The equation that describes the relationship between the number of leaves and the length of the vine in inches is y = x + 1. This is derived by calculating the slope of the line that fits the data points and the y-intercept.
Explanation:The subject of this question is mathematics, specifically with a focus on linear relationships. To find an equation modeling the number of leaves y along x inches of vine, we can use the data given. Two points can be derived from this data: (2,3) and (14,15).
A line can be described by the equation y = mx + b, where m is the slope and b is the y-intercept. The slope of the line can be calculated as rise over run, or the change of y divided by the change of x. This gives us (14-2)/(15-3) = 12/12 = 1, so m = 1.
The y-intercept is the 'y' when 'x' equates to zero. By rearranging the equation to b = y - mx, and by substituting any given point and the slope, we can find b. For instance, using the point (2,3), b = 3 - (1*2) = 1. Therefore, the equation that models the number of leaves y along x inches of vine is y = x + 1.
Learn more about Linear Equations here:https://brainly.com/question/32634451
#SPJ2
what is the relation of .8 to .80 >,<, or =
Solving the following problem -25 +37=
Find the value of x so that the function has the given value .q(x)= 1/2x-3;q(x)=-4
To find the value of x when q(x) = -4, we set up the equation and solve for x.
Explanation:To find the value of x for which the function q(x) is equal to -4, we can set up the equation q(x) = -4 and solve for x.
Given q(x) = 1/2x - 3, we can substitute -4 for q(x) and solve:
-4 = 1/2x - 3
Adding 3 to both sides, we get:
-1 = 1/2x
Multiplying both sides by 2 to isolate x, we have:
-2 = x
Therefore, the value of x that makes the function q(x) equal to -4 is x = -2.
Learn more about Function Evaluation here:https://brainly.com/question/12056604
#SPJ3
solve the following equation
2x/3 - x/5 = 7
Please help
an architect is designing a rectangular greenhouse. Along one walks is a 7-ft storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-ft storage area and 6 sections for plants. Al of the sections for plants are of equal length. What is the length of each wall ?
Answer:
The length of each wall is 22 ft.
Step-by-step explanation:
Consider the provided information.
It is given that the length of each section of plants is equal.
Let the length of each plant is x.
Thus, the length of each side is 7-ft storage area and 5 sections for different kinds of plants. i.e.
Length of one side = 7 + 5x
Similarly, on the opposite wall is a 4-ft storage area and 6 sections for plants. i.e.
Length of opposite side = 4 + 6x
For better understanding refer the figure 1:
As we know in a rectangle opposite sides are equal, thus.
7 + 5x = 4 + 6x
Solve for x.
7 - 4 = 6x-5x
x = 3
Thus, the length of one side is:
7 + 5(3) = 7 + 15 = 22 ft
Hence, the length of each wall is 22 ft.
Note: it is not possible to find the length of other two wall as there is no information related with them.
The selling price of an item is $440. It is marked down by 3030%, but this sale price is still marked up from the cost of $280. Find the markup from cost to sale price.
The markup from cost to sale price is $28.
Original selling price - $440Marked down by 30% to $440 - 30% = $308Markup from cost to sale price = Sale price - Cost price = $308 - $280 = $28What is the sum of -2.16 and -1.75
Clara says that if you square the number 4 and then divide the result 2, you end up with 4. Is Clara correct? Explain.
No, Clara is not correct.
Here,
Clara says that if you square the number 4 and then divide the result 2, you end up with 4.
We have to find that Clara is correct or not.
What is expressions ?
Expression in math is a phrase that can contain numbers ( 1, 2, 3 etc.), variables ( x, y, z etc.) and operators
Now,
Clara says that if you square the number 4 and then divide the result 2, you end up with 4.
If we square the number 4 we get,
[tex]4^{2} = 16[/tex]
And, then divide by 2,
[tex]\frac{16}{2} = 8[/tex]
Which is not equal to 4.
Hence, Clara is not correct.
Learn more about the expression visit:
https://brainly.in/question/28536182
#SPJ6
Can I please get help with this one ?
How many segments is 75 broken into? Use this to figure out the value of each segment
1. 16.48 divided by 8
2. 191.7 divided by 9
3.21.64 divided by 4
4. 41.44 divided by 14
The question involves the division of decimal numbers by whole numbers. The results are 2.06, 21.3, 5.41, and approximately 2.96, respectively. For calculations, the decimal point in the quotient is aligned with the decimal point in the dividend.
Explanation:Division of Decimal Numbers
The given question involves the division of decimal numbers by whole numbers. These operations can be easily performed using long division or a calculator:
16.48 divided by 8 equals 2.06.191.7 divided by 9 equals 21.3.21.64 divided by 4 equals 5.41.41.44 divided by 14 equals approximately 2.96.To perform these divisions, place a decimal point in the quotient (the result) directly above the decimal point in the dividend (the number being divided). Then, proceed with the division as you would with whole numbers, bringing down the digits past the decimal point as necessary.
Use long division to convert the rational number 4/9 to its equivalent decimal form. In your final answer, include all of your work.
How do you solve a=bx+cx+d for x
6 points! Giving brainliest to the best answer!!!!
Reporting any silly or incorrect answers.
A car travels 183.75 miles in 5 hours and 15 minutes. How fast did it travel. (put your answer in mph).
two trains left metropolis at the same time. One traveled south at 50mph. the other traveled east at 40mph. how far apart were the trains at the end of 3 hours
Answer:
192.09
Step-by-step explanation:
what is 5 1/2 minus 3 1/4
A ski club had 146 members. Each member paid $30 a month for training fees. How much did the club collect in fees for the year? Show your work.
How to calculate a 20% tip from a $25.50 bill
What does y equal?
3y + 5.2 = 2 - 5y
A wheelchair ramp rises 2.25 feet for every 25 feet of horizontal distance it covers. what is the slope of the ramp?
Sam has 19 1/2 meters of rope to make jump ropes. He needs 3 1/4 meters for each jump rope.
How many jump ropes can Sam make?
A. 6
B. 6 1/4
C. 6 1/2
D. 7
You roll a six sided die. What is the probability of rolling a 1 or 2?
sara nick and robin were collecting cans for a recycling project . sara collected 5 times as many cans as robin . nick collected 6 times as many cans as robin . the 3 children collected a total 216 cans . how many cans did they each collect?
Does this figure have rotational symmetry? A) No, a square cannot be rotated. B) Yes, the figure can be rotated 90°. C) Yes, the figure can be rotated 180°. D) No, no matter how it is rotated it will look different.
The true statement is b. Yes, the figure can be rotated 90°
Does the figure have rotational symmetry
From the question, we have the following parameters that can be used in our computation:
The figure (a square)
Rotational symmetry means that an object looks the same after a certain amount of rotation around a central point.
In the case of a square, it has rotational symmetry of 90 degrees. This means that if you rotate a square by 90 degrees (a quarter turn), it will look exactly the same as it did before the rotation.
Hence, the true statement is b. Yes, the figure can be rotated 90°
Make an estimate for 3389+2712. Write a number model to show your strategy. I know the answer. Can someone explain this to me pls
Final answer:
To estimate the sum of 3389 and 2712, round each number to the nearest thousand (3389 to 3000 and 2712 to 3000) and then add them to get an estimated sum of 6000.
Explanation:
To make an estimate for the sum of 3389 and 2712, you can round each number to the nearest hundred or thousand then add the rounded numbers. In this case, let's round to the nearest thousand for a simpler estimate:
3389 is close to 3000 (rounded down)2712 is close to 3000 (rounded up)Now add the rounded numbers:
3000 + 3000 = 6000
The number model for this estimate strategy is:
\( 3000 + 3000 = 6000 \)
This model shows the process of rounding each term to the nearest thousand and then adding them together to get an estimated sum.
Help me ASAP!!!
(64 ÷ -4) ÷ (-2)
Figure STOP is reflected about the y-axis to obtain figure STO'P. Which statement best describes the relationship between two figures? A. The measure of angle S is equal to the measure of angle P'. B. the measure of angle P is equal to the measure of angle T'. C. Figure STOP is congruent to figure S'T'O'P'. D. Figure STOP is bigger than figure S'T'O'P'
Answer:
C- Figure STOP is congruent to figure S'T'O'P'.
Step-by-step explanation:
1- I got it right on my test
2- If you flipped it they would look exactly the same only backwards.
(Hope that makes sense. Sorry, i'm not good at explaning things)
If r is five less than three times l, then r = A)3l - 5 B)5 - 3l C)5l - 3 D)3(l - 5)
Answer: The correct option is
(A) [tex]r=3l-5.[/tex]
Step-by-step explanation: Given that r is five less than three times l.
We are to write the expression for r.
We have
5 less than three times l can be written as follows :
[tex]3\times l-5=3l-5.[/tex]
Since this is equal to r, so the expression can be written as
[tex]r=3l-5.[/tex]
Thus, the required answer is [tex]r=3l-5.[/tex]
Option (A) is CORRECT.
The number of customers in a store on the first day is represented by (6x-3). The number of customers on the second day is represented by (x-1).Write an expression to find how many more customers visted the store on the first day. Then evaluate the expression if x is equal to 50 PLZZZZ HELP ME ITS DO IN 20 MINS!!!1!!!111111!!! (27 pts)
A number is between 17 and 22. It has prime factors of 2, and 5. What is the number?
There is no number between 17 and 22 that has prime factors of 2 and 5 because the products of these numbers or their powers don't fall within the range of 17 and 22.
Explanation:The question is asking for a number that is between 17 and 22 and has prime factors of 2 and 5. Since 2 and 5 are prime numbers, their products could be solutions. However, the least product of 2 and 5 is 10 which is not between 17 and 22. If we consider the product of the power of these numbers such as 2² = 4 and 5² = 25, still we don't have a number that falls within the 17 and 22 range. Therefore, there is no number that is between 17 and 22 that has prime factors of 2 and 5.
Learn more about Prime Factors here:https://brainly.com/question/29775157
#SPJ3