Answer:
3
Step-by-step explanation:
3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?
equation is
[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]
Make x the subject of the formula: y=x^{2} + 5
First, multiply both sides by (x - 5), so you end up with:
(x-5)y = x + 2
Which can be expanded to give you:
xy - 5y = x + 2
Now add 5y to both sides to obtain:
xy = x + 2 + 5y
Now subtract x from both sides:
xy - x = 2 + 5y
Factorise x out:
x(y - 1) = 2 + 5y
Divide both sides by (y - 1):
x = 2 + 5y/y - 1There you go, x is now the subject.
Classify the following triangle
(Chose multiple)
-Equilateral
-Isosceles
-Scalene
-Acute
-Equiangular
-Obtuse
-Right
Answer:
Scalene
Acute
Obtuse
Step-by-step explanation:
≠ Equailateral because all the sides in the given triangle are not equal nor are the three angles 60°
≠ Isosceles because the triangle doesn't have two equal sides nor two equal angles
= Scalene as all the sides are of different lengths and so are all the angles with different degrees.
= Actue because QPO and PQO are less than 90°, thus they are acute angles
≠ Equiangular because none of the given angles are of the same degree.
= Obtuse as POQ is greater than 90°
≠ Right because the given triangle does not have a right angle
Write the converse of the following statement. Then determine its validity.
a. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.
b. If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.
c. If a parallelogram is a rectangle, then the diagonals are congruent. FALSE.
d. If the diagonals of a parallelogram are not congruent, then the parallelogram is not a rectangle. FALSE.
d. If a parallelogram is not a rectangle, then the diagonals are not congruent. TRUE.
The converse and the validity of the statement is:
If a parallelogram is a rectangle, then the diagonals are congruent. TRUE.The statement is given as:
If the diagonals of a parallelogram are congruent, then is the parallelogram is a rectangle
Considering the following statement
If a then b
Its converse is:
If b then a
So, the converse of the given statement is:
If a parallelogram is a rectangle, then the diagonals are congruent.
The diagonals of a rectangle are true.
Hence, the validity is true.
So, the true statement is (b)
Read more about converse statements at:
https://brainly.com/question/4421013
Find the area of each figure
Answer:
flu
Step-by-step explanation:
ugh
What is an equation of the line that passes through the points (4, -1) and (-8, -7)?
Answer:
y=-1/2x - 3
I think this is it, its been a while though.
What is the factored form of n3+512 (pleas help fast)
A- (n-8)(n^2+8n+64)
B- (n+4)(n^2-4n+128)
C- (n-4)(n^2+4n+128)
D- (n+8)(n^2-8n+64)
Answer:
Since both terms are perfect cubes, factor using the sum of cubes formula,
a³+b³=(a+b)(a²-ab+b²) where
a=n and b=8
(n+8)(n²-8n+64)
Answer
(n+8)(n²-8n+64)
hi
have a good day
thank me later
Carryonlearing
Answer:
Step-by-step explanation:
The only one that has a chance of being correct is D. That's because the first term is correct and you have to assume that the second one is as well.
cubrt(512) = 8
The first term is (n + 8)
The second term is (n^2 - 8*n + 8^2) = n^2 - 8n + 64
All the other answers have the wrong first term
A: it should be n + 8 not n - 8
B and C are both wrong because the cube root of 512 is 8 not 4.
help please anybody hmm
Answer:
94.6-18.8=75.8
75.8 is the answer
Step-by-step explanation:
Hope this helps
May i get braineist pls?
I need help with these three questions I have the question and math problems all in the screenshots please help :)
Answer:
Screenshot 1 = Option B (5x-1)²
Screenshot 2 = (x+9)(x+9)
Screenshot 3 = Option 3 100x²-20x+1
Step-by-step explanation:
Screenshot 1 -
(5x-1)² = (5x-1)(5x-1)
5x · 5x = 25x²
5x · -1 = -5x
5x · -1 = -5x
(-1) · (-1) = 1
25x²- 5x- 5x + 1 = 25x² - 10x + 1
Screenshot 2 -
(x+9)(x+9)
x · x = x²
x · 9 = 9x
x · 9 = 9x
9 · 9 = 81
x² + 9x + 9x + 81 = x² + 18x + 81
Screenshot 3 -
100x²-20x+1
(10x-1)(10x-1)
10x · 10x = 100x²
10x · (-1) = -10x
10x · (-1) = -10x
(-1) · (-1) = 1
100x² - 10x - 10x + 1 = 100x² - 20x +1
An 18-foot ladder is leaning against a wall. The bottom of the ladder is 4.5 feet from the base of the wall.
How high up the wall does the ladder reach? Round your answer to the nearest tenth, if necessary.
A
13.5 feet
B
18.6 feet
o
С
22.5 feet
D
17.4 feet
Answer:
d
Step-by-step explanation:
use Pythagoras theorem
that is a²+b²=c²
so 4.5²+b²= 18²
rearrange to b²=18²-4.5²
so you get b=
[tex] \sqrt{303.75} [/tex]
that is equal to 17.42842506
Find the slope of the line (-3,-2),(1,-2)
Answer:
0
Step-by-step explanation:
The y-axis is the same so the slope has to be zero, since the line is not going vetrically anytime on the graph
what cubed is equal to 1000?
Answer:
10
Step-by-step explanation:
Oceanside Bike Rental Shop charges a 13 dollars fixed fee plus 7 dollars an hour for
renting a bike. Keith paid 69 dollars to rent a bike. How many hours did he pay to have
the bike checked out? Let h = number of hours bike was checked out
Answer:
8 hours
Step-by-step explanation:
69-13=56
56/7=8
13+7h=69
7/8 in lowest terms ?
Answer:
7/8 simplified to lowest terms is 7/8.
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 8 is 1
Divide both the numerator and denominator by the GCD
7 ÷ 1
8 ÷ 1
Reduced fraction:
7
8
Therefore, 7/8 simplified to lowest terms is 7/8.
what is the range of a parabola that opens down with a vertex at (1,-3)
Answer:
-3 to -infinity
Step-by-step explanation:
y^2 - 19 = 0 find the sum and product
Answer: Sum of the roots: √19 - √19 = 0
Product of roots: (√19)(-√19) = -19
Step-by-step explanation:
y2 - 19 = 0
add 19 to both sides
y2 = 19
take square root of both sides
y = ±√19
So y = √19 or y = -√19
Help ME!
Question 1: Evaluate the expression:
2+5⋅8
Question 8: 10÷(3−1⋅2)
Option answers for Question 8: 4, 10, 10/4, and 2.5
Answer:
Q1: 42
Q8: 10
Step-by-step explanation:
PEMDAS
All the numbers round to 7 except
6.61
7.89
6.58
7.37
Find the volume of the figure below.
Answer:
0.6
Step-by-step explanation:
10ft of object and 6ft of ground side
3q+3.97=7.57 please help im stuck on ixl
Answer:
1.2
Step-by-step explanation:
3q+3.97=7.57
3q=7.57-3.97
3q=3.6
q=3.6/3
q=1.2
Hii I would love if anyone would be able to give me the answer to this <3
Answer:
×=40
Step-by-step explanation:
The total value of all the angles on any line is 180
so x+(4x-20)=180
40+(4×40-20)=180
Answer:
40°
Step-by-step explanation:
The sum of angles x and (4x - 20) is 180°
x + (4x - 20) = 180
5x = 200
x = 40°
d= sqrt ( 2 )^ 2 +( 12 )^ 2
Answer:
d = 146
Step-by-step explanation:
Answer:
d=146
Step-by-step explanation:
the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146
Aneesha determined that the cost of attending her public four-year college in her first year will be $6,220. If the average cost is expected to increase by 6%, what will be the cost of attending her second year in college?
A) $6,226.00
B) $6,257.32
C) $6,593.20
D) $6,820.00
Answer:
6593.2
Step-by-step explanation:
6,220*1.06 = 6593.2
Explanation of approximation, decimal place, significant figure
Answer:
im not an expert in math but i'll do my best:
1. an approximation is something that is almost, but not exactly something. for example, 5.02 is approximately 5. it's not EXACTLY 5, but it's around 5.
2. decimal place refers to the position of numbers after the decimal point. let's take the decimal number 7.89 for example. there are 2 numbers after the decimal point, which is 8 and 9. hence we say that 7.89 has 2 decimal places.
3. significant figure is kind of hard to explain, so i'll jump into the example straight away.
5.874 to 3 significant figures is 5.87. what i did was count 3 digits: starting from 5 to 7. to round to 3 significant figures, i look at the 4th digit, which is 4 in this case. if it's smaller than 5, i ignore everything past the digit 7, and leave the final answer as 5.87.
if the 4th digit is greater than or equal to 5, i add 1 to the 3rd digit THEN leave out all the numbers after the 3rd digit. (if this were the case, the answer would be 5.88)
lets take a trickier example, 0.064591
in this case i cannot start counting 3 digits starting from 0. i have to count starting from the number 6. the concept in this case is that the 1st significant figure cannot be a 0. in this case the answer to 3 significant figures would be 0.0646.
however, 0 can be a significant figure if it's after another number. for instance 0.90672
the 0 after the 9 would count as a significant figure because it's not the 1st significant figure in the number. however the 0 before the 9 would NOT count as one because 0 cannot be the 1st significant figure. the answer to 3 significant figures would be 0.907.
sorry this was so lengthy, i just hope this answers your question on what these are and how they work. good luck!
“write each number as a percent”
6 and 1/2 ( mix number)
Help please
Answer:
650%
Step-by-step explanation:
Since percent means "out of one hundred", we can use that to find out the answer6 would be 600 percent, and 0.5 would be 50 percentTherefore, the answer would be 650%Can someone help me with this please?
Scientists say we should sleep 3/8 of a day.How about many hours is this
30x - 12y
i need help
Step-by-step explanation:
if you factor it will be 6(5x-2y)
if you graph the slope will be 5/2
y=x−4
y=4x+2
Find x and y
Answer:
x = -2
y = -6
Step-by-step explanation:
x - 4 = 4x + 2
-4 = 3x + 2
-6 = 3x
x = -2
y = -2 - 4; y = -6
3. The sum of the second term and the ninth term of an arithmetic sequence is -5. The sum of the third and fourth terms of the same sequence is 7. Find the first term of the sequence.
Answer:
First term of the sequence is [tex]11[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference
We have
The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]
[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]
The sum of the third and fourth terms of the same sequence is [tex]7[/tex]
[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]
eqn 1 - eq2
[tex]4d=-12\\\\d=-3[/tex]
Substituting in eqn 1
[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]
First term of the sequence is [tex]11[/tex]
identify all possible answer for the statement below.
Answer:
it simple there nothing there Step-by-step explanation: