As per the unitary method, the cost of bag is $93.3 and the cost of pen is $64.45
The term unitary method in math is known as the process of solving the the value of a single unit, and based on this value we can find the value of the required number of units.
Here we have given that the cost of pen and bag is $153.75.
Here we also know that the bag cost $28.85 more than the pen.
Let us consider that x be the cost of pen and here we know that the cost of bag is $28.85 more than the pen then it can be written as,
=> x + 28.85
Therefore, the equation is written as,
=> x + (x + 28.85) = 153.75
Now, we simplify the equation, then we get,
=> 2x + 28.85 = 153.75
Here we need to find the value of x, so, we have to move the other terms on the other side, then we get
=> 2x = 153.75 - 28.85
=> 2x = 124.9
Therefore, the value of x is 64.45.
Therefore, the cost of bag is calculated as,
=> x + 28.85
=> 64.45 + 28.85
=> 93.3
To know more about Unitary method here.
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How many tons are equal to 36,000 pounds? With work!
Answer:
18 tons
Step-by-step explanation:
1 pound = 0.0005 ton
Therefore,
36,000 pounds
= 36000*0.0005
= 18 tons
A quantity with an initial value of 720 decays continuously at a rate of 9% per hour. What is the value of the quantity after 69 hours, to the nearest hundredth?
Answer:
1.45
Step-by-step explanation:
f(t)=720e^rt
f(t)=720e
rt
Continuously uses Pe^(rt)
r\text{: decays }9\% \
r: decays 9%→−0.09
per hour
f(t)=720e^{-0.09t}
f(t)=720e
−0.09t
(where t is in hours)
69\text{ hours: no time conversion necessary}
69 hours: no time conversion necessary
hours are the only units in the problem.
\text{Plug in }t=69
Plug in t=69
f(69)=720e^{-0.09(69)}
f(69)=720e
−0.09(69)
1.44665097413
1.44665097413
\approx 1.45
≈1.45
Round to the nearest hundredth
need help , ill give a brainlist to the best answer
Answer:
-7, 7
Step-by-step explanation:
Connections Academy Sample Work Pre Calc
Please Help!!!
I believe
y (theta) = 3 sin t
and
a(theta) = 3 cos t
but that might be wrong because I'm so confused. Please Please help!
Step-by-step explanation:
sintheta=y/3"theta=sin-¹(y/3")
cos theta=a/3"
theta=cos-1(a/3)
sin beta=y/7"
beta=sin-¹(y/7")
b=√{y²+7" ²}
sorry last one I don't know
Answer:
sinθ = y/3 ⇒ y(θ) = 3 sinθcosθ = a/3 ⇒ a(θ) = 3 cosθsin β = y/7 = 3 sinθ / 7 ⇒ β(θ) = arcsin (3/7sinθ)b(θ) = √(7²-y²) = √(49-9sin²θ)p(θ) = a(θ) + b(θ) = 3 cosθ + √(49-9sin²θ)The graph is attached
---------------------------------------
p.s.
b(θ) can be put in different way:
cos β = b/7 ⇒ b(θ) = 7 cos β = 7cos(arcsin(3/7sinθ))Then
p(θ) = a(θ) + b(θ) = 3 cosθ + 7cos(arcsin(3/7sinθ))This doesn't change the function or the graph
Help me plz., ,, ,, ,, ,,,
Answer:
1. 100000
2. 16777216
3. x7
4.64
5.1/64 (Decimal: 0.015625)
Step-by-step explanation:
In AJKL.m._J = 40and m K = 55°. In AMNP, m M = 40° and m P = 85 A student concludes that the triangles are not similar. Do you agree or disagree? Why? (1 point)
O Disagree, by the Interior Angles Theorem, m N = 55°, so the triangles are similar by the AA similarity criterion
O Disagree, by the Interior Angles Theorem, mZN = 45°, so the triangles are similar by the AA similarity criterion
O Agree by the interior Angles Theorem, m_N = 45 Togo the triangles are not similar by the AA
O Agree, since m_K #m_P, the triangles are not similar by the AA similarity criterion
Answer: A
Step-by-step explanation:
Source: trust me bro
Suppose that the function f(x)=3x+10 represents the cost to rent a movie for a month. Kim has $15. How many more dollars does she need to rent 8 movies?
