Answers
Answer: 2
Step-by-step explanation:
2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]
15x-10=0+6+2x [Solve]
15x-10=16+2x [Convey the terms]
15x-2x=16+10 [Add up the same terms and calculate]
13x=26 [Divide both parts]
x=2
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
2.5(6x - 4) = 10 + 4(1.5 + 0.5x)
Step 2: Solve for x
Distribute: 15x - 10 = 10 + 6 + 2xCombine like terms: 15x - 10 = 16 + 2xSubtract 2x on both sides: 13x - 10 = 16Add 10 to both sides: 13x = 26Divide both sides by 13: x = 2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2))Multiply: 2.5(12 - 4) = 10 + 4(1.5 + 1)Subtract/Add: 2.5(8) = 10 + 4(2.5)Multiply: 20 = 10 + 10Add: 20 = 20Here we see that 20 does indeed equal 20.
∴ x = 2 is a solution of the equation.
Related Questions
I don’t know it can someone help me
Answers
Answer:
23
Step-by-step explanation:
supplementary angles: 180-85 = 95
95 = 5x-20 ( i forgot the name of the rule, something relating to same side interior angles i think)
115 = 5x
23= x
hope that helped
Mercury freezes at -39 degrees Celsius and boils at 357 degrees C. which of the following intervals represents the temperature range in degrees Fahrenheit over which Mercury is a liquid?
Answers
Answer:
Man I wish I knew
Step-by-step explanation:
Answer:
The first answer is not helpful at all
The position of an object at time t is given by s(t) = -8 - 9t. Find the instantaneous velocity at t = 1 by finding the derivative. plz show work
Answers
Answer:
The instantaneous velocity at t = 1 will be:
[tex]\frac{d}{dt}\left(-8-9t\right)=-9[/tex]Step-by-step explanation:
Given the position of an object at a time [tex]t[/tex]
[tex]s\left(t\right)=-8-9t[/tex]
As we know that determining the derivative of the position function with respect to time t would give us the instantaneous velocity, so
[tex]\frac{ds}{dt}=\frac{d}{dt}\left(-8-9t\right)[/tex]
Applying the sum/difference rule:
[tex]\left(f\pm g\right)'=f\:'\pm g'[/tex]
[tex]\frac{ds}{dt}=-\frac{d}{dt}\left(8\right)-\frac{d}{dt}\left(9t\right)[/tex]
as
[tex]\frac{d}{dt}\left(8\right)=0[/tex] ∵ [tex]\frac{d}{dx}\left(a\right)=0[/tex]
and
[tex]\frac{d}{dt}\left(9t\right)=9[/tex] ∵ [tex]\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'[/tex] and [tex]\frac{d}{dt}\left(t\right)=1[/tex]
so the expression becomes
[tex]\frac{ds}{dt}=-\frac{d}{dt}\left(8\right)-\frac{d}{dt}\left(9t\right)[/tex]
[tex]=-0-9[/tex]
[tex]=-9[/tex]
As the derivative is constant.
Therefore, the instantaneous velocity at t = 1 will be:
[tex]\frac{d}{dt}\left(-8-9t\right)=-9[/tex]
Marshall solved an equation using the process below.
Use the multiplication property of equality twice, by first multiplying both sides of the equation by x and then dividing both sides by 3.25.
Which equation is the one Marshall solved?
Answers
Answer:
b
Step-by-step explanation:
Match each shape to its name
Answers
Answer:
I can’t really answer this because you didn’t show a picture. Here’s a thought though. Look up a shape chart on google and work from there. Hope this helps you out
What is the decimal value of x in the equation 7x − 2 = 5x + 3?
Answers
HELP I REALLY NEED AN ANSWER WILL GIVE BRAINLIEST IF I CANNNNN
Answers
Answer:
62
Step-by-step explanation:
Nick and Michelle are searching for a treasure chest underwater. The straight line distance between them is 100 meters. Given the angles in the diagram, who is closers to the chest and why ?
Answers
Answer:
Michelle is closer to the treasure chest.
Step-by-step explanation:
If you didn't know, the smallest angle is opposite the smallest line, and it goes the same way for larger angles.
65 degrees is opposite Michelle's line, making her line shorter.
my sister is bugging me and i dont care so please help
(sorry about the name this is how it got sent to me)
**EXPLAIN LIKE DO STEPS SO IT DOESNT LOOK LIKE ITS CHEATING??
Answers
Number 3's answer: $2.89 per box
Explanation: take the total cost divided by the number of cereal boxes. $43.35÷15=$2.89 per box
Number 4's answer: 2.45
Explanation: number of points divided by minutes=points per minute. 98÷40=2.45 point a minute.
Number 5's answer:$0.89
Explanation:total cost of bananas divided by pounds=cost per pound. $1.89÷2.25 (2 1/4) =$0.89
Hope this helps
How can you use the Distributive Property to check your work when factoring? Once an expression has been factored, use the Distributive Property to expand the expression. The factored expression should be the original expression. Once an expression has been factored, use the Distributive Property to factor the expression. The factored expression should be the original expression. Once an expression has been factored, use the Distributive Property to factor the expression. The expanded expression should be the original expression. Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Answers
Answer:
Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Step-by-step explanation:
The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S
The binary operation a * (b Ф c) = (a * b) Ф (a * c) .
The operation * distributes over the operation Ф.
Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).
To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.
So, a(b + c) = ab + ac which is our initial expression.
So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
The way to use the Distributive Property to check your work when factoring is;
Option D; Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
The distributive property in algebra is expressed as; a(b + c) = ab + ac
Now, to use the distributive property to check the work when factoring, we have to expand the factored form first.
For example, we have; 2(3 + 4)
From distributive property, we have;
(2 × 3) + (2 × 4) = 14
This should be the same with the original factored expression; 2(7) = 14
Thus, the method is Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Read more about distributive property at; https://brainly.com/question/2807928
what is the slope of the line?
Answers
Answer:
2 over 4
Step-by-step explanation:
First you find a point on the line that is a whole number then look for the next one on the line and us rise over run to find slope
Please help with this
Answers
Answer:
9 is your answer. It's a simple equation.
What is 60% of 30? A. 24 B. 12 C. 21 D. 18
Answers
Answer:
18
Step-by-step explanation:
60% 0f 30 is 18
D. 18
What is the area of rectangle PQRS with vertices at P(0,2), Q(0, 10), R(4,10) S(4,2)
Answers
21. Find the perimeter of the triangle: 60 degrees, 60 degrees,
[tex]4 \sqrt{15 } [/tex]
Answers
Answer:
120+ 4(square root)15
120+15.49=135.49
135.49 is the perimeter
The perimeter of the triangle having two angles 60 degrees, 60 degrees, and one side [tex]4\sqrt{15}[/tex] is, [tex]12\sqrt{15}[/tex] or 46.47
What is the perimeter?Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.
Perimeter = Sum of length of the all the sides
Given that,
the triangle having two angles 60 degrees, 60 degrees,
and one side
It is known that, total sum of all the angles of triangle is 180°
A = 60°
B = 60°
C = ?
A + B + C = 180°
60° + 60° + C = 180°
C =60°
Hence, it is a equilateral triangle
And for equilateral triangle length of all sides are equal
a = [tex]4\sqrt{15}[/tex]
b = [tex]4\sqrt{15}[/tex]
c = [tex]4\sqrt{15}[/tex]
Perimeter = [tex]4\sqrt{15}[/tex] + [tex]4\sqrt{15}[/tex] + [tex]4\sqrt{15}[/tex]
Perimeter = 12√15
So, the perimeter is 12√15
To know more about Perimeter check:
https://brainly.com/question/6465134
#SPJ1
Ten people were asked to use their calculator to randomly generate a number between 1 and 100.
What is the chance that at least two people generated the same number?
Answers
Answer:
10% chance
Step-by-step explanation:
Answer:
Random numbers can be quickly and easily generated by using the graphing calculator.
Step-by-step explanation:
The table shows the lowest elevations in some countries.
A 2-column table with 5 rows. Column 1 is labeled Country with entries Dominican Republic, France, Hungary, India, Japan. Column 2 is labeled Elevation (meters) with entries negative 46, negative 2, 78, 0, negative 4.
If you plotted these elevations on a vertical number line, which would be the only country with a lowest elevation above 0?
Answers
Answer:
Hungary
Step-by-step explanation:
Just did the question
Answer:
Hungary
Step-by-step explanation:
just did it.
Plz help
Edna wants to know the height of a pine treeShe measures the shadow of the pine tree and finds that it is 12 meters long. Edna also knows that a nearby redwood tree that is 8 meters tall is casting a shadow 6 meters long. How tall is the pine tree?
Answers
Answer:
14 meters long
Step-by-step explanation:
if a 8 meter tree is casting a 6 meter shadow you add 2 meters from the orginal tree you want to measure.
12 meters +2 meters = 14 meters
PLEASE HELP ASAP.
A triangle with a vertex at point Y(-3, 7) is dilated by a scale factor represented by the coordinate pair (2/3x, 2/3y ). What is the location of Y'?
Please look at the picture below for the answer choices.
Answers
Answer:
[tex]Y' = (-2, 4\frac{2}{3})[/tex]
Step-by-step explanation:
Given
[tex]Y = (-3,7)[/tex]
[tex]Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)[/tex]
Required
Determine Y'
Y' can be solved by multiplying the scale factor by Y
i.e.
[tex]Y' = Scale\ Factor * Y[/tex]
For, the x coordinates.
