Answer:
150 feet
Step-by-step explanation:
in order to find the solution we have to take the L.C.M of 25 and 30
L.C.M of 25 and 30 is 150
so after 150 feet , they will both fall down
Answer: They will both fall down after 150 feet.
Step-by-step explanation:
Hi, to answer this question we have to find the least common multiple (LCM)
of 30 and 25:
To obtain the multiple of a number we have to multiply that number by another number (not zero) in the multiplication table order (by 1,by 2,by 3,etc)
Multiples of 30:30,60,90,120,150
Multiples of 2525,50,75,100,125,150
The LCM is a number that appears on both lists, and is the smallest.
They will both fall down after 150 feet.
Feel free to ask for more if needed or if you did not understand something.
The number of tickets sold on Friday at a movie theater was 2,000 more than the number of tickets sold on Tuesday. 1,250 tickets were sold on Tuesday. Which integer represents the number of tickets sold on Friday? A) -2,000 B) -1,250 C) 2,000 D) 3,250
Answer:
The answer is D)
Step-by-step explanation:
The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be required to cover 150 such boxes.
Answer:
142.2 meters.
Step-by-step explanation:
We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.
Let us find total surface area of box using surface area formula of cuboid.
[tex]\text{Total surface area of cuboid}=2(lb+bh+hl)[/tex], where,
[tex]l[/tex] = Length of cuboid,
[tex]b[/tex] = Breadth of cuboid,
[tex]w[/tex] = Width of cuboid.
[tex]\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)[/tex]
[tex]\text{Total surface area of box}=2(2520+432+840)[/tex]
[tex]\text{Total surface area of box}=2(3792)[/tex]
[tex]\text{Total surface area of box}=7584[/tex]
Therefore, the total surface area of box will be 7584 square cm.
To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.
[tex]\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}[/tex]
[tex]80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2[/tex]
[tex]\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}[/tex]
[tex]\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}[/tex]
[tex]\text{ Length of canvass}=14220\text{ cm}[/tex]
Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.
[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}[/tex]
[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}[/tex]
[tex]\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}[/tex]
[tex]\text{ Length of canvass}=142.20\text{ m}[/tex]
Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.
When the sum of 8 and twice a positive number is subtracted from the square of the? number, 0 results. Find the number.
Answer:
4
Step-by-step explanation:
The equation is
x^2 - (2x + 8) = 0 where x is the number to be found.
removing the parentheses by distributing the negative:-
x^2 - 2x - 8 = 0
(x - 4)(x +2) = 0
x = 4, -2.
The value of x must be 4 because it is positive.
Felicity the clown inflates two balloons in five minutes. Grumpy a clown ties five balloon animals in 12 minutes. They both work at a steady rate. If Felicity maintain this constant rate, how many balloons could she inflate in one hour ?
Answer:
24 balloons
Step-by-step explanation:
1 hour= 60 min
60 min/ 5 min= 12 min
12 min* 2 balloons= 24 balloons per hour
What about Grumpy?Don't pay attention to Grumpy, it was just to confuse you. We are talking about how fast Felicity can inflate balloons.Answer:
The correct answer is A
Sorry if this is late but hope it helps however finds it
Cataloged 2/3 of new books in shipment. Is she has cataloged 52 books what is the number of books shipped in total
Answer:
78 books
Step-by-step explanation:
Use proportion: If 52 is 2/3 of the books then number of books shipped = 52 * the inverse of 2/3 which is 52 * 3/2:-
52 * 3/2
= 156/2
= 78 books
Pls help I'm bad at math v.v
Lines m and n are parallel.
Answer:
The measure of angle 1 is 55.
Step-by-step explanation:
The top angle= 75 because of the vertical angle theorem
The right angle= 50 because of the alternate exterior angle theorem
75+50=125
There are 180 degrees in a triangle so the angle has to equal 55
The opening balance of one of Jennies 30-day billing cycles for her credit card was $1220, and it remained that amount for the first 10 days of her billing cycle. She then made a purchase for $470, increasing her balance to $1690, where it remained for the next 10 days. Jennie then made a payment of $350, so her balance for the last 10 days of the cycle was $1340. The APR of Jennies credit card is 33%, QUESTION 1: What is her periodic interest rate? QUESTION 2: How much was Jennie charged in interest for the billing Cycle?
Answer:
1) 2.71%
2) $38.32
Step-by-step explanation:
Opening balance = $1220
Balance after 10 days (after expense) = $1690
Balance after 10 days(after payment) = $1340
APR = 33%
1) Periodic interest rate = APR × [tex]\frac{No. of days in a billing cycle}{365}[/tex]
= 33%× 30/365
= 2.71%
2) Interest charged for first 10 days = [tex]\frac{1220*2.71*\frac{10}{30} }{100}[/tex]
= $11.02
Interst charged for the next 10 days = [tex]\frac{1690*2.71*\frac{10}{30} }{100}[/tex]
= $15.2
Interest charged for the next 10 days = [tex]\frac{1340*2.71*\frac{10}{30} }{100}[/tex]
= $12.10
Total interest for 30 days = 11.02+15.2+12.10
= $38.32
What are the factors of m^2-6m+6m-36?
In parallelogram ABCD below, line AC is a diagonal, the measure of angle ABC is 40 degrees, and the measure of angle ACD is 57 degrees. What is the measure of angle CAD
Answer:
The measure of angle CAD is 83 degrees.
Step-by-step explanation:
Given information: ABCD is a parallelogram, AC is a diagonal, [tex]\angle ABC=40^{\circ}[/tex] and [tex]\angle ACD=57^{\circ}[/tex].
The opposite sides of parallelogram are congruent.
The diagonal AC divides the parallelogram in two congruent triangles.
In triangle ABC and ADC,
[tex]AB\cong CD[/tex] (Opposite sides of parallelogram)
[tex]\angle ABC\cong \angle ADC[/tex] (Opposite angles of parallelogram)
[tex]BC\cong DA[/tex] (Opposite sides of parallelogram)
By SAS postulate,
[tex]\triangle ABC\cong \triangle CDA[/tex]
Since we know that opposite angles of parallelogram are equal, therefore
[tex]\angle ABC\cong \angle ADC[/tex]
[tex]\angle ADC=40^{\circ}[/tex]
According to the angle sum property the sum of interior angles of a triangle is 180 degrees.
[tex]\angle CAD+\angle ACD+\angle ADC=180^{\circ}[/tex]
[tex]\angle CAD+57^{\circ}+40^{\circ}=180^{\circ}[/tex]
[tex]\angle CAD=83^{\circ}[/tex]
Therefore the measure of angle CAD is 83 degrees.
Mr. Fox's had is students identify the sex of each of their frog's while they performing their dissections. There were a total of 46 groups for which there were 19 females and 27 males identified. He has one more group that needs to complete their dissection, the probability that it will be a male is approximately 59% based on the results of the first 46 groups. This is an example of:
A Experimental Probability
B Can not determine
C Theoretical Probability
D Neither
Answer:
A Experimental Probability
Step-by-step explanation:
The 59 percent is based on the data from the actual data. The theoretical probability is 50 percent for male and 50% and female.
Simplify (in picture)
[tex]x^2+2x+1=x^2+x+x+1=x(x+1)+1(x+1)=(x+1)(x+1)\\----------------------\\2x+2=2(x+1)\\----------------------\\\\\dfrac{2x+2}{x^2+2x+1}=\dfrac{2(x+1)}{(x+1)(x+1)}\\\\\text{Canceled}\ (x+1)\\\\=\boxed{\dfrac{2}{x+1}}[/tex]
The quantity best expressed as -3.2 is ___ .
The quantity best expressed as +5.1 is ___ .
blank one possible answers
3.2 feet above sea level
a withdrawal of $3.20
a profit of $3.20
blank two possible answers
a debt of $5.10
a withdrawal of $5.10
5.1 feet above sea level
18 points !!!
✿ The Quantity best expressed as -3.2 is a Withdrawal of $3.20
Because :
[tex]\heartsuit[/tex] The Value which is expressed above sea level should be Positive.
[tex]\heartsuit[/tex] Profit is always a Positive
[tex]\heartsuit[/tex] Withdrawal's are Negative
✿ The Quantity best expressed as +5.1 is 5.1 feet above sea level
Because :
[tex]\heartsuit[/tex] The Value which is expressed above sea level should be Positive.
