Answers
Answer:
-80
Step-by-step explanation:
First you multiply both sides of the equation by 5 to get rid of the fraction, it becomes Y + 30 = -50.
To get rid of the 30 you subtract 30 from each side and that makes it Y = -80.
Your answer does not want the Y=, so your answer is -80.
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Related Questions
Yessenia simplified an expression as shown below:
Answers
Answer:
Step 1
Step-by-step explanation:
Yessenia should have distributed 3 to (x+4) as her first step.
her steps should have been as follows:
x+6+3(x+4)
x+6+3x+12
re write: x+3x+6+12
4x+18
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be less than 526.4 minutes? Round your answer to four decimal places.
Answers
The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
The variance = 2916,
The mean life of a battery, m = 518 min,
The total number of samples, n = 81
Calculate the probability of a mean battery life of lower than 526.4 minutes by the following formula,
z = x - m / (σ / √ n)
Here, x is the expected value, σ is the deviation, and z is the probability.
Substitute the values,
z = 526.4 - 518 / (54 / √81) [σ = √ variance = √2916 = 54]
z = 1.4
Consult the cumulative standard normal table
P (z < 526.4) = 0.9192,
But we know that
P (z > 526.4) = 1 - P (z < 526.4)
P (z > 526.4) = 1 - 0.9192 = 0.0808
Therefore, The probability that the mean battery life would be greater than 526.4 minutes if in a sample of 81 batteries having a variance of, 2916 and a mean life of 518 minutes is 0.0808.
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the sum of two numbers is 20 and their difference is 6. what are the two numbers?
Answers
7+13=20
13-7=6
Answer:
13 and 7
Step-by-step explanation:
13 - 7 = 6
13 + 7 = 20
hope this helps...
sally bought the pizza shown above for lunch which was cut into 10 equal slices what percentage of the pizza did sally and her friend eat if they ate three pieces
Answers
Answer:
30% of the pizza was eaten
Step-by-step explanation:
10 pieces = 100%
they ate 3 soooo 30%
Answer:
90%
Step-by-step explanation:
Puan Yani has RM24 700 in her saving account. Her husband has RM75 300 more money than Puan Yani. At the end of May, Puan Yani deposited RM1 300 in her account. What is the total savings they have now?
Answers
The total savings that the couple Puan Yani and her husband have now is A) RM126,000.
How the total savings are computed:The total savings of the couple can be determined by addition.
Addition is one of the four basic mathematical operations, including subtraction, divsion, and multiplication.
Let the amount that Puan Yani has in her savings account, a = RM24,700
Let the amount that her husband has than Puan Yani = RM75,300
The total amount that her husband has = a + 75,300
= RM100,000 (R24,700 + RM75,300)
The additional amount that Puan Yani deposited at the end of May = RM1,300
The total amount that Puan Yani has in her savings account at the end of May = RM26,000 (RM24,700 + RM1,300)
The total savings in the couple's accounts = RM126,000 (RM100,000 + RM26,000)
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12) What is the place value of this decimal? * 2.45 O Ones Tenth's O Hundreth's O Thousandth's
Answers
The place value of the decimal is the hundredth's place.
Answer:
The place value is the tenths.
Step-by-step explanation:
2.45: Tenths
2.045: Hundreths
2.0045: Thousandths
Lashonda ran three times last week. Here are the distances she ran (in kilometers).
12.29, 9.12, 19
What is the total distance Lashonda ran on these three days?
Answers
The solution is 40.41 kilometers
The total distance ran by Lashonda for 3 days in the week is 40.41 km
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 equation be represented as A
Now , the value of A is
Let the distance ran by Lashonda on the first day be = x
The value of x = 12.29 km
Let the distance ran by Lashonda on the second day be = y
The value of y = 9.12 km
Let the distance ran by Lashonda on the third day be = z
The value of z = 19 km
Now , the total distance ran by Lashonda = x + y + z
Substituting the values in the equation , we get
The total distance ran by Lashonda for 3 days in the week A = x + y + z
The total distance ran by Lashonda for 3 days in the week
A = 12.29 + 9.12 + 19
The total distance ran by Lashonda for 3 days in the week A = 40.41 km
Therefore , the value of A is 40.41 kilometers
Hence , total distance ran by Lashonda is 40.41 km
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divide the polynomials x^2-10,000/x-100
Answers
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
NO LINKS!! Part 2: Please help me with this problem
Answers
Answer:
a) 160 meters short
b) d = 200x +80y
c) (run, walk) = (2, 15), (4, 10), (6, 5)
d) see attached
Step-by-step explanation:
You're being asked to write an equation describing the gym class requirement, and to find several values of the variables that satisfy the equation.
