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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4x + b = 2x + c, solve for x
Answer:
[tex]4x + b = 2x + c \\ 4x - 2x = c - b \\ 2x = c - b \\ \\ x = \frac{c - b}{2} \\ \\ x = \frac{c}{2} - \frac{b}{2} [/tex]
I hope I helped you^_^
What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1
Answer:
12 in
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side , then
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
If you receive $68 for mowing lawns for 8 hours. What would be the equation to find out how much money you would receive in an hour?
Answer:
$68÷8= x money per hour
Step-by-step explanation:
5x + y over A equals 2, solve for x
Answer:
2+y over 5
Step-by-step explanation:
5x + y =2
5x=2+y
x=2+y over t
What does this equal? Show your work pls
Answer:
can u show us the question
Step-by-step explanation:
a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate
Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 minutes. The other day, she ran another marathon and finished with a time of 406 minutes. What is the percent of increase in Jennifer's marathon time?
Answer:
16%
Step-by-step explanation:
406 / 350 = 1.16
406 is 116% of 350
so 350 + 16% is 406
because 350 * 0.16 = 56
56 is 16%
350 + 56 = 406
:)
Denzel identified (3,2) as a point on the line y-2 = 2/3 (x+ 3). What is the error Denzel made?
Hi there!
»»————- ★ ————-««
I believe your answer is:
He identified the incorrect x-value.
See explanation below.
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Here’s why:
⸻⸻⸻⸻
[tex]\text{General Point-Slope Form is:}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\(x_1,y_1) -\text{A point that is given.}\\\\m -\text{Slope}[/tex]
⸻⸻⸻⸻
Denzel incorrectly identified the x-value of the given point. The value '-3' is actually indicated in the equation. If you plug in '-3' into the equation, you would get '-(-3)', which simplifies to '+3'.⸻⸻⸻⸻
[tex]y-2 = \frac{2}{3} (x-x_1)\rightarrow y-2 = \frac{2}{3} (x-(-3))\rightarrow y-2=\frac{2}{3} (x+3)[/tex]
⸻⸻⸻⸻
The point in the equation should be: (-3, 2).
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The correct points of the line will be (-3,2).
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the point (3,2) is on the line y-2 = 2/3(x+ 3). Satisfy the equation with the given point and check.
y-2 = 2/3(x+ 3)
2-2 = (2/3)(3 + 3)
0 = 4
To make left hand side and right hand side equal the value of x coordinate should be -3.
y-2 = 2/3(x+ 3)
2-2 = (2/3)(3 + 3)
0 = 0
Therefore, the correct points of the line will be (-3,2).
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a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions
Answer:
140/350 = 14/35 = 2/5 = 40/100 = 40%
Step-by-step explanation:
I hope this helps
<3
please answer the question in the picture <3
Answer:
A. 40
Step-by-step explanation:
Write an equation in slope-intercept form for the line described. Write the slope and y-intercept as fractions, if necessary. passes through (6, 2), parallel to y = -}x+1
calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10
Answer:
it should be 13
Step-by-step explanation:
Answer:
The Range is 13
Step-by-step explanation:
Mean (Average): 13
Median: 12
Range:13
Largest: 21
Smallest: 8
Sum: 195
Count: 15
(Hope this helps can I pls have brainlist (crown)☺️
Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. She writes the following expression:5,000 (1 + 0.0375) superscript 24Which of the following statements about Porsha's expression is true?a.Porsha's expression is correct.b.Porsha's expression should have 1 + 0.009375 in the parentheses.c.Porsha's expression should have an exponent of 6, not 24.d.Porsha's expression should have both 1 + 0.009375 in the parentheses and an exponent of 6.
Using the compound interest formula, it is found that the correct option is:
b. Porsha's expression should have 1 + 0.009375 in the parentheses.
Compound interest:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
Investment of $5,000, thus [tex]P = 5000[/tex].Interest rate of 3.75%, thus [tex]r = 0.0375[/tex].6 years, thus [tex]t = 6[/tex]Compounded quarterly, thus [tex]n = 4[/tex].Then, the amount is:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 5000(1 + \frac{0.0375}{4})^{4(6)}[/tex]
[tex]A(t) = 5000(1 + 0.009375)^{24}[/tex]
Thus, her error is in the parentheses, and the correct option is:
b. Porsha's expression should have 1 + 0.009375 in the parentheses.
