Answer:
Rational numbers can be depicted on the number line. The centre of the number line is called Origin (O). Positive rational numbers are illustrated on the right side of zero (called origin), and negative on left side of origin. The representation of rational numbers on the number line depends on the type of fraction.
Step-by-step explanation:
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.
List the congruent sides.
Answer:
PQ≅ST; QR ≅TW; PR ≅SW
Step-by-step explanation:
Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no
Answer:
NO
Step-by-step explanation:
does anyone know what the answers are to this question? thank you sm if you help!! :)
Please help ill mark brainlyst please
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4
Answer:
B) x = 2
Step-by-step explanation:
1 + 1 = x
2 = x
1 + 1 = 2
This is a multi-part question you will refer back to this and other finished parts to help answer this and future questions
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a
Johnny was asked how long it will take the population to reach
complete sentence) Please help.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
The given parameters are:
[tex]\mathbf{a =10000}[/tex] --- the initial population
[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate
Population are always modelled using exponential function.
This is represented as:
[tex]\mathbf{y = a(1 - r)^x}[/tex]
Where y represents the population in x years.
So, we have:
[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]
[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]
[tex]\mathbf{y = 10000(0.997)^x}[/tex]
When the population reaches half, then y = 5000.
So, we have:
[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = 0.997^x}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]
Apply law of logarithm
[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]
Make x the subject
[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]
[tex]\mathbf{x = 230.7}[/tex]
This means that the population will become half the original population in 230.7 years.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
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15 POINTS! NEED ANSWER RIGHT AWAY!!!
Select from the drop-down menus to correctly complete the statements about the expression 5k + m/3.
The expression 5k + m/3 is a Choose… [sum or difference]. The term 5k is an addend, but it is also a Choose…[product or difference]. The term m/3
is an addend, but it is also a Choose…[sum or quotient].
Answer:
911
Step-by-step explanation:
The expression 5k+m3 is a sum. The term 5k is an addend, but it is also a product. The term m3 is an addend, but it is also a quotient.
x÷12;x=2/3 Help ASAP please.
Answer:
I think this is it 2/36=1/18
Step-by-step explanation:
if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.
2/3x1/12= 2/36
simplified 1/18
Convert into an exponential expression
Answer:
Step-by-step explanation:
The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help
Step-by-step explanation:
x = one odd number
the second odd number is (x+2), as both are consecutive.
so,
x × (x + 2) = 195
x² + 2x = 195
x² + 2x - 195 = 0
the formula to solve this is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -195
x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =
= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =
= (-2 ± 28)/2 = -1 ± 14
x1 = -1 + 14 = 13
x2 = -1 - 14 = -15 which is invalid as the numbers are positive.
so, the two numbers are 13 and 15.
WILL MARK BRAINLIEST Evaluate (8xy³- 2x²- 3x + 1) ÷ (x - 1) WITH SOLUTION
Answer:
Given:f(x)=2x^2-3x-1
Then,f(-1)=2(-1)^2-3(-1)-1
f(-1)=2(1)+3-1
f(-1)=5-1
f(-1)=4
Step-by-step explanation:
Does the following relationship represent a function?
y = 5x
Answer:
yes because it does not have a exponent
Step-by-step explanation:
Boris buys a car for $23,000. The value of this car reduces by 8% each year. Find the number of complete years it takes for the value of the car to fall below $11,500.
Answer:
2 years
Step-by-step explanation:
casue if you multilpy 2 x 11,500 you get 23,000
5-3x=Px+7
what value must P have for the equation to have no solutions?
Answer:
P = - 3
Step-by-step explanation:
For the equation to have no solutions the the coefficient of x on both sides must be the same.
5 - 3x = Px + 7 ← P = - 3 , then
5 - 3x = - 3x + 7 ( subtract 5 from both sides )
- 3x = - 3x + 2 ( add 3x to both sides )
0 = 2 ← not possible
Meaning the equation has no solutions
A packet of Hobnobs claims to be 24% bigger!!
It now contains 31 biscuits. How many did it have before?
Answer:
25
Step-by-step explanation:
124% = 31
1% = 0.25
100% = 25 biscuits
...YUMMY!
Answer:
24
Step-by-step explanation:
( 1 - 7n) times 5
What are the steps to solving it?
Answer:
5 - 35n.
Step-by-step explanation:
5(1 - 7n)
Using the Distributive Law:
= 5*1 + 5 *-7n
= 5 - 35n.
What is the value of the first term in an=n+6?
Choose all of the proportional relationships that have a greater unit rate than the unit rate of this graph.
10
9
8
7
6
5
4
3
2
1
5
7
B
00
9 TD
X
y
2
5
10
15
low
y
3
6
9
6
12
18
6
y = 2x
y = 0.25%
y
2
4
y
3
6
9
8
16
24
8
12
The proportional relationships that have a unit rate that is greater than that of the one of the graph are: the first and third tables, and y = 2x.
How to Determine the Unit Rate of a Proportional Relationship?The unit rate can be calculated as, m = y/x. In an equation that represents a proportional relationship, y = mx, the value of m is the unit rate.
Using a point on the graph, (5, 2):
Unit rate of the graph = y/x = 2/5
Unit rate = 0.4.
Unit rate for the first table = 3/5 = 0.6 [greater than 0.4]
Unit rate for the second table = 2/6 = 0.3 [less than 0.4]
Unit rate for y = 2x, is 2 [greater than 0.4].
Unit rate for y = 0.25x, is 0.25 [less than 0.4].
Unit rate for the third table = 2/4 = 0.5 [greater than 0.4]
Unit rate for the second table = 3/8 = 0.375 [less than 0.4]
Those that have a unit rate that is greater than the one of the graph are: the first and third tables, and y = 2x.
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1.If the triangle with vertices A(3,-9) B(-1, 7) C(5, 0) is reflected over the y-axis, what are the coordinates of
the new triangle A'B'C'?
Answer:
25 times 58
Step-by-step explanation:
guessed
covert 104% into a decimal
Answer:
104 divided by a 100
1.04
Step-by-step explanation:
it is the same as moving the decimal two places to the left
HELP ASAP You are preparing to move into a new house. The walls of your room will measure 10 feet by 12 feet.
When you look at the blueprint, the lengths of the walls on the drawing are 7.5 inches by 9 inches. What
is the scale used on the blueprint?
The Scale used on blueprint is 1 inches represents 4/3 feet
Scaling is the increase or decrease in size of a figure or object so as to create an image of that object.
Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:
Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet
1 inches = 4/3 feet
The Scale used on blueprint is 1 inches represents 4/3 feet
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WILL GIVE 25 PONITS! ANSWER CORRECTLY! (in attachments)
Answer:
you got to do it
Step-by-step explanation:
Find x.
8x-4=4x+12
Thank you!!
Answer:
4
Step-by-step explanation:
8x - 4 = 4x + 12
Add 4 to both sides:
8x = 4x + 16
Subtract 4x from both sides:
4x = 16
Divide by 4 from both sides"
x = 4
What is the slope of the line ( part 2 )
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
Same as last time, take any 2 points you want:
(0, 3) and (4, 1)
Use the slope formula to calculate the slope:
[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]
On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.
Which statement best explains why the sum of the areas of the two white squares in Figure two is the same as the area of the white square in figure one
Answer:
Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.
Step-by-step explanation:
Statement 1:
In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.
Explanation:
Total area of each square = ab*ab
Fig 1 has 4 triangle each with area = ab/2
Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab
Fig 2 has 2 non-white rectangles each with area = a*b
Total area of non-white rectangles in fig 2 = 2*ab
As non-white area of fig 1 = non-white area of fig 2
The remaining white area must also be equal.
Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.
Answer:
2+2 =22. ♀️ ................
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4
Step-by-step explanation:
when you do an arithmetic operation to functions, you do it for the defining expressions.
so,
(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7
(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12
= 4(x² + 4x + 3)
(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55
A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)
Answer:
A y - 1 = -4(x + 2)
Step-by-step explanation:
point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]
y - 1 = -4(x -(-2) )
y - 1 = -4(x + 2)
how to find the slope of 1,4 and 0,11
Answer:
y2-y1 over x2-x1, typically the second or set of the higher numbers would be #2 so im taking 0,11 as #2
Step-by-step explanation:
7 i believe
Answer:
y2-y1/x2-x1
11-4/1-0
7/1
slope = 7