Answer:
45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)
19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)
Step-by-step explanation:
for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!
There were 29 students available for the woodwind section of the school orchestra. 11 students could play the flute, 15 could play the clarinet and 12 could play the saxophone. four could play the flute and the saxophone, four could play the flute and the clarinet, and 6 could play the clarinet and the saxophone. 3 students can play none of the three instruments. Find the number of students who could play: a. All the instruments b. Only the saxophone c. The saxophone and clarinet, but not the flute d. Only one of the clarinet, saxophone, or flute.
Answer:
a. The number of students who can play all three instruments = 2 students
b. The number of students who can play only the saxophone is 0
c. The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only one of the clarinet, saxophone, or flute = 4
Step-by-step explanation:
The total number of students available = 29
The number of students that can play flute = 11 students
The number of students that can play clarinet = 15 students
The number of students that can play saxophone = 12 students
The number of students that can play flute and saxophone = 4 students
The number of students that can play flute and clarinet = 4 students
The number of students that can play clarinet and saxophone = 6 students
Let the number of students who could play flute = n(F) = 11
The number of students who could play clarinet = n(C) = 15
The number of students who could play saxophone = n(S) = 12
We have;
a. Total = n(F) + n(C) + n(S) - n(F∩C) - n(F∩S) - n(C∩S) + n(F∩C∩S) + n(non)
Therefore, we have;
29 = 11 + 15 + 12 - 4 - 4 - 6 + n(F∩C∩S) + 3
29 = 24 + n(F∩C∩S) + 3
n(F∩C∩S) = 29 - (24 + 3) = 2
The number of students who can play all = 2
b. The number of students who can play only the saxophone = n(S) - n(F∩S) - n(C∩S) - n(F∩C∩S)
The number of students who can play only the saxophone = 12 - 4 - 6 - 2 = 0
The number of students who can play only the saxophone = 0
c. The number of students who can play the saxophone and the clarinet but not the flute = n(C∩S) - n(F∩C∩S) = 6 - 2 = 4
The number of students who can play the saxophone and the clarinet but not the flute = 4 students
d. The number of students who can play only the saxophone = 0
The number of students who can play only the clarinet = n(C) - n(F∩C) - n(C∩S) - n(F∩C∩S) = 15 - 4 - 6 - 2 = 3
The number of students who can play only the clarinet = 3
The number of students who can play only the flute = n(F) - n(F∩C) - n(F∩S) - n(F∩C∩S) = 11 - 4 - 4 - 2 = 1
The number of students who can play only the flute = 1
Therefore, the number of students who can play only one of the clarinet, saxophone, or flute = 1 + 3 + 0 = 4
The number of students who can play only one of the clarinet, saxophone, or flute = 4.
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. Original Segment EF is twice as long as segment AB. Segment CD is twice as long as segment FG The Measure fo Angle HEF is twice the measure of Angle DAB. The area of EFGH is twice the area of ABCD
The question is incomplete. Here is the complete question.
Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements.
A. Segment EF is twice as long as segment AB.
B. Segment CD is twice as long as segment FG
C. The measure of angle HEF is twice the measure of angle DAB
D. The length of segment EH is 16 units.
E. The area of EFGH is twice the area of ABCD.
Answer: A. Segment EF is twice as long as segment AB
D. The length of segment EH is 16 units
E. The area of EFGH is twice the area of ABCD
Step-by-step explanation: One quadrilateral which is scaled copy of another quadrilateral means both quadrilateral are similar, i.e., they have congruent angles (same angles) but different sides lengths.
Comparing side GH with side CD, you notice GH's length is twice the side CD. This relationship between each corresponding sides is called scale factor.
Analysing statements above:
A. This statement is correct because segments EF and AB are corresponding sides, so EF will be twice as much as AB;
B. This is incorrect because they are not corresponding sides, so they are not related;
C. Is incorrect because measure of angle in similar quadrilateral has the exact same angle;
D. Statement is correct because if segment AD is 8 units, the corresponding segment EH will be:
EH = 2 x 8 = 16 units
E. Tis statement is correct because area of quadrilateral ABCD is proportional to the area of quadrilateral EFGH by the scale factor, therefore, area of EFGH is twice the area of ABCD.
