Answer:
John is 16 years old now.
Check:
1) 16+5 = 21
2) 16-9 = 7
3) 21 = 7*3
Step-by-step explanation:
Hope it helps! =D
Suppose that w and x are points on the number line. if wx= 10 and x lies at -13, where could w be located? if there is more that one location, separate then with comas.
The X can be placed on the line at either 23 or -3 on the axis.
Describe line.
A line, according to Euclid, is the distance between two points and can stretch forever in either direction.
Given:
WX=10
W is now at -13.
Right now, we are unsure of whether W or X comes first.
Taking two cases
Case 1:
W comes first before
X is at
=10-(-13)
=23
Case 2:
X came first before
X is at
=10+(-13)
= -3
Therefore, X can be placed at either at 23 or -3 on the axis respectively
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Miles owns 25 toy cars and Lee owns 33 toy
cars. How many more toy cars does Lee own
than Miles?
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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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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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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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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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
HELP!! // You need to download 4 games for your math class. Each game is the same price. Since this is your first time downloading a game from the site, you are also charged a one-time $0.75 access fee. You are charged a total of $5.50. What is the cost of each game? Show your work and round your answer to the nearest cent.
Answer:1.2
Step-by-step explanation: subtract the one time fee from the total, 5.5-0.75= 4.75 than divide that by 4, 4.75/4= 1.1875 than just round up to $1.20 for each game
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.
Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for it.13 cm16 cmThe volume is aboutcm3
we know that
the volume of the cone is equal to
[tex]V=\frac{1}{3}\cdot\pi^{}\cdot r^2\cdot h[/tex]we have
pi=3.14
r=13 cm
h=16 cm
substitute
[tex]\begin{gathered} v=\frac{1}{3}\cdot3.14\cdot(13^2)\cdot16 \\ v=2,830.2\text{ cm\textasciicircum{}3} \end{gathered}[/tex]Volume is about 2,830.2 cubic centimetersANSWER QUICK PLS GIVING BRAINLIEST
Which is the equation of a line that has a slope of 1 and passes through point (5, 3)?
Group of answer choices
y = x – 2
y = x + 2
y = x + 3
y = x – 5
Answer:
y = x-2
Step-by-step explanation:
slope = 1, point = (5,3)
y-3=x-5
y=x-2
:]
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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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]
What is the equation of the line that passes through the point (-2, -2) and has
slope of 3?
Which of the following could be a real-world description of 2x ?
10
A. The cost of a pizza split by 10 people plus a 2$ tip
B. The cost of a pizza plus a 2$ tip divided by 10 people
C. The cost per pizza for 10 pizzas divided by 2 people
D. The cost per pizza for 2 pizzas divided by 10 people
Step-by-step explanation:
it is not clear what you mean by 2x ? 10.
I assume you mean 2x / 10 (divided).
in any case, D is the only answer that makes sense with a "2x" term.
x would then stand for the price of a single pizza.
2x is then the price for 2 pizzas.
2x / 10 is then the share of the costs of the 2 pizzas per person, if there are 10 people sharing (the costs are evenly split among 10 parties).
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
Jordan and his friends bought a few items from a store. a bag of chips is 1/4 the cost of a sandwich . A soda is 3$less than a sandwich.
Write an expression to represent the items
Answer:
I have the same answer and I don't knownit
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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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:
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!
What is an example of cultural diffusion that was found in Faiyum?
In the Fayum Basin during the first and third century BCE, Egyptians established a practice of painting pictures of their loved ones on wood or linen panels, which would eventually be glued to their mummified remains.
For centuries, scholars have been fascinated by these Fayum mummy portraits. Humans have attempted to identify their departed family members since the dawn of time.
Egyptians were no exception to this rule. Nonetheless, because of the numerous nations that conquered. The pictures were definitely impacted by the influence of different cultures, and they influenced Egypt.
Each leadership wave carried with it new ambitions and influences. With the exception of the Assyrians, who were infamous for their violent reign, and the Persians, each victorious country before the Amon priests aspired to reestablish a Pharaoh, probably to establish the role of a god-king (Kamil, "Coptic Egypt," 16-18). Despite the ruler changes, there remained a quite stable set of Egyptian ideas and customs.
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Yüz milyon bir nasıl yazılıyor
Answer:
100,000,001
I hope this helps, have a great day/night!
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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plsss help me fill in the blanks
Answer:
m<1=
m=0
m<7
=m7
Tama Po ya
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
a puzzle piece, in the shape of a triangle, has perimeter 30 cm. two sides of the triangle are each twice as long as the shortest side. find the length of each side.
the shortest side is 6 centimeters and the length of each of the other sides is 12 centimeters each.
Let x represent the length of the shortest side of the triangle.
Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.
The perimeter of a triangle is the sum of each side of the triangle.
The puzzle piece in the shape of a triangle has perimeter 30 centimeters. This means that
x + 2x + 2x = 30
5x = 30
x = 30/5
x = 6
The length of each of the two sides is
2x = 2 × 6 = 12
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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
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
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