9514 1404 393
Answer:
340 quarters1020 dimes1031 nickels2062 penniesStep-by-step explanation:
x is the number of quarters
__
a) d = 3x . . . . . . the number of dimes is 3 times the number of quarters
b) n = d + 11 = 3x +11 . . . . there are 11 more nickels than dimes
c) p = 2n = 2(3x +11) = 6x +22 . . . . there are twice as many pennies as nickels
d) The total number of coins is ...
x + d + n + p = 4453
x + (3x) +(3x +11) +(6x +22) = 4453
13x +33 = 4453
13x = 4420
x = 4420/13 = 340 . . . . number of quarters collected
3x = 1020 . . . . . . . . . . . .number of dimes collected
1020 +11 = 1031 . . . . . . . number of nickels collected
2·1031 = 2062 . . . . . . . . number of pennies collected
There were 340 quarters, 1020 dimes, 1031 nickels, and 2062 pennies collected.
_____
Check
340 +1020 +1031 +2062 = 4453 . . . as required
Helppp plz!
Find y to the nearest hundredths place.
Answer:
B) 2.27
Step-by-step explanation:
Height = 2×Area /m = 2.27444. Then round down, as 4 is less than 5.
Volume! please help will give brainiest
Tysm!!! please add reasoning if possible
Answer:
volume = base area * height
Step-by-step explanation:
[tex]1 \div 2 \times 6 \times 5 \times 11.5 =172.5in3[/tex]
Find the slope of the line containing the given pair of points. If the slope is undefined, state this. (-8,0) and (4,0)
Answer:
The slope is 0
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-8,0)[/tex]
[tex](x_2,y_2) = (4,0)[/tex]
Required
The slope (m)
This is calculated as"
[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]
[tex]m=\frac{0-0}{4 -(-8)}[/tex]
[tex]m=0[/tex]
The slope is 0
Multiply and then simplify completely: ( 8 + √ 10 ) ( 8 − √ 10 )
Answer:
54.
Step-by-step explanation:
( 8 + √ 10 ) ( 8 − √10)
= 8*8 - 8√10 + 8√10 +√10 * -√10
= 64 - 8√10 + 8√10 - 10
The 2 middle turns cancel out so we have:
64 - 10
= 54.
Divide the given polynomial by the given monomial.
Answer:
Looks like all of your questions have been answered.
six times 4 less than three times x
Answer:
6 (3x-4)
Step-by-step explanation:
putting the words together. Pls trust me
Answer: 18x - 24
In equation form this would be 6(3x-4) then distribute.
Step-by-step explanation:
Cos Milky said it. Milky smart.
Red gold has 3 parts gold and one part copper how much carat gold it will be
Answer: 0.75 ×24 carat = 18 carat
Step-by-step explanation:
24 carat is 100% pure gold. If there is 3/4 parts of gold it is 75 % = 0.75
Solve for x: 8x = 2/3
solve for x: 1/4x =5
two questions
Answer: x=5
x= 2
Step-by-step explanation:
Please help me with this question
Step-by-step explanation:
[tex] { ({y}^{2} )}^{4} . \: {( {y}^{3}) }^{2} [/tex]
Since,
[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]
Hence,
[tex] {y}^{2 \times 4} . {y}^{3 \times 2} [/tex]
[tex] = {y}^{8} . {y}^{6} [/tex]
Since,
[tex] {a}^{x} . {a}^{y} = {a}^{x + y} [/tex]
Hence,
[tex] = {y}^{8 + 6} [/tex]
[tex] = {y}^{14} (ans)[/tex]
Ellen ordered some books online. Each book cost $13 and there is a $20 shipping fee.
Which expression represents the situation?
A 7n
B) 13n + 20
C) 33n
D) 20n + 13
Answer:
Step-by-step explanation:
the correct expression is B
13*n+20
where n represents the number of the books
what is (2+4i)(-3-3i)
Answer:
6-18i
Step-by-step explanation:
You solve each one and this is basically simplifying the question
(2+4i)=6
(-3-3i)=-6
A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9,0). What are
the equations of the directrices?
x = +
Answer:
Step-by-step explanation:
x²/a² - y²/b² = 1
center (0,0)
vertex (3,0), so a = 3
focus (9,0)
e = 9/a = 3
directrices: x = ±a/e = ±1
The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
What is the general equation of hyperbola?The general equation of the hyperbola is in the form of
x²/a² - y²/b² = 1
We have been given center (0,0)
vertex (3,0),
so a = 3
focus (9,0)
So, e = 9/a = 3
The equation of directrices:
x = ±a/e = ±1
Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
Learn more about hyperbola here:
brainly.com/question/4148030
#SPJ2
Expand and simplify (x-3)(x+5)
Answer:
^2 + 2x-15
Hope this helps
5 books cost $15. How much do 7 books cost?
Please help!! Needed ASAP!!
Answer and Explanation:
If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.
When a graph doesn't start at 0, it means that the graphs before it is not shown.
For number 4, I'd suggest Graph 3.
For number 3, I'd suggest graph 1.
For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."
I hoped this helped.
What value from the set {5, 8, 21, 33} makes x - y = 2^3 true if y = 13?
Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Answer:
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.
What are Natural numbers?Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.
Let the first number(bigger number) be 'a', and the smaller number be b.
As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,
a = b + 4
Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,
[tex]ab = 3(b^2)\\[/tex]
As the value of a = b+4, substitute the value of a,
[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]
Thus, the value of b is 2.
In order to get 'a' add 4 to the value of b, therefore, the value of a is,
[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]
Hence, the two natural numbers are 4 and 6.
Learn more about Natural numbers:
https://brainly.com/question/17429689
provided
What is the value of 2 in the equation 60x = 360x
Factorise the following.
Answer:
(iii). (l-m+n)×(l+m-n)
(vi). (-a+5b)×(5a-b
72°
Х
X=
degrees.
please help
Answer:
18° lol it's too easy
Step-by-step explanation:
180-(90+72)
=180-162
=18°
Answer:
18 Degree
Step-by-step explanation:
all triangles the inside angle sum is 180 degree
so
72+90+x=180
162+x = 180
x= 180-162
x=18 degreeWhich postulate proves these two
triangles are congruent?
Answer:
D-"HL"
Step-by-step explanation:
HL- This theory states that the hypothenus and one base angle is eual and in this case its true!!
I hope im right!!
Consider the figure shown below. What is the value of the angle x?
x = _______ degree.
Find the equation of this line.
Simplify the fractions.
Answer:
Step-by-step explanation:
Where's the line?
WILL GIVE BRAINLIEST
If there are 2 boys and 3 girls in a group. What is the ratio of girls to boys? Express the ratio in 3 different ways. ( Place commas in between each way )
Answer:
2 to 3, 4 to 6, 8 to twelve
Step-by-step explanation:
the boys are first, girls second
Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too
Step-by-step explanation:
Please help answer this question!!
Answer:
The answer of this question is 265 feet.
What is the minimum number of fish in the pond? (Hint: You caught 100 fish both days, but you caught 3 of the same fish twice.)
Answer:
197
Step-by-step explanation:
So, if you catch 100 fish on both days, that means that you have caught 200 fish. 100 on one day and 100 on the next. But, since you've caught 3 fish twice, that means that three out of 200 fish are the same and cannot be counted as new fish. So 3 from 200 is 197 fish. Hope this helped!
Day 1: 100 (3 tagged)
Day 2: 97 (3 tagged)
100+97=197
or
Day 1: 100 (3 tagged)
Day 2: 100 (3 tagged)
100+100= 200
200-3=197
Answer, 197 fish.
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A...
Answer:
Step-by-step explanation:
Answer all of these please
1.The product of a number and seven more than the number
2.The product of a number and seven less than the number
3.Eight less than twice a number is fourteen.
4.One less than three times a number is seven.
5. Four more than five times a number is two less than the number.
6.Ten less than a number is three more than six times the number.
7.Twice the sum of a number and 3 is 20.
Answer: 3. 22-8 / 4. 2x3.5 / 5.
Step-by-step explanation:
Step-by-step explanation:
1. 1×8=8
2. 9×2=18
3. 8+14=22÷2=11
4. 2.7
5. -1.5
6. closest -2.5
7.÷2=10-3=7
Please guys, can someone help me out?
Which of the following are compound events in which the results of one event affect the likelihood of the other event? PLZ HELP ASAP
Answers: 1. independent events
2. dependent events
3. theoretical events
4. fair events
Answer:
2. Dependent events
Step-by-step explanation: