Result:
Yes, the fifth-grade team will need to ship the order of 325 shirts for Field Day. They will need to package them in 16 boxes to ship them.
How do we calculate the number of boxes needed for the shipment?To evaluate the number of boxes needed to ship the order, we need to divide the total number of shirts by the number of shirts that can fit in one box.
where:
Number of shirts per box = 21
Total number of shirts = 325
Number of boxes needed = Total number of shirts / Number of shirts per box
Number of boxes needed = 325 / 21
Number of boxes needed = 15.47619
Since we cannot have a fraction of a box, we would round up to the nearest whole number.
Therefore, the fifth-grade team will need to ship the order in 16 boxes.
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Can someone pls help me with this i only have a little bit of time left pls hurry
**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?
Help me out thanks !!!!!!!!!!
9514 1404 393
Answer:
(b) 93°
Step-by-step explanation:
Assuming the line containing YT is a diameter, the measure of angle UYT is ...
180° -87° = 93° = m∠UYT
Can you help me....................................
Answer:
A ITS A
because 9*9*9 and it divides by 2
Answer:
I think it's B.
Step-by-step explanation:
A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen.
One cubic meter volume of oxygen contains 1000L gas, and 22.4L of oxygen gas contains
6.02 x 1023 molecules (Avogadro's number).
A. 2.1976 x 100 molecules
B. 3.0051 x 1026 molecules
C. 4.0313 x 1027 molecules
D. 7.5014 x 1030 molecules
Answer:
Option C. 4.0313×10²⁷ molecules.
Step-by-step explanation:
We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.
Width (W) = 5 m
Length (L) = 10 m
Height (H) = 3 m
Volume (V) =?
V = L × W × H
V = 10 × 5 × 3
V = 150 m³
Thus, the volume of oxygen is 150 m³
Next, we shall convert 150 m³ to L. This can be obtained as follow:
1 m³ = 1000 L
Therefore,
150 m³ = 150 m³ × 1000 L / 1 m³
150 m³ = 150000 L
Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:
22.4 L = 6.02×10²³ molecules
Therefore,
150000 L = 150000 × 6.02×10²³ / 22.4
150000 L = 4.0313×10²⁷ molecules
Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules
Write the number 0.08 in scientific notation
The scientific notation of 0.08 is 8 x \(10^{(-2)\) where 10 raised to an exponent (-2).
In scientific notation, a number is expressed as the product of a coefficient and a power of 10.
To write the number 0.08 in scientific notation, it as a decimal number multiplied by a power of 10.
So, 0.08 can be written in scientific notation as 8 x \(10^{(-2)\).
In scientific notation, the number is written as the product of a coefficient (8) and a power of 10 raised to an exponent (-2), indicating the decimal's position relative to the coefficient.
Therefore, the scientific notation of 0.08 is 8 x \(10^{(-2)\).
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Given the lease terms below from a local car dealership, what is the total cash due at
signing if the dealership requires down payment, security deposit, first month's
payment and the acquisition fee at signing?
Length of lease = 24 months
MSRP of the car = $22, 750
Purchase value of the car after lease = $16, 900
Down payment = $1,800
Monthly payment = $425
Security deposit = $375
Acquisition fee = $300
The total cash due at signing if the dealership requires down payment, security deposit, first month's payment and the acquisition fee at signing is 2400 + 375 + 500 = 3275
When you buy a car, you don't make monthly payments at the beginning. Plus, you don't care how much the buyout costs when you close the lease, that's after you've had it for two years.
You must take care of the deposit, this is your good faith commitment to the rental car. In addition, you may have to pay a deposit based on your credit, and the acquisition fee is what you would pay a broker or dealer to get the car to you if you wanted it from somewhere else.
Therefore,
2400 + 375 + 500 = 3275
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Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek
Answer:
3-7×14 12946.-40
Step-by-step explanation:
mark me as brainliest
Help ASAP please giving brainliest!!
Answer:
2 hours
Step-by-step explanation:
f (x) = sqrt(x)+ 2, g(x)=x^2+ 1
find f(g(x))
and g(f(x))
Answer:
\(f(x) = \sqrt{x} + 2 \\ \\ g(x) = {x}^{2} + 1 \\ \\ f{g(x)} = \sqrt{ {x}^{2} + 1 } + 2 \\ \\ g{f(x)} = {( \sqrt{x} + 2 )}^{2} + 1\)
A survey of 125 freshmen business students at a local university produced the results listed below. How many students took English and science, but not religion?25 took English;27 took science;22 took religion;15 took English but not science;9 took science and religion;11 took English and religion;2 took all three
Using this information we can create the following diagram
How many students took English and science, but not religion?
