Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.
Other examples of linear relationships?
Two examples of linear relationships that are useful are:
Changes of units:
These ones are used to change between units that measure the same thing. For example, between kilometers and meters.
We know that:
1km = 1000m
So if we have a distance in kilometers x, the distance in meters y is given by:
y = 1000*x
This is a linear relationship.
Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:
y = a*x
This is a linear relationship.
So linear relationships appear a lot in our life, and is really important to learn how to work with them.
If you want to learn more about linear relationships, you can read:
https://brainly.com/question/4025726
can anyone help me with this please ive been stuck on this for the longest
Answer:
step by step solution:
(r/p)(9) = (9+1)²/(9-4) = 100/5 = 20
(q.s)(3) = (-2(3)+7).(3(3)² - 5(3)) = 1×12 = 12
(q/r)(-1) = (-2(-1) + 7)/(-1+1)² = 9/0 = Undefined
(t + s)(4) = -(4)² + 4(4) + 9 + 3(4)² -5(4) = -16 + 16 +9 + 48 - 20= 37
(s o p)(8) = s(p(8)) = s(8-4) = s(4) = 3(4)² -5(4) = 48 - 20 = 28
(q o t)(7) = q(t(7)) = q(-(7)² + 4(7) + 9) = q(-12) = -2(-12) + 7= 24+7 = 31
(r o u)(1) = r(u(1)) = r(1+6) = r(7) = (7+1)² = 64
(t o s)(0) = t(s(0)) = t(0) = 9
(u-p)(-3) = (-3)³ + 6(-3) - (-3) + 4 = -27 -18 + 3 + 4 = -38
(u o r)(-2) = u(r(-2)) = u((-2+1)²) = u(1) = 1 + 6 = 7
(q o q)(6) = q(q(6)) =q (-2(6) + 7) = q(-5) = -2(-5) + 7 = 17
END
Solve for value and variable. Be sure to write a proportion
Please give full explanation that would be helpful.
Answer:
Step-by-step explanation:
Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.
[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]
8*(x + 12) = 22*5
8x + 8*12 = 110
8x + 96 = 110
8x = 110 - 96
8x = 14
x = 14/8
x = 1.75
If you had a coupon for $0.50 off the price for one of your items, would this change your answer for which is a better buy? Give an example
Answer: yes it would change my answer for what is a better buy
Step-by-step explanation: if you buy a $1.98 large soda for 50¢ off you’ll have a $1.48 soda that is only 30¢ more but the size is significantly larger
Alice has a total of 12 dimes and nickels. She has 2 more nickles than dimes
The total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9
What are nickles, dimes, quarters and cents?A dollar is further divided into some majorly used parts as:
A cent = 100th part of a dollar = $1/100 = $0.01A nickle= 20th part of a dollar = $1/20 = $0.05A dime = 10th part of a dollar = $1/10 = $0.10A quarter = 4th part of a dollar = $1/4 = $0.25How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're specified that:
Alice has a total of 12 dimes and nickels.She has 2 more nickles than dimesSuppose that she has got 'x' nickles.
Then, as it is given that she has 2 more nickles than dimes, therefore, we get:
number of nickles = 2 + number of dimes
x = 2 + 12 = 14
Thus, Alice has got 12 dimes and 14 nickles.
1 dime = $0.1 12 dime = [tex]12 \times 0.1 = \$1.2[/tex]Similarly, we have:
1 nickle = $0.0514 dime = [tex]14 \times 0.05 = \$0.7[/tex]Thus, the total amount of money she got is $1.2 + $0.7 = $1.9
Thus, the total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9
Learn more about forming equations here:
https://brainly.com/question/11938672
#SPJ4
Yosef found this relationship between the quantities in the table.
x
1
2
3
4
5
y
80
160
240
320
400
Multiply x by 8 to get y.
Which error did Yosef make?
Yosef should have added 80 to the x-values to get the y-values.
Yosef should have added 8 to the x-values to get the y-values.
Yosef should have multiplied the x-values by 40 to get the y-values.
Yosef should have multiplied the x-values by 80 to get the y-values.
Yosef should have multiplied the x-values by 80 to get the y-values.
Functions and tablesTables are told used to arrange ungrouped data.
From the given table, we can find the equation by using the coordinate points (1, 80) and (1, 160)
Find the equation of the lineThe standard equation of a line is y = mx + b
m is the slope
b is the y-intercept
Slop = 160-80/2-1
Slope = 80
For the y-intercept
160 = 80(2) + b
b = 0
The required equation is y = 80x
This means that Yosef should have multiplied the x-values by 80 to get the y-values.
Learn more on equation of a line here: https://brainly.com/question/13763238
Answer:
A
Step-by-step explanation:
Anona poured 5.6 cups of
water into her dog's water bowl
this morning. If her dog drinks 27 fluid ounces of the water,
how many fluid ounces of water
will be left in the bowl?
Answer:
Step-by-step explanation: 5.6 would be the add on to 27 so since it included the key word '' left'' you'd substract the two and you'd get your answer, just use calculator. You got this!!!
Go sub to clan fbib !!!!!
Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangle has a width of 6. 4 feet and width of question mark feet. Use the measurements of the original and of the scaled figure to find the scale factor and the missing length. What is the scale factor? What is the missing length of the scale model?.
The scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.
How to calculate the scale factor?Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]
Thus, scale factor is the ratio of the new measurement to the old measurement.
For this case, we're specified that:
Dimensions of the original pool = 24 feet wide by 36 feet long
The scaled rectangle's dimension: 6.4 feet width and L feet length (we assume the length be L units).
So, in scale drawing, 24 feet was converted to 6.4 feet. Let the scale factor be 's', then:
[tex]6.4 = s \times 24\\\\s = \dfrac{6.4}{24} = \dfrac{4}{15}[/tex]
Thus, since length is also scaled by same factor(as the whole figure is scaled by constant scale factor assumingly), we get:
Scaled length = s times original length
[tex]L = \dfrac{4}{15} \times 36 = 9.6 \: \rm feet[/tex]
Thus, the scale factor used for scaling the actual rectangular pool was 4/15 and the length of the scaled rectangle is 9.6 feet.
Learn more about scale factors here :
https://brainly.com/question/8765466
Is (-6, -7) a solution to this system of equations?
y = 4x + 9
y = 2x + 5
Yes or no
Answer:
The answer is no
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 9
y = 2x + 5
For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.
First, I will substitute the first equation, for y, into the second equation:
y = 4x + 9
y = 2x + 5
4x + 9 = 2x + 5
Next, subtract 2x from both sides to isolate x:
4x + 9 = 2x + 5
-2x -2x
2x + 9 = 5
Then, subtract 9 from both sides:
2x + 9 = 5
- 9 - 9
2x = -4
Now, divide both sides by 2:
2x = -4
/2 /2
x = -2
Now, we find the value of y, by substituting -2 for x:
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
(x, y) ==> (-2, 1)
Check your answer using (-2, 1):
y = 2x + 5
1 = 2(-2) + 5
1 = -4 + 5
1 = 1
This statment is correct
y = 4x + 9
1 = 4(-2) + 9
1 = -8 + 9
1 = 1
This statment is also correct
Check your answer using (-6, -7):
y = 2x + 5
-7 = 2(-6) + 5
-7 = -12 + 5
-7 = -7
This statment is correct
y = 4x + 9
-7 = 4(-6) + 9
-7 = -24 + 9
-7 = -15
This statment is NOT correct
Therefore, no (-6,-7) is NOT a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Answer:
no
Step-by-step explanation:
You decide to put $2,000 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly,
how long does it take until you have $3.000 without depositing any additional funds?
Answer:
12.5 years = 216 months
Step-by-step explanation:
4% of 2000= $80
1000/80=12.5
It will take 12.5 years to make $1000 on its own without adding additonal funds.
a cone has a volume of 1144.53 cubic inches. the base of the cone has a radius of 9 inches. what is the height of the cone? record your answer to the nearest tenth of an inch. Use 3.14 for pie
Answer: 13.5 in
Step-by-step explanation:
The formula for the volume of a cone is: V = π*r^2*(h/3).
Therefore, when the given numbers are plugged in, it becomes:
1144.53 = (3.14)(9^2)(h/3).
Solving this for h, we get the answer of 13.5 in
In factorization, when you are factoring out a number, how do you know like which sign to out with it. Like if I’m factoring out 2 from a bracket. Which sign do I put with it ?
Pls help me
AND
PLS FOLLOW THE RULES
TROLL FOR POINTS= REPORT
FIRST AND CORRECT ANSWER= BRAINLIEST
( NO LINKS ) at all
Pythagorean Theorem: a^2 + b^2 = c^2
a = 23 m
b = 11 m
c^2 = (23 m)^2 + (11 m)^2 = 650 m^2
c = sqrt(650 m^2) = 25.5 (rounded to nearest tenth)
Jorge has 24 ounces of baking powder to use for baking loaves of bread. If each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?
loaves of bread
System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no.is the correct answer.
When plotting an ordered pair, X comes before Y
Answer:
True
Step-by-step explanation:
I always remember it, over then up
Help...........................
It has a ratio of 1:4, meaning for every x, you'd get 4 from your y
What is the correct answer for this?
Answer:
2.744 cubic milimeters
Step-by-step explanation:
Here,
Length ( l ) = 1.4 mm
Base ( b ) = 1.4 mm
Height ( h ) = 1.4 mm
l = b = h = 1.4 mm = a
To find : Volume
This shape is a cube.
Formula : -
Volume of cube = a³
Volume of cube
= 1.4³
= 1.4 x 1.4 x 1.4
= 2.744 cubic milimeters
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 1.4 \times 1.4 \times 1.4}[/tex]
[tex] \mathsf \purple{v = 2.744 {mm}^{3} }[/tex]
2.74 cubic millimeters
is 17/8 and 1/2 a proportional
Answer:
No
Step-by-step explanation:
If you simplify 17/8;
You'd get 2 1/8, and that is not proportional to 1/2.
Answer:NO
Step-by-step explanation:
17 is a prime number hence can't be simplified.
⇒ 17/8 can't be simplified
What is the smallest number by which 256 may be divided so that the quotient is perfect cube?
Answer:
The smallest number by which 256 must be divided so that the quotient is a perfect cube is 4.
Step-by-step explanation:
ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
Answer:
hai
Step-by-step explanation:
Pak Awi mau beli jam tangan Rolex hulk submarine dengan harga 300jt. Dia mau beli 2 tahun lagi
dengan asumsi harga jam naik 2% / tahun. Future Value
Uang pak awi sekarang hanya 100jt, berapa yang harus pak awi tabung tiap bulan nya agar 2 tahun lagi
dia bisa beli jam tangan tersebut, jika bunga tahunan adalah 15% / tahun (pajak = 10%) ??? Present
value. Future value. Present value annuity.
Bunga di terima per bulan, dan tetap di gulung.
Ya Berapa yang dia tabung tiap bulan
-pakai tabel
What is the following product?
3V24•3V45 3V69 4(3V6) 6(3V5) 6(3V10)
Answer:
option 3
Step-by-step explanation:
6(3√5)
Find the value of x
(14x - 13)
(4x + 13)°
(6x + 2)
Answer:
Step-by-step explanation:
as i think it is triangle which means the sum of interior angle 180
14x+13+4x+13+6x+2=180
24x+28=180
24x=152
x=6.2
4 1/5 tons = how many ponds
Answer:
Step-by-step explanation:
21/5*2000= 21*400= 8,400 pounds
Answer:
[tex]\displaystyle 8400\:lbs.[/tex]
Explanation:
On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:
[tex]\displaystyle \boxed{8400} = 2000[4\frac{1}{5}][/tex]
I am joyous to assist you at any time.
Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?
Answer:
1.5hours
Step-by-step explanation:
The triangular right prism shown below has a triangular base whose perimeter is 22.4 inches and whose area is 15.2 inches. If its height is 9.7 inches, then which of the following is its volume in cubic inches?
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a triangular prism is given by:
Volume = Area of triangular base * height.
Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:
Volume = 15.2 * 9.7 = 147.44 in³
The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is 147.44 in³
Find out more on volume at: https://brainly.com/question/12410983
Which expression has a value of 13? (2 points)
a
(20 ÷ 4) − 4 + 3 x 2
b
(18 ÷ 2) + 6 ÷ 6 + 3
c
(16 ÷ 4) + 3 x 4 − 1
d
(10 ÷ 2) − 3 + 4 x 2
Answer:
it is option B that is correct
Step-by-step explanation:
use BODMAS
B- Brackets
O-order
D-division
M-multiplication
Addition
Subtraction
In circle C with m \angle BCD= 46m∠BCD=46 and BC=3BC=3 units, find the length of arc BD. Round to the nearest hundredth.
The length of arc of the given circle, to the nearest hundreth, is: 2.41 units.
What is the Length of an Arc?Length of arc = ∅/360 × 2πr, where the radius of the circle is r, and the reference angle is ∅.
We are given the following:
Radius (r) = 3 units
Reference angle (∅) = 46°
Plug in the values into the length of arc formula:
Length of arc = 46/360 × 2π(3)
Length of arc = 2.41 units.
Therefore, the length of arc of the given circle, to the nearest hundreth, is: 2.41 units.
Learn more about length of arc on:
https://brainly.com/question/2005046
Please help with this question I have been stuck on it for so long
Answer:
Step-by-step explanation:
If i is 300 times as much as k, then i=300k.
So we have k(something)=300k -> that something is 300
Keisha received a $90 gift card for a coffee store. She used it in buying some coffee that costs $8.47 per pound. After buying the coffee, she had $47.65 left on her card. How many pounds of coffee did she buy?
Subtract to find how much was spent on coffee:
90 - 47.65 = 42.35
Divide what was spent by the price per pound:
42.35 / 8.47 = 5
They bought 5 pounds of coffee
If 2a+2/a=4, what is the value of 2a^2+2/a^2
Answer:
4
Step-by-step explanation:
2a + 2 / a = 4
2a + 2 = 4a
4a - 2a = 2
2a = 2
a = 1
2a² + 2 / a²
a = 1
2(1²) + 2 / 1²
2 + 2 / 1
4