The percentage of peanuts which this mixed nuts contained is 40%.
What is a proportion?A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
In order to determine the percentage of peanuts which this mixed nuts contained, we would develop a table of proportion to model the word problem as follows:
5 oz + 25 oz = 30 oz
5x + 25 = 30(0.9)
x + 5 = 6(0.9)
x + 5 = 5.4
x = 5.4 - 5
x = 0.4 ⇒ 40%.
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THIS ONE IS HARD SO PLEASE HELP ITS RSM....
AWNSER FOR EACH ONE (I WILL GIVE BRAINLIEST)
Y>0
Y<0
Y=0
The value of x when y=0 from the given absolute value equation is x=-1.
The graph for the absolute equation y=|x+2|-1 is given.
Rewrite in vertex form and use this form to find the vertex (h,k).
(-2, -1)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (-1,0),(-3,0)
y-intercept(s): (0, 1)
Here, y>0
So, 1=|x+2|-1
2=x+2
x=0
When y<0
So, -1=|x+2|-1
x+2=0
x=-1
When y=0
0=|x+2|-1
1=x+2
x=-1
Therefore, the value of x when y=0 from the given absolute value equation is x=-1.
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ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
6
17
90
102
Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
To find the value of m
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
Answer:
its 17. so B
Step-by-step explanation:
just did it
a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks How many ways can a person order a meal
A person can order a meal in 60 different ways.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks.
Here we will use the combination of the data.
To answer this we just need to multiply 3 x 4 x 5.
3 x 4 x 5 = 60
Therefore, 60 ways can a person order a meal.
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Question 9 of 10
How many terms are in the algebraic expression 3x² + 4y - 1?
OA. 3
OB. 4
C. 5a
Answer:
There are 3 terms
so it's answer A
Step-by-step explanation:
This is because terms are separated by + or - signs
Georgia buys 4 books online. Each book is the same price. She has a discount code
for $5 off the entire purchase. She pays a total of $60.
I need help on this homework
Answer:
(4,0) and (2,0)
Step-by-step explanation:
For an x-intercept, y=0, so now we have:
(x-4)(x-2)=0
Anything multiplied by 0 is 0, so (x-4)=0 and/or (x-2)=0
(x-4)=0
x=4
(x-2)=0
x=2
The x-intercept co-ordinates are: (4,0), (2,0)
Answer:
x-intercepts are (4,0) and (2,0)
help asap if you can pls an thank u!!!!!!!
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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Solve for x. Round to the nearest tenth, if necessary.
increase 320g in a ratio 5:2
Answer:5/2/320=900
Step-by-step explanation:
kwasi thought of a number, multiplied it by7/2 and added 16 to the results.if the final answer was 30.what number did he think of
Answer:
4
Step-by-step explanation:
represent the number he thought of with x\( \frac{7}{2} x + 16 = 30\)
multiply through with the LCM which is 2\(2 \times \frac{7}{2}x + 16 \times 2 = 30 \times 2 \)\(7x + 32 = 60 \)\(7x = 60 - 32\)\(7x = 28\)\( \frac{7x}{7} = \frac{28}{7} \)\(x = 4\)
16. If 45/n, what other whole numbers divide n? Why?
Answer:
1,3,5,9,15,45
Step-by-step explanation:
All factors of 45 to get a whole number
Answer:
90, 135, 180, 225, 270... ∞
Step-by-step explanation:
All multiples of 45 are divisible by n
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If y varies directly with x and y is 12 when x is 9, what is x when y is 4?
Answer:
3
Step-by-step explanation:
y/x=12/9=4/3
when y is 4 x is 3
Suppose A Monument in Texas casts a shadow of 285 feet. At the same time, a nearby tourist, who is 5 feet tall casts a 2.5 foot shadow. How tall is the Monument?
The height of the monument is 570 feet. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.
To solve this problem, we need to use the concept of similar triangles. We can set up a proportion: (height of Monument) / (length of Monument's shadow) = (height of tourist) / (length of tourist's shadow)
Let x be the height of the Monument. Then we have:
x / 285 = 5 / 2.5
Cross-multiplying, we get:
2.5x = 5 * 285
Simplifying, we get:
x = 570
Therefore, the Monument is 570 feet tall.
To find the height of the monument, we can use the concept of similar triangles. Since the shadow of the monument and the shadow of the tourist are cast at the same time, their angles of elevation are the same.