It is convenient to write the equation first (part b).
__
b)At 200 meters per minute, in x minutes, Eric will run 200x meters. At 80 meters per minute, Eric will walk 80y meters in y minutes. His total distance covered will be ...
d = 200x +80y
__
a)In the given times, Eric's distance covered is ...
d = 200(4) +80(8) = 800 +640 = 1440 . . . meters
Eric is 160 meters short of the 1600-meter goal.
__
c)It is convenient to simplify the equation to one that lets us find one value in terms of the other.
200x +80y = 1600
5x +2y = 40 . . . . . . . . divide by 40
This will have integer solutions for even values of x in the range 0 to 8.
y = (40 -5x)/2
For x={2, 4, 6}, we have ...
y = (40 -5{2, 4, 6})/2 = {30, 20, 10}/2 = {15, 10, 5}
Eric can cover 1600 meters in (run, walk) times of ...
(run, walk) = (2, 15), (4, 10), (6, 5)
__
d)The graph is attached. We'll let you read as many values from it as you may wish.
Brandon owes his brother $100. He will repay his brother $5 each week. Which expression gives the amount in dollars Brandon will still owe his brother after n weeks?
A - 5−100n
B - 100−5n
C - 5n−100
D - 100n−5
Answers
Answer:
B 100-5n
Step-by-step explanation:
Always glad to help.
Find 2 numbers if their difference is 16 and their ratio is 5:7
Answers
Answer:
40 and 56.
Step-by-step explanation:
x - y = 16 where x is the greater number
If the ratio is 5:7 one number must be 7/12 of the total of the 2 numbers, so:
x = 7/12(x + y)
From first equation x = y + 16, so substituting for x:-
y + 16 = 7/12( 2y + 16)
Multiplying through by 12:
12y + 192 = 7(2y + 16)
12y + 192 = 14y + 112
2y = 192 - 112 = 80
y = 40
So x = 40+ 16 = 56.
Answer:
The numbers are:
56 and 40
Step-by-step explanation:
a - b = 16 eq. 1
5a = 7b eq. 2
from eq. 1:
a = 16 + b
relacing this last eq. in eq. 2
5(16+b) = 7b
5*16 + 5*b = 7b
80 + 5b = 7b
80 = 7b - 5b
80 = 2b
80/2 = b
40 = b
From eq. 1
a - b = 16
a - 40 = 16
a = 16 + 40
a = 56
Check:
from eq. 2:
5a = 7b
5*56 = 7*40 = 280
6 x (12-2) + 2 to the power of 2
Answers
Answer:
84x
Step-by-step explanation:
In triangle FGH, m∠F=59°
and m∠H=77
Complete the equation to determine m∠G
Answers
Answer: 44 degrees
Step-by-step explanation: 59+77+x=180
x=44
Diane has $200 in a savings account that earns 10% annually. The interest is not
compounded. How much will she have in total in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r
is the interest rate expressed as a decimal, and t is the time in years.
Answers
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$200\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (200)(0.10)(1) \implies I = 20~\hfill \underset{total~amount~in~savings}{\stackrel{200~~ + ~~20}{\text{\LARGE 220}}}\)
Answer:
$ 220
Step-by-step explanation:
i = prt = 200 * .1 * 1 = 20 dollars interest
add in her original deposit of 200 for a total of 220 dollars
Which is equal to 3 x 2-4
Answers
Answer:
2
Step-by-step explanation:
Answer:
the correct answer is 2
Step-by-step explanation:
hope you have a great day -TJ
may i pls have brainliest thank you
Selling Price = $ 504 and Gain % = 12%
Answers
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
Answers
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean value of the 40 houses is less than $500,000 . show your work
Answers
a. Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
a. The mean of the distribution is given as $403,000 and the standard deviation is $278,000.
