two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answers
Answer:
14 and 21 is the answer
Step-by-step explanation:
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Answer:
[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
[tex] \sf{2x + 3x = 35}[/tex]
Solve for x.
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]
Divide both side by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]
[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]
The numbers are : 14 and 21
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Related Questions
Which of the following could be the side lengths of a triangle?
A. 2, 3, 6
B. 9, 10, 19
C. 5, 8, 15
D. 12, 15, 25
Answers
Answer:
The answer would be D. 12, 15, and 25.
Step-by-step explanation:
The first two sides, sum must be larger than the third side.
so 12+15=27 which is larger than 25
The correct answer for the side lengths of a triangle is D. 12, 15, 25.
What is the side lengths of a triangle rule?The sides of a triangle rule asserts that the sum of the lengths of any two sides of a traingle has to be greater than the length of the third side.
If a,b,c are the sides of the triangle then,
a + b > c
Now in the given question let us suppose a,b,c be the length of the sides
A. 2, 3, 6
Here, a = 2, b= 3 and c = 6
Applying sides of a triangle rule,
a + b > c
⇒2 + 3= 5 which is less than 6
Here, a + b <c
Therefore , these are not the lengths of triangle.
B. 9, 10, 19
Here, a = 9, b= 10 and c = 19
Applying sides of a triangle rule,
a + b > c
⇒9 + 9= 18 which is less than 19
Here, a + b <c
Therefore , these are not the lengths of triangle.
C. 5, 8, 15
Here, a = 5, b= 8 and c = 15
Applying sides of a triangle rule,
a + b > c
⇒5 + 8 = 12 which is less than 15
Here, a + b <c
Therefore , these are not the lengths of triangle.
D. 12, 15, 25
Here, a = 12, b= 15 and c = 25
Applying sides of a triangle rule,
a + b > c
⇒12 + 15 = 27 which is greater than 25
Here, a + b > c
Therefore , these are the lengths of triangle.
Hence,The correct answer for the side lengths of a triangle is D. 12, 15, 25.
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What is the answer for -4-(7t-4)^2=-49
Answers
t₁ = (3√5 + 4)/7
t₂ = -(3√5 - 4)/7
Step-by-step explanation:- 4 - (7t - 4)² = - 49
- (7t - 4)² = - 49 + 4
- (7t - 4) = - 45 | (-)
(7t - 4)² = 45
(7t - 4)² = 3√5
7t - 4 = ± 3√5
7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7 7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet mars is about 7000km. What is the approximate ratio of the diameter of the Sun to the diameter of Mars?
Answers
Answer:
200 : 1
Step-by-step explanation:
Given that,
The diameter of the Sun is 1.4 x 10⁶ km and the diameter of the planet mars is 7000 km.
We need to find the ratio of the diameter of the Sun to the diameter of Mars. Let the ratio is R. So,
[tex]R=\dfrac{\text{diameter of the Sun}}{\text{diameter of Mars}}\\\\R=\dfrac{1.4\times 10^6\ km}{7000\ km}\\\\R=\dfrac{200}{1}[/tex]
Hence, the ratio is 200:1.
g(x) = x² + 4x-1
Solve
Answers
Answer:
Using the quadratic formula:
x = [-4 +- sqr root (16 - 4 * 1 * -1)] / 2 *1
x = [-4 +- sqr root (20)] / 2
x1 = [-4 + sqr root (20)] / 2
x2 = [-4 - sqr root (20)] / 2
x1 = 0.23607
x2 = -4.2361
Step-by-step explanation:
Answer:
x = - 2 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
g(x) = x² + 4x - 1
To solve for x let g(x) = 0, that is
x² + 4x - 1 = 0 ( add 1 to both sides )
x² + 4x = 1
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 1 + 4
(x + 2)² = 5 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{5}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{5}[/tex]
Thus solutions in exact form are
x = - 2 - [tex]\sqrt{5}[/tex] , x = - 2 + [tex]\sqrt{5}[/tex]
Solve for t in terms of q, r, and s.