Then, we need to find the yellow region
Since there are 125 students in total, we need to add up how many students are in the other regions -> 25+27+22+15+9+11+2=111
125 - 111 = 14
help me please zearn
9 + 10 = 21
69 + 420 = 69420
Answer:
9 + 10 = 21
69 + 420 = 69420
Step-by-step explanation:
Answer:
69 x 2 = a sum of 4
Step-by-step explanation:
A writer was paid $9,000 for a 3,000-word article. How much is that per word? A $0.33 B $27,000 ) $3 D) $30
Answer:
A. $0.33
Step-by-step explanation:
Because you divide 3000/9000
to get 0.33
Answer: three (c)
Step-by-step explanation:
3*3000=9000
or
9000/3= 3000
Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
The table gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc. What is the expected value of the rate of return?
The expected value of the rate of return is 23.5%
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given is a table which gives the probability distribution of the annual rate of return on the stock of MNP Company, Inc. We have to find out the expected value of the rate of return
Let X be the return and p probability
Then
X 15% 20% 30% 35% Total
p 0.2 0.4 0.3 0.1 1
x(p) 3 8 9 3.5 23.5
Hence Expected rate of return
E(x)= 23.5%
Hence, the expected value of the rate of return is 23.5%
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The relationship between PLS ANSWER ASAP MARKING BRAINSLEST
Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.
Linear pair:
A linear pair is the sum of two angles that forms a straight line (180°).
⇒ ∠A + ∠B = 180°
Measure of ∠A:
Subtract the measure of ∠B from 180 to determine the measure of ∠A.
⇒ ∠A = 180 - ∠B
Measure of ∠B:
Subtract the measure of ∠A from 180 to determine the measure of ∠B.
⇒ ∠B = 180 - ∠A
*Let us take a few examples to understand the concept better.
Example (Given measure of ∠B):Let the measure of ∠B (In the triangle shown) be 105°.
What is the measure of ∠A?
Solution:
Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:
⇒ ∠A = 180 - ∠B⇒ ∠A = 180 - 105Simplify the equation:
⇒ ∠A = 180 - 105⇒ ∠A = 75°Therefore, the measure of ∠A is 75°.
Example (Given measure of ∠A):Let the measure of ∠A (In the triangle shown) be 60°.
What is the measure of ∠B?
Solution:
Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:
⇒ ∠B = 180 - ∠A⇒ ∠B = 180 - 60Simplify the equation:
⇒ ∠B = 180 - 60⇒ ∠B = 120°Therefore, the measure of ∠B is 120°.
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A circular railroad sign has a diameter of 20 inches. what is the area of the sign in square inches
Answer:
100\(\pi\) (or about 314)
Step-by-step explanation:
So it's a circle, meaning that the formula for area is \(\pi r^{2}\). r= diameter divided by 2, so r=10. plug into equation and you get 100\(\pi\).
314 is when you round pi to 3.14 and multiply by 100.
Please Help if You Want PRE ALGEBRA
Two lines, M and N, are represented by the following equations:
Line M: y = x + 3
Line N: y = −2x + 6
Which of the following options shows the solution to the system of equations and explains why?
(1, 4), because the point does not lie on any axis
(1, 4), because one of the lines passes through this point
(1, 4), because both lines pass through this point
(1, 4), because the point lies between the two axes
Answer:
Third answer shown
Step-by-step explanation:
Since each equation has a right side equal to the same thing, y, those right sides must be equal to each other.
x + 3 = -2x + 6
Add 2x to both sides. 2x 2x
3x + 3 = 0 + 6
3x + 3 = 6
Subtract 3 on both sides. -3 -3
3x = 3
Divide both sides by 3. x = 1
Now, let's see what y must be if x equals 1.
Line M: y = x + 3 --> y = 1 + 3 --> y = 4
Line N: y = -2x +6 --> y = -2(1) +6 --> y = -2 + 6 --> y = 4, confirmed
So the ordered pair (x, y) that satisfies both equations is (1, 4)
*** This means that if you graphed both lines on an xy-coordinate plane, the point (1,4) would be the point where the two lines intersect.
That is the third answer shown.
Answer:
i think it is the first one..........
How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
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What would be the simplified expression AFTER the first step in this expression: 10–5+3×9÷3
Answer:
10-5+3×3
Step-by-step explanation:
that what you get when you first work out the division sign
Given the figure below, find the values of x and z.
108
(12x+24)
We know that two vertical angles are equal.
\(108° \: = \: (12x \: + \: 24)°\)
\( - 12x \: = \: 24 \: - \: 108\)
\( - 12x \: = \: -84\)
\( \boxed{ \bold{x \: = \: 7°}}\)
We calculate "x":We know that a complete angle measures 360°.
\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)
\(216 \: + \: 2z \: = \: 360\)
\(2z \: = \: 360 \: - \: 216\)
\(2z \: = \: 144\)
\( \boxed{ \bold{z \: = \: 72°}}\)
Answer: x = 7 z = 72 °DJ Bronson is making a playlist for a demo CD; he is trying to decide what 10 songs to play and in what order they should be played. Step 2 of 2 : If he has his choices narrowed down to 7 blues, 6 rock, 4 country, and 6 jazz songs, and he wants to play all 7 blues songs, how many different playlists are possible? Express your answer in scientific notation rounding to the hundredths place.
There are 7.26 × 10⁵ different playlists
Since DJ Bronson wants to make a playlist of 10 songs and has his choices narrowed down to 7 blues, 6 rock, 4 country, and 6 jazz songs, and he wants to play all 7 blues songs.
Since the order matters in the arrangement of the songs and 7 blues songs are playing, we use permutation, So, we have 7! ways of arranging the 7 blues songs.
We are left with space for three other songs.
Since we have 6 rock, 4 country, and 6 jazz songs, the number of ways of arranging 6 rock songs is ⁶P₁ = 6. The number of ways of arranging 4 country songs is ⁴P₁ = 4, and the number of ways of arranging 6 jazz songs is ⁶P₁ = 6.
So, the total number of ways of arranging all 10 songs is 7! × 6 × 4 × 6 = 725760 ways
= 7.25760 × 10⁵
= 7.26 × 10⁵ different playlists
So, there are 7.26 × 10⁵ different playlists
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The figure below is a scale drawing of an office courtyard using the scale 1 centimeter = 4 feet.
Which figure is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet?
Using proportions, it is found that option A gives a figure that is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, the figure with a scale of 1 cm = 4 feet has the dimensions of:
51 cm, 75 cm, 30 cm and 72cm.
For a scale of 1 centimeter = 3 feet, these measures will be multiplied by 4/3, hence the figure is given in option A, as:
51 x 4/3 = 68 cm.75 x 4/3 = 100 cm.30 x 4/3 = 40 cm.72 x 4/3 = 96 cm.More can be learned about proportions at https://brainly.com/question/24372153
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In a class of 29 students, 10 are female and 20 have an A in the class. There are 2 students who are male and do not have an A in the class. What is the probability that a female student does not have an A?Answer this
Answer:
The probability would be 3 out of the 10 girls
Step-by-step explanation:
The probability that a female student does not have an A on the test is 7/29.
What is the probability that a female student does not have an A?
Probability is mathematical operation that is used to determine how likely a stated event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a female student does not have an A = number of females that do not have an A / total number of females
(29 - 20 - 2 )/ 29 = 7/29
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Solve -2y>10
A - y<-5
B - y>-5
C - y<5
D - y>5
Answer:
y < -5
Step-by-step explanation:
The catch for this problem is remembering that when you divide by a negative number, your > or < will switch, so in this case, our > sign will become a < sign, otherwise its not too complicated!
-2y > 10
y < -5
Suppose you have 6 pairs of socks in your sock drawer. It is still dark out in the morning when you get dressed, so you just pull socks out of the drawer at random, one at a time, until you have removed two matching socks. What is the probability that you pull out exactly 5 socks from your sock drawer in the morning?
Answer:
8/33 = 0.242
Step-by-step explanation:
There are 12 socks to begin with and one is taken;
The second is picked from the remaining 11 and will either match the first or not;
The probability of matching is 1/11 and 10/11 for not matching;
If the sock matches, no further sock is taken;
If the socks don't match, a 3rd sock is taken;
The 3rd sock is taken from the remaining 10, 1 of which will match with the first sock and another which will match the second;
Therefore, the probability of taking a matching sock on the third pick will by 2/10 or 1/5 and the probability it will not match either of the first two is 8/10 or 4/5;
Once again, if the sock matches either of those previously taken, no further sock is taken;
If the socks don't match, a 4th sock is taken;
Now, there are 9 socks remaining in the drawer;
Picking is repeated;
The process is logical;
The attached picture shows a tree diagram representing this information in an easily digestible way and makes it easy to work out the desired probability;
With tree, diagrams, you just multiply across until you get to your desired outcome;
In this case, we are finding the probability of picking 5 socks exactly;
Each process splitting represents the picking of a sock;
The probability will be:
10/11 × 8/10 × 6/9 × 4/8 = 8/33 = 0.242...
step 1: find the factors of ac that add up to b. ac=6(−10)=−60 b=−11 the factors of −60 that add up to −11 are and . step 2: rewrite the trinomial with the x-term expanded, using the two factors from step 1. 6x2−11x−10 (6x2− )+( −10) step 3: group the first two and second two terms together, find the gcf and factor again. (2x−5)+ (2x−5
Answer:
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−10=−60 and whose sum is b=−11
.
6x2+4x−15x−10
Factor out the greatest common factor from each group.
2x(3x+2)−5(3x+2)
Factor the polynomial by factoring out the greatest common factor, 3x+2
.
(3x+2)(2x−5)
Mark what answer it is
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Answer:
part A maybe
Step-by-step explanation:
3/4+1/8 =7/8
part B
5/8 cups