Answer: They are asking which 2 numbers have a least common multiple of 60.
Step-by-step explanation:
12 and 20:
12=2*2*3
20=2*2*5
LCM= 2*2*3*5= 60
4 and 60:
4 is already a factor of 60, so it is 60.
Covert the following decimals to percents.
0.15 =_%
Answer:
15%
Step-by-step explanation:
0.15 x 100 = 15%
*HELP I WILL MARK BRAINLIST*
The volume of plaster Darla needs for the miniature stairs is 418³.
What is the volume?The volume is the space occupied by a three-dimensional object.
Volume is the product of the multiplication of length, width, and height.
We first calculate the total volume for this situation, assuming that the stairs have not cut portions.
Secondly, calculate the volume of the cut portions and subtract the result from the total volume to get the volume of the stairs, which represents the quantity of plaster required by Darla.
Length of the miniature stairs = 12 cm
Width of the miniature stairs = 11 cm
Height of the miniature stairs = 4 cm
The volume of the stairs with the cut portion = 528 cm³ (12 x 11 x 4)
The length of the cut portion of the stairs = 12 cm
The width of the cut portion of the stairs = 11 cm
The height of the cut portion of the stairs = 2 cm (4 - 2)
The volume of the cut portion of the stairs = 110 cm³ (11 x 5 x 2)
The volume of the stairs without the cut portion = 418 cm³ (528 - 120)
The total volume of plaster can also be computed separately as the volume of the larger object plus the volume of the smaller object.
418 cm³= (7 cm x 4 cm x 11 cm) + (5 cm x 2 cm x 11 cm)
= (308 cm³ + 110 cm³)
Thus, the quantity (volume) of plaster Darla needs is 418 cm³.
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Item 16 The solids are similar. Find the surface area S of the red solid. Round your answer to the nearest tenth.
reertttAnswer:
treryeryutruytruw
Step-by-step explanation:
tryutrytry
Kias mom is having triplets. Each baby could either be male or female. Which outcome would be included in the compound event "more than one female"
Answer:
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
Step-by-step explanation:
Given - Kias mom is having triplets. Each baby could either be male or female.
To find - Which outcome would be included in the compound event "more than one female"
Solution -
The sample space outcomes are -
{MMM, MMF, MFM, MFF, FMM, FMF, FFM, FFF}
Now,
The outcomes that have more than 1 female are -
MFF, FMF, FFM, FFF
NEED HELP ASAP!!! Which of the following shows the prime factorization of 72 using exponential notation?
A) 8x9
B)2^2 x 3^2
C)2 x 6^2
D)2^3 x 3^2
Answer:
D)2^3 x 3^2
Step-by-step explanation:
2 x 2 x 2 = 8
3 x 3 = 9
8 x 9 = 72
Ana compró una cartera cuyo precio original es de x dólares con el 10% de descuento y un perfume con precio original de B dólares con un descuento del 15%¿cuanto gasto en total Ana?
Answer:
Tarea:
Ana compró una cartera cuyo precio es x dólares con el 10% de descuento y un perfume con precio original en dólares con un descuento del 15%. ¿Cuánto gastó Ana en total?
- Solución:
El precio estará en lenguaje algebraico, ya que no nos dan el dato de cuánto costó cada artículo.
• Hallamos el precio de la cartera con el descuento:
El precio original es x, entonces:
Regla de tres:
100 % --------> x
10 % -----------> ?
10 . x : 100 = ?
10x/100 = ?
El 10% del precio de la cartera es 10x/100.
Entonces el precio de la cartera es (x-10x/100).
• Hallamos el precio del perfume con el descuento:
El precio original es y, entonces:
Regla de tres:
100% -------> y
15 % --------> ?
15.y/100
El 15% del perfume es 15y/100.
Entonces el precio del perfume con el descuento es (y-15y/100).
Entonces lo que gastó en total es:
(x - 10x/100) + (y - 15y/100)
Step-by-step explanation:
pls give me brainless
Consider the series ∑n=1[infinity]1/n(n+5) Determine whether the series converges, and if it converges, determine its value. Converges (y/n): Value if convergent (blank otherwise):
To get an explicit value for this convergent series is not straightforward and may not be possible using elementary methods. Therefore, I can't provide you with the exact value if convergent.
To determine whether the series ∑n=1[infinity] 1/n(n+5) converges or not, we can use the comparison test. The comparison test states that if 0 ≤ a_n ≤ b_n for all n and the series ∑b_n converges, then the series ∑a_n also converges. Conversely, if the series ∑b_n diverges, then the series ∑a_n also diverges.
Your series is: ∑n=1[infinity] 1/n(n+5)
Let's compare it with the series: ∑n=1[infinity] 1/n^2
First, note that 0 ≤ 1/n(n+5) ≤ 1/n^2 for all n. Since the series ∑n=1[infinity] 1/n^2 is a p-series with p=2, which is greater than 1, it converges. Therefore, by the comparison test, the series ∑n=1[infinity] 1/n(n+5) also converges.
Converges (y/n): y
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What is the slope of a line parallel to the line whose equation is 12x+2y=24Fully simplify your answer.
Answer:
The slope is -6
Step-by-step explanation:
12x+2y=24
We want to find the slope of a line that is parallel to this line.
Parallel lines have the same slope, so we need to find the slope of this line.
We can get this equation in slope intercept form to find the slope
y = mx+b where m is the slope
Subtract 12x from each side
2y = -12x+24
Divide each side by 2
y = -12x/2 +24/2
y = -6x+12
The slope is -6
3 step problems.....
Submarine 1 : at 4,863 feet and is ascending 81.1 feet per minute
Submarine 2: at 3,645 feet and is ascending 76.9 feet per minute
so, step 1:
The third statement is the true
Step 2:
For the same depth
-4,863 + 81.1 m = -3,645 + 76.9 m
solve to find m
so,
81.1 m - 76.9 m = 4863 - 3645
4.2 m = 1,218
m = 1,218/4.2 = 290 minutes
==============================================================================
what’s the answer ??
Answer:
Left box: 1/2n
Right box = 2n - 22
Step-by-step explanation:
Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.
Thus, you want to put 1/2n in box on the left.
Twice the number and 22 less than this is given by: y: 2n - 22 less than this means we subtract. Thus, we have 2n - 22 as the numerator on the right hand side of the equation.
Thus, you want to put 2n - 22 in the box on the right.
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 29. 7 feet. The distance between the birdwatcher and the second bird is 42. 1 feet. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Two trees that are 29 point 7 feet tall with a bird on top of each. Distance between birdwatcher and first bird is 42 point 1 feet. Angle of depression between birdwatcher and first bird is unknown. © 2011 Jupiter Images Corporation 45. 1° 44. 9° 54. 8° 35. 2°.
Answer:
I think its 44.9
Step-by-step explanation:
Henry opens a savings account that has a 4.5% annual interest
rate. After 18 months, he receives $75,000. How much did he invest?
Show all work
Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.
Here are the steps on how to calculate the amount Henry invested:
Convert the annual interest rate to a monthly rate.
\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)
Calculate the number of years.
\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)
Use the compound interest formula to calculate the amount Henry invested.
\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)
where:
FV is the future value ($75,000)
PV is the present value (unknown)
r is the interest rate (0.375%)
t is the number of years (1.5 years)
\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)
\$75,000 = PV * 1.0297
\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)
PV = \$72,831.68
Therefore, Henry invested \$72,831.68 in the savings account.
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Ue the given condition to write an equation for the line in point-lope form and in lope-intercept form. Slope = 1/2, paing through the origin
The equation of the line in point-slope form and in slope-intercept form are both y = 1/2x.
There are three common forms of the equation of a line:1. Point-Slope Form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.
2. Slope-Intercept Form: y = mx + b, where m is the slope of the line and b is the y-intercept.
3. Standard Form: Ax + By = C, where A and B are coefficients that define the slope and y-intercept of the line.
If a line has a slope of 1/2 and passing through the origin, then:
m = 1/2
(x1, y1) = (0,0)
Plug in the values in the point-slope form and in slope-intercept form.
point-slope form
y - y1 = m(x - x1)
y - 0 = 1/2(x - 0)
y = 1/2x
slope-intercept form
y = mx + b
y = 1/2x + b
Substitute the values of x and y and solve for the y-intercept, b.
0 = 1/2(0) + b
b = 0
y = 1/2x + 0
y = 1/2x
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For what values of c does the binomial 5-3c take on a value which is greater than 80?
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
add all the angles and make them equal to 360
88 + 108 + (3x-6) + 2x = 360
196 + 5x -6 = 360
190 + 5x = 360
5x = 170
x = 34 = answer
Answer:
x = 34
Step-by-step explanation:
A warren of rabbits has a population of 25. The population is increasing at a rate of 20% per year. How can you write an exponential growth function to find the monthly growth rate?
Answer:
f(x)= 25(1 + 0.20)^t
Step-by-step explanation:
The formula- f(x)= a(1+r)^x
a= initial amount (25)
r= growth rate (20%... 0.20)
x= # of times (we don't have that in here)
When you plug in the values, you get
f(x)= 25(1 + 0.20)\({t}\)
hope this helps!!
What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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a local bbq restaurants offers 2 side dishes with a lunch plate. there are 7 side dishes. how many choices of side dishes does a customer have? note: there is no requirement that the customer chooses different side dishes (i.e. he or she can choose say baked beans twice as their side dish).
The number of choice out of 7 that consumer have are 42.
What is permutation?The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.
According to given data:Number of choices of side dishes does a customer have,
total dishes(n)=7 , r = 2
ⁿP₂
⁷P₂
7×6 = 42
Thus required number of ways are 42.
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REALLY EASYYYY, easy points!
If Jada has 25 dimes, how many quarters does she have?
Answer:
10 quarters is the answer thx for the points
: CC> Chapter 9: Mean> Section Exercises 9.2 > Exercise 13
13
Complete these two different sets of data so that they each have six values and a mean of 21.
20, 20.5, 20.5, 21.5, 21.5,
20, 21, 21, 21, 21,
Answer:
To complete the first set of data so that it has six values and a mean of 21, you can add the following values: 20, 20.5, 20.5, 21.5, 21.5, 21.
The mean of this set is calculated as follows: (20 + 20.5 + 20.5 + 21.5 + 21.5 + 21) / 6 = 21.
To complete the second set of data so that it has six values and a mean of 21, you can add the following values: 20, 21, 21, 21, 21, 22.
The mean of this set is calculated as follows: (20 + 21 + 21 + 21 + 21 + 22) / 6 = 21.
Davinder earns 4.5% interest per year on the money she has saved in her bank account.
She starts off with £200.
How much is in her account after five years?
Just enter the value
The amount of money in Davinder's account after five years is equal to £236.
How to calculate the simple interest and future value?Mathematically, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P is the principal or starting amount.R is the interest rate.A is the future value.T represents the time measured in years.Substituting the given parameters into the simple interest formula, we have;
S.I = 200 × 4.5/100 × 5
S.I = 200 × 0.045 × 4
S.I = £36.
Next, we would calculate the future value as follows;
Future value, A = S.I + P
Future value, A = £36 + £200
Future value, A = £236.
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Eliza went to sleep at 9:35 and woke up 8 hours and 45 minutes later. what time did she wake up?
The time at which Eliza woke up as per given duration of her sleep is equal to 18:20 (or 6:20 PM).
To determine the time Eliza woke up,
Add the duration of her sleep (8 hours and 45 minutes) to the time she went to sleep (9:35).
First, let's convert the duration of sleep to minutes,
8 hours
= 8 × 60
= 480 minutes
45 minutes = 45 minutes
Now, let's add the minutes of sleep to the minutes of the sleep start time,
9:35 + 480 minutes + 45 minutes
Adding the minutes, we get,
9:35 + 525 minutes
To convert the minutes back into hours and minutes,
divide 525 by 60 to get the additional hours and remainder as the additional minutes,
525 minutes ÷ 60
= 8 hours with a remainder of 45 minutes.
Adding the additional hours and minutes to the sleep start time,
9 hours + 8 hours = 17 hours
35 minutes + 45 minutes = 80 minutes
Since 80 minutes is equivalent to 1 hour and 20 minutes, adjust the time accordingly,
17 hours + 1 hour = 18 hours
80 minutes - 60 minutes = 20 minutes
Therefore, time at which Eliza woke up is 18:20 (or 6:20 PM).
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a software developer wants to know how many new computer games people buy each year. assume a previous study found the variance to be 1.44 . she thinks the mean is 6 computer games per year. what is the minimum sample size required to ensure that the estimate has an error of at most 0.15 at the 99% level of confidence? round your answer up to the next integer.
The minimum sample size required to ensure that the estimate has an error of at most 0.15 at the 99% level of confidence = 426
Here, the population variance is σ² = 1.44
The mean is \(\bar{x}\) = 6
And the margin of error is E = 0.15
The standard deviation is given by,
⇒ σ = \(\sqrt{1.44}\)
⇒ σ = 1.2
Here, the confidence level is 99%
So, the level of signoficance would be,
⇒ α = (100 - 99)%
⇒ α = 0.01
From the normal distribution table the critical value would be,
\(z_{\alpha /2}\) = 2.58
Now we find the sample size :
\(n=(\frac{z_{\alpha /2}\times \sigma}{E} )^2\\\\n=(\frac{2.58 \times 1.2}{0.15} )^2\)
n = 426
Therefore, the sample size is 426
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Jim drove 715miles in 11 hours.
At the same rate, how many miles would he drive in 9
hours?
585 miles per 9 hours
Step-by-step explanation:
715miles per 11 hours
/11 to determine miles per hour
65 miles per 1 hour
× 9 to determine miles per 9 hours
585 miles per 9 hours
Please show your work
Answer:
(Top right) 4
(middle) 9
(bottom left) 3/1 (milk to eggs)
Step-by-step explanation:
I'll just do the workings,
First Vertical Row
6/2 (as you need to put the milk over the eggs) = 3/1 (simplify the fraction, both can be divided by 2)
= 3/1
Second Vertical Row
= x/3 = 3/1 (x is basically milk for the second vertical row)
= x = 3/1 x 3
= x = 9
Milk = 9
Third Vertical Row
x is the egg,
= 12 / x = 3/1 (3/1 is the same as 3)
= x= 12 / 3
= x = 4
Egg = 4
Gloria is designing an outdoor garden for her client and needs to find the
perimeter of the total shape. Write an expression that would represent the
total perimeter so Gloria can buy enough plants to go around the entire
shape.
Show work here: (Make sure answer is in simplified form)
Answer:
21x+4
Step-by-step explanation:
X’s: 21x
#’s: 4
So it will be 21x+4
Micheala pays her cell phone service provider $19.95 per month for her service plan and 15 cents per minute. In June, her phone bill is $127.95. How many minutes did micheala use in June
Answer:
720 minutes
Step-by-step explanation:
Total phone bill = $127.95
Service plan fee = $19.95
Total cost per minute = 127.95 - 19.95
= $108.00
No. of minutes used = Total cost per minute / Rate per minute
= 108.00 / 0.15
= 720 minutes
A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting a 9 and the coin landing on heads?
Answer:
The probability is 1/26
Step-by-step explanation:
Here, we have two different sample spaces to work with and we want to calculate a compound probability.
Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 9. Thus the probability of selecting a 9 is 4/52 = 1/13
Secondly in a flip of coin the probability of the coin landing on head is 1/2
Thus the probability of selecting a 9 and the coin landing on head = probability of selecting a nine * probability of the coins landing on head= 1/13 * 1/2 = 1/26
A bookstore classifies its books by reader group, type of book, and cost. What is the probability that a book selected at random is a child’s book, given that it costs $15?
< $10 > $10
Child Fiction 120 255
Nonfiction 35 60
Adult Fiction 200 110
Nonfiction 75 150
A. 3151005
B. 4701005
C. 315575
D. 470575
Answer:
A) 315/1005
Explanation:
Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005
Favorable choices: 255 + 60 = 315
probability:
favorable choices/total choices
315/1005
21/67
Answer:
Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)
Step-by-step explanation:
Classification of the book in to 3
First let's assign terms to each probability
Let:
T1= total number of type of Reader's group
T2 = total number of Type of book
T3 = total number of type of Cost
Probability of child's book and cost $15= Pr(Cb) & Pr(cost $15)
Then find probability of child's book and cost separately:
Pr of child's book = Pr(Cb)
Pr(Cb) = (number of child's book)/ total number of type of group
Ncb = number of child's book
Pr(Cb) = Ncb/T1
Pr (cost $15) = $15 book/total number of cost
Pr (cost $15) = 15/T3
probability of child's book and cost $15 = Pr(Cb) × Pr (cost $15)
= Ncb/T1 × 15/T3
Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)
Which value of x makes the equation
0.25(x + 20) = 0.1(x + 70) + 0.05x true?
A.0.2
B.25
C.20
D.2
Answer:
C. 20
Step-by-step explanation:
20 is the only value that makes x true. Basically x = 20.
We find this by doing the "good ol' Isolate the variable by dividing each side by factors that don't contain the variable."
Hope this helps and have a nice day!