Only 1, 54.
There are obviously no such 1-digit numbers (1 - 9).
Let n = ab be a 2-digit number whose value is 6 times its digit sum, meaning
n = 10a + b = 6 (a + b)
Then
10a + b = 6a + 6b
4a = 5b
Now, 4 and 5 are coprime, so for equality to hold, a must be a multiple of 5 and b must be a multiple of 4.
The only valid multiple of 5 is 5 itself:
• a = 5 ⇒ 5b = 20 ⇒ b = 4
There are 2 multiples of 4 to check. The first one gives the same result as a = 5.
• b = 8 ⇒ 4a = 40 ⇒ a = 10
but a must be 1-digit.
So among the 2-digit numbers, only 1 such number exists, n = 54.
Let n = abc be a 3-digit number satisfying the criterion. Then
n = 100a + 10b + c = 6(a + b + c)
100a + 10b + c = 6a + 6b + 6c
94a + 4b = 5c
c must be a number from 1-9, which means at most 5c = 5•9 = 45.
If we take the smallest possible values of a and b, we have
94•1 + 4•0 = 94
but the smallest value of 94a + 4b is larger than the largest value of 5c.
So there are no such 3-digit numbers.
Can someone please solve this for me?
Answer:
2+4=6
Step-by-step explanation:
ur welcome!!!!!
In a rectangular prism below, RU=45, UT=96, and ST=100, Find the length RS. If applicable, round your answer to the nearest whole number.
Plz helpppp
I will mark brainlest
Answer:
RS=53
Step-by-step explanation:
first find SU using the Pythagorean’s theorem a2+b2=c2
SU=28 then use the Pythagorean theorem to find RS and you get 53
Find the equation of the line containing the points (20,-7) and (10,-2). Type your answer in this order and don't use spaces or decimals. y=mx+b
[tex](\stackrel{x_1}{20}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{20}}}\implies \cfrac{-2+7}{-10}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{20}) \\\\\\ y+7=-\cfrac{1}{2}x+10\implies y=-\cfrac{1}{2}x+3[/tex]
50 PONITS! Only help if you know the answer please and thank you!
Drag each variable to the correct location on the ordered pair. Not all variables will be used.
Triangle ABC is reflected across the y-axis to create triangle A'B'C'. Complete the ordered pair to describe this transformation.
Answer: (-x,y)
Step-by-Step Explanation:
In geometry, when a figure is reflected over particularly the y-axis, one coordinate will change.
The y coordinate will remain the same, not value wise. (positive in your case.)
Wherease the x coordinate will be the opposite additive inverse.
For example if you have (4,3) and it is reflected over the y-axis, the new coordinate will be (-4,y)
Hope this helps! :)
Answer:(-x,y)
Step-by-step explanation: Edmentum users
18 divided by 4 =_____ with _____ left over
Answer:
18 divided by 4 would be 4 with 2 left over
Step-by-step explanation:
4x4 is 16 and to get 18 you have two more.
18 divided by 4 = 4 with 2 left over. This is because 4 can go into 18 4 times (which is 16) and then 2 remains.
I hope this helps. Please mark me as the brainliest!
Solve M = 2pt^4 - 7px for x
Answer:
p= m over 2t to the 4th power -7x
Step-by-step explanation:
yb better
Which mixed number is equivalent to the improper fraction 42/5
4 2/5
7 4/5
8 2/5
9 3/5 (16 points)
Answer:
8 2/5Step-by-step explanation:
To convert, you will need to know how many times five will go into 42. Once found, that will be your whole number. The remainder will be the numerator, and the divisor of the current fraction will become the denominator.
Given fraction:
=> 42/5Knowing how many times five will go into 42.
=> Result: 8 => Remainder: 2The denominator of the given fraction will be the denominator of the created mixed fraction.
=> 8 2/5Hence, Option C is correct.
y = 2x - 5
Does the equation show a proportional relationship?
Yes
No
Answer:
yes
Step-by-step explanation:
yes
pls answer with steps and using indentitie
Find angle spt. Show your work.
Hurry plssss!!!
Answer:
13 degrees
Step-by-step explanation:
Since both angles (QPR and SPT) are angle f, angle SPR is 154 degrees, and angle TPQ is 180 degrees, you can subtract 154 from 180 and get 26. Once you get 26 degrees, divide it by 2 and you will get 13. This should be the answer. Thanks!
Elijah was trying to determine whether one triangle is a dilation of the other. Which statements about his solution are true? Check all that apply.One triangle has side lengths of 3, 6, 7.5. Another triangle has side lengths of 5, 10, 12.5.Elijah’s work:3 is not a factor of 5, so it must be a relationship with addition.3 + 2 = 5. 6 + 2 not-equals 10. 7.5 + 2 not-equals 12.5.Therefore, the triangles are not proportional and cannot form a dilation.Elijah did not know that scale factors can be fractions or decimals greater than zero.Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.Elijah should have compared the ratios Five-thirds = StartFraction 10 Over 6 EndFraction = StartFraction 12.5 Over 7.5 EndFraction to determine if they are equivalent.Elijah needs to know which triangle is the pre-image and which triangle is the image in order to determine if they are proportional.Elijah needs labels on the points to determine which sides correspond when writing the ratios.
Answer:
The First 3 Statements Are Correct.
Step-by-step explanation:
The statements that are false about his solution is Elijah needs labels on the points to determine which sides correspond when writing the ratios.
We are given that;
The statement one triangle is a dilation of the other
Now,
He did not know that scale factors can be fractions or decimals greater than zero. He did not know that dilations are proportional and the relationships are multiplicative, not additive. He should have compared the ratios
[tex]$\frac{5}{3}=\frac{10}{6}=\frac{12.5}{7.5}$[/tex] to determine if they are equivalent.
So, the statements that are true about his solution are:
- Elijah did not know that scale factors can be fractions or decimals greater than zero.
- Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.
- Elijah should have compared the ratios
[tex]\frac{5}{3}=\frac{10}{6}=\frac{12.5}{7.5}[/tex]to determine if they are equivalent.
Therefore, by dilation answer will be Elijah needs labels on the points to determine which sides correspond when writing the ratios.
Learn more about dilation here:
https://brainly.com/question/27212783
#SPJ2
which is more, 1 foot or 15 inches?
Answer:
15 inches
Step-by-step explanation:
simply, one foot is 12 inches, and 15 > 12 :)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
Answer:
RP AND ZW
Step-by-step explanation:
Both sides face the same! Although I'm not extremely sure about this, please tell me if it's right or not ! :)
SOMEONE PLEASE HELP ME
Answer:
someone please help me77 ok
Solve for x 3(6 - x) + 2x = 15
HELP PLEASE I GET SO CONFUSED
3(6 - x) + 2x = 15
18 - 3
-3x+2x = 15
18 - x = 15
-x = 15 - 18
-x =- 3
x = 3
easy - peasy
Answer:
x=3
Step-by-step explanation:
PEMDAS
Or parenthesis, exponent, multiply, divide, addition, and subtraction. (Order of operations)
3(6-x) + 2x = 15
Start with multiplying
18 - 3x + 2x = 15
then combine like terms
18 - x = 15
subtract 18 from each side
-x = -3
times each side by -1 to remove the negative
x = 3
pls help due very shortly
Step-by-step explanation:
the money is 2,121.180 in the next two years
Help me pleaseeeeeeeeeeeeeee
Answer:
So the top right answer choice (x - 10)² = 80 has the same solution as x² - 20x + 20 = 0
Step-by-step explanation:
Let's solve your equation step-by-step.
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 1: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
Let's try the top right answer choice
(x−10)² = 80
Step 1: Simplify both sides of the equation.
x² − 20x + 100 = 80
Step 2: Subtract 80 from both sides.
x² − 20x + 100 − 80 = 80 − 80
x² − 20x + 20 = 0
For this equation: a = 1, b = -20, c = 20
1x² + −20x + 20 = 0
Step 3: Use quadratic formula with a = 1, b = -20, c = 20.
x = −b ± √b² − 4ac / 2a
x = −(−20) ± √(−20)² − 4(1)(20) / 2(1)
x = 20 ± √320 / 2
x = 10 + 4√5 or x = 10 − 4√5
How many different paths are there from (1,2) to (4,7) if i can only go up/right? calculator.
Answer:
15 I think
Step-by-step explanation:
75% shure check your self to be safe
Samantha bought flowers at a craft store for $14.02. She also bought 4 packages of glass beads and 2 vases. The vases cost $3.59 each and the total sales tax was $1.34. The total amount she paid was $28.50,including sales tax. Explain the strategy you would use to find the cost of one package of glass beads
Answer:
It is 0.84
Step-by-step explanation:
It is that because you have to multiply 4 times 14.02 becuase she brought 4 of those. You then have to add 3.59 plus 1.34 plus 28.50 and the total amount that you got from multiplying 14.02 times 4 and the answer you will get is 0.84. Your welcome.
