I THINK YOU FORGOT TO POST THE COMPLETE Q.
There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?
Answer:
27
Step-by-step explanation:
Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:
x - 4 + 3x - 4 + 4 = 32
4x - 4 = 32
4x = 36
x = 9
Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.
Answer:
27
Step-by-step explanation:
Solve the equation. 1.25 =0.75+r
Answer:
0.50
Step-by-step explanation:
Do the opposite of addition
So 1.25 - 0.75
The solution to the equation 1.25 = 0.75 + r for r is r = 0.5
How to determine the solution to the equation for rFrom the question, we have the following parameters that can be used in our computation:
1.25 = 0.75 + r
Add -0.75 to both sides of the equation
so, we have the following representation
-0.75 + 1.25 = 0.75 + r + -0.75
Evaluate the like terms on the right hand side
This gives
-0.75 + 1.25 = r
Evaluate the like terms on the left hand side
This gives
0.5 = r
Rewrite as
r = 0.5
Hence. the solution is 0.5
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Identify the parent function of f(x)=(x+3)3
Answer:
g(x) = x^3
Step-by-step explanation:
f(x)=(x+3)^3
The parent function is
g(x) = x^3
The function was shifted to the left 3 units from the parent function
f(x) = ( x- -3) ^3
f(x) = ( x+3) ^3
PLEASE HELP ASAPPP!!! 15PT QUESTION!!! Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by the function s(t), where t is the time, in seconds, after the ball is released, and s(t) is measured in feet. For given function, find the ball’s average velocity from t1 to t2. s(t)=11t^2; t1=6, t2=6.5
Answer:
The average velocity of the ball is [tex]137.5 \:ft/sec[/tex]
Step-by-step explanation:
First find the velocities at given times and then form two points. Calculate the slope to find the average velocity. The two points are:
[tex]\left(6,\:396\right)\quad and \quad \:\left(6.5,\:464.75\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{464.75-396}{6.5-6}[/tex]
[tex]m=137.5[/tex]
Best Regards!
please answer need help
Answer:
Obviously, the negative numbers come first so the answer is -3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3.
Answer:
-3.7, -1.9, -1/2, 1 and 1/3, 1.6, 2 and 1/3.
These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!
Answer:
I would say AA
Step-by-step explanation:
try to separate the picture to see the bigger picture and you can do it.
I do not understand 2 column proof in Geometry. PLEASE HELP
Answer:
A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.
hope this helped :)
Two-column proof:
Two-segment geometric evidence comprises of a rundown of explanations, and the reasons that we realize those announcements are valid. The announcements are recorded in a segment on the left, and the purposes behind which the announcements can be made are recorded in the correct section. A scientific evidence might be composed utilizing a passage, two-sections, or utilizing a stream diagram. The two-section verification is the strategy we use to introduce a sensible contention utilizing a table with two segments. Significant data is generally given to help start a proof and is normally the beginning stage everything being equal.
please mark me as brainliest!
Help plz will give brainliest
Answer:
150Step-by-step explanation:
[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]
Answer: the answer is 150
Step-by-step explanation:
30% x 500
0.3 x 500
= 150
At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor
(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis
(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis
To find where it will touch the axis set the factor equal to zero and solve .
(x + 2) = 0
Subtract 2 from both sides
x=-2
whats the answer???
Answer:
wtz i think is the answer. they are supplementary
Step-by-step explanation:
Answer:
WTZ
Step-by-step explanation:
Supplementary angles add to 180 degrees or form a straight line
WTV and WTZ make a straight line so they are supplementary angles
3. What is the value of x + y?
Answer:
y = 50 x = 10.
Step-by-step explanation:
Let's solve for y first.
We know the line angle 80 and angle 2y-5 is on a 180 degree line.
Now we can do our work:
180 - 85 = 95
2y - 5 = 95
95 + 5 = 100
100 ÷ 2 = 50
2(50) - 5 = 95?
The equation is correct, therefore y = 50.
No we do the same thing for the other angles, 90 and 3x + 55.
Again, 180 line.
180 - 95 = 85
3x + 55 = 85
85 - 55 = 30
30 ÷ 3 = 10
3(10) + 55 = 85?
The equation is correct therefore x = 10.
Thus, y = 50 and x = 10.
Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =
Answer:
Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.
Step-by-step explanation:
In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x for the sale of x video games
As we know profit = sale price - cost price
Therefore P(x) = R(x) - C(x)
Or P(x) = (R-C)x = 60x - (12+7x)
P(x) = 60x -12 - 7x
P(x) = 53x -12
Now the profit on selling 20 video games will be
P(20) = 53×20 -12 = 1060 -12 = 1048.
Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]
Answer:
Step-by-step explanation:
Please complete the attachment attached below
Answer:
The mode is 7 , median is 7 and the range of data is 2.8
Step-by-step explanation:
Stem leaf diagram :
5 | 7 7 9
6 | 5 6 8 8 9
7 | 0 0 0 2 5 5 7 8
8 | 4 4 5
Key : 5|7 means 5.7 cm
So, Data : 5.7,5.7,5.9,6.5,6.6,6.8,6.8,6.9,7.0,7.0,7.0,7.2,7.5,7.5,7.7,7.8,8.4,8.4,8.5
a)Mode : The most occurring number in the data is the mode
So, 7 is the mode of the data
b)
No. of observations = n = 19
[tex]Median = \frac{n+1}{2}\text{th term}\\Median = \frac{19+1}{2} \text{th term}\\Median = 10 \text{th term}\\Median = 7.0[/tex]
C)Range = Maximum - Minimum= 8.5 - 5.7 =2.8
Hence The mode is 7 , median is 7 and the range of data is 2.8
Identify examples and non-examples of the standard form of a linear function.
5x - 3y = 9
y = 1/2x - 3
2x + 3y = 0
x + y = 1
x = 6y
y = x - 2
Which are examples and which are non- examples?
Answer:
5x - 3y = 9 (Example) y = 1/2x - 3 (Non-Example) 2x + 3y = 0 (Example) x + y = 1 (Example) x = 6y (Non-Example) y = x - 2 (Non-example)Step-by-step explanation:
Standard form of the equation is given by:
Ax + By = C
Where
x and y are variablesA, B and C are constants which must be Integers. A should always be positive.Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.
5x - 3y = 9In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
y = 1/2x - 3Not in the form of Ax + By =CNON-EXAMPLE
2x + 3y = 0In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
x + y = 1In a form of Ax + By = CA,B and C are constantsA=5 is positiveIt is an EXAMPLE of standard form of linear function
x = 6yNot in the form of Ax + By =CNON-EXAMPLE
y = x - 2Not in the form of Ax + By =CNON-EXAMPLE
Answer:
answer in the picture
Step-by-step explanation:
use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16
Answer:
44
Step-by-step explanation:
Greatest common factor is 4
36 = 4*9
8 = 4*2
36+8 = 4*9 + 4*2
= 4(9+2)
= 4(11)
= 44
Hope it helps ...
The sum of seven times a number—
PLEASE HELP!
Answer:
x = 6
y = 4
Step-by-step explanation:
Let the two numbers be x and y
Condition 1:
7x+3y = 54 -----------(1)
Condition 2:
x = 2+y -----------------(2)
Putting (2) in (1)
=> 7(y+2)+3y = 54
=> 7y+14+3y = 54
=> 10y = 54-14
=> 10y = 40
Dividing both sides by 10
=> y = 4
Now putting y = 4 in eq(2)
=> x = 2+4
=> x = 6
Answer:
[tex]4\\6[/tex]
Step-by-step explanation:
[tex]7x+3y=54\\x=y+2[/tex]
[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]
[tex]x=y+2\\x=4+2\\x=6[/tex]
Josephine bought a sweater for $9.99 and a skirt for $21.50. She gave the clerk $50. How much change did she receive
Answer: $18.51
Step-by-step explanation:
She paid $50
Her total purchases
$9.99 + $21.50 = 31.49
Change = (50 - 31.49) = 18.51
The Japanese Yen corresponds to the American Dollar. If the exchange rate is 150 Yen for 1 Dollar, then a Japanese car sold in America for $10,000 will bring in 1,500,000 Yen. If the exchange rate changes to 120 Yen for each Dollar, then what price in Dollars would the car have to be sold in America to bring the Japanese 1,500,000 Yen?
Answer:
125,000
Step-by-step explanation:
Take the Japanese yen and divide by 12
1,500,000 divided by 12 = 125,000
If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).
A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2
Answer:
a is answer correct i think
Step-by-step explanation:
Alyssa walked 1/2 miles in 8 1/2 minutes. What is the unit rate in miles per minute?
Answer:
1/17 miles per minute
Step-by-step explanation:
Divide the miles by the minutes
.5 miles
---------------
8.5 minutes
5/85 miles per minute
1/17 miles per minute
Answer:
1/17
Step-by-step explanation:
You would divide the minutes and the miles.
8 1/2 divided by 1/2 which gives you1/17.
I hope this helped. I'm sorry if you get this wrong.
HELP PLEAASEEE QUICK
Choose the correct graph of the following condition.
{(x, y) : x≥2}∩{(x, y) : y≥2}
Answer:
see below
Step-by-step explanation:
{(x, y) : x≥2}∩{(x, y) : y≥2}
First {(x, y) : x≥2}
A solid line at x =2 and shaded to the right
(x, y) : y≥2
A solid line at y =2 and shaded above
∩ means intersection or where they overlap
The green area is where they over lap
These are the equations
Here clearly the lines lie in Q1 and 2 units away from both the axis
B is most suitable because it's intersection means their common or overlapping area. When f(x)=6x + 4 and g(x) = -6x + 3, find (g ◦ f)(6).
Answer:
- 237
Step-by-step explanation:
To evaluate (g ￮ f)(6) , evaluate f(6) and use the value obtained to evaluate g(x), that is
f(6) = 6(6) + 4 = 36 + 4 = 40, then
g(40) = - 6(40) + 3 = - 240 + 3 = - 237
Answer:
First find g o f(x)
= -6(6x +4) + 3
= -36x -24 +3
= -36x -21
g o f(6) = -36(6) - 21
= -216-21
= -237
Hope this helps.
Louis was saving money to purchase a remote-controlled model airplane. The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week. If he saved all of his money, he would have 6+5x dollars after x weeks. How much money would Louis have after 8 weeks, and would it be enough?
Answer:
$ 46 and it's not enough
Step-by-step explanation:
6 + 5x
x = weeks
so after 8 weeks, his money should be
6 + 5(8) = 6 + 40 = $ 46
Not enough for buying RC model airplane
The money for Louis have after 8 week will be $46.
And, It is not enough.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The plane cost $48. His grandfather gave him $6 and his mother gave him an allowance of $5 per week.
And, He would have 6+5x dollars after x weeks.
Now,
The money after 8 week = 6 + 5 × 8
= 6 + 40
= $46
Thus, The money for Louis have after 8 week will be $46.
Since, The plane cost $48.
Hence, It is not enough.
Therefore, The money for Louis have after 8 week will be $46.
And, It is not enough.
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Assignment: The Discriminant
Part I: Practice Finding the Discriminant
Find the value of the discriminant for each quadratic equation below. Show all steps needed to
write the answer in simplest form, including substituting the values of a, b, and cin the
discriminant formula. Then use the value to determine how many real number solutions each
equation has.
1.
x + 6x-3.0
2. 3x + 2x+1=0
3. x + 4x + 4 = 0
4. 5x + x = 4
5. 2x -3x = -5
6.
X-X=12
Answer:
1. D = 48, two; 2. D = -8, none; 3. D = 0, one
4.D = 81, two; 5. D = -91, none; 6. D = 49, two
Step-by-step explanation:
The formula for a quadratic equation is
ax² + bx + c = 0
The quadratic formula gives the roots:
[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]
D is the discriminant.
It tells us the number of roots to the equation — the number of times the graph crosses the x-axis.
[tex]D = \begin{cases}\text{positive} & \quad \text{2 real solutions}\\\text{zero} & \quad \text{1 real solution}\\\text{negative} & \quad \text{0 real solutions}\\\end{cases}[/tex]
It doesn't matter if the graph opens upwards or downwards.
If D > 0, the graph crosses the x-axis at two points.
If D = 0, the graph touches the x-axis at one point.
If D < 0, the graph never reaches the x-axis.
1. x² + 6x - 3 =0
a= 1; b = 6; c= -3
D = b² - 4ac = 6² - 4×1×(-3) = 36 - 4(-3) = 36 + 12 = 48
D > 0: two real solutions
2. 3x² + 2x + 1 = 0
a = 3; b = 2; c =1
D = b² - 4ac = 2² - 4×3×1 = 4 - 12 = -8
D < 0: no real solutions
3. x² + 4x + 4 = 0
a = 1; b = 4; c =1
D = 4² - 4×1×4 = 16 - 16 = 0
D = 0: one real solution
4. 5x² + x = 4
5x² + x - 4 = 0
a = 5; b = 4; c = -4
D = 1² - 4×5×(-4) = 1 - 20(-4) = 1 - (-80) = 1 + 80 = 81
D > 0: two real solutions
5. 5x² - 3x = -5
5x² - 3x + 5= 0
a = 5; b = -3; c = 5
D = (-3)² - 4×5×5 = 9 - 100 = -91
D < 0: no real solutions
6. x² - x = 12
x² - x - 12= 0
a = 1; b = 1; c = -12
D = 1² - 4×1×(-12) = 1 - 4(-12) = 1 + 48 = 49
D > 0: two real solutions
A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Find the number of tourists if there are more than 25 and fewer than 45.
Answer: there are 36 tourists.
Step-by-step explanation:
Ok, we have two integer numbers:
T, the number of tourists and S, the number of seats.
Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.
Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.
This means that T is a common multiple of 4 and 6
Now, we also know that 25 < T < 45.
Then let's see which ones are the multiples of 4 between 25 and 45.
4*7 = 28
4*8 = 32
4*9 = 36
4*10 = 40
4*11 = 44.
Now, the multiples of 6 in that range are:
6*5 = 30
6*6 = 36
6*7 = 42.
You can see that 36 is a common multiple, other way to see it is:
4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6
So the numer of tourist must be 36.
Find the value of the expression 8x↑3 if: x=3
Answer:
216
Step-by-step explanation:
8x³
Put x as 3 in the expression.
8(3)³
Solve the power.
8(27)
Multiply.
= 216
Use the diagram to find the angle measures.
Find m∠1, m∠3, and m∠4 if m∠2=117°.
Find the measures of all four angles if m∠2+m∠4=220°.
Answer:
1.) m∠1 = 63 degree
m∠3 = 63 degree
m∠4 = 117 degree
m∠2 = 117 degree
2.) m∠1 = 70 degree
m∠3 = 70 degree
m∠4 = 110 degree
m∠2 = 110 degree
Step-by-step explanation:
Given that
1.) m∠2 = 117°.
In the figure, m∠1 is vertically opposite to m∠3, and m∠4 is vertically opposite to m∠2
Therefore, m∠2 = m∠4 = 117° ( because vertically opposite angle are equal)
Also, the sum of angles at a point is equal to 360 degrees
m∠2 + m∠4 = 234°
Take 234 away from 360. That is,
360 - 234 = 126
126/2 = 63 degrees.
Therefore, m∠1 = m∠3 = 63°
2.) If m∠2 + m∠4 = 220°
Subtract 220 from 360 since the sum of angles at a point is equal to 360 degrees
360 - 220 = 140
Divide 140 by 2 and also 220 by 2 to get
140/2 = 70 and 220/2 = 110
Therefore,
m∠1 = 70 degree
m∠3 = 70 degree
m∠4 = 110 degree
m∠2 = 110 degree
What is one difference in midsegments for triangles versus midsegments for trapezoids?
Answer:
Step-by-step explanation:
Midsegments of a triangle and a trapezoid are alike, because their endpoints, are the midpoints of the sides they touch. ... whereas, the length of a midsegment of a triangle is base/2.
The one difference in midsegments for triangles versus midsegments for trapezoids Midsegments of triangles and trapezoids are different because we can draw 3 of them in triangles, but only one in trapezoids.
What are triangles and trapezoids?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.
If a line through the midpoint of a leg of a trapezoid is parallel to its bases, then the line passes through the midpoint of the other leg.
The midsegment of a trapezoid is half the length of the two parallel sides.
The midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.
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Natalia wants to attend Louisiana State University. One year at Louisiana State University costs approximately $24,000. She currently has $4,000 in savings. Natalia has received a one-time grant of $1,500 and an annual academic scholarship for $3,500. She plans to enroll in the work study program that will pay $12,000 annually for part-time work. How much will Natalia need to borrow in student loans in order to attend Louisiana State University for 4 years?
Answer:
He needs to borrow $28,500 to attend the University for 4 years.
Step-by-step explanation:
One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000
minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000
minus the $1,500 she received one time: $92,000 - $1,500 = $90,500
minus $3,500 per anual
4* $3,500 = $14,000
$90,500 - $14,000 = $76,500
minus $ 12,000 per anual
4 * $12,000 = $48,000
$76,500 - $48,00 = $28,500