Answer -4+X/2=7
-4+X=14
X=18
5+Y/2=-9
5+Y=-18
Y=-23
18,-23
Step-by-step explanation:
Answer:
x=18 , y. = -13
Step-by-step explanation:
[tex]\frac{-4 + x}{2} \\[/tex] =7 => x = 18
[tex]\frac{-5 + y}{2\\} \\[/tex] = -9 => y= -13
Need help ASAP please quickly
Answer:
-14
Step-by-step explanation:
I think Also 9 is wrong
Answer:
x = - 14
Step-by-step explanation:
6x - 2 (2x - 6) = - 16 Distributive property
6x - 4x + 12 = - 16 Simplify
2x + 12 = - 16 Subtract 12
2x = - 28 Divide 2
x = - 14
Tumelo has R14600 today to deposit in his account .he has a goal of withdrawing this money at 28000 in 6 years .calculate the interest rate that he should invest his initial amount at,compounded quarterly
The compound interest formula can be used to calculate the interest rate Tumelo should invest his initial amount at.
This formula is represented as follows: FV = PV(1 + r/n) where: FV = future valuePV = present value or initial amountr = interest rate = number of compounding periods in a year and = number of yearsThis formula assumes that the interest is compounded quarterly.
Therefore, we have four compounding periods in a year. Substituting the given values into the formula:FV = PV(1 + r/n)nt28000 = 14600(1 + r/4)^(4*6)28000/14600 = (1 + r/4)^24Dividing both sides by 14600 gives:1.9178 = (1 + r/4)^24Taking the logarithm of both sides gives:
ln(1.9178) = ln[(1 + r/4)^24]Applying the logarithmic rule for exponents gives:
ln(1.9178) = 24ln(1 + r/4)Solving for r gives:r = 4[(1.9178)^(1/24) - 1]r = 0.0362 or 3.62%Therefore, Tumelo should invest his initial amount at an interest rate of 3.62%, compounded quarterly, to achieve his goal of withdrawing R28000 in 6 years.
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Each morning librarians place 560 books on a book shelf in the school library. Each student that visits library that day takes exactly 3 books from this shelf. Let s be the number of students which visit library on a particular day. Let b be the number of books left on the shelf at the end of that day.
a.How does the number of books left on the shelf depend on number of students visiting library? Find formula for the function b(s).
b.There are 150 students studying in this school. Use this information to find the domain of the function b(s).
Answer:
A. The function is -3s+560 Step-by-step explanation:
The point V(2, 3) is translated 8 units left. What are the coordinates of the resulting point,
V(-6,3)
subtract 8 from 2, since it is moving to the left but keep the y the same since it is not translated up or down
A person leaves home and walks 4 miles west, then 5 miles southwest.
How far from home is she?
miles
In what direction must she walk to head directly home?
degrees North of East
The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.
To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).
To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).
To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.
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Need help will give brainliest
The equation formed after the transformations is given as follows:
[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]
How to obtain the function?The parent function in this problem is defined as follows:
[tex]f(x) = \sqrt{x}[/tex]
For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:
[tex]g(x) = \frac{1}{6}\sqrt{x}[/tex]
For the translation left 3 units, we have that x -> x + 3, hence:
[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]
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Please help me. I'm running out of time.:(( solve for X
Answer:
x = 6
Step-by-step explanation:
22x - 4 = 5x + 6 + 92
22x - 4 = 5x + 98
22x - 5x = 98 + 4
17x = 102
x = 6
Hope this helps!
Let me know if I'm wrong :)
5 23 18 8 4
Order of operations
Answer:
no u
Step-by-step explanation:
Answer:
hmm lets see sorry i cant help i wish i could but its been a while
Step-by-step explanation:
Solve for x.
n(17+x) = 34x-r
Answer:
The value of X will be (17N + r)/ (34-N).
N(17 + x) = 34x -r
17N + Nx = 34x - r
Collect the x together.
17N/N + 34x -r
Therefore the answer will be
(17N +r) / (34-N).
Step-by-step explanation:
I hope i helped you : )
Sasha is dividing 1/4 pound of peanuts into 5 plastic bags. What fraction of a pound of peanuts will be in each plastic bag?
Answer:
1/20
Step-by-step explanation:
(1/4)/5= (1/4)/(5/1)
You cross multiply and you get 1/20
9) Benny spent half of his allowance going to the movies. He washed the family
car and eamed 8 dollars. What is his weekly allowance if he ended with
18 dollars?
Answer:
$20
Step-by-step explanation:
He spent half of his allowance going to the movies. Half of 20 is 10. He then washed the family car and earned 8 dollars. You add them together, and you get $18.
His weekly allowance was $20
An aquarium holds 11.35 cubic feet of water, and is 2.6 feet long and 1.1 feet wide. What is its depth? Round your answer to the nearest whole number.
The depth is
feet.
The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).
To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,
which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).
Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.
Substituting these values into the formula for volume,
we get:11.35 = 2.6 × 1.1 × h
Simplifying this expression:
11.35 = 2.86h
Dividing both sides by 2.6 × 1.1,
we get:h ≈ 3.64 feet (rounded to two decimal places)
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Emily was offered a job after college earning a salary of $35,000. She will get a raise
of $2,000 after each year working for the company. Answer the questions below
regarding the relationship between salary and the number of years working at the
company.
, and the
The independent variable, x, represents the
dependent variable is the
depends on the
because the
A function relating these variables is C(x)
So C(4)
meaning 4
Answer:
Step-by-step explanation:
Salary offered to Emily after college = $35000
Rise in her salary = $2000 every year
Let she works for x years in the company,
Salary rise in her salary = $2000x
Total salary after x years = $(35000 + 2000x)
The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.
A function these variables is C(x) = 35000 + 2000x
So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form. PLEASE HELP!!!
Answer:
2/4 is filled, you have to turn 1/2 into 2/4 by doing (1x2)/(2x2), tha't how my teacher once told me
I have a different number of kids & can't seem ton find the correct numbers
Lee and Fred are elementary school teachers. Fred works for a charter school in Pacific Palisades, California, where class size reduction is a goal for 2019. Lee works for a noncharter school where funds do not allow for class size reduction policies. Lee’s fifth-grade class has 1.1 times as many students as Fred’s.
If there are a total of 42 students, how many students does Fred’s class have?
If there are a total of 42 students, how many students does Lee’s class have?
=============================================================
Work Shown:
L = number of students in Lee's class
F = number of students in Fred's class
Lee has 1.1 times as many students compared to Fred
This means we have this equation
L = 1.1F
Whatever the value of F is, we multiply that by 1.1 to get the value of L
The two amounts L and F add to 42 total students
L+F = 42
1.1F + F = 42 .... replace L with 1.1F
2.1F = 42
F = 42/(2.1)
F = 20 .... Fred has 20 students
L = 1.1*F
L = 1.1*20
L = 22 .... Lee has 22 students
------------
Check:
L+F = 22+20 = 42
this confirms the answer
Which expression represents h(x)?
(f. g)(x)
(g + f)(x)
(f- g)(x)
(g - f)(x)
Answer: (f×g)(x)
Step-by-step explanation:
12×-6= -72
3×0= 0
-6×6= -36
So h(x) is equal to (f×g)(x)
The model represents an equation.
х
What is the solution for this equation?
Answer:
dividend
Step-by-step explanation:
783389$98_;8282(4((_
Use the Law of Sines or the Law of Cosines to solve each triangle.
(DRAW TRIANGLES ON YOUR WORKSHEET - IT WILL HELP!)
Round all angle measures to the nearest tenth of a degrees and side lengths to the nearest tenth.
The law of sines and the law of cosines are used to solve triangles. These formulas aid in finding the missing angle or side of a triangle based on the known side lengths and angle measures.A triangle has three sides and three angles. If we know all three sides and all three angles, we can find everything there is to know about that triangle. Unfortunately, this is rare.
We can use the law of sines or the law of cosines to solve a triangle if we know some, but not all, of the side lengths and angle measures.The law of sines, abbreviated L.S., is a formula that relates the side lengths and angles of a triangle. The L.S. formula is as follows:
a/sin A = b/sin B = c/sin C. In this formula, a, b, and c are the lengths of the sides of a triangle, while A, B, and C are the angles opposite those sides. Any two ratios in this formula can be utilized to solve for the third.The law of cosines, abbreviated L.C., is a formula that relates the side lengths and angles of a triangle. The L.C. formula is as follows: a^2 = b^2 + c^2 - 2bc cos A (similarly for the other sides).
In this formula, a, b, and c are the lengths of the sides of a triangle, while A, B, and C are the angles opposite those sides. This formula may be used to solve for one of the missing side lengths or one of the missing angles of the triangle if we know the length of two sides and the angle between them.
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Alex purchased a phone card for $30. He has used t minutes of access time
at 10 cents per minute. To write an algebraic expression to represent how
many dollars Alex has left on his card, fill in the boxes
Answer:
30- 0.1t
Hope it helps!
ased on the data shown below, calculate the correlation coefficient (rounded to three decimal places)
x y
4 12.82
5 13.05
6 16.08
7 16.31
8 14.14
9 17.07
10 15.8
The correlation coefficient is 0.505 rounded to three decimal places.
The correlation coefficient is a statistic that determines the relationship between two variables, X and Y.
It is used to determine the strength and direction of the relationship between the two variables.
The correlation coefficient ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation.
The formula for the correlation coefficient is:
r = [n(∑xy) - (∑x)(∑y)] / [√{n(∑x²) - (∑x)²} × √{n(∑y²) - (∑y)²}]
where n is the number of observations, x and y are the two variables, ∑xy is the sum of the product of the two variables, ∑x and ∑y are the sums of the two variables, ∑x² and ∑y² are the sums of the squares of the two variables
Using the formula, the correlation coefficient can be calculated as follows:
Given the following data:10 15.8
Calculating the necessary sums
∑x = 10∑y = 15.8∑xy = (10)(15.8) = 158∑x² = 100∑y² = 249.64
Using the formula:
r = [n(∑xy) - (∑x)(∑y)] / [√{n(∑x²) - (∑x)²} × √{n(∑y²) - (∑y)²}]
r = [2(158) - (10)(15.8)] / [√{2(100) - (10)²} × √{2(249.64) - (15.8)²}]
r = [316 - 158] / [√(200) × √(467.68)]
r = 158 / [14.1421 × 21.6266]r = 0.505
The correlation coefficient is 0.505 rounded to three decimal places.
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12a = 4 what is a HELP ME PLZ
Answer:
a = 1/3
Step-by-step explanation:
a = 4/12
4/12 simplifies to 1/3
Suppose you have a $1,350 charge on a credit card charging 1.5% monthly interest using the adjustable balance method. The minimum payment due in May is $45. How much will you save in interest charges in June by paying $90 instead?
Paying $90 instead of the minimum payment of $45, you would save $1.35 in interest charges in June
To calculate the interest charges in June, we need to understand how the adjustable balance method works. This method calculates interest based on the average daily balance for the billing cycle.
Step 1: Calculate the average daily balance for May. To do this, we need to know the number of days in May and the balance on each day. Let's assume May has 31 days. Since the balance remains constant at $1,350, the average daily balance for May is $1,350.
Step 2: Calculate the interest charges for May. Multiply the average daily balance by the monthly interest rate. In this case, the interest charges for May would be $1,350 * 0.015 = $20.25.
Step 3: Calculate the interest charges for June. Assuming the balance remains the same at $1,350, the average daily balance for June would also be $1,350.
Step 4: Calculate the interest charges for June with a payment of $90. To do this, we need to subtract the payment from the average daily balance for June. In this case, the adjusted balance would be $1,350 - $90 = $1,260.
Step 5: Multiply the adjusted balance by the monthly interest rate to calculate the interest charges for June. In this case, the interest charges for June would be $1,260 * 0.015 = $18.90.
Step 6: Calculate the savings in interest charges. To find the difference in interest charges, subtract the interest charges for June with the $90 payment from the interest charges for June with the minimum payment. In this case, the savings in interest charges would be $20.25 - $18.90 = $1.35.
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While playing volleyball , Ralph drank 3/4 of a jug of water if the jug held 64 fluid ounces of water how much did Ralph drink
Answer:
48
Step-by-step explanation:
To find one fourth, I divided 64 by 4, which gave me 16. Then, to find 3/4, I multiplied 16*3, which is 48.
Answer:
the answer is 48
Step-by-step explanation:
48 floz
unit rate of 3 1/4 miles in 1 1/4 hours
Answer:
13/5 mi/hr, or 2 3/5 mi/hr
Step-by-step explanation:
Here we want the rate in "miles per hour."
Obtain this as follows:
3 1/4 miles 13/4 mi
------------------- = --------------- = 13/5 mi/hr, or 2 3/5 mi/hr
1 1/4 hours 5/4
classify the lines represented by the equations -x+2y=8 and -3x+y=1 as perpendicular parallel or neither
Answer:
Step-by-step explanation:
Neither - one intersection
E = IR to solve for R
Answer:
R = E/I
Step-by-step explanation:
Step 1: Write equation
E = IR
Step 2: Divide both sides by I
E/I = R
Step 3: Rewrite
R = E/I
The formula for the volume of a sphere is V = 4/3 pie3 . What is the formula solved for r ?
The formula for the radius (r) of a sphere, given the volume (V), is [tex]r = \sqrt[3]{ \frac{3V} {4\pi} }[/tex].
To solve the formula for the volume of a sphere, [tex]V = \frac 43 \pi r^3[/tex], for r, we'll follow these steps:
1. Begin with the formula for the volume of a sphere: [tex]V = \frac 43 \pi r^3[/tex].
2. Multiply both sides of the equation by (3/4) to isolate π[tex]r^3[/tex]:
[tex]\frac34V = \pi r^3[/tex].
3. Divide both sides of the equation by π to obtain the expression for r^3:
[tex]r^3 = \frac34 \frac V\pi[/tex].
4. To solve for r, take the cube root of both sides of the equation:
[tex]r = \sqrt[3]{ \frac{3V} {4\pi} }[/tex].
Therefore, the formula solved for r is [tex]r = \sqrt[3]{ \frac{3V} {4\pi} }[/tex]. This formula allows you to calculate the radius of a sphere when the volume (V) is given.
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what is the least common multiple of 4 and 9
Answer:
36
Step-by-step explanation:
Least common multiple (LCM) of 4 and 9 is 36. LCM(4,9) = 36. Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Hope this helps :)
The LCM or least common multiple of 4 and 9 is 36.
What is LCM?Least common multiple of any two is the value that is evenly divisible by the two given numbers.
Given is to find the least common multiple of 4 and 9.
The least common multiple of 4 and 9 is 36.
Therefore, the LCM or least common multiple of 4 and 9 is 36.
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Are the ratios 1:2 and 3:14 equivalent?
Answer:
no they aren't
Step-by-step explanation:
no they aren't because ..........;)
Twice a number decreased by 8 by 12 is 2 less than half the number what is the number?
