Answer:
x = -7y/(4 +5y)
Step-by-step explanation:
You can treat y as though it were a constant. As in any 2-step linear equation, you separate the variable term(s) from the constant term, then divide by the coefficient of the variable.
4x +5xy = -7y . . . . . subtract 7y
x(4 +5y) = -7y . . . . . factor out x, so we can see its coefficient
x = -7y/(4 +5y) . . . . divide by the coefficient of x
A car's velocity changes from 1.2 m/s to 35.8 m/s in 8 seconds. What is the average acceleration of the car in m/s2?
Answer:
4.325 meters per second squared.
Step-by-step explanation:
In the diagram below, which distances would need to be the same in order for point A to be on the bisector of angle W? Explain why this is true.
Answer:
PA = XA
Step-by-step explanation:
Construction of an angle bisector,
1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.
2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.
3). Joint the points A and W.
Thus AW will be the angle bisector of angle PWX where PA = XA.
Therefore, distances PA and XA will be equal in measure.
180-(3x-10) simplify this
Answer:
-3x+190
Step-by-step explanation:
180-(3x-10)
180-3x+10
-3x+190
Answer:
[tex]180 - (3x - 10) \\ = 180 - 3x + 10 \\ = 190 - 3x[/tex]
hope I am correct
thanks!
A _____ is a flat surface that has no thickness.
line
plane
floor
point
Answer:
plane is correct answer
eg:
a sheet of paper
it has no thickness but have surface area
hope it helped you:)
At 7 pm. the temperature was 6 degrees. By midnight, the temperature had decreased to 4 degrees below zero. What was the temperature change per hour? Type your answer
Answer:
56
Step-by-step explanation:
Answer:
The temperature change was -2 degrees per hour.
Step-by-step explanation:
1st hour (8pm) it dropped down to 4 degrees.
2nd hour (9pm) it dropped down to 2 degrees.
3rd hour (10pm) it dropped down to 0 degrees.
4th hour (11pm) it dropped down to -2 degrees.
5th hour (12am/midnight) it dropped down to -4 degrees
3.4 + 2(9.7 – 4.8x) = 61.2
Answer:
x=-4
Step-by-step explanation:
3 (n - 5) - (6 -2n) = 4n
Answer:
21
Step-by-step explanation:
3n - 15 - 6 + 2n = 4n
3 n + 2n = 4n + 15 + 6
5 n - 4n = 15 + 6
n = 21
Answer:
n = 21
Step-by-step explanation:
Use distributive rule: a(b + c) = a*b + a*c
3(n -5) - (6 - 2n) = 4n
3*n - 3*5 + 6*(-1) - 2n *(-1) = 4n
3n - 15 - 6 + 2n = 4n {add like term in LHS}
3n + 2n - 15 - 6 = 4n
5n - 21 = 4n {add 21 to both sides}
5n -21 + 21 = 4n +21
5n = 4n + 21 {subtract 4n from both sides}
5n - 4n = 4n -4n +21
n = 21
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Dale is a software salesman. His base salary is S1800, and he makes an additional S90 for every copy of English is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 23 copies of English is Fun.
Answer:
P = 90N +1800$3870Step-by-step explanation:
For sales of N copies at $90 each, 90N is added to Dale's base salary of $1800.
P = 90N +1800
__
For N=23, Dale's salary would be ...
P = 90(23) +1800 = 2070 +1800 = 3870
Dale's total pay for selling 23 copies would be $3870.
Vectors: A boat moves through the ocean on a foggy day. The boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East. What is the speed of the boat relative to a stationary observer on land? __m/s Part 2 The boat turns to face directly West. Now how fast is the boat moving relative to land? __m/s
Answer:
1.) 14.09 m/s
2.) 6.9 m/s
Step-by-step explanation:
Given that the boat is pointing North and can typically move at a speed of 12.8 m/s in calm waters. The boat travels through water where there is a 5.9 m/s current flowing to the East.
The speed of the boat relative to a stationary observer on land will be achieved by using pythagorean theorem
V^2 = 12.8^2 + 5.9^2
V^2 = 198.65
Square root both sides
V = 14.09 m/s
2.) If the boat turns to face directly West.
Since the boat can move at speed 12.8 m/s in a calm water, the speed of the boat if it face west will be
12.8 - 5.9 = 6.9 m/s
Therefore, the boat is moving relative to land at 6.9m/s
How many counters are shown below?
Put your answer in tens and ones. Every box needs an answer.
Place a zero (0) in any box with no value.
Help me with this question plz
simplify the expression √100/49
Answer: 10/7
Step-by-step explanation:
The square root of 100 is 10 and the square root of 49 is 7 so the answer will be 10/7
The required solution is [tex]1\frac{3}{7}[/tex] .
It is required to simplify the expression.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined
Given:
The square root of 100 is 10 and the square root of 49 is 7.
According to given question we have,
[tex]\sqrt \frac{100}{49} \\\\=10/7\\\\=1\frac{3}{7}[/tex]
Therefore, the required solution is [tex]1\frac{3}{7}[/tex] .
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Plz help
Asppp......
Answer:
it is 7
Step-by-step explanation:
Given points are the same, so midpoint also will be the same:
[tex]M_{AB}=\left(\dfrac{x_A+x_B}2\,,\ \dfrac{y_A+y_B}2\right)=\left(\dfrac{9+9}2\,,\ \dfrac{7+7}2\right)=\left(9\,,\ 7\right)\\\\x_M=9\,,\quad y_M=7[/tex]
3. There are 24 girls and 36 boys in Yuki's
science class. Given this information,
answer the following questions:
a) What is the ratio of girls to boys?
b) Girls make up what percent of the
class (round to nearest whole
percent)?
c) Yuki herself makes up what percent
of the class (round to nearest
hundredth)?
Answer:
a) 24:36 simplified: 2:3
b) 40%
c) 1%
Step-by-step explanation:
b) total people:
24 + 36= 60
24/60 = 0.4 40%
c) 1/60 = 0.01
01%
Nia has a membership to Apple Music. She pays $9.99 per month and $0.10 per download. If she spent $10.89 last month, how many downloads did she make last month?
Answer:
9 downloads
Step-by-step explanation:
Let's start by subtracting the initial fee of $9.99 from her total bill of $10.89.
$10.89 - $9.99 = $0.90
Now, let's divide her total cost of downloads by the individual cost of downloads.
$0.90/$0.10 = 9
Nia made 9 downloads last month.
2. Which of the following is not an example of
a perfect square?
a. 9
b. 200
C. 4
d. 64
What are Two angles that have the same measure are called........? (please help due today thank you so much)
Answer:
Two angles that have the same measure are called CONGRUENT ANGLES...
Plz mark ice bear Brainliest
Two angles that have the same measure are called congruent angles
How to determine the termTwo angles having the same degree of measurement are said to be congruent.
A protractor can be used to compare the angle measures of congruent angles, or angle relationships and properties can be used to find congruent angles in a variety of geometric shapes. Because they enable us to recognize and address issues concerning parallel lines, triangles, polygons, and other geometrical shapes, congruent angles are crucial in the study of geometry.
In order to work with angles and their properties in mathematics, one must first understand congruent angles.
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3[–x + (2 x + 1)] = x – 1
Answer:
x = -2Step-by-step explanation:
[tex]3[-x + (2 x + 1)] = x -1\\\\\mathrm{Expand\:}3\left(-x+\left(2x+1\right)\right):\quad 3x+3\\3x+3=x-1\\[/tex]
Collect like terms
[tex]3x -x =-1-3[/tex]
Add similar elements
[tex]2x = -4\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{-4}{2}\\\\Simplify\\\\x = -2[/tex]
2+4=2×+4 2+4=2×2+4 2+4=
Answer:
25 is the correct answer
Which properties can be used to solve 7y − 15 = −29? Select all that apply. A. Identity Property of Multiplication
B. Addition Property of Equality
C. Distributive Property
D. Inverse Property of Multiplication
E. Commutative Property of Addition
Answer:
A and E
Step-by-step explanation:
Other 2 wouldn't make sense
Only definite of A
Addition Property of Equality ----If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Commutative property of addition- changing the order of the numbers we are adding, does not change the sum. Here's an example of how the sum does NOT change, even if the order is changed
The properties that can be used to solve 7y - 15 = -29 are
Addition property of equality and inverse property of multiplication.
Given equation is 7y - 15 = -29.
We will solve for y and see which of the given following properties are applied.
What is addition property of equality and the inverse property of multiplication?Addition property of equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Inverse property of multiplication
It states that every non-zero x multiplied with 1/x will equal 1.
Solve for y.
7y - 15 = -29
We will add 17 on both sides of the equation.
7y - 15 + 15 = -29 + 15
7y = -14
Now, multiply 1/7 into both sides of the equation.
7y / 7 = -14 / 7
y = -2
While solving for y we see that we have to use the addition property of equality and inverse property of multiplication.
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If r = 8 units and h = 11 units, what is the volume of the cylinder shown above? Use 3.14 for . A. 2,210.56 cubic units B. 753.6 cubic units C. 552.64 cubic units D. 3,039.52 cubic units
Answer:
A) 2210.56 cubic units
Find r, s, and t and then explain how you got your answer using at least two
vocabulary words (adjacent, complementary, supplementary, vertical).
Answer:
r = 155°
s = 25°
t = 155°
Step-by-step explanation:
25° is supplementary to <r. Therefore:
m<r + 25° = 180°
m<r = 180 - 25
m<r = 155°
25° and <s are vertical opposite angles. Vertical angles are congruent. Therefore, m<s = 25°
<r and <t are vertical opposite angles, therefore, they are congruent.
m<t = m<r = 155°
Is 6.56 a rational number
Tony buys 420 candy bars, if he eats 351 bars, how much candy bars would Tony have left?
Answer:
69 candy bars
Step-by-step explanation:
No. Of candies he had=420
No. Of candies he ate=351
No of candies left=420-351=69
Answer:69 candy bars left
Step-by-step explanation:
420-351=69
dilations pls help i cant solve
Answer:
D' (6, - 4 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of D by 2, that is
D(3, - 2 ) → D'(2 × 3, 2 × - 2 ) → D'(6, - 4 )
please help me :( my mom is she doing my work tomorrow
2: 23
3: 3
4: 2^3 * 7
Glad i could help :)
Tom made a square measuring 8 feet by 8 feet, and had 18 friends stand inside it as if they are watching a band at a small club. Find the ratio of this number to the rectangle’s area. Choose the appropriate label for this ratio.
Answer:
The ratio of this number to the rectangle’s area is 9:32.
Step-by-step explanation:
The information provided are:
Tom made a square measuring 8 feet by 8 feet.He had 18 friends stand inside it as if they are watching a band at a small club.The area of the square is:
A = (side)²
[tex]=(8\ \text{feet})^{2}\\\\=64\ \text{feet}^{2}[/tex]
The number of people standing insider the square is:
n = 18
Compute the ration of n to A as follows:
[tex]n:A=18:64[/tex]
[tex]=\frac{18}{64}\\\\=\frac{9}{32}\\\\=9:32[/tex]
Thus, the ratio of this number to the rectangle’s area is 9:32.
what is the domain and range of the graph
Answer:
both are "all real numbers"
Step-by-step explanation:
The graph appears to be of a cubic polynomial (degree 3). Any polynomial has a domain of "all real numbers."
Any odd-degree polynomial has a range of "all real numbers."
Both the domain and range are "all real numbers", (-∞, ∞).
Quincy Jackson sells motorcycles. He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000. How much cornmission will he earn on $19,000 in sales?
Answer:
total commission= $2,600
Step-by-step explanation:
Giving the following information:
He earns a 10 percent commission on the first $5,000 and 15 percent on all sales over $5,000.
First, we need to structure the total commission formula:
total commission= 0.10*x + 0.15*y
X= sales up to $5,000
Y= sales from $5,001 to infinity
Now, sales for $19,000 sales:
total commission= 0.1*5,000 + 0.15*14,000
total commission= $2,600
What does -3mnp equal?
Answer:
3MN to N =3000000
Step-by-step explanation:
Which expression represents the perimeter of this figure?
A. 4n(to the second power)
B. 5n
C. 10n
D. 8n
Answer:
C. 10n
Step-by-step explanation:
The figure has 2 sides with length 4n and 2 sides with length n.
perimeter = 4n + 4n + n + n
perimeter = 10n
The perimeter of the figure is 10n. which is the correct answer would be option (C).
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
We have been given that the figure has 2 sides with length 4n and 2 sides with length n.
The perimeter of the figure = 4n + 4n + n + n
Apply the addition operation in the above equation, we get
The perimeter of the figure = 10n
Therefore, the correct answer would be an option (C).
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