Kara is sorting buttons by lengths for a craft project.The line plot shows the length of each button.If Kara lines up all the 3/4-inche buttons,what would be the total length

Answers

Answer 1

Answer:

Answer:

$2(1)/(4) inches.$

Step-by-step explanation:

Hi,

We see the plot line below, which shows that three crosses above $(3)/(4) - inch$ buttons, that means we have three such buttons available with us.

To find their total lengths, we have two methods:

We can add the lengths of all buttons, that means add $(3)/(4)$ thrice

Or simply multiply $(3)/(4)$ by three.

$(3)/(4) * 3\n = (3 * 3)/(4)\n= (9)/(4)$

changing this improper fraction into a mixed fraction: $2(1)/(4) inches.$ will be the total length of three buttons lined up.

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Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

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As per the graph, 6 ft is reached at 4 seconds
The graphed line is f = 1.5s

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If we go by the equation, then:

f = 2.25s
6 = 2.25s
s = 6/.2,25
s = 2.67 seconds

In one day, Annie traveled 5 times the sum of the number of hours brian traveled and 2. Together they traveled 20 hours. Find the number of hours each person traveled

Answers

Brian traveled 1 2/3 hours while Annie traveled 18 1/3 hours.

Explanation:
Let b be the number of hours Brian travels. Annie travles 5 times the sum of Brian's hours and 2, or 5(b+2). Together they travel 20 hours:
5(b+2)+b=20.

Use the distributive property:
5*b+5*2+b=20
5b+10+b=20.

Combine like terms:
6b+10=20.

Subtract 10 from both sides:
6b+10-10=20-10
6b=10.

Divide both sides by 6:
6b/6=10/6
b=5/3=1 2/3.

Brian travels 1 2/3 hours. This means Annie travels
5(1 2/3+2)=5(3 2/3)=5(11/3)=55/3=18 1/3 hours.

Annie and Brian traveled 18.3 hours and 1.7 hours respectively

Further explanation

Simultaneous Linear Equations can be solved using one of the following methods :

Elimination Method
Substitution Method
Graph Method

Let's try to solve the problem now.

Let :

Annie's number of hours = A

Brian's number of hours = B

If Annie traveled 5 times the sum of the number of hours brian traveled and 2 , then it could be written as :

$\boxed {A = 5 * ( B + 2 )}$ → Equation 1

If together they traveled 20 hours , then it could also be written as :

$\boxed {A + B = 20}$

$5 * ( B + 2 ) + B = 20$ ← Equation 1

$5B + 10 + B = 20$

$6B = 20 - 10$

$6B = 10$

$B = 10 / 6$

$B = (5)/(3) ~ hours$

$\boxed {\boxed {B \approx 1.7 ~ hours} }$

$A = 5 * ( (5)/(3) + 2 )$

$A = 5 * ( (5)/(3) + (6)/(3) )$

$A = 5 * ( (11)/(3) )$

$A = (55)/(3)$

$\boxed {\boxed {A \approx 18.3 ~ hours} }$

Learn more

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586?

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Elimination , Substitution , Graph , Method , Linear , Equation , Simultaneous

type the equation that shows the relationship between the variables in this chart: x: 1,2,3,4,5 and y: 7,14,21,28,35

Answers

It seems as though when the x value is multiplied by 7, you result in the y values (ex. 1*7 = 7). So you could say y = 7x.

Final answer:

The linear equation that represents the relationship between the variables in the given chart is y = 7x. This is because for every increase of 1 in the x-variable, the y-variable increases by 7, indicating a linear relationship.

Explanation:

The type of equation that shows the relationship between the variables in the chart with x: 1,2,3,4,5 and y: 7,14,21,28,35 is a linear equation. In this case, for every increase of 1 in the x-variable, the y-variable increases by 7. This indicates a direct relationship.

The equation can therefore be presented in the form y = mx + b where 'm' represents the slope of the line (the amount y changes for each unit increase in x), and 'b' represents the y-intercept (the value of y when x = 0).

In this case, the y increases by 7 for each 1 increase in x, therefore m = 7. As the series starts from 7 when x = 1 (not 0), the y-intercept is 0 (since there is no decrease by going back to x = 0), therefore b = 0. This leaves us with the equation y = 7x + 0 which simplifies to y = 7x.