Answer:
Step-by-step explanation:
(0,2) (1,6) (2,10) are the three ordered pairs
Name the property that justifies the following statement: If 2x + 4 = y and y = 3x - 6 then 2x + 4 = 3x - 6.
9514 1404 393
Answer:
transitive property of equality
Step-by-step explanation:
The transitive property of equality says ...
if a = b and b = c, then a = c.
Here, we can use this form with ...
a = 2x+4
b = y
c = 3x-6
__
We have ...
a = b ⇒ 2x +4 = y
b = c ⇒ y = 3x -6
so, ...
a = c ⇒ 2x +4 = 3x -6 . . . . transitive property of equality.
_____
On the other hand, ...
The substitution property of equality says ...
if a = b, we can use b wherever 'a' is seen.
We can use this with ...
a = y
b = 3x -6
and do the substitution in the equation ...
2x +4 = y
Replacing y with its equal, we get ...
2x +4 = 'a' ⇒ 2x +4 = 'b' ⇒ 2x +4 = 3x -6 . . . . substitution property of equality
_____
Additional comment
These are two different ways to say that anything can be replaced by its equal.
Why do 25 ÷ 10 and 250 ÷ 100 give the same answer?
Answer:
One zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]
Step-by-step explanation:
[tex]25[/tex] ÷ [tex]10[/tex] [tex]=\frac{25}{10}=\frac{5}{2}[/tex]
[tex]250[/tex] ÷ [tex]100[/tex] [tex]=\frac{250}{100}=\frac{5}{2}[/tex]
Therefore,
[tex]25[/tex] ÷ [tex]10[/tex] [tex]=[/tex] [tex]250[/tex] ÷ [tex]100[/tex]
Here, 25 ÷ 10 and 250 ÷ 100 give the same answer.
Here, one zero can be cancel out from both the numerator and denominator of [tex]250[/tex] ÷ [tex]100[/tex]
Multiple Choice!!!!!!What congruence theorem can you use to show that the two skateboard ramps have the same height?
Answer:HL
Step-by-step explanation:
Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the length of his path to the nearest tenth of a foot
Answer:
37.7 feet
Step-by-step explanation:
Given that:
Measurements of Frankie's yard = 20ft x 32ft
He wants to build a path from one corner to another.
To find:
The length of path = ?
Solution:
Let us consider a rectangle [tex]ABCD[/tex] as shown in the attached image in the answer area.
We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.
To find the diagonal, we can use the Pythagorean Theorem.
We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.
According to Pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]
[tex]Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}[/tex]
An 8% increase from $7.50 per hour is
Answer:
$ 8.10
Step-by-step explanation:
8% from $ 7.50 is $ 0.60
$ 7.50 x 8/100 = $ 0.60
$ 7.50 + $ 0.60 = $ 8.10
HELP!! I don't understand!
Answer:
it is triangle
Step-by-step explanation:
it has 3 side
thank me later
Can someone please help
Answer:
-3/4 is correct answer
HURRY PLEASEEE!!!! it’s due soon!!
Answer:
Cost for 2 hours= $19
Step-by-step explanation:
11+4t
Answer:
2 hours: $19
t hours: 4t+11
Step-by-step explanation:
you pay 4 dollars per hour so it would be 4t and the entry fee is 11, so you add them together.
Solve the equation by factoring.
4x2 + 8x = 21
Answer:
answer =3/2 or x = -7/2
Step-by-step explanation:
....
What value of x is in the solution set of 9(2x + 1)< 9x-18?
O4.
O-3
) -2
)-1
Answer:
x < -3
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
9(2x + 1) < 9x - 18
Step 2: Solve for x
Distribute 9: 18x + 9 < 9x - 18Isolate x terms: 9x + 9 < -18Isolate x term: 9x < -27Isolate x: x < -3Here we see any value x smaller than -3 would work as a solution to the inequality.
The following rectangle has an area of 3x^2-5x-12. What are the possible side lengths, in terms of x? Explain your answer and justify how you know that the sides you found are possible lengths
Answer:
the possible side lengths:
3x+4 and x-3
Step-by-step explanation:
factorize the the expression and you will get two expressions in terms of x. those expressions are the lengths of the rectangle
[tex]3 {x}^{2} - 5x - 12[/tex]
1) write -5x as a difference
[tex]3 {x}^{2} + 4x - 9x - 12[/tex]
2) factor out x from the expression 3x²+4x
[tex]x(3x + 4) - 9x - 12[/tex]
3) factor out -3 from the expression -9x-12
[tex]x(3x + 4) - 3(3x + 4)[/tex]
4) factor out 3x+4 from the expression
[tex](3x + 4)( x - 3)[/tex]
the possible lengths are 3x+4 and x-3
to check whether the answer is correct, you can just multiply the both lengths using the area of rectangle formulae
area of rectangle formulae
[tex]length \times height[/tex]
(3x+4)(x-3)
= 3x²-9x+4x-12
= 3x²-5x-12 ( proven )
{16
x+y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?
Answer:
See below.
Step-by-step explanation:
It represents the coordinates of the point of intersection of the lines represented by the 2 equations.
Do you want them solved?
i will give brainlest
Answer:
Five
Step-by-step explanation:
Answer:
3(5-y)=4
Step-by-step explanation:
I'm new and a baby elefant
Answer:
cool
Step-by-step explanation:
Answer:
ok now h h h h h j j j m m n j oh g g g h j
solve for x parallel
h(x)= x^3 - 2x and g(x)= 3x +5 Find (h-g)(x)
Answer:
(h-g)(x) = x^3 - 5x -5
Step-by-step explanation:
h(x)= x^3 - 2x and g(x)= 3x +5
(h-g)(x) = x^3 - 2x -( 3x +5)
Distribute
(h-g)(x) = x^3 - 2x - 3x -5
Combine
(h-g)(x) = x^3 - 5x -5
which graph represents the equation (x-3)^2 + y^2 =16
Answer:
C
Step-by-step explanation:
Got it right
Answer:
Graph C
Step-by-step explanation:
Edge
The number of camera phones shipped globally can be modeled by the function y = 1.28e 1.31x where x is the number of years since 1997 and y is the number of camera phones shipped (in millions). How many camera phones were shipped in 2002? Please helpASAP
Answer:
895 million camera phones
Step-by-step explanation:
Since the function is modeled by;
y=1.28e^1.31x
Now between 1997 - 2002 we have 5 years. This means that x =5. So we have to substitute x = 5 into the function to obtain the number of camera phones shipped in 2002.
Therefore;
y=1.28e^1.31(5)
y = 895 million camera phones
1. What is 8 3/5 - 2 1/3
2. 4/25 x 15/16
3. 2/34 x 8
4. 6 5/8 x 3 1/2
5. 7/9 divided by 2/3
6. 5 2/3 divided by 2 5/6
The list below shows the results of a survey of favorite ice-cream flavors among middle-school students.
• 18 students voted for chocolate
• 12 students voted for strawberry
• 20 students voted for vanilla
What percentage of the students chose vanilla as their favorite ice-cream flavor?
Answer:
40%
Step-by-step explanation:
18+12+20=50
20/50×100=
40%
The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The rundown underneath shows the consequences of a review of the most loved frozen yogurt flavors among center school understudies.
18 understudies decided in favor of chocolate12 understudies decided in favor of strawberry20 understudies decided in favor of vanillaThe total number of students is given as,
Total = 18 + 12 + 20
Total = 50
Then the percentage of the students who chose vanilla as their favorite ice cream flavor will be given as,
P = (20 / 50) x 100
P = 0.40 x 100
P = 40%
The percentage of the students who chose vanilla as their favorite ice cream flavor will be 40%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
Why is the boxplot incorrect?
The following are the temperatures, in degrees
Fahrenheit, of 20 US cities on April 3rd. The boxplot
represents the data
42, 47, 48, 50, 50, 50, 51, 51, 52, 52, 54, 55, 55, 55, 56,
57, 58, 59, 59, 60
O The minimum temperature is 42°F, but the boxplot
shows 46°F.
O The maximum temperature is 60°F, but the boxplot
shows 66°F.
O The median temperature is 53°F, but the boxplot
shows 52°F.
O The first quartile temperature is 50°F, but the
boxplot shows 53°F.
April 3 Temperatures
46 48 50 52 54 56 58 60
Step-by-step explanation:
The minimum temperature is 42F, but the boxplot shows 46F
Answer:
A) The minimum temperature is 42°F, but the boxplot
shows 46°F.
I have a question on Khan Academy and it says super salad dressing is made with 8 mL of oil for every 3 ml of vinegar which of the following mixtures will take the same as super salad dressing
then it says choose 3 answers there's 5 choices a b c and d a is 80 ml of oil with 30 ml of vinegar
B is 3 ml oil with 8 ml of vinegar
C is 56 mL of oil with 21 mL of vinegar
d 40 mL of oil with 25 mL of vinegar
e is 48 mL of oil with 18 mL of vinegar
Answer:
e
Step-by-step explanation:
8ml x 6= 48ml of oil
3ml x 6= 18ml of vineger
Write an equation that will satisfy the x and y values in the table below.
Answer:
The equation that will satisfy x and y values in the table is y = 2x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line that represents the equation b is the y-intercept, value y at x = 0The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineFrom the given table
∵ x = 0 and y = 3, x = 1 and y = 5
∴ x1 = 0 and x2 = 1
∴ y1 = 3 and y2 = 5
→ Substitute them in the rule of the slope above
∵ m = [tex]\frac{5-3}{1-0}[/tex] = [tex]\frac{2}{1}[/tex]
∴ m = 2
∵ b is the value of y at x = 0
∵ y = 3 at x = 0
∴ b = 3
→ Substitute the values of m, b in the form of the equation above
∴ y = 2x + 3
∴ The equation that will satisfy x and y values in the table is y = 2x + 3
if the radius of a circle is 7 in what is the Circumference?
What is the Area of the circle?
Step-by-step explanation:
Circumference =perimeter so
perimeter of a circle is 2 pie r
7 years older than 2 times kates age what is the number if kate is 3
Answer:
13
Step-by-step explanation:
Find the area of a rectangular park which is 18 3/5m long and 50/3m broad.
Answer:
310 meter square
Step-by-step explanation:
Area of a rectangle = length x width
Area of the rectangular park = 18 3/5 x 50/3
= 93/5 x 50/3
= 930/3
= 310 meter square
NEED HELP ASSP!! please help!!??
Answer:
Step-by-step explanation:
this is a 30 60 90 triangle.. b/c 2 of the angles are given and you know the total is 180 around a triangle so the last angle is 30
also you know the hypotenuse of this triangle is 10 so use cos and sin to figure out the other sides
Use SOH CAH TOA to remember how the sin and cos functions fit on the triangle
CAH = Cos(Ф) = Adj/ Hyp we are given the Ф angle and we know the hypotenuse so solve for the Adj side
Hyp*Cos(Ф)= Adj
10 * Cos(60) = Adj
5 = Adj = y
Use Sin for the other side and the mnemonic to remember how it fits on the triangle and solve for the Opposite , since we don't know that .. yet
Sin(Ф) = Opp/ Hyp
Hyp * Sin (Ф) = Opp
10 * Sin(60) = Opp
10 *[tex]\sqrt{3}[/tex]/2 = Opp
5*[tex]\sqrt{3}[/tex] = Opp = x
:) I know Sin(60) = [tex]\sqrt{3}[/tex]/2 from a table and also my memory .. know that one from memory
a factor of all even numbers other than 1? pls answer quick
Which equations represent functions?
2x + 3y = 10
4x = 16
2x − 3 = 14
3y = 18
14.6 = 2x
Answer:
e represent a fraction happy to help
The bar chart shows the percent of times each color marble was drawn from a bag after 1000 draws with replacement after each draw. If there are 20 marbles in the bag, predict how many are red, how many are blue, and how many are white. Explain your reasoning.
Answer:
Following are the solution to this question:
Step-by-step explanation:
In this question, the graph file is missing so, its solution can be defined as follows:
When the bag includes 20 marbles, each will be drawn 5% of the time on average.
The bar chart shows that nearly 50% of the workforce red marbles are drawn, and about 25% of the time blue and white marbles are drawn. so, the equation is:
[tex]\to \frac{50\%}{5\%}= \frac{50 \times 100}{5\times 100}=\frac{50}{5} = 10 \ red \ marbles\\\\\to \frac{25\%}{5\%}= \frac{25 \times 100}{5\times 100}=\frac{25}{5} = 5\ blue \ marbles[/tex]
[tex]\to 5[/tex] white marbles are available in the bag.