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in a class of 80 students 3/4 study biology and 3/5 study physics. if each student studies at least one of the subjects. (1) Draw a venn diagram to represent this information. (2) how many students study both subjects (3) find the fraction of the class that study Biology but not physics
According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.
Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:
Biology: 80 x 3/4 = X 80 x 0.75 = X 60 = X Physics: 80 x 3/5 = X 80 x 0.60 = X 48 = X 60 + 48 - 80 = X 108 - 80 = X 28 = XTherefore, 28 students study both subjects.
68 - 28 = 40 80 = 1 40 = 1/2Therefore, 1/2 of the class studies biology but not physics.
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Which graph represents the following relationship between X and y. Y=3x
Answer:
B
Step-by-step explanation:
Because each Y value is found by multiplying X value by 3
please help if you dont know dont answer!!!
Answer:
(6,3), (10,5),(14,7)
Step-by-step explanation:
6/3 = 2
10/5 = 2
14/7 = 2
5/8-(1/4) to the power of 2
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{5}{8}[/tex] - [tex](\frac{1}{4}) ^{2}[/tex]
= [tex]\frac{5}{8}[/tex] - [tex]\frac{1}{16}[/tex]
= [tex]\frac{10}{16}[/tex] - [tex]\frac{1}{16}[/tex]
= [tex]\frac{9}{16}[/tex]
find the slope of the line passing through the points (9,-9) and (1,-1)
Answer:
The slope is -1
Step-by-step explanation:
Slope formula:
In (9,-9): 9 is x1 and -9 is y1
In (1,-1): 1 is x2 and -1 is y2
m= y2-y1/x2-x2
m= -1+9/1-9
Which is 8/-8
Simplify:
-1
The slope is -1
Hope this helps!
Answer:
-1
Step-by-step explanation:
To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.
Rewrite the following equation in slope-intercept form.7x − 15y = –18
Answer:
Y = 7/15x + 6/5
Step-by-step explanation:
7x - 15y = -18
7x = 15y - 18
7x + 18 = 15y
7/15x + 6/5 = y
Hope this helps! Pls give brainliest!
We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation
7x - 15y = - 18
7x + 18 = 15y
⁷/₁₅ x + ¹⁸/₁₅ = y
∴ the slope-intercept form of 7x − 15y = –18 is y = ⁷/₁₅ x + ⁶/₅
How do I solve 5x - 4x^2
Answer:
If you are asking,
5x - 4x^2=0
x(5-4x)=0
Either,
x=0
or,
5-4x=0
x=5/4
If factor,
5x - 4x^2
x(5-4x)
If difference,
5x - 4x^2
The same as they are not like terms.
what is the equivalent value
1/2×6
Answer:
3
Step-by-step explanation:
Answer:
3Step-by-step explanation:
what is the equivalent value
1/2×6?
1/2 * 6 =
3
The annual average rainfall in new york is 50 ⅕ inches
Per year. Write this fraction as a decimal. HELPPP
50.2 should be the anwser i doubled checked with search
and it says it is correct so it should be good.
Step-by-step explanation:
math
find f'(x)of f(x)=x^2-6x
Answer:
[tex]f(x) = {x}^{2} - 6x \\ {f}^{'} (x) = 2x - 6 \\{f}^{'} (x) = 2(x - 3)[/tex]
how do i write 5z in expanded notation
what is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5?
Answer:
y= mx+c
-4= -3/5(-5) + c
-4= -3/5 *-5+ c
-4=3+c
-4-3=c
-7=c
therefore the equation of the line is y=-3/5x-7
Step-by-step explanation:
the equation of a line is
y=mx +c
where y is the y coordinate
where m is the slope
where x is the x coordinate
where c is the y- intercept
what is the ratio of 22 and 8
if some one can bike 32 miles in 160 minutes how long will it take them to go 1 mile
The period of the function, y=cos(4x)is how many degrees?
Please Answer correctly
Answer:
I Think 2.
