Answers:
constant of proportionality: 2equation is: c = 2a==================================================
Explanation:
a = number of apples purchased
c = cost in dollars
The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).
To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.
We'll update the equation from c = ka to c = 2a
Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.
Answer:
c=2a
Step-by-step explanation:
c=2a
Francis graphs the system of equations to determine its solution.
3x+2y=12
3x−y=3
What is the correct solution?
Enter your answer by filling in the boxes.
Answer:
Step-by-step explanation:
3x+2y=12 x= −2/ 3 y+4
3x-y=3 x= 1 /3 y+1
i hope this helps in anyway :/
The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
What is a Linear Equation?If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given that the system of linear equations;
3x + 2y = 12 and 3x − y = 3 is
Solving the equations by elimination, we get
x = 2 and y = 3
Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)
For more reference on Linear Equation, click;
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Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answer:
Bridget was thinking of the number 592
correct??
Step-by-step explanation:
Two cars start moving from the same point. One travels south at 60 mi/h and the other travels west at 25 mi/h. At what rate (in mi/h) is the distance between the cars increasing two hours later
25 x 2 = 50
60 x 2 = 120
120 + 50 = 170
So they have travelled 170 miles apart from one another.
or 170 mi/h
1. Write the following statements in the from of equations. a. One third of a number plus 7 is 26
pls tell step by step
Answer:
1/3x+7=26
Step-by-step explanation:
1/3 of a number which could anything so mark as X
add 7
equals 26
1/3x+7=26
DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]
(b)
7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]
c)
[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²
(d)
[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]
Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?
Answer:
a. y = -2/3(x) + 4
B. 2
C. 4
Step-by-step explanation:
The gradient, m = (2-4)/(3-0) = -2/3
A. To find the equation of the line we use:
y - y1 = m(x - x1).
We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.
We will pic points (0, 4)
Substitute it in the equation.
=> y - 4 = (-2/3) (x - 1)
cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.
=> y = (-2/3)x +4..
(ps: this x is a variable)
B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line
C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line
what is the right answer
Answer:
C. The third option
Step-by-step explanation:
square root of 3 = 1.73
2/6 = 0.333
254% = 2.54
I hope that this helps!
The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?
A. 10
B. 15
C. 18
D.20
Answer: 15
Step-by-step explanation: you basically add n per sequence.
0+1 = 1
1+2 = 3
3+3 = 6
6+4 = 10
10+5 = 15
Hope this helps
Plzzzz help meeee plzzzz
Answer:
i. 2040 ii.1632
Step-by-step explanation:
I think i did this right..
Given m∥n, find the value of x and y.(9x+19), (5x-7), (y-1)
Answer: Your x value would be 12 and your y value would be 128
X = 12
Y = 128
Difference between 42.4 and 3.74
Answer:
38.66
Step-by-step explanation:
i need answers thank you
Answer:
A
Step-by-step explanation:
(X-2)(x+1)
Expand and simplify
(x - 2)(x + 1) = ...
= x² + (-2 + 1)x + (-2•1)
= x² - x - 2
subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what
Answer:
[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]
hope helpful <3
Answer:
3/9
Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3
help me please please please
Answer:(-2, -3)
Step-by-step explanation:
U do it then flip it upside down
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps
Answer:
(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)Step-by-step explanation:
Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlinedpa BRAINLEST pls
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!!! i will give brainliest.
Answer:
hope it helps
Step-by-step explanation:
[tex]\\ \sf\longmapsto y+4=2y-15[/tex]
[tex]\\ \sf\longmapsto 2y-y=19[/tex]
[tex]\\ \sf\longmapsto y=19[/tex]
m<K=23°m<N=23°[tex]\\ \sf\longmapsto 2x-3=5[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
PM=5Diagram attached
If you divied 5,500,000 divied by 8,800,000 what is the answer??
Answer:
0.625
Step-by-step explanation:
Just do, 5500000/8800000
Answer:
0.625
Step-by-step explanation:
Because I simplified the fraction
PLS HELP!! I WILL GIVE BRAINLIEST
refer to attachments for the question
In ∆PQR and ∆MNR
PQ=MNQR=RN<Q=<M=90°Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Step-by-step explanation:
PQ ≅ MN ⇒ Given
QR ≅ NR ⇒ Given
R is midpoint of PM ⇒ Given
PR ≅ MR ⇒ Definition of midpoint
ΔPQR ≅ ΔMNR ⇒ SSS postulate
what is 5 taken away from the product of 4 and a number.
Answer:
3
Step-by-step explanation:
Not sure, but let's take 32 to be the answer
4(5+x)=32
4×5= 20
4×x= 4x
20-4x=32
4x=32-20
4x=12
12÷4
x=3
Answer:
4n - 5
Step-by-step explanation:
let the number be n then the product of 4 and this number is 4n
Subtract 5 from 4n gives
4n - 5
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.A coffee ta
For the total multiply the amount by 1 + the meal tax:
25.30 x 1.08 = $27.32
Answer: $27.32
what is f (x) = (3x^4 +1) ^2
Answer:
Cancel the common factor. Divide x x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x3+43 f - 1 ( x ) = 2 x 3 + 4 3 is the inverse of f(x)=3x−42 f ( x ) = 3 x - 4 2
Step-by-step explanation:
Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?
Answer:
97 / 60 is what 2/3 + 3/4 + 1/5 comes
They also come to 1 37/60
Step-by-step explanation:
1 37/60 = 97/60 Does it?
Result = 2/3 + 3/4 + 1/5
The common denominator is 3 * 4 * 5 = 60, so that much is true.
2/3 = 40/60
3/4 = 45/60
1/5 = 12 / 60
When you add these three together, the numerator is 40 + 45 + 12 = 97
So the answer is correct.
Assume f(x) = -2x + 8 and g(x) = 3x. What is the value of ( g o f) (3)?
Answer:
6
Step-by-step explanation:
when calculating (g of f)(3) you first have to substitute 3 in the f(x) equation which would be -2(3)+8=-6+8=2. then you have to do g of f, which is g(2) in this case, and 3(2)=6.
hope this helps! :D
tim drives at an average of 80km
Answer:
80km --- 49.7097mi
Step-by-step explanation:
thats quite slow... but please provide context then i can solve it for you
Need help with this.
Answer:
A. The reciprocal of 9/10 is 10/9
B.2/3
Step-by-step explanation:
A. A reciprocal is the inverse of a number
B. 3/5*10/9=
30/45 or 2/3
5^-3/6^-2 Do not Change answer to Decimal Form.
A: 36/125
B: 125/36
C: 5/9
D: 9/5
[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]
Find the common difference of the arithmetic sequence 13, 21, 29, .
Answer: 8
Step-by-step explanation:
x²-2/p(p²+1)+4
What is the value of factor
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answer:
X = 2
equation x [tex]\leq[/tex] 2
Step-by-step explanation:
You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]
You do this because if you multiply 2*2x and 2*1 you will get 4x+2
Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]
So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like [tex]2(2x+1)\leq 10[/tex]
So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]
you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5. [tex]2x+1\leq 5[/tex]
Now you subtract one from both sides [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]
you'll get 2x=4
divide both sides by 2 to get x=2
To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]
[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]
since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation