Algebra is a branch of mathematics that deals with mathematical statements and relationships in which symbols (such as x, y, and z) represent numbers or other unknown values. Harry has 62 quarters and 38 nickels.
How many of each coin does he have?
To find out how many of each coin Harry has, we need to use algebra. Let x be the number of quarters and y be the number of nickels. We know that:
x + y = 100 (because Harry collected 100 coins in total)
0.25x + 0.05y = 17.40 (because that's the total value of the quarters and nickels in dollars)
We can use the first equation to solve for one of the variables in terms of the other. For example, we can subtract y from both sides to get:
x = 100 - y
Then we can substitute this value of x into the second equation and solve for y:
0.25(100 - y) + 0.05y = 17.40
25 - 0.25y + 0.05y = 17.40
25 = 17.40 + 0.20y
0.20y = 7.60
y = 38 (the number of nickels)
Now that we know the value of y, we can use the first equation to find the value of x:
x + 38 = 100
x = 62 (the number of quarters)
So Harry has 62 quarters and 38 nickels.
These symbols are used to represent quantities, and the operations and relationships between them are studied through the use of mathematical laws and rules.
Algebraic equations and formulas allow one to solve a wide variety of problems, including problems in physics, engineering, and other sciences, as well as in everyday life.
Algebraic concepts include variables, expressions, equations, and functions. It is the study of mathematical symbols and the rules for manipulating these symbols. Algebra is a powerful tool for solving problems by using mathematical models.
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PLS HELP WITH THIS ILL LOVE THEM FORWVWR
Answer:
I think opinion a. If it is wrong Iam sorry
If the height of a cylinder is halved, its volume becomes how many times?
Answer:
[tex]volume \: of \: cylinder = \pi {r}^{2} h \\ if \ \: \: h \: \: is \: halved \: then \\ volume = \frac{\pi {r}^{2} h}{2} [/tex]
hope my answer is correct
hey just need some help.
whoever explains how that equals 17 and how to do it gets brainliest answer
Answer:
c^2=289
Step-by-step explanation:
this is because c^2=17×17=289
A student received a coupon for 20% off the total purchase price at a clothing store. Let z be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
equivalent expression by combining like terms.
Z-0.2z
Z-0.2z =
Answer:
i don't know
Step-by-step explanation:
mag-aral ka mabuti para maging matalino
The y-intercept is 2.
Question 1 options:
True
False
Answer:
false. the y-intercept is -2.
HELP ANSWER 6,8,9!! WILL MARK BRAINIEST
please show work too!!!
Answer:
Step-by-step explanation:
6). Since, m∠JMN = 90° [Given]
And m∠JMK + m∠NMK = m∠JMN
m∠JMK = m∠JMN - m∠NMK
= 90° - 28°
= 62°
From the other figure,
m∠STR + m∠STP = 180° [Linear pair of angles]
m∠STR = 180° - m∠STP
= 180° - 118°
= 62°
Therefore, mJMK = m∠STR = 62°
And m∠JMK ≅ m∠STR
8). Since, BF is the angle bisector of ∠AFC,
∠AFB ≅ ∠BFC [By angle bisector theorem]
∠CFD ≅ ∠BFC [Given]
Therefore, ∠AFB ≅ ∠CFD [Transitive property of equality]
9). AG is the bisector of CD,
Therefore, CE ≅ DE ------- (1)
IJ is the bisector of CE,
Therefore, CK ≅ KE ---------(2)
BH is the bisector of ED,
Therefore, EF ≅ FD -------(3)
Since, CE ≅ DE [Given as (1)]
(CK + KE) ≅ (EF + FD)
2(KE) ≅ 2(EF) [Given in properties (2) and (3)]
KE ≅ EF
x
-3
-2
-1
0
1
2
3
3
4.95
8.1675 13.476375
f(x) 0.6678... 1.1019... 1.8181...
g(x) 0.125 0.25
0.5
1
2
4
8
0.25
0.5
0.75
1
1.25
1.5
1.75
h(x)
k(x)
64
16
4
0
0.25
0.0625
0.0156
O A. h(x)
B. f(x)
OC. k(x)
D. g(x)
k(×)×95=-0.75 sume k+95=***
g(x) is the function from the table which gives values that could come from the exponential function.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the function from the table which gives values that could come from the exponential function.
The exponential function is a mathematical function denoted by .
As we observe the g(x) function.
When x =1, g(x)=2
x=2, g(x)=4
x=3, g(x)=8
g(x)=2ˣ is the required function which is in exponential form
Hence, g(x) is the function from the table which gives values that could come from the exponential function.
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AHHHHAHHHHAHHH IM DOING MY TEST!! ITS REVIEW OF MY 6TH GRADE CUZ I DIDNT PASS
Answer:
Good Luck!! try your best,
Step-by-step explanation:
Evaluate the expression.
Answer:
Step-by-step explanation:
Combine like terms
8+7y+2x+4y+4
11y+2x+12
The camp director packs 952 snack bags into plastic coolers. She packs 28 coolers with the same number of snack bags in each cooler.
How many snack bags are in each cooler?
Answer:
34
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
952 / 28 is 34 (/= divide)
5 - X = -6
what is the variable
Charmaine has 17 cars available to rent. Let C be the number of cars she would have left after renting R of them.
Answer:
C = 17 - R
Step-by-step explanation:
In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.
C = 17 - R
Samuel's parents own a chocolate shop, and today he gets to help make the nut truffles. Each truffle starts with one of 4 kinds of nuts and is dipped in one of 3 kinds of chocolate. How many different nut truffles can they make?
What is the value of the expression below if x =6 and y=4?
(×+y)+5
Answer:
15
Step-by-step explanation:
(x+y)+5
(6+4)+5
(10)+5
15
F(x) is a function
A. True
B. False
Answer: true
Step-by-step explanation:
Please Help!!!!!!!!!
Answer:
you either need to multiply or add im on that question
Step-by-step explanation:
Answer:
x = 115°Step-by-step explanation:
Refer to attached picture
The small triangle on the top left has one angle 50° and the other two are same:
180° - x, as they for a straight angle with xSum of the angles in the triangle:
50° + 2(180° - x) = 180°50 + 180° - 2x = 02x = 230°x = 115°The circumference of a circle is 8.88cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
2.82
Step-by-step explanation:
The formula for the circumference of a circle is given as:
π × D
Where D represents the Diameter of the circle.
From the question:
The circumference of a circle is 8.88cm.
The Length of the Diameter is calculated as:
8.88cm = π × D
D = 8.88 cm/π
D = 2.8265917893 cm
Approximately to 2 decimal places = 2.83cm
Therefore, the length of the diameter = 2.83 cm
A function is given: f (x) = 2x + 3
What is the value of f(-2)?
Answer:
f(-2) = -1
Step-by-step explanation:
-2 is x, so replace x as -2 into the equation
f (-2) = 2(-2) + 3
f (-2) = -4 + 3
f (-2) = -1
A collection of all points in the plane of the form (x, f(x)) is the graph of a function f. The graph of f is defined as the graph of the equation y = f(x).
Find function:[tex]\to f (x) = 2x + 3[/tex]
[tex]\to f(-2) =?[/tex]
Putting the value "-2 " into the above given method:
⇒ f(-2) = 2(-2) + 3
⇒ f(-2) = -4 + 3
⇒ f(-2) = -1
Please find the graph file.
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Through (-5,-3), slope = 1/5
Answer:
what you want
1/5x-5+-3=y
Step-by-step explanation:
Answer:
y=1/5x-2
Step-by-step explanation:
(y - y1) = m(x - x1)
y-(-3)=1/5(x-(-5))
y+3=1/5(x+5)
y+3=1/5x+1
y=1/5x+1-3
y=1/5x-2
The first equation in a system is 5x + 2y = –4. Which equation gives a system with no solution? A. y = 2x + 6 B. y = 1/4x – 2 C. y = 2x + 7 D. y = –5/2x – 3
Given:
The first equation of the system of equations is
[tex]5x+2y=-4[/tex]
To find:
The equation that gives a system with no solution.
Solution:
We have,
[tex]5x+2y=-4[/tex]
It can be written as
[tex]2y=-5x-4[/tex]
[tex]y=\dfrac{-5x-4}{2}[/tex]
[tex]y=-\dfrac{5}{2}x-2[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-\dfrac{5}{2},b=-2[/tex]
It means the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is -2.
Slope of parallel lines are same but the y-intercepts are different.
From the given options, the slope of the line is [tex]-\dfrac{5}{2}[/tex] only in option D and the y-intercept is -3 which is different from -2.
The line [tex]y=-\dfrac{5}{2}x-3[/tex] is parallel to the given line and parallel lines have no solution. So, the second equation of the system of equations is [tex]y=-\dfrac{5}{2}x-3[/tex].
Therefore, the correct option is D.
Find the product of (√3-5) and (√3+2)
Step-by-step explanation:
check it.. i have solved it for you.
Find the value of b + 19 when b=9.
Answer:
28.
Step-by-step explanation:
b + 19 =
(9) + 19 =
9 + 19 = 28
Answer:
28
Step-by-step explanation:
Substitute b with 9 so it's 19 + 9 = 28
Have a great day <3
Can you help me please it’s is due tonight please help me
Answer:
The neighbors paid him 24
plssss answer!!! need help!!!
Answer:
6.25π
Step-by-step explanation:
area = πr^2
The weatherman predicted the high temperature for today to be 52 degrees. The actual high temperature was 50 degrees. What was the percent of error?
Answer:
Weatherman on top of them out to replace the temperature is currently 0° has been followed at the constantWeatherman on top of them out to replace the temperature is currently 0° has been followed at the constant Weatherman on top of them out to replace the temperature is currently 0° has been followed at the constant rWeatherman on top of them out to replace the temperature is currently 0° has been followed at the constant raWeatherman on top of a mountain reports the temperature is currently 0° has been falling at the constant rate of 3° per hour what was the temperature three hours ago
Step-by-step explanation:
hii! please help. i’ll give brainliest if you give a correct answer thanks!
Answer:±
5 ÷9/10,4/5 ÷3/7Ф
Step-by-step explanation:≠
I hope this help if it´m wrong I´m so sorry but i´m sure its right tho≤≥
#Hope have nice day<3Δ~Regards~⇔-44014137⊄⊅The perimeter of a rectangle is (10x+2). If it’s width is (2x-1) whit h expression reprehensible length ?
Answer 3002 I'm not sure I'm just answering tons of things coins
Step-by-step explanation:
What is the answer to this: Morgan bought 5 marble statues. They weighed 126.5 pounds altogether. How much did each statue weigh?
Answer:
25.3 pounds if all the statues way the same
Step-by-step explanation:
Answer:
25.3 lbs
Step-by-step explanation:
Assuming that all the marble statues weight the same amount, simply divide the total weight with the amount of statues:
126.5/5 = 25.3
25.3 lbs is the weight of each statue.
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A car manufacturer announced that next year the price of a certain model car would increase by 5.5% . This year the price is 19,076. Find the increase and the new price .
Answer
1,049.18 and 20,125.18
Step-by-step explanation:
increase: 19,076*0.055 = 1,049.18
new price: 19,076*1.055 = 20,125.18
I NEED HELP AGAIN 6.0
Answer:
(-3,2) (-2,4)
Step-by-step explanation:
Origin to (-3,2)
Other dot (-2,4)