Answer:
y = 3
Step-by-step explanation:
[tex]y + 2 = 5 \\ y = 5 - 2 \\ y = 3[/tex]
Answer:
y = 3
Step-by-step explanation:
Subtract 2 from each side, so it now looks like this: y = 3Are x+4=5 and 2x+8=10 equivalent equations?
Answer:
Yes
Step-by-step explanation:
You can find the answer to this question by finding the value of x in both equations.
Let's start off with the first equation: [tex]x+4=5[/tex]
To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.
[tex]x+4-4=5-4[/tex]
[tex]x=1[/tex]
The answer to the first equation is x = 1.
Now let's start on the second equation: [tex]2x+8=10[/tex]
Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.
[tex]2x+8-8=10-8[/tex]
[tex]2x=2[/tex]
Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).
[tex]\frac{2x}{2} = \frac{2}{2}[/tex]
[tex]x = 1[/tex]
The answer to the second equation is x = 1.
Since both equations have the same solution, the answer to your question would be yes.
Hello There!
ANSWER:Yes
EXPLANATION:If you want to know if your two equations are equivalent, let's try finding the answer to both of them.
[tex]x+4=5[/tex]
Let's find x.
We all know addition and subtraction. So let's just do
[tex]5-4=x[/tex]
So 5-4 is equal to 1.
So the answer for this equation is
[tex]x=1[/tex]
Let's move on to your second equation.
[tex]2x+8=10[/tex]
Now we must subtract 8 from both sides.
[tex]2x+8-8=10-8[/tex]
And this equals
[tex]2x=2[/tex]
Let's divide the both sides by 2.
[tex]\frac{2x}{2}=\frac{2}{2}[/tex]
The fraction [tex]\frac{2}{2}[/tex] is gonna equal one.
So [tex]x=1[/tex]
Now you have your answer for the second equation. Both answers were the same.
So the answer to your question is YES.
Solve the equation. Check the solution.
8- 2x - 5- 13x = 6
Answer:
see below
Step-by-step explanation:
8- 2x - 5- 13x = 6
Combine like terms
-15x+3=6
Subtract 3 from each side
-15x+3-3=6-3
-15x = 3
Divide each side by -15
x = 3/-15
x = -1/5
Check
8 - 2(-1/5) -5 -13(-1/5) = 6
8 + 2/5 -5 +13/5 = 6
3 + 15/5 = 6
3+3=6
6=6
X+5x;x=5 A.30 B.25 C.5 D.20
Answer:
A
Step-by-step explanation:
x+5x if x =5 replace the variable with the key (x=5)
so now the problem reads
5+5*5
acording to oder of operations u do multipcaion 1rst
5+25
30
so ur answer is 30
in the end step by step looks like this
x+5x if x =5
5+5*5
5+25
30
What is the value of the expression below when x equals 5?
16 + 10x
Answer:
66
Step-by-step explanation:
Plug in 5 for x
16 + 10(5)
16 + 50 = 66
Answer:
66
Step-by-step explanation:
So we have the expression:
[tex]16+10x[/tex]
To find the value of the expression when x is 5, substitute 5 for x:
[tex]=16+10(5)[/tex]
Multiply:
[tex]=16+50\\[/tex]
Add:
[tex]=66[/tex]
What are families of functions and how are they useful?
Answer:
Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function. They're useful because if you know the parent function, you can figure out another function from there
Step-by-step explanation:
Solve 6x-3y=-6 for y
Answer:
y = 2x + 2
Step-by-step explanation:
6x -3y = -6 (get y on one side of the equals sign by substracting 6x from both sides)
-3y = -6x - 6 (divide each side by -3 to get final value of y)
y = 2x + 2
Julie does not want to spend more than $300 on ice skating. Her skates will cost $42, her lessons will cost a total of $56, and the practice time will cost $7.50 per hour. Which inequality should Julie use to determine the maximum number of hours, h, she can practice without spending more than $300?
Answer:
42+56+7.5h ≤ 300
≤ means less than or equal to and Julie does not want to go over 300 so this would be the correct symbol to use
A watermelon consists of 90% water and 10% pulp. After drying the weight is 20 kg
and 40% water is left. What was the initial weight?
What is 8 2/5 as a decimal number
Answer:
8.4
Step-by-step explanation:
8 is a whole njmber, so it stays the same.
2/5 is equivalent to .4, so you put that at the end.
Your answer is 8.4 Hope this helps!
The decimal number is 8.4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
8(2/5)
= (8 x 5 + 2) / 5
= (40 + 2) / 5
= 42/5
= 8.4
Thus,
The decimal number is 8.4.
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A custom T-shirt shop spent $250 dollars on equipment and has to purchase the T-shirts at a cost of $2 per shirt. Their total cost, C, can be found using the function C=2T+250 Where T is the number of T-shirts they purchase. If the shop purchased 300 T-shirts, how much was their total cost? PLEASE ANSWER BY 11:59 8-28-2020
Answer:
So we know the shop spent $250 on equipment and they also purchased 300 T-shirts for $2 each.
Knowing this, we only have to add to the $250, what they have paid for the T-shirts.
So if each T-shirt is purchased by $2 and they have bought 300, we multiply:
2 * 300 = $600
So we add the $600 spent on T-shirts to the $250:
600 + 250 = $850
We could also have done it with by replacing T for 300 in C = 2T + 250:
C = 2*300 + 250 --> C = 600 + 250 --> C = $850
Someone please help me with 1-4!
150 140 130 120 110 100 90 80 70 60 50 40
11.III
What is the measure of ZJHG?
J
30 20 10
G
H
degrees.
The measure of ZJHG is
Answer:
The measure of ∠JHG is 70 degreesStep-by-step explanation:
If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.
The measure of ∠JHG is 70°
What are angles?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”
Given: The protractor has a line that coincides with the line that makes an angle of 70° with the base and thus the ∠JHG =70
Hence, The measure of ∠JHG is 70°
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Point O is on line segment \overline{NP} NP . Given OP=8OP=8 and NO=2,NO=2, determine the length \overline{NP}. NP
Answer: The length of [tex]\overline{NP}[/tex] is 10 units.
Step-by-step explanation:
We are given that,
Point O is on line segment [tex]\overline{NP}[/tex] .
Then, [tex]\overline{NP}=\overline{NO}+\overline{OP}[/tex] (i)
Since we have given that OP=8 units and NO=2 units .
Now we will substitute these values in (i), we will get
[tex]\overline{NP}=8\ units+2\ units\\\\\Rightarrow\ \overline{NP}=10\ units[/tex]
Hence, the length of [tex]\overline{NP}[/tex] is 10 units.
Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm.
They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for
the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge
$75.00 per hour for the house plans. Let a represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the
following statements are true? Select all that apply.
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
Rock the House Digital Designs
Cost = $(500 + 50h)Elegant Home Architects
Cost = $(75h)===========================
Answer options:
1)The expression 50h represents the total charge for Rock the House Digital Designs.
Incorrect. Additional $500 charged.2)The expression 75h represents the total charge for Elegance Home Architects.
Correct3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
Incorrect. They will choose one of the options.4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $12505)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875please help me!!!!! i need full answer.
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( [tex]\frac{x+y}{2}[/tex])sin ([tex]\frac{x-y}{2}[/tex] )
sin x - sin y = 2cos ([tex]\frac{x+y}{2}[/tex] )sin ([tex]\frac{x-y}{2}[/tex] )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin([tex]\frac{A+B}{2}[/tex])sin([tex]\frac{A-B}{2}[/tex] ) ]² + [ 2cos([tex]\frac{A+B}{2}[/tex] )sin([tex]\frac{A-B}{2}[/tex] ) ]²
= 4sin² ([tex]\frac{A+B}{2}[/tex] )sin² ([tex]\frac{A-B}{2}[/tex] ) + 4cos² ([tex]\frac{A+B}{2}[/tex] )sin² ( [tex]\frac{A-B}{2}[/tex] )
= 4sin² ([tex]\frac{A-B}{2}[/tex] )[ sin² ( [tex]\frac{A+B}{2}[/tex] ) + cos² ( [tex]\frac{A+B}{2}[/tex] ) ← sin²x + cos²x = 1
= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) × 1
= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) = right side ⇒ proven
In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
Answer:
16
Step-by-step explanation:
You add 7, 4 and 5 to get 16.
What is the value of x?
Answer:
x = 15
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse )
Thus
x² = 9 × (9 + 16) = 9 × 25 = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
-29 = 5u+ 6-12u solve for u
Answer:
u=5
Step-by-step explanation:
-29 = 5u + 6 - 12u
-6 -6
-35 =5u - 12u
-7u
-35 = 7u
-35 divided by 7 to get u by itself equals 5
therefore u =5
Step-by-step explanation:
Reorder the terms:
6+5u+ -12u= -29
u =5
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Answer:
See Explanation
Step-by-step explanation:
The options are not given; however, the solution is as follows;
[tex]3y = 27x[/tex]
Required
Determine relationships with the same constant of proportionality (k)
[tex]3y = 27x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} = \frac{27x}{3}[/tex]
[tex]y = \frac{27x}{3}[/tex]
[tex]y = 9x[/tex]
The relationship between y, x and k is:
[tex]y = kx[/tex]
Comparing [tex]y = kx[/tex] with [tex]y = 9x[/tex]; then
[tex]k = 9[/tex]
Hence, any of the options with k=9 answers the question.
Take for instance:
[tex]2y = 18x[/tex]
Dividing both sides by 2 gives
[tex]y = 9x[/tex] and hence; [tex]k = 9[/tex]
Answer:
The answers are A B and C
Step-by-step explanation:
I just got it right
x/w=z/y^2 solve for y
Answer:
[tex]\Large \boxed{\displaystyle y=\sqrt{\frac{z \cdot w}{x}}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{w} =\frac{z}{y^2 }[/tex]
Cross multiplication.
