Answer:
This is a problem of weighted averages and can be solved with a system of equations.
Let's define:
- `x` as the amount (in lbs) of the cheaper chocolate,
- `y` as the amount (in lbs) of the expensive chocolate.
We can set up the following equations:
1. `x + y = 62.4` (the total amount of chocolate we want)
2. `$2.10x + $9.90y = $2.40 * 62.4` (the total cost of the chocolate mixture)
The second equation represents the total value of the chocolate, while the first represents the total weight.
We can solve this system of equations using substitution or elimination. In this case, it may be simpler to use elimination.
Let's first transform the second equation to get rid of the dollar signs:
2.10x + 9.90y = 2.40 * 62.4
2.10x + 9.90y = 149.76
Let's now multiply the first equation by 2.10 (the price per lb of the cheaper chocolate):
2.10x + 2.10y = 2.10 * 62.4
2.10x + 2.10y = 131.04
Subtracting the second equation (multiplied) from the original second equation, we get:
9.90y - 2.10y = 149.76 - 131.04
7.80y = 18.72
Solving for y, we get:
y = 18.72 / 7.80 = 2.4 lbs
Substituting y = 2.4 into the first equation:
x + 2.4 = 62.4
x = 62.4 - 2.4 = 60 lbs
So, you will need 60 lbs of the cheaper chocolate and 2.4 lbs of the expensive chocolate to obtain the desired mixture.
Given MTW= BGK, find the value of y
Answer:
8
Step-by-step explanation:
Using CPCTC, the angles of [tex]\triangle BGK[/tex] are [tex]41^{\circ}, 45^{\circ}[/tex], and [tex](11y+6)^{\circ}[/tex].
Using the angle sum of a triangle,
[tex]45+41+11y+6=180 \\ \\ 92+11y=180 \\ \\ 11y=88 \\ \\ y=8[/tex]
Find the unknown value in the
proportion (2x+1)=2 (x+2] :5
Answer:
To find the unknown value in the proportion (2x + 1) / 2 = (x + 2) / 5, we can cross-multiply the terms on the left-hand side and the right-hand side to eliminate the fractions. This gives us the equation 2(2x + 1) = 5(x + 2), which simplifies to 4x + 2 = 5x + 10. Subtracting 4x from both sides of the equation, we get 2 = x + 10, which can be rewritten as x = -8. Therefore, the unknown value in the proportion is x = -8.
Step-by-step explanation:
PLEASE HELPPP
3. What is the relationship between angles M and R?
The relationship between angles R and R is: B. m∠M > m∠R.
What is the Relationship of the Angles of Two Triangles?The size of the angles in a triangle is related to the length of the side they are opposite to. That is, the largest angle is opposite the longest side and vice versa. This is the basis of the relationship of the corresponding angles of two triangles with two equal sides, and a third unequal sides.
In the image given, we see that two corresponding sides of the two triangles are equal to each other, MN = RS, and MP = RT.
Since the side that is opposite to the third angle in triangle MNP is greater than the side that is opposite to the third angle in triangle RST, NP > ST, therefore, it follows that the size of angle M that is opposite to side NP would be greater than the size of angle R that is opposite to side ST.
In conclusion, we can state that the relationship is, B. m∠M > m∠R.
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2. How many integer numbers from 1 to 1000 are divisible by 2 or by 3?
Please help I don’t understand
The values of x in the congruent triangles are as follows:
a. x = 16
b. x = 10
How to find the angles of congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .
In other words, triangles that have exactly the same size and shape are called congruent triangles.
The triangles are congruent. Therefore, let's find the x in the triangles.
a.
180 - 54 - 67 = 4x - 5
59 = 4x - 5
59 + 5 = 4x
64 = 4x
divide both sides by 4
x = 64 / 4
x = 16
b.
180 - 58 - 74 = 5x - 2
48 = 5x - 2
48 + 2 = 5x
x = 50 / 5
x = 10
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Solve this inequality for x.
Please hurry I will give brainliest
Answer:
I think its D.
