Out of the given options, the number of students with blue eyes, brown eyes, and hazel eyes can be determined using the information provided in the question.
Explanation:Let's assume the number of students with hazel eyes is x. According to the given information, the number of students with blue eyes is 2 less than x, so it is x - 2. Additionally, there are twice as many students with brown eyes, so the number of students with brown eyes is 2x. The total number of students in the class is given as 34, so we can set up an equation:
x + (x - 2) + 2x = 34
Simplifying this equation, we get 4x - 2 = 34. Adding 2 to both sides, we have 4x = 36. Dividing both sides by 4, we find that x = 9.
Therefore, the number of students with blue eyes is 9 - 2 = 7, the number of students with brown eyes is 2(9) = 18, and the number of students with hazel eyes is 9. Thus, the correct options are a. 8, c. 12, and f. 34.
Learn more about Number of students with different eye colors here:https://brainly.com/question/32442090
#SPJ2
in the diagram below bc is an altitude of abd.to the nearest whole unit.what is the length of cd
The trigonometric function gives the ratio of different sides of a right-angle triangle.The correct option is C.
What is Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
Let the length of the line segement CD be represented by x.
In ΔABC, Using the pythgorus theorem, we can write,
AB² = BC² + AC²
AB² = 30² + 16²
AB = 34 units
In ΔABC, the measure of ∠A be written as,
tan(∠A) = BC/AC
tan(∠A) = 30/16
∠A = tan⁻¹ (30/16)
∠A = 61.9275°
Now, in ΔABD, the measure of ∠A can be written as,
Cos(∠A) = AB/AD
Cos(61.9275°) = 34/(AC+CD)
0.47 = 34/(16+CD)
16 + CD = 72.25
CD = 56.25 ≈ 56
Learn more about Trigonometric functions:
https://brainly.com/question/6904750
#SPJ2
what is the surface area of a square pyramid if the base has an area of 16cm2 and lateral faces have a slant height of 12cm?
Answer:
Surface area of a square pyramid is:
112 cm²
Step-by-step explanation:
The surface area of square pyramid is given by:
S=2bs+b²
Where b is the length of base and s is the slant height.
and Area of base=b²
Here, s=12 cm
and Area of base=b²=16 cm²
⇒ b=4 cm
Hence, Surface Area=2×12×4+4×4
= 112 cm²
Hence, surface area of a square pyramid is:
112 cm²
Which of the following is not a perfect square?
A) 49
B) 121
C) 75
D) 64
1. Write the rule for finding a point translated vertically k units up.
2. Use this rule to find the coordinates for (−3, −6) when translated 5 units up.
Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women. please make a table with each paet labeled
The table of contents for the equations is solved
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 equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total number of people = 76
The number of people who opted for lunch = 28
The number of people who opted for dinner = 33
The number of males who opted for dinner = 19
The number of females who opted for lunch = 18
The total number of females = 36
Now , the table is created from the following equations
+-----------+-------+---------+-------+
| | Males | Females | Total |
+-----------+-------+---------+-------+
| Breakfast | 11 | 4 | 15 |
+-----------+-------+---------+-------+
| Lunch | 10 | 18 | 28 |
+-----------+-------+---------+-------+
| Dinner | 19 | 14 | 33 |
+-----------+-------+---------+-------+
| Total | 40 | 36 | 76 |
+-----------+-------+---------+-------+
Hence , the equations is solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ3
Could somebody please help me I dont understand how to do this problem
LMN≅PQR What is the value of x in degrees?
Enter your answer in the box.
x = °
Since angle LMN = angle PQR, angle M = angle Q
Since angle Q = 55 degrees, Angle M also = 55 degrees
We know that the three angles of a trainangle should be equal to 180 degrees
So, L + M + N = 180
Angle L is the unkown x
x + 55 + 39 = 180
x +94 =180
x = 180-94
x = 86 degrees
A traveler is walking on a moving walkway in an airport The Traveler must walk back on the walkway to get a bag he forgot the Travelers ground speed is 2ft/s against the walkway and 6ft/s with the walkway what is the Travellers speed off the walkway what is the speed of the moving walkway
The speed of the traveler off the walkway is 4ft/s, while the speed of the moving walkway is 2ft/s. This is found by simultaneously solving the equations formed by the given speeds of the traveler with and against the walkway.
Explanation:The speed of the traveler, independent of the moving walkway, as well as the speed of the moving walkway itself can be determined using the given speeds of the traveler with the walkway and against it. When the traveler walks in the same direction as the moving walkway, their speeds add together, which is given as 6ft/s. Conversely, when the traveler walks against the movement of the walkway, their velocities subtract which is given as 2ft/s.
That is to say, if we denote the traveler's speed as *T* and the walkway's as *W*, then we have these two equations: *T* + *W* = 6, and *T* - *W* = 2. Solving these equations simultaneously, we find that *T* = 4ft/s, which is the traveler's speed off the walkway, and *W* = 2ft/s, which is the speed of the moving walkway
Learn more about Speed Calculation here:https://brainly.com/question/19930939
#SPJ3
BRAINLIEST to the correct answer Which measure(s) of center best derceibe(s) the data Explain. {10,10,10,10,1010,10,60} Mean Median or Mode
Mode.
The number that appears the most is 10, so it's mode.
what are the solutions to the equation
[tex] {x}^{2} = 625[/tex]
How do you find the diameter of 12 inches
Describe the domain and range for
Please I need help with this question
A spinner and 4 cards are shown below: A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them. Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected? 1 over 20 1 over 5 1 over 4 9 over 20
[tex] |\Omega|=5\cdot4=20\\
|A|=1\\\\
P(A)=\dfrac{1}{20} [/tex]
The probability that the spinner stops at purple and a pink card is selected is 1/20
How to determine the probability?The given parameters are:
Spinner = {Green, Blue, Purple, Yellow, Red}Cards = {Red, Yellow, Blue, Pink}There is 1 purple color on the spinner and 1 pink card in the card.
So, the probability that the spinner stops at purple and a pink card is selected is:
P(Purple and Pink) = 1/5 * 1/4
Evaluate the product
P(Purple and Pink) = 1/20
Hence, the probability that the spinner stops at purple and a pink card is selected is 1/20
Read more about probability at:
https://brainly.com/question/251701
COMPLETING THE SQUARE
2x^2 -4x+3=9
2. QUADRATIC FORMULA
2x^2+4x=0
The word pluralistic contains the root pour which means more what does pluralistic mean?
The pluralistic culture of the United States encourages people from around the world to apply for citizenship
A) patriotic
B) diverse
C) receptive
D) unified
The word pluralistic means diverse.
Pluralistic:
'Anything pluralistic involves a diversity of different ideas or people. A pluralistic society is a diverse one, where the people in it believe all kinds of different things and tolerate each other’s beliefs even when they don’t match their own'
According to the given question,
'The diverse culture of the United States encourages people from around the world to apply for citizenship.'
Hence, we can conclude that that diverse is the correct meaning for pluralistic.
Learn more about pluralistic here:
https://brainly.com/question/24540825
#SPJ2
Find the measure of JEF
A)16
B)74
C)82
D)164
Answer:
16
Step-by-step explanation:
I just submitted it on USA Test Prep
There are only blue sweets,green sweets and red sweets in a box. The ratio of the number of blue sweets to the number of green sweets is 2:7. The ratio of the number of green sweets to the number of red sweets is 3:1. There are less than 140 sweets in the box. What is the greatest possible number of red sweets in the box?
Answer:
The greatest possible number of red sweets is 28.
Explanation:
Let g represent the number of green sweets. We know that the ratio of blue to green is 2:7; this means the number of blue sweets is 2/7 the number of green sweets, or 2/7g.
We also know that the number of green sweets to the number of red sweets is 3:1; this means the number of red sweets to the number of green sweets is 1:3, or that the number of red sweets is 1/3 the number of green sweets:
1/3g
We know that there are fewer than 140 total sweets; this gives us the inequality
g + 2/7g + 1/3g < 140
We must find a common denominator; 21 will work:
21/21g + 6/21g + 7/21g < 140
34/21g < 140
Divide both sides by 34/21:
(34/21g)÷(34/21) < 140÷(34/21)
g < 140÷(34/21)
To divide fractions, flip the second one and multiply:
g < 140×(21/34)
g < 2940/34
This means the number of red sweets will be 1/3 of this:
r < 2940/34 × 1/3
r < 2940/102
102 will go into 2940 28 times, so 28 is the largest number of red sweets.
Greatest possible number of red sweets in the box will be 28.
It's given in the question,
Ratio of the number of blue (b) and green sweets (g) = 2 : 7[tex]\frac{b}{g}=\frac{2}{7}[/tex] ⇒ [tex]b=\frac{2}{7}g[/tex] ------(1)
Ratio of the number of green (g) and red sweets (r) = 3 : 1[tex]\frac{g}{r}=\frac{3}{1}[/tex] ⇒ [tex]r=\frac{1}{3}g[/tex] -------(2)
Since, total number of blue, green and red sweets in the box are less than 140,
[tex]b+g+r< 140[/tex]
Substitute the values of 'b' and 'r' from equations (1) and (2),
[tex]\frac{2}{7}g+g+\frac{1}{3}g< 140[/tex]
[tex]\frac{6g+21g+7g}{21}< 140[/tex]
[tex]\frac{34}{21}g< 140[/tex]
[tex]g< \frac{140\times 21}{34}[/tex]
Since, [tex]g=3r[/tex],
[tex]3r< \frac{140\times 21}{34}[/tex]
[tex]r< \frac{140\times 21}{34\times 3}[/tex]
[tex]r<28.82[/tex]
Therefore, greatest possible number of red sweets will be 28.
Learn more,
https://brainly.com/question/24669471
In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing?
Using proportions, it is found that the scale of the drawing is of 1 ft:0.4 cm.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that 35 cm represent 87.5 ft. How many cm represent a ft?
The rule of three is given by:
35 cm - 87 ft
x cm - 1 ft
Applying cross multiplication:
[tex]87x = 35[/tex]
[tex]x = \frac{35}{87}[/tex]
[tex]x = 0.4[/tex]
Hence, the scale of the drawing is of 1 ft:0.4 cm.
More can be learned about proportions at https://brainly.com/question/24372153
Evaluate.
7 with a 3 on top
A) 21
B) 49
C) 81
D) 343
Explain what happens at the saturation point when adding salt to water at room temperature
Two acute angles can be which of the following?
I. congruent
II. adjacent
III. complementary
IV. supplementary
A. I and II
B. I and III
C. I, II, III
D. I, II, and IV
solve the system of equations by substitution ×+y=44 y=10x
We can solve the system of equations x + y = 44 and y = 10x by substitution. When we substitute y = 10x into the first equation, we find that x = 4. Substituting x = 4 into the equation y = 10x gives y = 40.
Explanation:To solve the system of equations by substitution, we first identify the two equations given: x + y = 44 and y = 10x. We can use the second equation as our substitution into the first equation. This gives us x + 10x = 44, which simplifies to 11x = 44. Solving for x, we divide both sides by 11 to get x = 4.
Next, we substitute x = 4 into the second initial equation, y = 10x, which gives us y = 10*4 = 40.
So, the solution to this system of equations is x = 4 and y = 40.
Learn more about Substitution Method here:https://brainly.com/question/14619835
#SPJ3
can someone help me
Luis earns a base salary of $150.00 every week with an additional 14% percent commission on everything he sells. Luis sold \$6050.00 worth of items last week.What was Luis's total pay last week?
3(x - 9) = -39
solve and check solution
paula earned a 56% on her science test if she got 14 problems correct then how many questions were on the test
Let f(x) = -5x -4 and g(x) = 6x -7. Find f(x) + g(x)
Answer options
-11x = 3b
x - 11
-11x - 11
x + 3
Answer:
Second option.
Step-by-step explanation:
f(x) + g(x) = -5x-4 + 6x-7 = -5x + 6x - 4 - 7 = x - 11.
Jose worked n hours at 8.75 per hour.he made a total of 61.25. Write an expression that represents the total number of hours hose work
Locate the prepositional phrase and type it in the blank. Then, identify the function of the phrase. Above the door hung a horseshoe. prepositional phrase: function of phrase: (Type adjective or adverb ).
The function of this prepositional phrase is adverbial, specifically it acts as an adverbial phrase of place, modifying the verb "hung". It answers the question "where?" in relation to the action of hanging.
The prepositional phrase in the sentence "Above the door hung a horseshoe" is "above the door".
This phrase describes the location of the horseshoe relative to the door. It specifies that the horseshoe is positioned vertically higher than the door. Prepositional phrases function as adjectives or adverbs by providing additional information about nouns (in this case, "door") or verbs (in this case, "hung"). In this context, "above the door" modifies the action of "hung" by indicating where the horseshoe is located.
Complete answer
Locate the prepositional phrase and type it in the blank. Then, identify the function of the phrase. Above the door hung a horseshoe. prepositional phrase: function of phrase: (Type adjective or adverb ):