Veronica works at Future Shop and earns $10. 50 per hour, plus 6% commission on sales. Last week Veronica worked 40 hours. What was Veronica's salary if her total sales were $2050?.
Answer:
$543
Step-by-step explanation:
10.50 x 40 =
420
2,050 - 6% =
1,927
2,050 - 1,927 =
123
420 + 123 =
543
Veronica made $543 in the last week including commission
solve the expression
Answer:
1.49011612e18
Step-by-step explanation:
5^20=9.53674316e13
5^6=15625
9.53674316e13*15625=1.49011612e18
At Fun Burger, the burger master can make 25 hamburgers every 5 minutes. The master’s apprentice can make 35 burgers every 7 minutes. The master says that the apprentice still has much to learn because it takes the apprentice more time to make burgers. The apprentice says that they make the same number of burgers in the same amount of time. With whom do you agree? Explain why.
Answer:
The apprentice
Step-by-step explanation:
They both make 5 burgers a minute because, 25/5=5, and 35/7=5
Answer:The apprentice is right.
Step-by-step explanation:
Shown in picture below
Hope this helps :)
Please help me find Sin(g)
Answer:
[tex]sin(G)=\frac{21}{35}[/tex]
Step-by-step explanation:
Solve for line segment CA:
[tex]a^2+b^2=c^2\\\\14^2+(CA)^2=17.5^2\\\\196+(CA)^2=306.25\\\\(CA)^2=110.25\\\\CA=10.5[/tex]
Determine sin(G) which is similar to sin(T)
[tex]sin(G)=\frac{opposite}{hypotenuse}\\ \\sin(G)=\frac{10.5}{17.5}\\ \\G=sin^{-1}(\frac{10.5}{17.5})\\ \\G\approx36.87^\circ[/tex]
Therefore, [tex]sin(G)=\frac{10.5}{17.5}=\frac{21}{35}[/tex] where [tex]m\angle G=36.87^\circ[/tex]
what’s the slope and y - intercept of this equation ?
Answer:
y-intercept is -10 and slope is 4
Step-by-step explanation:
in y= 4x-10 the slope is 4 because in the formula y=mx+b, m is the slope and the y-intercept is -10 because also in the formula y=mx+b, b is the y-intercept
for simplifying what’s
1.(x + 2)(x +7)
2.(m - 5)(m - 2)
3.(2x+3)(x+1)
4.(5x +3)(x - 2)
5.(4m + 1)^2
6.(y - 8)(y + 8)
7.(x + 5)(x^2 + 4x -8)
8.(4x-1)(x^2 - 7x +1)
9.(3x + 2)(5x^2 - 12x - 2)
Answer:
Use the site math--way but in one word lol it should help
Step-by-step explanation:
2x-3y=9
-5x-3y=30
Elimination Please Help!!
answer the question givin
Answer:$3.50
Step-by-step explanation:find how much an individual lesson costs. 480/20=24 and 412.50/15=27.5 difference in price is equal to 3.5
evaluate 8+w/4 when w=14
Answer:
11.5 is the answer
Step-by-step explanation:
8+ 14/4 = 8 + 7/2 = 8+3.5 = 11.5
The conditional relative frequency table was generated using data that compared a student’s grade level and whether or not they are involved in after-school activities. A 4-column table with 3 rows. The first column has no label with entries 10th grade, 11th grade, total. The second column is labeled after-school activities with entries 0. 43, 0. 55, 0. 49. The third column is labeled no after-school activities with entries 0. 57, 0. 45, 0. 51. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Given that a student is in 10th grade, what is the probability that the student is also not involved in after-school activities? 0. 43 0. 45 0. 55 0. 57.
The probability of the 10th-grade student is also not involved in after-school activities is 0.57.
ProbabilityProbability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
StatisticsStatistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, summarise the data.
Given
A 4-column table with 3 rows.
How to find the table and the probability?Activity No Activity Total with entries
10th 0.43 0.57 1
11th 0.55 0.45 1
Total 0.49 0.41 1
Thus, the probability of the 10th-grade student is also not involved in after-school activities is 0.57.
More about the probability link is given below.
https://brainly.com/question/795909
what is the geometric mean of 8 and 4
Answer:
6
Step-by-step explanation:
Finding the mean: adding numbers and dividing by amount of numbers.
8 + 4 = 12
12/2 = 6
It is 4
:)
hope you are safe
Step-by-step explanation:
