Determine which solution is correct for solving - y = 6 using reciprocals. 5 7 Y=6 5 7 y 5 30 7 5 - (윽) (6) y = ○ 5 7y=6 5 y-23 y= 5 -6- 7 5 5 74= 6 7 5 y = 5 42 5 y = (3) (6) 5 74=6 (7) 5 5 y=6 y=6
Answers
The correct answer for the reciprocal y = 42/5
What is Reciprocal?
The multiplicative reciprocal or reciprocal of a number x, denoted 1/x or x⁻¹, is the number that, when multiplied by x, gives a multiplicative identity element of 1. The multiplicative inverse of the fraction a/b is b/a. For the multiplicative reciprocal of a real number, divide 1 by the number.
Given,
5/7 y = 6
The reciprocal of 5/7 will be 7/5
Then,
Multiplying both side by 7/5, we get
(7/5)(5/7)y = (7/5)6
y = 42/5
Hence, y = 42/5 is the right answer
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Related Questions
A brick has dimensions of110. cm x 655 cm x 1330 cm.What is the volume of the brick in cubic meters?
Answers
Answer: We have to find the volume of the brick, the formula for the volume is as follows:
[tex]V=l\times w\times h\Rightarrow(1)[/tex]Identifying the known variables and plugging in the equation (1) gives the following answer:
[tex]\begin{gathered} l=110cm \\ w=655cm \\ h=1330cm \end{gathered}[/tex]The volume therefore is:
[tex]\begin{gathered} V=(110cm)\times(655cm)\times(1330cm) \\ V=95,826,500cm^3 \end{gathered}[/tex]help meeeeeeeeeeeeeeeeeeeeeee
thank you
Answers
The height of the object based on the information is 1963 feet.
How to calculate the height?It should be noted that a function is important to show the relationship between the variables given in the data.
In this case, the function given for the height of the object is given as:
h = 16t² + 1899
where t = time
When the time is 2 seconds, the height will be:
h = 16t² + 1899
h = 16(2)² + 1899
h = 64 + 1899
h = 1963
The height is 1963 feet.
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Simplify: ✓- 72 O A - 6iva O B. 6iv 2 O c. 5i/3 OD. – 517 3
Answers
We want to simplify the following expression
[tex]\sqrt[]{\text{ -72}}[/tex]To do so we will use the following properties
[tex]\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}[/tex]and
[tex]\sqrt[]{\text{ -1}}=i[/tex]So we have that
[tex]\sqrt[]{\text{ -72}}=\sqrt[]{\text{ -1}\cdot72}=\sqrt[]{\text{ -1}}\cdot\sqrt[]{72}=\sqrt[]{72}i=\sqrt[]{8\cdot9}i=\sqrt[]{8}\cdot\sqrt[]{9}i=\pm3\cdot\sqrt[]{8}i=\pm3\cdot\sqrt[]{4\cdot2}i=\pm3\sqrt[]{4}\sqrt[]{2}i[/tex]which is equal to
[tex]\pm3\cdot2\sqrt[]{2}i=\pm6\sqrt[]{2}i[/tex]so options A and B are correct
If a car will go 108 miles on a 6 gallon of gasoline in city driving. What is the rate in miles per gallon.
Answers
To find the rate in miles per gallon, divide the number of miles by the number of gallons of gasoline:
[tex]\frac{108\; \text{miles}}{6\; \text{gallons}}[/tex]Reduce the fraction by 6:
[tex]\frac{108}{6}=18\text{ miles per gallon}[/tex]The rate in miles per gallon is 18.
Find the 29th term of an arithmetic sequence with a1 = 2 and d =5
Answers
Arithmetic Sequence is a sequence of numbers such that the difference between each number is constant. The formula for the arithmetic sequence is given by;
[tex]a_n=a_1+(n-1)d[/tex]where An is the last term
A₁ is the first term
n is the number of terms (or number in the sequence)
d is the common difference
In our problem we are given the first term (a₁) = 2, a common difference of 5 (d = 5), and the number of terms which is 29 (n = 29).
Now in order to find the 29th term of the sequence (a₂₉), we just need to follow the formula;
[tex]\begin{gathered} a_{29}=a_1+(n-1)d_{} \\ a_{29}=2_{}+(29-1)5 \\ a_{29}=2_{}+(28)5 \\ a_{29}=2_{}+140 \\ a_{29}=142 \end{gathered}[/tex]Therefore the 29th term of the arithmetic sequence is 142.
Formula: an=a1 + (n-1) x d
a1=2
d=5
n=29
plug in the values: an= 2 + (29-1) x 5 = 142
SO THE ANSWER IS : 142
Find the quotient.0.56/−0.7
Answers
ANSWER
-0.8
EXPLANATION
The division between a positive number and a negative number gives as a result a negative number. With this in mind, we can do the division as if the numbers were both positive and then add the minus sign to the result:
Adding the minus sign, the result is -0.8
Simplify the expression
10 - 2(-10x + 7)
Answers
Answer: 20x - 4
Step-by-step explanation:
10 - 2(-10x+7)
Distribute the -2:
10 + 20x -14
Combine Like Terms:
20x - 4
A store has clearance items that have been marked down by 40%. They are having a sale, advertising an additional 60% off clearance items. What percent of the original price do you end up paying?
Answers
Answer:
24 percent
Step-by-step explanation:
Let's say that there is a 100-dollar item. Mark that by 40 and you get 60. Marking that by 60 again gives you 24 dollars. 24 dollars is 24 percent of 100, so you only pay 24 percent of the original price.
what percent of 51 is 127.5?20.67 is 42.5% of what?
Answers
a) We have to find what percent of 51 is 127.5.
As 127.5 is larger than 51, we expect a percentage larger than 100%.
We can find the percentage by dividing the part, 127.5, by the total, 51, and multiplying by 100%:
[tex]\frac{127.5}{51}\cdot100\%=2.5\cdot100\%=250\%[/tex]b) We have to find the value x of which 42.5% is equal to 20.67.
We can write this as:
[tex]\begin{gathered} x\cdot\frac{42.5}{100}=20.67 \\ x\cdot0.425=20.67 \\ x=\frac{20.67}{0.425} \\ x\approx48.63 \end{gathered}[/tex]Answer:
a) 127.5 is 250% of 51.
b) 20.67 is 42.5% of 48.63.
Hi can someone please explain this?
Image is attached
Answers
Answer:
B
Step-by-step explanation:
Since triangles BCD and PQR are similar, we can find BD through the three proportional sides. Line BD is to PR and option B is the only answer where BD and PR are both numerators/denominators in this case the denominators of the two fractions. Hope this helps!
what is the answer too 14:10=:55
Answers
Answer: Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Step-by-step explanation:
a hotel manager has 12 diferent promotional events,plans to run 4 weeks, how many events can she run
Answers
Answer: 3 per week.
Step-by-step explanation: 3 x 4 = 12.
3 The table shows the average mass, in kilograms, of different sizes of cars and trucks. Size Small Car Large Car Large Truck Average Mass (kilograms) 1,354 1,985 2,460 Parta
Answers
The average mass of the large truck is 2460 kg and the average mass of the small car is 1354 kg.
Based on the given data, the mass of the large truck is 1106 kg.
Now, rounding off to the nearest hundred, the average mass of the larger truck is 2500 kg and the average mass of the small car is 1400 kg.
So, the larger truck is 1100 kg heavier than than the smaller car.
Determine all solutions to the equation radical 2 times cosine 2 times x equals sine squared x plus cosine squared x on the interval [0, 2π).
Answers
Given
The equation,
[tex]\sqrt{2}\cos2x=\sin^2x+\cos^2x[/tex]To determine all the solutions in the interval [0, 2π).
Explanation:
It is given that,
[tex]\sqrt{2}\cos2x=\sin^2x+\cos^2x[/tex]Since
[tex]\sin^2x+\cos^2x=1[/tex]Then,
[tex]\begin{gathered} \sqrt{2}\cos2x=\sin^2x+\cos^2x \\ \Rightarrow\cos2x=\frac{1}{\sqrt{2}} \\ \Rightarrow2x=\cos^{-1}(\frac{1}{\sqrt{2}}) \\ \Rightarrow2x=\frac{\pi}{4} \\ \Rightarrow x=\frac{\pi}{8} \end{gathered}[/tex]Hence, the solutions of the given equation in [0, 2π) is,
[tex]a)\text{ }x=\frac{\pi}{8},\frac{7\pi}{8},\frac{9\pi}{8},\frac{15\pi}{8}[/tex]
The function g is defined as follows.
g(x)=x² +1
If the graph of g is translated vertically upward by 4 units, it becomes the graph of a function h.
Find the expression for h (x).
Answers
Answer:
Use that steps to find your answer
Answer:
h(x) = g(x) + 5 = x² + 5
Step-by-step explanation:
Since the graph is translated vertically upward by 4 units, there is no change in the x values; for the same x value the new y value is +4 times the old y value
Make the following conversions. Round your answers to 2 decimal places, where necessary.5 hours 10 minutes toa. Minutes: ? minb. Hours: ? hr
Answers
Let's do the math for this question.
y=5x+50 in standard form
Answers
Answer:
-5x + y = 50
Step-by-step explanation:
to formula for standard form is Ax + By = C
the formula (y=5x+50) is in slope-intercept form, which is y=mx+b
to write (y=5x+50) in standard form, move the 'mx' (which in this case is 5x) to the other side of the '=' or also known as the equation:
y = 5x + 50
y - 5x = 5x - 5x + 50
y - 5x = 50
(here, we subtracted 5x on both sides of the equation to 'move it')
Ax = -5x
By = 1y = y
C = 50
so, to write it in the standard form:
-5x + y = 50
A scientist begins with 100 milligrams of a radioactive substance, which decays exponentially.after 9 hours 55mg of the substance remains How many milligrams will remain after 21 hours? Round the answer to the nearest whole number and include units
Answers
We have that the general expression for a function with exponential growth or decay is:
[tex]f(t)=ab^t[/tex]where 'a' represents the initial value, 'b' represents the growth or decay and t represents the time.
In this case, we have that a = 100, since that is the initial population (100 mg of radioactive substance). Also, since we have that after 9 hours, 55 mg of the substance remains, we have the following equation:
[tex]f(9)=55[/tex]now, given the exponential function, with a = 100, we have:
[tex]f(t)=100b^t[/tex]then, combining both expressions, we get:
[tex]f(9)=100b^9=55[/tex]solving for b, we have:
[tex]\begin{gathered} 100b^9=55 \\ \Rightarrow b^9=\frac{55}{100} \\ \Rightarrow b=\sqrt[9]{\frac{55}{100}}=0.935 \\ b=.935 \end{gathered}[/tex]then, the function is defined as follows:
[tex]f(t)=100\cdot(0.935)^t[/tex]finally, to find out how many milligrams will remain after 21 hours, we can make t = 21 and evaluate the function:
[tex]\begin{gathered} t=21 \\ \Rightarrow f(21)=100(0.935)^{21}=24.38 \\ f(21)=24.38mg \end{gathered}[/tex]therefore, there will be 24.38mg after 21 hours
Solve the equation using the quadratic formula. 2y^2 + 4y + 1 = 0
Answers
Answer:
The solution to the quadratic equation is;
[tex]\begin{gathered} y=-1+\frac{\sqrt[]{2}}{2} \\ \text{and} \\ y=-1-\frac{\sqrt[]{2}}{2} \\ y=-1+\frac{\sqrt[]{2}}{2},-1-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]Explanation:
Given the quadratic equation;
[tex]2y^2+4y+1=0[/tex]Applying quadratic formula;
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]Substituting the coefficients of the quadratic equation;
[tex]\begin{gathered} y=\frac{-4\pm\sqrt[]{4^2-4(2)(1)}}{2(2)} \\ y=\frac{-4\pm\sqrt[]{16^{}-8}}{4} \\ y=\frac{-4\pm\sqrt[]{8}}{4} \\ y=\frac{-4\pm2\sqrt[]{2}}{4} \\ y=\frac{-2\pm\sqrt[]{2}}{2} \end{gathered}[/tex]Therefore, the solution to the quadratic equation is;
[tex]\begin{gathered} y=-1+\frac{\sqrt[]{2}}{2} \\ \text{and} \\ y=-1-\frac{\sqrt[]{2}}{2} \\ y=-1+\frac{\sqrt[]{2}}{2},-1-\frac{\sqrt[]{2}}{2} \end{gathered}[/tex]given the function. calculate the following values.
Answers
Answer:
[tex]5, \sqrt{2}, 10[/tex]
Step-by-step explanation:
[tex]x=-7 \implies x<0 \implies f(-7)=5 \\ \\ x=0 \implies x \geq 0 \implies f(0)=\sqrt{2(0)^2+2}=\sqrt{2} \\ \\ x=7 \implies x \geq 0 \implies f(7)=\sqrt{2(7)^2+2}=10[/tex]
Is this the right answer to the question. Not 100% sure.
Answers
Answer:
Yes, you are correct. Lines l and m are parallel, so corresponding angles are congruent. It does follow that x = 60.
Alyssa paints 3 walls blue. Each of the walls is 8.3 feet tall and 7.5 feet wide. Round the length and width to the nearest whole number. Then estimate the area that Alyssa will paint. Write equations to show your work. Once, you have done everything find the exact area. Write equations to show your work. Then, compare your estimate to the exact answer. Why is your answer reasonable?
Answers
The equation to show the area Allysa will paint is Area = 3(Height x Width) = 3( 8.3ft * 7.5ft) and the area is 186.75 ft²
How to solve Algebraic Word Problems?We are given the dimensions of wall as 8.3ft by 7.5ft.
Thus;Height of wall = 8.3 ft
Width of wall = 7.5 ft
Now, there are total 3 walls in the bedroom to be painted blue.
The formula to calculate the area of one wall is;
A = Height x WidthFormula to calculate the area of four walls will be;
Area = 3(Height x Width) = 3( 8.3ft * 7.5ft)
= 3 (62.25 ft²)= 186.75 ft²
Thus, an area that Alyssa will paint = 186.75 ft²
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Solve for x using the "Quadratic Formula". You MUST show every level of work (like you saw in the lesson) in order to receive full credit.
