19=15w-4(3w-1)
What is the answer to this problem
Answers
Answer:
w=5
Step-by-step explanation:
First you have to write out the equation. Then you distribute negative 4 to 3w then you distribute -4 to -1 you get 4. Then you need to combine like terms and you get 3W. then you need to subtract four from each side you get 15 equals 3W then divide aside by three and you get W equals five
Related Questions
Convert 5/16 to a decimal using long division
Answers
Answer: 0.3125
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
Suppose that a code consists of 5 digits, none of which is repeated. ( A digit is one of the 10 numbers 0,1,2,3,4,5,6,7,8,9.) How many codes are possible?
Answers
Answer:
30240
Step-by-step explanation:
There are two primary ways to approach this problem - the logical and the mathematical.
The logical way is very simple:
Since you know that there are 5 digits and each must be different, start with the first digit and work your way up.
The first digit can be any of 10 digits (0–9).
However, the second digit can be any of only 9 digits as 1 digit has already been used and cannot be repeated.
Similarly, applying the same logic, there are only 8 options for the third digit, 7 for the fourth digit, and 6 for the fifth and final digit.
Now, multiply all these numbers together to get the total number of configurations like so:
10⋅9⋅8⋅7⋅6=30240
The more mathematically inclined way requires the use of a special formula. Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:
P(n,r)=n!(n−r)!
where n is the number of numbers in the set and r
is the subset.
Since there are 10 digits to choose from, we can assume that n=10
.
Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r=5
.
Now, plug these values into the formula and solve:
=10!(10−5)!
=10!5!
=10⋅9⋅8⋅7⋅6
=30240
Is 3a a term for expressions
Answers
Answer:
yes
Step-by-step explanation
because it is an algebraic expression. 3a + a are called like terms because they both contain the same letter. To simplify an expression we collect together like terms. You can only add or subtract when the letters are the same.
When Elmer empties his bank, he found 17 pennies, 4 nickels, 5 dimes, and 2 quarters. What was the value of the coins in his bank?
Answers
Elmer's bank contained coins totaling $1.37, calculated by summing the value of each type of coin separately.
Explanation:To find the total value of the coins in Elmer's bank, we need to calculate the value of each type of coin separately and then sum them up. The value of coins is counted based on their denomination, with pennies being worth 1 cent, nickels 5 cents, dimes 10 cents, and quarters 25 cents.
Pennies: 17 pennies × 1 cent = 17 centsNickels: 4 nickels × 5 cents = 20 centsDimes: 5 dimes × 10 cents = 50 centsQuarters: 2 quarters × 25 cents = 50 centsAdding these amounts gives us a total value of 17 + 20 + 50 + 50 = 137 cents. Therefore, the value of the coins in Elmer's bank is $1.37.
The value of the coins in Elmer's bank is $2.17.
17 pennies = $0.17
4 nickels = $0.20
5 dimes = $0.50
2 quarters = $0.50
Adding these amounts together: $0.17 + $0.20 + $0.50 + $0.50 = $2.17.
Will Mark as Brainliest whoever answers first
Answers
A ball is dropped off the side of a bridge. after falling 1.55 s, what is its velocity?
Answers
Use the basic kinematic equation of
Final velocity = initial velocity + acceleration * time (shown in image)
simply plug the numbers in to get
Velocity(final) = 0 + -9.80 m/s^2 * 1.55 s
to give us
-15.19 m/s for our final velocity
Expression equivalent to 5(3m + n)
Answers
Answer:
Step-by-step explanation:
5(3m + n) = 15m + 5n
Final answer:
The expression equivalent to 5(3m + n) is found by applying the distributive property, resulting in 15m + 5n, where the 5 is multiplied by each term inside the parentheses.
Explanation:
The expression 5(3m + n) is an example of the distributive property in algebra. To find an expression equivalent to this, we need to distribute the 5 across the terms inside the parentheses. This means we multiply 5 by each term inside the parentheses.
Multiply 5 by 3m, which gives us 15m.Multiply 5 by n, which gives us 5n.Putting these two results together, the equivalent expression is 15m + 5n. This is a straightforward application of the distributive property, which is a fundamental concept in algebra.
Liam has $7.50 How much does liam earn in a 35 hour work week (gross pay without benefits)
Answers
Answer:
7.50*35=262.50
Step-by-step explanation:
Which of the following equations represents a line that is parallel to y = 3x +2
and passes through the point, (1, 6)?
O A. y = 3x +6
O B. y = 3x +9
O c. y=-3x+2
O D. y = 3x+3
Answers
because of step by step
The correct equation of the new line parallel to y = 3x + 2 and passing through (1, 6) is y = 3x + 3.
Explanation:To find the equation of the line that is parallel to the given line y = 3x + 2 and passes through the point (1, 6), we first need to acknowledge that parallel lines have the same slope.
Therefore, the slope of the new line will also be 3. We can use the point-slope form of the equation y - y1 = m(x - x1) to find the equation. Substituting the given point into the equation, we get y - 6 = 3(x - 1).
Simplifying the equation, we find y = 3x + 3. So, the equation of the line that is parallel to the original line and passes through the given point is y = 3x + 3.
Does the graph represent a function? Yes or NO
Answers
a total of 345 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?
Answers
Answer:
115
Step-by-step explanation:
a + s = 345
s = 2a
a + 2a = 345
3a = 345
a = 345/3
a = 115 <===== adult tickets
s = 2a
s = 2(115)
s = 230......student tickets
Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61,600, how much does Tina pay in state income tax?
Answers
$ 2772 is paid in state income tax
Solution:
Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income
Federal taxable income = $61,600
To find: Amount paid by Tina in state income tax
Tax rate = 4.5 %
Which means, 4.5 % of $61,600 is paid as tax
[tex]Tax\ Rate = 4.5 \% \text{ of } 61600[/tex]
Here, "of" means multiplication or product
[tex]Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772[/tex]
Thus $ 2772 is paid in state income tax
4.5% of 61,600
0.045(61,600) = 2772
When graphing two systems the break even point:
A. is the point of intersection of the two lines
B. includes the points greater than the line
C. includes points less than the line
Answers
Complete the statements about the cone.
-The height is___
units.
-The radius is___
units.
-The volume is___
Pi cubic units.
Answers
Answer:
The height is 6 units.
The radius is 8 units.
The volume is 128 Pi cubic units
Step-by-step explanation:
The height is 6 units.
Use Pythagorean Theorem to find the radius.
6² + x² = 10²
36 + x² = 100
-36 -36
x² = 64
x = 8
V = πr²h/3
V = π(8)²6/3
V = π(64)2
V = 128π
Answer:
6,8,128
Step-by-step explanation:
2(x−3)=(x−1)+7
x = ___
Answers
Answer:
x=12
Step-by-step explanation:
Answer:
x = 12
Add 6 to both sides, simplify then subtract x from both sides
At a local fitness center, members pay a $12 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answers
For 12 number of aerobics classes, cost for members and nonmembers is same
Solution:
Let "x" be the number of aerobic classes
At a local fitness center, members pay a $12 membership fee and $3 for each aerobics class
Therefore,
Members pay = 12 + 3(number of classes)
Members pay = 12 + 3x ------- eqn 1
Nonmembers pay $4 for each aerobics class
Nonmembers pay = 4x ------- eqn 2
For cost for members and nonmembers be the same, eqn 1 must be equal to eqn 2,
12 + 3x = 4x
4x - 3x = 12
x = 12
Thus for 12 number of aerobics classes, the cost for members and nonmembers will be same
e^2x + 3e^x - 18 = 0
Answers
a^2 + 3a - 18 = 0
(a - 3)(a + 6) = 0
a = 3, -6
e^x = 3, -6 (rejected as -6 <0)
x = ln3
Solving e²ˣ + 3eˣ- 18 = 0 involves substituting y = ex to transform it into a quadratic equation. Solving this quadratic equation yields a valid solution, y = 3, leading to x = ln(3). Therefore, the solution is x = ln(3).
To solve the equation e²ˣ + 3eˣ- 18, we perform a substitution to convert it into a quadratic form.
Let y =eˣ. Then the equation becomes:
y² + 3y - 18 = 0.This quadratic equation can be solved using the quadratic formula:y = (-b ± √(b² - 4ac)) / 2a.Substitute a = 1, b = 3, and c = -18 into the formula:
y = (-3 ± √(32 - 4×1×(-18))) / (2×1) = (-3 ± √(9 + 72)) / 2 = (-3 ± √81) / 2 = (-3 ± 9) / 2.
This gives us two solutions for y:
y = 3 and y = -6.Since y = eˣ, and eˣ must be positive:
y = -6 is not valid. Thus, y = 3.Finally, solve for x:
eˣ = 3 ⟹ x = ln(3).Therefore, the solution to the equation e²ˣ + 3eˣ- 18 = 0 is x = ln(3).
Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]y=\sqrt[3]{x+3}+3[/tex]
Step-by-step explanation:
The S-shaped curve is that of the cube root function (choices C or D). The parent function has its critical point at the origin. Here, that has been moved 3 units left and 3 units up.
Replacing x with x-a will move a function's graph to the right by "a" units. Here, we have a=-3, so we expect to see ∛(x-(-3)) = ∛(x+3). The graph of that is moved up 3 units by adding 3 to the function value. This gives ...
y = ∛(x+3) +3 . . . . . matches choice D
What is the value of x?
5 cm
3 cm
Enter your answer in the box
40 cm
2x + 10
Answers
Answer: 7cm
Step-by-step explanation:
Answer: the answer is 7
Step-by-step explanation:
A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.
The sphere has a diameter of 8 in.
The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi inches cubed.
The sphere has a diameter of 32 in.
The radius’s length is one-half the length of the diameter.
The volume of the sphere is StartFraction 16,384 Over 3 EndFraction pi inches cubed.
The diameter’s length is one-half the length of the radius.
Answers
Answer:
The sphere has a diameter of 32 in. CORRECT: the diameter of a sphere doubles its radio, so if the radio equals 16,the diameter measures the double, in this case, 32.The radius' lenght is one half the length of the diameter. CORRECT: , by definition, the diameter is the maximum distance between two opposite points on the surface of the sphere, and its lenght equals twice the radius because the radius is the distance between the center of the sphere and any point of the frontier of the sphere (then, one colud imagine that the distance between two opposite points in a sphere can be united by two radius, or a diameter).The volume (V) of a sphere can be calculated as [tex]\frac{4\pi r^3}{3}[/tex], where r is the radio. In this case, the volume of the sphere will be [tex]\frac{4\pi\times16^3}{3}=\frac{4\pi\times4096}{3}[/tex], which is also equal to [tex]\frac{16384\times\pi}{3}[/tex].Answer:
The True statements are:
The sphere has a diameter of 32 in.
The radius’s length is one-half the length of the diameter.
The volume of the sphere is StartFraction 16,384 Over 3 EndFraction pi inches cubed.
Step-by-step explanation:
The sphere has a diameter of 8 in. FalseThis is false because a radius is half of a diameter. Half of the given diameter of 8 in is 4 in whereas the radius in the question is 16 in.
The volume of the sphere is StartFraction 2,048 Over 3 EndFraction pi inches cubed. FalseThis is false because the volume of the sphere is 4πr³/3 = (16,384/3) π cubic inches.
The sphere has a diameter of 32 in. TrueThis is True because a radius is half of a diameter. Half of the given diameter of 32 in is 16 in and the radius in the question is also 16 in.
The radius’s length is one-half the length of the diameter. TrueThis is True because a radius is half of a diameter
The volume of the sphere is StartFraction 16,384 Over 3 EndFraction pi inches cubed. TrueThis is True because the volume of the sphere is 4πr³/3 = (16,384/3) π cubic inches.
The diameter’s length is one-half the length of the radius. FalseIt is the radius’s length that is one-half the length of the diameter
Graph the line that has a slope of 1/9 and includes the point (0,8)
Answers
Answer:
Step-by-step explanation:
y = mx + b
slope(m) = 1/9
y int (b) = 8.....or (0,8)
y = 1/9x + 8.....this is ur equation
ur x intercept is : (can be found by subbing in 0 for y
0 = 1/9x + 8
-1/9x = 8
x = 8 * -9
x = - 72....or (-72,0)
The equation of line is y = ( 1/9 )x + 8
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is given by
The slope of the line m = 1/9
So , Slope m = 1/9
The point on the line is given by P = P ( 0 , 8 )
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 8 = ( 1/9 ) ( x - 0 )
y - 8 = ( 1/9 ) x
On simplifying the equation , we get
Adding 8 on both sides of the equation , we get
y = ( 1/9 )x + 8
Therefore , the value of A is y = ( 1/9 )x + 8
Hence , The equation of line is y = ( 1/9 )x + 8
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Round 37,748 to the tens
Answers
Answer:
37750
Step-by-step explanation:
Susan uses a credit card with an APR of 22.2%. What is the monthly percentage rate on the card?
Answers
Answer:
1.85 %
Explanation:
APR refers to the "Annual Percentage Rate." This refers to the rate that is being charged to the borrower on a yearly basis.
It is very easy to get the monthly percentage rate once you know the APR. All you have to do is to divide the APR by the total number of months.
In the situation above, we just have to divide the APR of 22.2% by 12 (number of months on one year).
22.2% ÷ 12 months = 1.85 % per month (this is the monthly percentage rate on the card. Thus, this is the answer.Simplify 15 × 1316 in decimal form
Answers
Answer:
i multiplied them together and the result is 19740 but in decimal it would be 19740.0
Final answer:
To simplify 15 × 1316, you multiply to get 19740, which is rounded to 19700 when limited to three significant figures.
