The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.
Answer 48
Step-by-step explanation:
The two-digit number that satisfies the given condition will be 48.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
Suppose the two-digit number is xy.
Sum x + y = 12
By multiplying by 3,
3(10x + y) = 144
10x + y = 48
Put y = 12 - x
10x + 12 - x = 48
9x = 36
x = 4
And, y = 12 - 4 = 8 so the number will be 48.
Hence "The two-digit number that satisfies the given condition will be 48".
To learn more about digits,
https://brainly.com/question/10913044
#SPJ2
What is the value of y?
y-5 1/2 = 3 1/3
Step-by-step explanation:
Y - 5 1/2 = 3 1/3
Y = 3 1/3 + 5 1/2
Y = 8.83
Find 110% of 80 by writing the percent as a fraction
Answer:
[tex]\frac{80}{100}[/tex] i think its 80 or 88
Step-by-step explanation:
so sorry if this is wrong
Answer:
88
Step-by-step explanation:
x / 80 = 110 / 100
Cross multiply
80 * 110 = 100x
8800 = 100x
Divide both sides by 100
88 = x
Solve for B: 19 (less than or equal too sign) B + 17
Find the area of this semi-circle with diameter,
d
= 60cm.
Give your answer rounded to 2 DP.
Answer:
3.14*15^2=706.5
706.5/2=353.25
Hope This Helps!!!
The area of the semi-circle with a diameter of 60 cm is approximately 1413 square centimeters.
What is the area of the semi-circle?A semicircle is formed by simply dividing a circle into exactly two halves.
Hence, the area of a semi-circle is half the area of a circle.
Area of semi-circle = 1/2 × πr²
Given the parameters:
Diameter d = 60 cm
Radius r = diameter/2 = 60/2 = 30 cm
Area =?
To determine the area of the semi-circle, plug the value of the radius into the above formula and simplify:
Area of semi-circle = 1/2 × πr²
Area of semi-circle = 1/2 × 3.14 × 30²
Area of semi-circle = 1/2 × 3.14 × 900
Area of semi-circle = 3.14 × 450
Area of semi-circle = 1413 cm²
The area is approximately 1413 square centimeters.
Learn more about the area of semi-circle here: https://brainly.com/question/464269
#SPJ2
Which type of laboratory is not required to have coved floors (where the floor runs continuous for the wall for a few inches)
The type of laboratory that is not required to have coved floors is a BSL2.
Safety in laboratories is measured through the Biosafety Level scale. This scale evaluates how much protection do people working in the laboratory need to avoid any risks while working with pathogens or toxins.
This scale goes from 1 to 4 and the 4 level represents labs in which extremely dangerous pathogens are studied, and therefore labs with the highest safety protocols.
In this context, coved floors are not required for labs classified in Biosafety level 2 because in these labs pathogens have only a moderate risk, therefore some precautions such as the coved floors are not required.
Learn more about labs in: https://brainly.com/question/14428286
if laura has a school loan of $420,a car loan of $300 and rent of $550,what must she budget just to pay those expenses?
Answer:
1270
Step-by-step explanation:
420+300+550
$420+300=720+550=1270
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
please write an inequality
also please solve for p <3
Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
it will be 1974
Step-by-step explanation:
2100*6/100
=126
Answer:
1997.08 pounds at the beginning of 6 years.
Step-by-step explanation:
If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.
1st year - 2100*.01 = 21
2100-21 = 2079
2nd year - 2079*.01 = 20.79
2079 - 20.79 = 2058.21
3rd year - 2058.21*.01 = 20.58
2058.21-20.58 = 2037.63
4th year - 2037.63*.01 = 20.38
2037.63-20.38 = 2017.25
5th year - 2017.25*.01 = 20.17
2017.25 - 20.17 = 1997.08
6th year - at the beginning of the 6th year, it would be worth 1997.08.
At the end of the 6th year, it would be: 1997.08*.01 = 19.97. 1997.08-19.97 = 1977.11
please help will give brainliest
Answer:
Look at the pictures (they are color coded)
red is 1st
blue is 2nd
green is 3rd
black is 4th
a box of snacks contained 20 individual packages. the newly designed box contains 28 individual packages by what percent did the individual packages increase
Answer:
40%
Step-by-step explanation:
increased amount = 28 - 20 = 8
to get the percentage we have to divide the increased amount by original amount which will be 8/20 = 0.4
0.4 is 40%
The percentage increase is given as:
= [ (Final value - Initial value) / Initial value] x 100
The percentage increase in the number of individual packages is 40%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of initial individuals packages = 20
Number of final individuals packages = 28
The percentage increase is given as:
= [ (Final value - Initial value) / Initial value] x 100
The percentage increase in the number of individual packages:
= [(28 - 20) / 20] x 100
= (8/20) x 100
= 40%
We can cross-check:
100% = 20 packages
140% = 140/100 x 20 packages
140% = 28 packages.
