Answer:
Ryan has 10 pennies and 13 nickels.
Step-by-step explanation:
Let the number of pennies be p and the number of nickels be n.
We have two unknowns, the number of pennies and the number of nickels, so we need two equations. One equation will deal with the value of the coins. The other equation will deal with the number of coins.
Value of coins:
1 penny is worth $0.01; p pennies are worth 0.01p.
1 nickel is worth $0.05; n nickels are worth 0.05n.
The total amount the coins are worth is
0.01p + 0.05n
The coins are worth $0.75, so we have our first equation.
0.01p + 0.05n = 0.75 Equation 1
Number of coins:
He has p pennies.
The number of nickels is 3 more than the number of pennies.
Since the number of pennies is p, then the number of nickels is p + 3.
That gives us our second equation.
n = p + 3 Equation 2
System of equations:
Now we have a system of two equations in two unknowns:
0.01p + 0.05n = 0.75
n = p + 3
Since the second equation is already solved for n, we can use the substitution method.
Replace n in the first equation with p + 3.
0.01p + 0.05n = 0.75
0.01p + 0.05(p + 3) = 0.75
Distribute the 0.05
0.01p + 0.05p + 0.15 = 0.75
Combine like terms on the left side.
0.06p + 0.15 = 0.75
Subtract 0.15 from both sides.
0.06p = 0.6
Divide both sides by 0.06.
p = 0.6/0.06
p = 10
Now we substitute 10 for p in the second equation to find the value of n.
n = p + 3
n = 10 + 3
n = 13
He has 10 pennies and 13 nickels.
Check:
A) 13 - 10 = 3 He does have 3 more nickels than pennies.
B) $0.01(10) + $0.05(13) = $0.10 + $0.65 = $0.75
The number of coins and the value of the coins both check out, so our answer is correct.
Answer: Ryan has 10 pennies and 13 nickels.
Liliana and Marcus are playing a word game. Liliana spells a word incorrectly and loses 18 points. Then Marcus
spells a word correctly and has the opposite score. Which is the correct way to represent the opposite of
Liliana's score is equal to Marcus's score"?
0 -18-18
O-(-18) --18
-(18) --18
-(-18) - 18
Answer:
D) -(-18)= -18
Explanation:
Did the quiz, and got it right
Answer:
D
Step-by-step explanation:
A simple random sample of size n=53 is obtained from a population with μ=53 and σ=7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x?
Answer:
No, because the Central Limit Theorem posits that regardless of the shape of the underlying population, the sampling distribution of bar x becomes approximately normal as the sample size (n) increases.
The sampling distribution of x is;
[tex]\mu_{\overline x} = \mu = 53[/tex]
Step-by-step explanation:
Given that:
The sample size n = 53
The population mean μ = 53
The standard deviation σ = 7
The sampling distribution of x is;
[tex]\mu_{\overline x} = \mu = 53[/tex]
Sampling distribution of the standard deviation is:
[tex]\sigma _x =\dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]\sigma _x =\dfrac{7}{\sqrt{53}}[/tex]
[tex]\sigma _x =\dfrac{7}{7.28}[/tex]
[tex]\sigma _x =0.96[/tex]
What is the value of x?
O 2 units
O 3 units
O 5 units
08 units
Answer:
The value of x is 5 units ⇒ C
Step-by-step explanation:
In the given figure
∵ Δ ABC is a right triangle at vertex B
∵ AC is its hypotenuse
∵ BD ⊥ AC
∴ (BD)² = AD × DC
∵ BD = 10 units
∵ AD = x units
∵ DC = 4x units
→ Substitute them in the rule above
∴ (10)² = x × 4x
∴ 100 = 4x²
→ Divide both sides by 4
∵ [tex]\frac{100}{4}[/tex] = [tex]\frac{4x^{2}}{4}[/tex]
∴ 25 = x²
→ Take √ for both sides
∴ 5 = x
∴ The value of x is 5 units
100 points and Brainliest to the nicest person eheehhehehehehehehe
Answer:
Awe thank you so very much for the points. That was very generous of you.
Step-by-step explanation:
Hope you have an amazing Happy Thanksgiving .
Have a great rest of your day.
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
The equation, 3x2 + 6x + 3y2 + 7y + 4 = 0, represents a conic.
The conic represented by the equation is alan
v because
Answer:
Circle - A=C
Step-by-step explanation:
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
Equation of a circleThe standard equation of a circle is expressed as [tex]x^2+y^2+2gx+2fy+C=0[/tex]Given the equation of the circle [tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0[/tex]
Rearrange the equation
[tex]3x^2 + 6x + 3y^2 + 7y + 4 = 0\\ 3x^2 + 3y^2 + 6x +7y + 4 = 0[/tex]
The equation is a circle because the ratio of [tex]x^2 \ and \ y^2[/tex] must be equal,
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A projectile is fired over horizontal ground from the origin with an initial speed of 60 m/s. What firing angles will produce a range of 300 m?
Answer:
[tex]54.75^\circ[/tex]
Step-by-step explanation:
Formula for horizontal distance or range is given as:
[tex]s=\dfrac{2v_i^2sin\theta cos\theta}{g}[/tex]
Where
[tex]v_i[/tex] is the initial velocity
[tex]\theta[/tex] is the angle with horizontal at which the projectile was thrown
[tex]g[/tex] is the acceleration due to gravity.
Given,
Initial velocity, [tex]v_i[/tex] = 60 m/s
Range, [tex]s[/tex] = 300 m
To find: [tex]\theta = ?[/tex]
Solution:
Using the formula as stated above:
[tex]300=\dfrac{2\times 60^2sin\theta cos\theta}{9.8}\\\Rightarrow 2sin\theta cos\theta =\dfrac{300\times 9.8}{3600}\\\Rightarrow sin2\theta =0.81666\\\Rightarrow \theta \approx \bold{54.75^\circ}[/tex]
Firing angle [tex]54.75^\circ[/tex] will produce a range of 300 m.
Find the measure of the missing angles. One of them is wrong I’m not sure which one. (Picture included)
bruhh im having the same fking problems like jesus christ!!!!
{letters used in the word 'mathematics'}
m a t h e m a t i c s
Answer: m a t h e I c s
Step-by-step explanation:
Those are all of the letters
intro helpe fast I need help
Ellen reads an average of 33 pages per day from Monday through Friday and an average of 68 pages per day on the weekend. For each week, what is the average number of pages that Ellen reads per day?
Answer:
Ellen reads an average of 43 pages per day.
Step-by-step explanation:
33 × 5 = 165
68 × 2 = 136
165 + 136 = 301
301 ÷ 7 = 43
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEE
The graph shows the amount of money possible to make when charging a certain amount for tutoring. The x values represent the price of an hour of tutoring and the y values represent the total profit. What are the zeros of the function? What do they represent
Answer:
It represents no total profit
Step-by-step explanation:
The zeros are the initial point represent how have not yet started the hour of tutoring which means no total profit.(0,0)
Find the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope
Answer:
Slope intercept equation would be: x - 3 = 0
Step-by-step explanation:
[tex]slope \: (m) = undefined = \frac{1}{0} \\ \\ \because \: line \: passes \: through \: the \: \\ point (3, \: - 1) = ( x_{1}, \: y_{1}) \\ \\ equation \: of \: line \: line \: in \: \\ point \: slope \: form \: is : \\ \\ y - y_{1} = m(x - x_{1}) \\ \\ y - ( - 1) = \frac{1}{0} (x - 3) \\ \\ y + 1 = \frac{1}{0} (x - 3)\\ \\ 0(y + 1) = (x - 3) \\ \\ 0 = x - 3 \\ \\ x = 3[/tex]
x=3 is the slope-intercept equation of the line that passes through (3,-1) and has an undefined slope.
If a line has an undefined slope, it means the line is vertical.
A vertical line has the equation of the form x = c, where c is a constant representing the x-coordinate of any point on the line.
The line passes through the point (3, -1), so the x-coordinate of any point on the line is 3.
Therefore, the equation of the line is x = 3.
If the slope-intercept form of a line (y = mx + b), it's not possible for a vertical line because it doesn't have a slope.
The slope-intercept form assumes a non-vertical line.
Hence, the equation of the line passing through (3, -1) with an undefined slope is simply x = 3.
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The diameter of the circle is 6 what’s the circumference
Answer:
If the diameter of a circle is 6 your answer is 18.85
Step-by-step explanation:
Answer:
18.84
Step-by-step explanation:
2πr = CRadius: D ÷ 2 = 6 ÷ 2 = 3Plug 3 into the formula: 2π32π = 2 × 3.14 = 6.286.28 × 3 = 18.84I hope this helps!
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
Answer:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
Step-by-step explanation:
have a nice day!!!
what the heck, none of this makes sense to me
Answer:
45
Step-by-step explanation:
4 mi = ___ ft
answer please!!
Answer:
21120
Step-by-step explanation:
1 mile = 5280 feet
5280 feet * 4 = 21120
(Ill give brainliest :) )
Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1) A and C
2) D and B
3) A and B
4) C and D
Answer:
A and C
Step-by-step explanation:
A.¼×6766=1691.5
B.6×6766=40,596
C.½×6766=3383
D.1×6766=6766
DOOGGGGGGGGGGGGGGGGYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Answer:
AWW CUTEEE!
Step-by-step explanation:
Is he/she yours? They are adorable :)
A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
Answer:
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.
Step-by-step explanation:
im built different
help plz this hard i really need help
With all questions???
if f(x)=5x, what is f^-1(x)?
60x32 distribute 32 as 30+2 and solve, please! I really need help.
Answer:
1920
Step-by-step explanation:
First off, set 32 into standard form which is 30 + 2.
Secondly, multiply 30 x 60 and you get 1800
Thirdly, multiply 2 x 60 and you get 120
Lastly, add 1800 and 120 and you get 1920.
If you want it in a equation you can do 30 x 60 + 2 x 60 or (30+2) x 60.
-Cheers, Galaxy
After solving, this is written in the form of an equation which goes like this: 30 x 60 + 2 x 60 or (30+2) x 60.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.
Firstly, set 32 in standard form, that is :- 30 + 2.
Then, multiply 30 x 60 = 1800
Thirdly, multiply 2 x 60 = 120
Finally, add 1800 by 120 to get 1920.
You can accomplish it if you want it in an equation,
30 x 60 + 2 x 60 or (30+2) x 60.
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At an archeological site, the remains of two ancient step pyramids are congruent. If ABCD= EFGH find EF
Answer:
EF = 44 ft
Step-by-step explanation:
Given that ABCD is congruent to EFGH, it follows that their corresponding lengths and angles would be congruent to each other.
This means, for the sides:
AB = EF,
BC = FG,
CD = GH
AD = EH.
Therefore, if AB = 44 ft, corresponding side, EF = 44 ft
Answer:PLEASE CONTACT ME I NEED A QUIZ U HAD
Step-by-step explanation:
Question 15 (2 points)
Which of the following scenarios will most negatively impact a credit score? (2 points)
A. keeping only one type of credit
B. applying for many different credit cards
C. keeping a high balance on credit cards
D. having a short credit history
What is the equation of the line of best fit that Mel drew?
Answer: the answer is y = 2/3x + 6
Step-by-step explanation: answer
The correct answer for the best line of fit is y = 2/3x + 6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
In the scatter point it shows that the starting y-intercept is 6 and two of the options have a y-intercept of 15.
We have a picture of the line of fit if it has a slope of 1/3.
The 2/3 is the slope and 6 is the y intercept.
We know that Line of best of fit of the line shown in the scatter plot can be found by finding the slope (m) and the y-intercept (b) of the line then substituting each value into y = mx + b.
So, the correct answer is y = 2/3x + 6
Learn more about equations here;
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The price of a television was reduced from $250 to $200. What was the percent of decrease?
Answer:
25&
Step-by-step explanation:
Answer:
20% should be the answer
5) reflection across the x-axis
Answer:
t(2,-2),C(2,-5),z(5,-4),f(5,0)
Step-by-step explanation:
because it reflects across the x-axis the y changes to the opposite.
Which of the ratios below is equivalent to 3:5? Select all that apply.
A) 6:10
B) 9:11
C) 9:15
D) 15:25
E) 15:9
Answer:
a, c, d all applies
Step-by-step explanation:
whats 2+9 if right you get brainly crown
Answer:
11
Step-by-step explanation:
2+9=11
2+1=3
2+2=4
2+3=5
2+4=6
2+5=7
2+6=8
2+7=9
2+8=10
2+9=11
2. How is a compound different from a molecule?
Answer: A compound is a substance that is made up of two or more elements that have a chemical bond with each other a molecule is the smallest part of a compound
