Answers
Answer:
Step 1: Variables are q for quarters and d for dimes. So d = dimes and q = quarters
Step 2: The two equations that form a system of equations are:
[tex]\left \{ {{0.1d+.25q=3.70} \atop {d+q=19}} \right.[/tex]
Step 3: Work is shown on the attachment and on the step-by-step explanation
Step 4: Given the context of the problem, the solution of the amount of dimes and quarters, which is 7 dimes and 12 quarters, is needed to satisfy both systems to concur that there was 7 dimes and 12 quarters in a sum of money that amounted to $3.70 with 19 coins in total.
Step-by-step explanation:
Step 1: To first attempt to solve this, we must have to set up two variables for the amount of value a quarter and a dime has. So since a quarter is worth 0.25¢ in and a dime is worth 0.10¢, then we can set up one of the equations to be:
[tex]0.1d + .25q = 3.70[/tex]
And we set it to equal the $3.70 because that's the amount that the sum of money totals to.
Step 2: Now to get the other side of the equation, we use the variables again, d and q and set that to equal 19 because that is the amount of coins that there is in total.
Step 3: Now that we have both equations, we can solve the problem now.
[tex]\left \{ {{0.1d+.25q=3.70} \atop {d+q=19}} \right.[/tex]
Let's first solve this equation by setting one of the side's variables the same absolute value, but not the same integer value so that we can cross it off. I will choose the equation [tex]d+q=19[/tex] to be multiplied by -.1 so that we can cross off both 0.1d and -0.1d after the result of the multiplication:
[tex]\left \{ {{0.1d+.25q=3.70} \atop {-.1d+-.1q=-1.9}} \right.[/tex]
Now, lets cross off everything that we can, and add up the variables together. This includes adding .25q + (-.1q) and adding 3.70 + -1.9.
Now we have:
[tex]\left \{ {{.25q=3.70} \atop {-.1q=-1.9}} \right.[/tex]
Now, what we do from here is add the left side and the right side side to get one equation, which is:
[tex].15q=1.8[/tex]
Finally, we divide both sides to get q=12, which means that there are 12 quarters. Since there are 19 coins in total, we can subtract 12 from 9 to get the remaining amount of dimes, which is 7.
In conclusion, q=12 and d=7.
My written work is also provided in the attachment!!!
Step 4: What does this mean in the context of the question?
This basically means that the solution of the amount of dimes and quarters, which is 7 dimes and 12 quarters, is needed to satisfy both systems to concur that there was 7 dimes and 12 quarters in a sum of money that amounted to $3.70 with 19 coins in total.
In simpler terms, this means that we need 7 dimes and 12 quarters to satisfy that there was a sum of money that amounted to $3.70 with 19 coins in total .
Related Questions
The roman-parthian wars began in 66 BC and ended in 217 AD. how many years did this conflict last?
Answers
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are 148, 102, 15zs2. What is the average of the extracted scores that are extreme values (outliers)
Answers
Answer:
Solution:
The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.
To find : average of the extracted scores that are the extreme values (outliers)
The average marks of candidates in an aptitude test was 128.5
=> Mean = 128.5
Standard Deviation = 8.2
outlier will be out sides then range Mean ± 3* SD
128.5 ± 8.2 × 3
= 128.5 ± 24.6
Range is ( 103.9 , 153.1)
102 is outside this range
Hence outlier would be 102I need the answer since I’m plain dumb. Ty
Answers
Answer:
A and B
Step-by-step explanation:
The "zeros" of the quadratic equation simply refers to what x equals when q(x) = 0.
Set the equation equal to zero as so: 0 = x^2 - 9, and solve!
9 = x^2
+/- 3 = x, when q(x) = 0.
This means that the two points you are trying to find are (-3, 0) and (3, 0)!
Difference of squares: What is x^2-9=0?
please help me....
Answers
Answer:
3 or -3
Step-by-step explanation:
You need to factor it to be able to find the solution.
x^2-9=0
(x+3)(x-3)=0 You now need to find 'each' zero, because if one parenthesis equals 0, then you are multiplying the rest of the equation by 0 which will equal 0.
x+3=0 Subtract three
x= -3
x-3=0 Add three
x= 3
x^2-9 will equal 0 when x is either +3 or -3
Answer:
x=3 x=-3
Step-by-step explanation:
x^2-9=0
We know this is the difference of squares
a^2 - b^2 = (a-b) (a+b)
(x-3)(x+3) =0
Using the zero product property
x-3 =0 x+3 =0
x=3 x=-3
The expresssion is also equivalent to the cost of the item? c-0.25 c which expression is also equivalent to the cost of the item? 1-0.25c 0.25c 0.75c 1-0.75c
Answers
Answer:
0.75c
Step-by-step explanation:
If we have an expression as:
a*x + b*x
We can see that both terms in the expression, a*x and b*x have an x, so we can call the x a common factor and we can write an equivalent expression as:
a*x + b*x = (a + b)*x
If we replace, for example, a by 2, b by 3 and x by 4, we can test the expression as:
2*4 + 3*4 = (2 + 3)*4
8 + 12 = (5)*4
20 = 20
Therefore, if we have the following expression:
c - 0.25*c
The expression that is equivalent is 0.75c and it is calculated as:
c - 0.25*c = (1 - 0.25)*c
c - 0.25*c = 0.75*c
Can someone help me with this please
Answers
Answer:
Here you go
Step-by-step explanation:
A) 3x
B) -2p + 9
C) 13+6w
D) 2(5d + 3c +1)
E) 2(4g - 3)
F) 11a
Answer:
a. 3x
b. -2p+9
c. 6w+13
d. 6c+10d+2
e. 2(4g-3)
d. 11a
Step-by-step explanation:
Irwin purchased a $195,000 home with a 30-year mortgage at 5.55%. If makes a $1500 monthly mortgage payment, how many months early will he pay off his mortgage?
Answers
Answer:
160 months
Step-by-step explanation:
just took that ap3x quiz yerrr
please graph this for me.
Answers
Answer:
As shown in attached file:
green is f(x) = -3 if -2 <= x <= -1
red is f(x) = -2 if -1 <= x <= 0
blue is f(x) = -1 if 0 <= x <= 1
Hope this helps!
:)
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression. Pls answer fast I'm taking a test!!
Answers
Answer:
7
Step-by-step explanation:
OMG PLEASE Help me !!!! ILL GIVE YOU BRAINLIEST !!! Explain in order to get it
Answers
Answer:
I'm not sure but I believe the correct answer is line L2.
Step-by-step explanation:
It seems to be closer to more points than the other lines.
If it is not L2, it must be L3.
x/2−5=−12
I need to know how to get the answer to X
Answers
X/2 = -7
X = -14
Answer:
x=-14
Step-by-step explanation:
first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D
unless, it is [tex]\frac{x}{2-5}[/tex]=-12 if so than the answer would be 36
HELPPP IM SOOO STUCKK PLEASE!
Answers
Answer:
60% that his or her drink will be a medium.
Step-by-step explanation:
Total amount orders = 5 + 48 + 22 +8 +12 +5
= 100
48 + 12 = 60 (medium orders)
60 out of 100 = 60%
Therefore it is 60%
find whether the given numbers are perfect square or not {step by step}
a.1057
b.23453
c.2304
d.1057
Answers
Answer:
a. 1057 is not a perfect square
b. 23453 is not a perfect square
c. 2304 is a perfect square
d. 1057 is not a perfect square
Step-by-step explanation:
A perfect square is a number x where the square root of x is a number a such that a² = x and a is an integer. For example, 4, 9 and 16 are perfect squares since their square roots, 2, 3 and 4, respectively, are integers.
Find the surface area and volume of the figure.
Answers
Answer:
Surface area: 310.86 sq ft
Step-by-step explanation:
First, find the surface area of the cylinder. This can be found by finding the area of the circle at its base, and then the area of its mid-region.
The area of the circle can be found using the formula: a = pi(r^2). r stands for radius, which is 3 in this problem. 3^2 equals 9, which, multiplied by pi (3.14), equals 28.26.
The area of the cylinder's mid-region is equal to the circumference of the circle multiplied by the height of the cylinder. The circumference of the circle is equal to c = 2pi(r), or in this case: 18.84. Now, multiply this value by the height to get 226.08 as the area of the mid-region.
Lastly, find the surface area of the sphere. This can be found using the equation a =4πr^2. r is, again, radius, which in this problem can be represented by 3. The surface area of a sphere with a radius of 3 is 113.04. However, this figure only shows half a sphere, which can be found by dividing 113.04 in half. This gets you 56.52.
Now, simply add all the areas together to get the total surface area!
Plz Help! School is over tommorow and this is last thing I got to do.
Answers
Answer:
C
Step-by-step explanation:
can i get brainleist plz
Answer:
The first choice
Step-by-step explanation:
When the question says 6 hours or less, then you would use this sign ≤.
The answer choices are easy to cross out because there's only one answer choice that matches the question and that is letter choice A.
8x goes with ≤ 6 and 12x goes with the number that is greater than 6. So, your answer choice is A.
Kendall is designing a backyard garden. She makes a scale drawing of the garden where 3 inches is equivalent to 2 feet in the garden. The fence is rectangular in shape and is 21 inches long by 9 inches wide in the scale drawing. Use this information to determine the actual length and width of the fence in Kendall's garden.
Answers
Answer:
length = 14 feet width = 6 feet
Step-by-step explanation:
you can use rational fractions so...
3/2=21/x x=14
3/2=9/x x=6
the x will convert inches to feet
Ratnam hired a car from a car renting agency which charges a flat amount of Rs. x for travelling up to 50 kilometres and Rs. y per km for every kilometer travelled thereafter. How much should Ratnam pay the agency for a journey of 70 kilometres?
a x + 70y
b x +20y
c 50x +20y
d 50 + 2y
Answers
Answer:
Correct option: b -> x + 20y
Step-by-step explanation:
From the first 50 kilometers, the price is a flat amount of x, and for the kilometers travelled thereafter, the price is y per kilometer.
If Ratnam travelled 70 kilometers, he needs to pay 'x' because of the first 50 kilometers, and (70 - 50) = 20 times y for the rest of the travel.
So the final price is:
x + 20y
Correct option: b
The correct option is b x + 20y
Given that,
Ratnam hired a car from a car renting agency which charges a flat amount of Rs. x for travelling up to 50 kilometres and Rs. y per km for every kilometer travelled thereafter.Based on the above information, the equation is as follows:
x + (70 - 50)y
x + 20y
Learn more: https://brainly.com/question/24908711?referrer=searchResults
28t = 448 solve for t
Answers
Answer:
t = 16
Step-by-step explanation:
if you do 448 divided by 28 you get 16.
if you do 28 x 16 you get 448
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answers
Formula for a quarter circle's perimeter: C = ((pi x 2 x radius) / 4) + r + r
17.85 = ((3.14 x 2 x r) / 4) + 2r
17.85 = (6.28r / 4) + 2r
17.85 = 1.57r + 2r
17.85 = 3.57r
r = 5 meters
Hope this helps! :)
you roll a 6 sided die what is p(greater than 4)
Answers
Answer:
hey i think its 5 what do u think please folow me
x/2−5=−12
I need to know how to get the answer to what X is
Answers
Answer:
-14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x/2-5=-12
1/2x+-5=-12
1/2x-5=-12
Step 2: Add 5 to both sides.
1/2x-5+5=-12+5
1/2x=-7
Step 3: Multiply both sides by 2.
2*(1/2x)=(2)*(-7)
x=-14
Answer:
-14
Step-by-step explanation:
x/2 = -12 + 5 << add both sides by 5
x/2 = -7 << Combine -12 + 5
x = -14 << Multiply both sides by 2
This revolves around the idea of inverse operations
To get x by itself we needed to bring the other numbers to the other side of the equation.
Inverse operations is bring the numbers to the other side by doing the opposite operation it shows.
ex: if the number is +5 on one side, it will be -5 on the other
Hope this helps!
If you don't understand, please feel free to comment and let me know!
Have a great day!
Which is the graph of a quadratic equation that has a negative discriminant?
Answers
Answer:
Here's what I get
Step-by-step explanation:
The formula for a quadratic equation is
ax² + bx + c = 0
The quadratic formula gives the roots:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]
D is the discriminant.
It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.
[tex]D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}[/tex]
It doesn't matter if the graph opens upwards or downwards.
If D > 0, the graph crosses the x-axis at two points.
If D = 0, the graph touches the x-axis at one point.
If D < 0, the graph never reaches the x-axis.
Your graph must look like one of the two graphs on the right in the Figure below.
Answer:
GRAPH D
Step-by-step explanation:
ENG 2021(:
Solve for x can someone please answer please
Answers
Answer:
the triangles are in AA similarity.
Step-by-step explanation:
CB/DE = AB/AD
3/11 = x/9
cross multiply to get;
x = 2.45
Find the surface area. Use 3.14 for pie
Answers
Answer:
3,165.12 square meters
Step-by-step explanation:
To find the surface area of a cylinder, first separate the shapes you must find the area of. In this case, you need to find the areas of two circles and one rectangle (the height).
The two circles can be found using the equation: a = pi(r^2). r means radius!
12 squared is 144, which, multiplied by pi, is 452.16 square units. Because there are two circles, you can multiply this area by two to get the area of both: 904.32.
The rectangle can be found by multiplying the circumference of the circle by the height of the cylinder. The circumference can be found with the equation: c = 2pi(r). The circumference of this cylinder's base is 75.36, which, multiplied by the height of the cylinder, is 2,260.8.
Now that you have both the area of the circles and the side, you can add them both together and get the surface area.
what is −n+(−4)−(−4n)+6
Answers
Answer:
3n + 2
Step-by-step explanation:
I can't figure this question out can I please have help with this question please
Answers
Which of the following is equivalent to 7-2(x + 2) <-4 - 3(1 - x)?
Answers
Answer:
2 < x
Step-by-step explanation:
7-2(x + 2) <-4 - 3(1 - x)
Distribute
7 - 2x-4 < -4 -3 +3x
Combine like terms
3 -2x < -7+3x
Add 2x to each side
3 -2x+2x< -7+3x+2x
3 < -7+5x
Add 7 to each side
3+7 < -7+7+5x
10 < 5x
Divide each side by 5
10/ 5 < 5x/5
2 < x
A cylinder has a radius of 6 inches and height of 3 and 3/4 inches. A sphere has a radius of 6 inches. What is the difference between the volume, to the nearest tenth of a cubic inch of the cylinder and sphere
Answers
Answer:
Difference = 480.9 in³
Step-by-step explanation:
Given
Cylinder;
Height, h = 3¾ inches
Radius, r₁ = 6 inches
Sphere
Radius, r₂ = 6 inches
The volume of a cylinder is calculated as thus
Volume, V₁ = πr₁²h
The volume of a sphere is calculated as this
Volume, V₂ = 4/3 πr₂³
Calculating the volume of the cylinder
V₁ = πr₁²h becomes
V₁ = π * 6² * 3¾
V₁ = π * 36 * 3¾
V₁ = π * 36 * 15/4
V₁ = π * 540/4
V₁ = π * 135
V₁ = 135π in³
Calculating the volume of the sphere
V₂ = 4/3 πr₂³ becomes
V₂ = 4/3 * π * 6³
V₂ = 4/3 * π * 216
V₂ = 864/3 * π
V₂ = 288π in³
The difference between the volume is calculated as thus.
Difference = V₂ - V₁
Difference = 288π - 135π
Difference = 153π
Take π as 22/7
Difference = 153 * 22/7
Difference = 480.9 in³ (Approximated)
A jar contains 5 popsicle sticks, numbered 1-5. A stick is drawn, then a letter in the word SPRING is chosen at random. What is the probability the number is greater than 2, then P?
Answers
Answer:
10% probability that the number is greater than 2, then P
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Event A: Number greater than 2.
Event B: Letter P.
These events are independent, so:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
P(A)
There are 5 numbers.
3, 4 or 5, that is, 3 numbers greater than 2.
3/5 = 0.6. So P(A) = 0.6.
P(B)
6 letters, one of which is P. So
P(B) = 1/6 = 0.1667.
What is the probability the number is greater than 2, then P?
[tex]P(A \cap B) = P(A) \times P(B) = 0.6 \times 0.1667 = 0.1[/tex]
10% probability that the number is greater than 2, then P
In a certain city with a working population of 10,500 , 8925 people and less than $75,000 per year what is a percentile rank of someone who earns $75,000 per year
Answers
Answer:
The percentile rank of someone who earns $75,000 per year is the 85th percentile.
Step-by-step explanation:
Meaning of percentile:
When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.
In this question:
Working population of 10,500
8,925 people earn less than $75,000 per year.
8925/10500 = 0.85
0.85*100 = 85
The percentile rank of someone who earns $75,000 per year is the 85th percentile.