Find the solutions to x2 = 20.
O A. X = +52
O B. x = +2/10
OC. x = +2.5
O D. x = +10.12
Answer:
x=±2√5
Step-by-step explanation:
x²=20
x²=4×5
x²=(2√5)²
therefore,x= ±2√5
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
distribute property
Step-by-step explanation:
5 is distributed into the parentheses.
5 × x = 5x
5 × (-7) = -35
5x - 35 = 55
Hope that helps.
The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.
What is a Product?Product is the output of the mathematical operation Multiplication.
The Step 1: 5 (x minus 7) = 55.
Step 2: 5 x minus 35 = 55
In step 2 Distributive property is used to solve the expression.
According to Distributive property
The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.
a ( b+c) = a*b + a*c
5 (x -7) = 55.
5x - 35 = 55
Therefore, the distributive property is used.
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pleaseeeee helppp meee!!!
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
Help Please question in the picture
Answer:
Option (1)
Step-by-step explanation:
Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.
Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.
Therefore, the given trapezium can't be an isosceles trapezium.
Option (1) will be the correct option.
Find the perimeter of the composite figure
Answer: 172.3ft
Step-by-step explanation:
100 points
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.
Answer:
Solution set include (1,5), (1,4)
Step-by-step explanation:
To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.
The Solution set would be anything in the overlapping area between both line's shades.
help
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Answer:
5=26
14=17
n=1
31n=31*1=31
rationalising factor of 5 +root 7
Answer:
Therefore, lowest rationalizing factor is ( 7 + √7 ).
Step-by-step explanation:
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100%sure
Answer:
5 - [tex]\sqrt{7}[/tex]
Step-by-step explanation:
To rationalise the factor multiply by the conjugate factor
The conjugate of 5 + [tex]\sqrt{7}[/tex] is 5 - [tex]\sqrt{7}[/tex] , then
(5 + [tex]\sqrt{7}[/tex] )(5 - [tex]\sqrt{7}[/tex] ) ← expand using FOIL
= 5² - ([tex]\sqrt{7}[/tex] )²
= 25 - 7
= 18
Find the roots of the quadratic equation (4p-1)² = 4p²
( Please show me how it works , Thankiuuu ༎ຶ‿༎ຶ )
Answer:
p = 1/2
Step-by-step explanation:
(4p - 1)^2 = 4p^2
(4p - 1)^2 =(2p)^2
4p - 1 =[tex]\sqrt{(2p)^2}[/tex]
4p - 1 =2p
4p - 2p =1
2p = 1
p =1/2
the slope of the line
Answer: -2
Explanation: On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]
Simplified that is -2 which is the slope of the line
m
Give one reason why banks charge people banking fees.
Answer:
banks change people fees to make a profit off of them other wise they would be giving away free money.
Step-by-step explanation:
hope this helps and what you were asking for.
help ASAP ! it’s due soon
option
(c) is correct
Step-by-step explanation:
jsjsjd
Can someone help me? It's urgent and thank you!
Answer:
option A
Step-by-step explanation:
[tex]\frac{x+ 3}{12x} \ \cdot \ \frac{4x}{x^2 +x - 6}\\\\= \frac{x+ 3}{12x} \ \cdot\ \frac{4x}{x^2 +3x - 2x - 6}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{x(x + 3) -2(x+3)}\\\\= \frac{x+ 3}{12x} \cdot \frac{4x}{(x + 3)(x -2)}\\\\= \frac{1}{12x} \ \cdot \ \frac{4x}{(x - 2)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\= \frac{1}{3} \ \cdot \ \frac{1}{(x - 2)}\\\\= \frac{1}{3(x - 2) }[/tex]
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
A. [tex]2x^2y\sqrt[3]{7xy^2}[/tex]
Step-by-step explanation:
When given the following problem,
[tex]\sqrt[3]{56x^7y^5}[/tex]
The problem asks one to find the cube root of the value under the radical. The cube root of a number is essentially a value that must be multiplied by itself three times to get the result under the radical. An easy way to do this is to prime factorize the value under the radical sign. This will allow one to see the components of the number, thus making it easier to take value out of the radical;
[tex]=\sqrt[3]{7*2^3x^7y^5}[/tex]
Now divide each of the exponents by (3), write the whole result outside the radical, and the remainder under the radical,
[tex]=2x^2y\sqrt[3]{7xy^2}[/tex]
If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =
Answer:
7x² - 8x + 4
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?
Answer:
1/12
Step-by-step explanation:
multiple of 3 and a multiple of 4 implies it can only be 12.
Since you only have the numbers from 1 to 12,
the prob(the 12) = 1/12
The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.
