Answer:
See Explanation
Step-by-step explanation:
Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.
Illustration; y is directly proportional to x
The above statement can be represented as:
[tex]y\ \alpha\ x[/tex]
When converted to an equation, you get
[tex]y\ =k x[/tex]
k, in the above equation, represents the constant of proportionality
Divide both sides by x to solve for k
[tex]k = \frac{y}{x}[/tex]
Take for instance: [tex]y = 3x[/tex]
Divide both sides by x
[tex]\frac{y}{x} = 3[/tex] --- 3 is the constant of proportionality
Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them.
Answer:
25 and 26
Step-by-step explanation:
25+26=51
Hope this helps! :)
Answer and Step-by-step explanation:
We can represent the equation like this:
x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.
Solve for x.
Add the x's together.
2x + 1 = 51
Subtract 1 from both sides of the equation.
2x = 50
Divide 2 on both sides of the equation.
x = 25
So, the numbers are 25 and 26.
25 + 26 = 51
#teamtrees #PAW (Plant And Water)
Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)
Answer:
3/4
Step-by-step explanation:
We can use the slope formula when given two points
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(1 - -3)
= (5-2)/(1+3)
= 3/4
Zzzzzzzhelpzzzz zzzzzzzz
the answers are A and D hope this helped
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.
What was the sale price of the skateboard?
can someone help please...
Answer:
the answer is median (b)
What is -33 + m = -29
Answer:
m = 4
Step-by-step explanation:
m = -29 + 33
Answer:
the answer is m=4
hope this helps
have a good day :)
Step-by-step explanation:
33+-29=4
PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.
Answer:
A
Step-by-step explanation:
Hope this helped!
Answer:
i am pretty sure its B
Step-by-step explanation:
I REALLy need help with these I got them wrong
Answer:
A = (1/2 x b x h ) 4 + l^2
= 1/2 x 5 x 8 x4 + 5 x 5
80 + 25
= D. 105 cm2
Answer:
105
Step-by-step explanation:
Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2
Answer:
d = 3h - 6
Step-by-step explanation:
Given
h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )
h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )
3(h - 2) = d , that is
d = 3h - 6
A $108,000 down payment would be? of the purchase price.
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
PLZ HELP SOMEBODY Given the following triangle with the indicated height and base. Write and simplify an expression for the area of the triangle. Justify your answer with the appropriate formulas and calculations. Find a value of that is less than 6 for which the base, height, and area of the triangle are all positive.
Answer:
Step-by-step explanation:
h × b × [tex]\frac{1}{2}[/tex] = A (this is the formula)
2 × 3 × [tex]\frac{1}{2}[/tex] = 3m²
I believe you forgot to mention some information...but hope this helps...
2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet
An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10
Helpppppppp meeeeeeeeeeeeee
Answer:
18
Step-by-step explanation:
(23+7²)= 23+7×7=72
72÷2²= 18
Given the similar triangles at the left, write a similarity statement.
HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!
Answer:
∆ABC~=∆PQR
Angle BAC=QPR
The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points
(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!
Answer:
3 m
Step-by-step explanation:
A hexagon has six sides.
3m x 6 = 18 m
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
3√2
Step-by-step explanation:
since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]
all sides = 2[tex]\sqrt{6}[/tex]
we use Pythagorean theorem for solving x
a^2 + b^2 = c^2
c^2 - a^2 = b^2
(2[tex]\sqrt{6}[/tex])^2 - (
(24) - (6) = b^2
18 = b^2
b = √18 = √(9*2) = 3√2
please if you find the answer helpful mark it brainiest
PLEASE HELP FINDING TRIANGLE ANGLE
Answer:
x = 146
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles
x = 48+98
x = 146
Answer:
The sum of all the angles in a triangle is 180 degrees,
We know the measures of two angles, 48 and 98
if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x
48+98=146
180-146 = 34
now, we have to do 180-34 to find the measure of x.
why? any straight line is 180 degrees.
180-34 = 146
x = 146
hope this is correct and it helps you.
To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus? Explain.
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.
Answer:
The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.
Sample Answer: Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?
Answer:
The committee needs 12 square tables!
Step-by-step explanation:
[tex]8x+6y=150[/tex]
[tex]y=9[/tex]
[tex]8x+6(9)=150[/tex]
[tex]8x+54=150[/tex]
[tex]-54[/tex] [tex]-54[/tex]
[tex]8x=96[/tex]
[tex]/8[/tex] [tex]/8[/tex]
[tex]x=12[/tex]
Hope this helps!
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
Answer:
11.8 % empty
Step-by-step explanation:
volume of cylinder : pi × r² × h
attention ! the question gives us diameter, so for radius we need to cut them in half.
Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³
Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³
after filling B with everything in A there is still some empty volume in B
Vb empty = Vb - Va = 185.35397... ft³
so,
100% Vb = 1570.79633... ft³
1% Vb = 15.7079633... ft³
so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?
185.35397... / 15.7079633... = 11.8%
Please answer properly.
Answer:
Step-by-step explanation:
$15 is a constant value while $5 change depending by the hours.
We can write this expression to find the total cost:
5r + 15
part b
1) substitute r with 3
5 * 3 + 15
2) solve the expression
15 + 15 = $30
6th grade math help me please
Answer: £1.18
Step-by-step explanation: 9.44/8 = 1.18
The volume of the cylinder
Answer:
15550.88
Step-by-step explanation:
the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.
Answer:
15550.88
Step-by-step explanation:
You use πr^2 h
Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)
Answer:
12) A
the values are each devided by three then multiplied by 4
13) C
values are 4 times as big as in the right figure
14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point
x is option A
and y is option C
Solve the inequality and then determine which graph is correct. 55 ≤ 24 + x
Answer:
C is the answer
Step-by-step explanation:
24 + x ≥ 55
x ≥ 31
solutions are all values to the right of 31, including 31
The answer is C.
(Optional) First, reorder the terms of this inequality so you know what you're working with. (x + 24 ≥ 55)
Subtract 24 on both sides of the ≥ sign.
x ≥ 31
When using either ≤ or ≥, it will be a closed circle on a number line. The direction of the sign acts as an arrow that tells you which direction the line will be going.
how to solve!? help pls I’ll give brainliest :))
Let me know if anything's unclear