Answer:
$19
Step-by-step explanation:
Given data
Cost of movie
f(x)=3x+10
Hence the cost of 8 movies is
f(x)=3(8)+10
f(x)=24+10
f(x)=$34
Hence the cost of 8 movies is $34, Kim needs extra
=34-15
=$19
3 unit right
3 unit left
3 unit up
3 unit down
8 unit right
8 unit left
8 unit up
8 unit down
10 - 4 (3-2y) = 8y -5
Answer:
No Solutions
Step-by-step explanation:
10 - 4(3-2y) = 8y - 5
Distribute:
10 - 12 + 8y = 8y - 5
Simplify:
-2 + 8y = 8y - 5
Same to both sides
-2 + 5 = 8y - 8y
3 = 0y
No Solutions
Let me know if you have any questions
PLSSSSSSSS HELP CORRECT ANSWER GETS BRAINLIEST
Answers
A.2 bags
B.3 bags
C.4 bags
D.5 bags
Answer:
A. 2 bags
Step-by-step explanation:
12x5=60
60 divided by 2 = 30
30 divided by 15 equals 2 bags
Please tell me if this is correct or incorrect
Hope this helps
Step-by-step explanation:
what are the dimensions of the flower bed
otherwise you can solve it by 151515/area of the flower bed
Alfredo is ordering a taxi from an online taxi service. The taxi charges $3.50 just for
the pickup and then an additional $0.75 per mile driven. How much would a taxi ride
cost if Alfredo is riding for 5 miles? How much would a taxi ride cost that is m miles
long?
HELP meeeeeeeeeeeeeeeeeeeee
Answer:
first:
a)
second:
b)
Step-by-step explanation:
Can someone help me please
Answer:
height of b = 280
Step-by-step explanation:
candle b has a height of 280 - 5t, when it comes out of the mold then t=0 so the initial height of b is 280
candle b's height drops by 5 every hour (that's what the -5t part means)
candle a started at 216 and dropped to 192 in 3 hours, so it dropped by 24 in 3 hours so it drops 8 each hour
so candle b starts out taller (280 v. 216) and candle b burns slower (a at 8 per hour and b at 5 per hour), so b will never 'catch up' with a... candle a will be burned out while candle b is still burning
A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank?
Answer:
[tex]Volume = 1440m^3[/tex]
Step-by-step explanation:
Given
Missing dimensions:
[tex]Length = 15m[/tex]
[tex]Width = 8m[/tex]
[tex]Height = 12m[/tex]
Required
Determine the volume
Volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
This gives:
[tex]Volume = 15m * 8m * 12m[/tex]
[tex]Volume = 1440m^3[/tex]
Rewrite this division expression a an equivalent multiplication expression: 5/8 divided by 2/3
Please help me I’m not very smart lol
Answer:
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the upside-down fraction.
(5/8) ÷ (2/3) = (5/8) ⋅ (3/2) = 15/16
When a new TV became available in a store, the number sold in the first week was high. Sales
decreased over the next two weeks and then they remained steady over the next two weeks. The
following week, the total number sold by the store increased slightly. Sketch the graph of this function
over the six weeks.
Answer:
The way you would sketch the graph is slowly increasing, staying about the same, and then go up a little bit.
Good luck!
5= h/1.25 help me plz
Answer:
Step-by-step explanation:
5=h/1.25
h=6.25
On solving for the value of {h}, we get -
{h} = 6.25.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the expression as -
5 = h/1.25
We can solve for the value of {h} as -
5 = h/1.25
{h} = 5 x 1.25
{h} = 5 x 125/100
{h} = 125/20
{h} = 6.25
Therefore, on solving for the value of {h}, we get -
{h} = 6.25.
To solve more questions on functions, visit the link below-
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please help me on this will give you brainliest
Answer:
2,010,000
Step-by-step explanation:
3 x 10^5
10^5= 100000
3 x 100000 = 300000
300000 x 6.7 = 2,010,000
Hope this helps
Answer:
Im not 100% sure but i think its 44,776.1194
Step-by-step explanation: What you do is multiply 3 x 100,000 because 10 to the 5th power is 100,000. Then you divide 300,000 by 6.7 and get your answer of 44,776.1194. Sorry if its incorrect
Write an equation of the parabola in intercept form that passes through (-2, 0.05) with x-intercepts of -7 and -3
Important things you need to know:
1. x intercept = solution of the equation
2. parabola = the highest power is x²
3. "passes through" is important because you have the y intercept (it is the c in ax² + bx + c = 0)
The intercept form is y = a(x-r)(x-s), where r and s are the x intercepts (solutions) of the graph
Substitite the numbers and values you know:
y = a(x-r)(x-s)
0.05 = a(-2-(-7)) × (-2-(-3))
Then you should find a.
Rewrite the equation in the form of y = a ( x+7 )( x+3 ) where the value of a is found.
Is -50 greater than 2
True or false
FALSE
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
because negative (-) numbers are always smaller than positive (+) numbers
is a rectangle a plane shape
Answer:
A plane shape with four straight sides and four right angles for corners is called a rectangle.
Step-by-step explanation:
1/3a = -5. Solve each equation
Answer:
1/3a = -5
1=3a×-5
1=-15a
a=-1/15
Answer:
a=-15
Step-by-step explanation:
1/3a = -5
1/3(*3)a=-5*3
a=-15
What is additive inverse of the check?
please help
7x -3
-7x + 3
-7x - 3
7x - 3
Answer:
pretty sure it would be 7x-3
There are 6 balls. Half of the balls are blue. One ball is red. The rest are green. Write the fraction for the green balls.
Answer:
1/3 (Minimized) 2/6
Step-by-step explanation:
A coin lands on heads 300 times. The relative frequency of heads is 0.6. How many times was the coin flipped?
Answer: Number of times the coin is flipped =500
Step-by-step explanation:
Relative frequency of head = [tex]\dfrac{\text{Number of times heads occur}}{\text{Total number of times coin is flipped}}[/tex]
Let x= Number of times the coin is flipped, then
[tex]0.6=\dfrac{300}{x}\\\\\Rightarrow\ x=\dfrac{300}{0.6}\\\\\Rightarrow\ x=\dfrac{3000}{6}\\\\\Rightarrow\ x=500[/tex]
Hence, Number of times the coin is flipped =500
The Value that you insert into a function is know as the?
Answer:
Step-by-step explanation:
Most commonly, that value would be the "independent variable."
We evaluate the function at that particular value of the independent variable.
if there are 10 birds for 4 dogs,what is the ratio of birds to dogs?
Answer:
10:4 ( Answer )
I hope it helps you
A student solves the inequality −5v>55. Each step in the student's solution is shown below. Identify where the student made any errors.
Note: Steps of student are not given. So, the proper steps of the solution are provided below.
Given:
The inequality is
[tex]-5v>55[/tex]
To find:
Where the student made any errors?
Solution:
We have,
[tex]-5v>55[/tex]
On dividing both sides -5 change the sign of equality because -5 is a negative number.
[tex]\dfrac{-5v}{-5}<\dfrac{55}{-5}[/tex]
[tex]v<-11[/tex]
Therefore, the solution of given inequality is [tex]v<-11[/tex].
Szklanka ma pojemnóść 250ml czyli 250cm³. Ile szklanek można napełnić wodą z litrowej butelkki
Answer:
75cm
Step-by-step explanation:
Which number line shows all the values of that make the inequality -3 +1 < 7 true?
Answer:
Number line D is true
Step-by-step explanation:
Given
[tex]-3x + 1 < 7[/tex]
See attachment for number lines
Required
Which number line makes the inequality true
First, we solve for x in [tex]-3x + 1 < 7[/tex]
[tex]-3x < 7 - 1[/tex]
[tex]-3x < 6[/tex]
Divide through by -3
[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]
[tex]x > -2[/tex]
The inequality means x is greater than -2.
This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened
Number line D is true