Write an equation to describe the proportional relationship in this table. Explain your thinking and how you got your answer.
PLEASE HELP!! I DONT KNOW WHAT TO DO
Focus on the values in red outside the table (on the left and right sides). As the output increases by 4, the input increases by 1. This leads to the slope being rise/run = 4/1 = 4. The slope is the number just to the left of the x variable. So that's how they ended up with the equation y = 4x.
You can think of it as y = 4x+0, and note how it's in the form y = mx+b
m = 4 = slope
b = 0 = y intercept
The y intercept is the value of y when x = 0.
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Now because x = 0 and y = 0 pair up together, we can find the slope a different way: Pick any row other than the first row. Divide the y value over its paired x value. So let's say we pick on row two and we'd get a slope of y/x = 4/1 = 4.
Or we could pick on row three and get y/x = 8/2 = 4.
Picking on the fourth row gets us the slope to be y/x = 12/3 = 4. We end up with the same slope value each time. Again, this trick only works if (x,y) = (0,0) is on the line. Otherwise, you'll need to use the first method or use the slope formula.
For equations like this, we consider them a direct proportion. As x increases, so does y. As x increases by 1, y increases by 4. This is the same throughout the table.
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A real world example of this could be that x represents the number of sodas you buy, and if each soda is $4, then y = 4x represents the total cost of buying x number of sodas.
For instance, if you bought x = 10 sodas, then y = 4*x = 4*10 = 40 dollars is what you spend overall.
What is the coefficient of the term of degree 4 in this polynomial?
x^8+2x^4 - 4x^3 + x^2-1
Answer:
2
Explanation:
Degree 4 is the term with the exponent that is 4. The 2 in front of the x is the coefficient.
Quentins digital camera takes pictures that measure 1024x768 pixels in size. To place the picture in the school newspaper he needs to reduce each dimension by 65%. What is the total area of the reduced image in square pixels?
HELP WILL MARK BRAINLIEST!!
FIND THE EREA OF THE GIVEN TRIANGLE YOU MUST SHOW WORK!
Answer:
Area = 12 square units
Step-by-step explanation:
Area = b x h x 1/2
Area = 8 x 3 x 1/2
Area = 24 x 1/2
Area = 12
Hope that helps! :)
Answer:
12 is the area . ihshssisjjss
Tim can complete 3 math problems in 10 minutes. How many math problems can he complete in half of an hour?
Which expression is equivalent to the image below?
1/4(12-3x)
A. 3 - 3/4x
B. 3 - 12x
C. 3 + 3/4x
D. -3 -3x
The expression is equivalent to the 1/4 (12 -3x) is 3 - 3/4x.
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression
1/4 (12 - 3x)
Now, using Distributive Property we get
a x (b+ c) = a x b + a x c
Then, 1/4 (12 - 3x)
= 1/4(12) - 1/4 (3x)
= 3 - 3/4x
Thus, the required expression is 3 - 3/4x.
Learn more about Expression here:
https://brainly.com/question/16804733
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what is the sum of 3,9
Answer:
3 + 9 = 12 !
Step-by-step explanation:
Question 3 (1 point)
Find AC. Round to the nearest tenth.
10
1050
12
c
a
AC = 306.1
b
AC = 10.3
ОООО
AC = 17.5
d
AC = 16.6
Gina deposits $2,000 into each of two savings accounts.
• Account I earns 5% annual simple interest.
• Account II earns 5% interest compounded annually.
Gina does not make any additional deposits or withdrawals. What is the sum of the balances of Account I and Account II at the end of 3 years?
PLS HELP ME. I WILL GIVE 40 POINTS.
Answer:
Simple interest:
$2000*(1 + 3*0.05) = $2300Compound interest:
$2000*(1 + 0.05)^3 = $2315.25Sum of the balances:
$2300 + $2315.25 = $4615.25Jo and Paul are arguing about percentages.
Jo says 52% = 0.052
20
Paul says 52% <
Who is correct?
Answer: Paul
Step-by-step explanation: Paul is correct because Joe isn’t.
0.052= 5.2% not 52%
Jo is correct in saying that that number is less than 52%.
Help!! I’ll give brainliest!!
Answer:
A. -1
Step-by-step explanation:
To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.
(3,1) (4,0)
3 - 4 = -1
1 - 0 = 1
-1 ÷ 1 = -1
-1 is the slope.
Guys please help I’m having so much trouble
Answer:
Hello! Your answer would be B)B
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia
Which option best shows X>-19 , The topic is inequalities
Answer:
Step-by-step explanation:
D
Answer:
a
Step-by-step explanation:
unshaded circle is for more than or less than
Un arquitecto ha pagado en un corralón un total de $ 130 por 20 Ladrillos, 5 kg de Arena y 10 kg de Cemento. Calcular el precio de cada articulo, sabiendo que 1 kg de Cemento cuesta el triple que 1 Ladrillo y que 1 kg de Arena cuesta igual que 4 kg de Cemento más 4 Ladrillos. Siendo: número de ladrillos y: kg de arena kg de cemento
Answer:
1 ladrillo cuesta 1 dólar. 1 brick costs 1 dollars.
1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars
1 kg de arena cuesta $ 16: 1 kg sand costs $ 16
Step-by-step explanation:
Spanish
Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada
20b + 5s + 10c = $ 130 --- ecuación 1
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
Poniendo la ecuación 2 en la ecuación 3
1s = 4 (3b) + 4b
1s = 16b ---------- ecuación 4
20b + 5s + 10 (3b) = $ 130
50b + 5s = 130 --- ecuación 5
Poniendo la ecuación 4 en la ecuación 5
50 b + 5 (16b) = 130
50 b + 80b = 130
130 b = 130
b = 130/130 = $ 1 ------- ecuación a
1 ladrillo cuesta 1 dólar.
Poner el valor de costo de 1 ladrillo en estas ecuaciones
1c = 3b ------ ecuación 2
1s = 4c + 4b ------ ecuación 3
1c = 3 (1) = $ 3 -------- ecuación b
1 kg de cemento cuesta 3 dólares
1s = 4c + 4b
1 s = 4 (3) + 4 (1)
1 s = 12 + 4
1s = $ 16 ------ ecuación c
1 kg de arena cuesta $ 16
Poner valores de la ecuación a, b, c en la ecuación 1
20b + 5s + 10c = $ 130
20 (1) + 5 (16) + 10 (3) = 130
20 + 80 + 30 = 130
130 = 130 ------------ por lo tanto probado
English
Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition
20b+ 5s+ 10c= $130--- equation 1
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
Putting equation 2 in equation 3
1s= 4(3b) + 4b
1s= 16b---------- equation 4
20b+ 5s+ 10(3b)= $130
50b + 5s= 130--- equation 5
Putting equation 4 in equation 5
50 b + 5 (16b) = 130
50 b+ 80b= 130
130 b= 130
b= 130/130= $1------- equation a
1 brick costs 1 dollars.
Putting the cost value of 1 brick in these equations
1c= 3b------ equation 2
1s= 4c+4b------ equation 3
1c= 3(1)= $3-------- equation b
1 kg cement costs 3 dollars
1s= 4c+4b
1s= 4(3) + 4(1)
1s= 12+4
1s= $16 ------ equation c
1 kg sand costs $ 16
Putting values from equation a, b, c in equation 1
20b+ 5s+ 10c= $130
20 (1) + 5 (16) + 10 (3)= 130
20 + 80 + 30 = 130
130 = 130 ------------ hence proved
Find the area of the circle.
25 yd
Each container has a base of 4 1/4 yds by 1 2/3 yds. What is the area covered by all the containers?
Answer:
See Explanation
Step-by-step explanation:
Given
Base Dimension
[tex]Length = 4\frac{1}{4}yd[/tex]
[tex]Width = 1\frac{2}{3}yd[/tex]
Required
The base area of all containers
First, calculate the base area of 1 container.
This is calculated as:
[tex]Area = Length * Width[/tex]
[tex]Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd[/tex]
Express as improper fraction
[tex]Area = \frac{17}{4}yd * \frac{5}{3}yd[/tex]
So, we have:
[tex]Area = \frac{17*5}{4*3}yd^2[/tex]
[tex]Area = \frac{85}{12}yd^2[/tex]
The number of containers is not given. So, I will use 'n' as the number of containers.
So, we have:
[tex]Total = n * Area[/tex]
[tex]Total= n * \frac{85}{12}yd^2[/tex]
--------------------------------------------------------------------------------------------
Assume n is 3 (i.e. 3 containers)
The total area is:
[tex]Total= 3 * \frac{85}{12}yd^2[/tex]
[tex]Total= \frac{85}{4}yd^2[/tex]
[tex]Total= 21\frac{1}{4}yd^2[/tex]
--------------------------------------------------------------------------------------------
A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round to the nearest tenth of a foot.
Answer:
21.8
Step-by-step explanation:
The distance for the side of the house will the ladder reach now should be considered as the 21.8 ft.
Calculation of the distance;Since first we have to determine BC i.e.
[tex]= \sqrt{50^2 - 30^2} \\\\= \sqrt{1600}[/tex]
= 40 ft
Now
In the case when Alonso grabs the ladder at its base and pulls it 5 feet farther from the house
So,
[tex]= \sqrt{(50)^2 - (45)^2} \\\\= \sqrt{475} \\\\= 5 \sqrt 19[/tex]
= 21.8 ft.
Learn more about base here: https://brainly.com/question/23854119
Find the remainder when p6–p4–p2–1is divided by p -1
pls fast
Give coordinates for any three points that are on the same vertical line. Include at least one point that has a mixed number as a coordinate. (Can the numbers be made up? I put in (1 1/2,4), (2,4), (5,4) as the answer. Is that correct?)
Answer: No
Step-by-step explanation:
Points inserted are
[tex](1\ \frac{1}{2},4), (2,4), (5,4)\\[/tex]
As all the points have the same y-coordinate, therefore, they must lie on the same horizontal line of [tex]y=4[/tex]
So, the ingested points are not correct.
Points maybe [tex](1,2), (1, 3), (1,3\ \frac{1}{2})[/tex] as they line on the same vertical line.
The line passing through (-2,5) and (2,p) has a gradient of -1/2.
Fnd the value of p
Given:
The line passing through (-2,5) and (2,p) has a gradient of [tex]-\dfrac{1}{2}[/tex].
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The line passing through (-2,5) and (2,p). So, the slope of the line is:
[tex]m=\dfrac{p-5}{2-(-2)}[/tex]
[tex]m=\dfrac{p-5}{2+2}[/tex]
[tex]m=\dfrac{p-5}{4}[/tex]
It is given that the gradient or slope of the line is [tex]-\dfrac{1}{2}[/tex].
[tex]\dfrac{p-5}{4}=-\dfrac{1}{2}[/tex]
On cross multiplication, we get
[tex]2(p-5)=-4(1)[/tex]
[tex]2p-10=-4[/tex]
[tex]2p=-4+10[/tex]
[tex]2p=6[/tex]
Divide both sides by 2.
[tex]p=3[/tex]
Therefore, the value of p is 3.
Annabelle's password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle's password if the digits can repeat itself.
Group of answer choices
21
27
9
3
Answer:
9
Step-by-step explanation:
0,1,2
0,2,1
1,2,0
1,0,2
2,0,1
2,1,0
2,2,2
1,1,1
0,0,0
Write the expression for this problem:
The pizza place sold 1 pizza for 8$ and it costs 0,25$ per garnish.
Answer:
8 + 0.25g
Step-by-step explanation:
(g is the variable for garnish)
L=10 in W=5in H=8in find the volume?
Answer:
V = 400in.
Step-by-step explanation:
We are given the measurements of what can be assumed to be a rectangular prism, and we need to find the volume.
When finding volume of a rectangular prism, we need to multiply length by width by height.
So we know all of these,
L = 10in
W = 5in
H = 8in
V = LWH
Substitute :
V = (10)(5)(8)
Mutiply :
V = (50)(8)
Multiply :
V = 400in.
Answer:
the formula to find volume is length times width times height.
Step-by-step explanation:
10 times 5 = 50 then multiply 50 by 8 which equals 400. brainliest :0
40 people are coming to Tony's party. 20% of them will eat one
hamburger. Hamburgers cost $2.50 each.
How much money will Tony spend on hamburgers?
Answer:
20$
Step-by-step explanation:
20percentage of 40=1/5×40
=8
Tony spent=8×$2.50=20
How long is Mr. Toad?
A 10 cm SECTION OF A METERIC RULER
HELP PLEASEEEEE!!!!!
hyfhsudeh it heieheueheiheeiheehheehe 70m
Please answer this question asap
Answer:
I believe that the answer is 'C. 9d+2c+3t'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
GIVING BRAINLIEST!!!
Answer:
5. the given ordered pair is not a solution 6. the given ordered pair is a solution 7. the given ordered pair is a solution
Step-by-step explanation:
5. 8 = -4(-2) => 8 = 8 (true)
8 = 1/2(-2) + 7 => 8 ≠ 6 (false)
the given ordered pair is not a solution
6. 3 + 5(1) = 8 => 8 = 8 (true)
4(3) - 5(1) = 7 => 7 = 7 (true)
the given ordered pair is a solution
7. -5 = 4 - 9 => -5 = -5 (true)
4 + (-5) = -1 => -1 = -1 (true)
the given ordered pair is a solution
Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4.
Answer:
7x^6 + 4
Step-by-step explanation:
The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes? PLEASE ANSWER WILL GIVE BRAINLEST. please..
Answer:
1,296 FT2
Step-by-step explanation:
Answer:
i tried every way possible and none of the have the same answer as the solutions i made BUT, all of my answer were the closest to 216 so i would guess that one
Step-by-step explanation:
Sorry if i was wrong, i tried my best but i didnt get any of those answers
Find the volume of the triangular prism below 5mm 12mm 3mm
Answer: 90 mm cubed
Step-by-step explanation:
Formula = (L*W*H) / 2
5 * 12 * 3 = 60 * 3 = 180
180 / 2 = 90