Monique made several batches of soup for a potluck supper each batch requires 3/4 of a pounds of potatoes and she used a total of six 1/2 pounds of potatoes how many batches of sifted Monique make which division and multiplication problems could represent this scenario check all that apply
Answer:
The answer is below
Step-by-step explanation:
Monique made several batches of soup for a potluck supper. Each batch required 3\4 of a pound of potatoes, and she used a total of 6 1/2 pounds of
potatoes. Solve the division problem.
What is 13/2 ÷ 3/4
Answer:
a) 3\4 of a pound of potatoes can make a batch of potluck supper. Monique used 6 1/2 pounds of potatoes in total. Let n represent the number of batches of soup that was made, hence:
[tex]n=\frac{total\ number\ of\ potatoes\ used}{6 1/2 pounds ofpotatoes\ to\ make\ a\ batch\ of\ soup} \\\\n=\frac{6\frac{1}{2} }{\frac{3}{4} } =\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =8.67[/tex]
Therefore Monique made about 8 batches of soup
b) [tex]\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =\frac{26}{3} =8.67[/tex]
Answer:
b and e are the best options and are true
a computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and additional 10 pesos per hour for each succeeding hour. find how much you would pay if you used one of their computers for 40 minutes. show solutions.
Answer:
The equation for the price, as a function of time in hours is:
P(x) = 20*x for 0 ≤ x ≤ 2
P(x) = 40 + 10*(x - 2) for 2 ≤ x
Now, we want to evaluate this function in 40 mins.
we know that 1 hour = 60mins.
Then 40 mins = (40/60) hours = 0.67 hours.
Then we input this in our function, and because this is smaller than 2, we use the first piece of our function:
P(0.67) = 20*0.67 = 13.4
So in 40 mins, the charge will be 13.4 pesos.
WILL MARK YOU BRAINLIEST!!!!!!
Answer:
y = 136
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle, thus
y = 82 + 54 = 136
Given A(2,14), B(2,3), C(4,2) and D(14,2) what about AB?
HELP!!!
For which one month. What is the rate of change in rainfall amounts in Springfield the greatest?
Name the constant of variation for the equation: y=-2/3x
The constant of variation is the slope, which is the number before the x variable.
The answer is -2/3
Calculate the distances from the origin to points A(11, –2, –6) and B(–3, 7, –5). Round to the nearest tenth. The distance from the origin to point A is units. The distance from the origin to point B is units. Now determine how much farther from the origin point A is than point B. Round to the nearest tenth. Point A is units farther from the origin than point B.
Answer:
Step-by-step explanation:
A(11, –2, –6) and B(–3, 7, –5) are located away from the origin (0,0,0), the points from the origin to this points is expressed as OB - OA where;
OB is the distance from the origin to the point B
OA is the distance from the origin to the point A
Using the formula for calculating distance between two points
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(-6-0)²+(-2-0)²+(11-0)²
OA = √(-6)²+(-2)²+(11)²
OA = √36+4+121
OA = √161
OA = 12.688
Similarly;
OB = √(-5-0)²+(7-0)²+(-3-0)²
OA = √(-5)²+(7)²+(-3)²
OA = √25+49+9
OA = √83
OA = 9.110
Distance from the origin to the points = 12.688 - 9.110 = 3.577
Distance from the origin to the points ≈ 3.6 (to the nearest tenth)
Answer:
The distance from the origin to point A is 12.7 units.
The distance from the origin to point B is 9.1 units.
Point A is 3.6 units farther from the origin than point B.
Albert's mom has 2,523 reward points from shopping at an online store. She uses the points to buy gift cards for free cups of coffee. Each gift card costs 75 points. What is the greatest number of gift cards Albert's mom can buy? How many reward points will she have left? Use the drop-down menus to choose the numbers that make the statement true.
Answer:
Maximum number of gift cards she can purchase = 33
Reward points left with her = 48
Step-by-step explanation:
Let Albert's mom buys the number of gift cards = x
Points for each gift card = 75
Total points consumed to buy x gift cards = 75x
If total points with Albert's mom = 2523
So the remaining points with her = (2523 - 75x)
Inequality representing the remaining points will be,
(2523 - 75x) ≥ 0
75x ≤ 2523
x ≤ [tex]\frac{2523}{75}[/tex]
x ≤ 33.64
Maximum number of cards she can buy = 33
Therefore, reward points with her = 2523 - (75 × 33)
= 2523 - 2475
= 48
Is 3.07 the same as 3.7 ?
Answer:
yes it is a 0 is not a value if its infront of an answer
Step-by-step explanation:
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54.
Answer:
y=3.54m
Step-by-step explanation:
it is pretty self explanatory
An algebraic expression for the statement could be as; y = 3.54m
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
Thus which can also be used to indicate the logical syntax's order of operations and other features.
We need to write an algebraic expression for the statement.
Given that The cost of m pounds of meat when the cost per pound is $3.54.
Therefore, the expression could be as;
y = 3.54m
hence, An algebraic expression for the statement could be as; y = 3.54m
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- 2/3 × 3/5 + 5/2 - 3/5 × 1/6
Answer:
2
Step-by-step explanation:
(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)
-2/3 x 3/5 = -6/15 = -2/5 (simplified)
3/5 x 1/6 = 3/30 = 1/10 (simplified)
Changed equation: -2/5 + 5/2 - 1/10
-2/5 x 2 = -4/10
5/2 x 5 = 25/10
Changed equation: -4/10 + 25/10 - 1/10
Answer: 20/10 = 2 (simplified answer)
Anthony received $150 for his birthday this year. This was $10 less than
half the amount he received last year. How much money did Anthony
receive for his birthday last year? write the equation and answer
Answer:
$140
Step-by-step explanation:
150-10=140
$140
HOPEFULLY IM RIGHT!!
Have A Nice Day!!!!
:)))
The function g(x) is a transformation of the cube root parent function,
f(3) = Vz. What function is g(x)?
g(x)
O A. g(x) = 1 + 2
O B. g(x) = x + 2
O c. g(x) = 273
OD. g(Q) = v
PREVIOUS
Answer:
C
Step-by-step explanation:
Apex
The value of function of g (x) is,
⇒ g (x) = 2∛z
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function g(x) is a transformation of the cube root parent function,
The function is,
⇒ f (x) = ∛z
Now, After translation we get;
The value of function of g (x) is,
⇒ g (x) = 2∛z
Thus, The value of function of g (x) is,
⇒ g (x) = 2∛z
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A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s
Answer: 7.07 m/s
Step-by-step explanation:
I took the quiz and that was the correct answer 5 is wrong
The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The present speed of the dog is 10 m/s.
Suppose the mass of the dog be m kg.
Since, the kinetic energy of an object is given as K = 1/2mv².
As per the question, the following expression can be written,
Initial energy, K₁ = 1/2m × 10²
= 50m
Final energy, K₂ = K₁/2
= 50m/2
= 25m
Using the expression for kinetic energy,
1/2mv² = 25m
=> v² = 50
=> v = √50
= 7.07
Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.
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help me yo!
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A) 2/5
B) 4/9
C) 1/2
D) 5/9
A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?
A.) 1/6
B.) 1/5
C.) 1/3
D.) 2/5
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A.) 4/9
B.) 1/5
C.) 1/2
D.) 5/9
My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?
A.) 3/10
B.) 1/3
C.) 2/5
D.) 4/9
Answer:
1 is B 2 is D
Step-by-step explanation:
5+3+2=10
but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it
so your chances of getting a pink one are 4/9
A= LWH for L
L=
What’s the answer
Answer:
A ÷ (WH)
Step-by-step explanation:
Ian purchased cans of soda for a party he was having. For every 12 cans of soda she payed $4.98. What is the cost per can of soda?
The cost of each can of soda is $
i need this quik and now
$.40
Step-by-step explanation:
if you want the full one it's .415
The tables given are for the linear functions f(x) and g(x). What is the input value for which f(x)=g(x) is true?
x=____
-1, it's fairly clear just from the table...
Answer:
-1
Step-by-step explanation:
*PLEASE HELP ANSWER*
* I WILL GIVE BRAINLIEST *
Answer:
Union
Step-by-step explanation:
None of the terms in each inequality intersect.
so its not intersection
Its two inequalities put together so its union
An equo equila Teral Traingle has
nearest mm workout The Lower
bound of its Perimeter mcm
sides of Lenght 6.2 cm correct to
Answer:
Step-by-step explanation:
Given parameters:
Dimensions of the equilateral triangle = 6.2cm
Unknown:
Perimeter = ?
Solution:
The perimeter of the triangle is the sum of all its sides;
Perimeter = 3(L) for an equilateral triangle;
Perimeter = 3(6.2) = 18.6cm
to the nearest mm = 19.0cm
Find the equation perpendicular to y =1/2x - 3 and goes through the point (6, -3).
Perpendicular equations have opposite reciprocal slopes, so any equation perpendicular to the equation y = 1/2 x - 2 would have the slope -2.
Now plug in the point (6, -3) into the equation y = -2x + b to find out what b is.
-3 = -2(6) + b
Multiply -2 by 6.
-3 = -12 + b
Add 12.
9 = b
So the equation is y = -2x + 9
Hope this helps
A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.
Answer:
2 1/2 ounces
Step-by-step explanation:
If each coin is 5/6 ounces and she picks up 3, we must multiply the two numbers
5/6 × 3
3 can also be written as 3/1
5/6 × 3/1
multiply the numerators and denominators separately
5 × 3/6 × 1
15/6
Both 15 and 6 have a common factor of 3 so divide both numbers by 3
15 ÷ 3/6 ÷ 3
5/2
This is simplest form in terms of improper fractions
If you want it as a whole number it would be:
2 1/2
This is because 2 goes into 5 twice evenly (whole number) with one remaining (numerator; denominator stays the same)
Hello
Answer:
2.5 ounce
Step-by-step explanation:
Weight of each coin=5/6 ounce
Weight of 3 such coins= 3*5/6
= 2.5 ounces
Hope its in the simplest form....
WILL MARK BRAINILIST!! Triangle PQR is transformed to triangle P'Q'R. Triangle PQR has vertices P (3, -6), Q (0, -9), and R (-3, 0). Triangle P'Q'R has vertices P'Q'R has vertices P' (1, -2), Q' (0, 3), and R' (-1, 0).
What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R? Explain your answer.
Answer:
The dilation is 3 times smaller of divided by 3.
Step-by-step explanation:
If you look at each beginning point all the numbers are divisible by 3 then when you look at the ending points they are the same as the beginning just 3 times smaller.
Answer:
The dilation is 3 times smaller of divided by 3.
Step-by-step explanation:
If you look at each beginning point all the numbers are divisible by 3 then when you look at the ending points they are the same as the beginning just 3 times smaller.
Step-by-step explanation:
How many miles could Katya go if she filled her 22-gallon tank? Show your math
work
Answer:
that all depends on the car mileage, say she gets 20 mpg itd be 20x22
What are the roots of the quadratic equation y= x^2 - 10 x + 125
Answer:the roots is 2 10 and 125
Step-by-step explanation:used a caculator
Answer:
for me the answer is a but the root is x=5+10i
Step-by-step explanation:
david and Jack share $120 in the ratio 3:5.how much did david get ?
Answer:
$45
Step-by-step explanation:
ratio is 3:5
David gets 3x, Jack gets 5x
So, 3x+5x=120
8x=120
x=15
David got 3x = 3*15 = $45
Answer:
45$
Step-by-step explanation:
120/8=15
15*3=45
because it is 3:5 ratio
find a round to the nearest tenth
Answer:
Side C= 22
Side B = 12
Side A= 22.16627
i do think it is 22.16627
Step-by-step explanation:
hope this helps
HELP ! -4.1 , - 3.5 , 5.3 , - 1.4 order from least to greatest !!!
Answer:
-4.1, -3.5, -1.4, 5.3
Step-by-step explanation:
hope this helps!