Mariam Estimated then Multiplied using these numbers 66 and 35. Her answer was 1,200. Was her solution correct?

the person who entered the room would be 55 years old.

Answer:

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

Step-by-step explanation:

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

Answer:

y = 8

Step-by-step explanation:

because y is directly proportional to .√x

=> y = a√x

but when x = 100, y = 80

=> 80 = 10a

=> a = 8

=> y = 8√x

Answer:

question 5 is choice c

question 6:

conditional statement:

              if it is a fish then it lives in water

                           true

converse statement:

              if it lives in water it is a fish

                           false

Explanation:

Law of Contrapositives:

The law of contraposition says that a conditional statement is true if, and only if, its contrapositive is true.

that applies to question 5 therefore it is c

Hope this helps! <3

Answer:

combined means to add so you are going to add anything over 1 because it says longer than 1

1 1/4 has 2 marks so you add 1 1/4 + 1 1/4 =

they have like denominators so you can add them together

1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2

so your answer is 2 1/2

Answer: the third one

Step-by-step explanation:

Answer:

Z= -150

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Fill in each space with a major or minor sign.

• 6.348 ____<_______ 6.35

• 0.095 _____<_____ 0.2

• –1.21 _____<______ –1.1

• - 10.75 _______<____ 10.585

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Pea = \$ 3\frac{3}{4}[/tex]

[tex]Corn = \$ 1\frac{1}{2}[/tex]

Required: Determine the total sales

The amount of peas and corns sold are not given. So, I will make some assumptions

If 1 square foot of pea is sold at [tex]\$ 3\frac{3}{4}[/tex], then p square feet will be sold at: [tex]\$ 3\frac{3}{4}p[/tex]

Similarly:

If 1 square foot of corn is sold at [tex]\$ 1\frac{1}{2}[/tex], then c square feet will be sold at: [tex]\$ 1\frac{1}{2}c[/tex]

So, the total is:

[tex]Total = 3\frac{3}{4}p + 1\frac{1}{2}c[/tex]

[tex]Total = \frac{15}{4}p + \frac{3}{2}c[/tex]

Assumptions

[tex]p = 8[/tex]

[tex]c =6[/tex]

The equation becomes:

[tex]Total = \frac{15}{4}*8 + \frac{3}{2}*6[/tex]

[tex]Total = 15 * 2 + 3 * 3[/tex]

[tex]Total = 30+ 9[/tex]

[tex]Total = \$39[/tex]

Answer: can someone help i really need it <( _ _ )>

Step-by-step explanation:

help btw i think it is 3 as a hole and 3\8 as a fraction i need to learn about fractions more

Answer:

99

Exp:

495*.2=99

Answer:

triangular prism

Step-by-step explanation:

Answer:

2 meters

Step-by-step explanation:

Given

[tex]Volume = 4.5m^3[/tex]

The question is incomplete as the picture of the tent is not attached.

However, I will use the attached figure to answer the question.

From the attachment, we have:

[tex]b = 1.5m[/tex] --- base of the tent

[tex]l = 3m[/tex] --- length of the tent

Required

Determine the height of the tent

The volume of the tent is:

[tex]\frac{1}{2} * bhl = Volume[/tex]

Where h is the required height.

So, we have:

[tex]\frac{1}{2} * 1.5 * h * 3 = 4.5[/tex]

[tex]\frac{1}{2} * 1.5 * 3 * h = 4.5[/tex]

[tex]\frac{1}{2} * 4.5 * h = 4.5[/tex]

Make h the subject

[tex]h = \frac{4.5 * 2}{4.5}[/tex]

[tex]h = 2m[/tex]

The height of the tent is 2m

Answer:

2 meters

Step-by-step explanation:

We can use the volume formula, V = 1/2 bhl

​

⋅1.5⋅h⋅3

=2.25h

=h

​

The height of the tent is 2 meters.

Hope this helps :)

Answer:

18°

Step-by-step explanation:

x + 140° + 22° = 180° { being sum of angles of triangle }

x + 162° = 180°

x = 180° - 162°

x = 18°

Hope it will help :)

Answer:

the number of cups of sugar he use in all is [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

The number of cups does he use in all as follows:

= Brown sugar + white sugar

[tex]= \frac{2}{3} + \frac{1}{4}\\\\= \frac{8 + 3}{12} \\\\= \frac{11}{12}[/tex]

Hence, the number of cups of sugar he use in all is [tex]\frac{11}{12}[/tex]

Answer:

T I hope this helps:D

9514 1404 393

Answer:

  72 kph

Step-by-step explanation:

The first sentence tells you the speeds are proportional. So, you can write the proportion ...

  kph/mph = 120/75 = x/45

Multiplying by 45 gives x:

  x = (45)(120/75) = 72

72 kph is 45 mph.

Answer:

In the function f(x) = (x − c)2, a positive c-value moves the graph to the right and a negative c-value moves the graph to the left.

In the function f(x) = x2 + d, a positive d-value moves the graph up and a negative d-value moves the graph down.

Step-by-step explanation:

Answer:

In the function f(x) = (x − c)2, a positive c-value moves the graph to the right and a negative c-value moves the graph to the left.

In the function f(x) = x2 + d, a positive d-value moves the graph up and a negative d-value moves the graph down.

Step-by-step explanation:

Answer:

Y e s

Step-by-step explanation:

all the time

I gotta mop the ocean now ;-;

excoose meh

Answer: x = 13.3

Step-by-step explanation:

Use SOHCAHTOA

The opposite of the angle and the adjacent of the angle is given, so use tangent.

tan(35) = x/19

19*tan(35) = x

x = 13.3

Answer: 21

Step-by-step explanation:

The student's mean of the 8 numbers is 20; the total of the numbers will be

8 x 20 = 160

If we take out the 17 the  total will be 160 - 17 = 143

If we then replace the 17 with 25 the total rises to 168.

168 divided by 8 = 21

Answer:

13

Step-by-step explanation:

You times 26 by 2.5 and then divide by 5.

7.  13.2 m

8. 44 in

9. 50.3 cm

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck on getting the question right! because i got it right for my homework!

Step-by-step explanation:

Answer:

[tex] 2 {x}^{4} \sqrt[4]{2x {y}^{3} } [/tex]

Step-by-step explanation:

[tex] {x}^{3} \sqrt[4]{32 {x}^{5} {y}^{3} } \\ \\ = {x}^{3} \sqrt[4]{ {2}^{5} {x}^{5} {y}^{3} } \\ \\ = {x}^{3} \sqrt[4]{ {2}^{4}. 2. {x}^{4}.x. {y}^{3} } \\ \\ = {x}^{3} \sqrt[4]{(2. {x})^{4}.2x {y}^{3} } \\ \\ = {x}^{3} .2. {x}\sqrt[4]{2x {y}^{3} } \\ \\ = 2 {x}^{4} \sqrt[4]{2x {y}^{3} } [/tex]

Answer: See explanation

Step-by-step explanation:

These are the correct ones:

One solution of the equation is (3,2)

One solution of the equation is (-1, 1)

One solution of the equation is (1, 3/2)

There are infinitely many solutions

The equation of the line is y = 1/4x + 5/4

Hope I helped!

Answer:

- 20

Step-by-step explanation:

Total Change in enrollment = - 60

Period of time at which change occurred = 3 years

Average change per year :

Total change in enrollment / period at which change occurred

= - 60 / 3

= - 20

Average change of - 20 enrollments per year

Answer:

1. $2.50

2. 2/5lb

Step-by-step explanation:

1. 2lbs=$5.00 so that means 1lb=$2.50.

2. 1lb=$2.50 so that means 1/5lb=$0.50 which you can then conclude that 2/5lb=$1.00

Answer:

44   |   B

Step-by-step explanation:

16 + 20 + 6 + 2 =  44

Answer:

The answer is Infinitely many

Answer:

original is : 14.281

rounded is: 14.3

Step-by-step explanation: