kshsheveosbwjsvsusvsisvsidvsksns
Step-by-step explanation:
BRAINIST PLSS
According to the 2014 national population projections published by the U.S. Census Bureau, the U.S. population is projected to be 334.4 million in 2020 with an estimated growth rate of 0.79% per year. Assuming the growth rate remains constant, find the projected population in 2050.
Answer:
423,437,744
Step-by-step explanation:
Given that :
Projected population in 2020 = 334.4 million
Estimated growth rate (r) = 0.79%
Projected population in 2050 ;
Using the exponential growth function :
Estimated value = initial value(1 + growth rate)^time
Initial value = i
Time = 2020 - 2014 = 6 years
334.4 = i(1 + 0.0079)^6
334.4 = i(1.0079)^6
334.4 = i2.43087455521E−13
i = 3.189786E8
Initial population = 318. 978 million
Estimated Population in 2050:
2050 - 2014 = 36
Projected population = 3.189786E8(1.0079)^36
Projected population = 3.189786E8*1.3274801
= 423437743.82586
= 423437744 million
A watermelon seed is 0.4cm long. How far would a line of 126 stretch?
Answer:
0.504m
Step-by-step explanation:
First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.
0.4*126
= 50.4cm
Therefore, the line of watermelon seeds stretches 50.4cm.
Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.
50.4/100
= 0.504m
Therefore, the line of watermelon seeds stretches 0.504m.
I hope this helps!
choose all the polygons
Answer:
A, B, E, F
Step-by-step explanation:
A polygon is ANY shape formed with only straight lines.
Find the distance between each pair of points. Round your answer to the nearest tenth, if
necessary.
5) (1, 2), (-5,4)
Answer:
2(10^.5)
Step-by-step explanation:
d = ((x2 - x1)^2 + (y2 - y1)^2)^0.5
What is 10/8 written as a decimal?
Answer:
10/8= 1.25
Step-by-step explanation:
10 divided by 2=5 8 divided by 2= 4=5/4
5÷4=1.25
The fraction 10/8 as the decimal equivalent is A = 1.25
What are decimal numbers?The decimal numbers can only be expressed as fractions since they contain a fractional component. The accepted method for representing both integer and non-integer numbers is the decimal numeral system. There are 10 single-digit numbers in the decimal system:
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. After the number 9, comes 10, then comes 11, then 12, and so on. Each time the digit to the right exceeds 9, the number on the left is increased by 1.
Given data ,
Let the decimal number be represented as A
Now , the value of A is
Let the fraction be represented as n
The value of n = 10 / 8
On simplifying , we get
The value of n in the decimal equivalence is given by dividing the number 10 by 8
So , A = 10 ÷ 8
A = 1.25
Therefore , the value of A is 1.25
Hence , the decimal number is 1.25
To learn more about decimal numbers click :
https://brainly.com/question/18373225
#SPJ2
What is the common ratio between successive terms in the sequence?
2.-4.8.-16, 32, -64,...
0-2
-6
6
2
Answer: -2
Step-by-step explanation:
You multiply the number before in the sequence by -2 to get the number that follows.
2*-2 = -4
-4*-2 = 8
And so on...
What is the value of the expression 8³?
A. 24
B. 83
C. 512
D. 6,561
Answer:
its c and thats on purrrr
Step-by-step explanation:
What are 5 fractions equivalent to 7/8?
Answer:
14/16
24/32
48/64
96/128
192/256
Step-by-step explanation:
Take 7 multiply it by 2, then take 8 and multiply it by 2
When you get your answer (14/16) multiply that by two
Keep going until you have 5 numbers
Answer:
14/16
21/24
28/32
35/40
42/48
Step-by-step explanation:
1. 7/8
7x2=14
8x2=16
14/16
2. 7/8
7x3=21
8x3=24
21/24
3. 7/8
7x4=28
8x4=32
28/32
4. 7/8
7x5=35
8x5=40
35/40
5. 7/8
7x6=42
8x6=48
42/48
1. 1.5 ÷ 1.2
2. 3.42 ÷ 0.6
3. 11.77 ÷ 1.1
4. 18.16 ÷ 0.4
5. 140.21 ÷ 1.4
Answer:
1. 25
2. 5.7
3. 10.7
4. 204
5. 100.5
Step-by-step explanation:
calculator
Write a cubic function whose graph is shown
Answer:
what grade
Step-by-step explanation:
8(7q+6p+11) please help me
Answer:
56p + 48q + 88
Step-by-step explanation:
When you see parentheses in math, it usually means that you are distributing (multiplying).
So here you would multiply everything inside the parentheses by 8.
7q x 8 = 56q
6p x 8 = 48p
8 x 11 = 88
56q + 48p + 88
There are no like terms here so the answer cannot be simplified any further.
Which is true about the product of 3/8 and 7/2?
Answer:
Nothing ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎ฏ๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎๎
Step-by-step explanation:
Answer:
Do you have the options? Or..
What is the value of 9x - 4y if x = 3 and y = 2?
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
27-8
I need answer as quick
Answer:
C
Step-by-step explanation:
(x+7)(x+1)(x+4)=
x^3+12x^2+39x+28 or C
Answer:
C
Step-by-step explanation:
Given
(x + 7)(x + 1)(x + 4) ← expand the second/ third factors using FOIL
= (x + 7)(x² + 5x + 4)
= x(x² + 5x + 4) + 7(x² + 5x + 4) ← distribute both parenthesis
= x³ + 5x² + 4x + 7x² + 35x + 28 ← collect like terms
= x³ + 12x² + 39x + 28 → C
(2x−6)+4(x−3)
Find the sum.
Answer:
6x - 18 or 6*(x - 3)
Step-by-step explanation:
Pull out like factors: 6x - 18 = 6 • (x - 3)
Hope this helps! Please mark as brainlest.
Thanks!
Part B
Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?
Slope of linen is
Answer:
Step-by-step explanation:
the slope of line n is also -3 as it is parallel to m
The answer is A
the inequality 7-2/3 x
− 14x/ 3 i think this would be the answer
Which expression has a value different from the others?
A. -108 + 105
B. 9.9 + (12.9)
C. -7 2/9 - ( -4 2/9)
D. 637 - 641
Answer:
I think B
Step-by-step explanation:
A. -108+105
-3
B. 9.9+(12.9)
22.8
C. -7 2/9 -(-4 2/9)
-3
D. 637 - 641
-4
Is the last one written wrong because if that one is 637-640 or 638-641 than it would equal -3. Then the answer would be B.
What is the value of A in the equation shown?
Answer:
is this algebra 1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
you isolate the variable by dividing each side
consider polynomial function f f(x)=(x-1)^2(x+3)^3(x+1)
use the equation to complete each statement about this function
The zero located and x=1 has a multiplicity of __ and the zero located at x=-3 has a multiplicity of __. The graph of the function will touch, but not cross, the x-axis at the x-value of __.
Answer:
x1=-3, x2=-1,x3=1
Step-by-step explanation:
not sure if this helps but it did for me
The blanks will have values 2, 3, and 1 respectively.
What is zero of a function?
Zero of a function is defined as the roots of the function for which the value of the function will be 0 at those points.
If p is the zero of the function f(x)=0 then f(p)=0.
We have,
f(x) = (x-1)² (x+3)³ (x+1)
Now,
The zero is located at x=1 and has a multiplicity of 2.
Because the number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity.
So,
Now,
The zero is located at x = - 3 and has a multiplicity of 3.
And,
The graph of the function will touch, but not cross, the x - axis at the x - value of 1.
Learn more about zero and multiplicity here:
https://brainly.com/question/14059007
#SPJ2
Did the scale factor of 0.75 enlarge reduce or stay the same?
Answer:
[tex]\huge\boxed{\sf Reduces}[/tex]
Step-by-step explanation:
Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.
Thus the scale factor of 0.75 reduces the dilated image.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807Answer:
-it reduces-
Step-by-step explanation:
good luck:)
Find the value of x.
6x+6
9x-9
32
24
x = [?]
Answer:
x=3
Step-by-step explanation:
[tex]\frac{6x+6}{32} =\frac{9x-9}{24}[/tex]
Cross mutiply and x is equal to 3
Help please!! There are two pictures. This is timed. I’ll give brainliest also!
Answer:
X=-5 y=31
X=-1 , y=7
X=0 , y=1
X=1 y=-5
Step-by-step explanation:
Answer:
x = -5, y = 31
x = -1 , y = 7
x = 0, y = 1
x = 1, y = -5
Step-by-step explanation:
y = -6x + 1
1. y = -6 ( -5 ) + 1
y = 31
2. y = -6 ( -1 ) + 1
y = 7
3. y = -6 ( 0 ) + 1
y = 1
4. y = -6 ( 1 ) + 1
y = -5
Each ___ in a cell has its own specific function.
Answer:
organelle
Explanation: Mitochondria and the cell wall are both examples of organelles since they have their own specific functions (Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.
Each "organelle " in a cell has its own specific function.
What is organelles ?Mitochondria and the cell wall are both examples of organelles since they have their own specific functions. Mitochondria produces the energy and the cell wall protects the cell from things that might be a danger to the cell.
A Cellular respiration is a component of a metabolic process which splits the glucose sugar molecule to produce energy in the form of ATP.
Since we know that Krebs' cycle, oxidative phosphorylation, and glycolysis are all components of cellular respiration.
The cellular respiration activities take place in the mitochondria of the cell, where the oxygen-rich environment which causes the sugar-like glucose to break down into an energy molecule.
A cell organelle having a membrane is a 'mitochondria'. It is a location for cellular respiration and metabolic activities which produce energy.
Learn more about mitochondria by using this link:
brainly.com/question/10688306
#SPJ6
42 kids bought popcorn at the movie. This was 60% of the kids who attended the movie.
How would you summarize the process to find the number of kids who attended the
movie?
Answer:
Total number of children = 70
Step-by-step explanation:
Given:
Number of kids buy popcorn = 42
Percent of kids buy popcorn = 60% = 0.6
Find:
Total number of children
Computation:
Total number of children = Number of kids buy popcorn / Percent of kids buy popcorn
Total number of children = 42 / 0.6
Total number of children = 70
What are the domain and range of the function x^2-2x^2-4?
[tex] {x}^{2} - 2 {x}^{2} - 4 \\ - {x}^{2} - 4[/tex]
The Quadratic Function has the domain as the set of all real numbers.
For the range, start from minimum value to maximum value.
But because the parabola is downward as a < 0. Thus, there are no minimum value but the maximum value instead.
Therefore the range is y <= -4
why is side BD equal to side CE
Answer:
At each vertex at least 3 faces meet (maybe more).
Step-by-step explanation:
The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.
Answer: The numbers are:
965
875
785
695
Step-by-step explanation:
We have a 3 digit number that can be written as:
a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds
b is the tens
c is the unit.
We know that:
"The sum of the tens digit and the hundreds digit of a number is three times the units digit."
a + b = 3*c
" 1/5 of the sum of all three digits is 1 less than the units digit."
(a + b + c)/5 = c - 1
Then we have the two conditions:
a + b = 3*c
(a + b + c)/5 = c - 1
From the first one, we can write:
(a + b)/3 = c
Replacing that in the other equation we get:
(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1
(4/3)*(a + b)/5 = (a/3 + b/3) - 1
(4/15)*(a + b) = (a + b)/3 - 1
(4/15)*(a + b) - (a + b)/3 = - 1
-(1/15)*(a + b) = -1
a = 15 - b
Then we can give different values for b, and find the values of a and c, where a and c must be positive.
b = 9
a = 15 - 9 = 6
Then:
c = (9 + 6)/3 = 5
(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).
This number will be:
695.
if b = 8, then:
a = 15 - 8 = 7
and c = 5, same as before.
the number is 785.
If b = 7, then:
a = 15 - 7 = 8
The number is 875
if b = 6, then:
a = 15 - 6 = 9
The number is:
965
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″? 'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. Second rectangle formed by ordered pairs A double prime at 4, negative 2, B double prime at 4, negative 1, C double prime at 1, negative 1, D double prime at 1, negative 2. Reflected over the x‒axis and reflected over the y-axis Reflected over the y-axis and rotated 180° Reflected over the x‒axis and rotated 90° counterclockwise Reflected over the y-axis and rotated 90° counterclockwise
Answer:
Reflection over the y-axis and rotation of 180°
Step-by-step explanation:
We have,
Rectangle ABCD with co-ordinates A(-4,2), B(-4,1), C(-1,1) and D(-1,2).
It is transformed to a new rectangle A'B'C'D' with co-ordinates A'(-4,-2), B'(-4,-1), C'(-1,-1) and D'(-1,-2).
The graph of both the triangles is shown below.
we see that,
The rectangle ABCD is reflected about y-axis and then rotated 180° to obtain A'B'C'D'.
Reflected about y-axis Rotation of 180°
A= (-4,2) (4,2) A'= (-4,-2)
B= (-4,1) (4,1) B'= (-4,-1)
C= (-1,1) (1,1) C'= (-1,-1)
D= (-1,2) (1,2) D'= (-1,-2)
Hence, the second rectangle is formed by: Reflection over the y-axis and rotation of 180°.
Answer:
b- reflect over y- axis and rotate 180 degrees
Step-by-step explanation:
Reflected about y-axis Rotation of 180°
A= (-4,2) (4,2) A'= (-4,-2)
B= (-4,1) (4,1) B'= (-4,-1)
C= (-1,1) (1,1) C'= (-1,-1)
D= (-1,2) (1,2) D'= (-1,-2)
If 7x-3x+17-x+1=108, what is the value of 4x+x?
Answer:
150
Step-by-step explanation:
1. combine like terms
7x-3x-1x=3x
17+1=18
2. subtract
108-18=90
3. divide
90/3=30
which means x=30
4. plug it in
4X30+30=150