Which linear graph represents a proportional relationship?

a graph of a line that passes through the points 0 comma 0 and 2 comma negative 1
a graph of a line that passes through the points 0 comma 1 and 1 comma 3
a graph of a line that passes through the points 0 comma 3 and 1 comma 3
a graph of a line that passes through the points 0 comma negative 1 and negative 1 comma 2

Answer:

The length of the third side is 6.3

The greatest probability of being chosen is for low fat.

What is probability?

Probability is the ration of favorable outcomes and total number of outcomes.

According to the given quantity

Sum of low fat quantity :

3+6+7 = 16

Sum of non fat quantity:

5+2+1 = 8

So the total quantity = 24

The probability to choose low fat yogurt

= (sum of low fat quantity)/(total quantity)

= 16/24

= 8/3

The probability to choose non fat yogurt

= (sum of non fat quantity)/(total quantity)

= 8/24

=1/3

The probability to choose lemon yogurt

= (sum of quantity of lemon)/(total quantity)

= (6+2)/24

= 8/24

= 1/3

The probability to choose lemon yogurt

= (sum of quantity of Banana)/(total quantity)

= 8/24

=1/3

Hence probability of getting low fat yogurt = 8/3 is greater.

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Answer:

y + 10x - 62 = 0

Step-by-step explanation:

Let the linear relation between the two variables  be given by y=mx + c

Now we put the values to get the constants.

58 = 2m + c

52 = 5m + c

solving we get :

52 - 5m = 58 - 2m

or, -6 = 3m

or, m = -2

Now we put those values in the equations

52 = 5m + c

or, 52 = -10 + c

or, c = 62

The equation relating the sunglasses is y + 10x - 62 = 0 .

Check the picture below.

so the angle across 4x is her twin, and 3x + x = 4x.

Answer:

The value of x is 18

Step-by-step explanation:

Answer:

The perimeter of a triangle is the sum of the lengths of all its sides. In a right triangle, the length of the hypotenuse is the longest side, and the other two sides are called legs.

Given that the hypotenuse is 15 centimeters and one of the legs is 9 centimeters, we can use the Pythagorean theorem to find the length of the other leg. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Therefore, we can write the equation:

c^2 = a^2 + b^2

where c is the length of the hypotenuse and a and b are the lengths of the legs. Substituting the given values, we get:

15^2 = a^2 + 9^2

225 = a^2 + 81

144 = a^2

a = 12

So, the length of the other leg is 12 centimeters. The perimeter of the triangle is the sum of the lengths of the three sides, which is 15 + 9 + 12 = 36 centimeters.

Answer:

36 cm

Step-by-step explanation:

First, we have to find the length of the other leg using the Pythagorean theorem.

For that, let the length of the missing leg be x.

Let us find it now.

x² + 9² = 15²

x² + 81 = 225

Subtract 81 from both sides.

x² = 225 - 81

x² = 144

x = √144

x = 12 cm

So, the length of the missing side is 12 cm.

Now, let us find the perimeter of the triangle.

For that, you can simply add the lengths of three sides.

P = 15 + 9 + 12  

  = 36 cm

Answer: 32

Step-by-step explanation:

Here, (3x-4) and (3x-8) make up to 180

So,

3x - 4 + 3x - 8 = 180

6x -12 = 180

6x = 192

x = 32

Hope it helped. Pls mark me the BRAINLIEST!

Answer:

6/7 + 4/21m + 2n

Step-by-step explanation:

The expression 2/7 * (9 + 2/3m + 7n) can be simplified as follows:

Step 1: Simplify the expression inside the parentheses:

9 + 2/3m + 7n = 9 + (2/3)m + 7n

Step 2: Multiply the simplified expression inside the parentheses by 2/7:

2/7 * (9 + (2/3)m + 7n) = 2/7 * (9 + (2/3)m + 7n)

Step 3: Distribute the 2/7 to each term inside the parentheses:

2/7 * 9 + 2/7 * (2/3)m + 2/7 * 7n

Step 4: Simplify the expression by multiplying each term by 2/7:

(2/7) * 9 = 6/7

(2/7) * (2/3)m = 4/21m

(2/7) * 7n = 2n

Step 5: Combine like terms:

6/7 + 4/21m + 2n = 6/7 + 4/21m + 2n

The final result of the product is 6/7 + 4/21m + 2n.

Answer:

3

Step-by-step explanation:

The question does not give enough information for Fred and Ariel to compare their weekly savings.

Answer:

A. 7/9

Step-by-step explanation:

The square root of 49 is 7 and the square root of 81 is 9.

Answer:

Step-by-step explanation:

this one

Answer:

x = 36°

Step-by-step explanation:

Sum of angles = 180°

66°+78°+x = 180°

144°+x = 180°

x = 180°-144°

x = 36°

Hope it helps!

Answer:

59 marbles.

Step-by-step explanation:

Let's call the number of marbles Jessie has "x".

We know that:

x > 50

x < 100

x % 10 = 3

x % 6 = 1

We can start by finding the possible values of x that satisfy both x % 10 = 3 and x % 6 = 1.

Starting from x = 53:

x = 53 satisfies x % 10 = 3 but not x % 6 = 1

x = 59 satisfies both x % 10 = 3 and x % 6 = 1

So, Jessie has 59 marbles.

Answer:

It is the longest side of a right triangle.

Its length is the sum of the lengths of the other two sides.

Answer: x = 31

Step-by-step explanation:

(5x - 16) + (x + 10) = 180

6x - 6 = 180

6x = 186

x = 31

Answer: 31

Step-by-step explanation:

Here,

(5x-16) and (x+10) angles make up to 180. So,

5x - 16 + x + 10 = 180

6x -6 = 180

6x = 180 + 6

6x = 186

x = 186/6

x = 31

Hence, x = 31

Hope it helped. Pls mark me the BRAINLIEST!

Answer: Shown Below

Step-by-step explanation:

Easy, circle the number, then if it is greater than the variable, draw an arrow from the circle to the left. If it is lesser, draw it to the right. If there is a line under the arrow, the circle has to be filled in, otherwise, leave the circle hollow.

Answer:

Step-by-step explanation:

it would be c. 116

This is because each rectangle has an area of  36 and there are 3 which equals 108

Also each triangle has an area of 3.9  and there are two so it is 7.8 for both of the triangles

108+15.6 is 115.8

That is approximately 116

That is why its 116

Answer: 132

Step-by-step explanation:

Area of triangle = bh/2

B = 24

h = 11

So, 24*11/2

= 12*11

= 132 sq. units

Hope it helped. Pls mark me the BRAINLIEST!

Answer:

hi !!

Step-by-step explanation:

you have here a a case of proportionality :

for the potatoes : (2*6)/4= 3 pounds

for the butter : (6*4)/3 = 8 tablespoons

Answer:

r + 17 ≤ 36

Step-by-step explanation:

The inequality that represents all the possible numbers of roses that the florist can still add to the arrangement is:

r + 17 ≤ 36

This means that the total number of roses, including the 17 that have already been used, must be less than or equal to 36. The variable "r" represents the number of additional roses that the florist can add to the arrangement.

Answer:

I think that is correct

Step-by-step explanation:

Answer:

  AC = 5 +5√3 ≈ 13.66

  BC = 5√2 ≈ 7.07

Step-by-step explanation:

You want the measures of sides AC and BC in ∆ABC with AB=10, A=30°, C=45°.

Drawing altitude BD divides the given triangle into two "special" right triangles:

Using these ratios, we find ...

  BD = AB/2 = 10/2 = 5

  AD = BD√3 = 5√3

  CD = BD = 5

  BC = BD√2 = 5√2

Then ...

  AC = AD +CD = 5√3 +5

The side measures are AC = 5+5√3 ≈ 13.66, and BC = 5√2 ≈ 7.07.

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