[tex]\heartsuit[/tex] Debt and Withdrawals are always Negative
Answer:
first part : a withdrawal of 3.20
second part : 5.1 feet above sea level
Step-by-step explanation:
Sammy buys his clothes at super discounts. On saturday he bought shoes regularly priced at $40 for 25% off, and jacket regularly priced at $100 for 30% off before the sales taxe what was the total price of the items sammy bought .Approximately what percent discount did Sammy get on his total purchases
Answer:
A. $100
B. 29%
Step-by-step explanation:
A. To find total price of the items Sammy bought we will add the price of shoes and jacket after discount.
Let us find price of shoes after 25% discount.
[tex]\text{Price of shoes after discount}=40-(\frac{25}{100}*40)[/tex]
[tex]\text{Price of shoes after discount}=40-(\frac{1}{4}*40)[/tex]
[tex]\text{Price of shoes after discount}=40-10=30[/tex]
Therefore, price of shoes after discount is $30.
Now let us find price of jacket after 30% discount.
[tex]\text{Price of jacket after discount}=100-(\frac{30}{100}*100)[/tex]
[tex]\text{Price of jacket after discount}=100-30[/tex]
[tex]\text{Price of jacket after discount}=70[/tex]
Therefore, price of jacket after discount is $70.
Now let us add both prices to find the total price of the items.
[tex]\text{Total price of items}=30+70[/tex]
[tex]\text{Total price of items}=100[/tex]
Therefore, the total price of the items bought by Sammy is $100.
B. To find the percent discount which Sammy got on his total purchases, we will use percent change formula.
[tex]\text{Percent change}=\frac{\text{Difference}}{\text{Original value}}\times 100[/tex]
Total price without discount= 100+40=140
[tex]\text{Discount percent}=\frac{140-100}{140}\times 100[/tex]
[tex]\text{Discount percent}=\frac{40}{140}\times 100[/tex]
[tex]\text{Discount percent}=0.2857142857142857\times 100[/tex]
[tex]\text{Discount percent}=28.57142857142857\approx 29[/tex]
Therefore, Sammy got approximately 29% discount on his total purchases.
Answer:
Sammy bought a car and got a discount of 2/5 off the original price of $30,000. How much did Sammy pay for the car after the discount?
Step-by-step explanation:
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels, what percent of bagels are plain? How many bagels are plain? Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram. Use a percent to compare the amount of salt in a plain bagel to that in a sesame bagel.
Answer:
The number of plain bagels are 18 and it is 75% of the total bagels .
The amount of salt in a plain bagel to that in a sesame bagel is 81.5% .
Step-by-step explanation:
Formula
[tex]Percentage = \frac{Part\ value\times 100}{Total\ value}[/tex]
As given
Jen buys sesame bagels and plain bagels. If the ratio of sesame to plain is 1:3 and Jen bought 2 dozen bagels .
As one dozens contains 12 items .
Thus
Total number of bagels bought by Jen = 2 × 12
= 24
Let us assume that the x be the scalar multiple of sesame bagels and plain bagels .
Number of sesame bagels = 1x
Number of plain bagels = 3x
Than the equation becomes
x + 3x = 24
4x = 24
[tex]x = \frac{24}{4}[/tex]
x = 6
Thus
Number of plain bagels = 3 × 6
= 18
Part value = 18
Total value = 24
Putting all the values in the formula
[tex]Percentage = \frac{18\times 100}{24}[/tex]
[tex]Percentage = \frac{1800}{24}[/tex]
Percentage = 75 %
Therefore the number of plain bagels are 18 and it is 75% of the total bagels .
As given
Suppose each plain bagel has 0.53 gram of salt, and each sesame bagel has 0.65 gram.
Part value = 0.53 grams
Total value = 0.65 grams
Putting all the values in the formula
[tex]Percentage = \frac{0.53\times 100}{0.65}[/tex]
[tex]Percentage = \frac{5300}{65}[/tex]
Percentage = 81.5 %
Therefore the amount of salt in a plain bagel to that in a sesame bagel is 81.5% .
Bryson buys a bag of 64 plastic miniature dinosaurs. Could he distribute them equally into six stroke containers and not have any left over?
