Ava is 23 cm Taller than olivia, and olivia is half the height of lucas. if Lukas is 1.78 meters tall how tall are ava and Olivia? Express there heights in cm.

Answers

Answer 1
Answer: 1.12 meters, which is 112 centimeters :)

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Jason wrote 1 1/3 as a sum of 3 fractions. None of the fractions had a denominator of 3. What fractions might Jason have used?

Answers

11/6 , 1/6 and 10/6 are the answer

Write the slope-intercept form of the equation for the line. a.y = 2x – 1 b.y = 1/2x + 1 c.y = –2x – 1 d.y =1/2 x – 1

Answers

Answer:

y = 2x -1

Step-by-step explanation:

the line passes through -1 on the graph

it rises 2

and moves right once

Hope this helps ! (:

There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9?3
 5




Answers

For example, y = k/x; when x = 3 => k = 3y; when y = 9 => k = 27  and x = 27/9 = 3;
The answer is 3!

Hey, can someone help me with this?

Answers

Answer:

1/2 ÷ 4 = 1/8

Step-by-step explanation:

The way to think about this is you want to divide how much you have by how many people there are.

The students are selling cookies at a school fair.sara is selling 3 chocolate chip cookies for $2.49 .

a)if you wanted to buy one cookie from Sara how much would it cost ?

b) how much would it cost to buy20 of Sara's cookies ?
show your work and explain you reasoning .

Answers

a)
3 chocolate chip cookies  -    $2.49 .
So 1 
chocolate chip cookies  costs 2.49/3=$0.83
b) 
chocolate chip cookie  costs  $0.83
20 chocolate chip cookies cost 0.83*20=$16.6

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)

Answers

Answer:

:Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

y&lt;4x-8 ----> inequality A

The solution of the inequality A  is the shaded area below the dashed line y=4x-8

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

y\geq -(5)/(2)x+5 ----> inequality B

The solution of the inequality B  is the shaded area above the solid line y=-(5)/(2)x+5

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

Inequality A

-8&lt;4(5)-8

-8&lt;12 ----> is true

so

the ordered pair satisfy inequality A

Inequality B

-8\geq -(5)/(2)(5)+5

-8\geq -7.5 ---> is not true

so

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system