Answers
Answer:
Q4) 256 roses
Q5) 40 hamburgers
Q6) 60 professors and 168 lecturers
Q7) 20 percussionist on the sideline
Step-by-step explanation:
Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:
I) 160:5 = x:8 (using colon) or
II) 160/5 = x/8 (as two equal fractions)
You can use one of the two above.
I used the fractions here to solve the question.
After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:
160×8 = 5×x
1280 = 5x
5x = 1280
Now you have to divide on both sides to isolate x.
5x÷5 = 1280÷5
x = 256
Therefore your answer is 256 roses.
Q5) Use the same method in Q4.
Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.
First thing your going to do is add the proportion together. So basically 5+14=19.
After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.
And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12
60:168
To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.
Your final answer: There are 60 professors and 168 lecturers.
Q7) Use the same method done in Q6.
I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.
Related Questions
is the relashionship between the number of slices of salami in a sandwhich and the number of calories proportional? why?
Answers
Answer:
The number of slices of salami and the number of calories are not proportional. Step-by-step explanation: we know that. A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or . In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Step-by-step explanation:
There are 20 black, 15 white, 12 green, 12 red, 9 blue, and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?
Answers
Answer:
All of them lol.
Step-by-step explanation:
If you take all of them, you have a 100% chance at getting at LEAST 3 candies of the same color.
At a carnival game, you randomly throw two darts at the board and break two balloons. There are 15 balloons in total, 4 of them being purple. What is the probability that both the balloons you break are purple? Write your answer as a fraction.
Answers
Answer:
1/3.75
Step-by-step explanation:
Which of these tables is a non linear function
Answers
Answer:
C
Step-by-step explanation:
Because on all the graphs all the numbers on the Y side are essentially adding one. With the 3rd graph, it goes from 17 to 19, skipping 18. Therefore it is not linear.
On Sunday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers solid was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
Il hamburgers
Answers
Answer:
134 hamburgers sold on Sunday
Step-by-step explanation:
x+3x=536
4x=536
4x/4=x, 536/4=134
x=134
Find the value of x.
Answers
Answer:
x = 25
Step-by-step explanation:
Internal angles of a triangle = 180 degrees
So knowing this we can form the following equation
(x + 26) + (x + 14) + (4x - 10) = 180
Simplify
(x + x + 4x) + (26 + 14 - 10) = 180
6x + 30 = 180
Rearrange for x
6x = 180 - 30
6x = 150
x = 25
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
According to angle sum property of the triangle, we can say that :
[tex](x + 26) \degree + (4x - 10) \degree + (x + 14) \degree = 180 \degree[/tex][tex]x + 4x + x + 26 \degree - 10 \degree + 14 \degree = 180 \degree[/tex][tex]6x + 30 \degree = 180 \degree[/tex][tex]6x = 180 \degree - 30 \degree[/tex][tex]6x = 150 \degree[/tex][tex]x = \dfrac{150 \degree}{6} [/tex][tex]x = 25 \degree[/tex]Help me I HATE MATH!!!
Answers
Answer:
2, 3, ,6 ,9. (YOUR ANSWER)
All numbers listed below!
15282 ÷ 1 = 15282
15282 ÷ 2 = 7641
15282 ÷ 3 = 5094
15282 ÷ 6 = 2547
15282 ÷ 9 = 1698
15282 ÷ 18 = 849
15282 ÷ 27 = 566
15282 ÷ 54 = 283
15282 ÷ 283 = 54
15282 ÷ 566 = 27
15282 ÷ 849 = 18
15282 ÷ 1698 = 9
15282 ÷ 2547 = 6
15282 ÷ 5094 = 3
15282 ÷ 7641 = 2
15282 ÷ 15282 = 1
1, 2 , 3, 6, 9, those are the factors there is more but for the question above
what does a dilation preserve?
Answers
Answer: Dilations preserve angle measure, betweenness of points and collinearity.
Step-by-step explanation: Dilations preserve angle measure, betweenness of points and collinearity. It does not preserve distance. Simply, dilations always produce similar figures .
Plz help ASAP <3
james draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper. what is the equation of the line?
A) y= 5/3 x + 3
B) y=5/3 x - 5
C) y=3/5 x - 5
D) y= 3/5 x + 3
Answers
Answer:
the answer is D
Step-by-step explanation:
yeah-ya..... right?
The equation of line will be;
⇒ y = - 3/5x + 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.
Now,
Since, James draws a line that has an x-intercept of "-5" and y-intercept of 3 on a piece of graph paper.
Hence, The slope of the line = - 3/5
And, The y - intercept = 3
Thus, The equation of line will be;
⇒ y = - 3/5x + 3
Learn more about the equation of line visit:
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if ∠1 and ∠2 are complementary angles, ∠1 and ∠3 are vertical angles, and m∠2 = 36°, find m∠3.
