the answer is 5.8 x 10-7m
your welcome
The required wavelength of the yellow light is [tex]5.8\times10^{-7}[/tex] m
The correct option is (A).
Wavelength:
The wavelength can be calculated when frequency and speed of the wave are given as
wavelength [tex]\lambda[/tex] = [tex]\frac{v}{f}[/tex]
where v is the velocity of the wave and f be the frequency of the wave.
How to calculate wavelength?Here we have given that
The frequency f = [tex]5.2 \times10^{14}[/tex] Hz
The speed v = [tex]3 \times10^{8}[/tex] m/s
Therefore substitute into above formula
Wavelength [tex]\lambda[/tex]= [tex]\frac{3\times10^{8}}{5.2\times10^{14}}}[/tex]
Wavelength [tex]\lambda[/tex] = [tex]\frac{3}{5.2}\times10^{8-14}[/tex]
Wavelength [tex]\lambda[/tex] = [tex]0.5769\times10^{-6}[/tex]
Wavelength [tex]\lambda[/tex] = [tex]0.5769\times10^{-6}[/tex]
Wavelength [tex]\lambda[/tex] = [tex]5.769\times10^{-7}[/tex]
Wavelength [tex]\lambda[/tex]= [tex]5.8\times10^{-7}}[/tex] m
Therefore the correct option is (A).
This is the conclusion to the answer
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The average 12 to 17 year or spends 645 minutes per month on a personal computer this is 732 fewer minutes per month than the average 18 to 24 year old spends how many minutes per month does the average 18 to 24 year old spend on a personal computer
Answer:
1377 minutes
Step-by-step explanation:
645 + 732 = 1377 min
HELP ASAP NEED THIS ANSWER
A cruise ship can cover 18 nautical miles in 342 minutes. How many nautical miles will it travel in 152 minutes?
A. 8
B. 10
C. 12
D.6
Answer:
A.
The cruise ship will travel 8 nautical miles in 152 minutes.
Step-by-step explanation:
Distance covered by the cruise ship in 342 minutes = 18 nautical miles
Distance covered in 1 minute = [tex]\frac{18}{342}[/tex] nautical miles
= [tex]\frac{1}{19}[/tex] nautical miles
Distance covered in 152 minutes = [tex]\frac{1}{19}\times152[/tex] nautical miles
= 8 nautical miles
So, distance covered by cruise ship in 152 minutes is 8 nautical miles.
∴ The correct answer is option A.
There is a carnival. Children are $1.50 and adults are $4. On this particular day there 2200 in attendance and the total amount of money raised was $5050. how many children and adults attended on that day.
Answer:
On that day 1500 children and 700 adults attended.
Step-by-step explanation:
Given:
There is a carnival. Children are $1.50 and adults are $4.
The total amount of money raised was $5050.
On this particular day there 2200 in attendance.
Now, to find the children and adults attended on that day.
Let the children attended be [tex]x[/tex].
And the adults attended be [tex]y[/tex].
The total number in attendance:
[tex]x+y=2200[/tex]
⇒ [tex]x=2200-y[/tex]........( 1 ).
Now, the total amount of money raised:
[tex]1.50x+4y=5050[/tex]
Putting the equation ( 1 ) in the place of [tex]x[/tex] we get:
⇒ [tex]1.50(2200-y)+4y=5050[/tex]
⇒ [tex]3300-1.50y+4y=5050[/tex]
⇒ [tex]3300+2.50y=5050[/tex]
Subtracting both sides by 3300 we get:
⇒ [tex]2.50y=1750[/tex]
Dividing both sides by 2.50 we get:
⇒ [tex]y=700.[/tex]
The adults attended = 700.
Now, putting the value of [tex]y[/tex] in equation ( 1 ) we get:
[tex]x=2200-700[/tex]
⇒ [tex]x=1500.[/tex]
The children attended = 1500.
Therefore, on that day 1500 children and 700 adults attended.
Helppppppp! Please
Comment the right answer
Answer:
The fourth option
Step-by-step explanation:
48 is the minimum height, 42 is his current height, and h is the height he must grow. 42 +h is at least 48 so that rules out the first and third options. The second option would be around twice the required height, so it must be the fourth option.
Dave buys a basketball for $20 plus an 8% tax. Mel bought a football for $28 plus an 8% tax. Enter the difference that Dave and Mel paid, including tax. Round your answer to the nearest cent.
Answer:
Dave:
$20 + 8% of 20 = $21.6
Dave payed a total of $21.6 for the basketball.
Mel
$28 + 8% of 28 = $30.2
Mel payed a total of $30.2 for the football.
$30.2 - $21.6 = $8.6
The difference is $8.6.
The school board administered a reading test to all eighth-grade students at High Achievers Charter School and determined that 10%, percent of them were reading below grade level.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
A 10% percent of students in this sample are reading below grade level, but we cannot conclude anything about the eighth-grade students at HACS.
B 10% percent of all students at HACS are reading below grade level.
C 10% percent of all eighth-grade students at HACS are reading below grade level.
The correct conclusion based on the data is that 10% of all eighth-grade students at the High Achievers Charter School are reading below grade level.
Explanation:Based on the information provided in the question, the most accurate conclusion we can make is that 10% of all eighth-grade students at High Achievers Charter School (HACS), specifically, are reading below grade level. This is because the sample data was only collected from eighth-grade students at HACS. Therefore,
answer C
is correct. That being said, these results only apply to this specific school and grade level and cannot be generalized for all students at HACS or all other schools.
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Find the distance between these points.
A (5,8), B(-3, 4)
AB =
Answer:
8.9 thats rounded if it wasnt rounded it'll be 8.944
Step-by-step explanation
AB = 14.42
If you plot these points on a graph, they will not be in a straight line, so we'll need to do a little more math here. Draw a diagonal line connecting both points, and use this line as the hypotenuse, so you can draw a right triangle. Count the lengths of each side (except the long, diagonal line called the hypotenuse). Use the equation a^2 + b^2 = c^2 to find the length of side c.
Since side a is 8 units long, square it to get 64.
And side b is 12 units long, and if we square it we get 144.
64 + 144 = 208.
One last step. Now we need to find the square root of 208.
It is 14.42.
So, the distance between points a and b is 14.42 units.
Divide - 2x3 – 4x2 + 3x + 2 by x – 3.
To divide the given polynomial by a binomial, use polynomial long division, resulting in a quotient of -2x² - 10x - 30 and a remainder of 92.
Dividing a Polynomial by a Binomial
To divide the polynomial -2x³ – 4x² + 3x + 2 by the binomial x - 3, we will use polynomial long division, which is a process similar to long division with numbers. It involves subtracting multiples of the divisor from the dividend to get a quotient and possibly a remainder.
First, divide the first term of the dividend, -2x³, by the first term of the divisor, x, to get -2x².
Multiply the divisor x - 3 by the first term of the quotient, -2x², to get -2x³ + 6x².
Subtract this result from the dividend to obtain the new dividend -4x2 (adjusting the original terms), which becomes -10x².
Repeat this process with the remaining terms of the new dividend.
Continue until all terms of the dividend have been divided.
This process results in the quotient -2x² - 10x - 30 and a remainder of 92. The complete division statement is -2x³ – 4x² + 3x + 2 = (x - 3)(-2x² - 10x - 30) + 92.
Find ( f o g) (x) when f (x) = x^2+6x+5 and g(x)=1/x+1
The composite function (f o g)(x) is found by substituting g(x) into the f(x) expression. Upon simplification, (f o g)(x) when f (x) = x²+6x+5 and g(x) = 1/(x+1) is: 1/(x² + 2x + 1) + 6/(x+1) + 5.
Explanation:To find the composite function (f o g)(x) when f (x) = x²+6x+5 and g(x) = 1/(x+1), we substitute g(x) into f(x). That is, wherever you see 'x' in f(x), replace it with what g(x) is equal to.
Start with f(g(x)) = f(1/(x+1)). In f(x), replace x with 1/(x+1), which gives us: (1/(x+1))² + 6*(1/(x+1)) + 5. This is the composite function (f o g)(x).
To simplify further: the first term '(1/(x+1))²' becomes '1/(x² + 2x + 1)', the second term '6*(1/(x+1))' becomes '6/(x+1)', and the third term is just '+5'. So the composite function (f o g)(x) simplifies to: 1/(x² + 2x + 1) + 6/(x+1) + 5.
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What is the simplified form of the expression 7[63 ÷ (52 – 22) – 1]? (1 point)
10
42
14
350
Final answer:
To simplify the expression 7[63 ÷ (52 – 22) – 1], perform the operations inside the parentheses first, followed by division, subtraction, and multiplication in that order. The simplified form of the expression is 14.
Explanation:
To find the simplified form of the expression 7[63 ÷ (52 – 22) – 1], we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Within the parentheses, we first simplify the exponent, so we calculate 52 – 22 which is 25 – 4.
Perform the subtraction inside the parentheses: 25 – 4 equals 21.
Next, we divide 63 by 21, which equals 3.
Subtract 1 from 3 to get 2.
Finally, multiply 7 by 2 to get the simplified expression, which is 14.
Thus, the simplified form of the expression is 14.
Determine if the ordered pair (−1, −5) is a solution to the inequality y is less than or equal to negative three fourths times x minus 1. No, because (−1, −5) is above the line Yes, because (−1, −5) is below the line No, because (−1, −5) is on the line Yes, because (−1, −5) is on the line
Answer:
Yes, because (−1, −5) is below the line.
Step-by-step explanation:
The given inequality is [tex]y \leq -\frac{3}{4} x - 1[/tex] .......... (1)
Now, rearranging this equality relation we get,
4y = - 3x - 4
⇒ 3x + 4y = - 4
⇒ [tex]\frac{x}{- \frac{4}{3} } + \frac{y}{- 1} = 1[/tex] .......... (2)
This equation is in intercept form and the line represented by this equation passes through the x-intercept [tex](- \frac{4}{3}, 0)[/tex] and y-intercept (0,-1).
Now, it is clear that (0,0) point is above the equation.
But (0,0) point does not satisfy the inequality equation (1).
Hence, the solution of the inequality equation (1) is below and including line (2).
Now, point (-1,-5) is below the line (2) and hence, it is a solution of the inequality (1) as it is below the line. (Answer)
Answer:
the answer is [yes, because (-1, -5) is below the solid line].
Step-by-step explanation:
I took the test and got it right
A wooden block immersed partially into water. There were 15% of the total volume of the block
exposed and 85% of the total volume immersed in water. Calculate a. the density of the wooden block
Density of wooden block is 850 kilogram per cubic meter
Solution:
Given that wooden block immersed partially into water
There were 15% of the total volume of the block exposed and 85% of the total volume immersed in water
To find: density of the wooden block
The upward force exerted by any fluid upon a body placed in it is called buoyant force
Buoyant force is balanced by weight force of block
Buoyant force is weight of water displaced by block
Buoyant force = [tex]\rho_{w} V_{2} g[/tex]
Density of water = [tex]\rho_w[/tex] = 1000 kg/m3
[tex]V_2[/tex] = volume of block in water = 0.85 V
[tex]V_1[/tex] = Volume of block in air = 0.15 V
Weight of block = [tex]\rho V g[/tex]
Therefore,
[tex]\rho V g = \rho_{w} V_{2} g\\\\\rho V = \rho_{w} V_{2}\\\\ \rho V = 1000 \times 0.85V\\\\\rho = 1000 \times 0.85\\\\\rho = 850[/tex]
Thus density of wooden block is 850 kilogram per cubic meter
Write an equation for the nth term of the arithmetic sequence. Then find a30.
11, 10, 9, 8, ...
Answer:
Therefore the equation dor nth term is,
[tex]a_{n} =a_{1} + (n-1)\times d[/tex] and
[tex]a_{30} =-18[/tex]
Step-by-step explanation:
Given:
Arithmetic Sequence as
11 , 10 , 9 , 8 , ..........
∴ First term = a₁ = 11
Second term = a₂ = 10
∴ Common Difference = d = a₂ - a₁ = 10 - 11 = -1
∴ d = -1
To Find:
[tex]a_{n} = ?\\and\\a_{30} = ?[/tex]
Solution:
An equation for the nth term of the arithmetic sequence is given by
[tex]a_{n} =a_{1} + (n-1)\times d[/tex]
Substitute n= 30 for [tex]a_{30}[/tex] and a₁ and d we get
[tex]a_{30} =11 + (30-1)\times -1\\\\a_{30} =11+29\times -1\\\\a_{30} =11-29\\\\a_{30} =-18\\\\\therefore a_{30} =-18\ \textrm{as required}[/tex]
Therefore,
[tex]a_{30} =-18[/tex]
The nth term of the given arithmetic sequence can be represented by the equation an = 12 - n. The 30th term of this sequence is -18.
Explanation:In order to write an equation for the nth term of an arithmetic sequence, we need to know the first term (a1) and the common difference (d). In the given arithmetic sequence 11, 10, 9, 8, ..., the first term a1 is 11 and the common difference d is -1 (because each term reduces by 1).
The general formula for the nth term (an) of an arithmetic sequence is: an = a1 + (n-1) * d. Substituting the values of a1 and d in the equation, we get: an = 11 + (n-1) * -1 = 12 - n.
To find a30, substitute n = 30 in the equation, we get a30 = 12 - 30 = -18.
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Jenny has $25 and earns $10 for each lawn that she mows.
Jenny wants to buy a concert ticket that costs $115.
Enter the minimum number of lawns Jenny needs to mow
to be able to buy the concert ticket.
Answer:
9 lawns
Step-by-step explanation:
If she already has $25 of the $115 dollars needed for the ticket, she only needs to make $90 more. If she makes $10 each lawn, she would need to mow 9 lawns in order to get the $90 dollars.
How many times does 6 go into 24?
Answer:
4
Step-by-step explanation:
One woman is able to buy 5 hat and 4 pairs of mittens for $30 another woman purchase 5 pairs ovens and 2 hats for 19 what are the prices
Answer:
The cost of 1 hat = $2.24
The coat of 1 pair of oven mitten = $2.06
Step-by-step explanation:
Let us assume the cost of 1 hat = $ x
The cost of 1 pair of oven mitten = $y
Case 1: 5 hat and 4 pairs of mittens for $30
Cost of 5 hats =5 x ( cost of 1 hat) = 5 x = $ (5 x)
Cost of 4 mittens =4 x ( cost of 1 mittens) = 4 (y) = $ (4 y)
Total cost of 5 hats + 4 mittens = 5x + 4 y
⇒ 5 x + 4 y = $30 ....... (1)
Case 2: 2 hat and 5 pairs of mittens for $30
Cost of 2 hats =2 x ( cost of 1 hat) = 2 x = $ (2 x)
Cost of 5 mittens =5 x ( cost of 1 mittens) = 5 (y) = $ (5 y)
Total cost of 2 hats + 5 mittens = 2 x + 5 y
⇒2 x + 5 y = $19 ....... (2)
Now, solving (1) and (2) , we get:
5 x + 4 y = $30 (multiply by -2)
2 x + 5 y = $19 (multiply by 5)
Add both equations, we get:
-10 x - 8 y + 10 x + 25 y = -60 + 95
or, 17 y = 35
or, y = 35/17 = 2.05
or, y = $2.06
Now, 5 x + 4y = 30
⇒ 5 x + 4 (2.06) = 30
or, 5 x = 30 - 8.24 = 21.76
so, x = 21.76/5 = 2.24
or, x = $2.24
Hence, the cost of 1 hat = $2.24
And the coat of 1 pair of oven mitten = $2.06
Write an equation for the line that
passes through the point (5, -4) and
is parallel to the line y = 2x + 3.
Answer:
y = 2x - 14
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes, thus
y = 2x + c ← is the partial equation
To fid c substitute (5, - 4) into the partial equation
- 4 = 10 + c ⇒ c = - 4 - 10 = - 14
y = 2x - 14 ← equation of parallel line
solve q=r/2 (s+t) for t
How do I do 2/13×2/16
Answer:
1/52
Step-by-step explanation:
4/208=1/52
5-(-8) rewrite as addition and then evaluate
Answer: 13
Step-by-step explanation: In this problem we're asked to rewrite as addition and then evaluate.
It's important to understand that minus a negative means the same thing as plus a positive so we can change 5 - (-8) to 5 + (+8).
Now we can simply add to get a sum of 13.
Therefore, 5 - (-8) or 5 + (+8) = 13
Answer: 13
Step-by-step explanation: We originally have the equation 5-(-8).
Flip everything around.
5 + (+8)
5 + (+8) = 13.
When it gives the keywords "rewrite as addition" you should know that you need the rewrite the equation an opposite way of what it was written.
In this case it was 5-(-8).
Flip the signs, 5+(+8).
Add 5 to 8 and get 13.
Karen has $1.70 in coins. Karen has 8 coins, all of which are quarters or dimes.
1. Write an equation to represent the amount of coins Karen has.
2.Write an equation to represent the value of the coins Karen has.
☆ The equations has to be in the systems of linear equations and Inequalities.
So can someone help me with these 3 parts?
x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
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Four people at Pia’s Pottery Shop each make 29 mugs and 18 pottery bowls. Three people at Jason’a Craft Shop each make the same number of mugs and twice as many bowls. How many objects did the seven people make in all?
Answer:
58+54=112
Step-by-step explanation:
The solution is 112 objects
The total number of objects the 7 people from Pia's Pottery shop and Jason's Craft shop is A = 112 objects
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of objects be = A
Let the number of mugs in Pia's shop be = m₁
Let the number of bowls in Pia's shop be = b₁
Now , the value of m₁ = 29 mugs
The value of b₁ = 18 bowls
And ,
Let the number of mugs in Jason's shop be = m₂
Let the number of bowls in Jason's shop be = b₂
m₁ = m₂ and b₂ = 2 x b₁
Now , the value of m₂ = 29 mugs
The value of b₂ = 36 bowls
So , the total number of objects A = number of mugs in Pia's shop + number of bowls in Pia's shop + number of mugs in Jason's shop + number of bowls in Jason's shop
Substituting the values in the equation , we get
The total number of objects A = 29 + 18 + 29 + 36
The total number of objects A = 112 objects
Therefore , the value of A is 112 objects
Hence , the total number of objects is 112 objects
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The fuel for a chain saw is a mix of oil and gasoline.
Answer:
it should be a 50:1 gas oil ratio.
Step-by-step explanation:
ignore my working out
Can someone help me and explain the answer please
Answer:
A = (90°, 1)
B = (270°,-1)
Step-by-step explanation:
if we don't use a calculator, we can explain by reasoning.
Observation 1:
recall y=sin x and y=cos x take values between -1 ≤ y ≤ 1, hence we know that the largest possible value for both functions is 1 and the smallest possible value is -1.
Observation 2:
we also know that both sin and cos functions are cyclic, which means that at some point, the function repeats itself every 360 degrees.
in question 1, we see that point A is located at the top most part of the curve, by observation 1, we can conclude that the y-value must be the maximum value of 1.
We also see that point A is 1/4 of the distance between the starting point of the curve at x=0 and to the end of the curve at x=360 before the curve begins to repeat itself,
hence the x - value is 1/4 of 360 = 90 degrees
Similarly, for point B, we see that B is at the lowest point of the curve, hence by observation 1, we can say that at B, y = -1.
B is also 3/4 of the distance between the start point and the end of the curve before it repeats itself,
hence the x-value of B is 3/4 x 360 = 270 degrees
High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 tons of steel and specifies that it must be in the proportion 80% iron and 20% steel. How many tons of high grade and low grade steel must you melt together to create steel that matches NASA’s requirements?
Answer:
[tex]361\dfrac{1}{9}[/tex] tons of high steel and [tex]138\dfrac{8}{9}[/tex] tons of low steel
Step-by-step explanation:
Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.
In x tons of high grade steel there are
[tex]0.85x[/tex] tons of iron
[tex]0.15x[/tex] tons of magnese
In y tons of low grade steel there are
[tex]0.67y[/tex] tons of iron
[tex]0.33y[/tex] tons of magnese
NASA orders 500 tons of steel, so
[tex]x+y=500[/tex]
and specifies that it must be in the proportion 80% iron and 20% magnese, so
[tex]0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400[/tex]
From the first equation,
[tex]x=500-y[/tex]
Substitute it into the second equation:
[tex]0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons[/tex]
7: Maribel blinks her eyes 105 times in 5 minutes. If b represents the number of times Maribel blinks in m minutes, what is a linear equation that represents this situation? Assume that Maribel blinks her eyes at a constant rate
Answer:
Step-by-step explanation:
105/5= 21
21m=b
feel free to ask any question
[tex]\[b = 21m\][/tex] This equation indicates that the number of blinks [tex]\( b \)[/tex] is equal to [tex]21[/tex]times the number of minutes [tex]\( m \)[/tex]
To find a linear equation that represents the number of times Maribel blinks in a given number of minutes, we can use the information provided and assume a constant rate of blinking.
Given:
Maribel blinks [tex]105[/tex] times in [tex]5[/tex] minutes.
To find the rate of blinking per minute, we divide the total number of blinks by the total number of minutes:
[tex]\[\text{Rate of blinking} = \frac{105 \text{ blinks}}{5 \text{ minutes}} = 21 \text{ blinks per minute}\][/tex]
Let [tex]\( b \)[/tex] represent the number of blinks, and let [tex]\( m \)[/tex] represent the number of minutes. Since Maribel blinks at a constant rate, the relationship between [tex]\( b \)[/tex] and [tex]\( m \)[/tex] is linear and can be described by the equation:
[tex]\[b = 21m\][/tex]
Solve the system:
5x-7y=-41
-3x-5y=-3
Answer:
x = -4 , y = 3
Step-by-step explanation:
5x - 7y = -41 ... (i)
-3x - 5y = -3 ... (ii)
Multiplying (i) by -3 and (ii) by 5 ;
-15x + 21y = 123 ... (i)
-15x - 25y = -15 ... (ii)
Subtracting (i) by (ii) ;
0 + 46y = 138
46y = 138
y = 138 ÷ 46 = 3
Returning to equation (ii) ;
-3x - 5(3) = -3
-3x = -3 + 15
-3x = 12
x = -4
Answer: The values of x and y in the given equations are [tex]x=-4[/tex] and [tex]y=3[/tex]
Step by step explanation:
Given system of equations are
[tex]5x-7y=-41\hfill (1)[/tex]
[tex]-3x-5y=-3\hfill (2)[/tex]
To find the values of x and y :
by using Elimination method
Now multiplying the equation (1) into 3 we get
[tex]15x-21y=-123[/tex]
Now multiplying the equation (2) into 5 we get
[tex]-15x-25y=-15[/tex]
Adding the above two equations
[tex]15x-21y=-123[/tex]
[tex]-15x-25y=-15[/tex]
_________________
[tex]-46y=-138[/tex]
_________________
[tex]46y=138[/tex]
[tex]y=\frac{138}{46}[/tex]
[tex]y=3[/tex]
Therefore [tex]y=3[/tex]
Substitute y value in equation (1)
[tex]5x-7y=-41[/tex]
[tex]5x-(7\times 3)=-41[/tex]
[tex]5x-21=-41[/tex]
[tex]5x=21-41[/tex]
[tex]5x=-20[/tex]
[tex]x=-\frac{20}{5}[/tex]
[tex]x=-4[/tex]
Therefore [tex]x=-4[/tex]
The values of x and y are [tex]x=-4[/tex] and [tex]y=3[/tex]
what is 2 divide by 36
Answer:
0.0555555556
Step-by-step explanation:
Answer:
1/18 or 0.055...
Step-by-step explanation:
2/36=1/18
Which inequality is represented by this graph?
A.
[tex]x > - 53[/tex]
B.
[tex]x \leqslant - 53[/tex]
C.
[tex]x < - 53[/tex]
D.
[tex]x \geqslant - 53[/tex]
Answer:
The Option D (x ≥ - 53) is correct for the given graph.
Step-by-step explanation:
As shown in the graph blue part is from - 53 to -50 including -53.
therefore x ≥ - 53.
Multiply.
24.41
x 2.2
explain how u did it
________
Answer:
53.702
Step-by-step explanation:
You split the two numbers into two.
24, 0.41, 2, and 0,2
Then multiply each one by each other
2 x 24
2 x 0.41
0.2 x 24
0.2 x 24
24 x 2
24 x 0.2
0.41 x 2
then add all of them together and you get your answer