Thus,
The percentage increase in the number of individual packages is 40%
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?
ANSWER SOON
Divide the amount of savings by the percentage off:
12/0.30 = 40
The regular price was $40
Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4
The system of equations that can be used to determine the number of nickels and dimes is:
x + y = 468
0.05x + 0.01y = 34.40
Where:
x = number of nickels
y = number of dimes
The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.
For more information, please check: https://brainly.com/question/25802822
if one rents a car from Airport Rent-a-Car, the charge is $79 plus 7 cents a kilometer. Savings Rent-A-Car charges $59 plus 9 cents a kilometer. If one will drive d kilometers, when is it cheaper to use Savings Rent-A-Car?
It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:
79 + 0.07 x 30 = 79 + 2.1 = 81.1 59 + 0.09 x 30 = 59 + 2.7 = 61.7 79 + 0.07 x 300 = 100 59 + 0.09 x 300 = 86 79 + 0.07 x 600 = 121 59 + 0.09 x 600 = 113 79 + 0.07 x 900 = 142 59 + 0.09 x 900 = 140 79 + 0.07 x 1000 = 149 59 + 0.09 x 1000 = 149
Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.
Learn more about maths in https://brainly.com/question/26027910
If the radius of a circle is ‘r’ units, which of the following is its circumference? *
Answer:
2πrExplanation:
The area of the unit circle is π (in general πr2 where r is the radius).
What number multiplied by 3/10 is equal 2/3?
Answer: 20/9
Step-by-step explanation:
What is the value of the expression shown below, when p= 1 and q= 4
Answer:
The correct answer is 5.
Step-by-step explanation:
I got 100% on the assignment
Quick! I need an answer now! Please!
Linear or nonlinear:
y=x y=x/2 - 3 3x + y =12 y= 6/x - 2 y=3x^3+5
this equation is a non linear equation
I need help with this
Answer:
512
Step-by-step explanation:
64 × 8 = 512
512
64 8
16 4 2
8 2 2 1
Simplify this question
[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]
[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]
[tex]\\ \sf\longmapsto 8+9i+1[/tex]
[tex]\\ \sf\longmapsto 9i+9[/tex]
7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment
A rhombus can have the same shape and dimension as a square or a
parallelogram, therefore, all rhombuses are not similar.
A step in the proof that have flaws is step 3.Reasons:
By reading through the given steps, we have, the first step that is incorrect
is step 3.
Step 3: The requirement for the similarity of two figures based on the
proportionality of the corresponding sides of the figures is related with
triangles as given by the triangle proportionality theorem.
This is so because, the lengths of the sides of a triangle depends on the
opposite interior angle, while the side of a rhombus can have a
combination of large length and and acute angle.
Two rhombuses that have proportional sides may be dissimilar,
because they can have different interior angles.
Therefore;
The step in Tyler's proof that have a flaw is Step 3
Learn more about similarity between geometric figures here:
https://brainly.com/question/10270676
Solve for all values of y in simplest form.
|4 - 5y| = 16
Answer:
[tex]y=-\frac{12}{5}[/tex]
I think this is the correct answer
Triangle A has a 50 degree angle and a 25 degree angle. Triangle B has a 50 degree angle and a 105 degree angle. Are the two triangles similar?
Please quickly answer number 17&18 I will give brainliest
Answer: 17) 150°C 18) 17 minutes
Step-by-step explanation:
x represents time in minutes and y represents temperature in Celsius
17) y=10x+30
y=10(12)+30
y=120+30
y=150 - Therefore, the water temperature will be 150°C after 12 minutes
18) 200=10x+30
10x+30=200
10x+30-30=200-30
10x=170
x=17 - Therefore, the water temperature will reach 200°C after 17 minutes
7. Use graph paper to graph each linear function:
f(x) = 4x - 7
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
PLEASE HELP ASAP GOD BLESS YOU If YOU HELP ME IT WILL RAISE MY GRADE
Answer:
Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways
Step-by-step explanation:
Evaluate the numerical expression 24
Enter your answer in the grid below.
Answer:
what grid below
Step-by-step explanation:
Answer:
what grid below
Step-by-step explanation:
At a football game.120 tickets were solf and the concession stand sales were 600. The next week. 150 tickets were sold and the concession stand cells were $750. write a linear equation to represent this situation. How much would u expect the stand ti make if only 90 tickets sold
Answer:
450$
Step-by-step explanation:
Write a general rule for finding the sign in a multiplication or division problem with more than two integers
NEED HELP NOW PLEASE
Answer:
-33.24 degrees F, -33.625 degrees F, -33.833 degrees F