The sum of the digits of a positive 2-digit number is 12. The units digit is 3 times the tens digit. Find the number
Answers
Answer:
44
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:
x + y = 12
x - y^2 = 0
Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.
x + y = 12
-x + y^2 = 0
By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.
y = (-B +/- sqrt(B^2–4AC))/2A
This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.
Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.
As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.
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A polygon undergoes a combined transformation of T3, 2) (Ro, 90'). The vertex (5. 2) of the polygon maps to what final image?
O (-4,8)
O (-2,5)
(1,7)
O (5,-3)
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Answer:
Do you have the picture of the assignment?
What is 5x83 mentally using distributive property
Answers
Answer:
415
Step-by-step explanation:
i’ll give you all my points that i have and rate you good if you answer these three questions before 3:00pm est. if f(x)=8-5x, find each value. one is f(4c), the second question is f(2-k), and the third is f(4p+3)
Answers
4c=8-5(4c)
2-k=8-5(2-k)
4p+3=8-5(4p+3)
In the first one you distribute the -5
4c=8-20c
Then add 20c to both sides
24c=8
And divide by 24
C=8/24 or 1/3
Distributing the -5 on the second one gets you
2-k=8-10+5k
Then you combine like terms
2-k=-2+5k
Subtract 5k from both sides
2-6k=-2
Subtract 2 from both sides
-6k=-4
Divide by -6
K=4/6 or 2/3
and lastly the equation is 4p+3=8-5(4p+3)
So you distribute -5
4p+3=8-20p-15
Combine like terms
4p+3=-20p-7
Add 20p to both sides
24p+3=-7
Subtract 3 from both sides
24p=-10
And then divide by 24
P= -10/24 or -5/12
A rectangles coordinates (RECT) are located on a coordinate plane. The coordinates for R, E, and C are: (0, 4), (5, 4), and (5,0). What is the area of the rectangle RECT?
Answers
For the following right triangle, find the side length x.
Answers
Answer:
x = 17
Step-by-step explanation:
Since its a right triangle, you can use Pythagorean Theorem.
8² + 15² = x² (Given)
64 + 225 = x² (Simplify)
289 = x² (Add like terms)
17 = x (Square root both sides)
Match the following equation to the correct situation.
s − s(21%) = s(79%)
A.
the price for a shirt that originally cost s after a 21% discount
B.
the amount that Anis owes on his car was 21% of s
C.
the amount that Katie paid for a pair of jeans with 21% tax on s
D.
the amount Doug gave to the local heart association was 21% of s
Answers
Answer: A. the price for a shirt that originally cost s after a 21% discount
Step-by-step explanation:
Please help me I am stuck
Answers
Answer:
Brand C
Step-by-step explanation:
hiii please help asap ill give brainliest if you give a correct answer tyyyyy
Answers
Answer:
25?
Step-by-step explanation:
sorry if im wrong
i need help
with this
Answers
Answer:
Step-by-step explanation:
x=√3, y= 3
Which of these equations is in slope intercept form?
O 2x + 4y = 24
O y-6 = -1/2(x-0)
O y=-1/2x+6
Y1-Y2/X1-X2
Answers
Answer:
[tex]y = \frac{1}{2} x + 6[/tex]
Step-by-step explanation:
Remmeber that the slope-intercept form is:
[tex]y = mx + b[/tex]
Please help desperate due today will give brainlist...
Answers
9514 1404 393
Answer:
5 forks2 spoonsStep-by-step explanation:
The higher-cost item is forks, so we can let x represent the number of those that are purchased. The total number purchased is 7, so the number of spoons purchased is (7-x).
The total cost is the sum of the costs for each of the items:
6x +5(7-x) = 40
x +35 = 40 . . . . . . simplify
x = 5 . . . . . . . . . . . subtract 35; the number of forks
7-x = 2 . . . . . . . . . the number of spoons
Daniel bought 5 forks and 2 spoons.
_____
Additional comment
Since $40 is not divisible by $6, we can guess that the number of forks Daniel bought will be a multiple of 5. That is, Daniel bought 0 or 5 forks. If he bought 0 forks, then he must have bought 40/5 = 8 spoons, so that is not a viable choice. The only number of forks that makes sense in this problem is 5 forks, so 2 spoons--numbers that total 7, as required.
The expression 2.4x−3.9y−1.2x+ay is equivalent to 1.2x+1.2y.
What is the value of a?
Enter your answer as a decimal, like this: 42.5
Answers
Answer:
a=5.1
Step-by-step explanation:
Isolate the variable by dividing each side by the factors that don't contain the variable. Hope this helps! :)
The value of a, if The expression 2.4x − 3.9y − 1.2x + ay is equivalent to 1.2x + 1.2 y is 5.1.
What is an expression?A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
2.4x−3.9y−1.2x+ay is equivalent to 1.2x+1.2y,
2.4x − 3.9y − 1.2x + ay = 1.2x + 1.2y
Simplify the above expression as shown below,
2.4x − 1.2x + ay - 3.9y = 1.2x + 1.2y
1.2x + y(a - 3.9) = 1.2x + 1.2y
As the expression is equivalent, compare the expression as shown below,
a - 3.9 = 1.2
a = 1.2 + 3.9
a = 5.1
Thus, the value of a is 5.1.
To know more about the expression:
https://brainly.com/question/13947055
#SPJ2
Which functions are increasing?
Select all answers that are correct.
Answers
Answer:
Step-by-step explanation:
6 quarts =
gallons
Please i meed help answer fast
Answers
Answer:
1 2/4 or 1.5
Explanation:
There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D
Hope this helped!
X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.
Answers
Answer:
The distance between X and Z is approximately 114.9 km
Step-by-step explanation:
The given parameters are;
The distance of Y from X = 75 km
The bearing of Y from X = 200°
The bearing of Z from Y = 150°
The bearing of Z from X = 180°
In triangle XYZ, we have;
∠YZX = 180° - (130° + 20°) = 30°
By sine rule, we have;
(75 km)/sin(30°) = XZ/(sin(130°))
XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km
The distance between X and Z ≈ 114.9 km. to one decimal place.
4 of 6
© As an estimation we are told £3 is €4.
Convert €44.80 to pounds.
Give your answer rounded to 2 DP.
What is the answer
Answers
Answer- 44.60
Step-by-step explanation:
Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9
Answers
Answer:
your lucky you did have a online lessons earlll
Step-by-step explanation:
The following are the temperatures in °C for the first 14 days of January:
-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5
Answer:
x = -5 & x = -2
Step-by-step explanation:
x^2 + 7x +10 = 0 you takeaway 9 as quadratic equations have to equal 0
(x+5)(x+2) = 0 you find 2 numbers that go into 10 that add to make 7 and multiply to make 10
(x+5) = 0 so x =-5 & (x+2) = 0 so x =-2
Carlos rode the elevator up 4 floors, then down 2 floors. He then rode down 5 more floors and got off on the first floor. Where was Carlos when he began his elevator ride?
Answers
Answer:
fourth floor
Step-by-step explanation:
A powerful computer is purchased for $2500, but loses 18% of its value each year. How much will it be
worth 4 years from now?
Answers
Answer:
$1130.30
Step-by-step explanation:
Step one:
given data
cost of computer= $2500
rate of loss per year= 18%
time t= 4 years
Step two:
let us computer the loss per year
Year 1 loss
worth= 2500- 2500*0.18
worth= 2500-450
worth= $2050
Year 2 loss
worth= 2050- 2050*0.18
worth= 2050-369
worth= $1681
Year 3 loss
worth= 1681- 1681*0.18
worth= 1681-302.58
worth= $1378.42
Year 4 loss
worth= 1378.42- 1378.42*0.18
worth= 1378.42-248.1156
worth= $1130.30
which is an equation of the line through (-1 -4) and parallel to the line 3x+y=5
Answers
Answer:
y=-3x-7
Step-by-step explanation:
y=-3x+5
-3 stays the same
y=-3x+c
input values
-4=3+c
c=-7
y=-3x-7
Equivalate a +4 when a=7
Answers
Answer:
11
Step-by-step explanation:
Plug in the variable into the equation. 7+4=11
Answer:
11
Step-by-step explanation:
a is 7 so 7 + 4 = 11
this should be the answer if not i dont know. sorry
Please help me I need it it is my last question
Answers
Answer:
C
Step-by-step explanation:
Answer:
The best deal is c. 5 pints of oil for $8
Step-by-step explanation:
−9,000÷3=−3,000 What does -3,000 tell me
Answers
Answer:
Step-by-step explanation:
SEARCH IT UP!!!!!!!
combine these like terms 4 girls + 2 girls - 3 boys
Answers
Answer:
6 girls - 3 boys
Step-by-step explanation:
Answer:
6girls - 3 boys
Step-by-step explanation:
4 girls + 2 girls =6 girls
you cant mix girls and boys so you still have 3 boys
A bically orginally priced at 225 was marked down 30 % after a week, the bicycle was marked down another 15% off the sale price what are the sale prices of the bike after each discount
Answers
Answer:
Kapdweswq DAWFDGEADAEF DAC E FEWAFWED EW DCQFFF
Step-by-step explanation:
Sfweqrwrrf wqwf q fewqfwqefw f wqfqwefqw
Answer:
45% or -45% decrease
Step-by-step explanation:
Suppose a normal distribution has a mean of 34 and a standard de ration of 2. What is the probability that a data value is between 30 and 362 Pound your answer to the nearest tenth of a percent. A. 82.9% B. 83.9% C. 81.9% D. 84.9%
Answers
Answer:
so my name is cene and i have that question and its b
Step-by-step explanation:
Answer: 81.9
Step-by-step explanation:
Just took the quiz
Help me please!!!!!!!!
Answers
Answer:
x = 1.8
Step-by-step explanation:
Given
2.5(10x - 16) = 5 ( divide both sides by 2.5 )
10x - 16 = 2 ( add 16 to both sides )
10x = 18 ( divide both sides by 10 )
x = 1.8
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answers
Answer:
A
Step-by-step explanation:
Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values
[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20(15 + x) = 420 ( divide both sides by 20 )
15 + x = 21 ( subtract 15 from both sides )
x = 6
This is due today, please help!!! I will give brainliest.
Answers
Answer:
Step 1, all the exponents are increased by 4
Step-by-step explanation:
The first incorrect step occurred in Step 1, where all the exponents were increased by 4.
This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.
For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.
We multiply the exponents instead of adding them together.
Therefore, the correct Step 1 should multiply all the variables' exponents by 4.
Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.
The school is landscaping an area for a soccer field. If the
dimensions are 60 feet by 35 feet. What is the area of the soccer
field?
Answers
Answer: 2100 square feet
Step-by-step explanation: 60 x 35=2100
Answer:
2100 ft squared!
Step-by-step explanation:
The formula to find the area of a rectangle is L * W = A
Where A is the total area, and L and W are the dimensions.
Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A
Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!
