Answer:
[tex]\frac{5x-7}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6}[/tex]
Required
Express as a fraction
[tex]\frac{4x - 5}{2} - \frac{2x - 1}{6}[/tex]
Take LCM
[tex]\frac{3(4x - 5) - (2x - 1)}{6}[/tex]
Open bracket
[tex]\frac{12x - 15 - 2x + 1}{6}[/tex]
Collect like terms
[tex]\frac{12x - 2x- 15 + 1}{6}[/tex]
[tex]\frac{10x-14}{6}[/tex]
Simplify
[tex]\frac{5x-7}{3}[/tex]
3x + 5y = 7;( -1 , 2) write an eqautian thats perpidicaluar to the given line that passes through the given point
Answer:
5x -3y + 11 = 0 .
Step-by-step explanation:
Firstly let's find the slope of the line by converting the equation into slope intercept form as ,
=> 3x +5y = 7
=> 5y = 7 - 3x
=> y = (7-3x)/5
=> y = -3/5x + 7/5
On comparing this equation to the slope intercept form y = mx + c ,=> m = -⅗
Now the slope of the line perpendicular to this line will be , say m'
=> m' =- 1/m
=> m' = -1/-⅗
=> m = 5/3
Now the line passes through (-1,2 ) . so on using point slope form , we get ,=> ( x - x1) m = ( y - y1)
=> ( x - (-1)) × 5/3 = y - 2
=> ( x +1)×5 = 3( y -2)
=> 5x + 5 = 3y -6
=> 5x - 3y +5 +6=0
=> 5x -3y +11 = 0
• Hence the equation of line perpendicular to the given line is 5x -3y + 11 = 0 .
Help which one
A . (1/2)(4)(3)
B . (1/2)(4)(11)
C . (1/2)(4)(8)
D . (1/2)(8)(4)
9514 1404 393
Answer:
B. (1/2)(4)(11)
Step-by-step explanation:
The length of the base is the sum of the lengths that make it up:
3 + 8 = 11 . . . . feet
The height is 4 ft, so the area is ...
A = 1/2bh
A = 1/2(11)(4) . . . . . equivalent to choice B
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line
through the two points. Which equation represents Nolan's line?
O y = 2x + 1
O y = 2x +3
O y = ax + 2
O y = 3x + 5
Answer:
O y = 2x + 3
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
31
Step-by-step explanation:
Given :-
A right angled triangle with 2 sides 36 and 15.And we need to find the value of AB .
Pythagoras Theorem :-
In a right angled triangle the sum of squares of two smaller sides is equal to the square of Hypotenuse .Using that ,
[tex]:\implies[/tex] h² = p² + b²
[tex]:\implies[/tex] h² = 36² + 15²
[tex]:\implies[/tex] h² = 1296 + 225
[tex]:\implies[/tex] h² = 1521
[tex]:\implies[/tex] h = 31
Hence the value of Hypotenuse is 31 .
An equation is modeled. What value of x makes the equation true? Explain.
A) x = 7
B) x = -1
C) x = 1
D) x = -5
Answer:
B: x=-1
Step-by-step explanation:
5x+6=1
5x+6-6=1-6
simplify
divide by 5 on both sides
x=-1
each pack of sugar free gum at a store cost $0.89 including tax if Evan pays $10.00 and receives $0.21 in change how many packs of gum did he buy
Answer:
12
Step-by-step explanation:
The relative values of the mean and median for the original data set are typical of data that have a significant skew to the right. What are the relative values of the mean and median for the original data set
Answer: Your question has some missing data attached below is the missing data
Answer : Mean value is Greater
Step-by-step explanation:
The relative value of the mean for original data set is greater
Relative value of median for original data set is lesser
This is simply because the The distribution is generally skewed to the right ( Right skewed )
1. Name the angle below in four ways. Then classify it as acute, right, obruse, or straight.
Please anwser :/
Answer:
Ok so I know the angle is acute
Step-by-step explanation:
because the angle looks smaller than a 90 degree angle...
17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answer:
Step-by-step explanation:
17 students chose summer, 7 boys
Girls that chose summer= 17-7=10
Twice Girls chose summer over spring= 10÷2 =5
5 Girls chose spring, 4 Girls enjoy winter
The U.S. federal government conducts a survey of high school seniors concerning their plans for future education and employment. One question asks whether they are planning to attend a four-year college or university in the following year. Fifty percent answer yes to this question; that fifty percent is a: Question 2 options: parameter statistic variable data
Answer:
statistic
Step-by-step explanation:
how do you solve simple linear equations?
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Explanation:
The rules of equality tell you that you can do anything you like to an equation, as long as you do the same thing to both sides of the equal sign. This is the essence of Algebra, so is worth remembering. My teacher summarized it as "keep the equal sign sacred."
__
"Simple linear equations" come in several varieties. They are sometimes called "one-step", or "two-step", or "three step" linear equations, depending on how many steps are required to solve them. In what follows, we're using "x" as the variable, and the letters a, b, c, d as constants.
One-step
In general, the "one step" will be either an addition or a multiplication.
x + a = b . . . . an addition equation
ax = b . . . . . . a multiplication equation
The key in any case is to look at what is done to the variable and use an inverse operation to "undo" it. The opposite of addition is addition of the additive inverse (add the opposite). This is also called subtraction. For the addition equation, this looks like ...
x + a - a = b - a . . . . . . add (-a) to both sides (or subtract 'a')
x = b - a . . . . . . . . . . . the solution
The opposite of multiplication is multiplication by the multiplicative inverse (the reciprocal) This is also called division. For the multiplication equation, this looks like ...
ax(1/a) = b(1/a) . . . . . multiply by (1/a) on both sides (or divide by 'a')
x = b/a . . . . . . . . . . . the solution
__
Two-step
As with one-step linear equations, two-step equations come in some different forms.
ax +b = c
ax +b = cx
a(x +b) = c
In general, the two steps are an addition step and a multiplication step, not necessarily in that order. You will notice that the first step can transform the equation to a "one-step" equation. As before, inverse operations are involved, and whatever is done is done to both sides of the equal sign.
ax +b = c ⇒ ax = (c -b) . . . . subtract b to get a multiplication equation
In this next, we have the variable on both sides of the equal sign. we can put the variable on one side of the equal sign by adding the opposite of the term we don't want where it is. Leaving the constant alone, we can add (-ax) to both sides to get ...
ax +b = cx ⇒ b = cx -ax ⇒ b = (c -a)x
When you have numbers, you can go directly to (c-a)x by "combining terms". This is now the one-step multiplication equation.
Finally, another 2-step form is ...
a(x +b) = c ⇒ x +b = c/a . . . . . divide by 'a' to get an addition equation
This last equation can also be solved by using the distributive property first.
ax +ab = c . . . . . still a 2-step equation, now of the first type
__
Three-step
The most typical "3-step" linear equation is of the form ...
ax +b = cx +d
where both variables and constants are on both sides of the equal sign. As you may have noticed above, we prefer to have variables on one side and constants on the other side. So, add the opposite of the term you don't want where it is (to both sides, of course).
If we want variables on the left and constants on the right, we can add -cx and -b. The "3 steps" assume you do these as separate operations.
ax +b -cx = cx +d -cx ⇒ (a-c)x +b = d . . . a two-step equation
(a-c)x +b -b = d -b ⇒ (a-c)x = d-b . . . . a one-step multiplication equation
_____
Additional comments
There are some choices you can make that will tend to reduce errors. One of them involves selection of the variable term you want to eliminate (add the opposite of). Generally, if you choose the term with the lowest (most negative, left-most on the number line) coefficient, adding its opposite will result in a positive coefficient for the remaining variable term. Then when you divide by that coefficient, you're dividing by a positive number. Most folks perform arithmetic with fewer errors when they're working with positive numbers.
The general approach to any "solve for" situation is to look at what is done to the variable you're solving for. The Order of Operations is a useful lens for looking at this. When you list the operations, your "undo" sequence will start with the last operation on the list, and work backward.
Further note: your total comfort with doing arithmetic with any kind of numbers (integers, fractions, mixed-numbers, decimals, scientific notation, positive or negative) will aid you immensely. Always be careful with minus signs. They tend to get lost, forgotten, ignored, Be sure they don't.
two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths. what is the greatest possible length of these pieces so that no part of either pipe is left over in inches
Answer: 6
Step-by-step explanation:
Since we are informed that two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths and we want to know the number of pieces that they can be cut into.
This question simply means that we need to find the factors of both 42 and 54 and choose the highest.
42 = 1, 2, 3, 6, 7, 14, 21, and 42.
54 = 1, 2, 3, 6, 9, 18, 27, and 54.
Therefore, the highest common factor is 6. Therefore, the greatest possible length will be 6 inches
HELP ME W MY MATH IM BEGGINGM
Answer:
Year 1: 164.87
Year 2: 169.88
Year 5: 185.86
Step-by-step explanation:
She is earning 3% interest per year that compounds once yearly.
The density of a solid bar is 25 pounds per cubic foot. If the bar has a volume of 5.2 cubic feet, what is the weight of the bar?
NO LINKS PLSSSS
Answer:
the weight of the bar is 130 pounds
Answer: realsies
Step-by-step explanation: w manz
I-Ready Surface area of composed figures what is the surface area of this design
Answer: 512
Step-by-step explanation:
Hello, I hope the answer is correct if not let me know and i will work step by step on it with you. Your welcome and Happy to help.
The surface area of the design is 384 inches².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
The given design is a cube.
All the sides are of the length 8 inches.
The formula to find the surface area of a cube is,
Surface area = 6a², where "a" is the length of a side of the cube.
Given, a = 8 inches
Surface area of the design = 6 × 8²
= 6 × 64
= 384 inches²
Hence the given design has the surface area of 384 inches².
Learn more about Surface Area here :
https://brainly.com/question/29298005
#SPJ2
ANSWERRRRRRRRRRRRRRRRRRRR PLZZZZZZZZZZZZZZzz
Answer:
-1/3
Step-by-step explanation:
Find two points on the line (0,2) and (3,1)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (1-2)/(3-0)
= -1/3
Answer:
A
Step-by-step explanation:
1) take two points of the line
A(0,2) ; B(3,1)
2) use this formula for find the slope
(y2-y1)/(x2-x1)
(1-2)/(3-0)
slope = -1/3
how do you find the answer?5y+8=-6
Answer:
Step-by-step explanation:
5y+8=-6
-8
5y=-14/5
y=-2.8
Answer:
y = - 2.8
[tex]y=-2\frac{4}{5}[/tex]
Step-by-step explanation:
5y + 8 = - 6
5y + 8 - 8 = - 6 - 8
5y = - 14
5y ÷ 5 = - 14 ÷ 5
y = - 2.8
A quantity with an initial value of 760 grows exponentially at a rate of 90% every week. What is the value of the quantity after 49 days, to the nearest hundredth?
Answer: ≈67934.25
Step-by-step explanation:
Tyler has two cube-shaped storage spaces in his apartment building, one large and one
small. The small storage space has a volume of 12 ft. Tyler wants to know the total
volume of both storage spaces.
s = length (ft) of one side of the large storage space
• Which expression represents the total
volume of the two storage spaces?
8
12 ft3
38 +12
(s +12)
S
8
83 +12
$3 +12
Answer: s³ + 12
Step-by-step explanation:
The volume of a cube is gotten by using the formula:
Volume of cube = (side)³
Since there are two cubes. The volume of the bug cube will be:
= s × s × s = s³
Volume of small cube = 12ft³
Therefore, the expression represents the total volume of the two storage spaces will be:
= s³ + 12
6 friends share 10 pizzas equally plz help
Answer:
6/10 of the pizza.
IVE BEEN ASKING FOR AN HOUR PLEASE HELP!! PLEASE ANYONE!! solve for x
Answer:
[tex]\sqrt{3}[/tex] sqrt(3)
Step-by-step explanation:
Pythagroean theorem shows that x^2+sqrt(2)^2=sqrt(5)^2
In other words,
x^2+2=5
x^2=3
x=sqrt(3)
I can believe my teachers think i can do this
Answer:
Is that actually your hw-?
Step-by-step explanation:
Answer:
Well dang
Step-by-step explanation:
What is the median of this list of grades: 78,55,98,86,92,70,60 ?
Answer:
the median of this list is 78
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Question 4
10
Answer:
um what
Step-by-step explanation:
Mae is checking her bicycle’s wheel. The wheel has a radius of 28 cm, and its center is 42 cm above the ground. Mae is rotating the wheel at a constant speed of 190°/s. The height of a point on the tire as a function of time is given by h = 42 + 28 sin(190t), where h is the height in centimeters and t is the time in seconds. Find h when t = 2 s. Find your answer to the nearest tenth of a centimeter.
Answer:
B. 51.6
Step-by-step explanation:
All you have to do is find h when t=2, so just put h=42+28sin(380) into a calculator and you get 51.57656401...
Rewrite the function f(x)=2(x-2)^2+6 in the form f(x)=ax^2+bx+c.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
f(x)=ax²+bx+c
Simplify each term.
f(x)=2x²−8x+8+6
Add 8 and 6.
f(x)=2x²−8x+14
Step-by-step explanation:
what is quartile 1 and 3
Answer:
Q1 = 2
Q3 = 3
I think that's the answer
Hope this helps! (°◡°♡).:｡
Answer:
Q1 is 2 Q2 is 3
Just cut the list of number into quarters
Philip deposited $50 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
He will have $66.55 in 3 years.
Step-by-step explanation:
Given that,
Principal, P = $50
Rate of interest, R = 10%
We need to find the amount earned by him in 3 years. We know that, the final amount is given by :
[tex]A=P(1+\dfrac{r}{100})^T[/tex]
Put all the values,
[tex]A=50(1+\dfrac{10}{100})^3\\\\=50\times (\dfrac{11}{10})^3\\\\=\$66.55[/tex]
So, he will have $66.55 in 3 years.
How many total possible outcomes are there on a standard 6 sided die?
Answer:
6 (may change if multiple number cubes are used; 2 dice = 6^2, 3=6^3, so on)
please help school is literally about to end
Answer:
192 is the answer
Step-by-step explanation:
Answer:
SA = 272 sq in
Step-by-step explanation:
SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)
= 2(16) + 2(96) + 2(24)
= 32 + 192 + 48
= 272 sq in