Answer:
1) 1320 2)278256 3)330 4) 455 5)56 6)336 7) 990 8) 2730
Step-by-step explanation:
Solution:
1) Democrats = 15, Republicans = 11, Independents= 8
Total = 15+ 11+ 8 =34
Number of 3 persons committee = 15nCr 1 * 11nCr1 * 8nCr1
nCr =combination
Number of 3 persons committee that can be made by choosing any republican or democrat or independent = 15 * 11* 8 =1320
2)Total number of possible 5 person subcommittes from any 34 people = 34nCr5 = 34!/(29! * 5!)
=278256
3) Number of ways republicans choose subcomittee of 4 members = 11nCr4
= 11!/(7! * 4!)=330 ways
4) Number of ways democrats choose subcomittee of 3 members = 15nCr3
= 15!/ (12! *3!)=455 ways
5) Number of waysindependents choose subcomittee of 3 members = 8nCr3
= 8!/(5! * 3!)= 56 ways
6) Number of ways independents choose chairperson, vice chairperson and secretary:
As one picks each post the number of person decreases
= (Chairperson)* (vice chairperson) * (secretary) = 8nCr1 * 7nCr1 * 6nCr1
=336 ways
7) Number of ways republicans can choose chairperson, vice chairperson and secretary
As one picks each post the number of person decreases
= (Chairperson)* (vice chairperson) * (secretary) = 11nCr1 * 10nCr1 * 9nCr1
= 990ways
8) Number of ways Democrats can choose chairperson, vice chairperson and secretary
As one picks each post the number of person decreases
= (Chairperson)* (vice chairperson) * (secretary) = 15nCr1 * 14nCr1 * 13nCr1
= 2730 ways
HELP ASAP!!!!!!!!! I KEEP GETTING F’s AND I NEED ALL THE HELP I CAN GET
Answer:
Step-by-step explanation:
I'll MARK AS BRAINLIEST!! PLZ HELP!! I GIVE 25 POINTS!!
graph: y= -1/4x+6
Answer:
Straight line joining (0,6) and (24,0)
Step-by-step explanation:
y = (-1/4)x + 6
Make a straight line passing through:
y = 0 + 6 = 6
(0,6)
And
0 = (-1/4)X + 6
-6 = -x/4
x = 24
(24,0)
sorry honey but i dot have a graph to you how but
all you do is start at 6 positive and then mark a point one down and 4 to left and mark other point and then draw a line through it
What is the combined weight of all the kittens? Weight of kittens: 1/4 pound: 2 kittens. 3/8 pound: 3 kittens. 1/2 pound: 3 kittens. 5/8 pound: 3 kittens
the average of wieght od the kittens in the slether?
DIRECTIONS: Use this information to answer Parts A and B. Scientists measure temperature in degrees Celcius and in kelvin. A temperature in kelvin is 237.15 greater than the temperature in degrees Celcius. Question 1 Part A What is an equation that relates the temperature K, in kelvin, to the temperature C, in degrees Celsius?
The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.
K as the temperature in Kelvin,
C as the temperature in Celsius.
We're given that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. So, we can express this relationship as an equation:
[tex]\[ K = C + 237.15 \][/tex]
This equation shows that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature. Similarly, to convert from Kelvin to Celsius, you subtract 237.15.
Here's the equation:
[tex]\[ K = C + 237.15 \][/tex]
1. **Definition of Kelvin and Celsius Scales**:
- Kelvin (K): Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature where particles cease to move. One Kelvin is equal in magnitude to one degree Celsius.
- Celsius (C): Celsius is a temperature scale based on the freezing and boiling points of water, where 0 degrees Celsius represents the freezing point of water and 100 degrees Celsius represents the boiling point of water at standard atmospheric pressure
2. **Relationship between Kelvin and Celsius**:
- To convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This adjustment is made because the Kelvin scale starts from absolute zero, which is -273.15 degrees Celsius.
3. **Given Relationship**:
- The given information states that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. This means that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature.
- We can express this relationship mathematically as [tex]\( K = C + 237.15 \).[/tex]
- Here, [tex]\( K \)[/tex] represents the temperature in Kelvin, and [tex]\( C \)[/tex]represents the temperature in degrees Celsius.
- Adding 237.15 to the Celsius temperature converts it to Kelvin.
- The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number of red marbles that Suzan has in her hand after she selects three marbles from a bag containing three red marbles and two green ones.
Answer:
E (X) = 1.8
Var (X) = 0.36
σ = 0.6
Step-by-step explanation:
Solution:-
- Denote the random variable X : is the number of red marbles that Suzan has in her hand after she selects three marbles.
- Total sample space (bag) have the following quantity of colored marbles:
Bag : { 3 Red , 2 Green }
- Suzan selects three marbles from the bag. The Event (X) defines the number of red marbles out of 3.
- The total number of outcomes / selections for randomly selecting 3 balls from the bag:
All outcomes = 5 C 3 = 10
- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:
X = 1 red marble:
P ( X = 1 ) : Suzan chooses 1 Red marble from the available 3 red marble and 2 green marbles.
P ( X = 1 ) = [ 3C1*2C2 ] / all outcomes = (3*1) / 10 = 0.3
X = 2 red marble:
P ( X = 2 ) : Suzan chooses 2 Red marble from the available 3 red marble and 1 green marbles.
P ( X = 2 ) = [ 3C2*2C1 ] / all outcomes = (3*2) / 10 = 0.6
X = 3 red marble:
P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.
P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1
- The probability distribution is as follows:
X : 1 2 3
P (X): 0.3 0.6 0.1
- The expected value E(X) for the given random variable X is:
E ( X ) = ∑Xi*P(Xi)
= 1*0.3 + 2*0.6 + 3*0.1
=1.8
- The variance Var(X) for the given random variable X is:
Var ( X ) = ∑Xi^2*P(Xi) - [ E(X) ] ^2
= 1^2*0.3 + 2^2*0.6 + 3^2*0.1 - 1.8^2
= 0.36
- The standard deviation for the given random variable X is:
σ = √Var(X)
σ = √0.36
σ = 0.6
The expected value, the variance, and the standard deviation of the given random variable X are 1.8, 0.36, and 0.6 respectively and this can be determined by using the given data.
Given :
X is the number of red marbles that Suzan has in her hand after she selects three marbles from a bag containing three red marbles and two green ones.
The total number of outcomes are:
[tex]\rm \; ^5C_3=10[/tex]
The probability of random variable X are as follows:
X = 1 red marble
P(X = 1) = [tex]\rm \; ^3C_1 \times ^2C_2[/tex] = 0.3
X = 2 red marbles
P(X = 2) = [tex]\rm \; ^3C_2 \times ^2C_1[/tex] = 0.6
X = 3 red marbles
P(X = 3) = [tex]\rm \; ^3C_3[/tex] = 0.1
So, the expected value is given by:
[tex]\rm E(X) = \sum X_i \times P(X_i)[/tex]
[tex]= 1\times 0.3+2\times 0.6 + 3 \times 0.1[/tex]
= 1.8
Now, the variance is given by:
[tex]\rm Var(X) = \sum X^2_i \times P(X_i)-(E(X))^2[/tex]
[tex]=1^2\times 0.3+2^2\times 0.6+3^2 \times 0.1-1.8^2[/tex]
= 0.36
Now, the standard deviation is given by:
[tex]\rm \sigma=\sqrt{Var(X)}[/tex]
[tex]\rm \sigma = \sqrt{0.36}[/tex]
[tex]\sigma = 0.6[/tex]
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Solve the equation
x-5=36-7(x+7)
Answer: x = -1
Step-by-step explanation:
1) x - 5 = 36 -7x -49
2) x - 5 = -13 -7x
3) x + 7x =- 13 +5
4) 8x =- 8
5) x = -1
Please mark this as the brainliest answer! :) I hope this helped! <3
Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply
Answer:
The domain is the set of inputs, the range is the set of outputs
The true statements are options (A) f(x) has a domain of all real numbers, and (C) g(x) has a domain of all real numbers.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
A. True: The function f(x) = (4)ˣ has a domain of all real numbers, as exponentiation is defined for any real number exponent.
B. False: The function g(x) = (4)⁻ˣ has a range of y ≥ 0, since exponentiation with negative exponent results in a positive number for any real number x.
C. True: The function g(x) = (4)⁻ˣ has a domain of all real numbers, as exponentiation is defined for any real number exponent.
D. False: The function h(x) = -(4)ˣ has a range of y ≤ 0, since exponentiation with positive exponent results in a positive number for any real number x, and multiplying it by -1 results in a negative number.
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The question seems to be incomplete, the complete question would be as:
Consider the three functions: f(x) = (4)ˣ, g(x) = (4)⁻ˣ, and h(x) = –(4)ˣ
Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply.
A. f(x) has a domain of all real numbers.
B. g(x) has a range of y < 0.
C. g(x) has a domain of all real numbers.
D. h(x) has a domain of x > 0.
What is the solution to the following equation 4x+3y-z=-6
The numbers of dots in the four triangular arrays form a sequence...
Answer:
B
Step-by-step explanation:
How do I solve this ???
Answer:
6
Step-by-step explanation:
area is base times height so 3 times 2 is 6
Hello there!
The area of the purple rectangle is 6 m^2, because 3x2 is 6, and the area of the green one is 24 m^2. Add them together to get the total area:
24 + 6 = 30 m^2
:)
Cool Tees is having a Back to School sale where all t-shirts are discounted by 15%. Joshua wants to buy
five shirts: one costs $9.99, two cost $11.99 each, and two others cost $21.00 each.
a. What is the total cost of the shirts including the discount? b.By law, sales tax is calculated on the discounted price of the shirts. Would the total cost of the shirts
including the 6.5% sales tax be greater if the tax was applied before a 15% discount is taken, rather
than after a 15% discount is taken? Explain. c. Joshua remembered he had a coupon in his pocket that would take an additional 30% off the price
of the shirts. Calculate the new total cost of the shirts including the sales tax.
d.
If the price of each shirt is 120% of the wholesale price, write an equation and find the wholesale
price for a $21 shirt.
Answer:
a. total cost including discount = 64.47
b. sales would be greater if tax was added before
Step--step explanation:
The total cost of the shirts including the discount is $64.57 and total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The cost of one shirt after a 15% discount is $9.99 - ($9.99 x 0.15) = $8.49.
The cost of two shirts costing $11.99 each after a 15% discount
2 x ($11.99 - ($11.99 x 0.15)) = $20.38.
The cost of two shirts costing $21.00 each after a 15% discount
2 x ($21.00 - ($21.00 x 0.15)) = $35.70.
Therefore, the total cost of the shirts including the discount
$8.49 + $20.38 + $35.70
= $64.57.
If the tax is applied before the discount, then the taxable amount would be the original price of the shirts, which is $9.99 + (2 x $11.99) + (2 x $21.00) = $84.97.
The tax on this amount at 6.5% would be $5.52.
After the 15% discount, the total cost of the shirts would be $64.57, which includes the $5.52 tax.
Therefore, the total cost of the shirts after the discount and tax
$59.05 + $5.52 = $64.57.
The total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.
Hence, the total cost of the shirts including the discount is $64.57 and total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.
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Write the number five thousand and twelve in figure
Answer:
5012
Step-by-step explanation:
Five thousand: 5000
Twelve: 12
Five thousand twelve: 5000 +12 = 5012
_____
Comment on "and"
I was taught to reserve the use of "and" for indicating a decimal point. For example, "five thousand and twelve hundredths" = 5000.12
Final answer:
The number five thousand and twelve is written in numerical form as 5012, with 'five thousand' representing 5000 and 'twelve' adding 12.
Explanation:
The number five thousand and twelve written in numerical form is 5012.
When converting numbers from word form to figure form, it is essential to identify the value of each word in the context of place value. In this case:
'Five thousand' indicates 5 times 1000, which gives us 5000.'And' typically means that we are moving on to the next part of the number which in this case is 'twelve,' so we simply add 12 to the previously calculated value.Thus, combining those two values brings us to the total figure of 5012.
How many buses would be needed to drive
all 412 students in the 7 th grade to the zoo, if
each bus holds 57 students?
Answer:
8 busses
Step-by-step explanation:
just divide 412 by 57 and you get 7.228070175438596 witch you round up to 8
Answer:
You need 8 buses
Step-by-step explanation:
Divide 412 by 57 and you will get the answer
I hope this will help u
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A blueprint shows the master bedroom to be 5 inches long and 3 inches wide. The scale on the blueprint is 2 inches : 11 feet. What is the area (in sq ft) of the actual bedroom?
Answer:
The area of the bedroom actually is 453.75 sq ft.
Step-by-step explanation:
Given that,
A blueprint shows the master bedroom to be 5 inches long and 3 inches wide.
The scale on blueprint is 2 inches : 11 feet.
It means 2 inches = 11 feet.
Then,
1 inches [tex]=\frac{11}{2}[/tex] feet = 5.5 feet.
So,
The length of the bedroom is 5 inches = (5×5.5) feet=27.5 feet
The wide of the bedroom is 3 inches = (3×5.5) feet= 16.5 feet
The area of the bedroom actually is = length × wide
=(27.5×16.5) square ft
=453.75 square ft
Final answer:
To find the area of the actual bedroom, you need to use the scale provided on the blueprint. By setting up ratios and solving for the actual length and width, you can find that the area of the actual bedroom is 453.75 square feet.
Explanation:
To find the area of the actual bedroom, we need to use the scale provided on the blueprint. The scale states that 2 inches on the blueprint represents 11 feet in reality. So, we can set up a ratio to find the actual length and width of the master bedroom:
Length ratio: 2 inches ∩ 11 feet = 5 inches ∩ x feet
Width ratio: 2 inches ∩ 11 feet = 3 inches ∩ y feet
By cross-multiplying and solving for x and y, we can find that x = 27.5 feet and y = 16.5 feet. Therefore, the actual length of the bedroom is 27.5 feet and the actual width is 16.5 feet. To find the area, we simply multiply the length and width: Area = 27.5 feet × 16.5 feet = 453.75 square feet.
7. A rock is thrown with a height equation of h=-1612 20t 5 (where h is the height of the rock in feet at any given time of t in seconds). Will it reach a height of 30 feet? Explain your answer
Answer:
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Step-by-step explanation:
Given;
The height equation of the rock;
h = -16t^2 +20t +5
To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;
dh/dt = 0
dh/dt = -32t +20 = 0
At Maximum height.
t = 20/32
We then substitute into the height equation.
h(max) = -16(20/32)^2 + 20(20/32) +5
h(max) = 11.25 ft
Since h(max) is less than 30 ft, it will never reach a height of 30ft
The maximum height it can reach is 11.25ft.
Answer:
There are no real solution to the equation [tex]h = -16t^2 +20t +5[/tex] when h = 35 ft.
Step-by-step explanation:
Here we have the equation for the height of the rock in ft given as
[tex]h = -16t^2 +20t +5[/tex]
For the rock to reach 30 ft we must have
[tex]30 = -16t^2 +20t +5[/tex]
That is [tex]0 = -16t^2 +20t +5 - 30 = -16t^2 +20t -25[/tex]
[tex]0 = -16t^2 +20t -25[/tex] or
[tex]16t^2 -20t +25 = 0[/tex]
From which it is observed that since the root of the equation is given by the quadratic formula
b² should be greater than 4·a·c however
(-20)²[tex]\ngeqslant[/tex] (4×16×25)
Hence the equation has only imaginary roots.
Solve each equation and check.show all work
Answer:
p= 8
Step-by-step explanation:
1/2 p = 4
p = 2(4)
Answer:
p=8
Step-by-step explanation:
This will ake the problem 8/2 which is the same as 4.
Thus, 8 is your answer.
Leave 5 stars if this helped.
ladders can be extremely dangerous if not used correctly. a 20 ft. extension ladder is played on a wall making and angle 85° with the ground. if a person at top of the ladder leaned back, rotating the ladder away from the wall, how far to the nearest foot would the person fall before he hit the ground?
Answer: Approximately 33 feet
Step-by-step explanation: Please refer to the attched diagram.
The 20ft ladder is placed on the wall at an agle of 85° with the ground.
If the person on the ladder were to lean back and fall to the ground (rotating the ladder away from the wall), then the distance he would have covered before he hits the ground is depicted by the arc as shown in the diagram. The ladder upon touching the ground would remain the same, which is 20 feet. So what the question requires is the length of the arc made during the fall, and the length of the ladder both on the wall an on the floor would be the radius (20 ft) while the angle subtended by the arc is 95° ( angles on a straight line equals 180, that is 85 + 95 = 180)
Therefore the length of an arc is given as;
Length of arc = (∅/360) x 2πr
Where ∅ = 95 and r = 95
Length of arc = (95/360) x 2 x 3.14 x 20
Length of arc = (19/72) x 125.6
Length of arc = 2386.4/72
Length of arc = 33.1444
Length of arc ≈ 33 feet (To the nearest foot)
The person on the ladder would have travelled approximately 33 feet before he/she hits the ground.
