Answer:
Step-by-step explanation:
The jar contains 2 types of coins dimes and quarters
the total amount is equal to 36.25 dollars
the total number of coins is 250
let number of dimes be x and quarters be y
let us put the equation
0.10x + 0.25y = 36.25
for our convinience convert all money to cents i.e. = 3625 cents
now the equations are
10x + 25y = 3625
x + y = 250
we need to solve for y i.e. number of quaters
y = 250 - x
rewrite the equation substituting y in x place
10(250 - y) +25 y = 3625
2500 - 10y +25y = 3625
15y = 1125
y = 75
so the number of quarters = 75
cross checking :
number of dimes = 250 - 75 = 175
total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25
answer asap thanks!!
Step-by-step explanation:
(5-\/5)²
25-10\/5+5
30-10\/5
Here, a=30 and b=-10
what.is.the.volume....
Answer:
180
Step-by-step explanation:
V=lwh
3=10·9·6
3=180
find the quotient of 6y²-5y-56 and 2y-7.
help.
Answer:
i have made it in above picture
The formular r= √A/P- 1 gives the interest rater that will allow principal P to grow into amount A in two years, if the interest is compounded annually. Suppose you have 5425
to deposit into an account. Find the interest rate you would need to have $470 in the account at the end of the second year.
The interest rate is 29.43%
How to determine the interest rate?The given parameters are:
Amount, A = $470
Principal, P = $5425
The formula of rate is given as:
r= √A/P- 1
Substitute known values
r= √470/5425- 1
Evaluate the difference
r= √470/5424
Evaluate the quotient
r= √0.08665
Evaluate the exponent
r= 0.2943
Express as percentage
r = 29.43%
Hence, the interest rate is 29.43%
Read more about compound interest at:
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Solve the equation
(x/x+2) - (4/x-2) = 1
Answer:
[tex]\bold{x=-\dfrac23}[/tex]Step-by-step explanation:
[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]
The solution to the equation is x = -2/3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].
Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]
Hence, the solution to the equation is x = -2/3.
Learn more about equations here:
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what are the equalities of f(x)=loga(x)
A. f(1)=0
B. f(a)= 1
C. f(0)=0
D. f(1/a)=-1
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
For appropriate values of 'a', the log function has the following characteristics:
A: f(1) = 0B: f(a) = 1D: f(1/a) = -1Any log function will tend toward negative infinity as x tends to zero (for |a|>1).
Write in quadratic form
f(x)=(x+2)^2
Eddie has a cake. He eats 5/12 of the cake. Then he gives Donny 1/3 of the remaining cake. How much cake does Donny get?
Answer:
2 1/3
Step-by-step explanation:
Answer:
Donny would be getting 4/12 of the cake, 1/3 x 4 on both sides would bring it from 1/3 to 4/12 ^-^
Step-by-step explanation:
When spinning a ten-number spinner (with numbers 1-10), what are the odds of the arrow landing on 8?
need answer. pls help
Please helpppppppppppp
Find the area of a triangle with a base of 10 inches and a height of 5 inches
Answer:
area = 25 in^2
Step-by-step explanation:
area = 1/2(10)(5) = 25 in^2
Answer:
The height is 4 inches.For a triangle, we have Area = 1/2 base times height.
With a = area, b = base and h = height,
we have:
A=1/2bh
We are told that A=10 square inches and b=5 inches, so we need to solve (find h ) for:
10=1/2(5)h
We can get rid of the fraction by multiplying by 2 on both sides:
20=5h
Now divide noth sides by 5 (or multiply by 1/5 , to get
20/5=5h/5 so 4=h
The height is 4 inches.
Step-by-step explanation:
Hope it is helpful....
is it A, B,C, or D? i need help asap
Answer:
C
Step-by-step explanation:
If x=0 is 2010, you can infer that x=6 would be 2016.
From there, you just have to find the correlating y-value (38).
What does m equal?please help me.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the inequalities.
===> -7 + 45m - 35 < 9m - 11
===> 45m - 42 < 9m - 11
===> 45m - 9m < -11 + 42
==> 36m < 31
==> m < 31/36
hence the value of m < 31/36
Answer:
m = 31/36
Step-by-step explanation:
Hope this helps you.
help i don't know what to do please help
If the sphere shown above has a radius of 8 units, then what is the approximate volume of the sphere? (Use 3.14 for .)
Answer: 2144
Step-by-step explanation:
v = 4/3pir³
v = 4/3 (3.14) (8)³
v = 4/3 (3.14)(512)
v ≈ 2144
Answer:
2,143.57 cubit units.
Step-by-step explanation:
To find the volume of the sphere, use the formula given below.
Volume = 4/3π r³
Use this formula, the value given for the radius, and 3.14 for to find the volume.
Volume = 4/3π r³
~~ 4/3 (3.14) (8 units)³
~~ 2,143.57 cubic units
Therefore, the approximate volume of the sphere is 2,143.57 cubic units.
please help asap!
thank you
Answer:
x=20
Step-by-step explanation:
pentagon= 3 triangles could be made-> 3 x 180
total angle = 540
540= 5x+2+5x+10+4x+15+8x+8+3x+5
540=25x+40
500=25x
20=x
Answer:
x=20
Step-by-step explanation:
How many solutions are there to the equation below?
5x - 2 - 3x(1 + 2) = 2(2 + 3)
A. O
B. infinitely many
C. 1
(c^3b^1a^4)^4 + 3a^16b^4c^12
Answer: 4a16b4c12
Step-by-step explanation:
21=-7n
It's a one-step equation. Please help!!
Answer:
-3=n
Step-by-step explanation:
21=-7n
divide both sides by -7
-3=n
Answer:
n=3
Step-by-step explanation:
21 ÷7=3
n=3
Can someone help and give me a step by step explanation please?!
9514 1404 393
Answer:
∠QSR = 78°∠SQR = 51°Step-by-step explanation:
The measure of an inscribed angle (QTR) is half the measure of the arc it intercepts. The measure of an arc is the same as the measure of the central angle it intercepts. So, we have ...
∠QSR = 2×∠QTR
∠QSR = 2×39°
∠QSR = 78°
__
Sides SQ and SR are radii of circle S, so are the same length. That means triangle QRS is an isosceles triangle and the base angles SQR and SRQ are congruent. The sum of angles in a triangle is 180°, so we have ...
∠QSR + 2(∠SQR) = 180°
78° + 2(∠SQR) = 180° . . . . fill in the value we know
2(∠SQR) = 102° . . . . . . . . . subtract 78°
∠SQR = 51° . . . . . . . . . . . . .divide by 2
35/k = 7/3 what does k equal
Hi, can someone help me with my math homework?
Answer:
You didn't post it up for me to see, I can try to help.
Identify and describe the error in the incorrect counselor's work.
Answer:
?????????
Step-by-step explanation:
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WalMart offered a 15% discount off the regular price of a Ice Cream Maker. The amount of the discount is $5.00. What is the regular price of the Ice Cream Maker?
Answer:
$33.33
Step-by-step explanation:
We are told in the above :
WalMart offered a 15% discount off the regular price of a Ice Cream Maker.
The amount of the discount is $5.00.
The formula for Percentage Discount =
Discount/Original amount × 100
Original amount = x
Hence:
$5/x × 100 = 15%
= 5/x = 15/100
Cross Multiply
5 = 0.15 × x
5= 0.15x
x = 5/0.15
x = $33.33
Therefore, the regular price of the Ice Cream Maker is $33.33
Help me lol please and thank you
Find the Value of X please
I need help due in a Hour
50 yd
explanation:이
3. What is the value of -44.4-7?
64
A.
B.
1
64
C.
1
64
D.
-64
Answer:
c im quessing though but i got -54.1 so i dont know
Step-by-step explanation:
bfnbhsvkisbvjdkbv jv ksnhvsdf vkdbsnjbv k
Answer:
41
Step-by-step explanation:
47-6=41