Write the number in expanded form for the significant digits
117.000
20.018
13.265
3.4000
0.8100
What is the length of AC
Answer:
6.4
Step-by-step explanation:
Use the triangle angle bisector theorem.
4.9/2.6 = AC/3.4
2.6AC = 4.9 × 3.4
AC = 6.40769...
Answer: 6.4
8TH GRADE MATH 100 POINTS+BRAINLIEST - Factor Quadratic equations- please write out the steps, explain simply, and possibly provide a couple rules to remember for questions like these in the future. Any offensive answers or ones for the sake of points will be reported THANKS SO MUCH!!!
Also, 5 more 8th grade math questions are coming–GIVING AWAY 600 POINTS
Hello,
We have : (a + b)² = a² + 2ab + b²
4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B
Here, we have a = 2x and b = 5 !
Answer:
[tex]\textsf{b.} \quad (2x+5)^2[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]4x^2+20x+25[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
[tex]\implies ac=4 \times 25=100[/tex]
[tex]\implies b=20[/tex]
Factors of 100 that sum to 20: 10 and 10
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 4x^2+10x+10x+25[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies 2x(2x+5)+5(2x+5)[/tex]
Factor out the common term (2x + 5):
[tex]\implies (2x+5)(2x+5)[/tex]
Simplify:
[tex]\implies (2x+5)^2[/tex]
Learn more about quadratic equations here:
https://brainly.com/question/27997764
The table shows the height in inches of 10 players on a college basketball team.
Answer:
A) The median is one of the values listed in the table
Step-by-step explanation:
The median is the middle number in an ordered data set. Since the number of date in the table is a even number, both 75 and 76 is the middle number. To find the median of an set of data that has an even number of sets, you just add the 2 middle numbers together and divide by 2. So like:
75+76=151
151/2=75.5
75.5 is the median but its not listed in the table, so A.
The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number.
If the tens digit is x, then the equation is:
The number is:
Answer: 32
Step-by-step explanation:
The only numbers that can have 2 digits and two of which equal to five can only be:
3+2
2+3
4+1
1+4
So the numbers are: 41,14,23, and 32.
41-9=32
14-9=5
23-9=14
32-9=23
Since the question is asking for the number who’s difference is the reverse of one of the numbers. The only possible answer is 32 because 32-9= 23. (23 is the reverse of 32)
Just not sure with my answer.
A laundry had 32 shirts to wash. 14 were put in the washing machine. The rest were shared equally among 6 girls to wash. How many shirts did each girl wash?
Each girl washes 3 shirts. The 18 shirts are divided equally among the 6 girls
After putting 14 shirts in the washing machine, there are 32 - 14 = 18 shirts left to wash. These 18 shirts are shared equally among 6 girls. To find out how many shirts each girl washes, we divide the total number of shirts (18) by the number of girls (6):
Number of shirts washed by each girl = Total shirts / Number of girls
Number of shirts washed by each girl = 18 / 6
Number of shirts washed by each girl = 3
Each girl washes 3 shirts. The 18 shirts are divided equally among the 6 girls, so each girl washes the same number of shirts.
Learn more about division here
http://brainly.com/question/231633
#SPJ2
Let point P be (3, 5) and Q be (8, -3). Let T be the point on segment PQ such that PT:TQ = 1:2. Find
the coordinates of point T, and explain why this point T must be the point on segment PQ such
that PT:TQ = 1:2
Answer:
(14/3, 7/3)
Step-by-step explanation:
8-3=5, and 5/3+3=14/3.
5--3=8, and 8/3+5=7/3.
This has a ratio of 1:2 because the length is divided into three and 1 is separate from the other two.
you are going to paint the sixth sector spinner shown.There are 4 colors to choose from. How many different ways can u paint this spinner if each color can be used more than once and there are no other restrictions
Answer:
There are 4096 options to choose from.
Step-by-step explanation:
6 sections each with 4 colours to choose from : 4⁶ = 4096
The spinner with 6 different parts and 4 different colors can be painted in 4⁶ ways.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, you are going to paint the sixth sector spinner shown and there are 4 colors to choose from also each color can be used more than once and there are no other restrictions.
∴ The first part can e painted in 4 different ways and as there are no restrictions every 6 parts can be painted in 4 different ways.
So, the total no. of ways to color this spinner with 6 different parts and 4 different colors are,
4×4×4×4×4×4 ways,
= 4⁶ ways.
learn more about permutation and combination here :
https://brainly.com/question/2295036
#SPJ2
Please use statemnet reasoning!
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO congruent angle EWN Vertical Angles
angle OHW congruent angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]
Jack tried to define a rotation.For the center point CCC, the image C'C ′ C, prime is at the same point as CCC. For a point PPP that is not at CCC, a rotation of \thetaθtheta about point CCC creates point P'P ′ P, prime, such that CP=CP'CP=CP C, P, equals, C, P, prime and m\angle PCP'=\thetam∠PCP ′=θm, angle, P, C, P, prime, equals, theta. What mistake did Jack make in his definition of a rotation?
A
Jack needed to include the direction of the rotation.
(Choice B)
B
m\angle CPP'm∠CPP
′
m, angle, C, P, P, prime must equal \thetaθtheta.
(Choice C)
C
Point CCC must be the midpoint of PP'PP
′
P, P, prime.
(Choice D)
D
Jack did not make a mistake.
Raj started with angle B and constructed angle D.
The congruent triangles are solved and the measure of HI ≅ FG and the measure of DH ≅ BF
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle being constructed be ΔCBA
Let the second triangle being constructed be ΔDEL
Now , the measures of the corresponding sides of the congruent triangles will be in the same ratio
So , measure of HI ≅ measure of FG
And , the measure of DH ≅ the measure of BF
Hence , the ∠D is congruent to ∠B
To learn more about congruent triangles click :
https://brainly.com/question/26131452
#SPJ2
Which expression is equivalent to 56x-28y + 42?
a.) 8(7x - 3y + 6). b.) 7(8x + 4y +6z)
c.) 7(8x - 4y + 6)
Answer:
Letter c
Step-by-step explanation:
You are distributing the 7 to each term in the parentheses.
7(8x) is 56 x
Here is the tricky part. You can think of it a couple of ways:
7(-4y) = -28y a positive times a negative is a negative.
or 7(4y) = 28 , but then remember that you are subtracting so it will become -28
7(6) = 56
56x - 28y +42
Answer:
c.) 7(8x - 4y + 6)
Step-by-step explanation:
if we solve 7(8x-4y+6), we get;
56x-28y+42
A class of students recorded the amount of time spent on homework on Monday night. The times are recorded below, in ours. Use the data to answer question 8-10
1 3/4 2 1/4 2 2 3/4
1 1 3/4 1 1/4 3
3 1/4 3 3/4 2 2
8. Make a line plot of the data shown above. Be sure to include a title and correctly label each value
9. Julie says the most amount of time spent on homework is 1 1/2 times the lest amount of time spent on homework. Is she correct? Explain.
10. Daniel says that more than half the students spent 2 1/2 hours or more on homework. Liz says more that half the students spent less than 2 1/2 hours on homework. Who is correct? Explain.
I need help ASAP
These days people use plastic to pay for everything. " What does this synecdoche mean in this question?
Answer:
ospe4mhe is taht he iaoe
Answer:
Synecdoche means in which a part of something is substituted for the whole (as hired hand for "worker")
Solve the equation
3x-5< 8x-1/2
x+7≤ 4x+1
Please help ASAP: Mr.Rodriguez bought a jacket at $69.50, a tie at $15.50 and a raincoat at $75.35. If he received a discount of 12 1/2% on each of these items then what was his bill?
Mr. Rodriguez's bill after receiving a discount of 12 1/2% on each item is $140.30.
To calculate Mr. Rodriguez's bill after receiving a discount of 12 1/2% on each item, we need to find the discounted price for each item and then add them together to get the total bill.
First, let's calculate the discount for each item:
Jacket: 12.5% of $69.50
Discount on jacket = 12.5/100 * $69.50 = $8.69
Tie: 12.5% of $15.50
Discount on tie = 12.5/100 * $15.50 = $1.94
Raincoat: 12.5% of $75.35
Discount on raincoat = 12.5/100 * $75.35 = $9.42
Now, subtract the discounts from the original prices to get the discounted prices for each item:
Jacket price after discount = $69.50 - $8.69 = $60.81
Tie price after discount = $15.50 - $1.94 = $13.56
Raincoat price after discount = $75.35 - $9.42 = $65.93
Finally, add the discounted prices of all items to find the total bill:
Total bill = $60.81 + $13.56 + $65.93 = $140.30
To learn more about discount click on,
https://brainly.com/question/28184203
#SPJ2
Can any one give me the answer????? Please
The domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values
How to determine the domain?The sum notation is given as:
[tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex]
From the above notation, the smallest value of n is 1.
This means that the variable x can take any real value as it value
Hence, the domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values
Read more about domain at:
https://brainly.com/question/1770447
#SPJ1
I need help with this question
Answer: 62.8in
Step-by-step explanation:
The formula for circumference is C=2πr. Put the values of 10 in for r and 3.14 in for pi, and you get an equation that looks like C=2(3.14)(10). Solving this equation gets you 62.8.
Answer:
62.8
Step-by-step explanation:
Circumference=2rpi
c=2*10*pi
c=20*pi
c=20*3.14
c=62.8
The table and the graph each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,210 and 4,280 and 5,350 and 6,420. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 550 in increments of 110 for each grid line. A line passing through the ordered pairs 2, 110 and 4, 220 and 6, 330 and 8, 440 is drawn.
