The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.
The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.
It is important to note that
a penny = $0.01
a dime = $0.10
a quarter = $0.25
Let's represent the number of
pennies = p
dimes = d
quarters = q
The number of pennies is equal to the number of dimes, hence:
p = q, so we can represent the number of pennies and dimes as y
The box currently contains 40 coins
So: 40 = y + y + q
q = 40 - 2y...........Equation 1
The total value of the coins is $8.05
So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2
We substitute 40 - 2y for q in Equation 2
0.01y + 0.1y + 0.25(40 - 2y) = 8.05
0.01y + 0.1y + 10 - 0.5y = 8.05
Collect like terms
0.01y + 0.1y - 0.5y = 8.05 - 10
-0.39y = -1.95
Divide both sides by -0.39
-0.39y/-0.39 = -1.95/0.39
y = 5
Since y represents the number of pennies and dimes, the number of pennies is 5 and the number of quarters is 5.
To solve for the number quarters, we would use equation 1
q = 40 - 2y...........Equation 1
q = 40 - 2 x 5
q = 40 - 10
q = 30
The number of quarters is 30.
Therefore, we have 5 pennies, 5 dimes, and 30 quarters.
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what number must be subtracted from both the numerator and denominator of 5/9 to obtain a fraction equal to 3/8
Answer:
67 / 72
Step-by-step explanation:
3/8 + 5/9 = 27/72 + 40/72 = 67/72
What is the amplitude of this graph? On a coordinate plane, the points on a function curve are shown. The curve crosses the y-axis at (0, 5) and then decreases to the minimum. The minimum is indicated by a green point. The minimum is at (0.748, 2) and the maximum is at (1.870, 6). After the green point, the curve increases and then decreases again.
Answer:
here are the answers! :)
Step-by-step explanation:
The value represents the amplitude of the function. Therefore, the amplitude of the cosine curve function of the graph is 2.
What is the amplitude of a function?The amplitude of a function is simply the maximum point or value of the given function.
From the question, we have:
Maximum = 2
The value represents the amplitude of the function.
Therefore, the amplitude of the cosine curve function of the graph is 2.
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Pls help with thissssdd!!
Answer:
a. False
b. true
c. false
d. true
Step-by-step explanation:
what is the rule for multiplying and dividing integers
Answer:
When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Step-by-step explanation:
its easy as 1, 2, 3 lol
Answer:
When we multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When we divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.
Someone please help:)))
Answer:
y = x + 5
Step-by-step explanation:
The y values are 5 more than the x values.
slope intercept form of (4,7) and (-2,-17)
Answer:
y=24x/13+317/13
Step-by-step explanation:
please help me due soon
Answer:
- 7.2
Step-by-step explanation:
it is division and we need to take the reciprocal and multiply it will be -9/5. we need to simplify leaving us -7.2
The Swiger family recycles about 15 pounds of waste a week. This is 2/5 of the total waste a week. How many pounds of waste does the family produce each week? (Step by step explanation)
Answer: 37.5 lb/wk
Step-by-step explanation:
Let X be the total amount of waste. We are told that (2/5) of X is 15 lb/wk.
(2/5)X = 15 lb/wk
X = (5/2)*(15lb/wk)
X = (75/2) il/wk
X = 37.5 lb/wk
I’m generally not sure about how to solve this. I have more questions posted like this one if you would like to help! If anyone see’s this and would like to answer, please do as fast as possible.
Answer:
Below.
Step-by-step explanation:
First a reflection over the y-axis takes:
The point A (2, 0) to (-2, 0).
B goes to (-4,2) and C goes to (-6,0).
Then the rotation moves:
(-2,0) to A' (0, -2)
(-4, 2) to B' (-2, -4)
(-6,0) to C' (0, -6)
Select the equation that is true.
A.0.84 x 6 = 0.504
B. 0.84 x 6 = 5.04
C. 0.84 x 6 = 50.4
D. 0.84 x 6 = 504
Answer:
0.84 x 6 = 5.04
Step-by-step explanation:
5.04 is the answer.
Answer:
Answer B is correct
Step-by-step explanation:
We want to multiply 6 and 0.84
First you have to forget about decimals and multiply those two numbers
084
×6
-----------------
= 504
And then consider about the number of decimal places. According this sum you have 2 decimal places ( 0.84 )
And now you can write the answer as
= 5.04
Hope this helps you.
Let me know if you have any other questions :-)
A water park has pools, slides, and rides that, in total, make use of 8.7\times 10^{6}8.7×10 6 gallons of water. They plan to add a ride that would make use of an additional 4.8\times 10^{3}4.8×10 3 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed.
Answer:
as i said i would go with 93-51=42
Step-by-step explanation:
8.7*10.6=92.22 and 8.7*10+6=93
4.8*10.3=49.44 and 4.8*10+3=51
so i am thinking that you would add 93+51 which equals 144...
or you could try 93*51 but your gunna get 4,743
or try 93-51 which is 42
or try 93 diveded by 51 which is 1.8235294117647058
I would go with 93-51=42!
hope this helped:)
After the new attraction is constructed, the park will have used 8704.8 × 10³ total gallons of water.
What is Algebra?Algebra is the study of mathematical symbols, while logic is the manipulation of those signifiers.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS principle. To answer the problem properly and accurately, this rule must be followed.
A water park uses 8.7 × 10⁶ gallons of water in total for its pools, slides, and attractions. They intend to include a ride that will use an extra 4.8 × 10³ gallons of water.
After the new attraction is constructed, the park will have used the total gallons of water is given as,
⇒ 8.7 × 10⁶ + 4.8 × 10³
⇒ 8700 × 10³ + 4.8 × 10³
⇒ 8704.8 × 10³
After the new attraction is constructed, the park will have used 8704.8 × 10³ total gallons of water.
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Use synthetic division to solve the following: 2x^4 + 11x^3 + 13x^2 + 2x – 8 ÷ x +4
Answer:
x=-5
Step-by-step explanation:
¿Qué es la poblacion en estadistica?
Answer:
Que?
Step-by-step explanation:
I don't speak Español
(sec^2 - 1) (cse^2 -1) Show work please
what do you want us to do because we can
-solve for S
-solve for E
-solve for C
-multiply them together
-find the intercepts of any
-turn any into others
-more
I need help with puzzle #5 in the Domain and Range Digital Escape assignment, can someone help me out?
Answer:
Whether your students are working together or independently, I wanted to make some super-engaging, l math escape room activities that are both fun for students and your need to grade. These new sms are these digital math escape rooms.
please someone help. Giving brainliest!!
Answer:
I am pretty sure the answer is 3. hope this helps
Answer:
e=3
Step-by-step explanation:
[tex]7(2e-1)-11=6+6e\\14e-7-11=6e+6\\14e-18=6e+6\\8e-18=6\\8e=24\\e=3[/tex]
That is just one way to get to the answer, but basically just use pemdas, multiplying the parentheses and combining like terms. ;)
Given that lines a and b are parallel and that m∠3 = 66°, find m∠8.A)42°B)66°C)84°D)114°
Answer:
b 66
Step-by-step explanation:
Is the relation a function?why or why not?
(0,1),(5,6),(7,9)
Answer:
yes
Step-by-step explanation:
For every input (x) there is exactly one output (y).
Yes, the given relation is a function. Because, every single input is matching exactly one output.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given ordered pairs are (0,1), (5,6), (7,9).
Here, for every input (x) there is exactly one output (y).
Therefore, the given relation is a function.
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of johnny have 5 apples and gave 3 to sally how many would she have?
i need help what is the answer
Answer:
f(-5) = -5
Step-by-step explanation:
Whereas in an equation it is always, "f(x) = x + a/b/c (etc.)"
f(3) = x is 3
f(4) = x is 4
f(-5) = x is -5
Where we find where -5 is on the x-axis, it touches the graph on y = -5
Answer:70
Step-by-step explanation:
Cuz its start at 10 and its 10 20 30 40 50 60 70 so its 70
b. After how many months
will the bamboo plant
be 66 inches tall?
Explain or show your
reasoning
Answer:
Please attach a graph as your question lacks needed information
Step-by-step explanation:
Simplify the following: [1−{1−(1−x^2)^−1}^−1]^1/2
Answer:[tex](x^{2} -1)^{1/2}/x[/tex]
Step-by-step explanation:
Answer:(x2-1)
Step-by-step explanation:
what is 15% of $8.00
Answer:
15% of $8.00 is: $1.20
Step-by-step explanation:
Hope this helps :)
Pls mark as brainliest <3
0.884743701 British pounds and 1.2 US$
A cricket bat is bought for $400. Later, it is sold with a loss of 15%. How much is the cricket bat sold for? =
After selling the cricket bat, how much money has been lost? Give your answer to two decimal places because it is a currency.=
Answer:
$340.00
Step-by-step explanation:
What I like to do first is find 10% of the number.
So 10% of 400 would be $40.
Then find half (5%) of the 10% ($40), which would be $20.
Add the $40 + $20 to get $60.
Then take $400 and subtract $60,
which gives you $340.00
what is 86,503 when written in expanded form
Answer:
Eighty six thousand, five hundred and three
Step-by-step explanation:
Answer:
Expanded Notation Form:
86,503 =
80,000
+ 6,000
+ 500
+ 0
+ 3
Expanded Factors Form:
86,503 =
8 × 10,000
+ 6 × 1,000
+ 5 × 100
+ 0 × 10
+ 3 × 1
Expanded Exponential Form:
86,503 =
8 × 104
+ 6 × 103
+ 5 × 102
+ 0 × 101
+ 3 × 100
Word Form:
86,503 =
eighty-six thousand five hundred three
Step-by-step explanation:
:)
PLEASE HURRY ITS DUE IN 20 MINUTES, I’ll GIVE EXTRA EXTRA POINTS
Some people advice that in very cold weather you should keep the gas tank in your car more than half full Irenes car head 6.5 gallons in a 16 gallon tank on the coldest day of the year Irene Field tank with gas that cost $3.80 per gallon how much did Irenes spend on gas
26.60 if not
so sorry im also very small brain like u
Given f(x) and g(x)
f(x) + k, use the graph to determine the value of k.
Answer:
k =4
k is the amplitude of f(x)
how many inches would it take to cover earth?
Answer:
It would take you almost 17 days driving at 100 km/hour, 24 hours a day to ... Circumference of the Earth in inches: 1,577,727,360 inches.
Step-by-step explanation:
if there is not enough evidence to support the alternative hypothesis, we can accept the null hypothesis. true or false?
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
That is the definition of null hypothesis, when there is not enough information to support a hypothesis, we can accept a null hypothesis.
How do you get 60cm2 in question 1?
Answer:
Step-by-step explanation:
4*2=8, thats one rectangle (side)
8*2 is 16, thats TWO rectangles (sides)
7*4=28, thats one rectangle (front)
28*2=56, thats TWO rectangles (front and back)
7*2=14, thats one rectangle (top)
14*2=28, thats TWO rectangles (top and bottom)
add all of these surface areas together
TWO rectangles + TWO rectangles + TWO rectangles
28+56+16=100
As you can see, the 60cm2 is incorrect. 100cm2 is the real surface area of the shape
