Algebraic equations are mathematical equations that consist of unknown variables. These unknown variables can be represented with any letter of the alphabet.
The cost of 2 pounds(lb) of the first type of candy is $8
Note that: x represents the cost per pound (lb) of the first type of candy
The Algebraic equation for the above statement is given as:
2lb × $x + 3 Ib × $1.50 = $2.50(2lb + 3lb)
2x + 4.5 = 12.5
Collect like terms
2x = 12.5 - 4.5
2x = 8
Divide both sides by 2
2x/2 = 8/2
x = 4
The cost of the 1 pound of first type of candy is $4
The cost of 2 pounds(lb) of the first type of candy is calculated as:
2 x $4
= $8
hope it will be helpful
what is the first quartile of this data set?
11,12,15,16,17,19,22,24,29,33,38
The first quartile of the given data set would be 15 which is The middle of the numbers from the beginning up.
What is the first quartile of the data set?When data points are organized in ascending order, the first quartile, or lower quartile, (Q1), is the value at which 25% of them are located.
The given data set is:
11,12,15,16,17,19,22,24,29,33,38
Since the number of elements in the data set is 11. As a result, the data are divided into two equal parts by the sixth term. The median of the data is 19.
The middle of the numbers from the beginning up to and including the first middle value: 11,12,15,16,17.
The middle value is 15.
Therefore, the first quartile of this data set would be 15.
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Which equation could possibly represent the graphed function?
A polynomial function graph where the solid line intersects X-axis on (minus 4,0), (minus 2,0) and (4,0). The same line intersects Y-axis at (minus 30, 0) and (2, minus 48)
A. f(x) = (x − 4)(x + 2)(x + 4)
B. f(x) = (x − 4)2(x − 2)
C. f(x) = (x + 4)2(x + 2)
D. f(x) = (x − 4)(x − 2)(x + 4)
Answer:
answer is A
as the graph cuts the x axis at 4 which is shown by (x-4). and cut by -2 and -4 which is shown by (x+2) and (x+4).
a particular fruit's weights are normally distributed, with a mean of 717 grams and a standard deviation of 18 grams. if you pick 12 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? give your answer to the nearest gram.
If the mean is 7171 grams, the standard deviation is 18 grams and 12 fruits are selected at random. Then, the mean weight will be 734.901 grams greater.
Let X be the random variable of the fruit's weight.
We have, the mean and standard deviation as 717 grams and 18 grams respectively.
We want to find the specific gram value for which 16% of the fruits are heavier, i.e. the 84th percentile of X's normal distribution
Now, Solving for x:
P( X < x ) = Normal( 717, 18 ), Z = 0.84
So,
P( [X - 717] / 18 < [x - 717] / 18 ) = P( Z < [x - 717]/18 ) = 0.84, where Z is a standard normal random variable
Now,
Standard Normal CDF( [x - 717]/18 ) = 0.84
Then, from the standard normal table: [x - 717]/18 = Inverse Standard Normal CDF( 0.84 ) = 0.9945
Therefore,
[ x - 717 ] / 18 = 0.9945
Multiplying 18 on each side of the equation,
x - 717 = 0.9945 × 18
x - 717 = 17.901
Adding 717 on each side of the equation,
x - 717 + 717 = 17.901 + 717
x = 734.901
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Question 3 (10 points)
Answer:
11
Explanation:
if you want to find the answer to a question like this just put the square root symbol on to your calculator before you type the number it wants you to get an answer for and the correct answer will appear
hope this helps:)
Answer:
11
Step-by-step explanation:
[tex]\sqrt{121} = \sqrt{11^{2} } = 11[/tex]
A company that manufactures bicycles has a fixed cost of $90,000. It costs $200 to produce each bicycle. The total cost for the company is the sum of its fixed cost and variable costs Write the total cost, C, as a
function of the number of bicycles produced, x Then, find and interpret C(100)
The total cost function is C(x)=
Answer:
Total cost: C(x) = 90,000 + 200x in dollars
C(100) = $110,000
This means that the total cost for the company when it produces 100 bikes would be $110,000
Step-by-step explanation:
First, you have a fixed cost, so you would start by setting C(x) to that:
C(x) = 90,000
Then, you have a cost of $200 PER bike that is made. The amount of bikes is represented by x. So you will have to multiply cost per bike by how many bikes are manufactured:
200x
Add this variable cost to the function underlined above.
C(x) = 90,000 + 200x
This is your function C(x).
Now for C(100), PLUG IN 100 for x:
C(100) = 90,000 + 200(100)
Multiply out:
C(100) = 90,000 + 20000
Then add these together to get the value:
C(100) = 110,000
This is the amount of money it would cost to make 110000 bikes, as interpreted above.
The diagram shows a driveway to be paved. The Lincoln family needs to determine the amount of Hot Asphalt Mix to purchase in order to pave their new driveway, which will have a 6-inch base (thickness). The density of Hot Asphalt Mix depends on mix proportions and types of material used. Assuming a density of 145 pounds per cubic foot, how many tons of asphalt will the Lincoln family need to purchase?
Answer:
bbbbbbbbbbbbbbbb
kjajs
-4/0 divided by 5 11/14
Answer: undefined
Step-by-step explanation:
Six more than the quotient of a number and 9 equals 4
Answer: x= -18
Step-by-step explanation:
Your equation would be (x/9)+6=4
Subtract 6 by both sides.
Multiply 9 by both sides.
Then you should get -18.
Combine like terms, if possible. Write the result with descending powers. -7x^4 + 4x^4 - 6x^4
Select the correct choice below and fill in the answer box to complete your choice.
A. The polynomial can be simplified. -7x^4 + 4x^4 - 6x^4 =
B. The polynomial cannot be simplified. The polynomial written in descending powers is =
The polynomial can be reduced to -9x^4
Addition of Polynomial
To solve this, we can simply add the similar polynomials or polynomials with the same power. This will help us simplify the polynomial to the lowest possible value.
[tex]-7x^4 + 4x^4 -6x^4 = -9x^4[/tex]
The polynomial given is simplified to become -9x^4
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Can you please help me out with a question
The probability of the outermost ring is 55.6%
Find the y-intercept and the slope of the line. 3x+4y=-7
Answer: m(slope) = -3/4, b(y-int) = -7/4
Answer:
The slope is -3/4 and the y intercept is 74.
Step-by-step explanation:
I just know I had this question.
some students decide to take a bike ride. for the first two hours they travel at a speed of 15 mi/hr, they then stop for lunch for an hour. the students then ride for another hour at 10 mi/hr. what was their average speed for the trip?
10 miles per hour is the average journey speed.
Given that,
Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.
Average speed is ( total distance ) / ( total time )
During the 1st 2 hrs:
distance = speed * time
distance = 15 *2 = 30 miles
During the last hour:
distance = speed * time
distance = 10 *1 = 10 miles
Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr
Therefore, their average speed for the trip is 10 mil/hr
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The sum of an integer and 2 times the next consecutive integer is -22. Find the value of the lesser integer
Answer: gurl you think i know
Step-by-step explanation:
tony buys 6 packages of cookies. each package of cookies cost $2.50. how much will he spend
Answer:
Tony will spend 15$.
Step-by-step explanation:
2.50 * 6= 15($)
Kamryn’s doctor recommended that she drink 64 fluid ounces of water every day. There are about 30 milliliters in 1 fluid ounce. Which measurement represents the number of milliliters in 64 fluid ounces?
HELP PLEASE DUE IN 10 MINS
64 fluid ounces contain 1920 milliliters.
64 oz of liquid is what?Oz to Half Gallon Conversions
A half gallon is equal to 64 ounces in a gallon measurement.
OZ or ML: Which is bigger?
A milliliter is equal to how many ounces. The conversion factor from fluid ounces to milliliter is 1 fluid ounce = 30 milliliter.
64 ounces is equal to how many glasses of water?This equates to eight 8-ounce glasses or 2,000 ml (approximately 64 ounces) for a person who consumes 2,000 calories per day.
Given: She regularly drinks 64 fluid ounces of water.
1 fluid = 30 milliliters
=> 30 × 64 = 1920 milliliters
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Which ordered pairs represent points on the graph of this equation? Select all that apply. x= – 1 /2 y
The ordered pairs that represent points on the graph of the equation 3x + 2y = -12. is; point (-4,0)
What is the ordered pair on the graph?An equation of the line is defined as the linear equation that has a degree of one. The equation of the line contains two variables x and y. Thus, the third parameter will be the slope of the line which represents the elevation of the line.
The general form of the equation of the line is y = mx + c
where;
m is the slope
c is the y-intercept
We will find the ordered pair that satisfies the equation with each pair of points as;
3(-6) + 2(7) = -4
3(-4) + 2(0) = -12 YES
3(0) + 2(7) = 14
3(3) + 3(-3) = 0
3(6) + 2(0) = 18
The only ordered pair that satisfies the given linear equation is (-4, 0)
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Complete question is;
Which ordered pairs represent points on the graph of this equation? Select all that apply.
3x + 2y = -12
(-6, 7)
(7, 6)
(-4,0)
(0,7)
(3,-3)
(6,0)
Bette used 3 jumbo cans of frosting to frost 105
cupcakes for the cupcake challenge at her school
and 5 jumbo cans of frosting to frost an
additional 175 cupcakes. How many jumbo cans
of frosting would she need to frost 280
cupcakes?
The number of jumbo cans of frosting would she need to frost 280 cupcakes is 8.
Given that, Bette used 3 jumbo cans of frosting to frost 105 cupcakes and 5 jumbo cans of frosting to frost an additional 175 cupcakes.
What are proportions?Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
Let number of jumbo cans of frosting would she need to frost 280 cupcakes be x.
Now the proportion is
3/105 = 5/175 = x/280
⇒ 5/175 = x/280
⇒ 175x = 280 × 5
⇒ x = 1400/175
⇒ x = 8
Therefore, the number of jumbo cans of frosting would she need to frost 280 cupcakes is 8.
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ben is making a dessert that requires 212 lb of strawberries and 112 lb of blueberries. strawberries cost $1 less per pound than blueberries. ben spent a total of $9.50 on the fruit. what is the price per pound of each type of fruit?
Answer:
Step-by-step explanation:Price per pound of strawberries is $-0.31635 and blueberries is $0.6836.
Explanation :
Given data ;
Weight of strawberries required for dessert = 212 lb
Weight of blueberries required for dessert = 112 lb
Total cost spent = $9.50
Let,
Cost of blueberries per pound =x
Cost of strawberries per pound = (x-1)
We know that,
Cost of blueberries for overall weight + Cost of strawberries for overall weight = Total cost spent on fruits.
x(112) + (x-1)212 = 9.50
112x + 212x – 212 = 9.50
324x = 221.5
X = 221.5/324
X = $0.6836
So, (x-1) = $-0.31635
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Price per pound of strawberries is $0.02476 and the price per pound of blueberries is $0.03794
Given that ;
Ben is making a dessert that requires 212 lbs of strawberries and 112 lbs of blueberries. Strawberries cost $1 less per pound than blueberries. Ben spent a total of $9.50 on the fruit.
So according to the question get the price per pound of each type of fruit;
Let ' x ' be the price per pound of strawberries and ' y ' be the price per pound of blueberries.