The person falls a distance of approximately 19.924 feet.
In this question, we must determine the vertical distance travelled by the person ([tex]y[/tex]), in feet. Let consider that the ladder is set between a horizontal ground and a vertical wall.
Then, the vertical distance is determined by the following trigonometric expression:
[tex]y = l\cdot \sin\theta[/tex] (1)
Where:
[tex]l[/tex] - Ladder length, in feet[tex]\theta[/tex] - Ladder angle with the ground, in sexagesimal degreesIf we know that [tex]l = 20\,ft[/tex] and [tex]\theta = 85^{\circ}[/tex], then the vertical distance travalled by the person:
[tex]y = (20\,ft)\cdot \sin 85^{\circ}[/tex]
[tex]y \approx 19.924\,ft[/tex]
The person falls a distance of approximately 19.924 feet.
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Your family is traveling to Mexico on vacation. You have saved 500 to spend. If with Mexican pesos is equivalent to $25 how much money will you get when you exchange $500 for Mexican pesos?
Answer: 20 pesos.
Step-by-step explanation: Your basically dividing 500 by 25. Hope this was helpful. :)
Answer:
20 ₱ (Pesos)
Step-by-step explanation:
$500 to Mexican Pesos
$25 = ₱1
25*4*5 = 1*4*5
$500 = 20 ₱
Which of the following equations could describe a square pyramid? Select all that apply.
A. 3Vh=B
B. V=1/3 lwB
C. w= 3V/lh
D. V/B=h/3
E. V=w^2h/3
F. 1/3= VBh
C. w= 3V/lh
D. V/B=h/3
E. V=w^2h/3
The equation that can describe a square pyramid include:
w = 3v/lhv/b= h/3v = w²h/3What is a square pyramid?It should be noted that a square pyramid simply means a pyramid that has a square base.
The equations that could describe a square pyramid include w = 3v/lh, v/b = h/3, and v = w²h/3. When the top is above the center of the square, it's a right square pyramid.
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It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number $h$ of hours you can rent the canoe.
Answer:
the equation would be
28÷(11.50+5.50)
hope this helps :)
Answer:
28=5.50h+11.50
Step-by-step explanation:
Use the distributive property
Answer:
20x + 12y -21
Step-by-step explanation:
Do the operation and put in the another side.
Answer:
4(5x+3y-7) = [20x] + [12y] + [- 28]
Step-by-step explanation:
4(5x+3y-7)
1) Distribute the 4 to each term in the parenthesis.
4(5x) + 4(3y) + 4(-7)
2) Multiply.
20x + 12y - 28 ← Final Answer
Margaret gat a 7/23 balloon mortgage and her initial payments were $915. She decided to refinance her balloon payment with a 30 year mortgage and her new payments were $895. What is the total financed cost she paid for her house? A. $337,320 B. $34,020 C. $399,060 D. $333,020
Answer:
correct option is C. $399,060
Step-by-step explanation:
given data
balloon mortgage = 7/23
initial payments = $915
time = 30 year
new payments = $895
solution
we know here that 7/23 is that loan has fixed rate = first 7 years.
so that initial payments for 7 years is here
initial payment = 7 × 12 × 915
initial payment = $76860
and
payments for 30 years when refinance her balloon
payments for 30 year = 30 × 12 × 895
payments for 30 year = $322200
so total financed cost paid for her house is
total financed cost = $76860 + $322200
total financed cost = $399,060
so correct option is C. $399,060
Final answer:
To determine the total financed cost of Margaret's house, one must sum the payments made during the initial balloon mortgage and the subsequent 30-year mortgage, totaling $399,060 (Option C).
Explanation:
The total financed cost that Margaret paid for her house can be calculated by adding the payments made during her initial 7-year balloon mortgage period to the payments for the 30-year mortgage she refinanced into.
For the balloon mortgage: 7 years = 84 months. Therefore, the total paid during this period is 84 months × $915/month = $76,860.
For the refinanced mortgage: 30 years = 360 months. Hence, the total paid after refinancing is 360 months × $895/month = $322,200.