To estimate the probability that a randomly selected house has a value less than $500,000:
P( x < 500,000)=P(x=0)+P(x=500)
=0.34+0.37+
=0.71
Thus, the probability that a randomly selected house has a value less than $500,000 is 0.71
b. -since 40 is larger than or equal to 30, we assume a normal distribution.
-The probability can therefore be calculated as:
P(x')=P( z < (x' -u)/σ.sqrt(n)))
P(z< (500-403)/(578sqrt(40)))
=P(z<2.2068)
=0.986336
Hence, the probability that the mean value of the 40 houses is less than $500,000 is 0.9863
The complete question is -
a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected house is valued at less than $500,000. Show your work.
(b) Suppose a random sample of 40 houses are selected from the city. Estimate the probability that the mean value of the 40 houses is less than $500,000. Show your work.
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-22 + (-10) + 15 I don’t know how to solve this problem
Answers
The answer is - 17
here, we have to apply BODMAS rule
given ,- 22 + (10) = 15
= - 22 - 10 + 15
= -32 + 15
= - 17
BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.
B=Brackets
O=Off
D=Division
M=Multiplication
A=Addition
S=Subtraction
Achilles is a mathematician who invented BODMAS. It is a mnemonic that helps us remember how to evaluate mathematical operators in a mathematical statement involving more than one mathematical operation.The four basic Mathematical rules are addition, subtraction, multiplication, and division.
Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.
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Sasha has many soccer fields to mow. She spent 7 hour mowing 11 soccer fields. Find the unit rate of hours per soccer field to find out how long it takes Sasha to mow each soccer field.
Answers
Answer:
it would take approximately 38ish minutes. He takes 38 minutes a field
Step-by-step explanation:
Which fraction is greater 7 out of 11 or eight out of 11
Answers
Answer:
8 out of 11
Step-by-step explanation:
what is angle relationships
Answers
Answer:
Angle Relationships. The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met. ... The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are always equals
Answer: angle relationships. The amount of space between two straight lines that have a common end point is called angle. Two angles can be related if certain conditions are met. … The angles opposite each other when two lines cross. In the figure, the 1 and 3 are vertically opposite angles and they are ALWAYS angles!
Step-by-step explanation: I hope this helps have a uwu day or a great day! ✍(◔◡◔)
generate a continuous and differentiable function f(x) with the following properties: f(x) is decreasing at x=−6 f(x) has a local minimum at x=−3 f(x) has a local maximum at x=3
Answers
Answer:
HURRYYYY PLEASE HELP ME T-T
Step-by-step explanation:
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Find the volume of the figure. 6 cm. 6 cm. 1 8 cm. 10 cm. Volume of the prism cm3
Answers
The volume of the pyramid is 144 cm³
Explanations:The volume of a prism is given by the formula:
V = BH
where B is the base area
and H is the height
The base of the the pyramid is the lateral triangle, and the area is given by the formula:
B = 0.5 x b x h
b = 8 cm
h = 6 cm
B = 0.5 x 8 x 6
B = 24 cm²
The volume is then:
V = BH, where H = 6 cm
V = 24 x 6
V = 144 cm³
Which description compares the domains of Function A and Function B correctly? Function A: f(x)=logx Function B: A square root function graphed on a grid in Quadrant One, with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The function, labeled g of x, contains a filled in point at begin ordered pair one comma zero end ordered pair and passes through begin ordered pair eight comma two end ordered pair as a smooth curve while extending to infinity. Responses The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of both functions is the set of real numbers.
Answers
The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.
What is a function?
A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.
The domain of a function refers to the set of all possible input values for which the function can produce an output.
In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.
In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.
This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.
It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.
Therefore, the correct statement is A.
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The "P" in 20Pg represents a:
Answers
Answer:
The ”P”in 20Pg represents
A.Permutation
write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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HELP WILL GIVE BRAINLIEST AND DON’T TAKE THE POINTS IF YOU DON’T KNOW IT
Answers
Since 1 inch=35 miles and there are 2.5 inches...
35 times 2 = 70
35/2= 17.5
70+17.5= 87.5
Hope this helps ☺️
A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Answers
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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Can someone help me with this please?
Answers
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.