Note: Consider we need to find each type of coins he has.
Given:
Erin has quarters and nickels for a total of 16 coins.
The value of his coins is $2.60.
To find:
The number of each type of coins.
Solution:
Let x represent the number of quarters and y represent the number of nickels.
According to the question,
Total coins : [tex]x+y=16[/tex] ...(i)
Total value : [tex]0.25x+0.05y=2.60[/tex] ...(ii)
Multiply equation (i) by 0.25 and subtract the result from (ii).
[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]
[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]
[tex]-0.20y=-1.40[/tex]
Divide both sides by -0.20.
[tex]y=7[/tex]
Put y=7 in (i).
[tex]x+7=16[/tex]
[tex]x=16-7[/tex]
[tex]x=9[/tex]
Therefore, the number of quarters is 9 and number of nickels is 7.
Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*
Answer:
The answer is letter A.
-7+3(-4e-3)
−7+3((−4)(2.718282)−3)
=−48.619382
-4(3e+4)
−4((3)(2.718282)+4)
=(−4)((3)(2.718282)+4)
=(−4)((3)(2.718282))+(−4)(4)
=−32.619382−16
=−48.619382
simplify [tex]x^2+6x+4/x+3[/tex]
Answer:
(x^3 + 6 x^2 + 3 x + 4)/x
Step-by-step explanation:
Simplify the following:
x^2 + 6 x + 3 + 4/x
Put each term in x^2 + 6 x + 3 + 4/x over the common denominator x: x^2 + 6 x + 3 + 4/x = x^3/x + (6 x^2)/x + (3 x)/x + 4/x:
x^3/x + (6 x^2)/x + (3 x)/x + 4/x
x^3/x + (6 x^2)/x + (3 x)/x + 4/x = (x^3 + 6 x^2 + 3 x + 4)/x:
Answer: (x^3 + 6 x^2 + 3 x + 4)/x
When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7/100 said mashed potatoes. Which food is more popular? How do you know?
Answer:
Turkey is more popular.
Step-by-step explanation:
If in the survey about which is the favorite food on Thanksgiving, 9% answered turkey and 7/100 answered marshed potatoes, the most popular food among both is turkey.
This is so because in the case of marshed potatoes, the fact that 7 out of 100 choose this food implies that 7% of those surveyed designate it as their favorite, which is less than the 9% who choose turkey as such.
The Math Counts Club had a party at their school. There were 20 cookies and 40 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of slices of pizza with nothing left over. How many students could have been at the party? LCM or GCF?
Answer:
gcf is 20 lcm is 40
Step-by-step explanation:
2 with the exponent of 2 ⋅(45÷9) - 3
i need the answer
Help pleaseeeee
Find the unit rate.
Hours
Miles
X
y
1
40
2
80
3
120
It’s one of these
O 120 miles / 3 hours
O 80 miles / 2 hours
O 40 miles / 1 hour
Answer:
The answer is 40miles in 1 hour
Find the slope of the line that passes through (4, 9) and (6, 10).
Answer:
y = 4/5x + 14/5
Step-by-step explanation:
yee
Which of the following equations is equivalent to 3(a + 4) – 5(a – 2) = 22?
8a + 2 = 22
-2a + 2 = 22
8a + 22 = 22
-2a + 22 = 22
Answer:
-2a + 22 =22
Step-by-step explanation:
3(a + 4) -5(a - 2) =22
3a + 12 - 5a + 10 =22
-2a + 22 =22
Answer:
-2a + 22 = 22
Step-by-step explanation:
in both a = 0
In the triangle above the value of x = _____ degrees (nearest whole number)
Answer:
60 degree it is ez math it is 6 grade math
Answer:
200 or 160
Step-by-step explanation:
50=100 70=100 = 200
Most of the time it's 160 or 200, so try those 2
A taxi driver earned $70.04 one night and then bought himself a meal for $19.98.
How much did he have left over, to the nearest dollar?
Answer: $50
Step-by-step explanation:
Rounding the numbers, you get 70-20, which equals $50
What is the derivative of this?
Dy/dx=x^2y+y^2x
Answer:
y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)
Step-by-step explanation:
So, this is an implicit differentiation problem
x^2y+y^2x
so,
use product rule for both
x^2y'+2xy+y^2+2yy'x
collect all the y's
-x^2y'-2xyy'=y^2+2xy
y'(-x^2-2xy)=y^2+2xy
=y^2+2xy/-x^2-2xy
Can the function f(x) = x^2 - 4x + 4 be factored? If so write in factored form.
Answer:
(x-2)(x-2)
Step-by-step explanation:
Find two things you can multiply to equal to 4 and add to equal -4
-2*-2=4 and -2+-2=-4
PLS HELP!!
What is x
Answer:
2
Step-by-step explanation:
free brainlyiWhich of the following is true? (1 point)
1)
|−6| < 5
2)
|−6| < |5|
3)
|−5| < |−6|
4)
|−5| < −6
Answer:
1)
Step-by-step explanation:
Answer:
all of it
Step-by-step explanation:
A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost
Answer:
8 counselors and 12 aids
Step-by-step explanation:
minimum number of staff to run camp = 20
Ratio of counselors to aids to work together = 2:3
To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4
minimum number of counselors needed = 4 x 2 = 8 counselors
minimum number of aids needed = 4 x 3 = 12 aids
Select all true statements, 25 points
Answer:
the first one and the last one
Step-by-step explanation:
HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6
Answer:
the answer is 9
Step-by-step explanation:
Answer:
it is 9
Step-by-step explanation:
solve for x -1.5x - 3.1 < 5.5
Answer:
x>-17.2
Step-by-step explanation:
Simplify both sides of the inequality
-0.5x-3.1< 5.5
Add 3.1 to both sides
-0.5x< 8.6
Divided both sides by -0.5
x>-17.2
Hope this helped! :)
Which of the following is equivalent to the expression below? x 6 x 2
Answer:
Step-by-step explanation:
the answer is D
What is the term used for unscheduled full or partial payment of the principal amount
outstanding on a loan before its due date?
Answer:
This is called a prepayment
Write a linear equation for each table relating X and Y
Answer:
a. y = 2 + 2x
b. y = 20 - 4x
c. y = 2 + 1.5x
d. y = 20 - 3x
Step-by-step explanation:
I Hope That This Helps! :)
The table shows the outputs y, for different inputs ,x
Input x: 3,7,11,15
Output y: 4,6,8,10
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 5x-21. Which relation has a greater value when x=11
Part C: Using the relation in part b, what is the value of x if f(x) =99
Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
A rancher has 1000 feet of fencing in which to construct adjacent, equally sized rectangular pens. What dimensions should these pens have to maximize the enclosed area?
Answer:
The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft
Step-by-step explanation:
we have the perimeter as 1000
So the sum of the lengths will be
1000/2 = 500
The dimensions that will maximize these pens will be such that they will have equal values
Mathematically, that will be 500/2 = 250 by 250
A. Paul notices that the shape of the pond is shaped somewhat like a triangle. He claims that he can approximate the perimeter of the pond without doing any measurement of the actual pond or on the diagram. What assumption would Paul need to make in order to justify his claim? B. Based on the assumption in part A, determine the approximate length of side c of the pond. Explain your reasoning in at least two sentences. C. Determine the approximate perimeter of the pond. Explain your reasoning
9514 1404 393
Answer:
A) the curves are ellipses
B) 161 yards
C) 366 yards
Step-by-step explanation:
A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.
__
B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*
So, the approximate length of side c is ...
c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c
__
C) The perimeter of the pond is the sum of the side lengths, so will be ...
80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter
_____
* Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...
C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))
where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.
For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find ...
C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide
This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.
The attachment shows the shape if the curve is actually an ellipse.
1. Evaluate 4x' + 7xy - 5y for x = 5, and y = 3.
Answer:
110 is your answer
A quantity with an initial value of 920 decays exponentially at a rate of 85% every week. What is the value of the quantity after 21 days, to the nearest hundredth?
Answer:
≈3.11
Step-by-step explanation:
The value of the quantity after 21 days, to the nearest hundredth, given the expoenential decay is 3.11.
What is the value of the quantity after 21 days?When a quantity decays , it means that the value of the quantity declines with the passage of time.
The formula that can be used to determine the value of the quantity after a number of weeks is :
FV = P (1 - r)^n
Where:
FV = Future valueP =initial valueR =rate of decayN = number of weeks = 21/7 = 3 weeks920 x (1 - 0.85)^3
920 x 0.15^3 = 3.11
To learn more about exponential function, please check: brainly.com/question/18760477
Given the similar figures below, find the value of x. For your answer, ONLY TYPE IN THE NUMBER. show work
Answer:
[tex] x = 17.5 [/tex]
Step-by-step explanation:
Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:
[tex] \frac{28}{16} = \frac{x}{10} [/tex]
Cross multiply
[tex] x*16 = 10*28 [/tex]
[tex] 16x = 280 [/tex]
Divide both sides by 16
[tex] x = \frac{280}{16} [/tex]
[tex] x = 17.5 [/tex]
(iready question pls answer ASAP)
What is the equation of the line?
A) y=2x+2
B) y=2x-4
C) y=1/2x+2
D)y=1/2x-4
Which of the following are partial products for 43 x 17
Answer:
731
Step-by-step explanation:
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
To learn more about the fraction visit:
brainly.com/question/1301963.
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