5/ y-7 = 3/ y-5 what is y
Answers
The given expression :
5/ y-7 = 3/ y-5
\(\begin{gathered} \frac{5}{y-7}=\frac{3}{y-5} \\ Apply\text{ Cross multiplication} \\ 5(y-5)=3(y-7) \\ 5y-25=3y-21 \\ \text{Seperate variable and constant term} \\ 5y-3y=25-21 \\ 2y=4 \\ y=\frac{4}{2} \\ y=2 \end{gathered}\)Answer : y = 1
Related Questions
Triangle ABC with vertices at A(-8,-8), B(12,12), C(0,12) is dilated to create triangle A’B’C with vertices at A’(-2,-2) B’(3,3), C’(0,3) determine the scale factor used.
A. 6
B. 1/6
C. 4
D. 1/4
Answers
As a result, A(-8,-8), B(12,12), C(0,12) are the coordinate points of the dilated triangle, which will be A’(-2,-2) B’(3,3), C’(0,3) multiplying by two after dilation with a scale factor of two.
What does Dilation mean?Dilation is a technique for generating analogous figures. By dividing distances by the scale factor, each point is stretched outward from the central point D.
We are given that Triangle ABC with vertices at A(-8,-8), B(12,12), C(0,12) which is dilated to create triangle A’B’C with vertices at A’(-2,-2) B’(3,3), C’(0,3)
For scale factor k and center of dilation (p, q), the transformation;
(x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)
For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed
(x, y) ⇒ (1/4x -9/4, 1/4y +9/4)
Then the preimage points are dilated
A(-8,-8)
⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)
B(12,12)
⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(3, 3)
C(0,12)
⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(0, 3)
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Charity is ordering a sundae at a restaurant, and the server tells her that she can have up to five toppings: chocolate chips, butterscotch sauce, strawberries, a cherry, and hot fudge. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Charity gets just chocolate chips and a cherry? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Number of subsets in a set of n elements:
The number of subsets in a set of n elements, including the empty set, is given by:
\(2^{n}\)
Up to five toppings:
Up to five toppings means that the total number of possibilities is:
\(T = 2^{5} - 1 = 32 - 1 = 31\)
We subtract one to disconsider the option with no toppings.
What is the probability that Charity gets just chocolate chips and a cherry?
Chocolate chips and cherry is 1 subset, so \(D = 1\)
The probability is:
\(p = \frac{D}{T} = \frac{1}{31} = 0.0323\)
1/31 = 0.0323 probability that Charity gets just chocolate chips and a cherry.
Emily walked 5 2/6 miles in the morning and another 3 3/5 miles in the afternoon What was the total distance she walked?
Answers
Answer:
The correct answer would be 8 14/15 miles.
Step-by-step explanation:
You have to get the fractions 5 2/6 and 3 3/5 to a common denominator (30) getting you the fractions 10/30 and 18/30. 10/30+18/30 is 28/30 which can simplify to 14/15. 5+3 = 8 getting you the answer of 8 14/15
A total of 50 randomized samples were assigned into 5 different treatment groups in a pharmaceutical science experiment. Each group includes 10 persons (subjects). In order to test if any difference is discernible among these 5 treatments, one-way ANOVA was conducted for the study. Here are data we calculated: Sum of square between group = 232. Sum of square within group = 400.Subject Treatment 1 Treatment 2 Treatment 3 Treatment 4 Treatment 51 2
---
10ANOVA Summary Table
Source Sum of Square Degree of freedom Mean Square F
Between 232
Within 400
Totala. State null hypothesis and alternative hypothesis. b. Calculate the degree of freedom between group, and the degree of freedom within group. c. Mean squares between groups. d. Mean squares within groups.e. F ratiof. If critical value of F is 2.61, should we reject or accept the null hypothesis?g. State your conclusion for this research.
Answers
The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments
How to calculate the valuesDegree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45
Mean squares between groups is calculated as follows:
Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58
Mean squares within groups is calculated as follows:
Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places
F ratio is calculated as follows:
F= Mean squares between groups/Mean squares within groups
= 58/8.89
= 6.524184477
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Enter the mixed number as an improper fraction.
2 1/4
Answers
Answer:
9/4
Step-by-step explanation:
Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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The Simple interest on $160
for 6 month's at 5% per
annum
Answers
Answer:4$
Step-by-step explanation:
Which angle is an exterior angle of the triangle?
Triangle L M N. Angle L is 1, angle M is 2, angle N is 3. Side M N extends to form angle 4.
A. 1
B. 2
C. 3
D. 4
Answer quick pls
Answers
Answer:
D
Step-by-step explanation:
Because it is on the outside
Answer:
its c becuase i did the test and got it correctomonzo
Step-by-step explanation:
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answers
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
Whats the point slope equation
Answers
Answer:
y-4 = 8/7(x-4)
Step-by-step explanation:
formula is y-y=m(x-x) just substitute the numbers in
Write an explicit rule for the sequence -20, -13.-6, 1,8
Answers
Answer:
Goes down by 7 and 7 is added each time!
Step-by-step explanation:
7 is add to the equation each time!
Hope this helps!
a manufacturer of detergent claims that the contents of boxes sold weigh on average at least 16 ounces. the distribution of weight is known to be normal, with a standard deviation of 0.4 ounce. a random sample of 16 boxes yielded a sample mean weight of 15.84 ounces. test at the 10% significance level the null hypothesis that the population mean weight is at least 16 ounces.
Answers
As there is sufficient evidence to conclude that the population mean weight is at least 16 ounces.
What is standard deviation ?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.
The following null and alternative hypotheses need to be tested
H0 : µ = 16
Hα : µ < 16
This corresponds to a left-tailed test , for which a z-test for one mean, with known population standard deviation will be used.
Based on the information provided, the significance level is α = 0.1, and the critical value for the left-tailed test is \(Z_{c}\) = -1.28
The rejection region for this left-tailed test is R = {z : z < -1.282}
The z-statistics is computed as follow
\(z = \frac{X - µ _{0} }{sigma / \sqrt{n} }\)
= (15.84 - 16) / (0.4 / √16)
= -1.6
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The height of a right triangular prism is 1 5/6 inches each side of the triangular base measures 10 inches and the height of the bases eight2 over 3 inches the triangular prism is place to top of cube whose side measures 10 inches so that one of the triangular prisms bases lies completely on one side of the cube what is the surface area of the solid formed
Answers
The surface area of the solid formed is approximately, 598.3 in².
What is the Surface Area of a Right Triangular Prism?Surface area of the solid is the area covered by the solid all round.
The given parameters are:
Height of the prism (L) = 1 5/6 = 1.83 in.Side of base (s1) = 10 in.Side of base (s2) = 10 in.Side of base (s3) = 8 2/3 = 8.67 in.base (b) = 10Height (h) = 8.67 in.a = 10 in.Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²
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Round 5 2/3 to the nearest whole number then subtract
Answers
this rounds to 6
1 1/4=5/4=1.25
this rounds to 1
6-1=5
help pls? asap. pls and ty :)
Answers
Answer:
a
Step-by-step explanation:
1/2x-30aaaaaaaaaaaaaaaa
Inscribing a circle means to--
*
Label the inside of the circle.
Draw a circle around the outside of a shape.
Create a circle with a specific purpose.
Draw a circle inside a shape.
Answers
Inscribing a circle means to draw a circle inside a shape. the correct option is the last option
Inscribed figureAn inscribed figure is a shape drawn inside another shape. For example, if a circle is drawn inside a square, the circle is said to inscribed inside the square.
Likewise,
If a triangle is drawn inside a circle, the triangle is said to be inscribed inside the circle.
A cyclic quadrilateral is an example of a quadrilateral that is inscribed inside a circle.
Then,
We can conclude that inscribing a circle means to draw a circle inside another shape
Hence, inscribing a circle means to draw a circle inside a shape. the correct option is the last option
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Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri will need [Blank] glass tiles. The dimentions are...26 , 15, 8.
Answers
The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.
What is the Surface Area of a Box?The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.
What is the Surface Area of a Box?SA = 2(lw + lh + hw), where:
l = lengthw = widthh = height of the boxThe image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:
The surface area to be covered = surface area of the box - area of the bottom rectangular face
The surface area to be covered = 2(lw + lh + hw) - (l)(w)
l = 26
w = 15
h = 8
Substitute
The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =
The surface area to be covered = 1436 - 390 = 1,046 cm
Area of one tile = 1 cm square
Number of tiles needed = 1,046/1
Number of tiles needed = 1,046 tiles.
