Answer:
a=20
Step-by-step explanation:
4a+8-2a-3=45
-8 on both sides
4a-2a-3=37
+3 on both sides
4a-2a=40
2a=40
a=20
Answer:
a = 20
Step-by-step explanation:
Let's understand it quickly,
4a + 8 - 2a - 3 = 45
Gather the like terms on RHS and LHS,
4a - 2a = = 45 - 5
2a = 40
a = 40/2
a = 20
Hope it helps!<3
A survey of 279 SPC students was taken at registration. Of those surveyed: 51 students had signed up for a Language Arts course 36 students had signed up for a Humanities course 18 students had signed up for both a Math and Language Arts course 8 students had signed up for both a Math and Humanities course 9 students had signed up for both a Language Arts and Humanities course 4 students had signed up for all three courses students did not sign up for any of these classes How many students signed up for only Math (of these three)?
Treating the amounts as Venn sets, we have that 161 students signed up for only Math, considering that 40 did not sign for any.
What are the Venn sets?For this problem, we consider the following sets:
Set A: Students that have signed up for Arts.Set B: Students that have signed up for Humanities.Set C: Students that have signed up for Math.4 students had signed up for all three courses students, hence:
(A ∩ B ∩ C) = 4.
8 students had signed up for both a Math and Humanities, hence:
(B ∩ C) + (A ∩ B ∩ C) = 8
(B ∩ C) = 8.
18 students had signed up for both a Math and Language Arts, hence:
(A ∩ C) + (A ∩ B ∩ C) = 18
(A ∩ C) = 14.
9 students had signed up for both a Language Arts and Humanities, hence:
(A ∩ B) + (A ∩ B ∩ C) = 9
(A ∩ B) = 5.
36 students had signed up for a Humanities course, hence:
B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 36
B + 5 + 8 + 4 = 36
B = 19.
51 students had signed up for a Language Arts course, hence:
A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 36
A + 5 + 14 + 4 = 51
A = 28.
Considering that there are 279 students, and supposing 40 did not sign for any course, we have that:
A + B + C + (A ∩ B) + (B ∩ C) + (A ∩ C) + (A ∩ B ∩ C) + 40 = 279.
28 + 19 + C + 5 + 8 + 14 + 4 + 40 = 279
118 + C = 279
C = 161
161 students signed up for only Math, considering that 40 did not sign for any.
More can be learned about Venn sets at https://brainly.com/question/24388608
#SPJ1
The first step in determining the solution to the system of equations, y=x²-4x-3 and y= 2x+5, algebraically is to
set the two equations equal
as-x²-4x-3=2x+5. What is the next step?
Set y = 0 in y=-x2²-4x-3.
O Factor each side of the equation.
Use substitution to create a one-variable equation.
O Combine like terms onto one side of the equation
Answer: The first step in determining the solution to the system of equations algebraically is [-4,-2].
Step-by-step explanation:
Determining the solution to the system of equations,
so, y=-x²-4x-3 and y= 2x+5, algebraically is to set the two equations are equal to:
-x²-4x-3 =2x+5
Then the solve in this equation
To put all terms into the lest side of the equation and group the terms:
solve it: -x²-4x-3-2x-5=0
-x²+(-4x-2x)+(-3-5)=0
-x²-6x-8=0
now you can multiply this equation by -1
x²+6x+8=0
and solve it using Quadratic equation
x(1,2)=[-b±√[tex]b^{2}[/tex]-4ac]/2a
replace with a=1,b=6,c=8 values
x(1,2)=[-6±√[tex]6^{2}[/tex]-4.8.1]/2.1
x(1,2) =[-6±√4]/2
x(1,2) =[-6±2]/2
x(1,2) =[-4,-2]
The first step in determining the solution to the system of equations algebraically is [-4,-2].
Learn about more information https://brainly.in/question/5597925
#SPJ9
745.5×101 i really need help
Answer: 75295.5
Step-by-step explanation:
Answer: 75255.1
Step-by-step explanation: 745.1×101
Multiply 745.1 and 101 to get 75255.1.
FACTOR
[tex]\frac{101.7541}{2.5}[/tex]=75255[tex]\frac{1}{10}[/tex]=75255.1
HELP
The coordinates of point T are (0,4). The midpoint of ST is (1,−3). Find the coordinates of point S.
The coordinates of S are (-1 , 11)
In the given statement is :
The coordinates of point T are (0,4). The midpoint of ST is (1,−3).
To find the coordinates of point S.
Now, According to the question:
Let the coordinate of point S are (x, y).
T (0, 4) is the mid point of ST
=> [tex]\frac{x+1}{2}=0 , \frac{y+(-3)}{2}=4[/tex]
=> x+1 =0 , y -3 = 8
=> x = -1 , y = 11
So, the coordinates of S are (-1 , 11)
Learn more about Coordinates and Mid- point at:
https://brainly.com/question/28279796
#SPJ1
(01.01 LC)
What is the simplified form of
a
b
C
d
45√x
√√4x
√√x.√√x-√√x-√√x?
Answer:
Step-by-step explanation:
Beth makes her own liquid cleaner. the recipe makes ⅔ gallons. Beth prefers to carry smaller bottles, so she puts cleaner in ⅛ gallon bottles. How man bottles can she fill from each batch?
A fraction is a way to describe a part of a whole. Beth will able to fill 5 complete bottles from a single batch of liquid cleaner.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that the recipe makes ⅔ gallons. Also, Beth puts cleaner in ⅛ gallon bottles. Therefore, we can write,
Total batch size = ⅔ gallons
Size of a bottle = ⅛ gallon
Now, the number of bottles that Beth will be able to feel from a single batch of liquid cleaner is,
Number of bottles = Total batch size / Size of a bottle
= ⅔ gallons / ⅛ gallon
= (2×8) / (3×1)
= 16 / 3
= 5.3333 ≈ 5
Therefore, Beth will able to fill 5 complete bottles from a single batch of liquid cleaner.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ1
Bre'Aujanaye operates a flower shop in Paris. All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and
special events. Why type of organization does Bre'Aujanaye have?
The type of market in which all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.
What is Oligopoly?An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.
Given situation:
All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.
As, we know that A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.
Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.
Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.
So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.
Hence, type of market is Oligopoly.
Learn more about Oligopoly here:
https://brainly.com/question/14093864
#SPJ1
np bisects MNQ, measurement MNQ, measurement MNP = (6X-12)° and measurement PNQ = (4x+8)°. find measurement MNQ
The Required answer is ∠MNQ is (10x - 4)°
Two unique points on a line define the boundaries of a line segment. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction.
Given NP bisects MNQ as shown in the given figure
A line segment that bisects two lines divides them into two equal parts.
Given ∠MNP =( 6x - 12)°
Given ∠PNQ = (4x + 8)°
We have to determine ∠MNQ as
∠MNQ = ∠MNP + ∠PNQ
= 6x - 12 + 4x + 8
= 10x - 4
Therefore, the answer for the given question is ∠MNQ is (10x - 4)°
Learn more about angles here:
https://brainly.com/question/28451077
#SPJ9
EASY-ISH How to put 5x-2y=-4 in slope intercept form???
Answer:
Step-by-step explanation:
5x-2y=-4
-2y=-5x-4
y=5/2x+2
Please help me please I’m being timed
Answer:
point symmetry if no symmetry isn't an option as it looks grayed out and not clickable
on Monday Carson earned one dollar. on Tuesday he earned two dollars. on Wednesday he earned three dollars. if this pattern continues on Thursday and Friday, how many dollars will he have earned total in all five days
Answer:
15 dollars
Step-by-step explanation:
Monday (1 dollar)
Tuesday (2 dollars)
Wednesday (3 dollars)
Everyday, Carson earn one dollar more.
So Thursday should be 3+1 (which is 4 dollars)
and Friday should be 4+1 (which is 5 dollars)
Total is 1+2+3+4+5 dollars = 15 dollars
Question
Translate to an equation and solve: Three-tenths of x is 15.
Greetings from Brasil...
know that three-tenths = 0.3
then
0.3X = 15
3X/10 = 15
X = 50The ratio of stars to circles is 3 to 2. If
there are 28 circles, then how many stars are there?
Answer:
42
Step-by-step explanation:
3 to 2 can be represented as 3/2. Remember the numerator represents stars while the denominator represents circles. Set up a proportion the criss multiply. This ratio would be 3/2 = x/28. First multiply 28 x 3 and set it equal to 2x. This gives you 84=2x. Divide 2 by each side and you will get 42 stars.
Taylor and Alex are looking for a daycare for their child. They want to make sure the daycare is midway between their jobs. Taylor works at the Rogers Middle School located at (4, -5), and Alex works at St. Philip's located at (2, 5). Where should the daycare be located?
The location of the coordinate of the daycare is (3, -1.5)
Midpoint of coordinatesThe formula for calculating the midpoint of coordinate is expressed as;
M(x, y) = {(x₁+x₂/2, y₁+y₂/2)}
Given the coordinate points (4, -5) and (2, 5), on substituting, we will have:
M(x, y) = {(4+2/2, -5+2/2)}
M(x, y) = (6/2, -3/2)
M(x, y) = (3, -1.5)
Hence the location of the coordinate of the daycare is (3, -1.5)
Learn more on midpoint of coordinate here: https://brainly.com/question/18315903
#SPJ1
The measure of one angle is four times the measure of its supplement. Find the measure of each angle.
The measure of the angle is 36° and its supplement is 144°.
The supplement of an angle is calculated by subtracting the value of the angle from 180°.
A linear pair of angles are supplement of one another.When two straight lines intersect at a point then any 2 adjacent angle of the four angles formed are supplementary angles. In a cyclic quadrilateral ( quadrilateral whose 4 sides touch the same circleat different points ) opposite angles are supplementary.Given that the supplement of the angle is 4 times the angle.
Let us consider the value of the angle be x°.
Therefore the value of the supplement is 4x°
Now the sum of the two supplementary angles is 180°.
∴x° + 4x° = 180°
or, 5x° = 180 °
or, x° = 36°
Therefore the larger angle = 4x° = 4 × 36° = 144° .
Hence the angles are 36° and 144° .
To learn more about angle and supplement visit:
https://brainly.com/question/15295416
#SPJ9
the total weight of henry peter and david is 123.peterr is 15 kg hevier than david. david is 3kg lighter than henry find henrys weight
The ages will be:
Henry's weight = 38kg
David =35kg
Peter = 50 kg
How to calculate the weight?Let Henry's weight be represented by x
David is 3kg lighter. This will be x-3.
Peter is 15kg heavier. This will be:
= x-3 + 15 = x +12
This will be:
x + x-3 + x + 12 = 123
3x + 9 = 123
3x = 123 - 9
3x =114
Divide
x = 114/3 = 38
Therefore, Henry's weight = 38kg
David =x - 3 = 38 - 3 = 35kg
Peter =35 + 15 50 kg
Learn more about weight on:
brainly.com/question/2337612
#SPJ1
The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event 8) is
0.40. The probability of Roger winning the tournament, given that Stephan wins, is O. The probability of Stephan winning the tournament.
given that Roger wins, is 0. Given this information, which statement is true?
O A
Events A and Bare not independent because P(AB) # PA)
The true statement is that C. Events A and B are not independent because P(A|B) ≠ P(A).
How to illustrate the information?The probability that Roger wins a tennis tournament (event A) is 0.45 i.e. P(A)=0.45
The probability that Stephan wins the tournament (event B) is 0.40 i.e. P(B)=0.40
It should be noted that if A and are independent events, then P(B|A) = P(B). This isn't possible in this situation.
Therefore, the true statement is that events A and B are not independent because P(A|B) ≠ P(A).
Learn more about probability on:
https://brainly.com/question/314763
#SPJ1
The probability that Roger wins a tennis tournament (event A) is 0.45, and the probability that Stephan wins the tournament (event B) is 0.40. The probability of Roger winning the tournament, given that Stephan wins, is 0. The probability of Stephan winning the tournament, given that Roger wins, is 0. Given this information, which statement is true?
1.Events A and B are independent because P(A|B) = P(A).
2.Events A and B are independent because P(A|B) ≠ P(A).
3. Events A and B are not independent because P(A|B) ≠ P(A).
4. Events A and B are not independent because P(A|B) = P(A).
EASY QUESTION 20 POINTS
Answer:
(c) (-30)⁴
Step-by-step explanation:
You want to simplify the product (-6)⁴×(5)⁴.
ExponentsAn exponent is an indicator of repeated multiplication:
(-6)⁴ = (-6)(-6)(-6)(-6) . . . . . . the factor -6 is repeated 4 times
(5)⁴ = (5)(5)(5)(5)
Then the product is ...
(-6)⁴ × (5)⁴ = (-6)(-6)(-6)(-6)(5)(5)(5)(5)
The commutative and associative properties of multiplication let you regroup this to ...
(-6)(5)×(-6)(5)×(-6)(5)×(-6)(5) = (-30)(-30)(-30)(-30)
Using the exponent to signify repeated multiplication, this can be written as the equivalent ...
(-30)⁴
__
Additional comment
This product has an even number of minus signs, so will be positive. It is fully equivalent to ...
30⁴.
For the holidays, Susie wants to bake cookies for her friends. She plans to split the cookies among party bags and distribute them to her friends, but she does not know yet if she will need 3, 5, or 6 bags. Susie wants to put the same number of cookies in each bag. Which amount of cookies below would allow Susie to split the cookies fairly among 3, 5, or 6 bags?
GIVING BRAINIEST IF CORRECT!!!!
Express in simplest radical form.
Your answer is in the screenshot!
PLEASE HELP ME I AM SO CONFUSED!
Answer: The student is wrong because you have to figure out the area of each of the rectangles to find the total area. Add each of the areas to get your answer.
Step-by-step explanation:
Answer:
the total area is 1400
Step-by-step explanation:
The student is wrong. The shape's area can be calculated.
If you divide the shape into 3 separate rectangles horizontally
1st: area = 35 x 10 = 350
2nd area = 10 x 60 = 600
3rd area = (60 - 15) x 10 = 450
the total area is 350 + 600 + 450 = 1400
Heyy, if you can, please help!
Answer:
1.75
Step-by-step explanation:
twicw the sum of a number and 7 is more than 6 or at most -3
Answer:
2(x+7) more than(>) 6
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Thank me later
suppose 3
(b/3a) - (a/3b)
-a²+3b²/3ab
Step-by-step explanation:
b/3a - a/3b
= -3a² + 3b²/3ab
=-a²+3b²/3ab
Which rational number is positive
James owns a 36 hectares of a piece of land. 1/3 was for maize 2/9 hectares wheat and 4 hectares beans if 5/8 of remainder is homestead and rest for grazing. calculate the size of grazing land
Answer:
4.5 hectares
Explanation:
Maize=1/3x36=12Ha
Wheat=2/9x36=8Ha
Beans=4 Ha
=36-(12+8+4)
=36-24
=12Ha
Total remaining land=8/8=12
5/8=homestead
8/8-5/8=3/8
3/8=grazing land
=3/8x12
=4.5ha for grazing land
Suppose the price of a sweater is $10. Jaylen's marginal benefit for purchasing each additional sweater is given in the table below. He
gets the most benefit from the first sweater and less benefit from each additional sweater. If Jaylen is behaving rationally, how many
sweaters will he purchase?
1st sweater
2nd sweater
3rd sweater
4th sweater
5th sweater
6th sweater
50
35
30
23
12
8
The number of sweaters that Jaylen will purchase, based on his marginal benefit, is 5 sweaters.
What is marginal utility?Marginal utility or benefit is the added satisfaction that a consumer derives from the consumption of an additional unit of a product or service.
Using the concept of marginal utility, we can determine the number of units consumers will be willing to purchase.
The law of marginal utility states that a consumer will continue to purchase more of an item until their marginal benefit or utility is fewer than the cost of the item.
For instance, Jaylen will buy sweaters until his marginal benefit is lower than the price of a sweater ($10).
Jaylen is likely to buy 5 sweaters since his marginal benefit, though progressively reducing, still exceeds the price of the sweaters.
Data:Price per sweater = $10
Marginal Benefits
1st sweater 50
2nd sweater 35
3rd sweater 30
4th sweater 23
5th sweater 12
6th sweater 8
Thus, based on marginal utility, Jaylen will purchase 5 sweaters.
Learn more about marginal utility at https://brainly.com/question/15050855
#SPJ1
Marvin has 4 books to read
for homework this week. If he
reads 2/3 of a book each
night, how many nights will it
take him to read all four
books? Please write an equation
Which statement correctly describes the graph of G(x) = -3f(x)?
A. The graph of g is the graph of f horizontally stretched by a scale factor of 3 and reflected over the x-axis
B. The graph of g is the graph of f horizontally stretched by a scale factor of 3 and replicated over the y-axis
C. The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the x-axis
D. The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the y-axis
Answer:
C is the correct choice.
Step-by-step explanation:
Here are the rules for vertical stretches and reflection
Given a function f(x), a new function [tex]g(x)= a \cdot f(x),[/tex] where a is a constant, is a vertical stretch or vertical compression of the function f(x).
Since the question use a multiplicative of -3, and -3 < 0 we get the correct choice as C: The graph of g is the graph of f vertically stretched by a scale factor of 3 and reflected over the x-axis
On an inch ruler AC is 3 1/2 AB is 1 7/8 then find BC
Answer: can you give me some more information??
Step-by-step explanation: