Answer:
14=7(2x-4)
0r, 14/7 = 2x-4
or, 2= 2x-4
0r,2x= 6
or x=3
14=7(2x-4)
14=14x -28
14x=42
x=42/14=3
Method 1
Divide both sides by 7 first to get
14 = 7(2x-4)
14/7 = 7(2x-4)/7
2 = 2x-4
Then add 4 to both sides
2+4 = 2x-4+4
6 = 2x
2x = 6
Finally, divide both sides by 2
2x/2 = 6/2
x = 3
which is the final answer
------------------------------------------------------------------------------------------------
Method 2
Distribute the 7 through to each term in the parenthesis
14 = 7(2x-4)
14 = 7*2x + 7*(-4)
14 = 14x - 28
Then we follow similar steps as done earlier. Add 28 to both sides
14+28 = 14x-28+28
42 = 14x
14x = 42
Then divide both sides by 14 to fully isolate x
14x/14 = 42/14
x = 3
Either way we get the same result. As to which method you pick (if you could only choose one), its up to you based on whichever you find easier.
The basic idea with either method is that we follow PEMDAS in reverse to undo everything happening to x. This way we fully isolate it.
----------------
Checking the answer:
Plug x = 3 into the original equation. Simplify to get
14 = 7(2x-4)
14 = 7(2*3-4)
14 = 7(6-4)
14 = 7*2
14 = 14
This confirms the answer. As you can see, if we know the value of x, we use PEMDAS to simplify both sides. But if we don't know x, and want to find it, then we follow PEMDAS in reverse.
(-4.5)to the power of 0
Answer:
-1
Step-by-step explanation:
Solve.
2(7y - 5) = 4
Answer:
y=1
Step-by-step explanation
So basically 2 *7y is 14y and 2*5 equals 10
bring the 10 to the 4 and you have 14y=14
y=1
What is the measure of angle A?
Answer:
A = 29
Step-by-step explanation:
a triangle is equal to 180 so the bottom triangle you add 34 + 26 = 60 --> 180-60 = 120 ---> the triangle on top is 120 + 31 = 151 -----> 180-151 = 29
1. Ilove ordering cookies from Tiff's Treats (not
sponsored, although I wouldn't object!). If Tiff's
Treats charges a delivery fee of $1 and costs $8.50
per half-dozen, which equation relates my cost, c,
and the number of half-dozens, h, I ordered?
a) C = 9.500h
b) C = 8.50h + 1
c) c = h + 8.50
d) h = 9.50c
e) None of these
c = cost
h = # of half-dozens ordered
c = $8.50h + $1 is the correct answer.
During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in the height of the water over an 8 week period?
Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know [tex]x=8[/tex], since we need to find the change for 8 weeks.
[tex]y = -5\cdot 8[/tex]
[tex]-5 \cdot 8 = -40[/tex]
[tex]y=-40[/tex]
The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!
Answer:
40 inches evaporated
Step-by-step explanation:
5 in / week
Multiply 5 in by 8 wks
= 40 inches of water evaporated over 8 wks
Use estimation to determine the product of 15.4 and 5.7
Answer:
about 90
Step-by-step explanation:
15.4 rounds down to 15
5.7 rounds up to 6
15 × 6 = 90
Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room.
Answer:
10w+6 is the difference between the two areas
Step-by-step explanation:
for the old room:
l=2w
wich mean
Area_old=l*w=2w*w=2w²
for the new room:
L=l+2 since l=2w => L=2w+2
W=w+4
so
Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6
the difference is :
Area_new - Area_old= 10w+6
Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?
Answer:7.5 apples
Step-by-step explanation:
Let the number of mangoes be represented by m
Max has 5 more Apples than Mangos.
Therefore apples = m + 5
Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20
Mangoes = m
Apples = m+5
Peaches = 4m+20
Mangoes + Apples + Peaches = 40
m + m+5 + 4m+ 20 = 40
6m+25 = 40
6m = 40 - 25
6m = 15
m = 15/6
m = 2.5
Apples = m+5 = 2.5 + 5 = 7.5
Max has 7.5 apples
3^-4=????? HURRRRYYYYYYYYYYYYYYYYY
Answer:
Here’s the answer :)
Step-by-step explanation:
Answer:
[tex] {81}^{ - 1} \: or \: \frac{1}{81} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 4} [/tex]
Apply rule :
[tex] {a}^{ - 1} = \frac{1}{ {a}^{1} } [/tex]
[tex] \frac{1}{ {3}^{4} } = \frac{1}{81} \: or \: {81}^{ - 1} [/tex]
F(x)=-5x+8
What value of x would make f(x)=23?
Need Answers ASAP
Answer:
-3
Step-by-step explanation:
23=-5x+8
23-8=-5x
15=-5x
x=-3
Answer:
x=-3
Step-by-step explanation:
23=-5x+8
-8 -8
15=-5x
______
-5 -5
-3=x
[ 28 - (16 + 3) ] ÷ 3
Answer:
3
Step-by-step explanation:
By order of PEMDAS, perform math within parentheses first.
[tex](28 - 19) \div 3[/tex]
Continue with PEMDAS
[tex](9) \div 3[/tex]
Now, simply divide
[tex]9 \div 3 = 3[/tex]
what is each side of the square?
Answer:
S = 14.14
Step-by-step explanation:
The area of a square is S*S or S^2.
So, if we know that the area of the square patio is 200, we can say that
S^2 = 200.
S = sqrt(200)
S = 14.14 ft.
please answer this I really need it!
Answer: 4/49 m^2
Step-by-step explanation:
Multiply
2/7 x 2/7 = 4/49
Answer: 4/49 m^2
Step-by-step explanation:
Area of a square = side X side
Side is 2/7
So, Area = (2/7)*(2/7) = 4/49 m^2
Find the difference quotient and simplify the answer. g(x) = 3x - 1
Answer:
Consider the difference quotient formula.
f(x+h)−f(x) / h
Find the components of the definition.
g(x+h)=3h+3x−1
g(x)=3x−1
Plug in the components.
g(x+h)−gx / h = 3h+3x−1−(3x−1) / h
Simplify = 3
TWO QUESTIONS !! GEOMETRY
Answer:
1) y= 1x +1
2) -2/5
Step-by-step explanation:
5 + 1/ 4 + 2 = slope of 1
y-5 = 1(x-4) solve for y
y = 1x + 1
Translate each question.
Four times the difference of a number and 7 is 32
Use the ALEKS calculator to find 48% of 70. Do not round your answer.
Answer:
its 28
Step-by-step explanation:
hope this helps also u have to divide 70 divided by 48% in order to get 28
A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N
Answer:
74
Step-by-step explanation:
2(28x9)
74 is the perimeter
WILL GIVE BRAINLIST TO FIRST ANSWERER!!!!
Write the equation of each line in slope-intercept form
Answer:
y=-2/3 x +2
y=-x+2
Step-by-step explanation:
slope intercept form : y=mx+b
first find the slope :
two points from the graph : (0,2) (3,0)
y=b=2 when x=0 y = the constant b
m=(y2-y1)/(x2-x1)
m=0-2/3-0
m=-2/3
y=-2/3 x +2question 26: two points from graph: (0,2),(1,1)
b=2 ( when x=0, y=b=2)
m=1-2/1-0
m=-1
y= - x+2simplify 12-15÷3-3 pwease
Answer: -6
Step-by-step explanation: mark me as brainliest if i helped
The value of the expression is 4.
We have,
Expression:
12 - 15 ÷ 3 - 3
Now,
Apply PEMDAS.
Divide 15 by 3.
12 - 15/3 - 3
[ 3 x 5 = 15]
So,
12 - 5 - 3
12 - (5 + 3)
12 - 8
4
Thus,
The value of the expression is 4.
Learn more about expressions here:
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Which expression represents the perimeter of the rectangle above?
6x + 3
10x + 6
8x2 + 6x
12x + 6
Answer:
12x+6
Step-by-step explanation:
(4x+3)+(4x+3)+(2x)+(2x)
4+4+2+2=12, 3+3=6
12x+6
M(x)=x^2-3x
N(x)=x-5
MN(-1)= ?
A.18
B.-20
C.-22
D. -24
Answer:
d. -24
Step-by-step explanation:
M(-1)=(-1)^2-3(-1)
M(-1)=1+3
M(-1)=4
N(-1)=-1-5
N(-1)=-6
MN(-1)=(4)(-6)
MN(-1)=-24
4x+12y+4z=-16 12x-12y+8z=8 4x+12y-4z=0
Which graph shows a polynomial function of an odd degree?
Answer:
THE ANSWER IS C ON EDGE.
Step-by-step explanation:
If both sides of the graph are pointing in the same way, THE FUNCTION HAS AN EVEN DEGREE.
The degree of a polynomial is the highest power of the polynomial.
Graph 3 has an odd degree.
From the attachments, we have the following highlights
The first graph crosses the x-axis, 4 timesThe second graph crosses the x-axis, 6 timesThe third graph cross the x-axis, 3 timesThe fourth graph cross the x-axis, 2 timesThe above highlights mean that:
Graphs 1, 2 and 4 have even degrees, because they have an even number of x-interceptsGraphs 3 have an odd degree, because it has an odd number of x-interceptsHence, graph 3 has an odd degree.
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Enter the decimal 1.18 as an improper fraction in simplest form.
Answer:
59/50
Step-by-step explanation:
118/100 divided by 2/2
=59/50
Can someone please help? This is due today, and I have NO CLUE
Step-by-step explanation:
Multiplication......
Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5
Answer:
X=8
Step-by-step explanation:
First subtract the read pages with the unread pages which is 168.
Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8
Given f(x) = 2x + 1, find the range value if the domain value is 1.75.
Given:
The function is
[tex]f(x)=2x+1[/tex]
To find:
The range value if the domain value is 1.75.
Solution:
Domain is the set of input values and range is the set of output values.
Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.
Substitute x=1.75 in the given function.
[tex]f(1.75)=2(1.75)+1[/tex]
[tex]f(1.75)=3.5+1[/tex]
[tex]f(1.75)=4.5[/tex]
Therefore, the required range value is 4.5.
5+5=
9+3=
20+15=
25+38=
19. The midpoint of JK is M(0, 1). One endpoint is /(-6, 3). Find the coordinates of
endpoint K. (Section 1.3)
Answer:
(6,-1)
Step-by-step explanation:
let coordinates of K be (x,y) then
[tex]0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)[/tex]
The coordinates of endpoint K will be (6,-1).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
Given that the midpoint of JK is M(0, 1). One endpoint is (-6, 3). The other end will be calculated as below:-
0 = ( -6 + x ) / 2
-6 + x = 0
x = 6
The value of the y coordinate will be calculated as below:-
y = 2 - 3 = -1
Therefore, the coordinates of endpoint K will be (6,-1).
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