A similar problem is given at https://brainly.com/question/25195489
Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tree diagram illustrating that the probability of selecting 2 left handed students is 1/260. Calculate the probabilities labeled on the tree diagram
Answer:
a. 3/40
b. 37/40
c. 2/39
d. 37/39
e. 3/39
h. 36/39
k. 1/260
m. 37/520
n. 37/520
w. 111/130
Step-by-step explanation:
First person:
a. 3/40
b. 37/40
_____
Second person:
left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total
c. 2/39
d. 37/39
not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.
e. 3/39
h. 36/39
_____
for the final probabilities, just multiply along the tree branches:
k = a × c = 1/260
m = a × d = 37/520
n = b × e = 37/520
w = b × h = 111/130
State any two types of natural vegetation?
Answer:
forest, tundra, and grasslands
HELP HELP
Write the equation of the parabola in vertex form.
vertex (0,3), point (1, - 4)
f(x) =
(Simplify your answer.)
Answer:
Equation of the parabola: y = 3 - 7x^2
Step-by-step explanation:
The equation of the parabola with vertex (h,k) is y = a(x - h)^2 + k
Thus, the equation of this parabola is y = ax^2+3
To find a, use the fact that the parabola passes through the point (1,−4):
-4 = a(1)^2 +3
Solving this equation, we get that a = −7.
Thus, the equation of the parabola is y = 3 − 7x^2.
Help plsssssssssssssssssssssssssssssssssssssssssss
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I need help with this question. 20 points ton the person who can answer the question and make it make sense.
Why do we want the two measured angles to be equal. Why is this important?
Answer:
Because if they werent the messerue ments would be screwed and u would not be able to answer some questions
Step-by-step explanation:
also it makes a right triangle if equal
Tonya has 5/8 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?
Answer:
5/16
Step-by-step explanation:
you can't split 5 in half, so you need to multiply the fraction to make it so you can split it in half. Multiply the equation by 2
5/8 * 2=10/16
now you can divide it by two to get 5/16
Hope this helps!
in a toy store, the ratio of action figures to teddy bears 6 to 2. if the store has 320 total toys, how many teddy bears are there in the store?
What is the correct standard form for 500 + 6 + 0.09 + 0.003.
Answer:
Your answer is 506.093.
Step-by-step explanation:
Hope this helps!
Two friends, Bart and Claudia, purchased concessions at a basketball game.
Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?
Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.
Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.
Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.
Drinks cost $1.00 each, and candy bars cost $0.75 each.
The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
2x + 2y = 5Claudia total purchase
x + 4y = 4.75The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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I need help with constat rate of change please
1.
67°
mZ1
|
ㅛ
Find each angle measure
Answer:
acute angle
Step-by-step explanation:
Please help I will give Brainiest if correct!
What is the rate of change?
Answer: 2 is the correct answer I am 100% positive
Step-by-step explanation:
Answer: the rate of change is 2
Step-by-step explanation:
MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY
Answer: The slope is 1.5. The equation of the line is y=1.5x+3
Step-by-step explanation:
Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.
(7g - 6) - (-3n – 4) =
Answer:
7g + 3n - 2
Step-by-step explanation:
when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive
for example, using the above statement we can rewrite the problem as:
7g - 6 + 3n + 4
we can combine -6 and 4 to get -2
7g + 3n - 2 or 7g + 3n + (-2)
4 x 4 x 4 x 5 x 5
With index notation?
Answer:
4^3 x 5^2
Step-by-step explanation:
Index notation just makes the numbers being multiplied by themselves easier to read.
Answer:
4³×5²
Step-by-step explanation:
chill bro it's basic
ILL GIVE BRAINILEST TO WHEVER ANSWERS
can someone please help me with this
Answer:
∠ R = 58° , ∠ Q = 32°
Step-by-step explanation:
Complementary angles sum to 90°
∠ Q is 26° less than ∠ R , so ∠ Q = ∠ R - 26° , then
∠ Q + ∠ R = 90° , that is
∠ R - 26° + ∠ R = 90°
2 ∠ R - 26° = 90° ( add 26° to both sides )
2 ∠ R = 116° ( divide both sides by 2 )
∠ R = 58°
∠ Q = 58° - 26° = 32°