Answer:
39
Step-by-step explanation:
let the 2 digit number be ab = 10a + b ( considering place value )
The reversed 2 digit number is ba = 10b + a
The sum of the 2 digit number is
a + b = 12 ( subtract b from both sides )
a = 12 - b → (1)
Expressing as an equation
ba = ab + 54 , that is
10b + a = 10a + b + 54
Substitute a = 12 - b into the equation
10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides
9b + 12 = 120 - 10b + b + 54
9b + 12 = - 9b + 174 ( add 9b to both sides )
18b + 12 = 174 ( subtract 12 from both sides )
18b = 162 ( divide both sides by 18 )
b = 9
Substitute b = 9 into (1)
a = 12 - 9 = 3
Thus
the original 2 digit number = ab = 39
The reversed 2 digit number = ba = 93
which is 54 more than the original number
• Which ratios have a unit rate of 5? Choose ALL that apply.
Answer:
6 1/4 and 1 1/4
1 and 1/5
Step-by-step explanation:
These are the only ones I think
[tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes and 1 kilometer: 1/5 minutes has unit rate as 5.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The given, ratios are:
4/5 km : 5 minutes
[tex]3\frac{1}{10}[/tex] km: 3/10 minutes
1 kilometer: 1/5 minutes
1/3 kilometer: [tex]1\frac{2}{3}[/tex] minutes
[tex]4\frac{1}{2}[/tex] kilometer: 2 minutes
[tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes
We need to check which ratios have 5 as unit rate.
[tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes has unit rate as 5
25/4/5/4
5
1 kilometer: 1/5 minutes
5
Hence, [tex]6\frac{1}{4}[/tex] kilometer: [tex]1\frac{1}{4}[/tex] minutes and 1 kilometer: 1/5 minutes has unit rate as 5.
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All I know is that the answer is F. How do I get to the answer F?
Answer:
8 inches on each side
Step-by-step explanation:
Do the ratios 16 18 and 1 2 form a proportion?
Answer:
no they don't form a proportion
Step-by-step explanation:
16:18/2:2 = 8:9
8:9 and 1:2 are unequal
Need help in math ASAP
Answer:
B
Supplementary means they add to make 180 deg, so solve (4x-8)+(2x+2)=180
Answer:
angle a + angle b=180
4x-8+(2x+2)=180
6x-6=180
6x=180+6
x=186/6
{x=31°}
If IN=2x+10 and AT=26, find x.
A.) 12
B.) 10
C.) 6
D.) 8
Answer:
Step-by-step explanation:
2x +10 = 26
2x = 16
x = 8
answer is d
Answer:
8
Step-by-step explanation:
Since these two triangles are congruent, IN is equal to AT. Solve the following equation:
2x + 10 = 26
2x = 16
x = 8
Helpppppp plzzz nowwww
Answer: side AB is 5.7 units
Step-by-step explanation:
If you look at the congruence marks on the angles, you can see that side AB and side KL correspond. Since we know KL is 5.7, AB must be 5.7 as well. :)
Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)
Answer:
[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles
Step-by-step explanation:
Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and
[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.
So,
[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]
This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]
As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]
[tex]\frac{l}{r}=\frac{L}{R}[/tex]
As radius of one circle is twice the radius of the other circle,
[tex]R=2r[/tex]
[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]
In Triangle DEF, f = 160 cm, d = 670 cm and ZE=114°. Find the length of e, to the nearest
centimeter.
Answer:
This is an obtuse scalene triangle with the length of E measuring around 749 cm.
<D = 54.754° ≈ 55°
<E = 114°
<F = 11.246° ≈ 11°
Side D = 670 cm
Side E = 749.46937 cm ≈ 749 cm
Side F = 160 cm
Explanation:
When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.
Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.
a / Sin (A) = b / Sin (B) = c / Sin (C)
[side 1]. [side 2]. [side 3].
↓ ↓ ↓
sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)
______________________________
670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).
Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.
It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc
B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac
and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab
capital A, B, and C are angles A, B, and C.
lowercase a, b, and c are sides a, b, and c.
Therefore c² = a² + b² − 2ab cos(C),
b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.
SOH CAH TOA.
Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.
Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749
Answer:749
Step-by-step explanation:
S.A.S law or Cosines
e=561704.33628= 749.469= 749
HELP WILL GIVE BRAINLYEST
Answer:
Answer is D. 2 & -2
Answer:D
I THINK
Step-by-step explanation:
Hopefully this is the right one
A study found that 8% of dog owners brush their dog's teeth. Of 25 dog owners, about how many would be expected to brush their dog's teeth? *
10 points
(1) 8
(2) 25
(3) 2
(4) 17
How to solve y=4x+2 and 2x+y=8 using substitution?
Answer:
X=1
Step-by-step explanation:
-36x - 24 ≤ -6(5x + 12)
Answer:
x ≥ 8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
-36x - 24 ≤ -6(5x + 12)
Step 2: Solve for x
Distribute -6: -36x - 24 ≤ -30x - 72Add 36 on both sides: -24 ≤ 6x - 72Add 72 on both sides: 48 ≤ 6xDivide both sides by 6: 8 ≤ xRewrite: x ≥ 8Here we see that any number x greater than or equal to 8 would work as a solution.
There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded. Dionte buys two tickets, find the probability that he will win both pris(Round your answers to five decimal places.)
Given :
There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.
Dionte buys two tickets.
To Find :
The probability that he will win both price.
Solution :
Number of prizes available, p = 2
Probability of getting price from first draw :
[tex]P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}[/tex]
Probability of getting price from second draw if he won first prize :
[tex]P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}[/tex]
So, probability of winning both prize :
[tex]P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159[/tex]
Therefore, probability of winning both prize is 0.00159 .
Hence, this is the required solution.
9. If mZP is three less than twice the measure of ZQ, and ZP and ZQ are supplementary
angles, find each angle measure.
Answer: ZQ=61, ZP=119
Step-by-step explanation: knowing that these angles are supplementary, you can set up an equation using x. Angle ZP is 2x-3, and angle ZQ is x. Together they add up to 180. So 2x-3+x=180. 183=3x. X=61.
Write (4,0) and (0,6) in standard form
Answer:
4x + 6y = 0
Step-by-step explanation:
Hope that helps pelase gve me brainliest
2. If mZ1 = 71 degrees, find the measure of the other 7 angles.
The measure of the other 7 angles are;
m∠2 = m∠3 = 109°; m∠4 = m∠5 = m∠8 = 71°; m∠6 = m∠7 = 109°
We are given;
m∠1 = 71°
Thus;
m∠1 and m∠2 are angles that form a straight line and as such they are supplementary angles and sum up to 180°
Thus; m∠1 + m∠2 = 180°
71 + m∠2 = 180°
m∠2 = 180 - 71
m∠2 = 109°
Now, m∠2 and m∠3 are alternate angles and as such;
m∠2 = m∠3
Thus; m∠3 = 109°
Similarly,
m∠1 and m∠4 are alternate angles and as such;
m∠1 = m∠4
Thus;
m∠4 = 71°
m∠1 and m∠5 are corresponding angles and as such;
m∠1 = m∠5
Thus;
m∠5 = 71°
m∠2 and m∠6 are corresponding angles and as such;
m∠2 = m∠6
Thus;
m∠6 = 109°
Similar to how angles were gotten earlier, we can say that;
m∠5 = m∠8 = 71°
and m∠6 = m∠7 = 109°
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Por un kilo y medio de merluza se ha pagado 21,30 €. A cuanto estaba el kilo?
Lo siento mucho, no hablo muy bien español ... ¡Ojalá pudiera! Sería mucho más útil de esa manera
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
Guys plz help me answer this!!!!
Answer:
p= 2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Rachel got 18 out of 30 correct on her science test. What percent did she get on her test?
Answer:
60% or D
Step-by-step explanation:
Divide 100 by 30
3.333333. . .
Multiply 18 by 3.333333. . .
The answer is 60%
Hope this helped :)
For an activity in class, student used pieces of string to measure road on a map. They used a map scale to determine the distance between two cities. One group measured the distance between Fort Myers and Miami on a Florida state map. The string distance was 7.75 inches, which represents a real-life distance of about 155 miles. Another group measured the distance between Tampa and Orlando on the same map and found that distance to be 4.25 inches. What is the real-life distance to the nearest mile between Tampa and Orlando
Answer:
Step-by-step explanation:
85miles¯\_(ツ)_/¯
Graphic organizers
a.
Must be artistic
c.
Are timelines only
b.
Show relationships among information
d.
Show cause and effect only
Please select the best answer from the choices provided
HELP ME IM ON A QUIZ AND TIME IS ALMOST UP PLS
Answer:
Show relationships among information
Answer:
B
Step-by-step explanation:
Linda's account has a balance of −$45.50. If she owes the bank more than $30, her account gets closed. Which of the following is true about Linda's account?
Answer:
There's no options but it will get closed
Step-by-step explanation:
Answer:
Step-by-step explanation:
-75.5
V = LWH solve for the variable w
Answer:
w=v/lh
Step-by-step explanation:
______ terms are also expressions. (please fill in the blank)
A. No
B. All
C. Some
Answer: The answer is some
I know this because I go to Harvard
Answer:
The answer is some
11/12 - (-10)- 5/6 please help
Answer:
121/12 is the answer your welcome
Aplica la operación de números enteros que corresponda:
(+148) + (+35) =
(+80) + (-53) =
(-125) X (-42) =
148+35=183
80+(-53)=27
(-125) x (-42)=5250
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
d
Step-by-step explanation:
listen bud i am trying to level up so i am doing the challenge 25 questions for 400 points i need 3 brainliest on the way can you help me out with this?
How much interest. does a $407 investment earns at 6% over a period of 6
years?
$146.52
You times the 407 by 6%, then you multiply the product by 6, which would leave you with the added amount.
Complete the table using equivalent ratios.
21:6
7:__
__:4
Answer:
7:2
14:4
Step-by-step explanation: