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Olenka [21]
2 years ago
10

a grocery bag containing 4 potatoes weighs 2 pounds. An identical bag contains 12 potatoes weighs 4 pounds. Write an equation in

standard form that shows the relationship of the weight (y) and the number of potatoes (x).

Mathematics
2 answers:
diamong [38]2 years ago
8 0
<h2>Answer with Step-by-step explanation:</h2>

Let, the equation which represents  relationship of the weight (y) and the number of potatoes (x) be

y=mx+c

y=2 when x=4

i.e. 4m+c=2 -------(1)

and y=4 when x=12

i.e. 12m+c=4   --------(2)

Subtracting equation (1) from (2), we get

8m=2

i.e. m=1/4

Putting value of m in (1), we get

1+c=2

i.e. c=1

So,  an equation in standard form that shows the relationship of the weight (y) and the number of potatoes (x) is:

y= \dfrac{1}{4}x+1

dolphi86 [110]2 years ago
3 0
Use the ordered pairs to first find the slope then substitution into y=mx+b to find b

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A community is building a square park with sides that measure 145 meters. To separate the picnic area from the play area, the pa
Natasha_Volkova [10]
You can solve this problem by using the pythagorean theorem.
{a }^{2}  +  {b}^{2}  =  {c}^{2}
Where the a- and b-values represent the sides of the triangle. Since the park is a sqaure, each side is equal. This means that both the a-value and the b-value are the same. Now, you must find the c-value.

145^2 + 145^2 = c^2

21,025 + 21,025 = c^2

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205.06 = c

The length of the diagonal line is 205 meters.
4 0
3 years ago
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Answer please...................
Debora [2.8K]
It means that all values of x would make it true. Also take a look at the equation when we simplify:

4x + 7 = 1 + 4x + 6
Which simplified turns into
4x + 7 = 4x + 7

So no matter what value you put for x, it will be the same on both sides, making all values true for x.
5 0
2 years ago
There are 60 girls and 90 boys in the sixth grade at a middle school. What percent of the sixth graders at this middle school ar
KonstantinChe [14]

Answer:

60%

Step-by-step explanation:

First, find the total number of sixth graders

To do this, add the number of girls and boys together

girls+boys

There are 60 girls and 90 boys

60+90

150

Now, find the percent of sixth graders that are boys

To do this, divide the number of boys by the total number of sixth graders

boys/total sixth graders (part/whole)

There are 90 boys, and 150 total sixth graders

90/150

0.6

Convert to a percent. Multiply by 100 or move the decimal place two spots to the right

0.6*100=60

0.6-->6.0-->60.

So, 60% are boys

3 0
3 years ago
The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person
allochka39001 [22]

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)

By substituting values for x1,x2,y1 and y2; the gradient becomes

m = \frac{8 - 2}{5 - 1}

m = \frac{6}{4}

m = \frac{3}{2}

m = 1.50

Hence, the constant of variation is $1.50

7 0
3 years ago
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Explain why their are no solutions to the system of inequalities <br> y ≤2x-5 <br> y ≥2x+1
rosijanka [135]

Answer:

Sorry this is late and I think this is right.

They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.

For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:

<em>y < - 1/2x -3</em>

<em>y > 1/2x + 2</em>

<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.

I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.

7 0
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