Answer:
Yes he will not have any left over
Step-by-step explanation:
because 64 / 6 = 10.666666..
Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!
Answer:
sqrt(15)/2 = g
h = sqrt(5) /2
Step-by-step explanation:
We know that sin 30 = opposite / hypotenuse
sin 30 = h/ sqrt(5)
Multiply by sqrt(5) on each side
sqrt(5) sin 30 = h
sqrt(5) (1/2) = h
h = sqrt(5) /2
cos 30 = adjacent/ hypotenuse
cos 30 = g / sqrt(5)
Multiply each side by sqrt(5)
sqrt(5) cos (30 ) = g
sqrt(5) (sqrt(3)/2) = g
sqrt(15)/2 = g
nearest millimeter, a cell phone is 76mm long and 42 mm wide. What is the ratio of the width to the length? The ratio of the width to the length
Answer:
21:38
Step-by-step explanation:
The answer you get is 42:76, but if you simplify it, it's 21:38 by dividing the ratio by 2.
The longest side of a triangle is six more inches than the shortest side. The third side is twice the length of the shortest side of the perimeter of the triangle is 26 units, what's all three lengths of the triangle?
Answer:
a=5, b=10, c=11
Step-by-step explanation:
a= shortest side
b= "third" side
c= longest side
Equations:
c=6+a
b=2a
a+b+c=26
so we can see there is a in all of the equations, so we can plug all of them into the equation for the perimeter
a+(2a)+(6+a)=26-->4a=20-->a=5
with a, we can plug that into the equations to get b and c
c=6+a-->6+(5)-->c=11
b=2a-->b=2(5)--> b=10
Write an expression for the sequence of operations described below. add q and 10, then subtract r from the result Do not simplify any part of the expression.
Answer:
q + 10 - r
Step-by-step explanation:
add q and 10 = q + 10
then subtract r from the result = q + 10 - r
Answer:
(q + 10) - r
Step-by-step explanation:
The given verbal expression is " add q and 10, then subtract r from the results."
Add q and 10 = q + 10
subtract r from the result = (q + 10) - r
So, the final expression is (q + 10) - r
Mr. Grimm is trying to build a playground set in his backyard. Part of the playground set will have a slide. The ladder is 5 feet tall, and the slide is 7 feet long. What is the distance between the ladder and the bottom of the slide?
Answer:
~5 feet.
Step-by-step explanation:
assuming that it is a right triangle. if a=5 and c=7 then b the other leg is equal to the square root of c squared minus a squared. which equals about 4.9
Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:
Statement Reasons 1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram 2
angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3
BD = BD Reflexive Property 4
triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5
AB = DC, AD = BC Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles
Answer:
The correct option is 1.
Step-by-step explanation:
Statement Reasons
1. AB is parallel to DC and Definition of parallelogram
AD is parallel to BC
2. angle 1 = angle 2, If two parallel lines are cut by a
angle 3 = angle 4 transversal then the alternate
interior angles are congruent
3. BD = BD Reflexive Property
4. [tex]\triangle ADB\cong \triangle CBD[/tex] ASA postulate
5. AB = DC, AD = BC (CPCTC)
If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.
According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.
Therefore option 1 is correct.
AD=6y+40
BC=9y+10
AB= 0.5y+50
Answer:
DC = 55
Step-by-step explanation:
Since this is a parallelogram, opposite sides are congruent. WE need to find the value of y from AD = BC
AD = BC
6y+40 = 9y+10
Subtract 6y from each side
6y-6y+40 = 9y-6y+10
40 = 3y+10
Subtract 10 from each side
40-10 = 3y+10-10
30 = 3y
Divide each side by 3y
30/3 = 3y/3
10 =y
Since opposite sides are congruent
DC = AB
DC = .5y + 50
= .5 (10) +50
=5 + 50
= 55
DC =55
What is the solution set for the open sentence, using the given replacement set ? 6x?2=10 ; {1, 2, 3, 4} ?
Answer:
answer is x=2
Step-by-step explanation: 6x2=12-2=10The solution set for the equation 6x - 2 = 10 using the replacement set {1, 2, 3, 4} is {2}, as 2 is the only number in the set that, when substituted into the equation, satisfies it.
The solution set for the open sentence 6x - 2 = 10 using the given replacement set {1, 2, 3, 4} can be found by solving the equation for x and then checking which numbers in the replacement set satisfy the equation.
Add 2 to both sides of the equation: 6x - 2 + 2 = 10 + 2, which simplifies to 6x = 12.Divide both sides by 6: 6x/6 = 12/6, which simplifies to x = 2.Check if x = 2 is within the replacement set: Since 2 is in the set {1, 2, 3, 4}, x = 2 is the solution that belongs to the replacement set.Therefore, the solution set is {2}.
Enter a rational number that is equivalent to
−20/4
The rational number equivalent to -20/4 is -5.
Explanation:A rational number equivalent to -20/4 is -5. This can be found by dividing the numerator (which is -20) by the denominator (which is 4). The result of this division is -5. Hence, -5 is the rational number equivalent to -20/4.
2x+6=10 is the same as 6+2x=10 this is an example of which algebraic property
Answer:
Commutative property of algebra.
Step-by-step explanation:
We have been given two expressions:
2x+6=10
And 6+2x=10
This is the commutative property of algebra
which is: a+b=c implies b+a=c
Here, a=2x ,b=6 and c=10
On Comparing the two equations with general form of commutative property we get the required result.
A baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold. How many muffins were sold by noon?
Answer:
27 muffins.
Step-by-step explanation:
We have been given that a baker made 60 muffins for a cafe. By noon, 45% of the muffins were sold.
To find the number of muffins sold by noon let us find 45% of 60.
[tex]\text{The number of muffins sold by noon}=\frac{45}{100}\times 60[/tex]
[tex]\text{The number of muffins sold by noon}=0.45\times 60[/tex]
[tex]\text{The number of muffins sold by noon}=27[/tex]
Therefore, 27 muffins were sold by noon.
Is the triangle with side lengths of 18cm, 24cm and 30 cm a right triangle ?
If a, b and c are the lengths of a right triangle and c is the longest side, then:
[tex]a^2+b^2=c^2[/tex]
We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:
[tex]L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s[/tex]
Answer: It's the right triangle. ANSWER THIS PLEASSSSSSSSSS
17. Write a function rule for the following arithmetic sequence and use it to find the 250th term. Show your work.
−3, 1, 5, 9, ….
Function Rule: Determining 250th term:
First check the difference between terms:
[tex]\{1-(-3),5-1,9-5,\ldots\}=\{4,4,4,\ldots\}[/tex]
So every term differs by 4. The first term in the sequence is [tex]a_1=-3[/tex]. Recursively, the sequence is given by
[tex]\begin{cases}a_1=-3\\a_n=a_{n-1}+4&\text{for }n>1\end{cases}[/tex]
Then
[tex]a_2=a_1+4[/tex]
[tex]a_3=a_2+4=a_1+4(2)[/tex]
[tex]a_4=a_3+4=a_1+4(3)[/tex]
and so on, with the general rule
[tex]a_n=a_1+4(n-1)\implies a_n=4n-7[/tex]
Then the 250th term of the sequence would be
[tex]a_{250}=4(250)-7=993[/tex]
Determine the first four terms of the sequence in which the nth term is...
Answer:
1/5, 1/6, 1/7, 1/8
Step-by-step explanation:
The formula for the sequence is (n+3)!/ (n+4)!
The first terms uses n=1
a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5
The first terms uses n=2
a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6
The first terms uses n=3
a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7
The first terms uses n=4
a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8
Answer:
D. 1/5,1/6,1/7,1/8
A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.At this rate,how many gallons of water will the faucet leak in 13 hours?
Answer:
Proportion states that the two fractions or ratios are equal.
As per the given statement: A leaky faucet is losing water and is filling a 8-gallon bucket every 25 hours.
Let x represents the number of gallons of water that faucet leak in 13 hours.
then by definition of proportion;
[tex]\frac{8}{25} =\frac{x}{13}[/tex]
By cross multiply we get;
[tex]13 \times 8 = 25x[/tex]
Simplify:
[tex]104 = 25x[/tex]
Divide both sides by 25 we get;
[tex]x = \frac{104}{25}[/tex]
Simplify:
x = 4.16
Therefore, 4.16 number of gallons of water will the faucet leak in 13 hours