Answer:
Modeling with Linear Equations
In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called
Answer:
Modeling with Linear Equations
In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called
Step-by-step explanation:
please mark as brainliest !!
write 3.777777777 as a mixed number
15. Create Write a real-world problem that can be solved by modeling integer
operations on the number line.
Answer:
The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?
80 - 10 = 70 degrees
Step-by-step explanation:
The sum of two whole numbers is 64 and their difference is 20. What is the bigger number?
Answer:
42 and 22 are the numbers
Step-by-step explanation:
Let the numbers be x and y
[tex]x + y = 64[/tex]
[tex]x - y = 20[/tex]
On adding both
[tex]x + y + x - y = 64 + 20[/tex]
[tex]2x = 84[/tex]
[tex]x = \dfrac{84}{2} [/tex]
[tex]x = 42[/tex]
Using 1
[tex]42 + y = 64[/tex]
[tex]y = 64 - 42[/tex]
[tex]y = 22[/tex]
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.30. After one month, Paul bought 12 passes and spent a total of $22.60.
How much did he spend on the student discount card?
Answer:
$10.24
Step-by-step explanation:
12(1.30)=12.36
22.60-12.36=10.24
How do I write 680,705 in expanded form.
Answer:
600,000+80,000+700+5
A king Palm can grow about 21 feet a year . Estimate the height of the kind palm , yard ,after 15 years
Answer:
10.5 yards after 15 years
Step-by-step explanation:
2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards
Determine the domain and range of the polynomial function
9514 1404 393
Answer:
(b) domain: all reals; range: y ≤ 6
Step-by-step explanation:
The domain of any polynomial function is always "all real numbers." There are no values of the variable for which a polynomial is undefined.
The range of a polynomial will depend on its degree and the sign of the leading coefficient. Here, the degree is even, so the range has a limit. The leading coefficient is negative, so that limit is a maximum.
Only one answer choice has these characteristics:
domain: all real numbers; range: y ≤ 6
__
The graph confirms this choice of range.
hi guys all can come
qwo-jtvf-xkb
Answer
Hello
how are you
Please help fast Subtract 5/8 - 1/6
Answer:
0.4583
Hope it helps you!!
what is the fraction of 6/7 divided 2
Answer:
the fraction of 6/7 divided by 2 is 3/7
Match the expression to its value.
104
1
= 0.01
102
104
102
10,000
10-4. 102
1
= 0.000001
109
10-4
1
= 0.0001
10-
Answer:
Ans; 10⁴ —> 10, 000
Ans; 10-⁴ / 10² —> 1/ 10⁶ = 0. 000 001
Ans; 10-⁴ × 10² —> 1/ 10² = 0.01
Ans; 10-⁴ —> 1/ 10⁴ = 0. 000 1
I hope I helped you^_^
Answer:
A=a
B=d
C=c
D=b
Step-by-step explanation:
450 m
110
equals which of the following values to the correct number of significant figures?
The equivalent expression of the given value is 4.1 m/s in two significant figures
Your question is incomplete, i believe the following is the intended question.
[tex]\frac{450 \ m}{ 110 \ s}[/tex] equals which of the following values to the correct number of significant figures ?
The express the given value in the correct significant figures we will simplify it as follows:
450 m has 2 significant figures ( 4 and 5)
110 s has 2 significant figures (1 and 1)
Thus, the resultant ratio of the two numbers will be expressed in two significant figures.
[tex]\frac{450 \ m}{110 \ s} = 4.0909 \ m/s\\\\in \ two \ significant \ figures = 4.1 \ m/s[/tex]
Therefore, the equivalent expression of the given value is 4.1 m/s
Learn more here: https://brainly.com/question/23396760
2) A rectangular pyramid has the base area measuring 30 m by 20 m. Given 1 point
that the volume is 7,000 m^3, find its height. *
Answer:
20x30xH=7000
11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.
Answer:
Pyramid Height = 3 * Pyramid Volume / Base Area
Height = 3 * 7,000 / (30 * 20)
Height = 21,000 / 600
Height = 35 meters
Step-by-step explanation:
Oh pls help I have a test tomorrow
Answer:
you would write it as -3.25 as a whole number
Hunter assumed he would only get 64
problems correct on his test, but he
actually got 78 correct. What was his
percent error?
A fair fare. Three strangers, Bob, Mary, and Ivan, meet at a taxi stand and decide to share a cab to cut down the cost. Each has a different destination, but all the destinations are on the highway leading from the airport, so no circuitous driving is required. Bob's destination is 10 miles away, Mary's is 20 miles, and Ivan's is 30 miles. The taxi costs $2.10 per mile including the tip, regardless of the number of passengers. How much should each person pay?
Answer:
$21 the minimum Bob has to may will be the amount payed regardless of the number of passengers in the taxi
435 divided by 15 equals what?
A hotel has a total of 7 floors if there are 35 standard rooms on each floor how many standard rooms are there
Answer:
245
Step-by-step explanation:
multiple the amount of rooms on each floor (35) by the amount of floors (7)
35x7=245 rooms
Determine whether the sequence is arithmetic or geometric.
Sequence 1: –10, 20, – 40, 80, ...
Sequence 2: 15, – 5, – 25, – 45, ...
Which of the following statements are true regarding Sequence 1 and Sequence 2.
A. Sequence 2 is arithmetic and Sequence 1 is geometric.
B. Sequence 1 is arithmetic and Sequence 2 is geometric.
C. Both sequences are geometric.
D. Both sequences are arithmetic.
Answer:
A. Sequence 2 is arithmetic and Sequence 1 is geometric
Step-by-step explanation:
Hello,
Answer A
-10,20,-40,80,.... is geometric= Sequence 1
15,-5,-25,-45.... is arithmetic= Sequence 2
Find the nth term for the following sequences, 100,96,90,82,72.(an^2+bn+c)
9514 1404 393
Answer:
t(n) = -n^2 -n +102
Step-by-step explanation:
We can use the first 3 terms to find a, b, c.
a(1)^2 +b(1) +c = 100
a(2)^2 +b(2) +c = 96
a(3)^2 +b(3) +c = 90
Subtract the first equation from the other two:
3a +b = -4 . . . . . . [eq4]
8a +2b = -10 . . . . [eq5]
[eq5] can be reduced to
4a +b = -5 . . . . . . [eq6]
Subtracting [eq4] from [eq6] gives ...
(4a +b) -(3a +b) = (-5) -(-4)
a = -1 . . . . . . . . simplify
Filling that into [eq4], we get
3(-1) +b = -4
b = -1 . . . . . . . add 3
Putting the values for 'a' and 'b' into the first equation gives ...
-1 +-1 +c = 100
c = 102
Then the n-th term t(n) of the sequence is ...
t(n) = -n^2 -n +102
_____
Additional comment
As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...
a = d2/2b = d1 -3ac = a1 -d1 +d2This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...
a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as aboveJonathan is solving this 3 variable system by hand.
What should be the entries for row 3 in step 3 (list them in order)? A) 0, -1, -2, 1 B) 0, 1, 3, 1 C) 0, 1, -2, 3 D) 3, 2, 1, 1
The entries for Row 3 in step 3 are : 0, -1, -2, 1
R_{1} = Row1
R_{2} = Row 2
R_{3} = Row 3
For the third step, STEP 3 :
THE VALUE OF Row 3 is obtained thus :
[tex]R_{3} = R_{3} - 3R_{1}[/tex]
[tex]From \: step \: 1 : R_{1} = [1 1 1 0][/tex]
[tex]R_{1} = [1 1 1 0] \\ \\
[tex]R_{3} = [3 2 1 1] \\
\\ 3R_{1} = 3(1 1 1 0) = [3 3 3 0][/tex]
[tex]R_{3} - 3R_{1} \: =
(3 - 3), (2 - 3), (1 - 3), (1 - 0) = (0, -1, -2, 1)[/tex]
Hence, the entry for Row 3 in step 3 will be :
(0, - 1, - 2, 1)
Learn more on linear algebra : https://brainly.com/question/13284369
Express (16^3)^1/2
in simplest radical form.
Answer:
I assume you mean 16^(1/3) i.e. the cube root of 16
I am also assuming you mean the real cube root because, as you may know, every non-zero real number has three cube root - one real and two complex conjugates.
Since 16 = 8 x 2 and 8 = 2³ then (2³ x 2)^1/3 = (2³)^1/3 x 2^1/3 = 2 x 2^1/3
You might check that the cube root of 16 is about 2.52 which is twice the cube root of 2
Step-by-step explanation:
Every time Sariyah babysits, she saves $12 of her earnings. Every time Aaron
babysits, he saves $9 of his earnings. After babysitting a number of times, Sariyah
and Aaron have saved the exact same amount of
earnings. What is the least possible
amount of savings they could each have?
Answer:
The least possible amount of saving they could each have is 36$
Step-by-step explanation:
12+12+12 = 36
9+9+9+9=36
28 plus 27 multiplied by 36
Answer:
1980
Step-by-step explanation:
The answer to the question
Answer:
5383 4983
i dont know
Step-by-step explanation:
Given the following functions:
f(x)=x^2
g(x)=x−3
Find the composition of the two functions and show your process:
f(g(x))
Answer:
[tex]x^2-6x+9[/tex]
Step-by-step explanation:
Say you have a function [tex]f(x)=x+1[/tex]. If you wanted to find f(3), you would replace the number in the parentheses, in this case 3, with x, to get [tex]f(3)=3+1=4.[/tex] When combining functions, you should do the same thing.
Here, we have [tex]f(x)=x^2.[/tex] We want to find f(g(x)). So, you should replace x in the function f(x) with the function g(x). [tex]g(x)=x-3.[/tex] So, f(g(x)) would equal [tex](x-3)^2[/tex], which equals [tex]x^2-6x+9[/tex].
Hope this helps!
what are the coordinates of the point (2,3) after a counterclockwise rotation of 90° about the origin? Only answer if your 100% right please. Will Mark Brainliest
(-3, 2)
Step-by-step explanation:
when the point is rotated through 90∘ about the origin in the counterclockwise direction then the point M(h,k) takes the image M′(−k,h)
so the point (2,3) will be (-3 ,2 )
Help me pleaseeeesndjkdnskxndkdjd
Step-by-step explanation:
[tex]8x - 3 = 5 + 4y[/tex]
Isolate y first subtract 5 from both sides
[tex]8x - 8 = 4y[/tex]
Divide both sides by 4.
[tex] \frac{8x - 8}{4} = y[/tex]
[tex]2x - 2 = y[/tex]
y= 1
Step-by-step explanation:
Solve for y:
8x - 3 = 5 + 4y
8x = 4y + 5+3
Divide both sides by 8
x = 1÷2y + 1
plug into equation
8 (1÷2y +1) - 3 = 5 + 4y
Distribute
8÷2+ 8 - 3 = 5 + 4y
4 + 5 -5 = 4y
Combine like item
4 = 4y
divide both sides by 4
y= 1
Cody won 64 super bouncy balls playing hoops at the county fair. At school he gave three to every student in his math class. He only has 7 remaining. How many students are in his class ?
need algebraic equation too
Please Help thanks!
Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?
BC=
On a number line, suppose point E has a coordinate of −3,and EG=8.What are the possible coordinates of point G?
The possible coordinates for G are?
Please help!
The measure of side BC is 30 units.
Given:
Points A, B, and C are collinear and B lies between A and C.
[tex]AC=48[/tex]
[tex]AB=2x+2[/tex]
[tex]BC=3x+6[/tex]
To find:
The value of BC.
Solution:
Points A, B, and C are collinear and B lies between A and C. So,
[tex]AB+BC=AC[/tex] [Segment addition postulate]
[tex](2x+2)+(3x+6)=48[/tex]
[tex]5x+8=48[/tex]
Subtract 8 from both sides.
[tex]5x=48-8[/tex]
[tex]5x=40[/tex]
Divide both sides by 5.
[tex]\dfrac{5x}{5}=\dfrac{40}{5}[/tex]
[tex]x=8[/tex]
Now,
[tex]BC=3(8)+6[/tex]
[tex]BC=24+6[/tex]
[tex]BC=30[/tex]
Therefore, the value of BC is 30.
--------------------------------------------------------------------------------------------------------------
The possible coordinates for G are -11 and 5.
Given:
On a number line, suppose point E has a coordinate of [tex]-3[/tex], and [tex]EG=8[/tex].
To find:
The possible coordinates of point G.
Solution:
Either point G lies 8 units left of point E or 8 units right of point E.
[tex]G=-3-8[/tex]
[tex]G=-11[/tex]
And
[tex]G=-3+8[/tex]
[tex]G=5[/tex]
Therefore, the possible coordinates for G are -11 and 5.
Learn more:
https://brainly.com/question/13071707