Adding these two amounts gives us the total financed cost which is $76,860 + $322,200 = $399,060. The answer to the student’s question is C. $399,060.
An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with length 16m, width 10m, and depth 5m. Suppose water is pumped into the pool at a rate of 40m3 per hour. How many hours does it take to fill the empty pool?
Answer:
it will take 20hrs to fill the pool
Answer:
It would take 20 hours to fill the pool.
Step-by-step explanation:
We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex], [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].
there are 2 piles of paper on a desk. each pile has the same number of papers. there are 12 people in all on the desk. how many papers are in each pile?
Answer:
6
Step-by-step explanation:
for 12 papers?
12 is the total amount
2 is the amount of piles
12 divided by 2 is 6.
there are 6 papers in each pile
Final answer:
To find out the number of papers in each pile, divide the dozen papers by the two piles, resulting in 6 papers per pile.
Explanation:
The question asks about dividing papers into two piles with an equal number of papers in each pile. Since it mentions there are 12 papers in total on the desk, we know that the number 12 represents a dozen, which is a common grouping for small objects to make counting and handling more efficient. To find out how many papers are in each pile, we simply divide the total number of papers by the number of piles. There are 2 piles on the desk, so we would perform the following calculation:
Determine the total number of papers: 12 (a dozen).Divide the total number of papers by the number of piles: 12 papers ÷ 2 piles = 6 papers per pile.Therefore, each pile contains 6 papers.
help with properties of rhombus,rectangles and squares
Answer:
<1 : 36 degrees
<2 : 90 degrees
<3 : 36 degrees
<4 : 54 degrees
Step-by-step explanation:
First off, rhombus's have right angles formed at the middle, meaning that <2 is 90 degrees. Then, it's given that angle is 54 degrees, and its alternate interior angle is the one that is adjacent to <3. To find <1, add 90 and 54, and subtract that from 180. So <1 is 36 degrees. So that automatically makes < 3, 36 degrees and < 4, 54 degrees.
A contractor had $3,285 to spend for doors and hammers. Doors cost $75 each. He bought the greatest number of doors that he could buy. He will use the money he has remaining to buy hammers that cost $15 each. What is the greatest number of hammers the contractor can buy with the money he has remaining?
Answer:
4 hammers
Step-by-step explanation:
Please refer to the attached image for explanations
True or false?You can represent the distance of an object underground using negative numbers.
Answer: True
Step-by-step explanation:
If you draw a vertical number line, the numbers in it will infinitely extend in both directions (up and down), having the zero 0 as the neutral number (the origin).
Then, the numbers that are above the origin are the positive integers and represent the distance of an object above zero, while the numbers below the origin are the negative integers and represent perfectly the distance of an object underground (below the origin).
The statement is true, negative numbers can be used to represent the distance of an object below a reference point, such as underground relative to the surface.
True or false? You can represent the distance of an object underground using negative numbers.
The statement is true. In mathematics, especially when dealing with physical situations like displacements and positions, using negative numbers to indicate direction is a common practice. We often choose a frame of reference and a positive direction at the beginning of a problem. In this context, for example, if we define the surface of the ground as our reference point and the direction away from the center of the Earth (upwards) as positive, then it would take sense to use negative numbers to represent the distance of an object that is located underground, indicating it is below the reference point.
What is the volume of this contaniner
Answer: 4ft too the 2 power
Step-by-step explanation:
Answer:
2
Step-by-step explanat
Which one is bigger 25 mm or 3 cm
Answer:
3 cm
Step-by-step explanation:
3 cm converted to mm would be 30 mm which is bigger than 25 mm
Lillian says that 25% of a number will always be less than 75% of any other number.
Complete one inequality to support Lillian's claim and one to show that she is incorrect.
CLEAR CHECK
Support
25% of
< 75% of
Refute
25% of
> 75% of
Answer:
(a)25% of 100 < 75% of 100
(b)25% of -100 > 75% of -100
Step-by-step explanation:
If Lillian says that 25% of a number will always be less than 75% of any other number.
We are required to complete two inequality one of which supports and the other refutes the statement.
Support
Let our number be 100
25% of 100 < 75% of 100
25<100
This is true.
Refute
Let our number be -100
25% of -100 > 75% of -100
-25>-100
Therefore, for negative numbers, the inequality will not be true as:
-25>-100.