Given:
y=0, y+10+10
statement of equality between two expressions consisting of variables and/or numbers
to solve the equation y+10+10, if y=0
substitute the value y=0, in the equation
which is equal to y+10+10= 0 +10 + 10 = 20
so the final answer is 20.
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How do you find the quotient of 45/9
The quotient of the given fraction 45/9 is 5.
What is division?The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers. Addition, subtraction, and multiplication are the other operations.At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.Quotient:
A quotient is a quantity produced by the division of two numbers in arithmetic. The quotient is widely used in mathematics and is also known as the integer part of a division, a fraction, or a ratio.So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5
(Refer to the picture given below for working)
Therefore, the quotient of the given fraction is 5.
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PLEASE SHOW HOW YOU GOT YOUR ANSWER!
What is 2 1/2 ÷ 1/2?
A. 3 1/2
B. 7 1/2
C. 7 1/6
D. 2/15
Answer:
Turn the 2 1/2 into the improper fraction which is 5/2. Now you can do 5/2 divided by 1/2. when diving turns the 1/2 to 2/1 and multiply. so 5/2 x 2/1= 1.25. 1.25 as a fraction is 1 1/4
please help if know how to solve
Answer: 12x+17
Step-by-step explanation:
(hog)(x)=
h(g(x))=
h(4x+5)=
3(4x+5)+2=
12x+15+2=12x+17
Answer:
honestly, I don’t think I’m right
Step-by-step explanation:
A circle has a diameter with endpoints
at A (-3, -12) and B(-7, 4). The point
M(-5, -4) lies on the diameter
What is the distance from A to M (Round to 2 decimal place
What is the distance from B to M (Round to 2 decimal places)
The measure of AM and BM from the given coordinate points are 8.37 units respectively
Distance between coordinatesThe formula for calculating the distance between coordinate points is expressed according to the equation
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:
AM = √(-4+12)²+(-5+3)²
AM = √(8)²+(-2)²
AM = √70
AM = 8.37 units
Similarly;
Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:
BM = √(-4-4)²+(-5+7)²
BM = √(-8)²+(2)²
BM = √70
BM = 8.37 units
Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively
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What are the solutions to the equation x-7/x=6?
x=-7 and x=1
x=-6 and x=-1
x=-1 and x=7
x=1 and x=6
Answer:
x=7
7-7/7-6=0
0/1=0
Zero divided by anything=0
1.83 * 47
help need in the next 3 hours
Answer:
if you want to multiply its 1.83 x 47 = 86.01
Step-by-step explanation:
Between which two integers is the value of 11
The two integers where the value of square root of 11 lies is between 3 and 4.
How to calculate the value?It should be noted that the information is to find the two integers where the value of square root of 11 lies.
It should be noted that the square root of 11 is 3.33.
It should be noted that 3.33 lies between 3 and 4.
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Between which two integers is the value of square root of 11.
| (6-x)-9 |
absolute value and i need help solving. do i just combine and make it -3-x? (this problem came from a fog education.
This simplifies to
[tex]|(6-x)-9|\\\\\boxed{|-x-3|}[/tex]
Select all the expressions equivalent to (81)3/5
((81)1/5)3
0 ((81)1/3)5
((81)1/3)5
((81)5)1/3
3(81)5
5(81)³
In the lab, Lena has two solutions that contain alcohol and is mixing them with each other. She uses 400 milliliters less of Solution A than Solution B.
Solution A is 20% alcohol and Solution B is 17% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 179 milliliters of
pure alcohol?
Answer:
700 mL
Step-by-step explanation:
Lena wants to know how much of solution B she uses to obtain a mixture of solution A with 20% alcohol and solution B with 17% alcohol that contains 400 mL less of solution A, and has 179 mL of alcohol in it.
SetupLet b represent the number of mL of solution B in the mixture. Then (b-400) will be the number of mL of solution A. The number of mL of alcohol in the mix is ...
0.20(b -400) +0.17b = 179
SolutionSimplifying the equation gives ...
0.37b -80 = 179
0.37b = 259 . . . . . . add 80
b = 700 . . . . . . . . divide by 0.37
Lena uses 700 mL of solution B (17%) for the resulting mixture to have 179 mL of pure alcohol.
__
Additional comment
That means there will be 300 mL of solution A, and the contributions from each solution are ...
0.20×300 mL = 60 mL . . . . from solution A0.17×700 mL = 119 mL . . . . from solution Btotal alcohol = 60+119 = 179 mLSimplify: (39x^5z^4)^0 • 18x^2y
The simplification of (39x⁵z⁴)⁰ • 18x²y is 18x²y.
What is Simplification?Making anything simpler is known as simplification. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.
To simplify an equation:
By eliminating all common components from the numerator and the denominator and putting the fraction in its simplest/lowest form, we can simplify fractions. Mathematical expressions can be made simpler by grouping and combining related terms.Rewrite the given equation using the commutative property of multiplication.
18(39x⁵z⁴)⁰x²y
Use the power rule (xy)ⁿ=xⁿyⁿ for distributing the exponent.
18(39⁰(x⁵)⁰(z⁴)⁰)x²y
Anything raised to 0 is 1.
18(1(x⁵)⁰(z⁴)⁰x²y
Multiply (x⁵)⁰(x⁵)⁰ by 11.
18((x⁵)⁰(z⁴)⁰)x²y
Multiply the exponents in (x⁵)⁰.
18(x⁰(z⁴)⁰)x²y
Multiply x⁰ by x² by adding the exponents.
18(x²(z⁴)⁰)y
Simplify 18(x²(z⁴)⁰)y
18x²y
Therefore, simplification of given equation is 18x²y.
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please help i need help i will give crowns
Gena please!
Answer:
2
90
Step-by-step explanation:
54 / 3 = 18
so 18 licks per 1 lollipop.
18 + 18 = 36 (aka 2 lollipops).
18 x 5 = 90 (equivalent to 5 lollipops).
Answer:
36/2
90/5
Step-by-step explanation:
54/3=18 36/2=18 and 90/5= 18
The length of a certain rectangle is 10m greater than twice its width. If the width were reduced by 20m and the length increased by 100m, the perimeter of the new rectangle would be twice the perimeter of the original rectangle. What are the dimensions of the original rectangle?
The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.
What is perimeter?Perimeter is the sum of all the sides of a two dimensional polygon or shape.
For first rectangle let x represent width:
Length = 2x + 10; width = x
Perimeter = 2(length + width)
Perimeter = 2(2x + 10 + x) = 6x + 20
For second rectangle:
Length = 2x + 10 + 100 = 2x + 110; width = x - 20
Perimeter = 2(length + width)
Perimeter = 2(2x + 110 + x - 20) = 6x + 180
the perimeter of the new rectangle would be twice the perimeter of the original rectangle. Hence:
6x + 180 = 2(6x + 20)
x = 23.33 m, length = 2x + 10 = 56.66
The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.
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Which expression is equivalent to
A:4x
B:4x+4
C:x^2+7x+10
D:-x^2-5x-6
Answer:
A
Step-by-step explanation:
x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator
= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator
= x + 2 + (4x - (x + 2)
= x + 2 + 4x - x - 2 ← collect like terms
= 4x
Online Algebra If the area of a rectangle with width x can be represented with the expression A(x) = x(14-x), what is the perimeter of the rectangle? O A 28 B 56 C 56-4x Te D 4x+28
14 is the perimeter of the rectangle .
What does a rectangular 's perimeter mean?
Considering that the polygon's perimeter is equal to the sum of its sides. As a result, the perimeter (P) of a rectangle is given by P = the total of its four sides. P = a + b + a + b (Opposite sides of rectangle are equal).The answer provided below has been developed in a clear step by step manner.
Step: 1
Given, A(x) = x(14-x)
Comparing with A = lw , we have
Length , l = x and
Width , w = 14 - x
Step: 2
We know,
Perimeter of rectangle ,
p = 2( l + w )
p = 2 ( x + 14 - x )
p = 28
Hence,
Perimeter of rectangle = 14
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Determine which integer will make the equation true.
3x + 9 = 24
S = {3, 4, 5, 6}
A: 3
B: 4
C: 5
D: 6
Answer:
c) 5
Step-by-step explanation:
Solving for the value of x,
→ 3x + 9 = 24
→ 3x = 24 - 9
→ x = 15/3
→ [ x = 5 ]
Hence, option (c) is correct.
Can someone help me with this question? It's due tomorrow :(
Answer:1,3
Step-by-step explanation: it is reflecting over the x-axis, not the y-axis. when answering these questions, keep in my what axis you're working with. hope this helps.
f(1)=30,f(n)=2xf(n-1)-50
Answer: f(0)=40/x
Step-by-step explanation:
f(n)=2xf(n-1)-50
f(1)=2xf(1-1)-50
f(1)=2xf(0)-50
30=2xf(0)-50
2xf(0)=80
f(0)=80/(2x)
f(0)=40/x
If m/MSN = 106°, then what is m/MSP?
M
R/1
3/2
4
15
The measure of m∠MSP as represented in the image attached is 74 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angle.
From the image shown:
m∠MSN + m∠MSP = 180° (sum of angles in a straight line)
106 + m∠MSP = 180°
m∠MSP = 74°
The measure of m∠MSP as represented in the image attached is 74 degrees.
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What's 3.2rounded to the nearest tenth
Solve -3.5 = x/4 for x using the multiplication property of equality. The operation in the problem is
The operation used in the problem is Multiplication property of equality and the value of x is -14
Property of equality-3.5 = x/4
cross Multiplication- 3.5 × 4 = x
-14 = x
Check:
-3.5 = x/4
- 3.5 = -14 / 4
-3.5 = -3.5
Therefore, the operation used in the problem is Multiplication property of equality and the value of x is -14
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A container has 4 3/5 L of water. 1 7/10 is needed to fill it to full capacity what is the capacity of the container in liters. Please helppp!!!!
The capacity of the given container is 6.3 liters.