By assuming the following equations;
212x - 112y = 1 → ( I )
212x + 112y = 9.5 → ( II )
By solving above equations ( I ) ( II ) we get;
424x = 10.5
x = 10.5/424
x = 0.02476
224y = 8.5
y = 8.5/224
y = 0.03794
Price per pound of strawberries is $0.02476 and the price per pound of blueberries is $0.03794
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A trail mix recipe calls for 3 cups of pecans for 15 packets. At this rate how many cups of pecans will he need for 90 packets?
Answer:
Step-by-step explanation:
3 cups for 15 packets would be 5 packets for each cup. So 1 cup is 5 packets of trail mix. Which means 5×90= 45
The answer is 45.
What is the end behavior of the graph of the polynomial function f(x) = -x5 + 9x4 - 18x³?
O As x→-co, Y→→co and as x→co, y →-00
As x→-co, Y→→∞ and as x→co, y →∞
ය.
O As x→-co, Y→co and as x→co, y →→∞0
O As x→-co, y →co and as x→co, y → co
The option (A) x → -∞, f(x) → ∞ and x → ∞, f(x) → -∞ if the polynomial function is f(x) = -x⁵ + 9x⁴ - 18x³.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The polynomial function is:
f(x) = -x⁵ + 9x⁴ - 18x³
After plotting the graph of the polynomial function:
From the graph;
x → -∞, f(x) → ∞
x → ∞, f(x) → -∞
Thus, the option (A) x → -∞, f(x) → ∞ and x → ∞, f(x) → -∞ if the polynomial function is f(x) = -x⁵ + 9x⁴ - 18x³.
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this is a pre for something later on in the future please help me i will give brainliest and dont make it sound to smart or use big words becausee i dont type like that
Using the Pythagorean Theorem, it is found that:
The length of the bar is of c = 8.73 ft.The amount of netting needed is of 132.76 ft².Pythagorean TheoremThe Pythagorean Theorem is a geometry axion relates the length of the sides [tex]l_1[/tex] and [tex]l_2[/tex], which are the separated by the angle of 90º, of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
For the netting, it is found that:
The legs are of 8 ft and 3.5 ft.The hypotenuse is of c.Hence the measure c, representing the length of the bar, is calculated as follows:
c² = 8² + 3.5²
c = sqrt(8² + 3.5²)
c = 8.73 ft.
The amount of netting needed is the area of the entire goal, composed by:
A rectangle of dimensions 12 ft and 8.73 ft.Two right triangles of dimensions 8 ft and 3.5 ft.Hence:
A = 12 x 8.73 + 2 x 1/2 x 8 x 3.5 = 132.76 ft².
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sound travels at a rate of about 1.1*10^3 feet per second. Suppose a mining company detonates a bundle of dynamite at a distance of 625 feet from a canyon wall. At the time of a detonation the miners sit safely at a distance of 2,600 feet from the dynamite. How long after detonation will the miners hear the echo of the blast off the canyon wall? Round to the nearest tenth if necessary.
what in your opinion is the moral in the story ?
10 is 25% of what number?
Answer:
10% of 25 is 5/2 or 2½ as a fraction and 2.5 as a decimal. Let's find 10% of 25.
Step-by-step explanation:
What is an equation of the line that passes through the points (-2, 5) and (−2,−8)?
The equation of the line that passes through (-2, 5) and (−2,−8) is: x = -2.
What of the Equation of a Line?The equation of a line that passes two given points on the line, can be expressed in slope-intercept form as y = mx + b. In this form, the variable "m" represents the slope of the line, while the "b" represents the y-intercept.
Find the slope using the two points (-2, 5) and (−2,−8):
Slope (m) = change in y / change in x = (-8 - 5)/(-2 -(-2))
Slope (m) = -13/0 [cannot divide]
The slope of the line is undefined. This means the line is a vertical line that intercepts the x-axis at -2.
The equation of the vertical line would therefore be: x = -2.
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The formula C=3.14d can be used to approximate the circumference of a circle given its diameter. Company A manufactures and sells a certain washer with an outside circumference of 4 centimeters. The company has decided that a washer whose actual circumference is in the interval 3.9≤C≤4.1 centimeters is acceptable. Use a compound inequality and find the corresponding interval for diameters of these washers.
1.242 ≤ d ≤ 1.305 is the corresponding interval for the diameter of the washer.
Given that,
Company A makes and sells a washer having a 4-centimeter outer radius. The corporation has decided on a washer with an actual radius in the range of 3.9 ≤ C ≤ 4.1.
Inequality is defined as the connection of an equation having the symbol ( ≤, ≥, <, >) in place of the assignment operator.
Here,
C = 3.14d
Given inequality,
3.9 ≤ C ≤ 4.1
3.9 ≤ 3.14d ≤ 4.1
dividing both sides of the inequality by 3.14,
1.242 ≤ d ≤ 1.305
As a result, the needed matching spacing for the washer's diameter is 1.242 ≤ d ≤ 1.305.
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A manufacturer determines the cost of making a computer component is $3.232323 write the repeating decimal cost as a fraction and as a mixed number
Answer:
$320/99$3 23/99Step-by-step explanation:
You want the repeating decimal cost ...
[tex]\$3.\overline{23}[/tex]
written as a fraction and as a mixed number.
FractionOne can convert the repeating decimal to a fraction by multiplying it by a power of 10 equal to the number of repeating digits.
This cost number (C) has 2 repeating digits (23), so we want to multiply it by 10^2:
[tex]100C=10^2\times3.23\overline{23}=323.\overline{23}[/tex]
Now, we can subtract the original cost to cancel the repeating decimal fraction:
[tex]100C -C = 323.\overline{23}-3.\overline{23}=320[/tex]
Dividing by the coefficient of C, we have the fraction we want:
[tex]C=\boxed{\dfrac{320}{99}}[/tex]
Mixed numberThis is expressed as a mixed number by figuring the quotient and remainder.
[tex]\dfrac{320}{99}=\boxed{3\dfrac{23}{99}}[/tex]
30+29+14 Joshua rewrote the expression as 39+14+29 what property did Joshua used to rewrite the expression
34=−2x34 I don’t understand
this problem
graph the equation, y=x/3-4
Step-by-step explanation:
With the equation
y
=
|
−
x
+
3
|
−
4
, we know that the term inside the absolute value mark will never be less than zero, which means the smallest
y
can be is
y
=
−
4
. This value is achieved with
|
−
x
+
3
|
=
0
, putting
x
=
3
. So that is our first point,
(
3
,
−
4
)
.
We're dealing with
x
terms (versus
x
2
or
√
x
or any other form of
x
), so the graph coming off
(
3
,
−
4
)
will be lines. Since there the coefficient of the
x
term is 1, the slope of those lines will be 1 and
−
1
(with the x term inside the absolute value, we look at both
±
1
).
The standard graph for an absolute value graph is for it to be in the shape of a V. And so we can expect our graph to have points
(
4
,
−
3
)
and
(
2
,
−
3
)
- and we can plug in those values to prove it:
y
=
|
−
x
+
3
|
−
4
−
3
=
|
−
4
+
3
|
−
4
−
3
=
|
−
1
|
−
4
−
3
=
1
−
4
−
3
=
−
3
and
−
3
=
|
−
2
+
3
|
−
4
−
3
=
|
1
|
−
4
−
3
=
1
−
4
−
3
=
−
3
The graph itself will look like this:
graph{abs(-x+3)-4 [-10, 10, -5, 5]}
3(x+1) +4 = 2x -2 + x
Answer:
No solution.
Step-by-step explanation:
3(x+1)+4=2x-2+x
-> distribute
3x+3+4=2x-2+x
-> simplify (add constants & x terms)
3x+7=3x-2
-> variable cancels out
7=-2
-> this is not true
Untrue statement; no solution.
Put empty parenthesis/brackets: [,] / (,) or simply put "no solution."