S = rqt
T=
Answers
multiply out
qt=rs+rt
The solution is: the value of x, and the angles m∠SQT and m∠RQS are:
x = 23, m∠RQS = 72°, m∠SQT = 83°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
Hence, The solution is: the value of x, and the angles m∠SQT and m∠RQS are: x = 23, m∠RQS = 72°, m∠SQT = 83°.
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complete question:
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.24, the probability that it was mainly silver was 0.22 and the probability that it was mainly black was 0.19. In this region, are the events "silver" and "black" mutually exclusive? Find the probability that a randomly selected car from this region is mainly silver OR mainly black.
Answers
Answer:
0.41 probability
Step-by-step explanation:
0.22 + 0.19 = 0.41
Answer:Yes they are mutually exclusive!
0.22 + 0.19 = 0.41
Which is not a solution of 5(2x+4)[tex]\geq[/tex] 2(x+34)? pllllllzzzzzz i need this so much
Answers
I think it's help u so follow me and brainlist me if it's wrong then tell me
Which statement best describes the zeros of the function h(x) = (x-4)2(x - 7x + 10)?
Answers
Answer:
where are the options
Step-by-step explanation:
Answer: The answer is THE FUNCTION HAS THREE DISTINCT REAL ZEROS
Step-by-step explanation:
I’m pretty sure I still need to check if I got it right
tickets to a school dance are sold for $10 each the student council spent a total of $400 on setup cost for the dance the school's profit p in dollars from the dance depends on the number of tickets sold which function describes the relationship between p and t
Answers
Answer:
I think it’s p(t)=10t-400
Answer:
t(p) = 10p-400
Step-by-step explanation:
2. Help with this pls
Answers
I believe the answer is A.
(Giving Brailniest) What is 18x+20
Answers
Answer:
[tex]2(9x+10)[/tex]
Step-by-step explanation:
[tex]18x+20[/tex]
First, we have to factor. We will have to factor out 2 to get the answer(Factor out 2 from 18x+20).
Answer:
[tex]2(9x+10)[/tex]
Hope this helps!
combine like terms: 11y-2x-10y-y+6x
Answers
Answer:1y+7x
Step-by-step explanation:
Answer:
4x
Step-by-step explanation:
11 y - 2 x - 10 y - y + 6 x . (Subtract all the y's first then the x's)
4x
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29.a) trueb) false
Answers
Complete question :
A statistics professor wants to know the average GPA of the students enrolled in their class. They look up information on Canvas about the students enrolled in the class and compute the average GPA as 3.29
a. State whether the following statement is true or false. The population is all students enrolled in the accounting class.
b. Does the value 3.29 represent the population parameter or the sample statistic?
Answer:
True ; population parameter
Step-by-step explanation: The population comprises of all sets or participants relating to a study or experiment. For example, a population of male adults in the United States refers to the entire pool of adult population in the country. Hence, in the scenario above, the population refers to the entire student in the accounting class since the accounting class represents the entire pool of students.
B.) population parameter
Statistical estimates derived from a population is called the a parameter, since 3.29 represent the average score of the entire class.
Same statistic represents estimates derived from a sample (subset of the entire population).
What is the sum1,000+2,000=
Answers
Answer:
3000
Step-by-step explanation:
1000 + 2000 = 3000
Step-by-step explanation:
sum1,000+2,000=3000.is yoir answer
what times what times what times what equals -5/24 i need two different ways please help
Answers
Answer:
;fjk;rofkfk;;fkslgl;fkfls'rfi;,dfei;se;feieirjeiljlaejre
sfe;jflejflseleijflskfeselselehf
Step-by-step explanation:
ueufaepfsfjseuefkeou;oiwrrsdkuijksgukuisdjyfekefaehkf
How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800
Answers
Answer: 100/400
Step-by-step explanation:
if f(x) = 3x +2, g(x) = 4x, what is f(g(x)?
Answers
Answer:12x+2
Step-by-step explanation: the first step is to put g of x in f of x like this
3(4x)+2
Clear parentheses and combine like terms:
Answers
Answer:
A. 14uv+7uv^2
Step-by-step explanation:
9uv+3u^2+5uv+4u^2
9uv+5uv+3u^2+4u^2
14uv+7uv^2
Hope this helps ;) ❤❤❤
i need help please :(
Answers
Answer:
B
Step-by-step explanation:
Recall the product property of exponents, where:
[tex]x^a\cdot x^b=x^{a+b}[/tex]
In our expression, x is 3, a is -8, and b is 4. Thus:
[tex]3^{-8}\cdot 3^{4}=3^{-8+4}[/tex]
Add in the exponent.
[tex]=3^{-4}[/tex]
So, our answer is B.
And we're done!
The power generated by an electrical circuit (in watts) as a function of its current c cc (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8) What is the maximum power possible?
Answers
The maximum power is 4A.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The given function
P(x) = - 15x (x-8)
P(x) = - 15x² + 120x
The standard form of a quadratic function is:
y = ax² + bx + c
For which x is the maximum of the parabola
x = - b/2a
So, a = -15 and b = 120.
Then, x = - 120/(2 · (-15))
x = - 120/ (-30)
x = 4A
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Solve problem step by step 3(2x-4)=8
Answers
Answer:
x = 10/3
Step-by-step explanation:
3(2x-4) = 8
3*2x + 3*-4 = 8
6x - 12 = 8
6x = 8 + 12
6x = 20
x = 20/6
x = 10/3
Check:
3((2*10/3) - 4) = 8
3(20/3 - 4) = 8
20 - 3*4 = 8
20 - 12 = 8
what is 186 over 31
Answers
Answer:
6
Step-by-step explanation:
Translate the phrase into an algebraic expression, then simplify.
The sum of -23 and 9,
Answers
Answer:
69
Step-by-step explanation:
Write the sentence as an equation.
247 is equal to 144 more than the quantity 195 times v
Answers
Answer:
247 = 144 + (195 ⋅ v)
Which is the length of x? 1 7/9 2 1/2 1 1/4 1 3/5
Answers
Answer:
option D. x = 1 3/5
Step-by-step explanation:
ratio and proportion
4 = x
5 2
X multiply:
5x = 4(2)
5x = 8
x = 8 / 5
x = 1 3/5
Answer:
x = 1 3/5
Step-by-step explanation:
x = 1 3/5
x/8 = 3/4 solve for x
Answers
Answer: X= 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, multiply 8 to both sides:
(x/8)8 = (3/4)8
x = (3 * 8)/4
First, divide 8 with 4:
x = 3 * (8/4) = 3 * 2
Finally, simplify by multiplying:
x = 3 * 2
x = 6
x = 6 is your answer.
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A car travels 200 ft before stopping.How many meters is this?
Answers
Answer:
the answer is 60.96
Step-by-step explanation:
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Evaluate k ^5 · m If k=2 and k=5
Answers
Answer:
32, 3125
Step-by-step explanation:
2^5=32 and 5^5=3125
The population of a South America country is about 17,400,000. Which expression shows this number in scientific notation?
Answers
Answer:
1.74x10^7
Step-by-step explanation:
you count how many times you moved the decimal to the right
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Answer:
1.74x10^7
Step-by-step explanation:
What is the difference between the absolute value of 4 and the absolute value of –3?
Answers
Answer:
The absolute value of -3 is three the absolute value of 4 is 4.
Answer:
k bro the correct answer is 7
Step-by-step explanation:do 4 - 4 which equals 0 right then minus 3 more to get -3 therefore your answer is 7 Mark brainliest plz