A proportional relationship exists between x and y. When x=8 the value of y is 14.
(a) Write an equation for y in terms of x.
Answer:
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
Step-by-step explanation:
Proportion means that the change in one quantity causes change in other quantity.
Given that A proportional relationship exists between x and y.
It can be expressed mathematically as:
y ∝ x
When the proportionality symbol is removed, constant of proportionality is introduced which is usually denoted as k
[tex]y = kx[/tex]
Given that y=14 when x=8
Putting in equation
[tex]14 = k * 8\\k =\frac{14}{8}\\k = \frac{7}{4}[/tex]
Putting the value of k in equation
[tex]y = \frac{7}{4}x[/tex]
Hence,
Equation of y in terms of x is: [tex]y = \frac{7}{4}x[/tex]
Write and evaluate the expression. Then, complete the
statements.
Miguel gave away five of the puppies.
Evaluate when p = 7.
Answer:
Step-by-step explanation:
Answer:First, write the expression
✔ p – 5
.
Second,
✔ substitute
7 in for the variable, p.
Third,
✔ simplify
by
✔ subtracting
7 and 5.
The answer is
✔ 2
Step-by-step explanation:
Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK
Answer:
I think it's 12
Step-by-step explanation: i'm sorry if you got it wrong have the same question to.... sorry
Answer:
it is 12
Step-by-step explanation:
(3,-7); m=4/3 write in standard form
Answer:
In standard form it will be 4x-3y=33
Step-by-step explanation:
What is the missing angle? *
PLS I NEED HELP DUE IN 10 MINS
Answer:
80
Step-by-step explanation:
a triangle is 180 degrees in all 60+40 is 100 so by that you can tell its 80
find H.C.F of 2x+4 and x^2-4
Answer:
(x+2)
Step-by-step explanation:
(2x+4) = 2(x+2)
x^2-4 = (x+2)(x-2)
H.C.F = (x+2)
Hope this helped!
Factor each expression separately.
2x + 4 becomes 2(x + 2).
x^2 - 4 becomes (x - 2)(x + 2).
The highest common factor is (x + 2).
can someone help me
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
an equation of the line that passes through (0, 5) and (−1.5, 1).
Answer:
The answer is y=8/3x+5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-5/(-1.5)-0
m=-4/-1.5
m=8/3
y-y=m(x-x1)
y-5=8/3(x-0)
y-5=8/3x-0
+5 +5
y=8/3x+5
Which equation best represents the constant rate of change shown in the pattern between the
figure number, f, and the number of squares, s?
Answer:
. s = 3f the answer is G
Write the equation in Standard Form. y = -2x + 5*
0 2x + y = 5
O 2x + y = -5
O 2x - y = 5
O-2x + y = 5
Answer:
2x + y = 5Step-by-step explanation:
Standard form is:
ax + by = cGiven
y = -2x + 5Converting to standard form
y = -2x + 5 2x + y = 2x - 2x + 52x + y = 5Correct option is the first one
3/8 = 15/x x=?
x/5 = 12/15 x=?
21/28 = 30/x x=?
75/45 = x/21 x=?
5/6 = 8/x x=?
Answer:
a) x=40
b) x=3
c) x=40
d) x=35
e) x=9.6
Step-by-step explanation:
1. Cross multiply.
2. Divide.
What are the two methods of finding unit rate
Answer:
The Packing Cube method and something else I cant remember it.
Step-by-step explanation:
(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. What is the average rate of change?
[tex]\mathrm {Hey, there!}[/tex]
Let's solve your problem:
The answer would be 280%.
We know the following information:
2pm - 15 toilet paper rolls
5pm - 57 toilet paper rolls
We have to find the percent rate of change.
Here is how we will do this problem:
First, Set up a ratio:
Change in the quantity [15 - 57]
-------------------------------------
Original quantity [15]
57 - 15 = 42
Next, we will divide. the ratio.
Given quantity - 42
Number of packs sold at 2pm - 15
Fraction - 42/15
Convert the fraction to a decimal.
Fraction - 42/15
Decimal - 2.8
Make the decimal to a percent.
Decimal - 2.8
Percent - 28%
Add a zero to the 28.
Our answer is 280%
Answer:
14 packs per hourStep-by-step explanation:
2pm ⇒ sold 15 packs 5pm ⇒ sold 57 packsAverage rate of change = change in sale/ change in time
(57 - 15) / (5 - 2) = 42/3 = 14 packs per hourwhich equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7
Answer:
B- y=-3
Step-by-step explanation:
Please help thank you
Answer:
Step-by-step explanation:
A: quotient
B: dividend
C: divider
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Step-by-step explanation:
if the area of a box is 1 cm^2
then area of triangle is6 cm square
take a look at the following set of data: 21,74,42,89,51,38,207 what word would describe the data point 133
9514 1404 393
Answer:
"missing"
Step-by-step explanation:
The value 133 is missing from the given data set.
Answer:
missing
Step-by-step explanation:
because its not in the data
I need help!
Comepare each pair of fractions using Greater than sign , less than sign and equal to.
Answer:
<< >> >=>= =>=< >><< ><<< >>==
Step-by-step explanation:
Answer:
>,>,>,>
>,>,>,<
<,>,<,>
>,<,<,<
=,=,=,<
.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?
What is the answer to this question?
will get awarded with brainliest!
(6x-7)(2x+5)
I need this asap
What is the slope of this graph?
A: 3
B: - 1/3
C: 1/3
D: -3
Answer:
d, -3
Step-by-step explanation:
Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)
Answer:
x = 10/9
Step-by-step explanation:
Solve for x:
(4 x)/5 + 4/3 = 2 x
Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:
(12 x)/15 + 20/15 = 2 x
(12 x)/15 + 20/15 = (12 x + 20)/15:
(12 x + 20)/15 = 2 x
Multiply both sides by 15:
(15 (12 x + 20))/15 = 15×2 x
(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:
12 x + 20 = 15×2 x
15×2 = 30:
12 x + 20 = 30 x
Subtract 30 x from both sides:
(12 x - 30 x) + 20 = 30 x - 30 x
12 x - 30 x = -18 x:
-18 x + 20 = 30 x - 30 x
30 x - 30 x = 0:
20 - 18 x = 0
Subtract 20 from both sides:
(20 - 20) - 18 x = -20
20 - 20 = 0:
-18 x = -20
Divide both sides of -18 x = -20 by -18:
(-18 x)/(-18) = (-20)/(-18)
(-18)/(-18) = 1:
x = (-20)/(-18)
The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):
x = (-10)/(-9)
Multiply numerator and denominator of (-10)/(-9) by -1:
Answer: x = 10/9
Order the set of integers from greatest to least.
{8, 32, 55, 32, 19, 3
Answer:
55,32,32,19,8,3
Step-by-step explanation:
Answer:
55,32,32,19,8,3
Step-by-step explanation:
Paul drank 18.2 ounces of water per day during soccer practice for a total of 54.6 ounces of water. Ryan drank 20.4 ounces of water each day after football practice for a total of 81.6 ounces of water. How many more days of practice did Ryan have than Paul?
A.
They both had the same number of days.
B.
1 day
C.
2 days
D.
3 days
Answer:
B
Step-by-step explanation:
Paul: 54.6/18.2= 3 days
Ryan: 81.6/20.4= 4 days
Answer:
B. 1 day
Step-by-step explanation:
First, we need to find how many days each person practiced for:
Paul- 54.6 ÷ 18.2 = 3
Ryan- 81.6 ÷ 20.4 = 4
4 - 3 = 1, so B is the answer.
I hope this helped, please mark Brainliest, thank you!
if possible can you include your method? :)
Step-by-step explanation:
11/15 = 73.333/100
73.333/100 = 0.73333
0.73333 = 0.73 (2sf/2dp)
Answer:
73/100
Step-by-step explanation
Since 0.73 =11/15 is false, there is no solution.
No solution
0.73 is the same as 73/100
so the answer is
73/100
in decimal form is 0.73
Which storm is likely to cause quick destruction along a narrow path?
hurricane
thunderstorm
tornado
Answer:
tornado bc they are narrow and can cause great destruction :) hope I helped !
A tornado is the storm that is likely to cause quick destruction along a narrow path.
What is storm?A storm is any disturbed state of the natural environment or the atmosphere of an astronomical body.
Tornadoes are characterized by their rapidly rotating column of air that extends from the base of a thunderstorm to the ground.
They can cause widespread damage and destruction within a very short period, along a narrow path that can be just a few meters wide.
While hurricanes can produce powerful winds and storm surge that can cause significant damage and destruction, their effects are spread over a larger area, including a broad swath of coastal areas.
Thunderstorms can also produce damaging winds, hail, and flash flooding, but they usually affect smaller areas compared to hurricanes or tornadoes.
Hence, tornado is the storm that is likely to cause quick destruction along a narrow path.
To learn more on Storms click:
https://brainly.com/question/11163773
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help me solve:
-2*(-10)/(-5)*2-28+(-9)
Answer:
-45
Step-by-step explanation:
Answer:-45
Step-by-step explanation:
-8-28+(-9)
-8-28-9
calculate the sum of the NEGATIVE NUMBERS
10x+36-38x-47 I don't understand this question i am so confused please explain i would be really thankful.
-28x-11
Step-by-step explanation:
10x-38x=-28x
+36-47=-11
so the answer is -28x-11
someone please help look at picture
If f(x) = (2x + 1)2 – 3 and g(x) = 2(2x2 + 3), which statement is true?
A. f(-5) = g(4)
B. f(3) = g(0)
C. f(1) = g(1)
D. f(-3) = g(-2)
Answer:
d
Step-by-step explanation:
becasuse when you multiply all that stuff since x is the is y fancy way o f saying
From the calculations, we can see that the true statement is f(-3) = g(-2): Option D is correct.
Given the following functions
f(x) = (2x + 1)²– 3 and g(x) = 2(2x² + 3),
According to the last option.
f(-3) = (2(-3) + 1)²– 3
f(-3) = (-6+1)² - 3
f(-3) = (-5)² - 3
f(-3) = 25 - 3
f(-3) = 22
For g(-2)
g(-2) = 2(2x² + 3),
g(-2) = 2(2(-2)² +3)
g(-2) = 2(8+3)
g(-2) = 2(11)
g(-2) = 22
Hence from the calculations, we can see that the true statement is f(-3) = g(-2)
Learn more here: https://brainly.com/question/23207600