The box plots below show the ages of college students in different math courses.

A box-and-whisker plot labeled Math 1 is shown. The number line goes from 16 to 22. The whiskers range from 17 to 21, and the box ranges from 18-20. A line divides the box at 19. A box-and-whisker plot labeled Math 2 is shown. The number line goes from 16 to 24. The whiskers range from 17 to 23, and the box ranges from 18-20. A line divides the box at 19.
Math 1 Math 2

Which statement is true?
The median age of the students in Math 1 is greater than the median age of the students in Math 2.
The median age of the students is Math 1 is less than the median age of the students in Math 2.
The mean and median age are most likely the same for both sets of data.
The mean and median age are more likely to be the same for the students in Math 1.

Answer:

D.)<-50.5, 58.1>

Step-by-step explanation:

The vector can be decomposed into its x and y components using trigonometry.

The x and y components of the vector, together with the vector length forms a right triangle, as shown in the figure attached.

The x-component of the vector is given by

[tex]sin (-41^o)=\dfrac{x}{77}[/tex]

[tex]x=77*sin (-41^o)[/tex]

[tex]x=-50.5[/tex]

And the y-component of the vector is given by

[tex]cos(-41^o)=\dfrac{y}{77}[/tex]

[tex]y=77*cos(-41^o)[/tex]

[tex]y=58.1[/tex]

Thus, the vector as an ordered pair is represent by

[tex]\boxed{ (-50.5, 58.1)}[/tex]

which is choice D.

Answer:

read explanation

Step-by-step explanation:

This won't give him the correct answer because if he substitutes zero into anything he will get -5.9. 0 multiplied by anything is 0 and if you put that into bot equations you get the same answer so it won't help him. he should instead try 1 or something like that.

Final answer:

To create an equation yielding a solution of 8, use a variable x and the fraction 1/4. By multiplying x by 32, the equation will result in 8.

Explanation:

To write a multiplication equation with one variable and one fraction yielding a solution of 8:

Start with the fraction 1/4.

Multiply that fraction by x = 32 to get a product of 8.

See picture for answer and explanation.

We can completely define a line equation by only knowing two points on the line, so we will use that to find our line's slope.

The slope is positive. (We will see that the slope is equal to 1/5).

The first general rule is that, if the line, readen from lest to right increases, then the slope is positive. (Here by the description we know that it increases).

But let's find the slope to see this.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we can use two of the given points to find the slope, I will use the first two: (-5, -1) and (0, 0)

We will get:

[tex]a = \frac{0 - (-1)}{0 - (-5)} = \frac{1}{5}[/tex]

So the slope is 1/5, which is positive.

Then the correct option is the first one.

If you want to learn more, you can read:

https://brainly.com/question/19770987

The two numbers being asked in the question are 4 and -1.

This question can be solved using a system of linear equations. Let's call the first number x and the second number y.

From the first statement, we can create one equation: 2x + 4y = 4

From the second statement, we can create another equation: x - y = 5

To solve this system, we can use substitution or elimination method. If we multiply the second equation by 2, we get 2x - 2y = 10. Now, we can subtract the second equation from the first: (2x + 4y) - (2x - 2y) = 4 - 10, which simplifies to 6y = -6. Dividing both sides by 6, we get y = -1.

Substitute y = -1 into the equation x - y = 5, we get x - (-1) = 5. Therefore, x = 5 - 1 = 4.

So, the first number x is 4 and the second number y is -1.

https://brainly.com/question/32634451

#SPJ3

Answer:  15.67

Step-by-step explanation:

Pot Santa

Answer:

15.67

Step-by-step explanation:

focus only on the underlined area

15.666666666667

round the last 6 underlined is what we are going to use to round the one before it

5 or more goes up so the six is now rounded to a seven on that part leaving you with 15.67

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : [tex]1,2,3,4,6,8,12,24[/tex]

Factors of 60 : [tex]1,2,3,4,5,6,10,12,15,20,30,60[/tex]

So,

The greatest common factor of [tex]24[/tex] and [tex]60[/tex] is [tex]12[/tex].

The number of bags William will used for equal distribution = [tex]12[/tex]

Now,

We have to distribute the veggies and fruits in equal number of cans to these [tex]12[/tex]bags.

Number of fruits cans used in each bag = [tex]\frac{24}{12} = 2[/tex]

Number of vegetables can used in each bag = [tex]\frac{60}{12} =5[/tex]

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Final answer:

By computing the greatest common divisor (GCD) of 24 and 60, it is determined that William can create 12 equal bags with each bag having 2 cans of fruit and 5 cans of vegetables.

Explanation:

The student is asking how to divide 24 cans of fruit and 60 cans of vegetables into bags such that each bag contains the same number of cans without any leftovers. This requires finding the greatest common divisor (GCD) of 24 and 60, which is 12. Therefore, William can make 12 bags, with each bag containing 2 cans of fruit and 5 cans of vegetables.

Answer:

70

Step-by-step explanation:

16÷(100%-78%) = 16÷22% = 72.73 =70(correct to the nearest tenth)

Answer:

700  milligrams of protein is contained in one glass.

Step-by-step explanation:

Given:

Protein present in on glass of soy milk =  7 grams

To Find:

How many milligrams of protein does one glass contain =?

Solution:

​We have to convert grams to milligrams

We know that 1 gram  =  100 milligram

then 7 grams  will be  = [tex]7 \times 100[/tex] milligrams

7 grams  =  700 milligrams

Therefore in one glass of soy milk there will be 700 milligrams of proteins

Answer:

  300

Step-by-step explanation:

12 and 25 have no common factors, so their least common multiple is their product:

  12·25 = 300

Matthew will do both again in 300 days.

I'm guessing you mean (6/7)x+(1/2)=7/8

Subtract 1/2 (also 4/8) from both sides:  (6/7)x=3/8

Divide both sides by 6/7: x=21/48=7/16

So x is 7/16

Hope this helped!

Answer:

[tex]V=(a^{4})(b^{6})\ units^3[/tex]

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

In this problem we have

[tex]L=ab^2\\W=ab^3\\H=a^2b[/tex]

substitute

[tex]V=(ab^2)(ab^3)(a^2b)[/tex]

Applying property of exponents

[tex]x^{m} x^{n}x^{r} =x^{m+n+r}[/tex]

[tex]V=(a^{4})(b^{6})\ units^3[/tex]

Answer:

an individual thing or person regarded as single and complete but which can also form an individual component of a larger or more complex whole

Answers are 1. a = 32, b = 2, 3. c = 4, 4. x = -3, 5. y = -7, 6. z = -2, 7. m = -7, 8. n = -4, 9. s = -3, 10. r = 5, 11. t = 3, 12. p = 2, 13. x = 9, 14. w = 6, 15. g = 1.5, 16. v = -16, 17. b = -6, 18. h = -5, 19. k = -2.5, 20. d = -3.5, 21. r = -8, 22. z = -9, 23. x = -7, 24. y = 3.5, 25. y = 9, 26. w = 8.

Step-by-step explanation:

Step 1; To solve the given equations we keep the unknown variable on one side while the known numbers are taken to the other side. If both sides are negative the answer has a positive value while if one side is positive and one side is negative, the answer is negative.

Step 2; Solve

1. a = 9/3=  3,

2. b = 14/7 = 2,

3. c = 36/9 = 4,

4. x = -15/5 = -3,

5. y = 28/-4 = -7,  

6. z = -16/8 = -2,

7. m = 28/-4 = -7,

8. n = 8/-2 = -4,

9. s = -21/7 = -3,

10. r = -25/-5 = 5,

11. t = -18/-6 = 3,

12. p = -18/-9 = 2,

13. x = 18/2 = 9,

14. w = 24/4 = 6,

15. g = 9/6 = 1.5,

16. v = -32/2 = -16,

17. b = -18/3 = -6,

18. h = -35/7 = -5,

19. k = 20/-8 = -2.5,

20. d = 14/-4 = -3.5,

21. r = -72/9 = -8,

22. z = 27/-3 = -9,

23. x = -35/5 = -7,

24. y = 28/8 = 3.5,

25. y = 81/9 = 9,

26. w = 16/2 = 8.

Answer:

Just multiply four times twenty and youll get your answer

See picture for solution to your problem.

Answer:

Step-by-step explanation:

y= 16

x=15

Using the substitution method,

The value of x is -1 and y is 3.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

2x + 6y = 16 _____(1)

3x - 5y = -18 ______(2)

From (1) we get,

2x = 16 - 6y

x = (16 - 6y)/2

Substituting in (2).

3x - 5y = -18

3 x (16 - 6y)/2 ) - 5y = -18

3 x (8 - 3y) - 5y = -18

24 - 9y - 5y = -18

24 + 18 = 9y + 5y

42 = 14y

y = 42/14

y = 3

And,

x = (16 - 6y)/2

x = (16 - 6 x 3) / 2

x = (16 - 18) / 2

x = -2/2

x = -1

Thus,

x = -1 and y = 3.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Answer:

[tex]- (\frac{15 - 4\sqrt{3} }{11} )[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{3}-6}{\sqrt{3} +6} = \frac{(\sqrt{3}-6)(\sqrt{3}-6)}{(\sqrt{3} +6)(\sqrt{3} -6)}[/tex]

[tex]= \frac{(\sqrt{3})^2 - (2\times6\times\sqrt{3}) +6^{2} }{(\sqrt{3})^2 - 6^{2}} = \frac{9 - 12\sqrt{3} + 36}{3 - 36}[/tex]

[tex]\frac{45 -12\sqrt{3} }{-33} =- (\frac{15 - 4\sqrt{3} }{11} )[/tex]

To factor the expression 15x - 25 using the greatest common factor (GCF), divide each term by the GCF. The factored form is 5(3x - 5).

To factor the expression 15x - 25 using the greatest common factor (GCF), we need to find the largest number that divides both terms evenly. In this case, the GCF is 5. We can then divide each term by 5 to factor out the GCF:

15x ÷ 5 = 3x

-25 ÷ 5 = -5

Therefore, the factored form of the expression 15x - 25 is 5(3x - 5).

The expression 15x - 25 is factored by finding the Greatest Common Factor, which is 5, and then dividing each term by 5 to get the factored expression 5(3x - 5).

To factor the expression using the Greatest Common Factor (GCF), we need to identify the highest number that divides both coefficients in the expression 15x - 25. In this case, both 15 and 25 are divisible by 5, so 5 is the GCF of the expression. Applying the distributive property, we factor out the GCF:

Now, the expression 15x - 25 is fully factored as 5(3x - 5).

Answer: Yes

Step-by-step explanation: 7x and 9x are called terms and the numbers in front of the variables, +7 and +9 are called coefficients.

Because the variables, x and x are identical, the two terms in this problem are called like terms so yes, 7x and 9x are like terms.

Answer:

0.25

Step-by-step explanation:

number of trial = 12

probability of getting blue marbles = 3/12

0.25

To meet or beat the sales goal, the inequality 72x + 90y ≥ 360 can be used to represent the number of games that must be sold every day. The graph of this inequality would show the region above or on the line 72x + 90y = 360.

To meet or beat the sales goal of at least $360 per day, we can set up an inequality based on the profits from selling games. Let x be the number of portable game systems sold and y be the number of standard game systems sold. The inequality representing the number of games that must be sold every day is 72x + 90y ≥ 360.

To graph this inequality, we can plot the points on a graph where each point represents a combination of x and y. Then we shade the region that satisfies the inequality, which is the region above or on the line 72x + 90y = 360.

See the graph in the attached image for visual representation.

https://brainly.com/question/30231190

#SPJ11

Answer: 3 2/7

Step-by-step explanation: Your answer would normally be 23/7. Just round and you should get 3 2/7. Also there is a fraction calculator online you could use, it shows you how to work out any problem dealing with fractions. Hope I have helped!  

The value of 3 × 2/7 as a fraction is 6/7.

A fraction describes some part of the total amount. Fractions are of two types one is a proper fraction and another is an improper fraction.

We know a fraction can be written as a form of p/q, where q ≠ 0.

p is the numerator and d is the denominator.

Given 3 × 2/7, we know 3 = 3/1 as every integer can be written as a rational number.

∴ 3/1 × 2/7

= 6/7.

We have to simply multiply the numerator with the numerator and the denominator with the denominator.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Answer:

[tex]200.96sq.ft.[/tex]

Step-by-step explanation:

Given:

            Circumference= 50.24 ft.

We have to find the area of the circle.

Finding the radius with the help of given circumference

            Circumference of a circle= [tex]2\pi r[/tex]

                           [tex]50.24=2*\pi* r\\\\50.24=2*(3.14)*r\\\\50.24=6.28*r\\\\r=\frac{50.24}{6.28} \\\\r= 8ft.[/tex]

Area of a circle=  [tex]\pi r2[/tex]

                     [tex]=\pi *8*8\\\\=64*\pi \\\\=64*3.14\\\\=200.96sq.ft.[/tex]

Final answer:

The largest possible value for y + z, with y < 80 and z ≤ 70, is 149, achieved by taking the maximum whole numbers within those limits: y = 79 and z = 70.

Explanation:

To find the largest possible value of y + z given that y is a whole number less than 80 and z is a whole number less than or equal to 70, we must choose the largest whole numbers that fit these conditions. For y, the largest whole number less than 80 is 79, and for z, the largest whole number less than or equal to 70 is 70 itself. Therefore, the largest possible value for y + z is 79 + 70.

The calculation is straightforward:

79 (maximum y) + 70 (maximum z) = 149

This is the largest sum of y + z based on the given conditions.

Answer:

★THANKS★

ANY DOUBTS? COMMENT PLEASE

The monthly payment of the loan is  =$ 437.5

Step-by-step explanation:

Given , the simple interest due on a six month loan of $2500 is $125.

Total amount he paid =$ (2500+125)

                                    =$2625

The monthly payment of the loan is =$(2625÷6)

                                                                =$ 437.5

Answer:

-6, -7, -8, -9

Step-by-step explanation:

-2x > 10

x < -5

So x can be -6, -7, -8, -9

Any number less than -5 is a solution.

The listed ones are the solutions because they satisfy the the inequality,

-2x > 10

x = -6, -2(-6) > 10 12 > 10

x = -7, -2(-7) > 10 14 > 10

x = -8, -2(-8) > 10 16 > 10

x = -9, -2(-9) > 10 18 > 10

Answer:

28

Step-by-step explanation:

2 pills for 14days=28 pills in total

Answer: 16x² + 8x + 1

Step-by-step explanation:

(4x + 1)(4x + 1)

This expansion can be done in two ways either by direct expansion or by indirect expansion

(1) Direct expansion

(4x + 1)(4x + 1 )

4x X 4x + 4x X 1 + 1 X 4x + 1 X 1

= 16x² + 4x + 4x + 1

= 16x² + 8x + 1

(2) Method

This can be written thus:

(4x + 1 )(4x + 1 ) = (4x + 1 )²

= (4x)² + 2( 4x X 1 ) + 1²

= 16x² + 2(4x) + 1

= 16x² + 8x + 1.

(4x + 1)(4x + 1)

4x · 4x = 16x²

4x · 1 = 4x

1 · 4x = 4x

1 · 1 = 1

16x² + 4x + 4x + 1

16x² + 8x + 1