Set up a proportion using the height and shadow length of the tourist and the monument:
(height of monument) / (shadow of monument) = (height of tourist) / (shadow of tourist)
Let x represent the height of the monument. Then:
x / 285 = 5 / 2.5
Now, solve for x:
x = (5 / 2.5) * 285
x = 2 * 285
x = 570 feet
The height of the monument is 570 feet.
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Colton has a stone paperweight composed of a triangular pyramid on top of a triangularprism with the dimensions shown below. Use the drop-down menus to explain how todetermine the volume of the paperweight.7 in.4 in.5 in.5 in.
Which graph represents the linear equation y equals one half times x plus 2 on the coordinate plane? graph of a line passing through the points 0 comma negative 2 and 2 comma negative 1 graph of a line passing through the points negative 4 comma 0 and 0 comma 2 graph of a line passing through the points negative 5 comma 0 and 0 comma 1 graph of a line passing through the points 0 comma 1 and negative 4 comma 0
The graph which represents the linear equation y = 1/2 x + 2 is the graph of a line passing through the points (-4, 0) and (0, 2).
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
The slope intercept form of a line is,
y = mx + c,
m : slope and c : y intercept
y intercept is the y coordinate of a point when x coordinate equals 0.
Given linear equation is y = 1/2 x + 2.
m = 1/2 and c = 2
Find the slope and y intercept of each of the line in the options given.
In the first option, we have the point (0, -2).
y intercept of this line = -2, which is not the required y intercept.
In the second option, points given are (-4, 0) and (0, 2).
Since we have the point (0, 2), y intercept = 2
m = (2 - 0) / (0 - -4) = 2 / 4 = 1/2
So the line in the second option is the required line.
Hence the graph of the line represented in the second option is the required line.
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f(x) = 4x
х
g(x)
-2.
3.0625
-1
3.25
0
4
0 1
7
N
19
Answer:
the answer is for sure is x=-1-2
In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]
We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:
Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.
Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.
Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).
Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.
Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).
Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.
Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.
Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.
Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.
Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
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Given: Quadrilateral \(\displaystyle\sf ABCD\)
To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)
Proof:
1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).
2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).
3. In triangle \(\displaystyle\sf ACD\):
- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).4. In triangle \(\displaystyle\sf BCE\):
- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):
- \(\displaystyle\sf \angle BCE = \angle BCD\).6. Combining the equations from steps 3 and 4:
- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).
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calculate the lie factor of the following graph. do you think the concept of a lie-factor is useful or relevant in practice?
Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.
The lie factor is a measure of how much a graph distorts the data it represents. It is calculated by dividing the size of the effect shown in the graph by the size of the effect in the data. A lie factor of 1 indicates no distortion, while a lie factor greater than 1 indicates distortion. In practice, the concept of a lie factor can be useful to identify misleading graphs that exaggerate or downplay the significance of the data. However, it should be used in conjunction with other critical thinking skills and contextual understanding to fully evaluate the accuracy and relevance of a graph's message.
Therefore, The lie factor is a helpful tool to identify misleading graphs, but it should be used alongside critical thinking and contextual understanding.
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What is the square root of 3/4•3
Answer:
1.5 is your answer
Step-by-step explanation:
Answer:
5.0625
Step-by-step explanation:
Possible grades for a class are A, B, C, D, and F. a. How many ways are there to assign grades to a class of five students? [4 points] b. How many ways are there to assign grades to a class of seven students if nobody receives a Cand exactly three students receive a B? [4 points]
There are 35 * 81 = 2835 ways to assign grades in this specific scenario.
First, we choose 3 out of the 7 students to receive a B,
which can be done in 7C3 = 35 ways.
For the remaining 4 students, we have 3 possible grades (A, D, F) to assign.
There are 3^4 = 81 ways to assign these grades.
a. To assign grades to a class of five students, we have 5 possible grades (A, B, C, D, F) for each student.
Therefore, there are 5^5 = 3125 ways to assign grades to a class of five students.
b. For a class of seven students with no C grades and exactly three Bs, we are left with 4 possible grades (A, B, D, F) for each student.
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A rectangular flag i 40 centimeter by 72 centimeter. What are the dimenion of a cale drawing of the flag uing the cale 1:8?
320 cm by 576 cm
5 cm by 9 cm
4 cm by 7. 2 cm
1. 8 cm by 11. 11 cm
The dimensions of a scale drawing of a rectangular flag that is 40 centimeters by 72 centimeters using the scale 1:8 is 4 cm by 7.2 cm. Option C.
This is because a 1:8 scale means that for every actual unit of length, the corresponding length on the scale drawing is 8 times smaller.
Therefore, in order to find the dimensions of the scaled drawing of the flag, we must divide the actual dimensions (40 cm by 72 cm) by 8. The result is 4 cm by 7.2 cm.
It is important to make sure that you use the correct scale when attempting to determine the dimensions of a scaled drawing. If you use a different scale than the one intended, your result will be incorrect.
For example, if you use a 1:4 scale instead of a 1:8 scale, you will end up with a scaled drawing that has dimensions of 20 cm by 36 cm, which is double the correct answer.
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Solve (x 1)2 – 4(x 1) 2 = 0 using substitution. U = x 4(x 1) x 1 (x 1)2.
The value of `x` is either `-1` or `-3/4` when the equation `(x+1)² – 4(x+1) = 0` is solved using substitution by substituting
`U = x+1 / (x+1)²`.
Given expression is `(x+1)² – 4(x+1) = 0
`We are supposed to solve this equation using substitution by substituting
`U = x+1 / (x+1)²`
Now, let's substitute the given values in the above equation.
`U² - 4U = 0``U(U - 4) = 0`
Either `U = 0` or
`U - 4 = 0`
Now, let's substitute the value of `U` in the above equation to get the value of `x`.
If `U = 0` then `x + 1 = 0`.
Hence, `x = -1`
If `U - 4 = 0`
then `x + 1 = 1/4`.
Hence, `x = -3/4`
Therefore, the value of `x` is either `-1` or `-3/4` when the equation `(x+1)² – 4(x+1) = 0` is solved using substitution by substituting `U = x+1 / (x+1)²`.
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What’s the solution to 2x-2y=6 and 4x+4y=28
Answer
x=5 y=2
Step-by-step explanation:
Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the y-axis at (0, 9) and exits the plane at (8, 1). What is the domain of this function?
Answer:
The domain of y = f(x) is [0,8]
Step-by-step explanation:
Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.
So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.
So, the domain of the function y = f(x) is [0,8]
Answer:
y = f(x) is [0,8]
Step-by-step explanation:
solve the following quadratic equation by completing the square x^2 -8x=48
Answer: x=12,-4
Step-by-step explanation:
Calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall.
Answer:
Logic - BMI formula
703*(lbs/inches^2)
703(118/64^2)=703(118/4096)
703*0.0288=20.2464
The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
BMI stands for Body Mass Index.
It's a measure of body fat based on height and weight that applies to both adult men and women.
BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.
It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.
Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703
First, we need to convert the height into inches:5 feet 4 inches = 64 inches
Next, we plug the values into the formula and solve for the BMI:
BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464
Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.
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find the exact length of the curve,
`x=(1/8)y^4+1/(4y^2)`
`1<=y<=2`
please explain as thorough as possible
To find the exact length of the curve `x=(1/8)y^4+1/(4y^2)` from `y=1` to `y=2`, we can use the formula for arc length:
`L = int_a^b sqrt(1+(dy/dx)^2) dx`
In this case, `dx/dy` is given by:
`dx/dy = 2y^3/8 - y^(-3)/2`
Thus, `dy/dx` is the reciprocal:
`dy/dx = 1/(dx/dy) = 2/y^3 - 4y`
Substituting this into the arc length formula, we get:
`L = int_1^2 sqrt(1+(2/y^3-4y)^2) dy`
This integral is not easy to solve analytically, so we can use numerical methods to approximate the value of `L`. One such method is the trapezoidal rule:
`L ≈ h/2 [f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]`
where `h = (b-a)/n` is the step size and `n` is the number of subintervals.
Applying this to our integral with `n = 10`, we get:
`L ≈ 1/20 [sqrt(17) + 2sqrt(10) + 2sqrt(5) + 2sqrt(2) + sqrt(13)]`
which is approximately `3.888`.
Therefore, the exact length of the curve is approximately `3.888` units.
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Jada’s dog was 5 & 1/2 inches tall when it was a puppy. Now her dog is 14 & 1/2 inches taller than that. How tall is Jada’s dog now?
Answer:
20 inches tall
Step-by-step explanation:
To find the dog's current height, add 14.5 to 5.5
5.5 + 14.5
= 20
So, Jada's dog is now 20 inches tall
Answer:
20 inches tall
What is the tallest and shortest plant heights ?
In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.
For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.
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A 38.3
B 12.4
C 35.6
D 24.1