Explanation:
To simplify the expression 15 × 1316 in decimal form, you need to perform basic multiplication. Multiplying 15 times 1316 gives you a result of 19740.
However, to express this answer in terms of significant figures, specifically limiting to three significant figures, you would round this number to 19700, as the number 740 does not contribute to the first three significant digits.
The variable x represents the number of long sleeve shirts Nancy bought and the variable y represents the number of short sleeve shirts she bought.
Nancy bought 531 shirts for her business. She bought 2 times as many short sleeve shirts as long sleeve shirts.
How many of each type of shirt did she buy?
Answers
Final answer:
Nancy bought 177 long sleeve shirts and 354 short sleeve shirts for her business by solving a system of linear equations based on the provided constraints that she bought a total of 531 shirts and twice as many short sleeve shirts as long sleeve shirts.
Explanation:
The student's question involves solving a system of linear equations to find out how many of each type of shirt Nancy bought for her business. Following the given relationships between long sleeve shirts (x) and short sleeve shirts (y), we understand that Nancy bought a total of 531 shirts and that she bought twice as many short sleeve shirts as long sleeve shirts. The two equations that can represent this scenario are:
Equation 1: x + y = 531
Equation 2: y = 2x
To solve this system, we substitute Equation 2 into Equation 1 to get:
x + 2x = 531
Which simplifies to:
3x = 531
Dividing both sides by 3, we find that:
x = 531 / 3 = 177
Using the value of x to find y from Equation 2, we get:
y = 2 * 177 = 35
Therefore, Nancy bought 177 long sleeve shirts and 354 short sleeve shirts.
Can someone please help me with this question? :)
Answers
Answer:
Step-by-step explanation:
[tex]\frac{h*(a+b)}{2}=\frac{6.7*(7+10.4)}{2}\\\\=\frac{6.7*17.4}{2}=\frac{116.58}{2}=58.29[/tex] cm²
Cynthia has the choice of taking out a 25-year loan for $155,000 at 4.4%
interest, compounded monthly, or the same loan at 20 years for a higher
monthly payment. If she would pay a total of $100,831 in interest on the 25-
year loan, how much in total would she pay in interest on the 20-year loan?
Answers
Answer:
D. Less than $100,831
Step-by-step explanation:
There is an equation for calculating monthly payment:
x = p • r • (1+r)^n / (1+r)^n - 1
It may seem a bit complicated, but let's explain it step by step:
- p is the amount of loan, in this case $155,000
- r is monthly interest rate, in this case (4.4/12) / 100, which is 0.00367
- n is the number of months for paying back, or in this case 20 • 12 = 240
Now that we know all the values, all that's left is to plug them in and solve it on the calculator:
x = 155,000 • 0.00367 • (1.00367^240) / (1.00367^240) - 1
x = $972.27
So, the monthly payment is around $972.3. We now multiply it by the number of months to get total payment:
$973.3 • 240 = $233,352
So, the total amount, loan plus interest, is 233,352 dollars.
To only find amount of interest, we simply subtract loan from total amount:
$233,352 - $155,000 = $78,352
6(5x-3) distributive property gcf
Answers
Answer:
Step-by-step explanation:30x-18
Multiply each inside number by the outside number
6•5x= 30x
6•-3= -18
Put them back into their equation
30x-18
In a video game,you score p game points and b triple bonus points. An expression for your score is p+3b. What is your score when you earn 245 games points and 20 triple bonus points
Answers
Your score in the game is 305 points.
Step-by-step explanation:
Given,
Expression used for score = p + 3b
p = game points
b = triple bonus points
Game points earned by you = p = 245 games point
Triple bonus points = b = 20
Putting these values in given expression
Total points = [tex]245+3*20[/tex]
Total points = [tex]245+60[/tex]
Total points = 305 points
Your score in the game is 305 points.
Keywords: addition, expression
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1. Suppose that AB and EF are corresponding sides of similar triangles. AB = 6 and the scale factor is 3, what is EF?
A. 3
B. 6
C. 9
D. 18
Answers
Answer:
d
Step-by-step explanation:
since since the scale factor is 3 angle ab abyou multiply 6 * 3 to get 18
The length of the Side EF is 18.
What is the scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
Given that corresponding sides are AB and EF, and EF is a side of the larger (second) triangle.
scale factor 3 means each length of the second is 3 times as long as the first.
Therefore, the length of the side EF when the length of side AB is 6 units is,
EF = 3 x AB
= 3 x 6 units
= 18 units.
Therefore, Side EF is 18.
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