Answer:
35
Step-by-step explanation:
x=3x-70
because corresponding angles are congruent
Solve the equation to find x.
Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy's collection? 38 50 95 130
Answer: She has 38 nickels
Step-by-step explanation:
Let's define:
N as the number of nickels, D as the number of dimes, and Q as the number of quarters.
She has 140 coins in total, so we can writen:
N + D + Q = 140.
And the total value is $19.00
Then we have:
N*0.05 + D*0.10 + Q*0.25 = 19
And "The difference in the number of dimes and the number of quarters is 10."
D - Q = 10.
So we have a system of 3 equations and 3 variables:
N + D + Q = 140.
N*0.05 + D*0.10 + Q*0.25 = 19
D - Q = 10.
First, let's isolate one of the variables in the third equation, i will isolate D.
D = 10 + Q.
Now we can replace this in the other two equations:
N + (10 + Q) + Q = 140
N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.
Now we can isolate Q in the first equation:
N + 10 + 2*Q = 140
2*Q = 140 - 10 - N
Q = 130/2 - N/2. = 65 - N/2
Now we can replace this in the other equation:
N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19
N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19
Now we can find the number of nickels.
N*0.05 + 1 + 22.75 - N*0.175 = 19
23.75 - N*(0.175 - 0.05) = 19
23.75 - 19 = N*0.125
4.75/0.125 = N
38 = N
She has 38 nickels
Answer:
A or 38 nickels
Step-by-step explanation:
Jenny invests $8500 for 3 years in a savings account. She gets 2.3% per year compound interest. How much money will Jenny have in her savings account at the end of 3 years? Give your answer correct to the nearest dollar.
Answer:$9,100.09
Step-by-step explanation:
How do you find MAD
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set
A car rental company charges $31 per day to rent a particular type of car, and $0.19 per mile. Juan is charged $59.31 for a one-day rental. How many miles did he drive? (Show your algebraic work)
x = # of miles
$59.31 = $31 + $0.19x
Subtract $31 from both sides
$28.31 = $0.19x
Divide both sides by $0.19
149 = x
Juan drove 149 miles
Write an equation/inequality to represent the description. *
Provided in the question, total number of people that can be accommodated in the theatre are 471.
Now, 254 people are seatedp is the number of people who can enter the theatre of the movie.Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.
[tex]1) \: p + 254 < 471[/tex]
Or, they can be equal to the number of people.
[tex]2) \: p + 254 = 471[/tex]
Combining both the inequations, We get
[tex] \boxed{ p + 254 \leqslant 471}[/tex]
So, the correct option is Option D
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in the himalaya mountains allong the border of tibet and nepal mount everest reaches a record height of 29,035 feet. How high is mount everest in miles? In kilometers? In meters?
ASK YOUR QUESTION
Answer:
Step-by-step explanation:
In miles it is 29,035 / 5280
= 5.5 miles.
In kilometers it is 5.5 / 0.621 kilometres
= 8.857 km.
= 8857 m.
Answer:
In miles it is 29,035 / 5280= 5.5 miles I umm belive
Step-by-step explanation:
To solve the equation −x − 3 = x2 − 2x− 15, you could graph of the following system. y = −x − 3 y = x2 − 2x − 15 Use the graph of this system to identify all solutions of −x − 3 = x2 − 2x − 15. A. -7 B. -3 C. 0 D. 4
Answer:
I think option (D) 4 is correct
Answer:
Step-by-step explanation:
E D G E
PLEASE HELP!!!!! ITS DUE SOON
Anyone understand how to do this?
Step-by-step explanation:
[tex]\angle L\\
\angle GLJ\\
\angle JLG\\
\angle 2[/tex]
Answer:
<L
<GLJ
< JLG
<2
Step-by-step explanation:
There are 4 different ways to name this angle
By the vertex <L
With the sides and vertex ( vertex in the middle) <GLJ or < JLG
or by the number in the middle <2
Math problem whoever answers it right gets brainlist
Answer:
the 2nd one
Step-by-step explanation:
look at it again its simple
how to factor x^2 +x-2
Answer:
(x - 1) (x + 2)
Step-by-step explanation:
Use the AC method
Given the area of a rectangular pool is 6x^3+19x^2+2x-20 and the length of one side of the pool is 2x+5, find the measure of the missing side.