[tex]Y' = \frac{2}{3}x[/tex]
Where
[tex]x = -3[/tex]
[tex]Y' = \frac{2}{3} * -3[/tex]
[tex]Y' = \frac{-6}{3}[/tex]
[tex]Y = -2[/tex]
For the y coordinates:
[tex]Y' = \frac{2}{3}y[/tex]
Where
[tex]y = 7[/tex]
[tex]Y' = \frac{2}{3} * 7[/tex]
[tex]Y' = \frac{14}{3}[/tex]
[tex]Y' = 4\frac{2}{3}[/tex]
Hence:
[tex]Y' = (-2, 4\frac{2}{3})[/tex]
Express 5 4/9 as a decimal.
Answers
Answer
look at the pic below
Step-by-step explanation:
Name the COEFFICIENT in the following expression: 7 + 12x
Answers
Answer:
12
Step-by-step explanation:
how to solve this geometry problem?
Answers
Answer:
x=7 A=41
Step-by-step explanation:
You do 180-69=111. You know that 11x-7 goes inside and then you do 11x-7+4x+13=111. You get x=7. Multiple 4x7=28+13=41
Find the slope of the line passing through the given points (5, 14) and (1, -2).
A) -3
B 3
D -4
E -9
Answers
Answer:
Answer:3
Explanation:Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 14) and (x₂, y₂ ) = (1, - 2)
m = [tex]\frac{-2-14}{1-5}[/tex] = [tex]\frac{-16}{-4}[/tex] = 4
1. Consider the system of equations below. What could be the first step in solving by elimination?
3x + 5y = 16
3x + 2y = 10
O Add the two equations together.
O Add 5 to both sides of the first equation.
Ο Multiply the first equation by -1.
Ο Multiply the second equation by 2.
Answers
Answer:
Multiple the first equation by -1
Step-by-step explanation:
After doing this you add the two equations together and follow the systems of equations as normal
[tex]-3x+-5y=-16\\3x+2y=10\\-3y=-6\\\frac{-3y}{-3} =\frac{-6}{-3} \\y=2[/tex]
Therefore y = 2
the ratio of large triangles to small triangles is 2-6 .If there are 100 triangles in the design ,how many small triangles are there.
Answers
Answer:
75 small triangles
Step-by-step explanation:
1. Reduce the ratio: 2-6 = 1-3
2. Write each of them as a fraction of a whole:
Small total = 3/(1+3) = 3/4 of the total amount
3. Multiply the ratio to get the answer: 3/4 * 100 = 75
A triangle has a perimeter of (12a^2 + 5a + 9b + 16) and side lengths (4a^2 + 9a - 8) and (2a + 2b + 10). What is the length of the third side?
I WILL GIVE BRAINLIEST !
Answers
Answer:
8x^2-6a+9b+14
Step-by-step explanation:
P=(12a^2 + 5a + 9b + 16)
(4a^2 + 9a - 8)+ (2a + 2b + 10) +(x)= (12a^2 + 5a + 9b + 16)
(4a^2+11a+2)+(x)=(12a^2 + 5a + 9b + 16)
subtract (4a^2+11a+2) from both sides
x= 8x^2-6a+9b+14
Answer:
ello luv
Step-by-step explanation:
Using the model, approximate the number of ice cream cones sold when it is 85°F. Round your answer to the nearest whole number.
Answers
Answer:
76.1
Step-by-step explanation:
y = ice cream
z = Tempreature
y = 1.8(85) - 76.9
1.8(85) = 153
153 - 76.9 = 76.1
Answer:
76
Step-by-step explanation:
y = 1.8(85) - 76.9
y = 153 - 76.9
y = 76.1
and when you round to the nearest whole number,
y = 76
What is the y-intercept of y=4/3x+4
Answers
Answer:
4
Step-by-step explanation:
I looked it up. Hope this helps
Answer:
its 4 or -4
Step-by-step explanation:
I used The Using the slope-intercept
Directions: Write your own recipe for trail mix with a catchy name that will make people want to eat it. You can also create a slogan, logo, or package design for the mix. Your recipe must meet the following contest guidelines:
1. It must have at least five different ingredients.
2. The amount of each ingredient should be represented by a different mixed number.
3. The recipe must make exactly 10 cups of trail mix.
After you write your recipe, complete the following for your contest entry:
• Prove that your recipe makes exactly 10 cups.
• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups: 31 cup and 41 cup. You can use one or both of the measuring cups. Note: Depending on the fractions that you chose
for your ingredient amounts, it may not be possible to create each exact amount using only 13 and 14 measuring cups. If you need to, you can round your ingredient amounts using benchmarks and then explain how you would estimate that amount. For example, if you need 74 cup of an ingredient, 74
cup is slightly more than 12 cup. You could fill up your 14 measuring cup twice to make 12 cup of that ingredient, and then add just a tiny bit more to estimate 74 cup.
• Use equations or other models to show how you would measure each ingredient amount with only the two measuring cup sizes.
Answers
Answer:
add all of the # and that is your thing
Step-by-step explanation:
An item is priced at $13.11. If the sales tax is 5%, what does the item cost including sales tax?
OA. $0.66
OB. $19.67
OC. $26.88
OD. $13.77
