Answer:
the first number equals 6
the second number equals 10
Step-by-step explanation:
3×n1 + 5×n2 = 68
3×n2 - 4×n1 = 6
3×6 + 5×10= 68
\/ \/
18 + 50= 68
3×10 - 4×6 = 6
\/ \/
30 - 24 = 6
hope this helped :)
Hurry please!!!!!
Andrea wrote a check for $270. She also made two withdrawals of $80
each. Write the total change to her account balance as an integer.
Answer:
110$ left in her bank account
Step-by-step explanation:
first you do 80×2=160 then you would do 270-160=110 sorry if this is not the right answer but I did try to help you!
A "triply" number is a two digit number equal to three times the product of its digits. List all the triply numbers.
Answer: ONLY 15, and 24 there are not more 2 digit triply numbers i have checked all the 2 digits numbers ranging from 10 to 99
Yes there are only 2 triply numbers! Isnt it shocking! I have tried for 2 digit triply numbers from 10 to 99! Yes i did that! Lets go through a basic idea first the product of its digits mean that you mulitply whatever number your checking for a triply number. Example: your checking 15 for a triply number so 1 x 5 = 5 ( you multiply the digits in the 2 digit number to find the product of its digit)! What does 3 times the product of its digits then? hmmmmm. we know that 15's product of its digit is 5 so we mulitiply 5 x 3 because it says three times the product of its digits.
Step-by-step explanation:
15 = 1 x 5 = 5 (we do 1 x 5 because we need to find the product of its digits and to do that we multiply the digits together in the 2 digit number).
5 x 3 = 15 (we multiplied 15 x 3 because it says 3 times the product of its digits. we know the product is 5 and 3 times is multiply by 3 so we do 5 x 3 which equals to 15).
So 15 is a triply number because in the second step when we multiplied 5 x 3 we got 15; and we were checking if 15 was a triply number; because we got 15 as the answer in the second step it is a triply number).
24 = 2 x 4 = 8
8 x 3 = 24
so we got 24 as the answer again in the second step which means that 24 is a triply number.
In short, you multiply the digits in the number then whatever you get as the answer you multiply it by 3. if you get the digits from te number that you multiplied then you know that number is a triply number. from the number 10 to 99 there are ONLY 2 NUMBERS. I saw people only give 2 numbers online and i was like why does no one give all the triply but in reality there are only 2 triply numbers which are 2 digits. You can check for yourself if you dont believe me using the method above. Thank you! I hope it helped if it helped please give me a thumbs up!
We will find that the "triply" numbers are:
-15, 15, -24, 24.
How to find the "triply" numbers?We know that these aer two-digit numbers, so we can write them as:
a*10 + b
Where a and b are single-digit numbers.
A "triply" number is equal to 3 times the product of its digits, then we must have:
a*10 + b = 3*(a*b)
Moving all to one side, we have:
10a + b + 3ab = 0
So a "triply" number must meet the above criteria.
Now, the values that can take b are all the single-digit values {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
So now we need to evaluate b and find the possible vales of a.
if b = 0, then:
10*a + 0 - 3*a*0 = 0
10*a = 0
Then a = 0, but this will not give a 2-digit number.
if b = 1 then:
10*a + 1 - 3*a*1 = 0
10*a - 3a = -1
7*a = -1
a = -1/7
This is not a single-digit number.
if b = 2
10*a + 2 - 3*2*a = 0
4*a = -2
a = -2/4
This is not a single-digit number.
if b = 3
10*a + 3 - 3*3*a = 0
a = -3
a should be positive.
if b = 4 we have:
10a + 4 - 12a = 0
-2a = -4
a = -4/-2 = 2
So this gives the number 24.
if b = 5 we have
10a + 5 - 15a = 0
-5a = -5
a = -5/-5 = 1
So this gives the number 15
if b = 6
10a + 6 - 18a = 0
-8a = -6
a = -6/-8
This is not a single-digit.
if b = 7
10a + 7 -21a = 0
-11a = -7
a = -7/-11
At this point we can see that for larger values of a, we will not get more tripply numbers.
So the only "triply" numbers are: 15 and 24 (and their opposites, -15 and -24).
If you want to learn more about evaluating equations, you can read:
https://brainly.com/question/4344214
Henrietta decided to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days, she learns exactly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Henrietta plan to learn each day?
Answer:
32
Step-by-step explanation:
Which is the value of x in the equation?
4(x−3)=40
A. 13
B. 14
C. 15
D. 16
Answer:
x=13
Step-by-step explanation:
4(x-3)=40
x-3=40/4
x-3=10
x=10+3
x=13
HOPE THIS HELPS YOU
A fitness instructor purchases exercise bikes and treadmills for two gyms. For the first gym, 2 exercise bikes and 3 treadmills cost $2200. For the second gym, 3 exercise bikes and 4 treadmills cost $3000. How much does a treadmill cost?
The cost is 600$ for each treadmill and 200 for each bike.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, we have,
2 exercise bikes and 3 treadmills cost $2200.
3 exercise bikes and 4 treadmills cost $3000.
solving, we get,
6b+9t=6600
6b+8t=6000
i.e. t=600
Hence, the cost is 600$ for each treadmill and 200 for each bike.
To learn more on multiplication click:
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Rita drew a scale drawing of a picnic area near the river. The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing. What scale did Rita use for the drawing?
Answer: 1 inch = 9 yards
Step-by-step explanation:
From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.
From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:
1 inch = 9 yards
Pls help me with this text thing i need the answers :O PLS I NEED IT NOW HELP
Answer:
1. d.9
2.
3.
Step-by-step explanation:
that is the only one I know sorry
Identify the functions that have the given property.
The domain is all real numbers for
.
An x-intercept is (pie,0) for
.
The minimum value is –1 for
.
An x-intercept is (pie/2,0) for
.
Answer:
1. both
2. sine
3. both
4. cosine
Step-by-step explanation:
correct on edge
Answer:
1. Both
2. Sine
3. Both
4. Cosine
Step-by-step explanation:
right on edge
A triangle has vertices on the coordinate grid at points D (3, -3), E (0,2), and F (-1,-3)
Answer:
4 units
Step-by-step explanation:
A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?
A triangle is a polygon with three sides and three angles.
The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:
[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]
find lowest common factor multiply of 12 and 36
Answer:
12
Step-by-step explanation:
Use the long division method to find the result when 12x^3+17x^2+12x+4 is divided by 3x + 2.
Answer:
Step-by-step explanation:
not sur
e
Answer: 307 ÷ 24 = 209 ÷ 32 = 456
Step-by-step explanation:
1
Carlos starts work at 21 20 and finishes at 06 15 the next day.
Calculate how long Carlos is at work.
Answer:
he's at work for 9 hours 55minutes
Carlos works for 8 hours and 55 minutes.
Given that, Carlos starts work at 21:20 and finishes at 06:15 the next day.
How to read 24 hours clock?A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.
The 24-hour clock is more often shown on digital clocks and is written in a 4-digit form, with the first two digits representing the hour and the last two representing the minutes.
From 21:20 to 06:15 there are 8 hours and 55 minutes.
Therefore, Carlos works for 8 hours and 55 minutes.
To learn more about the clock visit:
https://brainly.com/question/27122093.
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Lin is planting a circular garden of tulips. She plans to plant four different colors in equal amounts. The garden will have a diameter of 24 feet.
Answer:
113 square feet
Step-by-step explanation:
Given
[tex]d = 24[/tex] --- diameter
See attachment for complete question
Required
Determine the area of each color
First, we calculate the area of all colors
[tex]Area = \frac{\pi d^2}{4}[/tex]
This gives:
[tex]Area = \frac{22 * 24^2}{7*4}[/tex]
[tex]Area = \frac{12672}{28}[/tex]
[tex]Area = 452.57[/tex]
Since all 4 colors have equal areas, the area of 1 of them is:
[tex]A = \frac{1}{4}Area[/tex]
[tex]A = \frac{1}{4} * 452.57[/tex]
[tex]A = 113.14ft^2[/tex]
[tex]A = 113ft^2[/tex] --- approximated
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex] \sqrt{193} [/tex]
Step-by-step explanation:
Given,
Height of the triangle = 7
Base of the triangle = 12
Hypotenuse of the triangle = x
Therefore, According to Pythagoras Theorem,
[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]
[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]
[tex] = > {x}^{2} = 144 + 49[/tex]
[tex] = > {x}^{2} = 193[/tex]
[tex] = > x = \sqrt{193} (ans)[/tex]
Which of the following numbers are less than-0.625. The numbers are -8/5 -5/8 -0.5 choose all that apply
Answer:
-8/5 = -1.6
-5/8 = -0.625
-1/2 = --0.5
Step-by-step explanation:
The number that is less then -0.625 is -8/5 which is -1.6
A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of
those seats. What is the probability that the next person will be assigned to an aisle
seat?
Answer:
2/5
Step-by-step explanation:
There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.
Which of the following numbers lies between 0.3 and 0.4 ?
Answer:
0.39
Step-by-step explanation:
Label Each triangle.
Answer:
1.) isosceles
2.) equilateral
3.) obtuse
4.) right
You deposit 500 in a savings account that earns 9% annual interest compounded monthly. Enter a function that represents the balance y (in dollars) after t years
Answer: y = 500 * ( 1 + 0.75%) ^ (t * 12)
Step-by-step explanation:
Formula for calculating the amount of money in an account as a result of compound interest is:
Balance = Amount * ( 1 + rate) ^ no. of periods
This interest is compounded monthly so has to be converted to a monthly rate:
= 9% / 12
= 0.75%
t is in years so has to be converted as well to months:
= t * 12 months
Function is therefore:
y = 500 * ( 1 + 0.75%) ^ (t * 12)
Harry wants to download some songs to his mp3 player. He received a $20 giftcard for his birthday. It costs $0.90 to download a song. At most, how many songs can he download?
Step-by-step explanation:
vvvvvec7oecyoeciiiv7oric7oriivsbshshshshshshsJ
how many toes do i have? giving brainiest if right!
22 x² y–55xy² in factorization
Answer:
[tex]22x^{2} y - 55xy^{2} = 11xy*(2x-5y)[/tex]
I need help simplifying this equation.
Answer:
6abc
Step-by-step explanation:
In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:
3 * b * 2 * ac
= 3 * 2 * b * ac
= 6abc
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
Answer:
20.0 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{ {(y1 - y2)}^{2} + {(x1 - x2)}^{2} }}[/tex]
Distance between (5, 9) and (-7, -7)
[tex] = \sqrt{( - 7 - 9)^{2} + ( - 7 - 5)^{2} } [/tex]
[tex] = \sqrt{( - 16)^{2} + ( - 12)^{2} } [/tex]
[tex] = \sqrt{256 + 144} [/tex]
[tex] = \sqrt{400} [/tex]
= 20 units
Which of the following equations have only one solution? Select all correct answers.
x²-x-6=0
5 x2 + 20 x+ 20 = 0
9x2 - 25 = 0
4x2+4 x=0
12+ 6 x+9= 0
Answer:
The equations which have only one solution is: 5x²+20x+20=0,
Step-by-step explanation:
Answer:
5x^2 + 20x + 20 = 0
12+ 6x +9= 0
Step-by-step explanation:
5x^2 + 20x + 20 = 0 /5 12 + 6x + 9 = 0
x^2 + 4x + 4 = 0 6x = -9-12
(x+2)^2=0 6x = -21
x + 2 = 0 x = -21/6
x=-2 x = -3.5
A bicycle ramp used for competitions is a
triangular prism. The volume of the ramp
is 313.2 cubic feet. Write and solve an
equation to find the width of the ramp.
Possible student work:
V=Bh
13.4ft
Answer:
8.7 feets
Step-by-step explanation:
As obtained frommthe diagram attached :
Base, b of triangle = 6 feets
Height of triangle, h = 12 feets
Volume of a Triangular Prism is obtained using the relation :
Base Area * Width
Base area of prism :
0.5 * base * height
0.5 * 6 * 12 = 36ft²
Width, w of the ramp =x
Volume, V = 313.2 ft³
V = base area * width
313.2 = 36 * x
313.2 = 36x
x = 313.2 / 36
x = 8.7 feets
Lemons cost $5.40 per kilogram.
Leyla buys 0.35 kg of lemons.
Calculate how much Leyla's lemons will cost.
DESIGN Asſa general rule, the number of parking spaces in a parking lot for a movie theater complex varies directly with the number of
theaters in the complex. A typical complex has 30 parking spaces for each theater. A developer wants to build a new cinema complex on a lot
that has enough space for 210 parking spaces. Write the direct variation equation for the number of parking spaces y for x theaters
Answer:
it ia a because i did that on edginuity
What is the range of a function and how do you solve for it?
Which of the following expressions is equivalent to: -5.4 – 11.1 + 30 – 12.6 – 4.2.
answer please
Answer:
-3.3
Hope this helps :D