:
=27x(30+4)
= 27 × 30 + 27 × 4
= 810 + 108
= 918
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THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER ONES!!I NEED THIS BY **TODAY**
(TY WHOEVER COMPLETES THESE <3333 )
Answer:
A. yes the y-intercept is 2
B. the graph is a straight line
C. The Slope of the Line is 1/2
D. The line Does Not pass through the origin
Step-by-step explanation:
A. the y-intercept is when x=0... y=([tex]\frac{-1}{2}[/tex]*0)+2
B. It is a straight line because x is raised to the 1st power and not another number
C. Although the slope of the equation is [tex]\frac{-1}{2}[/tex]... the slope is still 1/2
D. The line Does Not pass through the origin
origin= (0,0)
x=0 --> y=([tex]\frac{-1}{2}[/tex]*0)+2=
y=0---> 0=([tex]\frac{-1}{2}[/tex]*x)+2
[tex]\frac{-x}{2}[/tex]=2---> x=-4
Answer:
The first two statements are true.
Click "The y-intercept of the line is 2" and "The graph is a straight line"
Step-by-step explanation:
The most important thing to know for this question is the equation of a line, y=mx+c, where m is the slope of the line and c is the y-intercept (where the lines crosses the y-axis).
Our formula is y= - [tex]\frac{1}{2}[/tex]x+2, which means the y-intercept is 2. Therefore, the first statement is true.
The equation follows the general equation for a straight line, so the second statement is true.
Our formula is y= - [tex]\frac{1}{2}[/tex]x+2, which means the slope is - [tex]\frac{1}{2}[/tex], not [tex]\frac{1}{2}[/tex]. Therefore, the third statement is not true.
For a line to pass through the origin (0,0), it's y-intercept must be 0, but we already know the y-intercept here is 2. Therefore, the fourth statement is not true.
To see if the line passes through (0, -2), we must sub these values into the equation and see if it makes sense
y= - [tex]\frac{1}{2}[/tex]x+2?
-2=- [tex]\frac{1}{2}[/tex](0)+2?
-2 = 2? This is not true, so the last statement is also not true.
the product of two positive consecutive integers is 132. find the integers
The two positive consecutive integers with product of 132 are 11 and 12
How to determine the integers?From the question, the statement is given as
the product of two positive consecutive integers is 132.
Represent the consecutive integers with x and y
Where y = x + 1
So, we have
the product of x and y is 132.
Mathematically, this can be represented as
x * y = 132
Substitute y = x + 1 in x * y = 132
x * (x + 1) = 132
Express 132 as 11 * 12
x * (x + 1) = 11 * 12
This means that
x =11
Substitute x =11 in y = x + 1
y = 11 + 1
Evaluate
y = 12
Hence, the integers are 11 and 12
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How can you use a number line to represent the subtraction between two integers?
Answer:
down below
Step-by-step explanation:
You can use a number line to show the subtraction between two integers by plotting the first night number and then move backwards, (left) however many spaces you are subtracting by. It is a visual representation of subtraction.
Hope this helps! :)
Yüz milyon bir nasıl yazılıyor
Answer:
100,000,001
I hope this helps, have a great day/night!
Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?
27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.
As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,
The total height = distance between pool surface to platform + the depth of the pool
∵ The total height = 15 ft. + 12 ft.= 27 ft.
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Multiply.
Enter your answer by
filling in the boxes.
7× ³/4=
Answer:
The answer is 5.25
Trust me it is right,
7 x 3/4= 5.25
Step-by-step explanation:
Good Luck!
Darlene has 634 gallons of gasoline. Every time she mows her lawn, she uses 38 gallon. How many times can she mow her lawn before she needs more gas?
Answer: 16 times
Step-by-step explanation:
So in this situation, an equation helps!
634 = 38x
Where 634 is the number of gallons of gas she has; 38x is how much she needs to mow her lawn each time.
Now simply divide!
If we round we get x= 16.68 however this is not the correct answer because you can't mow 68/100 of a lawn! So even though 0.68 is greater than 0.5, we would round down to 16.
Shay, Jeremy, and Briana dive into a deep lake. Shay dives to a depth of - 2 ¾ meters from the surface of the lake. Jeremy’s depth is 0.50 meters deeper than Shay’s dive. Briana’s depth is ⅘ the depth of Jeremy’s dive. What is Briana’s depth?
0.40 meters
For a science experiment, Shanice recorded the temperature outside for five days. On the first day, the temperature was 4.5˚C. The next day, the temperature dropped 3 degrees. Following that, the temperature increased by 1.9 degrees, then dropped by 4.2 degrees, and finally dropped by 3.4 degrees again.
What was the average change in temperature? Show your thinking.
Over the past 3 ½ years, the water level in a water tank has decreased by 0.6 feet per year. If the water level is 11.4 feet today, what was the water level 3 ½ years ago? Show your thinking.
Compute.
15623= 11/6 x 3/2=11/2x1/2= 2 3/4
In December the temperature before sunrise was -5℉. The temperature then rose an average of ¼ degree each hour for 4 hours before dropping an average of 1 ¾ degrees each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 7 hours?
6a. What is 314+56 ?
6b. Compute. 412123
6c. Compute. 124
18
16
2
8
Answer:
shay is at a 0.50 meters and Jeremy is not
Step-by-step explanation:
In Foundations of Art, students are cutting circular paper plates into sectors. If the diameter of the plate is 22 cm, determine the central anglenecessary to create a sector with an area of 220 cm². Round to nearest thousandth if necessary.
STEP 1
Interpret question to make sense geometrically.
We have circular shapes, thus, we are dealing with circles and these circles have their area, however, we seek the angle with which when used to cut the circle will give us an area of 220 sq cm.
Note that this is a fraction of the total area of the circle.
This will be illustrated diagrammatically below
Area of a sector is given as:
[tex]\begin{gathered} \frac{\theta}{360}\times\pi(\frac{d^2}{4}) \\ \text{The question requires us to get the angle }\theta\text{ after equationg the expression to 220 sq cm} \end{gathered}[/tex]STEP 2
Find unknown
[tex]\begin{gathered} \text{Making }\theta\text{ the subject of the formulae gives} \\ \theta=\frac{220\times360\times4}{\pi\times22^2}=208.348^o \end{gathered}[/tex]The ci
Diego bought some raisins and walnuts to make trailmix. Raisins cost $4 a pound and walnuts cost $8 apound.Diego spent $24 on both ingredients. Diego bought atotal of 5 pounds of raisins and walnuts combined.There are two constraints represented here (COST &WEIGHT).Write an equation for each constraint. This shouldcreate a system of linear equations.Let x = pounds of raisinsy = pounds of walnuts
Let x = pounds of raisins
Let y = pounds of walnuts
The first linear equation for the system is representing COST
[tex]\text{ \$4x + \$8y = \$24}[/tex]The second linear equation for the system is representing WEIGHT
[tex]x\text{ + y = 5}[/tex]Hence the two-equation for each constraint are
[tex]\begin{gathered} \text{\$4x + \$8y = \$24} \\ x\text{ + y = 5} \\ \end{gathered}[/tex]a printer cartridge with 3 2/3 millilters of ink will print off 2/4 of a box of paper. How many millilters of ink will it take to print an entire box