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Marsha wants to put a wallpaper border around her bedroom. How much border will she need if her room is 13 ¾ feet long by 12 ½ feet wide
Answers
Answer:
border, meaning the perimeter would be 52 1/2 ft.
Step-by-step explanation:
(13 3/4 x 2) + (12 1/2 x 2) = 52 1/2
A square garden has an area of 100 square feet. What is the perimeter of the garden? show your work.
Answers
Answer: 40
Step-by-step explanation: 10 • 10 equals 100, so each side is 10. Since a square has 4 sides multiply 4 by 10 which gets you 40.
Perimeter of a square garden is 40.
Here,
A square garden has an area of 100 square feet.
We have to find the perimeter of the square garden.
What is Perimeter of square?
Sum of all four sides of a square is known as Perimeter of a square.
Now,
Let side of a square garden is a.
Area of a square = \(side^{2}\) = \(a^{2}\)
\(a^{2} = 100\)
\(a = 10\)
Hence, Perimeter of a square garden = 10 + 10 + 10 + 10
= 40
So, Perimeter of a square garden is 40.
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You can buy 20 pens for $8 or 30 pens for $10. Which is the better deal?
Answers
Answer: It would be the first one (20 pens for 8$)
Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.
9 tens =
Ones how many ones are in 9 10 tens ?
Answers
Answer:
90
Step-by-step explanation:
There are 10 ones in 1 ten.
So if you have 9 tens then...
10 x 9 = 90
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
Answers
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
Identify an equation in standard form for ellipse with its center at the origin, a vertex at (3, 0), and a focus at (1, 0). Below are the options for the answer. HELP ASAP!!!
Answers
The equation in standard form of the eclipse is expressed as:
D. x²/9 + y²/8 = 1.
How to Write the Equation of an Eclipse in Standard Form?The standard form equation for an ellipse with center at the origin, a vertex at (a, 0), and a focus at (c, 0) is:
x²/a² + y²/b² = 1, where c² = a² - b².
In this case, the center is at the origin, a vertex is at (3, 0), and a focus is at (1, 0).
Since the center is at the origin, we know that a vertex is located a distance of a units to the right and left of the center, so a = 3.
Since the focus is located a distance of c units to the right and left of the center, we know that c = 1.
Using c² = a² - b², we can solve for b²:
1² = 3² - b²
b² = 8
So the equation in standard form is:
x²/9 + y²/8 = 1.
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Owen went to his newborhood convenience store where he bought 25 small packages of allerent kinds of cindy. After counting the candies in his purchase he calculated that he had 100 candies in total A) if each packane kontakter beamount of candy, how many candies were in each package B) Owen decided to give one fifth of the candy that evening to his brother, Clive, Owen saved the wood How many candies did he nive to Clive?
Answers
ANSWER:
A) 4 candies in each package.
B) Owen gave 20 candies to Clive.
STEP-BY-STEP EXPLANATION:
A) We can calculate the amount of candy per package since we know the total amount and the number of packages, then:
\(\frac{100}{25}=4\)which means that there are 4 candies in each package.
B) We can calculate 1/5 of a number by dividing that number by 5. Then Owen gave the following candies to Clive:
\(\frac{100}{5}=20\)What is cos(tan^-1(-2/3))=
Answers
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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Help please!!!!!! As soon as possible
Answers
Find the value of x that makes triangle CDE ~triangle FGH
Answers
Answer: 5
Step-by-step explanation:
4x + 10- 25
Solve the linear system using the elimination method 2x-5y=-3, -x+2y=3
Answers
Answer:
x=-2 y=1
Step-by-step explanation:
Eliminating x by multiplying the second equation by 2 then adding the two equations.
2x+5y=-3
-2x+4y=6
________
0+9y=9
9y=9
y=1
using y=1 to get x in the second equation
-x+4*1=6
-x=2
x= 2
Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Answers
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
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Which is an irrational number?
Answers
Answer: THE SECOND ONE
Step-by-step explanation:
Answer: the second one
Step-by-step explanation: