You have $150 to spend at a store. If you shoes cost $30 and belts cost $25, write an equation that represents the different ways that you could spend a total of $150, create a graph of the equation

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Answer:0

Step-by-step explanation:

hey i'm in the six grade i'm not sure but pls try it

The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.

If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.

Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.

Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).

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Using a two-column proof, we can show that segment AM is congruent to segment СМ as explained below in the given table.

The image attached below shows parallelogram ABCD having two diagonals, AC and BD. To proved that segment AM is congruent to segment CM, we would apply the two-column proof as shown below:

Statement                                        Reason                                      

1. Parallelogram ABCD                  1. Given

2. AD║BC                                        2. Properties of parallelogram

3. <MAD ≅ <MCB;                           3. Alternate interior angles theorem.

<ADM ≅ <CBM                            

4. AD ≅ CB                                      4. Properties of parallelogram

5. ΔADM ≅ ΔCBM                           5. ASA congruence theorem

6. AM ≅ CM                                     6. CPCTC

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Answer:

0 < 5 < 54/7 < 52/3

Step-by-step explanation

0/21 < 105/21 < 162/21 < 364/21

Answer:

x = 7

Step-by-step explanation:

yeah

Answer:

x = 7

Step-by-step explanation:

-4x - 3 = -3x - 10\\ \\

      +3           +3

-4x = -3x + 7

+3x    +3x

-x = 7

/-1  /-1

x = 7

Answer:

0

Step-by-step explanation:

0 is an integer.

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The set of side measurements that could be used to form a right triangle is

The problem is solved using the Pythagoras theorem is applicable to right triangle.  

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

the set of sides that adheres to this theorem can form a right triangle

plugging the values as in the problem  6, 8, 10

say side 10 = x

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = √100

x = 10

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At the district competition for 5th grade jump-roper of the year, the mean number of jumps, rounded to the nearest hundredth is 242.83 and the median number of jumps is 265

The mean can be calculated as follows:

Observations (the number of jumps each student without pausing was counted); There were 24 observations

Mean is calculated by adding all of the observations together.

Mean = (203 + 245 + 237 + 233 + 90 + 100 + 100 + 277 + 265 + 264 + 265 + 285 + 288 + 291 + 291 + 290 + 300 + 224 + 200 + 257 + 290 + 279 + 266 + 288)/24

Mean = 5828/24

Mean = 242.83

to figure out the median;

The observations must first be put into either ascending or descending order.

Ordered in descending order

90, 100, 100, 200, 203, 224, 233, 237, 245, 257, 265, 265, 265, 266, 277, 279, 285, 288, 288, 290, 290, 291, 291, 300

Given that there have been 24 observations (an even number).

The middle number, 265 and 265 at the midway of items 12 and 13, is used to calculate the median.

The average of these figures is then determined.

Median = 1/2 (265 + 265)

Median = 265

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Answer:

3

Step-by-step explanation:

let's call X the length of the bedroom, Y the wide of the bedroom, A the length of the living room and B the wide of the living room

A living room is two times as long as the bedroom, so:

A = 2X

A living room is one and one-half times as wide as a bedroom, so:

B = 1.5Y

The amount of carpet needed for the living room is A*B and the amount of carpet needed by the bedroom is X*Y

So, AB in terms of XY is:

A*B = (2X)*(1.5Y) = 3(X*Y)

It means that the amount of c arpet needed for the living room is 3 times greater than the amount of carpet needed for the  bedroom.

Answer:

1000

Step-by-step explanation:

2000 : 2 = 1000

Answer:

o

Step-by-step explanation:

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

The perimeter of a square is given by the formula P = 4s, where s is the side length. In this case, we are given that the perimeter is (12x - 32) feet, so we can set up an equation:

P = 4s

(12x - 32) = 4s

To solve for s, we can divide both sides by 4:

(12x - 32)/4 = s

Simplifying the expression on the left:

3x - 8 = s

Therefore, the expression in simplest form that represents the side length of the square wrestling mat is 3x - 8 feet.

Answer:

Step-by-step explanation:

the answer would be 3 x − 8 3x-8 3x−8 ft

Answer:

a don't know if right but sorry if wrong

This is the system.

We will use the method of elimination to solve it.

So we will multiply the first equation by 3 and add it to the second one, this will gives us.

Answer:

y= 5/6x+4

Step-by-step explanation:

you go up 5

over 6

so 5/6

then its already on positive 4 so its +4

Slope-intercept form is the form of a line where y equals the product of the slope and the input plus the y-intercept, or:

y = mx + b

\(m = \frac{y_2 - y_1}{x_2-x_1}\\m = \frac{9 - 4}{6-0}\\m = \frac{5}{6}\)

b = 4

The final equation of the line is:

y = 5/6x + 4

Answer:

0.0909

Step-by-step explanation:

4 blue + 5 red + 3 black = 12 chips in total.

p=probability

1st draw:

p (blue) = 4/12

there are now 11 chips in the bag, 4-1 =3 are blue.

2nd draw?

p (blue) = 3/11

probability of pulling one blue chip followed by another blue chip is:

(4/12) X (3/11) = (4X3)/12X11)

= (12)/(132)

= 1/11

0.0909

Answer:

40

Step-by-step explanation:

edg2020

Answer:

X = 40

Step-by-step explanation:

Answer:

Raphael will take 7.5 pages of notes during 3 hours of math class.

Step-by-step explanation:

Given;

35 pages were taken during 14 hours maths class

how many pages of math would Raphael take during 3 hours maths class ?

14 hours --------------35 pages

3 hours --------------- ?

= (3 x 35) / 14

= 7.5 pages

Therefore, Raphael will take 7.5 pages of notes during 3 hours of math class.

Answer:

Step-by-step explanation:

For A, 7x=21, it is asking, 7 multiplied by what number is 21? We can try to figure it out. Let's start with 0.

7(0)≠21

Then 1.

7(1)≠21

7(2)≠21

7(3)=21

Therefore, for question a, the answer is 3.

For question b, it's asking 6 minus what is 2.

With this one, we can say it is 4, since 6-4=2.

Now moving on to B.

a) 2x+4=16

We need to isolate x in order to find it's value.

So we can begin with subtracting 4 from both sides, getting us:

2x=12

Then, if we divide both terms by 2, we get x.

x=12/2

x=6.

b)

3 x (z/4)=9

Again, we need to isolate z.

So, we multiply both sides by 4, getting us

3z=36

then we divide by 3

z=36/3

z=12

c) 16-x=2

Here we simply subtract 16 from each side, then flip the signs to get positive x.

So, 16-x=2

-x=-14

x=14

d) 4k=20

This is essentially asking, 4 times what number is 20?

So we can divide both sides by 4 and get

k=20/4

k=5

Answer:

5 1/8

Step-by-step explanation:

4 + 3/4 + 3/8 =

3/4 + 3/8 = 6/8 + 3/8 = 9/8 = 1 1/8 + 4 = 5 1/8

Answer:

Each pretzel is $4.99

Step-by-step explanation:

20 - 5.03 = 3x

14.97 = 3x

4.99 = x

The solutions to the system of equations 2x + y = 3 and y - 3 = 2x - 2 are (1,5) and (-2,-1).

A mathematical statement that has two expressions with equal values separated by the symbol "equal to" is called an equation. Consider the formula 3x + 5 = 15. Different types of equations exist, including linear, quadratic, cubic, and others. Let's read this article to learn more about math equations.

The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 has the two expressions 3x + 5 and 14 that are separated by the 'equal' sign.

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Area of rectangular base is 18 square centimeters.

The height (given) is 6 centimeters.

The volume of the rectangular prism is 108 cubic centimeters.

For the area of the base, multiply the length of AD times length of CD

9cm × 2cm = 18cm² remember that is square unit measure:

cm² means square centimeters.

The height is the distance between the two bases. Given as AW = 6

To get Volume, multiply the area of one base by the height

18cm² × 6cm = 108cm³  

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Answer:

  a) 7 m

  b) 22 cm

Step-by-step explanation:

Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.

The actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.

  plan : actual = 1 cm : 50 cm

  = 1 cm : 0.5 m

  = 2 cm : 1 m

Multiplying the scale by 7, we have ...

  2 cm : 1 m = 14 cm : 7 m

The actual length is 7 meters.

Multiplying the scale by 11, we have ...

  2 cm : 1 m = 22 cm : 11 m

The plan length is 22 cm.

Step-by-step explanation:

LHS= csc^2 θ . tan^2 θ - 1

= (1/Sin^2 θ). (Sin^2 θ / cos^2 θ) - 1

= 1/cos^2 θ - 1

= (1 - cos^2 θ) / cos^2 θ

= sin^2 θ / cos^2 θ

= tan^2 θ

= RHS

Hence proved

Answer: -9

Step-by-step explanation:

f(x)=-5x-4

f(1)=-5(1)-4

    =-5-4

f(1) =-9