Answers
Answer:
28>
Step-by-step explanation:
I need the image below answered:
Answers
Answer:
first 3 options
Step-by-step explanation:
the first 3 options are the ans
2(x+2)(x-2)+(x-3)(2x-1)
Answers
Step-by-step explanation:
this is the answer thank you
The product of a number and 9,
increased by 4, is 58. Find the
nurnber.
Answers
58-4 is 54 and 54 divided by 9 is 6
So, the product of 6 and 9 (54) increased by 4 (54+4) is 58
Miles and Ella have an equal number of stickers. They find ________more stickers which brings the total number of stickers to ________.How many stickers do Miles and Ella ha
Answers
Answer:
I just made my own numbers I put 6 in the first black and 18 in the next. the boxes just say what happened
Step-by-step explanation:
Miles and Ella have an equal number of stickers. They find ____6____more stickers which brings the total number of stickers to ____18____.How many stickers do Miles and Ella ha
MILES AND ELLAS STICKERS
FOUND STICKERS
TOTAL STICKERS
3 A formula for 6 gallons of light green paint uses gallon of white paint. Liam has is gallon of white paint . 3 8 16 a. Does Liam have enough white paint to make 8 gallons of light green paint? If not, how much more does he need? Show your work SOLUTION
Answers
Answer:
Yet, the amount of white paint is sufficientStep-by-step explanation:
Use ratios to find the required amount:
6 gal → 3/8 gal8 gal → xx = 8*(3/8) : 6 = 3/6 = 1/2 gal9/16 is more than 1/2 so it should be enough
Answer:
White paint is Adequate.
Step-by-step explanation:
[tex]\sf\sf\longmapsto \: 6 \: gallons = \: \frac{3}{8} \: gallons[/tex]
[tex]\sf\longmapsto \: x = 8 \: gallons[/tex]
[tex]\sf\longmapsto \: x = \: 8 \times \frac{3}{8} : 6[/tex]
[tex]\sf\longmapsto \: \frac{3}{6} \: gallons[/tex]
[tex] \sf\longmapsto\frac{1}{2} \: gallons[/tex]
Therefore,It should be sufficient as 9/16 is more than 1/2
25 POINTS AND BRAINLIEST
The sets of numbers 6, 8, 10 and 5, 12, 13 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples!
YALL DONT GIVE ME A COLLEGE ANSWER TRY TO DUM IT DOWN THANKS! <3
Answers
Answer:We know that the Pythagorean Theorem is a² + b² = c². First lets start with 6, 8, and 10. There is a simple way to know that these are Pythagorean triples. They make up what is called a 3-4-5 triangle. 3 x 2 is 6, 4 x 2 is 8, and 5 x 2 is 10. Next 5, 12, and 13 are Pythagorean triplets because 5² + 12² = 13². Because both of these form right triangles, we know that they are Pythagorean triplets.
Hope this helps!
Step-by-step explanation:
Plz brainliest
The Pythagorean triples are those three numbers of which the square of a number is the sum of the squares of the other two numbers.
What is Pythagorean Theorem?According to the Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the base and height.
Given, three numbers are 6, 8, 10.
It is clear that, 6² + 8² = 36 + 64 = 100 = 10². Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 10 and other two sides are 6 and 8 respectively.
Again, three numbers given: 5, 12, 13.
It is also clear that, 5² + 12² = 25 + 144 = 169 = 13².Therefore, these three numbers are Pythagorean triples. Hence, for a right-angled triangle, the hypotenuse is 13 and other two sides are 12 and 5 respectively.
Learn more about the Pythagorean Theorem here: https://brainly.com/question/16426393
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8) 8 kg of apples cost Rs.800, what is the cost of 15 kg of apples?
Answers
Answer: 4
Step-by-step explanation:Using unitary method :-
5 kg apple → 600 Rs
1 kg apple →
5
600
= 120 Rs
27 kg apple →120×27=3240 Rs
what is the answer I need some help
Answers
Answer:
relations 1 and 2 only
I hope it's the right answer
subtract from 15 the sum of 2⅓ and 4⅖
Answers
Answer:
-8 4/15
Step-by-step explanation:
[tex]2\frac{1}{3} + 4\frac{2}{5} -15[/tex] [tex]\frac{7}{3} +\frac{22}{5} -15[/tex] [tex]\frac{35}{15} + \frac{66}{15} - 15[/tex] [tex]\frac{101}{15} - 15[/tex] [tex]6\frac{11}{15} - 15[/tex] [tex]\frac{-124}{15}[/tex] [tex]-8 \frac{4}{15}[/tex]i am thinking of a number my number is a multiple of 6 what three other numbers must my number be a multiple of
Answers
Answer:
6,4,2
Step-by-step explanation:
36 = 6*6
36= 4*9
36= 2*18
Answer: 1, 2 and 3
Step-by-step explanation:
The other three numbers will be factors of 6. This is because every multiple of 6 will also be a multiple of every factor of 6.