The missing side length is
Answer:
The missing side length is 3x^2 + 2x -4
Step-by-step explanation:
Here, we are interested in calculating the length of the missing side.
Mathematically, the area of a rectangle = L * B
So since we have the area and one side, to get the other side, we shall need to divide the area by the side we have ;
Thus, the missing side length will be;
6x^3+19x^2+2x-20/2x+ 5
Please check attachment for the polynomial long division
The value of the other factor after the polynomial long division is 3x*2 + 2x -4
When Joseph first starts working at a grocery store, his hourly rate is $10. For each year he works at the grocery store, his hourly rate increases by $0.50. Joseph's hourly rate R, in dollars, is a function of t, the number of years he works at the grocery store. Write the function's formula.
Answer:
R(t)=10+0.50t
Step-by-step explanation:
His rate is based on time, for the first side of the equation.
His beginning pay would be 10, so 10 would act as the y intercept. The rate increases by 0.50, so for every year (t) it would increase by 0.50, why you add 0.50 and multiply by the amount of years he works.
Is 0.45 repeating an integer
Answer:
Yes
Step-by-step explanation:
Short cut: write down the recurring digitswrite a 9 for each recurring digit.
I need help on question 4 pls explain the answer thanks
Answer:
1. a
2. b
3. c
Step-by-step explanation:
1. a
For this first graph, we know that it matches a because of the domain. A tells us that the x≠-1. We know this because of the denominator.
(x+1)(x+1)=0 subtract both sides by 1]
x=-1
Therefore, a matches graph 1.
------------------------------------------------------------------------------------------------------
2. b
For graph 2, we can see that the graph is under the x-axis, meaning it is all negative. The only option that gives us a negative point is b. You can tell by the negative sign in front of the square root.
Therefore, b matches graph 2.
------------------------------------------------------------------------------------------------------
3. c
For graph 3, we see that everything is above the x-axis, meaning the graph is always positive. The option that fits this is c. In c, there are absolute values. Absolute values tell us that the answer is always going to be positive.
Therefore, c matches graph 3.
The difference between twelve and 2/3 of a number is 18. What is the number?
Answer:
FUVULYFVULO 8O75V IYDKLL RU,KJBUUCD
Step-by-step explanation:
5GTIDHKIIIIIIIIFH LVS65344B 5649IOKNJMHXJBN LO9
IJKNBKJSIHERk?/ q
WQRIUUHOFJG
IUVNIGTR
FKNGIKSG'FJDJFSD
DJXFN
DNGKDM
SNFIDSFJOSE9IR9WQ3W
can anyone help asap?
answer:
i think the answer is D it's been a really long time since i've done that
hope that helps!
The length of a board is 2 5/8 feet long . Of 5/6 of a foot is trimmed off ,find the new length
Answer:
I think it is 25 ft and 10 in
Step-by-step explanation:
BTW i'm probably wrong because my mom says i suck at math but friend me please lol
Answer: 1 19/24 ft
Step-by-step explanation: You multiply the fractions by the numbers needed to get the common denominator of 24 in this case 5/8 (put the two to the side for now.) multiply both top and bottom by 3 which will get you 15/24 then the whole number 2, your going to take it and subtract one from it so now there is only one whole number then with the one you subtracted you multiply (1x24)+15 *for the numerator* so now its 39/24 and for the second fraction 5/6 multiply both top and bottom by 4 now your fraction is 20/24 now...--> 39/24 - 20/24=19/24 and the left over whole number from the beginning goes down in front so the final answer is 1 19/24
Ten times the sum of half a number and 6 is 8
Answer:
I think it's 7
Step-by-step explanation:
I'm guessing I think
If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab
Answer:
AB = 2Step-by-step explanation:
If B is the midpoint of AC then:
AB = BC
4x - 10 = x - 1
+10 +10
4x = x + 9
-x -x
3x = 9
÷3 ÷3
x = 3
AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2
Jimmy rented a bike from Krystal's bikes. It costs $18 plus $6 per hour. If Jimmy paid $60, then he rented the bike for how many hours?
Answer:
7 hours.
Step-by-step explanation:
6x7=42
42+18=60
For number of hours Jimmy rented the bike Krystal's bikes is 8 hours.
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 =.
Given that, Jimmy rented a bike from Krystal's bikes. It costs $18 plus $6 per hour and Jimmy paid $60.
Let the number of hours be x.
Now, 18+6x=60
6x=42
x=8
Therefore, for number of hours Jimmy rented the bike Krystal's bikes is 8 hours.
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(14d2 - 8) + (6d2 - 2d +1)
Step-by-step explanation:
Taino went to a professional basketball game. He spent $54.85 for a ticket, $4.99 for a hot dog, and $2.15 for a soda. What is the total amount that he spent? Use mental math to find the sum.
Answer:
$61.99
Step-by-step explanation:
To find the total, we need to add.
Let's start with the ticket and the soda.
54+2=56
0.85+0.15=1
56+1=57
Next, add the price of the hot dog.
4.99 rounds to 5, so 57+5=62
62-0.01=61.99 (here we subtracted the one cent we originally rounded up)
$61.99
Hope this helps :-)
Answer:
61.99
Step-by-step explanation:
please answer this question for geometry
Answer:
D is the correct answer in 95% sure :)
X -2/5=7 help please
Answer:
37
Step-by-step explanation:
Fractions and integer operations practice, I need help please.
If RS = 34 and QS = 72, find QR.
Answer:
106 you have to add both values and i did add using my calculator and it was 106
Step-by-step explanation:
Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 because cm would cancel out C. 2.54cm/1 inch...because in would cancel out D. 1 inch/2.54 cm...because cm would cancel out
Answer:
The correct answer is 1 feet/2.54 cm because the cm would cancel out
Step-by-step explanation:
Here, we want the ratio that would allow us convert from 45 cm into feet.
The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.
It would be a case like;
1 feet/2.54 cm * 45 cm
So, we would have;
(45 cm * 1 feet)/2.54 cm
how is scientific notation used in the real world
Answer:
Scientific notation is used to write very large or very small numbers using less digits. ... See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
Step-by-step explanation:
These are just a few examples of how scientific notation is used in the real world. Its versatility allows scientists, engineers, mathematicians, and professionals from various disciplines to work with numbers efficiently and communicate effectively across different scales.
Scientific notation, also known as exponential notation, is widely used in various fields to express very large or very small numbers in a more convenient and concise format. Here are some examples of how scientific notation is used in the real world:
Astronomy: Scientific notation is essential in astronomy to represent the vast distances between celestial objects. For instance, the distance between the Earth and the Sun is approximately 93 million miles or 1.496 × 10²kilometers.
Physics: Scientists often use scientific notation to express the values of physical constants, such as the speed of light (2.998 × 10^8 meters per second) or the Planck constant (6.62607015 × 10^-34 joule-seconds).
Chemistry: Scientific notation is commonly used in chemistry to express the magnitude of extremely small or large quantities of substances. For example, Avogadro's number, which represents the number of atoms or molecules in one mole of a substance, is approximately 6.022 × 10².
Medicine: In medical and biological sciences, scientific notation is employed to represent quantities such as cell counts, enzyme activity, or concentrations of substances. It allows scientists and healthcare professionals to work with numbers that span a wide range, from tiny quantities to large-scale measurements.
Finance and Economics: Scientific notation is useful in financial and economic calculations, especially when dealing with large numbers such as national debt, gross domestic product (GDP), or company revenues. It simplifies the representation and manipulation of these values.
Engineering: In various engineering disciplines, scientific notation is used to express measurements and quantities, such as distances, weights, electrical currents, and voltages. It enables engineers to work with both very large and very small values encountered in their calculations and designs.
Computer Science: Scientific notation is employed in computer science to represent large or small numbers in computer programming. It is particularly useful when dealing with values that exceed the capacity of standard data types or when expressing very small probabilities or error values.
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A die is tossed. If the number rolled is greater than 2, what is the probability that the number rolled is 3?
Answer:
1/4
Step-by-step explanation:
The probability that the number rolled is 3 is, 1/4.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A die is tossed.
And, The number rolled is greater than 2.
Here, The number rolled is greater than 2.
Hence, Total outcomes are 3, 4, 5, 6
So, The probability that the number rolled is 3 is,
⇒ 1 / 4
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