Answer:
x = 18/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
5x + 2 = 20
Step 2: Solve for x
Subtract 2 on both sides: 5x = 18Divide 5 on both sides: x = 18/5Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(18/5) + 2 = 20Multiply: 18 + 2 = 20Add: 20 = 20Here we see that 20 does indeed equal 20.
∴ x = 18/5 is a solution to the equation.
The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
Find the equation of the line that passes through the given points. Write the equation in slope-intercept form.
(-2,-4) and (-4,-3)
Step-by-step explanation:
m=(y1-y)/(x1-x2)
m=(3-(-4))/(-4-(-2))
m=7/-2=-7/2
y=mx+c
y=-7/2x+c
3. Jackson answered 80o of the questions on his Science test correctly. Colton scored 10
out of 12. Who scored the highest score?
Answer:
i think they both scored the same
Answer:
Colton did.
Step-by-step explanation:
Jack's score was 80%.
Colton got a score of 83.33...
I got Colton's score by solving 10/12.
what is x in 4x²-12x+ 9 = 0
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
When the sum of a number, n, and 6 is divided by 4 the
result is equal to 5. Set up and solve an equation to find
the value of n.
Answer:
n = 14
Step-by-step explanation:
(n + 6)4 = 5
1. multiply by 4
n + 6 = 20
2. substract 6
n = 14
The required value of n is 14 in the given sum.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.
According to the given question, we can write the algebraic form would be as:
⇒ (n + 6)/4 = 5
Apply the cross-multiplication operation,
⇒ (n + 6) = 5 × 4
Apply the multiplication operation,
⇒ (n + 6) = 20
⇒ n = 20 - 6
Apply the subtraction operation,
⇒ n = 14
Therefore, the required value of n is 14.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Help for weather science
If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times
Answer:
3, by 100 times
Step-by-step explanation:
a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.
Kate and Nora each have a sum of money. The ratio of the amount of money Kate has to that of Nora is 3 : 5. After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9. Find the sum of money Kate had initially.
Answer:
900
Step-by-step explanation:
K N
3x 5x
3x+150:5x-150=7:9
3x+150/5x-150=7/9
9(3x+150)=7(5x-150)
27x+1350=35x-1050
27x-35x=-1050-1350
-8x=-2400
8x=2400
X=2400/8
X=300
Kate money 3x=3×300=900
Answer from abid58b
Write the ratio
2/3 /5
in simplest form
Answer:
A) 2/15
Step-by-step explanation:
So just divide it normally, do keep change flip
2/3*1/5
2/3 keep
divison change
Denomeinator, flip it, 5 to 1/5
now multiply
2/15
At its closest, Saturn is about 743,000,000 miles from Earth
At its closest, Saturn is about 743,000,000 miles from Earth. And a deep-space probe travels from Earth to Saturn at an average speed of 25,000 miles per hour.
Step-by-step explanation:
What is the oblique asymptote of g(x)= x^2-3x-5/x+2?
Answer:
excuse me these words are some other language
Answer:
It's y= x-5
Step-by-step explanation:
what is the square root of a perfect square always rational
Answer:
The square root of a perfect square will always be a whole positive or negative number
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST Question 8
Which pair of equations show below would have infinite solutions?
Answer
A Y = -2 + 8
y = 4x - 7
B y = x - 4
y = 3x - 2
C) x
x – 3y = -3
x – 3y = 6
D 3x +y = 3
6x + 2y = 6
Answer:
Step-by-step explanation:
a)y=-2x+8
y=4x-7
solution
b)y=x-4
y=3x-2
solution
c)x – 3y = -3
x – 3y = 6
no solution
d)3x +y = 3
6x + 2y = 6
infinite.
Answer: D
Step-by-step explanation:
solve for x
|2x-4|+6=8
Solve for x
|2x -4| + 6 =8
subtract 6 from both sides, then solve
|2x - 4| = 2 and |2x -4| = -2
2x - 4 = 2 2x - 4 = -2
+4 +4 +4 +4
2x = 6 2x = 2
divide by 2 to isolate the variable
x = 3 x = 1
Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?
Answer:
Step-by-step explanation:
180 degree rotation about point C prime composition reflected across line m
Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.
The y-coordinate of B" is 3
The coordinates of vertex B of quadrilateral ABCD is:
[tex]\mathbf{B = (-3,7)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{B' = (-3,-7)}[/tex]
The rule of 90 degrees clockwise rotation across the origin is:
[tex]\mathbf{(x,y) \to (y,-x)}[/tex]
So, we have:
[tex]\mathbf{B" = (-7,3)}[/tex]
Hence, the y-coordinate of B" is 3
Read more about transformation at:
https://brainly.com/question/18549175
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
toni can carry up to 15 lbs in her backpack. her lunch weights 1 lb, her gym clothes weight 2 lb, and her books (b) weight 3 lb each. How many books can she carry in her backpack?
Answer:
4 books
Step-by-step explanation:
15-3=12
12/3=4
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answer:
350miles
Step-by-step explanation:
At Open Skate Night, admission is $3.75 with a membership card and $5.00 without a membership card. Skate rentals are $3.00. The Moores paid $6 more for skate rentals than the Cotters did. Together, the two families paid $42 for skate rentals. How many pairs of skates did the Moores rent? The Moores rented 9 pairs of skates.
Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
I need help and D. Is x>-25
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
Can someone please help....I’m stuck
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 21
|miles per gallon. How many miles
can Juanita travel on 7 gallons of
gas?
21miles
Alex used the expressionanllon
7gallons
to find the
answer. Did Alex make a mistake? Answer Yes or No. hi
Answer:
147 gallons
Step-by-step explanation:
21 miles x 7 gallons
The equation y = 5x represents the amount of miles Fran runs in x days.
When a graph of this situation is drawn, what does the point (1, 5) on the graph represent?
A. The number of miles Fran runs each day.
B. The number of miles Fran runs on the first day.
C. The total number of miles Fran runs in five days.
D. The total number of miles Fran runs on the fifth day.
Answer:
b
Step-by-step explanation:
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
Let x= t+2 and y= t² Write an equation for y in terms of only X
Answer:
[tex] y = {x}^{2} - 4x + 4[ /tex]
Step-by-step explanation:
[tex] x = t + 2 \\
\implies \: x - 2 = t....(1) \\
y = {t}^{2} ....(2) \\
plug \: t = x - 2 \: in \: equation \: (2) \\
y = {(x - 2)}^{2} \\
\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]
What slope passes through the points (-1,5) and (3,-7) ?
PLEASE HELP!!!! WILL GIVE BRAIN I PROMISE.
Answer:
No, they are not inverses.
Step-by-step explanation:
To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:
(Remember that f(x)/g(x) and y are virtually the same)
y = -4x + 2
Switch x and y
x = -4y + 2
Now solve for y
x - 2 = -4y
[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]
Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.
I hope this helps!!
- Kay :)
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
Determine whether the ordered pair is a solution of the linear inequality.
x ≤ 3; (–2, 6)
Answer:
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Step-by-step explanation:
Given the linear inequality
x ≤ 3
substitute the value of x = -2
-2 ≤ 3
TRUE
It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.
Also,
[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]
Thus, -2 comes under the interval domain of the inequality (-∞, 3].
Hence, (-2, 6) is a solution to the linear inequality.
Can someone help me with this problem?
What is the perimeter of the shape below?
Answer:
what are the units?
Step-by-step explanation:
depends on the side of 1 square
if it is 1 unit, perimeter is 22 units