Factors of 6 are:
1, 2, 3 and 6.
PLEASE SHOW WORK AND I'LL MARK BRAINLIEST
The regression equation y=-0.433x+104.94 approximates the percent of people in an audience who finish watching a documentary, y, given the length of the film in minutes, x.
What is the best prediction for the percent of people in an audience who will finish watching a documentary that is 60 minutes long? (Round your answer to the hundredths place and Do not include the percent sign in your answer as the computer knows it is a percentage)
You must show your work on this problem to receive credit.
Your Answer:
Answers
Answer:
78.96Step-by-step explanation:
Substitute x with 60 into the regression equation and evaluate:
y = -0.433*60 + 104.94 = 78.96%can anyone please send the answer with steps please
if nonsense answers I will report so please answer property
Answers
What is the 6th term in the sequence below?
4,-8, 16, -32,
Answers
Answer:
−128
Step-by-step explanation:
Assuming the pattern continues...
Answer:
[tex]128[/tex]
Step-by-step explanation:
We see that this is a geometric series with common ratio [tex]-2[/tex].
So, the 6th term is the 4th term times [tex](-2)^2=2^2=4[/tex].
So, the answer is [tex]4(-32)=\boxed{128}[/tex] and we're done!
Note:
The closed form for this geometric series is [tex]4*(-2)^{n-1}[/tex], which means the nth term is always [tex]4*(-2)^{n-1}[/tex].
The surface area in square meters of the human body can be found using the expression √hm/3600 where h is the height in centimeters and m is the mass in kilograms. find the surface area of a 15-year-old boy with a height of 183 centimeters and a mass of 74 kilograms. (√ = square root)
Answers
The surface area is a function of height and mass of the body
The surface area of the 15-year-old boy is 1.92 cm square
The given parameter is:
[tex]A = \sqrt\frac{{hm}}{3600}[/tex]
When h = 183 cm ad m = 74 kg
The function becomes
[tex]A = \sqrt{\frac{180 \times 74}{3600}[/tex]
[tex]A = \sqrt{\frac{13320}{3600}[/tex]
[tex]A = \sqrt{3.7}[/tex]
[tex]A = 1.92[/tex]
Hence, the surface area of the 15-year-old boy is 1.92 cm square
Read more about functions at:
https://brainly.com/question/15005181
What are the correct answers to this geometry question?
Answers
Answer:
Ti = 5
AT = 6
Kt = 10
Ai = 11
ke = 19
ae = 15
Step-by-step explanation:
The density of an object is calculated using the formula D=m/v where m
is the object's mass and V is its volume. Gold has a density of 19.3 g/cm^3”. What is
the volume of an amount of gold that has a mass of 96.5 g?
*If y’all can do this and show all the work that would be awesome! I have to show work to my teacher in order for her to grade it and I have a D in her class so please help!*
Answers
D = m/V
Multiply both sides by V:
D(V) = m/V (V)
DV = m
Divide both sides by D to isolate V
DV/D = m/D
V = m/D (this is the formula needed for volume).
Next, substitute the given values for density and mass:
V = 96.5g/19.3g/cm^3
V = 5 cm^3
Therefore, the volume of an amount of gold that has a mass of 96.5 g is 5 cm^3.
Please mark my answers as the Brainliest, if you find this helpful :)
4 digit number that is not divisoble by 2,3,5 or 10
Answers
Answer:
isiiqywyysyu the first one the first time in a even if it well y eh I just saw your message garako thiya na na hey I k h I just got home from a ko xa ki xaina the morning to get well soon dd ko we
Step-by-step explanation:
eheuieiriieu to be ei ufuirijwjjeuuwuw to jnndhejfjitAgain I need help thank you :)
Answers
Explanation:
A line parallel to the y-axis would have the same slope, and the slope of the y-axis is zero.
If the slope is zero and the line passes through the point (-10,-7), the y-intercept for the line is -7.
y = mx + b
y = 0x - 7
(zero x is just zero, so:)
y = -7
I don't know this question will u help
Answers
Answer:
Step-by-step explanation:
It is one
Answer:
f(x)=(2/3)x+(4/3)
Step-by-step explanation:
find gradient,m
(4-2)/4-1)=2/3
m=2/3
find y intercept
(4-c)/(4-0)
c=4/3
y=mx+c
f(x)=(2x3)x+(4/3)
The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept
form that represents the diver's depth over time.
Answers
Answer:1/2 (1 over 2)
Step-by-step explanation:
Answer:
get it from some else pllease
Step-by-step explanation:
type this in
The graph shows a scuba diver's ascent over time. Use the graph to write an equation in slope-intercept form that represents the diver's depth over time.