How much more would the value of y be in the table than its value on the graph when x = 11?
Answer:
275
Step-by-step explanation:
PLEASE ANSWER: A camera usually sells for $68. Because it was slightly damaged, it sold for $59.90, what was the rate of the discount to the NEAREST PERCENT?
Find the interest PLEASE: $194 at 7% each year for 13 years
Answer:
Step-by-step explanation:
the answer is
$194 (start) / 100 (100%) = $1.94 (1%)
$1.94 * 7 = $13.58 (7%)
$13.58 * 13 (13 years) = $176.54
$194 (start) + $176.54 (interest) = $370.54
the interest on $194 at 7% interest rate for 13 years is approximately $176.54.
To find the interest on $194 at an annual interest rate of 7% for 13 years, we can use the formula for simple interest:
Interest = Principal * Rate * Time
Where:
Principal = $194 (initial amount)
Rate = 7% (convert to decimal: 7% = 0.07)
Time = 13 years
Now, plug in the values:
Interest = $194 * 0.07 * 13
Calculate the interest:
Interest = $194 * 0.91
Interest ≈ $176.54
So, the interest on $194 at 7% interest rate for 13 years is approximately $176.54.
Learn more about interest here
https://brainly.com/question/29335425
#SPJ2
There are 5 blue socks in Josh’s drawer. After he removes 3 non-blue socks, the probability to pick a blue sock at random becomes . How 1/7 many non-blue socks were in Josh’s drawer originally?
Answer: There is 5 non blue sock in Josh's drawer
Step-by-step explanation:
The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.
Which measure is equivalent to 350 centimeters?
3.5 m
35 m
350 m
3500 m
Answer:
The answer to your question is 3.5 m
Step-by-step explanation:
1 m= 100 cms
so 350 cms = 3.5 m
I hope this helps and have a good day!
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 5: WRITE THE EQUATION OF A LINE- this one was strange because the slope is supposed to be a negative fraction but that never appeared in the answer choices so please explain why I got it wrong thanks!!
Answer:
[tex]\textsf{b.} \quad 3x+5y=2[/tex]
Step-by-step explanation:
Define the given points:
[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]
Use the slope formula to determine the slope of the line:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]
Use the point-slope formula to determine the equation of the line.
[tex]\implies y-y_1=m(x-x_1)[/tex]
Substitute the found slope and point (4, -2):
[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]
[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]
Multiply both sides by 5:
[tex]\implies 5(y+2)=-3(x-4)[/tex]
Expand the brackets:
[tex]\implies 5y+10=-3x+12[/tex]
Add 3x to both sides:
[tex]\implies 5y+10+3x=-3x+12+3x[/tex]
[tex]\implies 3x+5y+10=12[/tex]
Subtract 10 from both sides:
[tex]\implies 3x+5y+10-10=12-10[/tex]
[tex]\implies 3x+5y=2[/tex]
pls help me with my question I will mark brainliest 20 points
To start solving the exercise, we obtain as data:
π = 3r = 3 ftWe apply as a formula:
A = πr², whereA = areaπ = pir = radiusWe apply the formula and solve:
A = π r²A = 3× (3 ft)²A = 3 × 9 ft²A = 27 ft²Therefore, the area of the circle is 27 ft².
Answer: 27ft²
Step-by-step explanation: Soln:
Given that,
π=3
Radius(r)=3ft.
We have,
A = π r²
A = 3* (3)²
A=3*9
A=27ft²
100 POINTS+BRAINLIEST 8TH GRADE MATH PT 4: this one is similar to #3
Answer:
b. x + (x + 2) + (x + 4) = 39
Step-by-step explanation:
Definitions
Integer: a whole number that can be positive, negative or zero.The sum of three consecutive odd integers
Let x be the first odd integer.
As there is a difference of 2 between consecutive odd integers, the next odd integer after x will be (x + 2).
Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).
So "the sum of three consecutive odd integers is thirty-nine" is:
x + (x + 2) + (x + 4) = 39
To solve
⇒ x + (x + 2) + (x + 4) = 39
⇒ x + x + 2 + x + 4 = 39
⇒ 3x + 6 = 39
⇒ 3x = 33
⇒ x = 11
Therefore, the three consecutive odd numbers are 11, 13 and 15.
A locker is in the shape of right rectangular prism. Its dimensions are as shown.
What is the surface area of this locker?
PLEASE HELP ME ASAP!!!!!
Answer:
Step-by-step explanation
Lines LP and QM are parallel, meaning KLP and QMN are supplementary
So KLP +QMN=180
3x+72=180
3x=108
x=36
Please help me.
i need to finish
Plsplsplsplspls help me