3x^2-5x+1
Answers
The solution to the quadratic equation 3x² - 5x + 1 using quadratic formula is; x = (5 + √13)/6 or (5 - √13)/6
How to use the quadratic formula?
The general form of a quadratic equation is given as;
ax² + bx + c = 0
The quadratic formula that is used to solve this is given by;
x = [-b ± √(b² - 4ac)]/(2a)
Now, we are given the quadratic equation as;
3x² - 5x + 1
Thus, using quadratic formula we have;
x = [-(-5) ± √((-5)² - (4 * 3 * 1))]/(2 * 3)
x = [5 ± √(25 - 12)]/6
x = (5 ± √13)/6
x = (5 + √13)/6 or (5 - √13)/6
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HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Answer:
(3.11), (310/100),(1/3),(3/10),(2/-3) Hope I helped
Step-by-step explanation:
310/100 when divided gives us 3 10/100 or in simple form 3.1
1/3 is the smallest rational number but in simple form it is equal to 0.3(3) never ending multiplication of 3
3.11 is displayed in simple form so there is no need to change the number
3/10 can be displayed in simple form as 0.3( remember when dividing by a multiplication of 10 move the decimal point to the left of the lumber by the amount of zeros)
2/-3 since we are dividing the number by a negative number the result will end up in the negatives so lets think of it as 2/3 and later add the negative sign. 2/3 is equal to 0.6(6) and since we are dividing by a negative the result will be -0.6(6)
Which picture shows a properreflection across the red dashed line?АB
Answers
When you reflect a point across the red dashed line y = x, the x-coordinate and y-coordinate change places;
If you reflect over the red dashed line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).
Thus, the picture that shows a proper reflection across the red dashed line is B
elenas bed measures 3‘ x 6‘ on the scale drawing what are the actual measurements of her bed
Answers
Using proportions, supposing a scale of 1 inch = 3 feet, the actual measurements of her bed are given by: 9 ft x 18 ft.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division, from the relations built in the problem.
One example of application of proportions is for scale problems, as the actual scale and the drawing length are compared to find the actual length of the object drawn.
In the context of this problem, the scale is given by:
1 inch = 3 feet.
The drawn length of the bed is given by:
3 inches x 6 inches.
Hence the actual length is given by:
9 feet x 18 feet.
As:
3 x 3 = 9.6 x 3 = 18.What is the missing information?The scale of the drawing is missing, hence we are going to suppose that it is 1 inch = 3 feet.
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Angela purchase a shirt for $14.65 a pair of jeans for $21.99 and she was charged $2.93 tax how much change should she receive if she paid with a $50 bill
Answers
The cost of the shirt = $14.65
The cost of the pair of jeans = $21.99
Tax = $2.93
Amount paid = $50
Change = Amount paid - (Cost of shirt + Cost of jeans + tax)
Change = 50 - (14.65 + 21.99 + 2.93)
Change = 50 - 39.57
Change = $10.43
Translate "the sum of m and 2.33 multiplied by s is 52.25" into an algebraic equation. Do not solve the equation.
Answers
Answer:
[tex](m + 2.33) \times s = 52.25[/tex]
:)
As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor should she multiply both sides of the other equation so that she can add the equations and eliminate a variable?5x + 6y = 182x – 3y = 12factor:
Answers
Given the equations
[tex]\begin{cases}5x+6y=18 \\ 2x-3y=12\end{cases}[/tex]First, she multiplied the second equation by 6:
[tex]\begin{gathered} 6\cdot(2x-3y)=6\cdot12 \\ 6\cdot2x-6\cdot3y=6\cdot12 \\ 12x-18y=72 \end{gathered}[/tex]You have to determine the factor to multiply the equation 5x+6y=18 to be able to add both equations and eliminate one of the variables.
To do so, compare the coefficients of the like terms:
5x and 12x, "12" is not a multiple of 5, so there is no factor that when multiplied by 5x will give 12x as a product.
6y and 18y, 18 is a multiple of 6, if you multiply 6y by 3 the product will be 18y.
So, the factor you have to use to multiply the equation and eliminate one variable is 3.
The area of the scale model of a playground is 6 square yards. The scale model is enlarged by a scale factor of 3 to create the actual playground. What is the area of the actual playground?
Answers
The actual area of the playground is 54 square yards
How to determine the area?The given parameters are
Area of the scale model = 6 square yardsScale factor of dilation = 3The actual area of the playground is calculated as
Actual area = Area of the scale model * Scale factor of dilation^2
Substitute the known values in the above equation
So, we have
Actual area = 6 * 3^2
Evaluate the exponent
Actual area = 6 * 9
Evaluate the product
Actual area = 54
Hence, the value of the area is 54
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