Answer:
17 nickels
5 quarters
Step-by-step explanation:
Let n = no. of nickels
22 - n = no. of quarters
Each quarter is 25 cents and each nickel is 5 cents
5n = total amount of money in cents for the nickels
25(22 - n) = total amount of money in cents for the quarters
Since the total amount of money is $2.10 or 210 cents we have the equation
5n + 25(22 - n) = 210
5n + 550 - 25n = 210
-20n + 550 = 210
-20n = -340
n = 17 nickels
22 - n = 22 - 17 = 5 quarters
Now, you don't need to do all that I did. I explained in detail what is going on in this problem. All that you would need to do is write this:
let n = no. of nickels
22 - n = no. of quarters and then write the equation and solve
5n + 25(22 - n) = 210
?? OK?
The arithmetic sequence ; is defined by the a i formula : a 1 =-4910 a i =a i-1 +8 Find the sum of the first 575 terms in the sequence.
Answer:
- 1,503,050
Step-by-step explanation:
Given that the sum of arithmetic sequence =
n/2[2a + (n-1)d]
Where;
n = 575
a = -4910
d = a i - a i-1 = 8
Substituting values;
575/2 [2(-4910) + (575 -1) 8]
575/2 [(-9820) + 4592]
= - 1,503,050
1. Which is an exponential equation?
(1) y = x2
(3) y = 2x-3
(2) y =5^x
(4) y = 1/x
HELPPPPPPPPPPPPPPPPPPOPPPPPPP PLZZZ
Answer:
x^2 + 3x
Step-by-step explanation:
just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x
HURRYYY A company is introducing a new product. The equation y = –0.001(x – 600)2 + 90 predicts the expected profit, in thousands of dollars, where x represents the number of thousands of units of the product sold by the company. How many units must be sold to yield a maximum profit? 90 600 90,000 600,000
Answer:
d
Step-by-step explanation:
^u^
The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.
How to find maxima?To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.
After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.
If the double derivative got negative then it will be maxima.
Given that function
f(x) = -0.001(x-600)² + 90
By differentiation
[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90
Now equate with zero
-0.002(x - 600) + 90 = 0
x - 600 = 0
x = 600
Now checking the x at double derivative
[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.
For more about maxima
https://brainly.com/question/13995084
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A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
Circle the volume, in cm^3, of a cylinder with radius 5 cm and height 8 cm
[1 mark]
A)40π
B)80π
C)200π
D)1600π
Answer:
C
Step-by-step explanation:
Volume of a cylinder is πr²h
V = π * 5² * 8
V = π * 25 * 8
V = π * 200
V = 200π
HELP!! ILL GIVE BRAINLIEST
Answer:
The answer is 90 degrees.
Step-by-step explanation:
If you want an explination, I'm more than happy to explain.
Answer:x=90
Step-by-step explanation:
90
What is the answer using substitution X+(x-178)=676
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? a Add the equations to eliminate x. b Multiply the equations to eliminate y. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Answer:
C should be the right one
Answer:
Write the points where the graphs of the equations intersect the x-axis
Step-by-step explanation:
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3
Which expression is equivalent to 10f - 5f + 8 + 6g + 4? I’ll mark Brainliest :D
Answer:
The answer is 5f + 6g +12
Step-by-step explanation:
Answer:
5f + 6g +12
Step-by-step explanation:
Simplify the expression.
Find the distance between A and B
Answer:
27
Step-by-step explanation:
You can easily find it by counting how much line are between point and and point B
there are 27 lines (including the line on point B)
At a taffy pull, George stretched the taffy to 3 feet. Jose stretched it 1_ 1 3 times as far as George. Maria stretched it _ 2 3 as far as George. Sally stretched it _ 6 6 as far. Who stretched it the farthest? The least?
Answer:
Jose stretched the taffy the farthest and Maria stretched it the least
Step-by-step explanation:
Distance stretched by George = 3 feet
Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so
[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]
Distance stretched by Jose is [tex]4\ \text{feet}[/tex]
Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George
[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]
Maria stretched the taffy by [tex]2\ \text{feet}[/tex]
Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]
So, Jose stretched the taffy the farthest and Maria stretched it the least.
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A) $72
B) $52
C) &126
D) $108
Answer:
C. $126
Step-by-step explanation:
Let us say x is the amount of money Sky makes for babysitting 7 hours.
[tex]\frac{72}{4} =\frac{x}{7}[/tex]
[tex]\frac{72}{4} = 18[/tex]
[tex]18=\frac{x}{7}[/tex]
x=$126
Please do a step by step so that i can show work.
Answer:
See this attachment...
Find a solution to the equation 4(x + 7) = 38
Answer:
4(x+7)=38
4x+28=38
4x=38-28
4x=10
(divide by 4)
x=2whole number 2/4
=2whole number 1/2
or x=2.5
Write a complete two-column proof for following information.
Given: AB = 3y - 1, BC = 7y, AC = 29
Prove: AB = 8
Need help, due in 1 hour please!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
hope this helps lovely! <3
Someone pls help me
Answer:
2. 8x
3. (12/2)*(10/2)
Step-by-step explanation:
Which of these is a function please answer.
Answer:
1 and 3
Step-by-step explanation:
Answer:
Options 1 and 4Step-by-step explanation:
Option 1
x-values are different and y-values are sameThis is a functionOption 2
x-values are repeated (3) with different y-valuesThis is not a functionOption 3
x-values are repeated and y-values are differentThis is not a functionOption 4
x- values are different, y-values are differentThis is a functionIn degrees, what is the measure of MFE?
Answer:
30°
Step-by-step explanation:
It tells us that MFE is equal to (x + 6)° so we need to find x
The angle accross from MFE is RFT. These angles are congruent, because they are a vertical pair. So RFT is also equal to (x + 6)°
The angle RFT and PFR combined form a right angle. This means that RFT + PFR = 90°.
They told us that PFR = (3x - 4)°
so that means that (x + 6) + (3x - 4) = 90°
Knowing that we can just solve the equation by combining like terms
4x + 2 = 90
Subtract two from both sides
4x = 88
And then divide by 4
x = 22
Now we can plug in 22 in the original equation to find MFE
22 + 6 = 30
so MFE = 30°
Im having trouble with these and ive been staring at my screen for over an hour- I just need to know the answer-
Answer:
(-3, 4)
It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept
15. Marley gets on an elevator on the 30th floor of a building. She goes up 6 floors to pick up a package then goes down 14 floors for a meeting. Write and simplify an expression to show what floor Marley is now on pls help
Step-by-step explanation:
The initial level is 30.
let the upward travel be +X and downward travel be -Y.
so the expression for her current level be ,
30+X-Y = 30+6-14= 22.
22 is her current level.
3. The dollar amount d that Megan earns varies directly with the number of
hours h that she works. In her last paycheck, she earned $148.50 working
18 hours. If her next paycheck is $107.25, how many hours did she work?
Answer:
13 hours
Step-by-step explanation:
148.5/18=8.25
107.25/8.25=13
Write an equation that could be used to find the value of x using the interior angles of ∆ABD, then solve the equation.
Answer:
equation: 55 + (2x + 3) + 90 = 180
55 + 2x + 3 + 90 = 180
2x + 148 = 180
2x = 32
x = 16
Answer:
55 + 50 + 2x+3 + 2x+8 = 180
x = 16
Step-by-step explanation:
55 + 50 + 2x+3 + 2x+8 = 180
113 + 4x = 180
4x = 64
x = 16
2 3/4 +1 1/4+3 1/2 
Plz help I will give Brainlyest plz help fast
Write the expression as a single logarithm.
4logb^y + 3logb^x
Answer:
b
Step-by-step explanation:
I need help with this question
Answer:
Part A
D
Part B
76
Step-by-step explanation:
I don't know how to explain it
A. f(x) =1/2 (4,000)^x
B. f(x) = 4,000(2)^x
C. f(x) = 2,000 (1/2)^x
D. f(x) = 4,000 (1/2)^x
What is the length of AC
A 10 METER PIECE OF WIRE IS CUT IN TO TWO PIECES ONE PIECE IS 2 METERS LONGER THAN THE OTHER HOW LONG ARE THE PIECES
one piece is 2m
one is 8m