Step-by-step explanation:
Step-by-step explanation:
[tex]81-1\frac{1}{5} x\leq 55\\\\[/tex]
[tex]-1\frac{1}{5}x\leq -26[/tex]
[tex]\frac{1}{5}x\geq 26\\[/tex]
[tex]x\geq 130\\[/tex]
What is the domain of the function below?
f(x) = -3x³ + 2x² - 5
(-∞, 0.444)
[0, ∞)
(-∞, 0)
(-∞, ∞)
The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).
What is domain?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The domain of a function is the set of input or argument values for which the function is real and defined
The function has no undefined points nor domain constraints. Therefore, the domain is [tex]$$-\infty < x < \infty$$[/tex].
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Bob has 42 cookies and he wants to give all his cookies away to each of his six friends if he gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies identify the error in Bob’s conclusion 
Bob divided incorrectly, 42÷6 = 7 is correct.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the Bob has 42 cookies and he wants to give all his cookies away to each of his six friends.
Which means Bob has to split 42 cookies among his 6 friends equally.
He gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies.
Bob is incorrect if we split 42 cookies to six friends, then each friend will get 7 cookies not 8 cookies.
Hence, Bob divided incorrectly, 42÷6 = 7 is correct.
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Part A
840 students at Junior High North are either iphone users or other phone users. Of these
students, 25 less than 4 times as many have iphones than another phone type. How many
students use an Iphone? How many students use another phone?
Answer:
other phones = 173
iphones = 667
Step-by-step explanation:
x = # of students with other phones
4x - 25 = # of students with iPhones
x + (4x - 25) = 840
5x - 25 = 840
5x = 840 + 25 = 865
x = 865/5 = 173
4(173) - 25 = 667
Round this number to the
nearest hundredth.
3.2369
Answer: 2.34
Step-by-step explanation:
After the decimal point it goes the tenth then the hundredth place. So that will be the second number after the decimal point. The question gives you a number and asks you to round to the hundredth place so you are going to first look what number is in the hundredth place and then look in the number after it. 3 is the number in the hundredth place and 6 is the number after. The rule is if the number is less than 5 the number stays as is and if the number is greater than 5 you round the number up. Since the number after the 3 is 6 you are going to round up. So the number rounded to the hundredth place is going to be 3.24.
can someone help me solve this step by step? I am very confused
To solve this problem, we need to use the basic trigonometric identities, which state that for any angle x:
sin^2(x) + cos^2(x) = 1
1 + tan^2(x) = sec^2(x)
1 + cot^2(x) = csc^2(x)
We can use these identities to simplify the expression (sin0 + cos0) = 2 + sec0 csc0/Sec0 CSC0. First, we note that sin0 + cos0 = 1, because sin^2(0) + cos^2(0) = 1. So, the left-hand side of the equation becomes 1 = 2 + sec0 csc0/Sec0 CSC0.
Next, we note that sec0 = 1/cos0 and csc0 = 1/sin0, so we can rewrite the right-hand side of the equation as 1 = 2 + 1/cos0 * 1/sin0 / Sec0 CSC0.
Then, we note that Sec0 = 1/cos0 and CSC0 = 1/sin0, so the right-hand side of the equation becomes 1 = 2 + 1/cos0 * 1/sin0 / 1/cos0 * 1/sin0. This simplifies to 1 = 2 + 1/cos0^2 * 1/sin0^2, which simplifies further to 1 = 2 + 1/cos0^2 / sin0^2.
Finally, we use the identity 1 + cot^2(0) = csc^2(0) to replace 1/sin0^2 with 1 + 1/cos0^2, which gives us 1 = 2 + 1/cos0^2 / (1 + 1/cos0^2). Solving for 1/cos0^2, we get 1/cos0^2 = -1. This means that cos0 = 0, which is not a valid value for the cosine function. Therefore, the original equation has no solution.
Your arguments are based on your stance or position, so review your product from the previous week. From which you must MAKE A MURAL (organize your ideas on the basis of what was analyzed in this using the various sources of resources). Do not forget, as part of your conclusion, to include a reflection on the importance of the role of women in achieving our well-being. MAKE A SKETCH HERE
To achieve our well-being, women are of the utmost importance because they develop many activities and tasks that contribute to this.
In the attached image we can see an example of a mural on the importance of women.
¿What is the importance of women for our well-being?The importance of women is based on elements such as:
It is a pillar in society that carries out different actions and activities that contribute to our well-being. It motivates and contributes to progress and development, key elements for general well-being.¡Hope this helped!
To achieve our well-being, women are of the utmost importance because they develop many activities and tasks that contribute to this.
¿What is the importance of women for our well-being?The importance of women is based on elements such as:
It is a pillar in society that carries out different actions and activities that contribute to our well-being.It motivates and contributes to progress and development, key elements for general well-being.Will mark brainliest
Find the first, second (median) and third quartiles.
1) 4, 6, 5, 6, 2, 7, 6, 8
First quartile =
Second quartile =
Third quartile =
Quartiles Worksheet
2) 17, 14, 20, 29, 12, 24, 10, 19
First quartile =
Second quartile =
Th
quartile =
3) 68, 88, 44, 68, 50, 68, 37, 50
First quartile =
Second quartile =
Third quartile =
4) 52, 60, 24, 36, 48, 52, 72
First quartile =
Second quartile =
Third quartile=
5) 102, 78, 312, 170, 250, 40, 52, 38, 125
First quartile =
Second quartile=
Third quartile=
The quartiles of each data set are explained below.
How to Find the Quartiles of a Data Set?To find the quartiles of a data set, first ordered the data. Thereafter, determine the following:
First quartile (Q1): the middle value of the first half of the dataSecond quartile (Q2): The center value that divides the data set into equal halves.Third quartile (Q3): The middle value of the second part of the data.1. Order the data set, 4, 6, 5, 6, 2, 7, 6, 8:
2, 4, 5, 6, 6, 6, 7, 8
The center of the data is between 6 and 6. Therefore, the middle = (6 + 6)/2 = 6. This means the median or second quartile = 6
Middle value of the first part of the data = (4 + 5)/2 = 4.5.
Middle value of the second part of the data = (6 + 7)/2 = 6.5
First quartile = 4.5
Second quartile = 6
Third quartile = 6.5
The same way we will also find the quartiles of the other given data set as stated below.
2. For 17, 14, 20, 29, 12, 24, 10, 19, we have:
First quartile = 13
Second quartile = 18
Third quartile = 22
3. For 68, 88, 44, 68, 50, 68, 37, 50, we have:
First quartile = 47
Second quartile = 59
Third quartile = 68
4. For 52, 60, 24, 36, 48, 52, 72, we have:
First quartile = 36
Second quartile = 52
Third quartile = 60
5. For 102, 78, 312, 170, 250, 40, 52, 38, 125, we have:
First quartile = 46
Second quartile = 102
Third quartile = 210
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The path of an arrow is given by the equation y = -0.1x² + x where x is the horizontal distance the arrow travels in yards and y is the height of the arrow in yards.
Which of the following choices is the vertex of the arrow?
O (5,5)
O
(2.5, 10)
(5, 10)
O (10, 10)
O (5, 2.5)
From the given choices, the vertex of the arrow will be equal to (5, 2.5). Hence, option D is correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the equation given in the question,
y = -0.1 x² + x
Substituting the values from the given options,
Firstly, check it from point (5, 5)
5 = -0.1(5)² + 5
5 = -2.5 + 5
5 ≠ 2.5, so it cannot be the answer.
Let's check from (5, 2.5)
Then,
2.5 = -0.1(5)² + 5
2.5 = -2.5 + 5
2.5 = 2.5, this one is correct.
The values obtained in this case are equivalent, or we can say that the horizontal distance the arrow travels is equal to the height of the arrow.
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A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 9.5% , and the tax in the second city was 10% . The total hotel tax paid for the two cities was 971.25
. How much was the hotel charge in each city before tax?
Answer: Let x = the charge in 1st city before taxes
Let y = the charge in 2nd city before taxes
Set up equation before taxes.
y = x - 1500 eq1
Set up equation for total tax paid.
0.065x + 0.06y = 378.75 eq2
Substitute eq1 into eq2.
0.065x + 0.06(x - 1500) = 378.75
0.065x + 0.06x - 90 = 378.75
0.125x - 90 = 378.75
0.125x = 468.75
x = 3750
Substitute this value of x into eq1.
y = 3750 - 1500
y = 2250
The hotel charge in city one is $3750 and the hotel charge in city two is $2250.
Step-by-step explanation:
Help pls this should be easy someone pls
Answer: the second one
Find the measure of ∠ 1
a 92°
b 58°
c 122°
d 30°
The value of ∠1 is 58 degree. So the option be is correct.
In the given question we have to find the measure of angle 1.
The given options are:
(a) 92 degree
(b) 58 degree
(c) 122 degree
(d) 30 degree
As we know that the triangle have three sides and three angles. The sum of all angles is 180 degree.
From the given question we can see that the
Angle two ∠2 = 92 degree
Angle three ∠3 = 30 degree
So ∠1+∠2+∠3 = 180
Now putting the value
∠1+92+30 = 180
∠1+122 = 180
Subtract 122 on both side, we get
∠1 = 58
Hence, the value of ∠1 is 58 degree. So the option be is correct.
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7. Which is the function that describes the table below?
Answer:
There is no such function
Step-by-step explanation:
They are all different functions
Let the function P be defined by P(x) = x³ + 2x² - 13x + 10. Mai divides P(x) by
x + 5 and gets:
x²-3x+2
x+5) x³ + 2x² - 13x + 10
−x3 – 5x2
-3x² - 13x
3x² + 15x
2x + 10
-2x - 10
0
How could we tell by looking at the
remainder that (x + 5) is a factor?
The roots of the equation are x1=1,x2=-5, and x3= 2.
What is the equation of root?Equation with quadratic roots. The quadratic equation's roots are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is the quadratic equation's root, f(x). Real roots of an equation f(x) = 0 are the x-coordinates of the places where the curve y = f(x) intersects the x-axis.
The equation x3+2x2-13x+10 has roots that you need to find.
x^3 + 2x^2 -13 x+10=0
In order to determine whether x=1 is a root for the equation, let's first start by substituting it:
1+2 -13 +10 =0
When one of the roots is x=1, a factor is (x-1)
We'll divide the function by the second component to determine it (x-1)
==> x^3 +2x^2-13x +10 =0
==> (x-1)(x^2+3x-10)=0
Consider factoring now:
==> (x-1)(x+5)(x-2)=0
==> x1=1,
x2=-5,
The roots of the equation are and x3= 2.
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College freshmen were asked if they were currently enrolled in Composition I. The results are shown in the table.
Males
Females
Column Totals 170
035
How many males are currently not enrolled in Composition 1?
046
Enrolled in Composition I Not enrolled in Composition I Row Totals
89
089
O 124
46
127
251
The solution is Option A.
The number of males that are not enrolled in Composition 1 is 35 males
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of males not enrolled in Composition 1 be = A
Now , the equation will be
The number of males enrolled in Composition 1 = 89 males
The number of females not enrolled in Composition 1 = 46 females
The row total of females = 127
So , the equation will be
The number of females enrolled in Composition 1 = row total of females - number of females not enrolled in Composition 1
Substituting the values in the equation , we get
The number of females enrolled in Composition 1 = 127 - 46
The number of females enrolled in Composition 1 = 81 females
Now ,
The total number of males and females enrolled = 170
Let the total number of males and females not enrolled = x
The row total of total males and females enrolled and not enrolled = 251
So , the equation will be
Total number of males and females not enrolled = row total of total males and females enrolled and not enrolled - total number of males and females enrolled
Substituting the values in the equation , we get
Total number of males and females not enrolled = 251 - 170
Total number of males and females not enrolled = 81
Now ,
The column total of males and females not enrolled = 81
So ,
The total number of males not enrolled = column total of males and females not enrolled - number of females not enrolled in Composition 1
Substituting the values in the equation , we get
The total number of males not enrolled = 81 - 46
The total number of males not enrolled = 35 males
Therefore , the value of A is 35 males
Hence ,
The number of males that are not enrolled in Composition 1 is 35 males
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Answer:
it is A
Step-by-step explanation:
simplify (z⁹z-3)-2
Please
Answer: [tex]z^{10}[/tex]-5
Step-by-step explanation:
If the fraction 374/x−10 is equivalent to −22, find the value of x. Show your work.
If the fractional expression (374/x−10) is equivalent to -22, then the value of [x] is → {x] = -7.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the fraction → (374/x−10) is equivalent to -22.
We have -
(374/x - 10) = - 22
374 = - 22(x - 10)
374 = - 22x + 220
374 - 220 = - 22x
154 = - 22x
x = - (154/22)
x = - 7
Therefore, if (374/x−10) is equivalent to -22, then the value of [x] is -7.
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unit 8 right triangles andtrigonometry
find each variable of 45degrees triangle hypotenuse 30 length x and y
The length of x is 30.
The length of y is 30.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Right triangle.
One angle = 90°
Other two angles = 45°
Hypotenuse = 30
The other two sides are x and y.
Now,
Tan 45 = x/30
1 = x/30
x = 30
Tan 45 = y/30
y = 30
Thus,
30 is the length of x.
30 is the length of y.
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ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
Here are ten numbers:
3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8
a) Write down the mode.
b) Work out the median.
c) Calculate the mean.
d) What is the range?
a) The mode of the data set is 7
b) The median of the data set is 6
c) The mean of the data set is 5.2
d) The range of the data set is 7.
Given,
Ten numbered data set; 3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8
We have to find the following;
a) Mode;-
Mode is the number that occurs the highest number of times.
Here,
7 is the most repeating number.
b) Median;-
Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).
Here,
5 and 7 are in the middle.
So, Median = 5 + 7 = 12/2 = 6
c) Mean;-
A dataset's mean is calculated by dividing the total number of values by the sum of all the values.
Here,
Mean = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 / 10 = 52/10 = 5.2
d) Range;-
The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.
Here,
Lowest number = 1
Highest number = 8
Range = 8 - 1 = 7
Therefore,
a) Mode = 7
b) Median = 6
c) Mean = 5.2
d) Range = 7
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1 inch = 3/4 feet so how many feet would be 9 inches?
Please help me:(
The number of feet in 9 inches is 6.75 feet.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 hour = 60 minutes
We have,
1 inch = 3/4 feet
Multiply 9 on both sides.
9 inches = 9 x 3/4 feet
9 inches = 27/4 feet
9 inches = 6.75 feet
9 inches = 6(3/4) feet
Thus,
The number of feet in 9 inches is 6.75 feet or 6(3/4) feet.
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As dry air moves upward, it expands. In so doing, it cools at a rate of about 1°C for every 100 m rise, up to about 12 km.
If the ground temperature is 18°C, write a formula for the temperature at height x km. T(x) =
What range of temperature will a plane be exposed to if it takes off and reaches a maximum height of 6 km?
Write answer in interval notation. The range is
The formula for the function T(x) is T(x) = 18 - x/100
The temperature at a height of 6 km is 17.94°CThe range in interval notation is (-oo, oo)The formula for the functionFrom the question, we have the following parameters that can be used in our computation:
Rate = 1°C for every 100 m rise
Ground temperature = 18°C
This means that the function can be represented as
T = Ground temperature (G) - Rate * Height (x)
Where
T is temperatureG is the temperature at ground level.x is the height above ground level measured in metersSo, we have
T(x) = 18 - x/100
The temperature at a height of 6 kmThis means that
x = 6
Recall that
T(x) = 18 - x/100
So, we have
T(6) = 18 - 6/100
Evaluate
T(6) = 17.94
The range in interval notationIn (a), we have
T(x) = 18 - x/100
This is a linear function
So, the range in interval notation is (-oo, oo)
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jermey swims 5 and 3/5 kilometers in a 7 day period he swims the same distance each day what distance does he swim in a day
Answer:
4/5 of a kilometer
Step-by-step explanation:
1 ) Turn 5 3/4 into a mixed number
5 3/5 = 28/5
2 ) Since we are trying to find the distance per day we can divide by 7/1
28/5 ÷ 7/1
3 ) The equals 4/5 which is our final answer!
Hope this helps! :)
Evaluate the expression for w=-5
2 w²-3(-9 w-40)²=
Submit
Answer: 25
Step-by-step explanation:
NO LINKS!! Help me with the 2-Column Proof Part 2aa
Here is the two column proof:
Statement Reason
M is the midpoint of AB GivenAM = AB/2 Definition of midpointMB = AB/2 Definition of midpointAM = AB Transitive property of equalityProved