Answer:
A
Step-by-step explanation:
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
300 Backpacks each week]
Step-by-step explanation:
dont have an explanation srry but the answer is totally 300 backpacks a week
Answer:
30
Step-by-step explanation:
Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?
Answer:
She sold $1,711 in make-up.
Step-by-step explanation:
She sold x.
For the first $500, she gets 18% = 0.18.
For the balance(x - 500), she gets 22% = 0.22.
So her total earnings can be modeled by the following equation:
[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]
[tex]E = 90 + 0.22*(x - 500)[/tex]
She made $356.42 in commission. How much did she sell in make-up?
So
[tex]356.42 = 90 + 0.22*(x - 500)[/tex]
[tex]90 + 0.22x - 110 = 356.42[/tex]
[tex]0.22x = 356.42 + 20[/tex]
[tex]x = \frac{376.42}{0.22}[/tex]
[tex]x = 1711[/tex]
She sold $1,711 in make-up.
Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image*
Answer:
Step-by-step explanation:
Hard to figure out huh
Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.
Answer:
[tex]73\%[/tex]
Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]
[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]
Monica's family is thinking about going on a vacation. They are debating about whether
to go to Florida, Italy Mexico, or England. They are also trying to decide whether to go for
1 or 2 weeks. List the sample space (all of the possible outcomes) for their vacation
Destination
Vacation
Florida, Italy,
Mexico, England
1 week, 2 weeks
Answer:
{FL1, FL2, IT1, IT2, ME1, ME2, EN1, EN2}
Step-by-step explanation:
This is each location paired with one week, and each location paired with two weeks.
Answer:
c
Step-by-step explanation:
please help i will mark brainly !
Answer:
1 hour and 20 minutes
Step-by-step explanation:
Answer:
Total time taken by Natalie to reach the airport is 1 hour and 20 minutes
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
I need this done please help in the picture
Answer
7.85
but I not sure JutMon21 know the problem
Answer:
I got 7.85
Step-by-step explanation:
First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85
ZB=
Round your answer to the nearest hundredth.
С
2
А
3
?
B
Answer:
B = 41.81
Step-by-step explanation:
sin B = opposite/ hyp
sin B = 2/3
Take the inverse sin of each side
sin ^-1 sin (B) =sin ^-1 (2/3)
B =41.8103149
To the nearest hundredth
B = 41.81
A sphere has a radius of 6. Using 3.14 for pi, what is the volume?
Answer:
v= 904.78
Step-by-step explanation:
Answer:
904.77868423386 feet^3
Step-by-step explanation:
Step one the formula is 4/3 Pie R ^3
Step two you do 4/3 x PI x 6^3
Step three do exponents first so 6x6x6=216
Step four multiply 4/3 x 3.14 which equals 4.187
Step four finally you are going to multiply 216 by 4.187 to get 904.77868423386 feet^3
I need someone to answer this as fast as possible
Answer:
4/8+1/8=5/8
Step-by-step explanation:
Answer:
4/8 + 1/8 = 5/8
Step-by-step explanation:
To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!
Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14
Answer:
1. x=3, y=1
2. x=1, y= 1
3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)
4. x=1 , y=2
Step-by-step explanation:
This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.
A rectangle is sometimes, always, never similar to another rectangle
Two rectangles can be similar, but that's not always guaranteed.
In fact, similar shapes have the same angles and correspondant sides in proportion.
All rectangles will always have four right angles, so we only have to worry about the sides.
Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].
Then, the two rectangles are similar if and only if
[tex]a\div c=b\div d[/tex]
So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).
Molly wants to put a fence around an area. The fence will follow the diagram of the triangle shown below. (Look at picture) About how much fencing does Molly need?
Answer:
Step-by-step explanation:
43feet
The table represents the equation y=8x what y-value is missing from the table
Answer:
Step-by-step explanation:
There must be an attachment. I have no knowledge of what to solve for, unless you can tell or show me the missing pieces.
Answer: 1, 3 , 5, and 6
I took the test have a great day!
PLEASE HELP !!! ASAP
Which angle is coterminal to 2pi/3
the correct answer is -4π/3.
helppppppppppppppp meeeeeee
1x1x1. That's pretty much the definition of
Answer: 1 cubic foot, last choice
If two pyramids have the same heights what must be true of the pyramids for them to also have the same volume
Answer:
It is possible, but you must first measure the width.
Step-by-step explanation:
It is possible, but you must be sure.
Answer:
they whould need diffrent width and length
Step-by-step explanation:
imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter
Which expression is a difference of squares with a factor of 2x + 5
[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5
because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]
The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].
What is the Difference of squares formula?Given:
2x + 5
To find:
The expression is a difference of squares with a factor of 2x + 5.
Step 1
The difference of squares formula is given by
[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]
We have been given that one factor is 2x + 5.
Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]
Step 2
It means that the other factor must be (a - b) = (2x - 5)
Hence, in order to expression, we can multiply the factors.
(2x + 5)(2x - 5)
Step 3
Using the difference of squares formula
(2x + 5)(2x - 5)
[tex]$&=(2 x)^{2}-5^{2} \\[/tex]
[tex]$&4 x^{2}-25[/tex]
The required expression exists [tex]$4 x^{2}-25$[/tex].
Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].
To learn more about difference of squares formula
https://brainly.com/question/1973152
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What is the slope of the line graphed in the picture
Answer:
-1
Step-by-step explanation:
Take the two points
(-2,4) and (4,-2)
And we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-4)/( 4 - -2)
=(-2-4)/(4+2)
= -6/6
= -1
which one would you choose and please explain why
Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of base that are congruent.Is chuck correct?Explain your reosining.
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
1. Chuck wants to draw three-dimensional figures whose lateral faces are rectangles. He says he can draw prisms and pyramids. Do you agree
No, I do not agree because:
The lateral faces of a pyramid are triangles The lateral faces of a prism are rectangles2. Part B. Chuck says that he can draw a cylinder on his polyhedron poster because it has a pair of bases that are congruent.
No, do not agree because:
A cylinder has two congruent bases but it is not a polyhedron while a cylinder has a curved surface when a polyheron has faces that are polygons
Hope it will find you well.
The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x
Answer:
x is 31.5°
Step-by-step explanation:
Here, we have each interior angle of a regular octagon = 135°
Each interior angle of a regular pentagon = 108°
Therefore, 135° + 108° + ∡B = 360°
Hence, ∡B = 360° - (135° + 108°) = 117°
Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))
Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB from which we have;
∡x + ∡CFB + 117° = 180°
∴ ∡x + ∡CFB = 180° - 117° = 63°
Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives
2·∡x = 63°
Hence, ∡x = 63°/2 = 31.5°
∡x = 31.5°.
I need help please help
Answer:
a) 60 times
b) 0.24
c) 150 times
Step-by-step explanation:
The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.
Pythagorean theorem :
There’s no diagram or anything. You can just make a triangle ? :)
Looking for A
A= ?
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3
Answer:
This first expression is correct
V= 2/3*pi*r³
Step-by-step explanation:
This problem bothers on the volume of a cone
We know that the volume of a cone is expressed as
V= 1/3πr²h
Given that h= 2r
Let us substitute h=2r in the formula above
V= 1/3πr²*2r
V= 2/3πr³
The Answer Is:
2/3pix^3
Place parentheses around one operation and two numbers to make this equation true. Then solve it, showing all of your steps. 64 - 8 + 12 x 2 + 9 = 188
Answer:
64 - 8 + 12 x (2 + 9) = 188
Step-by-step explanation:
64 - 8 + 12 x 2 + 9 = 188
Putting parentheses around two numbers and one operation:
64 - 8 + 12 x (2 + 9) = 188
Following the BODMAS principle
Solving the bracket or parentheses first
(2 + 9) = 11
64 - 8 + 12 × 11
Then multiplication:
12 × 11 = 132
64 - 8 + 132
Then addition:
-8 + 132 = 124
64 + 124 = 188
Hence the proof