What are Mathematical operations?This term refers to a mathematical operation (such as differentiation or multiplication by a constant) where the action on the sum of two functions is equal to the sum of the actions of the operation on each function, following the same logic as the principle of superposition.So, 4(3/5) + 1(7/10):
4(3/5) + 1(7/10)20+3/5 + 10+7/1023/5 + 17/10Take LCM: 102(23) + 17/1046 + 17/1063/106.3 litersTherefore, the capacity of the given container is 6.3 liters.
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Suppose you want to have $600,000 for retirement in 20 years. Your account earns 5% interest. How much would you need to deposit in the account each month?
You need to deposit $1459.667 every month;
Let the amount needed to be deposited each month be 'x' ;
Monthly interest rate, i = 5%/12 = 0.4167% = 0.004167
Total amount = $600,000
Total time (in months) = 20 × 12 = 240 years;
Therefore, according to question;
600,000 = x . [(1 + i)ⁿ -1]/i
600,000 = x. [(1 + 0.004167)²⁴⁰ - 1]/0.004167
x = 1459.667
The additional amount you must repay over and above the principal borrowed is called interest. This is how lending institutions turn a profit.
Typically, interest is expressed as an annual percentage of the principal.
Monthly interest is the interest that is paid every month or after every 30 days.
We compute the monthly interest rate by dividing the annual interest rate by 12 to calculate the monthly interest on a loan or investment.
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Dosage 2 tablets, 4x per day 26 tablets per bottle
The selling price of an item is480 $. It is marked down by 10%, but this sale price is still marked up from the cost of $360. Find the markup from cost to sale price
Answer: $72
Step-by-step explanation:
Oddly worded question but if I understand it correctly we need to find the marked down price and subtract $360 from it.
It is 10% off so an easy way to do the math is to find what 90% of $480 dollars is.
.90 * 480 = $432
Then we subtract $360 from this sale price.
$432 - $360 = $72
All my points please help! Given a unit circle, what is the value for y?
the value of y for the given circle will be 1 / 50 ( approx).
We are given a unit circle.
So, we get that:
centre = (0, 0)
Equation of the circle will be
x² + y² = 1
Now, we have a point (- 17 / 20, y)
Substituting the values in the equation, we get that:
(- 17 / 20)² + y² = 1
343 / 400 + y² = 1
y² = 57 / 400
y = 1 / 50 ( approx)
Therefore, we get that, the value of y for the given circle will be 1 / 50 ( approx).
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Answer: top one is 111 dont know bottom
Step-by-step explanation:
<3
-21-17+25+65=52 please help right now thank you!
According to the solving the LHS = RHS this shows the equality symmetric property.
52 = 52.
What is the difference between LHS and RHS?LHS is an informal shorthand again for the left-hand side of the an equation in mathematics. Likewise, RHS refers to the right-hand side. Because equality is symmetric, both sides share the same value, expressed differently.
What is the idea of equality?Given the "equality" (=) relation and a = b, if b = a holds true for all a and b, equality is said to be symmetric. For all of a and b, the assertion is TRUE (no counterexample can be found). This is known as the equality symmetric property.
According to the given data:-21-17+25+65=52
Proving that both LHS = RHS :
-21-17+25+65=52
-21-17+25+65=52
- 38 + 90 = 52
52 = 52
So,
LHS = RHS
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Find, if possible, the number of elements in sets A, B and C using the given information. If there is an inconsistency, state where it occurs. An B= 0, n(A n C) = 10, n(B n C) = 1, n(C - A) = 9, n(A - C) = 12, n(U) = 31
Using Venn sets, the number of elements in the sets are given as follows:
Set A: 22.Set B: 1.Set C: 19.What are the Venn Sets?For this problem, we consider that the sets A, B and C are the sets represented in the problem, and use the information given to find the number of elements in each set.
For the set A, we have that:
n(AnB) = 0n(A n C) = 10.n(A - C) = 12,Hence 12 elements belong only to set A and 10 belong to both A and C, hence set A has 22 elements.
For the set B, we have that:
n(AnB) = 0n(B n C) = 1In total, there are 31 elements, of which:
12 are only in A.9 are only in C.10 are in both.31 - 31 = 0, hence set B has only 1 element, that is also present in set C.
For the set C, we have that:
n(B n C) = 1. n(C - A) = 9.n(A n C) = 10Hence it has 10 elements that are also in set A, and 9(the intersection with B is included in C - A as n(AnB) = 0) are not, hence set C has 19 elements.
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When an automobile travels uphill or downhill on a highway, it experiences a force due to gravity. This force in pounds is called grade resistance and is modeled by the equation below, where theta is the grade and W is the weight of the automobile.
F = Wsin theta
A 2710-lb car traveling uphill has a grade resistance of 160 lb. What is the angle of the grade?
theta =__.
(Type your answer in degrees. Round to the nearest hundredth as needed.)
Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:
F = Wsinθ
Where:
F represents the grade resistance or force in pounds.θ represents the grade W represents the weight of a physical object.Making theta (θ) the subject of formula, we have:
θ = sin⁻¹(F/W)
Substituting the given parameters into the formula, we have;
θ = sin⁻¹(160/2710)
θ = sin⁻¹(0.0590)
Theta, θ = 3.38 degrees.
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big stonez post the lyrics for brainliest
