Answer:
5
Step-by-step explanation:
y ∝ x
y = k times x
where 'k' is constant
substitute y for -7 and x for -28
-7 = k times -28
-7 = -28k
Divide through by -28
[tex]\frac{-7}{-28}[/tex] = [tex]\frac{-28k}{-28}[/tex]
= [tex]\frac{1}{4}[/tex] =k
formula y = [tex]\frac{1}{4}[/tex] times x
y = [tex]\frac{1}{4}[/tex] times 20
y = 5
By using the proportionality relation, at x = 20 the value of y will be 5.
Calculations for the value of y from the proportional relation:
Given in the question → y ∝ x
y = kx
Here, k = Proportionaility constant
It's given, when x = -28, value of y = -7
By substituting these values in the expression,
-7 = k(-28)
[tex]k=\frac{-7}{-28}[/tex]
k = [tex]\frac{1}{4}[/tex]
Therefore, given expression for the proportional relation will be,
[tex]y=\frac{1}{4}x[/tex]
If x = 20, we have to calculate the value of y,
Substitute x = 20 in the same expression,
[tex]y=\frac{1}{4}(20)[/tex]
y = 5
Therefore, for the value of x = 20, value of y will be 5.
Learn more about the proportional relation here,
https://brainly.com/question/7096655?referrer=searchResults
Which of the following is true about a parallelogram?
The diagonals are equal.
All sides are congruent.
The diagonals bisect each other.
The diagonals are perpendicular.
Answer:
The diagonals bisect each other.
Step-by-step explanation:
Not all diagonals of a parallelogram are equal.
The only quadrilaterals with all four sides being congruent are rhombus and squares so parallelogram is wrong.
The diagonals of a parallelogram bisect each other.
The diagonals of a parallelogram are only perpendicular when it is a square.
what is the product of 4.35 and 0.95
The product of a ration number and irrational number is ______ an irrational number
Answer
always
Step-by-step explanation:
Factor completely 4x^2 − 8x − 60.
A. (4x-20)(x+3)
B. 4(x-5)(x+3)
C. (4x-4)(x+15)
D. 4(x-1)(x+15)
Evaluate the expression when a =
and b = 6.
16a? – 4b =
Answer:
Step-by-step explanation:
16(1/4)^2 - 4(6)
16(1/16) - 24
1 - 24 = -23
thats the problem the words say. Write an expression in simplest form that represents the perimeter of the polygon
Answer:
(29x + 9)
Step-by-step explanation:
Perimeter of a polygon = Sum of measures of all sides of the polygon
Therefore, Perimeter of the given polygon = (9 + 12x + 2x + 2x + 12x + x)
= (9 + 29x)
Expression (29x + 9) will represent the perimeter of the polygon.
Y is inversely proportional to x, when Y = 7, x = 4.
True or False: the constant of proportionality, k, is 20.
Answer:
The given statement Y = 7, x = 4 is False.
Step-by-step explanation:
We are given:
Y is inversely proportional to x, when Y = 7, x = 4.
We need to tell if the statement is True or False: the constant of proportionality, k, is 20.
Y is inversely proportional to x
We can write it as: [tex]y\:\alpha \:\frac{1}{x}\\y=\frac{k}{x}[/tex]
Now, we need to check when Y=7, x = 4 is true or false
We are given k = 20
Now, I can find value of y, by putting values of k and x in the equation:
[tex]y=\frac{k}{x}\\y=\frac{20}{4}\\y=5[/tex]
When we put x = 4, and k =20, we get Y=5 and not Y=7
So, The given statement Y = 7, x = 4 is False.
Can someone pls solve this
Answer:
G=23/16
Step-by-step explanation:
Identify the variable in the algebraic expression.
5x + 13
Answer:
x
Step-by-step explanation:
The definition of a variable is an unknown quantity, usually represented by a letter.
The variable in the algebraic expression 5x + 13 will be 'x'.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
⇒ 5x + 13
Now,
Since, The algebraic expression is,
⇒ 5x + 13
Hence, The variable of the algebraic expression = x
Therefore, The variable in the algebraic expression 5x + 13 = x
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
THE RATIO OF ANTS TO ANTHILLS IS 10,000 TO 3. IF THERE ARE 9 ANTHILLS, HOW MANY ANTS ARE THERE?
Answer:900,000
Step-by-step explanation:
PLEASE HELP Which statement completes step 5 of the proof?
Step 1 segment KL is parallel to the y-axis, and segment JL is parallel to the x-axis.
Step 2 ΔJKL was rotated 90° clockwise to create ΔJ'KL'. Point K did not change position, so it remains point K. Therefore, ΔJKL ≅ ΔJ'KL'.
Step 3 segment K L prime is perpendicular to the y-axis, and segment J prime L prime is perpendicular to the x-axis.
Step 4 segment JK lies on line f and has a slope of 3.
Step 5 ?
Step 6 The product of the slopes of segment JK and segment J prime K is −1; therefore, lines f and g are perpendicular.
Answer:
Segment J’K lies on line g and has a slope of -1/3
Step-by-step explanation:
Im taking the test but I need step 4 but step 5 is filled in for me
Answer:
In case you get the same question
Step-by-step explanation:
60% of what number is 348?
Answer:
208
Step-by-step explanation:
this is what I did. 348×.6
60% of 580 is 348 is the answer you're looking for
If you divide .6 by 348 you get 580.
To check your answer, you can do .4 (40%) multiplied by 580 to get 232
232+348=250 which is 100%
QUESTIONS: Solve for X
please some help! don't just comment just to comment i really need help
by the Angle sum property of triangle,
55+75+(-6+7x) = 180
=> 130 +(-6+7x) = 180
=> (-6+7x) = 180-130
=> (-6+7x) = 50
=> 7x = 50+6
=> 7x = 56
=> x= 56/7
=> x = 8
Need help asap please!!!
Answer:15
Step-by-step explanation: 7 and a half times 2 is 15
the answer to that question is 15.
What is the image point of (-7,1) after a translation left 4 units and down 5 units?
Anyone able to help?
Answer:
What's the question ?
Step-by-step explanation:
I might know
Suppose tortilla chips cost 34.5 cents per ounce . If a bag costs $4.51, how many ounces are in the bag of chips?
Answer:
13.16 oz
Step-by-step explanation:
What is the slope of the line that connects the two points (0,4) and (-2,0)
Answer:
The slope is 2
Step-by-step explanation:
The slope that connects the two points (0, 4) and (-2, 0) is 2.
Which of the following is equivalent to the phrase "the product of thirty and a number is six"?
n - 6 = 30
30 + n = 6
30n = 6
30 + n = 6
Answer:
"The product of thirty and a number is six".
30n=630n=6 is the right answer.
If one line has a slope of -5/4 what would the slope of a line
parallel to that line?
Answer:
[tex]-\frac{5}{4}[/tex]
Step-by-step explanation:
Parallel lines always have equal slopes. Therefore any parallel line to a given line will share the same slope.
Answer:
-5/4
Step-by-step explanation:
Parallel lines have the same slope but a different y intercepts, because if you think about parellel lines, they'll never intersect-- if two lines have the same slope, that means they won't be able to intersect. However, if they have the same slope, they would be coinciding (the same). That's why the y intercepts are different.
Since the slope of the first line is -5/4, the slope for the line parallel to it would also be -5/4
hope this helps!
Need some help don’t understand it
Answer:
find the value
Step-by-step explanation:
duhhhhhhhhh
Answer:
Step-by-step explanation:
6x+8+4x+2=180
the sum of interior angles =180
10x+10=180
10x=180-10
10x=170
x=17
guys help i dont know this Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
100 answer is correct
Step-by-step explanation:
2×10-3×-12+4×11
20+36+44
100 answer is correct
Step-by-step explanation:
2x-3y+4z
x=10
y=12
z=11
2(10)-3(-12)+4(11)
20+36+44
and the answer is 100
(made a lot of mistakes so edited answer!)
good day :)
You buy cheese in 1 pound bags. The recipe for burritos requires 1.7 ounces of cheese per serving. How many servings can you make?
Perform the induced operation
(-7x+1)+(- 2x2 + 7x + 8) =
Answer:
-2[tex]x^{2}[/tex] + 9
Step-by-step explanation:
0[tex]x^{2}[/tex] + (-7x) + 1
+ -2[tex]x^{2}[/tex] + 7x + 8
-2[tex]x^{2}[/tex] + 0x + 9
or
-2[tex]x^{2}[/tex] + 9
Question 9 of 10
Which of the following statements must be true about this diagram? Check
all that apply.
Answer:
Step-by-step explanation:
No problem available to see
Please I really need help on this one
Answer:
hope this hlp u
Step-by-step explanation:
the last one shows the radius
Answer:
figure 4 shows the radius
The rate of change describes how the total cost changes with respect to time. Use this table to find the rate of change.
Answer:
look below ⏬
Step-by-step explanation:
you can see there is a pattern
0.40
0.70
1.00
so you keep adding three (30)
1.30
1.60
1.90
And for 0
0.10
All in oder now
0- 0.10
10- 0.70
20- 1.00
30- 1.30
40- 1.60
50- 1.90
60- 2.20
Pls answer ASAP I will give brainliest answer
Answer:
Volume of the prism = 280 ft^3
Step-by-step explanation:
Recall that the volume of a prism is given by the following formula:
Volume = B * H
where B is the area of the base (in our case a right angle triangle), and H is the prism's height (in our case 16 ft)
Then we estimate the area of the triangle at the base as base* height/2 :
Area triangle = 5 * 7 / 2 = 35/2 ft^2
and multiply by the prism's height to get its volume:
Volume = 35/2 * 16 = 280 ft^3
If your net worth is 50,000 and you pay off your student loan from your savings account how will your net worth statement be affected?
Which of the following fractions is the largest 2/3 1/2
Answer: 2/3
Step-by-step explanation:
2/3 = 4/61/2 = 3/64/6 is greater than 3/6