=============================================
Work Shown:
m/n = 5
m = 5n
m^2 - 25n^2 = (m)^2 - (5n)^2
m^2 - 25n^2 = (m-5n)(m+5n)
m^2 - 25n^2 = (5n-5n)(5n+5n)
m^2 - 25n^2 = (0n)(10n)
m^2 - 25n^2 = (0)(10n)
m^2 - 25n^2 = 0
-----------------
Another approach:
m/n = 5
m = 5n
m^2 = (5n)^2
m^2 = 25n^2
m^2 - 25n^2 = 0
-----------------
Consider the example that m = 10 and n = 2.
We can see that m/n = 10/2 = 5
Furthermore,
m^2 - 25n^2 = 10^2 - 25*2^2 = 100 - 100 = 0
I'll let you try out other examples.
A volleyball player has a assists per game during a 6 game match. The volleyball player has 42 assists during the entire match. Which equation can be used to find a?
Please I really need it :(
Answer:
6a=42
Step-by-step explanation:
This equation would be used to find a because we don't know how many assists are for each match. And multiplying the a by the 6 games would be equivalent to 42 assists for the entire match.
32. A student is in the process of solving an equation. The original equation and the first step are shown
below.
Answer:
Step-by-step explanation:
The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.
The student used additive commutative property for the first step.
What is an additive commutative property?According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.
The student used a + b = b + a
3a + b = 2 + 7 - 5a = 2 - 5a + 7
Because add two numbers, exchange the position of the addend, and sum of them remain same.
This is a additive commutative property.
Hence, the student used additive commutative property for the first step.
Learn more about additive commutative property here
https://brainly.com/question/15267352
#SPJ2
PLS HELP WILL GIVE BRAINLIEST NO DAM SCAMS
Answer:
From what I can actually read:
Step-by-step explanation:
289 x 76= 21946
25 x 68= 1700
36 x 75= 2700
200 x 60= 12000
200 x 70= 14000
683 x 18= 12294
548 x 63= 34524
629 x 8= 5032
529 x 37= 19537
548 x 63= 34524
100 x 10= 1000
551 x 64= 35264
456 x 12= 5472
42 x 8= 336
68 x 14= 952
And it dosen't matter if you have a multi- numberd equation, because either way you can use a calculator to do the math. and a trick for multiplying by 10 or 100 or 1000: is lets say you have 5 x 1000, instead of doing any math just multiply 1 x 5= 5 then add 3 zero's because 1000 has 3 zeros. You can do this with any number like 10,100,1000,10000 ; you could go on forever.
Help me with this assignment please I don’t understand it
Which of these strategies would eliminate a variable in the system of equation?
2x+3y=-5
2x-3y=10
One of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Eliminating variables from the system of equations?System of equations consists of a different set of equations with unknown variables.
Given the system of equations
2x+3y=-5
2x-3y=10
Since the coefficient of x from both equations are the same, we will subtract both equations to eliminate the variable "x"
(2x-2x)+(3y+3y) = -5 + 10
6y = 5
Hence we can conclude that one of the strategies that would eliminate a variable in the system of equations is by subtracting both equations to eliminate the variable "x"
Learn more on system of equations here: https://brainly.com/question/847634
How can you determine which part of the triangle is the base and which is the height?
1) Aladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
Answer:
0.75 feet
Step-by-step explanation:
Let's picture a right triangle, where :
AB = distance b/w bottom of ladder and bottom of wall = 3 feetAC = length of ladder [what we need to find!]BC = distance b/w top of building and bottom of ladderLet the height of the ladder be x.
Then, taking the ratio b/w the adjacent and opposite sides...⇒ tan 14° = 0.249⇒ tan 14° = x/3⇒ x/3 = 0.249⇒ x = 0.249 x 3⇒ x = 0.747 ≅ 0.75 feetAnswer:
0.748 ft (nearest thousandth)
Step-by-step explanation:
Use the tan trig ratio:
[tex]\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = 14°O = xA = 3 ft[tex]\implies \tan(14)=\dfrac{x}{3}[/tex]
[tex]\implies x=3\tan(14)[/tex]
[tex]\implies x=0.7479840085...[/tex]
Therefore, the ladder reaches up the wall 0.748 ft (nearest thousandth)
Riccardo Frierson deposits $1,200 in savings account. The account pays a 3.5% annual interest rate. He makes no other deposits or withdrawals. How much simple interest does his account earn in 6 months?
Answer: 25
Step-by-step explanation:
Here are two squares, A and B.
B
The length of the side of square A is 50% of the length of the side of square B.
Express the area of the shaded region of square A
as a percentage of the area of square B.
Answer:
The shaded region of A is 12.5% of the area of B.
Step-by-step explanation:
Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%
Answer:
12.5%
Step-by-step explanation:
Since it given that the length of the sie of a square A is 50% of the length of the side of square B. As well as given us the question we need to find the answer to which is:
Express the area of the shaded region of square A as a percentage of the area of square B.
What we need:
Area of shaded region of Square A as a % of Area of Square B
Now we can solve but first :
Let "b" be the side length of Square B
Let "a" be the side length of Square A
As well as:
It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,
a = ½b
Area of a square = s², where s is the side length
Area of Square A = (½b)² = b²/4
Area of Square B = b²
Finding the area of the shaded region of the Square A = ½ of area of Square A.
Area of shaded region of Square A = ½*(b²/4) = b²/8
Expressing the area of the shaded portion of square A as a percentage of are of Square B:
Area of shaded portion of Square A ÷ Area of Square B × 100%
Solving:
⇒ [tex]\frac{\frac{b^2}{8}}{b^2}\times100[/tex]
⇒[tex]\frac{b^2}{8}\times\frac{1}{b^2}\times100[/tex]
⇒ [tex]\frac{b^2\times1}{8\timesb^2}\times100[/tex]
⇒ [tex]\frac{b^2}{8\times b^2}\times100[/tex]
⇒ [tex]\frac{1}{8}\times100=12.5[/tex]
Base on the solving above we can conclude that:
The area of the shaded region of Square A is 12.5% of the area of Square B.
~[DiscordUser]~
Question 4 of 30
An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes. The pump should
programmed to deliver _mL/hr.(round to the nearest whole number)
Continue
Ratios are written as fractions or in the form a:b. The pump should be programmed to deliver 133mL/hr
Ratios and proportionRatios are written as fractions or in the form a:b.
According to the question, An IV piggyback (IVPB) of 10,000 units/100 mL is to be given over 45 minutes.
We are to determine the number of mL to be given in 60 minutes (1 hr)
100mL = 45 minutes
x mL = 60 minutes
Take the ratio
100/x = 45/60
Cross multiply
45x = 6000
x = 6000/45
x = 133mL/hr
Hence the pump should be programmed to deliver 133mL/hr
Learn more on ratio and proportion here: https://brainly.com/question/2914376
What is the distance between points (8,3) and (53,31) on a coordinate plane?
Answer:
53 units
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]
Thus, the distance between the two points is 53 units
whats -2( 20x + 2) = -36
Answer:
[tex]x= \dfrac 45[/tex]
Step by step explanation:
[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]
PLEASE HELP
What is the product of (-a + 3)(a + 4)?
A. - a2 - a - 12
B. a2 - a + 12
C. - a2 - a + 12
D. a2 - a - 12
Answer:
-a^2-a+12
Step-by-step explanation:
Answer:
Option C.
[tex]-a^{2}-a+12[/tex]
Step-by-step explanation:
1. Distributive multiply
[tex]-a*(a+4)+3*(a+4)[/tex]
2. Distributive multiply
[tex]-a*a-a*4+3*(a+4)[/tex]
3. Multiply terms to exponential form
[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]
4. Multiply constants
[tex]-a^{2}-4*a+3*(a+4)[/tex]
5. Distributive multiply
[tex]-a^{2}-4a+(3*a+3*4)[/tex]
6. Multiply constants
[tex]-a^{2}-4a+(3a+12)[/tex]
7. Reorder terms
[tex]-a^{2} -4a+(12+3a)[/tex]
8. Add terms
[tex]-a^{2}-a+12[/tex]
if right I might mark brainiest. try to solve it if you dare x3+y3+z3=k
Answer:
3(x+z+y)=k
Step-by-step explanation:
PLSSSSS HELP!!!!
I WILL GIVE BRAINLIEST!!!!
Answer:
2.924
Step-by-step explanation:
First you'll solve the parenthesis:
...- (5.5-5.5)
...-(0)
Now solve the equation:
[tex]\sqrt[3]{5^{2} - 0}[/tex]
[tex]\sqrt[3]{25}[/tex]
Now solve fully
I hope this helps :)
Answer:
the answer is 3 times the square root of 27
Step-by-step explanation:
help pls
find x and y
Answer:
x = 8, y = 6/√3.
Step-by-step explanation:
The smaller triangle and the larger triangle are similar.
4 / 4√3 = (x - 6) / y
1/√3 = (x - 6) / y
Also
y/6 = 1/√3
⇒ √3y = 6
⇒ y = 6/√3
Substitute for y in the first equation:
1/√3 = (x - 6) / 6/√3
⇒ 1/√3 * 6/√3 = x - 6
⇒ x - 6 = 2
⇒ x = 8
Question 7 options:
5/7
7/5
2
9/7
Answer:
5/7.
Step-by-step explanation:
The rise = 5 and the corresponding run si 7.
Answer:
5/7
Step-by-step explanation:
so we start at the point (0,0). the slope is essentially
Rise/Run
so in this graph we see a point of (7,5)
the rise was 5 along the y axis and the run was 7 along the x axis.
so 5/7 is correct
a florist sold bouquets of red roses to 15 of the first 20 customers who came into his shop. What is the experimental probability how many bouquets of red roses should the florist express to sell on a day with 120 customers?
Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨
Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.
a porsche, can travel 576 m in 32 s. what is its average speed?
Step-by-step explanation:
Displacement = 576 m
Time taken = 32s
Now
[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]
What is the domain of the function on the graph? 5 01 4. 3 O all real numbers all real numbers greater than or equal to 0 all real numbers greater than or equal to -2 all real numbers greater than or equal to -3 2 1 + 5 4 3 2 1 1 2 3 4 5 X -21 -3+ -4 J
Option (4) all real numbers greater than or equal to -3
Step-by-step explanation:
Domain: Domain of function is defined by the x-values (Input values) on the graph.
Range: Range of a function is defined by the y-values (output values) on the graph.
x-values are starting from (-3) to infinity.
Therefore, domain of the function will be all real numbers greater than equal to (-3). Option (4) will be the answer.
The domain of the function are all real numbers greater than or equal to -3.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given is a graph, we need to find domain of the function on the graph,
Domain is the set of all possible inputs or x-values, for which the given function is defined.
The given graph is defined form -3 to positive infinity. The point -3 included in the set of input because there is a closed circle at x=-3.
So, domain of the function are all real numbers greater than or equal to –3.
Hence, the domain of the function are all real numbers greater than or equal to -3.
Learn more about function, click;
https://brainly.com/question/12431044
#SPJ7
Can someone help me please, its for plato algebra 2-1
Answer:
5
Step-by-step explanation:
Simplification:
[tex]\sqrt{2^3-7} + |-4|[/tex]
[tex]\sqrt{1} + 4[/tex]
1 + 4
5
Solve for x and round to nearest tenth please:)
Answer:
Step-by-step explanation:
[tex]Sin \ 23^ \circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]
[tex]\sf 0.3907 = \dfrac{ x}{7}\\\\\\0.3907*7 =x[/tex]
x = 2.7
Answer:
x = 2.7 to nearest tenth.
Step-by-step explanation:
sin 23 = x / 7
x = 7 sin 23
x = 2.735
There are 1,000 balls in a container. All of the balls are the same size and shape. In the container, there are 400 red balls; 250 orange balls; 100 green balls; and 250 yellow balls. A student will pick one ball at random from the container. What are the probabilities that the student will pick a ball that is either red, orange, or green? Select the three correct probabilities.
A) Red = 1/4
B) Red = 0. 4
C) Orange = 1/4
D) Orange = 0. 4
E) Green = 0. 1%
F) Green = 10%
Determine Number of Solutions in System
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
As both left side is same
Slopes are equalThere is no solutions .
Answer:
no solutions
Step-by-step explanation:
Given equations:
Equation 1: [tex]-x+y=8[/tex]Equation 2: [tex]2x-2y=-14[/tex]Rewrite the given equations to make y the subject:
Equation 1
[tex]-x+y=8[/tex]
[tex]\implies y=x+8[/tex]
Equation 2
[tex]2x-2y=-14[/tex]
[tex]\implies 2y=2x+14[/tex]
[tex]\implies y=x+7[/tex]
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.
Find the length indicated. Round answer to the nearest tenth.
Please and thank you so very much!!!!! See picture for the full problem.
Answer:
18.1
Step-by-step explanation:
All radii of a circle are congruent (same length), which means if we draw in a radius from the center to the end of the 16.3, it would be the same length of x.
Now we can use sa very simple theorem.... the pythagorean therom!
[tex]7.9^{2} + 16.3^{2} = x^{2} \\62.41 + 265.69 = x^{2} \\328.1 = x^{2} \\18.1 = x[/tex](rounded)
I hope this helps you.
7.9, 7.8, 7.7, 8.8, 9.2, 8.7, 7.3, 8.0, 7.9, 7.6
What is the Mean??
Answer:
8.09
rounded to the nearest tenth ; 8.1
Step-by-step explanation:
Mean is adding all the data together than dividing by the number of data points
7.9 + 7.8 =
15.7 + 7.7 =
23.4 + 8.8 =
32.2 + 9.2 =
41.4 + 8.7 =
50.1 + 7.3 =
57.4 + 8.0 =
65.4 + 7.9 =
73.3 + 7.6 =
80.9
80.9 / 10 = 8.09
rounded to the nearest tenth = 8.1
PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue
Answer:
Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}
= 6
Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}
=4
P( A is besides C)= 4/6
= 2/3MARK ME AS BRAINLISTWhich statute generates statistical data that is generally cited to support findings.
The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.
What is statistical data?It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.
In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.
Learn more about statistics on:
https://brainly.com/question/15525560
There are a total of 165 dogs and cats waiting for homes at the Grand Strand Humane Society. The number of cats is 24 less than twice the number of dogs.
Part A: Identify both variables you are using, then write equations to represent both situations
Part B: How many dogs and cats are waiting to be adopted in the shelter? You must show work. Write your answer in the form of a sentence
Answer:
Part A
Let d = number of dogs
Let c = number of cats
Given:
total of 165 dogs and cats⇒ d + c = 165
Given:
The number of cats is 24 less than twice the number of dogs⇒ c = 2d - 24
Part B
Substitute c = 2d - 24 into d + c = 165 and solve for d:
⇒ d + 2d - 24 = 165
⇒ 3d - 24 = 165
⇒ 3d = 189
⇒ d = 63
Substitute found value of d into d + c = 165 and solve for c:
⇒ 63 + c = 165
⇒ c = 102
Therefore, 63 dogs and 102 cats are adopted in the shelter.
f(x)= -2x^2
what is the vertex of this and/or how do you find the vertex??
Answer:
(0,0)
Step-by-step explanation:
x value of vertex = -b/2a
ax^2+bx+c
-2x^2+0x+0 sinc you have no value of b & c in your quadratic function
-b = 0
2a = (2)(-2)
-b/2a = (0/-4) = 0
x value of the vertex = 0
plug 0 in for all values of x in the function to find y coordinate value
-2(0)^2 = 0
(x,y) = (0,0)