The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?

Answer/Step-by-step explanation:

Let x hours be the number of hours Issac worked

    x+6 hours be the number of hours Ruby worked

   4(x+6) hours be the number of hours Svetlana worked.

x + x + 6 + 4(x+6) = 126

x + x + 6 + 4x +24 = 126

                  6x +30 = 126

                         6x = 96

                           x = 16

Therefore, Issac worked 16 hours.

                 Ruby worked 16+6 = 22 hours

                 Svetlana worked 22 × 4 = 88 hours.

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Answer: Ruby: 22 hours, Isaac: 16 hours & Svetlana: 88 hours.

Step-by-step explanation:

Let's begin by assigning letters to represent our unknowns:

R (hours Ruby worked)

I (hours Isaac worked)

S (hours Svetlana worked)

Now let's see if we can express all three unknowns in terms of one unknown, according to the facts given in the problem:

R = I + 6 (Ruby worked 6 more hours than Isaac)

S = 4R (Svetlana worked 4 times more hours than Ruby)

We can see that we can express the hours Isaac worked in terms of Ruby:

R = I + 6, therefore, I = R - 6

Now we have all three unknowns expressed in terms of one unknown (R). Now we can write an equation to express the given sum of their worked hours (126) in terms of our expressions for one unknown (R):

R + (R - 6) + 4R =126

Now let's solve our equation for the value of R and then use our expressions for R to calculate the values for I and S:

R + R - 6 + 4R = 126

6R - 6 = 126

6R = 126 + 6

6R = 132

R = 132/6

R = 22 (hours Ruby worked)

I = R - 6

I = 22 - 6

I = 16 (hours Isaac worked)

S = 4R

S = 4(22)

S = 88 (hours Svetlana worked)

Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

-----------------------------------------

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

Answer:

Step-by-step explanation:

3 x 2 = 6

Matt can make 6 different outfits with these clothes.

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

Given that Matt has 3 different colored T-shirts and 2 different colored shorts.

Matt can make 3 x 2 = 6 different outfits with these clothes.

This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.

So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.

Learn more about permutation here:

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Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

Answer:

x=11

Step-by-step explanation:

the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x

step 1 combine like terms

180=15x+15

step 2 subtract each side by 15

165=15x

step 3 divide each side by 15

x=11

Answer: C. 6

Step-by-step explanation:

Rephrase the expression

6÷8-2+5×20

6-8÷2×5+20

Do division

6-4×5+20

Do multiplication

6-20+20

Do subtraction

-14+20

Do addition

6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(C) 6

Step-by-step explanation:

Have a great day

Answer:

Step-by-step explanation:Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x1"   was replaced by   "x^1".

STEP

1

:

           x

Simplify   —

           3

Equation at the end of step

1

:

 33   x

 —— • —

 7    3

STEP

2

:

           33

Simplify   ——

           7

Equation at the end of step

2

:

 33   x

 —— • —

 7    3

STEP

3

:

Final result :

 11x

 ———

  7

[tex] \huge \purple{\tt{Answer:}} [/tex]

step 1 is wrong . The 1st step should be 15² - 9² = c² .

Answer: step A

Step-by-step explanation:

The Pythagorean theorem is a^2+b^2=c^2, where c is always the hypotenuse (the longest side of the triangle). Step A is written as 9^2(thats the a value squared)+15^2(which is the hypotenuse value squared)=c^2. It should be: 9^2+b^2=15^2

Answer:

7g-2h

Step-by-step explanation:

5g+2g+h-34 = 7g-2h

Answer:

1

Step-by-step explanation:

-2(-3x-4)=14

6x + 8 = 14

6x= 14-8

6x=6

x=1

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer

Answer:

solo respondo esto por los puntos

Answer:

10

Step-by-step explanation:

Answer:

x = 34/27 or 1 7/27

Step-by-step explanation:

55x - 68 = x

-68 = -54x

x = 68/54

Answer:

10.8

Step-by-step explanation:

By sine rule:

[tex] \frac{x}{ \sin 81 \degree} = \frac{7}{ \sin 40 \degree} \\ \\ x = \frac{7 \sin 81 \degree}{ \sin 40 \degree} \\ \\ x = \frac{7 \times0.9876883406 }{0.6427876097} \\ \\ x = \frac{6.91381838}{0.6427876097} \\ \\ x = 10.755992 \\ \\ x \approx 10.8[/tex]

Using the tangent formula we can write as,

Tan 40° = 7 / x

Tan 40 = 0.84

The value of x is 8.3 cm

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

A triangle with angle 40° angle 81° and 7 cm on on side of the triangle.

Using the tangent formula we can write as,

Tan 40° = 7 / x _____(1)

Now,

Tan 40 = 0.84

From (1) we get,

0.84 = 7 / x

x = 7 / 0.84

x = 8.3 cm

Thus,

The value of x is 8.3 cm

Learn more about trigonometric identities here:

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Answer:

You can talk to me

Step-by-step explanation:

Answer:

sure

Step-by-step explanation:

Answer:

391.5

Step-by-step explanation:

Find the area of all the sides.

Triangles area: 9 X 10=90 because there are 2 so you don't need to divide by 2

Rectangles area: (9X10)X2= 180 because there is 2

Another rectangle area 13.5 X 9= 121.5

Add all:   90+180+121.5

Answer 391.5

Answer:

the answer is 1.88 using cosine =adj/hyp

Answer:

[tex]a = 3[/tex]

[tex]b = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question

Required

Identify a and b

The given equation is an exponential function and the general form is:

[tex]f(x) = ab^x[/tex]

When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]

We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

#To make a fraction into percentage, the easy way is to times the fraction with 100

9/10 × 100 = 90

#and so, the percentage of 9/10 is 90%

Answer:

c

Step-by-step explanation:

1 1/2 x1 1/2 x1 =2 and 1/4

2 and 1/4 x 8=18

Answer:

$24 and $16

Step-by-step explanation:

well let’s go through this step by step.

we have $40 which is the regular price, but not only do you want to find what 60% of 40 is, but you want to find out how big the difference is between the 2, in dollars. But i believe we can do that.

So let’s just think. Do you know how to get a percent of something? If so, ignore this next part.  If not, all you want to do is take 40 x 0.60. or whatever number you need. if it’s out of 100, that’s what you would do.

So now that we know how to get a percent of something, let’s find 60% of 40.

40 x 0.60 gives us 24, or in this case it’d be $24.

Great! we found the discount! now all we need to do is find out the difference.

All we need to do from here is take 40 - 24. what is 40 - 24?

16!

Now you’re done! the discount brings it down to $24 and the difference between the starting price and the discount price is 16 dollars.

i hope this was able to help you!

Answer:

x<14

Step-by-step explanation:

Answer:

90 degrees counterclockwise

Step-by-step explanation:

Answer:

jfmfmhhcmcmfnf. cbimvncnvnj

Answer:

The answer is "2(12x+17)"

Step-by-step explanation:

The formula of the perimeter:

[tex]\to \bold{P=xy+yz+xz}[/tex]

       [tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]

Answer:

31

Step-by-step explanation:

I rounded it down thats it

The equality for this equation is

175 + 8b >/=  425

B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides

8b >/= 250

Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says

**edited** I mean divide 8 from both sides.

b = ?  

That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.

Answer:

24 degree Celsius

Step-by-step explanation:

Temperature may be defined as the intensity or the degree of heat that is present in any substance or present in the environment. It is the measure of hotness or coldness of any item or surroundings. Temperature is measured with the help of a comparative scale which shows the how hot or cold the place is or item is.

In the context, Riya uses a comparative scale like the thermometer to measure the temperature of the kitchen. The mercury level on the scale rises and stops at a point indicating the temperature of the kitchen.

Thus the temperature of the kitchen according to the scale is [tex]$24 ^ \circ C$[/tex].

Answer:

Correctly

Step-by-step explanation: