Considering the definition of an equation and the way to solve it, the equation is y +(-3)=-8 and the solution is -5.
Definition of equationAn equation is an algebraic equality in which letters appear with unknown value.
In an equation appears:
The members, which are each of the expressions that appear on both sides of the equal sign The terms, which are the addends that form the members of an equation.The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Equation and solution in this caseBeing "y" a number, and knowing that sum of a number and -3 is -8, the equation in this case is:
y + (-3)= -8
Solving:
y -3= -8
y= -8 +3
y= -5
Finally, the number "y" is -5.
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Evaluate the expression when x =-4
Answer:
22. 2 (-4) = -8
23. (2(-4) + 11) = (-8 + 11) = 3
24. -3 (5 (-4) = -3 (-20) = 60
Answer:
22. 8
23. 3
24. -60
Step-by-step explanation:
You want the values of the given absolute value expressions when x = -4.
23. 2|x|The absolute value function changes the sign to positive, if it isn't already.
2|-4| = 2(4) = 8
24. |2x +11||2(-4) +11| = |-8 +11| = |3| = 3
25. -3|5x|-3|5(-4)| = -3|-20| = -3(20) = -60
r=6%
t=6years
I=480,00
p=?
Answer:
I=PRT/100
I100=PRT dbs by Rt
l100/RT = P
48000*100/6*6
P=
There are 4 green apples and 7 red apples in a basket.
(a) What is the ratio of all apples in the basket to red apples?
0
(b) What is the ratio of green apples to all apples in the basket?
0
Answer:
1) 7:4
2) 11: 7
Step-by-step explanation:
56% of the students at a collage are from in-state. aIf 4,620 students are from instate how many students attend the collage
A total of 2587 students attended the collage
How to determine the number of students in the college?From the question, the given parameters are:
Proportion of students = 56% are at the collage Total number of students = 4628The above parameters implies that
Number of students that attended = 56% x Total number of students
Represent the total number of students with x
So, we have the following representation
Number of students that attended = 56% * x
Where
x = 4620
So, we have
Number of students that attended = 56% x 4620
Evaluate the products
Number of students that attended = 2587.2
Approximate
Number of students that attended = 2587
Hence, 2587 of the students attended the collage
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Tammy must choose a number between 61 and 107 that is a multiple of 3,9 and 12. Write all the numbers that she could choose
Answer:
G LCM (least common multiple) of 3, 9, and 12. After doing that, find the number that is between 61 and 107.
Step-by-step explanation:
Least common multiple (lcm) is where g finds out the number that can be divided by all the numbers (3, 9, and 12 in this case) and still come out with a whole number.
Write an expression that is equivalent to 3(7+ x).
3(7+ x)= ? + ?x
Answer:
21 + 3x
Step-by-step explanation:
Its simple really. Just expanding the brackets by bringing the 3 inside the bracket :
3 × 7 = 21
3 × x = 3x
So our answer will 21 + 3x
Hope this helped and have a good day
Kevin bought a desk on sale for $280.80. This price was 36% of the original price.
What was the original price?
The original price of desk bought by kevin is $780.
What is original price?
To calculate the initial worth of a reduced or sale item, you wish to grasp the sale worth and also the discount proportion. The calculations embody an easy formula that divides the sale worth by the results of one minus the discount in proportion form.
Main body:
Let the original price of desk be x.
After sale price of desk - $280.80
According to question, 36% of original price is what kevin bought it for.
So the equation formed is,
⇒36% of x = 280.80
⇒0.36*x = 280.80
⇒x = 280.80/ 0.36
⇒x = $780
Hence the original price of desk is $780.
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A 150-pound person uses 5.6 calories per minute when walking at a speed of 4 mph. How long must a person walk at:
this speed to use at least 220 calories?
A person must walk for at least
(Round up to the nearest minute.)
minutes in order to use at least 220 calories.
The person must walk 2.61 miles to use 220 calories with speed of 4mph.
What is speed?
The pace at which an object's position changes in any direction is known as its speed. The distance traveled relative to the time it took to travel that distance is how fast something is moving. Due to its lack of magnitude and only having a direction, speed is a scalar quantity.