Step-by-step explanation:
If im correct pls give brainliest im tired thx! :D
[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]
[tex]\huge\underline\mathsf\colorbox{white}{2}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{I'm Sure}[/tex]
[tex]\huge\mathsf\colorbox{white}{}[/tex]
Evaluate for a:
69 = 13 - 7/12a
Answer:
-96
Step-by-step explanation:
69-13=13-7/12a-13
56=-7/12a
56 times 12=-7/12 times 12
672=-7a
Move negative over
-672=7a
-672/7=a
a=-96
What is the greatest common factor of 8m2, 4m, and 10m4?
Answer:
2m²
Step-by-step explanation:
Apply the prime factorization method: 2³m², 2 · 5m⁴
Find the greatest common divisor: 2m²
Answer: 2m²
the temperature of an enclosure for a pet snake should be about 80f, give or take 5. find the maximum and minimum temperatures
Answer:
The max is 85F
The min is 75F
Step-by-step explanation:
Happy To Help :)
Use the remainder theorem to determine whether x=-4 is a solution of
[tex] {x}^{6} + {5x}^{5} + {5x}^{4} + {5x}^{3} + {2x}^{2} - 10x - 8[/tex]
Answer:
The remainder is zero. Then x = –4 is a solution of the given equation.
Hello haohaoxNienie!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
Refer to the attached picture.
Steps :-First find the divisor using the given information (x = - 4).Now, divide x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8 by x + 4.We'll get the remainder as 0.Using the remainder theorem & solving it, we'll get LHS & RHS as 0.Hence proved.Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.
__________________
Hope it'll help you!
ℓu¢αzz ッ
helppppppppppppppppppppppppppppppppppppppppppp sorry for that
Answer:
a)2 * 2 = 4
b)2 * 3/2 = 3
c) 20 * 3/2 = 30
d) 100 * 8/5 = 160
e)473*1/100=4.73
f)111*1/100=1.11
Answer:
answers are written
Step-by-step explanation:
2xx671.01 4/5 x 7 1/5 help mee
Answer: 355/70? correct me if im wrong :-)
Step-by-step explanation:
the length and breadth of a piece of land are 20meters and 15 meters respectively. What is the perimeter of this land?
Answer:
20x15=300
When you need to calculate the Length and Width of a piece of land or anything else, all you need to do is multiply the two numbers.
Step-by-step explanation:
When you have 20 units of land in as the length and 15 units of land as width, then you should multiply.
2x4=?
When you do 2x4, you have to do 2+2+2+2=
but, here, you have a piece of land to calculate, so basically, you have to multiply still. In that way, you will be able to get what 20 and 15's product is.
I'm sorry, sometimes I just can't explain that well, but just remember, in these types of problems, just multiply, that is your answer.
Thank You! I hope I made your day just a little better!
Have a great time studying!
Is the following equation true sometimes, always, or never?
(x-y)^2-2xy+y^2
Answer:
True
Step-by-step explanation:
The ratio of students who wear glasses to the total class is 2:5
a. What is the ratio of student who wear glasses to those who don't in simplest form?
b. If there are 15 students who don't wear glasses, how many students are in the class?
students
c. If 5 of the students who didn't wear glasses now do, what is the ratio of students who wear glasses
to those who don't in simplest form?
Answer:
a. 2:3, b. 25 students, c. 3:2
Step-by-step explanation:
a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.
b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.
c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.
please if you can i urgently need help thank you very much
Answer:
1/4
Step-by-step explanation:
2^7/2^9 = 1/2^2
HELP ME ASAP!!!!!!!!!!!!!!!!!
Answer:
good luck i need to conquer europe
What's the answer guys?
Answer: 14.4p - 2.2q + 4.3r
Step-by-step explanation:
(8.8p + 5.6p) + (6.2q - 8.4q) + (-1.8r + 6.1r)
= 14.4p - 2.2q + 4.3r
please give me a brainliest answer
h(x)=3x+3 g(x)=-4x+1 find (h+g)(10)
Answer:
-6
Step-by-step explanation:
h(x)=3x+3
g(x)=-4x+1
(h+g)(x) = 3x+3 -4x+1 = -x+4
(h+g)(10) = -(10)+4 =-6
given that m 2 = 56 in the diagram what is m 8
A 134
B 66
C 124
D 56