[tex]x \cdot y^2 =z \cdot w[/tex]
Dividing both sides by [tex]x[/tex].
[tex]\displaystyle \frac{x \cdot y^2 }{x} =\frac{z \cdot w}{x}[/tex]
[tex]\displaystyle y^2 =\frac{z \cdot w}{x}[/tex]
Taking the square root of both sides.
[tex]\displaystyle \sqrt{y^2 } =\sqrt{\frac{z \cdot w}{x}}[/tex]
[tex]\displaystyle y=\sqrt{\frac{z \cdot w}{x}}[/tex]
What is the independent and dependent variable? Whats the (x) and (y) axis?
Answer:
x-axis(independent) = 1.5
y-axis(dependant) = 75ft
Step-by-step explanation:
An INDEPENDENT variable is the variable yourself can not change, in this case its time. The DEPENDANT variable is the variable that is changed to affect data you are solving for. Idk if this helps you at all to understand for future references but i hope it did!
1) An elevator is on the 15th floor, it goes down 18 floors
and then up 5 floors. What floor is it on now?
Answer:
It is on floor 2
Step-by-step explanation:
15-18=-3
-3+5=2
hope this helped :)
Answer:
it is on the 2nd floor
Step-by-step explanation: this is because it started at 15, then went down 18: 15-18
-3
then it went up 5: -3+5 or 5-3
to end up at the 2nd floor
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.Find the sum of all the multiples of 3 or 5 below 1000.
Given :
All the natural numbers below 1000 that are multiples of 3 or 5 .
To Find :
The sum of all the multiples of 3 or 5 below 1000.
Solution :
Max multiple of 3 is 999 .
Max multiple of 5 id 995 .
So , number of multiple of 3 is :
[tex]999=a+(n-1)d\\\\999=3+3(n-1)\\\\n=333[/tex]
Similarly for 5 .
[tex]995=a+(n-1)d\\\\995=5+5(n-1)\\\\n=199[/tex]
Now , sum of all multiple of 3 is given by :
[tex]S_3=\dfrac{n}{2}(2a+(n-1)d)\\\\S_3=\dfrac{333\times (2\times 3+332\times 3)}{2}\\\\S_3=166833[/tex]
Also , sum of all multiple of 5 is :
[tex]S_5=\dfrac{n}{2}(2a+(n-1)d)\\\\S_5=\dfrac{199\times (2\times 5+198\times 5)}{2}\\\\S_5=99500[/tex]
Therefore , total sum :
[tex]T=S_3+S_5\\\\T=166833+99500\\\\T=266333[/tex]
Now , there are some common number which we add two times like :
15 , 30 , 60 ......
So , we should subtract the sum of all multiple of 15 from T .
Now , sum of all multiple of 15 is 33165 .
So ,
[tex]T=266333-33165\\\\T=233168[/tex]
Therefore , the sum of all the multiples of 3 or 5 below 1000 is 233168 .
What is a strategy that you can use when you are adding and subtracting more than 2 integers? What is your process? Example: -2 + -8 --5 +3 =
Answer: i just add 2 integers as i go
Step-by-step explanation: like for that problem i would go -2 +-8 is -10 then do -10 --5 which is -5 then do -5 +3 which is -2.
So I keep getting 188 or 88 but I got the reminder right I’m not sure what I did wrong
Answer:
Step-by-step explanation:
7619 / 7
= 1088 remainder 3.
what is the value of the expression below when z=2?
5z^2-z-4
Answer:
14
Step-by-step explanation:
5(2)² - 2 - 4 = 14
The required value of the given expression 5z²-z-4 is 14 when z = 2,
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.
The expression is given in the question below as:
5z²-z-4
To determine the value of the expression 5z²-z-4 when z=2, we need to substitute 2 for every occurrence of z in the expression and then simplify the expression.
5z²-z-4 when z = 2 is :
= 5(2²)-2-4
= 5(4)-2-4
= 20-2-4
= 14
Therefore, the required value is 14.
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Greg bought a new car for £18000.
In the first year the value of the car depreciates by 30%.
In the second year and the third year the car depreciates by 14%
Work out the value of the car after three years.
Answer:
£9318.96
Step-by-step explanation:
18000×0.7×0.86^(2)=£9318.96
Martha drew the following shape on her
notebook:
What types of angles are included in
the shape she drew?
Plz help
Answer:
right angles and obtuse angles
Step-by-step explanation:
We assume that anything that looks like a right angle is a right angle.
The angles at the left end of each horizontal line are right angles.
The angles at the right end of each horizontal line are obtuse angles.
The angle where the diagonal lines meet is a right angle.
The shape contains right angles and obtuse angles.
which represents a function?
it is B because the x value does not repeat twice
Answer:
the one in the middle
Step-by-step explanation:
why because if you see the x axis when you go over it the one that has a funtion dosent have two of the same number but the one that dosent haves two of the same numbers
1. Simplify the expression. 3[(11–6)2+5]
A 5
B 3
C 15
D 6
Answer:
3 is the answer
mutiply and open bracket minus each other