Answer:
4(1 – x) + 2 x = -3( x + 1)
first do 4 time 1= 4
then do 4 times x =4x
now the equation should look like this
4-4x+2x=-3(x+1)
then do the other side of the equation
-3(x+1)
=-3x-3
Now collect the like terms:
-4x-2x
now the equation should look like this
4-2x=-3x-3
now add 3x add on both sides
4-2x+3x=-3
put the 4 on the other side
-2x+3x=-3-4
now again collect the like terms (-2x+3x=1 which is just x and -3-4 =-7)
x=-7
answer
x=-7
Answer:
[tex]x=-7[/tex] PLEASE MARK ME AS BRAINLIEST
Step-by-step explanation:
[tex]4(1-x)+2x=-3(x+1)[/tex]
Distribute 4 through the parentheses
[tex]4-4x+2x=-3(x+1)[/tex]
Distribute -3 through the parentheses
[tex]4-4x+2x=-3x-3[/tex]
Collect like terms
[tex]-4x+2x[/tex]
Collect like terms by calculating the sum or difference of their coefficient
[tex](-4+2)x[/tex]
Calculate the sum
[tex]-2x[/tex]
[tex]4-2x=-3x-3[/tex]
Move variable to the left hand side and change its sign
[tex]4-2x+3x=-3[/tex]
Why move an expression to the right?
We want to move an expression to the right to write the equation in a specific way.
The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality
Step 1
Example
take the equation:
[tex]x+a=b[/tex]
We want the expression a to be on the right hand side of the equation.
Step 1
example(cont)
To move the expression to the right -hand side, use the addition property , and add -a to both sides of the equation:
[tex]x+a+(-a)=b+(-a)[/tex]
Simplify the left hand side and remove the parentheses on the right hand side:
[tex]x+a+(-a)=b+(-a)\\x=b-a[/tex]
Now the expression a is on the right hand side :
[tex]x=b-a[/tex]
Step 2:
Notice! when comparing the beginning and the ending equation, it seems like we just moved the expression to the right hand side and changed its sign:
[tex]x+a=b\\x=b-a[/tex]
This is a shorter way to use the same property.
Now came back to the original equation
[tex]4-2x+3x=-3[/tex]
Move constant to to the right hand side and change its sign
[tex]-2x+3x=-3-4[/tex]
collect like terms
[tex]x=-3-4[/tex]
calculate the difference
[tex]x=-7[/tex]
Why move a constant to the right?
We want to move a constant to the right because the mathematicians agreed upon a convention that the constants in the equation and inequalities always need to be on the right-hand side.
The opposite needs to be added to both sides to preserve the relation between the sides. That is called the addition and subtraction property of equality/inequality.
Step 1
example
Take the equation:
[tex]x+3=5[/tex]
We want the constant 3to be on the right hand side of the equation.
Step 1
example (cont)
To move the constant to the right-hand side, use the addition property, and add -3 to both sides of the equation:
[tex]x+3+(-3)=5+(-3)[/tex]
Simplify the left-hand side and remove the parentheses on the right - hand side:
[tex]x+3+(-3)=5+(-3)\\x=5- 3[/tex]
Now , all the constants are on the right- hand side:
[tex]x=5-3[/tex]
Step 2
Notice! when comparing the beginning and the ending equation, it seems like we just moved the constants to the right hand side and change its sign:
[tex]x+3=5\\x=5-3[/tex]
This is a shorter way to use the same property.
PLEASE MARK ME AS BRAINLIEST
y = 15x + 75
Interpret the slope
Answer:
15
Step-by-step explanation:
The equation of a line is y=mx+b
m= slope
m=15
slope =15
x-intercept(s): (−5,0)
y-intercept(s): (0,75)
PLEASE HELP Michaels home is 12 feet below sea level in his mothers home is 12 feet above sea level Michael says their homes are at opposite elevation is because they are in opposite directions is he correct? Explain. I only have 2 more days to finish my work!
Answer:
Yes, he is correct
Step-by-step explanation:
Represent Michael's home with M and his mother's with H
So, we have:
[tex]M = 12\ ft (below)[/tex]
[tex]H = 12\ ft (above)[/tex]
Required
Is Michael correct?
First, we get the numeric values of the given parameters.
Below sea level means negative:
So:
[tex]M = 12\ ft (below)[/tex] will be rewritten as:
[tex]M = -12[/tex]
Above sea level means positive:
So:
[tex]H = 12\ ft (above)[/tex] will be rewritten as:
[tex]H = 12[/tex]
Two numbers [tex]A\ and\ B[/tex] are said to be opposite if [tex]A + B=0[/tex]
For Michael to be correct:
[tex]M + H = 0[/tex]
Substitute values for M and H
[tex]-12 + 12 = 0[/tex]
[tex]0 = 0[/tex]
Hence, Michael is correct
Mr. T's Tea store has two kinds of tea. Tea A costs $9 per pound and Tea B cost $6 per pound. How many pounds of each should be combined to obtain 150 pounds of tea worth $8 per pound?
Answer:
y=447.3 pounds
x= 297.3 pounds
Step-by-step explanation:
Step one:
given data
Tea A costs $9 per pound and
Tea B cost $6 per pound.
let the number of pounds of Tea A be x
and for Tea B be y pounds
The total cost of the mixture = $8 per pound
hence
9x+6y=8---------1
The total weight of the mixture
150 pounds
x+y=150-----------2
Step two:
9x+6y=8---------1
x+y=150---------2
from eqn 2 x=150-y
put x= 150-y in eqn 1
9(150-y)+6y=8---------1
1350-9y+6y=8
1350-8=9y-6y
1342=3y
divide both sides by 3
y= 1342/3
y=447.3 pounds
put y= 447.3 in eqn 2
x+447.3= 150
x= 150-446=7.3
x= -297.3
x= 297.3 pounds
Gracie made cupcakes for a bake sale. She bought a cake mix for $4.79, a dozen
eggs for $2.99, a bottle of vegetable oil for $6.79, and a can of frosting for $5.25.
What were her total expenses for the cupcakes?
$21.45
$19.82
$18.92
Answer:
She spent 19.82 in all
Step-by-step explanation:
I added them
how many kilometers will a car travel in t hours at a rate of v km per hour
Answer:
vt km
Step-by-step explanation:
t - time
v - velocity
s - displacement (aka how many killometers)
the formula for s:
s=v×t
What is 4/5 + 3/4 I need it for my homework
Answer:
4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55
Step-by-step explanation:
This can be solved by first finding the highest common factors of denominators of the two fractions, i.e. 4 and 5.
The highest common factor of 4 and 5 can be found by multiplying the two numbers as follows:
The highest common factor of 4 and 5 = 4 * 5 = 20
This can now be used to solve 4/5 + 3/4 as follows:
4/5 + 3/4 = ((4 * 4) + (5 * 3)) / 20 = (16 + 15) / 20 = 31 / 20 = [tex]1\frac{11}{20}[/tex] or 1.55
Therefore, we have:
4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55
the length of a rectangular feild exceeds its breadth by 15m and perimeter is 90m. Find its area
Answer:
450
Step-by-step explanation:
Length = l
Breadth = b
l = 15 + b
Perimeter = 90
Perimeter = 2(l + b)
90 = 2(15 + b + b)
90 = 2(15 + 2b)
90 = 30 + 4b
90 - 30 = 4b
60 = 4b
60/4 = b
15 = b
Hence, l = 15 + 15 = 30
Area = l * b
Area = 30 * 15
Area = 450 unit²
Which table represents a linear function?
Answer:
The fourth option, it's the only FUNCTION that is also not exponential
Step-by-step explanation:
A rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of this rectangular prism in square inches?
Answer:
SA=78.5
Step-by-step explanation:
Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.
20+36+22.5=78.5
Please help!!! ASAP!
a bamboo shoot is 20 inches tall at day zero
Answer:
ok, and?
Step-by-step explanation:
Next time you post a question. Make sure it is complete
PLEASE HELP ME I ONLY HAVE 20 MINUTES!!!!
The height of a tennis ball
tossed into the air is modeled by h(x) = 40x -16x^2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground?
I’m pretty sure it’s D but I need an explanation why!!!
[tex]h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\[/tex]
Using the quadratic formula we get
[tex]x_1 = 0.5\\x_2 = 2.04[/tex]
Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds
To make a certain shade of green, Kyle mixes 2 cups of blue paint with 10 cups of yellow paint. If he needs to make more green paint but only has 1 cup of blue left, he will need cups of yellow paint
Answer:
he will need 5 cups of yellow paint
Step-by-step explanation:
10÷2=5, and that means he will need 5 cups of yellow paint per one cup of blue paint
kjdhkdjfhgksdjghkdfs
Answer:
40 is the answer
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
According to Greg, perfect cherry pies have a ratio of
240
240240 cherries to
3
33 pies.
How many cherries does Greg need to make
9
99 perfect cherry pies?
Answer:1200 pies
Step-by-step explanation: so like, its confusing with all this change into like weird stuff. but just multiply 240 by 5.
Fencing costs £13.25 per metre.
How much does 12.5 m cost?
Answer:
165.62500 or 165.625 (simplified
Step-by-step explanation:
In order to find the solution you need to multiply £13.25 by 12.5 m.
You can do this in a few ways:
£13.25^12.5£13.25 x 12.5Both of those will get you your answer
165.62500
MULTIPLE CHOICE
What do you get when you subtract the actual
number from the estimated number?
A. Absolute Value
B. Error
C. Percentage error
D. Sum
Answer:
C
Step-by-step explanation:
When you subtract the actual number from the estimated number then, its called 'Error''.
Option B is true.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
You subtract the actual number from the estimated number.
Now,
We know that;
To find the error , we subtract the actual number from the estimated number.
Hence, We get;
After subtract the actual number from the estimated number, the result is called ''Error''.
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ2
What is 1+1 need the answer ASAP.
Answer:
Step-by-step explanation:
2
Solve the inequality:
2x+4 ≥ 24
x ≥ 10
x ≥ 6
x > 10
x < 10
If 9 exercise books books cost N540.00 how many will 14 of such cost.
Answer:
840
Step-by-step explanation:
im probably wrong
Answer: 14 books will cost 840$
Step-by-step explanation: 540/9=60
60= cost of individual book
60*14=840
840= cost of 14 books
what is 15267 times 16459 then divide by 7?
Answer:
33297327
Step-by-step explanation:
(15267 * 15267) ÷ 7
= 15267 * 15267
= 233081289 ÷ 7
= 33297327
Hope this helps! :)
Use the coordinates of the labeled point to find the point slope equation of the line.
Answer:
B
Step-by-step explanation:
Here, we want to find the point-slope equation of the line
We start by getting the y-intercept of the line which is y = 3
The general equation of a straight line is;
y = mx + b
where b is the y-intercept
So, we have;
y = mx + 3
Now, to get m , we insert the point given on the like which is (2,-5)
x = 2 and y = -5
-5 = 2m + 3
-8 = 2m
m = -8/2
m = -4
So the equation of the line is;
y = -4x + 3
This is same as option B
Need help please !!!!
Answer:
3rd 1
Step-by-step explanation:
because ive done math for 17 years
A sunflower grows at a rate of 4cm each day.
How many days does it take to grow from a height of 80cm to more than 1.06m?
Answer:
6.5 days
Step-by-step explanation:
106 - 80 =26
26/4= 6.5 days
Answer:
for 80cm
1 =4 cm
x=80cm
4 cmx=80 cm
4 cm. 4 cm
x=20 days
Step-by-step explanation:
1 is equal to 4cm
there x is equal to 80cm
cross multiply
then divid though by 4 because it has letter x
and finally you 20 days as your answer.
Solve the inequality
Answer:
C. y<-4
Step-by-step explanation:
y/-2+3<5y/-2<5-3y/-2<2y<2x-2y<-4The price of an item has been reduced by 85% the original price was $95 what is the price of the item
Answer:
14.25
Step-by-step explanation:
95 x 0.85 = 80.75
95-80.75 = 14.25
x = 1
x = 2
x = 3
x = 4
Answer:
x=-12.8 or −64 /5
Step-by-step explanation:
ok easy as pie
interior plus exterior is 180 degrees
so 180-130=50
we know the last angle = 50
now lets add them all up and they should be equal to 180
all traingles interior angles add up to 180
180=(-21x+1)+(11x+1)+(50)
now solve
180=-21x+1+11x+1+50
180=-10x+52
52-10x=180
subtract 52
-10x=128
-12.8=x
x=-12.8 or −64 /5
Savannah wants to buy a new tablet that costs $140. She has a coupon expiring this week that is for 15% off any item. Next week, the tablet will be on sale for $125. When is it a better deal for Savannah to purchase the tablet, and why?
Answer:
Its better to buy this week because it is cheaper with using coupon.
Step-by-step explanation:
140 x 0.85 = 119
125 > 119
1:30 o clock in words
Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent $62 on 5 hostas and 4 pots of ivy. Danielle spent $144 on 8 hostas and 12 pots of ivy. What is the cost of one hosta?
Answer:
The cost of one hosta is $6
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.
In this case, the variables are:
x = price of a hosta .y = price of a pot of ivy.If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62
If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144
So, the system of equations to solve is:
[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]
One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.
Isolating y from the first equation:
[tex]y=\frac{62-5*x}{4}[/tex]
and replacing this expression in the second equation you get:
[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]
Solving:
[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]
8*x + 3*(62-5*x)=144
8*x + 3*62 - 3*5*x=144
8*x + 186 - 15*x=144
8*x - 15*x=144 -186
(-7)*x= -42
x= (-42)÷ (-7)
x= 6
The cost of one hosta is $6