An electronics shop offers a small ic chip for $1.50 per unit and $4.00 for large ic chip. on a certain day, 2200 chips were sold and $5050 is collected. how many small ic chips and how many large ic chips were sold?
Answers
.. s + l = 2200
.. 1.50s +4.00l = 5050
Solving these by your favorite method gives
.. s = 1500
.. l = 700
1500 small ICs and 700 large ICs were sold.
To determine the number of small and large IC chips sold, we set up a system of linear equations with the given total number of chips (2200) and total earnings ($5050). Solving the system, we found that 1500 small IC chips and 700 large IC chips were sold.
To solve the problem, we can set up a system of linear equations to represent the sales for small and large IC chips. We have two unknowns: the number of small IC chips (let's call it x) and the number of large IC chips (let's call it y). We have two pieces of information to create our equations:
The total number of chips sold is 2200, so x + y = 2200.
The total amount collected is $5050, so 1.50x + 4.00y = 5050.
Solving this system of equations, we multiply the first equation by 1.50 to align it with the second equation:
1.50x + 1.50y = 3300 (Multiply the first equation)
1.50x + 4.00y = 5050 (Second equation)
Subtracting the first new equation from the second gives us:
2.50y = 1750
Dividing both sides by 2.50 to find y gives us y = 700. That means 700 large IC chips were sold. Now, we can substitute y in the first equation to find x:
x + 700 = 2200
x = 2200 - 700
x = 1500
Hence, 1500 small IC chips and 700 large IC chips were sold.
Related Questions
The front of a storage bunker can be modeled by y=-5/216(x-72)(x+72), where x and y are measured in inches. The x axis represents the ground. Find the width of the bunker at ground level.
Answers
the bunker is a 3D object, it has a height, with and length, however we're only concerned with the 2D front face, which has a length and width only.
we know the x-axis is the ground level, so the y-axis must be the scale for the length.
if we can find, using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground level width.
keeping in mind that when the graph touches the x-axis, an x-intercept, "y" is 0.
[tex]\bf y=-\cfrac{5}{216}(x-72)(x+72)\implies \stackrel{y}{0}=-\cfrac{5}{216}(x-72)(x+72) \\\\\\ 0=\stackrel{\textit{difference of squares}}{(x-72)(x+72)}\implies 0=x^2-72^2\implies 72^2=x^2 \\\\\\ \pm\sqrt{72^2}=x\implies \pm 72=x[/tex]
now, the distance from (-72, 0) and (72, 0) is just 72 +72, or 144.
The width of the bunker at ground level is 14.58 inches.
Explanation:The x-axis is the ground level, so the y-axis must be the scale for the length. Using the provided model, the x-intercepts, namely where the x-axis gets touched, we can just get the distance between them and that's the ground-level width.
The width of the bunker at ground level can be found by substituting x = 0 into the equation y = -5/216(x-72)(x+72).
This equation represents a quadratic function, which means it is a parabola.
By substituting x = 0, we get y = -5/216(-72)(72)
= 14.58 inches.
Which of the following is the correct way to name the entire figure shown? A line has 4 points. From left to right, the points are M, unlabeled point, unlabeled point, N. (1 point) Modifying Above Upper M Upper N with two-way-arrow The image shows a ray MN. Modifying Above Upper M Upper N with bar
Answers
help please...........
Answers
Given the volume of Wesley's cube = 8 cubic centimeters.
We know the formula for volume of cube is given as follows :-
Volume of cube = (side) x (side) x (side)
8 = (side)³
side = [tex]\sqrt[3]{8} =\sqrt[3]{2*2*2} =2[/tex]
Hence, Wesley's cube dimensions are 2 centimeters.
The square must have side length as 2 centimeters.
If smallest square G represents 1 centimeters, then clearly it is H = 2 centimeters.
So, square H is the final answer.
Which statement about g in quadrilateral WXYZ is correct?
A. g=360°−(45°+170°+80°)
B. g=45°
C. g=180°+80°
D. g cannot be determined because you do not know what type of quadrilateral WXYZ is.
Answers
Based on that,
g+170+45+80=360
Subtracting (170+45+80) from both sides gives
g=360-(170+45+80),
or
g=360-(45+170+80)
Convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
Answers
Answer:
0.304 oz.
Step-by-step explanation:
We are asked to convert 9 cubic centimeters to fluid ounces (to the nearest thousandth).
We know that 1 cubic centimeter equals 0.033814 fluid ounces. To convert 9 cubic centimeters to fluid ounces, we will multiply 9 by 0.033814.
[tex]\text{9 cm}^3=\text{9 cm}^3\times \frac{\text{0.033814 oz}}{\text{cm}^3}[/tex]
[tex]\text{9 cm}^3=9\times \text{0.033814 oz}[/tex]
[tex]\text{9 cm}^3=0.304326\text{ oz}[/tex]
[tex]\text{9 cm}^3\approx 0.304\text{ oz}[/tex]
Therefore, 9 cubic centimeters equals 0.304 fluid ounces to the nearest thousandth.
a carpenter and helper can do a certain job in 18 days if the carpenter takes walks 1.5 times as fast as the helper how long would it take each working alone?
Answers
x-----------> time it takes the carpenter working alone
y-----------> time it takes the helper working alone
we know that
x+y=18 days------------>equation 1
x=y/1.5---------------> equation 2
I substitute 2 in 1
(y/1.5)+y=18----------> (y+1.5y)/1.5=18---------> 2.5y=18*1.5
2.5y=27-----------> y=27/2.5-----------> y=10.8 days
x+y=18--------> x=18-10.8---------> x=7.2 days
the answer is
time it takes the carpenter working alone is 7.2 days
time it takes the helper working alone is 10.8 days
Answer:
i dunno know
Step-by-step explanation:
2+2=FISH
Compare the two fractions. Use >, <, or =.
1st fraction, 2/3
2nd fraction, 4/6
Answers
Multiply by 2 for both numerator and denominator
2/3 = 4/6
2nd Fraction = 4/6
Both are the same fraction, 4/6:
2/3 = 4/6
PLEASE ANSWER FAST I NEED ANSWER QUICK!!!
To estimate 103% of 63, Rich rounded 103% down to 100%, 63 down to 60, and multiplied 60 by 1 to get 60. Which of these statements is correct?
A) Rich’s estimate is reasonable because it should be less than 63.
B) Rich’s estimate is reasonable because it should be greater than 63.
C) Rich’s estimate is unreasonable because it should be less than 63.
D) Rich’s estimate is unreasonable because it should be greater than 63.
Answers
What is the difference between the absolute value of –8 and the absolute value of 6?
2
8
14
16
Answers
The difference means you subtract the two numbers.
Absolute value makes the numbers within into a positive number.
The equation would be 8-6=2
Answer:
It will be A. (2)
Step-by-step explanation:
Because its the only answer that makes sense plus i got it right :3
The graph below shows the solution to a system of inequalities
Which of the following inequalities is modeled by the graph?
A. x + 4y ≥ 15; y ≥ 0
B.x − 4y ≥ 15; y ≥ 0
C.x + 4y ≤ 15; y ≥ 0
D.−x − 4y ≥ 15; y ≥ 0
Answers
using a graph tool
I proceed to graph each of the cases to verify the answer
see the attached figures
the solution is the option C) x + 4y ≤ 15; y ≥ 0
Finn imagines 1 more row of nines to find the total area of 9 * 9 rectangle. explain how this could help him solve 9 * 9
Answers
but i would say imagining nine rows of nine
the area would be 81.
Hope this helps :)
Please help with this question!
Ari has been paying attention to the number of calories she burns while exercising. One day she spent 3 hours hiking, and 4 canoeing, and she calculated that she burned 2338 calories. The next day, she hiked for 7 hours and canoed for one hour, and she calculated that she burned 3322 calories. How many calories per hour does Ari burn doing each exercise?
Answers
Let the calories / hour for canoeing = c
3h + 4 c = 2338
7h + c = 3322 Multiply this by 4
28h + 4c = 13288 Write the first equation underneath this one.
3h + 4c = 2338 Subtract
==================
25h = 10950 Divide by 25
h = 10950 / 25
h = 438 calories for each hour hiking.
7h + c = 3322
7*438 + c = 3322
3066 + c = 3322
c = 3322 - 3066
c = 256 calories / hour canoeing.
By setting up a system of equations, we find that Ari burns 438 calories per hour hiking and 256 calories per hour canoeing.
To determine the number of calories Ari burns per hour doing each exercise, we need to set up a system of equations based on the given information. Let x represent the number of calories burned per hour hiking, and y represent the number of calories burned per hour canoeing.
We are given two situations:
3 hours of hiking and 4 hours of canoeing burn 2338 calories: 3x + 4y = 2338.
7 hours of hiking and 1 hour of canoeing burn 3322 calories: 7x + y = 3322.
We have the following system of equations:
3x + 4y = 2338
7x + y = 3322
To solve the system, we can first multiply the second equation by 4 to eliminate y:
4(7x + y) = 4(3322)
28x + 4y = 13288
Now, subtract the first equation from this result:
(28x + 4y) - (3x + 4y) = 13288 - 2338
25x = 10950
x = 10950 / 25
x = 438
Ari burns 438 calories per hour hiking.
To find y, substitute x = 438 into the first equation:
3(438) + 4y = 2338
1314 + 4y = 2338
4y = 2338 - 1314
4y = 1024
y = 256
Ari burns 256 calories per hour canoeing.
Thus, the results reveal that Ari burns 438 calories per hour hiking and 256 calories per hour canoeing.
Simplify fraction 26/39
Answers
To simplify the fraction 26/39, we need to find a whole number in which both the numerator and the demoninator can be divisible by.
Both 26 and 39 can be divisible by 13.
26 ÷ 13 = 2
39 ÷ 13 = 3
So, the simplified fraction is 2/3.
Hope this helps!
J read 147 pages in a book. He has completed 70% of the book. How many more pages does he need to read to finish the book.
Answers
(147/x)*x=(100/70)*x
147=1.4285714285714*x
147/1.4285714285714=x
x=102.9 is your answer
It is very common for television series to draw a large audience for special events of for cliff-hanging story lines. suppose that on one of these occasions, the special show drew viewers from 38.2% of all us tv households. suppose that three tv households are randomly selected. what is the probability that all three households viewed this special show?
Answers
Conditions for a Binomial Experiment are:
1) The sample is simple random sample
2) The probability of success is constant
3) The trials are independent
4) There are a fixed number of trials
Probability of success on a single trial = p = 0.382
Number of trials = n = 3
Number of successful trials= x = 3
The formula of the Binomial probability is:
P( 3 out of 3 success) = [tex]3C_{3} p^{3} (1-p)^{3-3} [/tex]
Using the values, we get:
P (3 out of 3) = 0.557 = 5.57%
Thus the probability that all three households viewed this special show is 5.57%
To find the probability that all three randomly selected households watched a special TV show when 38.2% of all households watched it, you multiply the probability for one household by itself three times, resulting in approximately 0.055 or 5.5%.
The question asks about calculating the probability that all three randomly selected US TV households watched a special television show, given that 38.2% of all US TV households viewed it. To find this probability, we use the rule of independent events since the viewing status of one household is assumed to not affect another. The probability that all three households viewed this show can be calculated by multiplying the probability of one household viewing the show three times.
The calculation would look like this:
0.382 (the probability one household watched the show) x 0.382 x 0.382 = 0.055 (approximately).
This is the probability that all three households viewed the special show.
The lengths of the legs of a right angle triangle 12 cm and 35 cm. What is the length of the hypotenuse?
Answers
Allow x to be the hypotenuse.
12^2+35^2=x^2
144+1225=x^2
1369=x^2
x=37
c^2=a^2+b^2, where c is the hypotenuse
c^2=12^2+25^2=144+625=769
c=sqrt769= aprox 27.73
A hotel is in the shape of a square pyramid. Each side of the base is 183 meters long and the height is 110 meters. What is the hotel's volume? Enter your answer in the box
Answers
Answer:
1,227,930 m²
Step-by-step explanation:
We are given that,
Base of the pyramid = 183 meter
Height = 110 meter.
Since, we know,
Volume of a square pyramid = [tex]Base^2\times \frac{Height}{3}[/tex]
We have,
Volume of the square pyramid = [tex]183^2\times \frac{110}{3}[/tex]
i.e. Volume of the square pyramid = [tex]33489\times 36.667[/tex]
i.e. Volume of the square pyramid = 1,227,930 m²
Hence, the volume of the square pyramid is 1,227,930 m².
Find the distance from the point p(4, −1, 1) to the line x = 1 + 2t, y = 3t, z5 − 7t
Answers
Find the first five non-zero terms of taylor series centered at x=3x=3 for the function below. f(x)=6x−x2−−−−−−√ f(x)=6x−x2
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Note, that because of simple function (parabola) almost all the members of the series are '0'.
Analyze the key features of the graphs of the functions below. Select all of the quadratic functions that open down, have a vertex that is a maximum and a positive y-intercept.
The Choices are
F(x)=2x^2-4x-3
G(x)= -x^2+x+1
H(x)= -2x^2+3x-1
M(x)=x^2-9
N(x)= -3x^2+7
Answers
The only thing you need to do is look at the leading coefficient for each choice to decide which ones open down and have a maximum. If the leading coefficient is negative, then they open down and have a maximum.
F(x) is out of our choices because the leading coefficient is positive.
G(x) and H(x) are still options.
M(x) is gone for the same reason we won't choose F(x).
N(x) is still an option.
Now our choices are between G(x), H(x), and H(x). To decide which ones have a positive y-intercept, look at the constant term. If it's negative, then it has a negative y-intercept and it's out of our choices.
G(x) and H(x) remain our only options and since the question can have multiple answers, G(x) and H(x) are the answers!
I really hope this helps!
Best wishes:)
Out of the options provided, only G(x) = -x^2 + x + 1 fits the conditions asked in the question. It is a quadratic function that opens downward, has a vertex that is a maximum, and a positive y-intercept.
Explanation:The key features of a quadratic function are determined by its equation: f(x) = ax2 + bx + c. The sign of 'a' determines whether the function opens up or down. If 'a' is positive, the graph opens up, and if 'a' is negative, it opens down. The vertex of a quadratic function is given by the formula (-b/2a , f(-b/2a)). If 'a' is negative, this vertex will be a maximum. The y-intercept of the function is the value of 'c' in the quadratic equation. According to the conditions provided, we can classify the given functions.
f(x) = 2x2 - 4x - 3 opens upward and has a negative y-intercept; it’s not in the selection.G(x) = -x2 + x + 1 opens downward, has a maximum vertex, and a positive y-intercept. It fits the conditions.H(x) = -2x2 + 3x - 1 opens downward and has a maximum vertex, but has a negative y-intercept, so it’s not in the selection.M(x) = x2 - 9 opens upward and has a negative y-intercept; it’s not in the classification.N(x) = -3x2 +7 opens downward and has a maximum vertex, but it does not mention whether there is a positive y-intercept; so it’s unclear.
Learn more about Quadratic Functions here:
https://brainly.com/question/35505962
#SPJ6
How many x intercepts appear on the graph of this polynomial function? F(x)=x^4-5^2.
1 x intercept
2 x intercepts
3 x intercepts
4 x intercepts
Answers
[tex]0= x^{4}- 5^{2} \\ \\ 25= x^{4} \\ \\ [/tex]
Taking square root of both sides we get:
[tex](5) = x^{2} , \\ -5= x^{2} [/tex]
The square root of -5 will result in a complex number. So we reject this value and only consider [tex]5= x^{2} [/tex]
Taking the square root again, we get:
[tex]+- \sqrt{5}=x [/tex]
Thus the F(x) has two x-intercepts at [tex]x= \sqrt{5} [/tex] and [tex]x= -\sqrt{5} [/tex]
select the locations on the number line to plot the points _2 _11 and _17
Answers
Click on ALL the values for n that make this inequality true. There maybe more than one answer.
[tex]120 \geq 10n + 20[/tex]
Possible Answers:
Answers
You can divide by 10 and subtract 2.
12 ≥ n + 2 . . . . . . divide by 10
10 ≥ n . . . . . . . . . subtract 2
The values that will make the inequality true are those that are 10 or less, including 0 and all negative numbers.
Olive has read 79 pages of her book. Which equation shows how many more pages she has to read?
Answers
p = t - 79
would be the equation.
Hope this helps!
A punch recipe requires 4/5 of a cup of pineapple juice for every 2 1/2 cups of soda. What is the unit rate of soda to pineapple juice in the punch?
Answers
2 1/2----------> (2*2+1)/2-----------> 5/2
[unit rate of soda to pineapple juice]=[quantity of soda]/[quantity of pineapple]
[unit rate of soda to pineapple juice]=[5/2]/[4/5]----> 25/8-------> 3.125---> 3 1/8
the answer is 3.125 (3 1/8)
The students at a school assembly were divided into 4 equal groups. There were 63 students in each group. Write and solve an equation to determine the number of students that were at the assembly. use x as the variable.
equation _______
_______students
Answers
[tex]x \div 4 = 63 \\ \frac{1}{4} x = 63 \\ x = \frac{63}{ \frac{1}{4} } = 252[/tex]
hope this helps
Write, and show on a number line, the set of all the numbers that are:
greater than (−3) and less than 3.
Answers
he temperature equivalent to 77°F is °C.
Use the formula to convert the temperature.
Answers
Hope this helps!
So, all we have to do here is plug 77° in:
(77 - 32) × 5/9
= 45 × 5/9
= 25
So, 25°C is the answer.
Hope this helps!
select all expressions thr equal 3.15/0.45
Answers
let's analyze case by case
case A) 3.15*0.45---------> is not (3.15/0.45)
case B) 3.15/0.45-----------> is correct
case C) 3.15*(1/0.45)=(3.15*1)/0.45--------> 3.15/0.45----------> is correct
case D) 3.15/(45/100)=3.15*100/45=315/45-------------> is not (3.15/0.45)
case E) 0.45/3.15------------> is not (3.15/0.45)
the answers are
case B) 3.15/0.45-----------> is correct
case C) 3.15*(1/0.45)=(3.15*1)/0.45--------> 3.15/0.45----------> is correct
A circle is divided into parts. Which sum could represent the angle measures that make up the circle?
Answers
A circle is always going to be 360°.