Answer:
1. 2 real solutions
2. no real solutions
3. 2 real solutions
4. 1 real solution
Step-by-step explanation:
The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.
At what rate, in minutes per lap, does this swimmer swim?
Answer:
1.6
Step-by-step explanation:
all u gotta do is divide 6.4 by 4:)
hope that helps!<3
Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.
Answer:
pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle
The picture is above I’ll mark as brainliest.
Answer:
?=5
Step-by-step explanation:
So let's do 16-6 (3*2)
10/2=5
Answer: ?=5
Step-by-step explanation:
In a rectangle the opposite sides are congruent (same length).
So we have ?+?+3+3=16
Let's use a variable for ?
x+x+3+3=16
Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.
2x+6=16
Let's subtract 6 from both sides.
[tex]2x+6-6=16-6\\2x=10[/tex]
Now let's divide both sides by 2 to find the value of x (which is ?)
[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]
The value of x/? is 5.
which of the following are equation for the line shown below.(-2,4) and 1,-5)
para realizar una minga en una escuela sehan reunido 750 personas .en la organizacion de las actividades se solicito a 1/15 de total para limpiar los patios y jardines a 2/25 del total arreglar bancas y al rwsto de las peronas se les pidio limpiar las pertas y ventanas de toda la institucion
¿cuantas personas limpiam los patios y jardines ?
¿cuantas personas pintan las paredes ?
¿cuantas personas arreglan las bancas ?
¿cuantas personas limpiam las puertas y ventanas ?
pliss ayuda espara manaña hasta las 5 am :")
What number is equal to 58 × 5-6? 5 -2 5 2 5 48 5 -14
Step-by-step explanation:
please, write the problem statement properly. it is not clear what you are asking for.
for example, the way how you wrote it, the first expression would be
58 × 5 - 6
and that would be (remember, multiplication and division happen before any additions or subtractions)
58 × 5 - 6 = 290 - 6 = 284
nothing on the right side of numbers fits to that.
so, I am speculating. did you mean
58 × (5-6) ?
in that case we get
58 × (5-6) = 58 × (-1) = -58
and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.
and then I just propose that the right side could look like
-2×5 - 48 (which would also be -58).
but again, this could be something completely different.
so, please, write your problem statement again. and carefully.
HELP ASAP
Jim went to the bank and made of a deposit of $525 into his checking account. He had both cash and a check. The check he deposited was written for $250. How much cash did he deposit? Construct an equation to represent the situation. Make sure to identify and label your variable. Solve for the variable and describe your answer. Show your work and prove your solution to be correct.
wats the answer of 3/4 of 7/15
Answer:
3/4 × 7/15 =7/20
just multiplication
A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in cubic m?
The volume of a given rectangular prism is 100 cubic meter.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
We know that, a rectangular prism has a length of 10 m, a height of 2 m, and a width of 5 m.
Here, volume = 10×5×2
= 100 cubic meter
Therefore, the volume of a given rectangular prism is 100 cubic meter.
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The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longer than the shortest side. The perimeter of the triangle is 33 inches.
Complete question is;
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.
Answer:
Shortest side = 7 inches
Side 2 = 13 inches
Side 3 = 13 inches
Step-by-step explanation:
We are told that;
Triangle is isosceles
The shortest side is 2x - 3 inches
The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;
Side 2 = side 3 = 2x - 3 + 6 = 2x + 3
Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;
(2x - 3) + 2x + 3 + 2x + 3 = 33
6x + 3 = 33
6x = 33 - 3
6x = 30
x = 30/6
x = 5
Thus;
Shortest side = 2(5) - 3 = 7
Other 2 sides are each; 2(5) + 3 = 13
Which type of survey does this example represent?
Mariah wants to know how many hours of sleep the population of her K-8 school gets on an average night. She sends an email to every single student email account asking them to fill out a quick survey. After 5 days, she collects the data and calculates the mean.
A. Random Sample
B. Cluster Sample
C. Convenience Sample
D. Voluntary Response Sample
Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?
Based on the results of the simulation, the probability that Michaela will walk animals on:
a. both days = 1/6
b. one day only = 2/3
c. at least one day = 5/6
What is probability?Probability is simply how likely something is to happen.
Grooming = 0, 1, 2
Walking = 3, 4, 5, 6, 7
Cleaning = 8, 9
Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.
(2,9) - zero days
(5,2) - one day
(3,9) - one day
(0,1) - zero days
(8,3) -one day
(0,5) - one day
(8,3) - one day
(6,8) - one day
(4,7) - two days
(7,4) - two days
(1,5) - one day
Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]
Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]
Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
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Express 1800 ml as percentage of 2.1 L
Answer:
1400 ml is 66.67% of 2.1 L
To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.