Here, At 4 mph 5.6 calories are used in = 1 minute
So, at 4 mph, 220 calories are used in,
=> 220/5.6
=> 39.28 minutes
Hence, a person must walk for 39.28 minutes to burn 220 calories.
To find the distance a person should walk, when the speed is 4 miles per hour.
In 60 minutes a person is walking = 4 miles
So, in 39.28 minutes a person will walk = 4/60*39.28
= 2.61 miles
Therefore The person must walk 2.61 miles to use atleast 220 calories.
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At one time the thickness of different gauges of stainless
steel were given in fractions of an inch. Today, these
thicknesses are listed as decimal numbers. Convert each of
the following fractional thicknesses to decimal form.
A fraction can be converted into decimal form by dividing it. The answer to these parts are in main body.
What is a decimal?
When we divide a whole into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number.
Main Body:
a) 15/32 = 0.4688
b) 13/64 = 0.2031
c) 9/16 = 0.5625
d) 5/8 = 0.625
e) 7/80 = 0.0875
f) 29/1280 = 0.0227
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please help me with these it is due tomm.
Answer:
1.) 10: 1, 2, 5, 10.
15: 1, 3, 5, 15,
Answer would be 5.
2.) 18: 1, 2, 3, 6, 9, 18
21: 1, 3, 7, 21
Answer would be 3.
3.) 12: 1, 2, 3, 4, 6, 12.
24: 1, 2, 3, 4, 6, 8, 12, 24.
Answer would be 12.
4.) 8: 1, 2, 4, 8.
20: 1, 2, 4, 5, 10, 20.
Answer would be 4.
5.) 14: 1, 2, 7, 14.
28: 1, 2, 4, 7, 14, 28.
Answer would be 14.
Step-by-step explanation:
Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.
Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of workers and the time they work. If 160 workers can produce 32 cars in 2 hours, find the number of workers that can produce 66 cars in 3 hours.
If 160 workers can produce 32 cars in 2 hours, The number of workers that can produce 66 cars in 3 hours is 220 .
How to find the number of workers?Using this formula
W = kC/H
160 = k(32 )/2= 17k
k = 160 /16
Hence,
W = (160 /16)C/H
W = (160 /16) (66/3)
W= 220 workers
Therefore we can conclude that 220 workers can produce the cars in 3 hours.
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Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 0 3 -2 4 -4
The equation of the line is will be y = -2x + 4.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Calculate the slope of the line,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2 - 0) / ( 2 - 1) = -2
The y-intercept will be calculated as,
y = mx + c
0 = -2 x 2 + c
c = 4
The equation of the line will be,
y = mx + c
y = -2x + 4
Therefore, the equation of the line will be y = -2x + 4.
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Una grúa está elevando 5 /7 de los 224 kg que puede elevar como máximo ¿Cuántos kilos está elevando?
The number of kilograms that the crane is lifting, based on the maximum it can lift and the proportion being lifted is 160 kilos
How to find the number of kilos?The number of kilos that the crane is lifting can be found by the formula :
= Maximum kilogram capacity x Proportion of maximum being lifted
Maximum kilogram capacity = 224 kg
Proportion of maximum being lifted = 5 / 7
The kilos being lifted by the crane is therefore :
= 224 x 5/7
= 1, 120 / 7
= 160 kilos
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The measure of an obtuse angle is A: greater than 0 and less than 90 degrees B: 90 degrees C. greater than 90 and less than 180 degrees
The measure of an obtuse angle is greater than 90° but less than 180°
What is an obtuse angle?An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.
An angle is the space between two intersecting lines or surfaces at or close to the point where they meet.
Angles are mostly measured in degrees. But it can also be measured in radian. Examples of obtuse angle are 91°, 100°, 150° e.t.c
Other examples of angles are acute angle, reflex angle , right angle.
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If 7-3(2x-1)=2x+26, then x=
The value of x in 7-3(2x-1)= 2x+26 is -4
What is linear equation?Linear equation is is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3= 0 has only one solution as x = -3.
To find x in 7-3(2x-1)= 2x+26 ,we solve the parentheses first which will give
7- 6x+3= 2x+26
collect the like terms
-6x-2x=26-3-7
-8x= 16
divide both side by -8
-8x/-8= 16/-8
therefore x= -2
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-3x + 6 = 4 - 6x
I kept getting 1.5 But it's not correct. ???
Answer:
-2/3 or -0.6666
Step-by-step explanation:
-3x + 6 = 4 -6x
Let's move the x to one side
-3x +6x=4-6
Combine like terms
3x = -2
Divide both sides by 3
-2/3=x
or -0.666666
need help pleaseeeeeeeeee
The value g(7) of the function g(x) = 7 / 8 x - 1 / 2 is 45 / 8.
How to solve function?A function relates each element of a set with exactly one element of another set (possibly the same set).
In a simpler term, a function relates an input to an output.
Therefore, let's find the value of g(7) for the function below:
g(x) = 7 / 8 x - 1 / 2
Hence,
g(7) = 7 / 8 (7) - 1 / 2
g(7) = 49 / 8 - 1 / 2
g(7) = 49 - 4 / 8
Therefore,
g(7) = 45 / 8
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Determine the center and radius of the circle with equation (x+3)² + (y − 2)² = 16
Answer: Center: (-3, 2). Radius: 4.
Step-by-step explanation:
The x-coordinate of the center of the circle is given by the constant within the parenthesis with variable x. Whatever number makes the equation x + 3 = 0 is the x-coordinate of the center of the circle, which in this case is -3.
The y-coordinate of the center of the circle is given by the constant within the parenthesis with variable y. Whatever number makes the equation y - 2 = 0 is the y-coordinate of the center of the circle, which in this case is -2.
The radius of the circle is the square root of the constant on the other side of the equation. So, r = [tex]\sqrt{16}[/tex] = 4.
The explanation is from the equation of a circle in a graph:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
h and k in this equation stand for the coordinates of the center of the circle, with h being the x-coordinate and k being the y-coordinate. IN your equation, we have:
[tex](x+3)^2 + (y-2)^2 =16[/tex]
Which can also be written as
[tex](x-(-3))^2 + (y-(2))^2=16[/tex]
See the correlation of numbers -3 and 2 with h and k?
Notice also how the equation contains [tex]r^2[/tex], so to find the radius you do [tex]\sqrt{r^2}[/tex].
Marco opened a savings account 10years ago. The account earns 5% interest,compounded annually. If the current balance is $400, how much did he deposit initially? Round your answer to the nearest cent.
Answer:
245.57
Step-by-step explanation:
[tex]P\left(1+0.05)^{10}=400 \\ \\ P=\frac{400}{(1.05)^{10}} \\ \\ P \approx 245.57[/tex]
Thelma and Patrick went to a cafe
for lunch. One of them is a
vegetarian. Thelma ordered a
turkey sandwich with extra
mustard. Who is the vegetarian?
Patrick is vegetarian and Thelma is non vegetarian.
What are vegetarian?
The practice of not eating any meat is known as vegetarianism. It might also mean avoiding eating any leftovers from animal slaughter. There are several reasons to embrace a vegetarian diet. Due to their respect for sentient animal life, many people refrain from eating meat.
Main Body:
As Thelma ordered Turkey sandwich with extra mustard and turkey is an animal , which makes her non vegetarian so it is obvious that Patrick is a vegetarian and Thelma is non vegetarian.
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1. Draw a picture, write and solve an equation to find Mary's weight, w, when she was 10 years old.
The Weight of Mary is 80. Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.
"Draw a picture" method ?Students who are having trouble solving a problem can use the "draw a picture" method to create a visual representation of the issue.
the justifications.
Inquiry 1.
Formula: w = 10 8 pound
Answer: x = 80 lb
Inquiry 2:
Formula: d = 108 lb - 8 pound
d = 72 lb
Explanation:
First of all
When Mary was born, she weighed 8 pounds.
Statement 2: Mary weight 10 times as much when she was 10 years old.
w = 10 8 pounds, or 80 pounds.
Description of the illustration:
She was born weighing 8 pounds, which is represented by each cell. The 10 cells indicate that the number 8 lbs. has been repeated 10 times.
Next, the sum of the multiplication is shortened:
8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80.
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Identify the solution set 3c-5-c=7+4c
Alton estimated that 260 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
The percent of error concerning Alton's estimated attendance and actual attendance at the band concert is 30%.
What is the percentage of error?The percent of error is a measure showing how big an error is between the estimate and actual results.
The smaller the percent of error the closer the estimate is to the actual observations, and vice versa.
Actual Observed Value = 200
Expected Value = 260
Percentage of error = (Expected Value - Observed Value) ÷ Actual Value
= (260 - 200)/200
= 60/200
= 0.3
= 30%
Thus, we can conclude that Alton made a 30% error in his estimate of attendance at the band concert.
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If 10 ops are equal to 1.63 sals, how many sals are equal to a book that costs
12.25 ops?
Answer:
if the selling price of the radio is Arya 4321 and loss e79 find the cost price of the radio
Subtract the linear expressions. Show your work.
(4-3x + 9x) - (-11-7x + 9)
Rewrite −12(4x + 5y) using distribution.
−48x + 60y
−48x + 5y
−48x − 60y
−4x − 17y
To distribute this, multiply each term in the parentheses by -12
-12(4x) + -12(5y)
-48x - 60y
Hope this helps :)
Comment if you need any more explanation
Answer:
-48x - 60y
Step-by-step explanation:
Distributive Property of multiplication over addition:
[tex]\boxed{a(b + c) = ab + ac}[/tex]
Apply the distributive property to the given expression:
[tex]\begin{aligned}-12(4x + 5y) & = -12 \cdot 4x + (-12) \cdot 5y\\& = -48x +(- 60y)\\&=-48x-60y\end{aligned}[/tex]
Therefore, the given expression rewritten using distribution is:
-48x - 60yGraph the following features:
Y-intercept=1
Slope- -2/3
The graph with the y-intercept of 1 and a slope of -2/3 is added as an attachment
What are linear equations?Linear equations are equations whose slopes are constant average rates of change.
How to graph the equation of the line?The given parameters are
y-intercept, c = 1Slope, m = -2/3A linear equation is represented as
y = slope * x + y-intercept i.e. y = mx + c
Substitute the known values in the above equation
So, we have the following equation
y = -2/3x + 1
Hence. the linear equation is y = -2/3x + 1
See attachment for the graph
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Write one quadratic equation that forms a graph through the points (−4,2) and (1,2) and has a
minimum value at the vertex.
Explain it in detail please
Quadratic equation that passes through the points (-4,2) and (1,2) and a form a graph of horizontal line y =2.
Graph is attached.
As given in the question,
Quadratic equation passes through the points (-4,2) and (1,2)
(x₁, y₁) =(-4,2)
(x₂ ,y₂) = (1,2)
(y-y₁)/ (x-x₁) = (y₂ -y₁)/(x₂ -x₁)
⇒(y-2)/(x +4) =(2-2)/)1+4)
⇒ (y-2)/(x+4) =0
⇒y -2 =0
⇒y =2
Quadratic equation formed from the given points (-4,2) and (1,2) is y =2.
which represents the horizontal line and does not have any vertex.
Graph of the quadratic equation y =2 is attached.
Therefore, quadratic equation that passes through the points (-4,2) and (1,2) and a form a graph of horizontal line y =2.
Graph is attached.
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1/3a^2+a=0
It's rather urgent, please or else I will fail my semester...
The solution of the equation given as 1/3a² + a=0 is a = 3
How to determine the solution to the equation?From the question, we have the following equation that can be used in our computation:
1/3a^2+a=0
Rewrite the equation properly
So, we have
1/3a² + a=0
Multiply through the above equation by 3
So, we have the following equation
3 * (1/3a² + a) =0 * 3
Evaluate the products
So, the equation becomes
a² + 3a = 0
Next, we divide through the equation by the variable a
This gives
a + 3 = 0
Subtract 3 from both sides of the equation
i.e. Add -3 to both sides of the equation
a = -3
The above equation cannot be solved further.
So, we leave it like that and stop solving
Hence, the solution to the equation is a = -3
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Solve the equation n x 5 = 5000 explain you solution
Answer:
1000
Step-by-step explanation:
n x 5 = 5000
n = 5000/5
n = 1000
