X = odd numbers less than 30
A + 3,9, 15, 21, 27
B = 5, 15, 25
(a) Complete the Venn diagram to represent this information

Answer:

72 mins

Step-by-step explanation:

The number of minutes Sam spent on exercising is 72 minutes. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y = -0.78x + 95

Let x be the number of minutes of television Sam watched each day and y the number of minutes she spent exercising.

Here, x=30

Substitute x=30 in the given function, we get

y = -0.78(30)+95

= -23.4+95

= 71.6

≈ 72 minutes

Therefore, option B is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = -0.78x + 95 models the data in the table.

Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?

A. 45 minutes

B. 72 minutes

C. 83 minutes

D. 118 minutes

Answer:y=4x+2

Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.

Answer:

There are two possible numbers: 99 990 000 and 44 445 555

Step-by-step explanation:

The multiples of 45 are 5 and 9

There are two possible numbers: 99 990 000 and 44 445 555.

Numbers are the numerical values like 1,2,3 etc.It is given that The eight-digit number ppppqqqq, where p and q are digits, is a multiple of 45.

Every multiple of 45 is a multiple of both 5 and 9 here P and Q are single-digit integers.

By using the rules of divisibility we can see that if q=0 or q =5 so 4P+4q is a multiple of 9.

If q=0 4P is a multiple of 9 P=9

If q =5 ( 4p + 5 ) is a multiple of 9

Hence p + 5 = 9 and p =4

Therefore there are two possible numbers: 99 990 000 and 44 445 555.

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Answer:

132 square units

Step-by-step explanation:

We are to find the surface area of a square pyramid.

From the diagram above, we are given:

Slant height = 6 units

Base = 8 units

The formula is given as:

= 2bs + b²

= 2 × 8 × 6 + 6²

= 96 + 36

= 132 square units

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]

Answer:

50 cm² and 56 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the length of the diagonals )

(2)

A = [tex]\frac{1}{2}[/tex] × (8 + 2) × (5 + 5)

   = 0.5 × 10 × 10

   = 5 × 10

    = 50 cm²

(3)

A = [tex]\frac{1}{2}[/tex] × (12 + 2) × (4 + 4)

   = 0.5 × 14 × 8

   = 7 × 8

    = 56 cm²

Answer:

(1-x2)× (2-3x)2

(1-x2) ×(8-36x+54x2-27x3)

8-36x+54x2-27x3-8x2+36x3-54x4+27x5

8-36x+46x2+9x3-54x4+27x5

Answer: 27x5-54x4+9x3+46x2-36x+8  

Step-by-step explanation:

step 1- expand the expression

step 2- remove the parentheses

step 3- collect like terms

step 4- reorder the terms

Answer:

to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that the inequality does not hold, so,

35/50 >= 3/4

does not hold either, therefore the Constitution cannot be ammended

Step-by-step explanation:

The cost of one sandwich is $3.90

The cost of one deknk is $1.50

hopefully this is correct

The system of equations are

The cost of one sandwich x = $ 3.90

The cost of one drink y = $ 1.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one sandwich be x

Let the cost of one drink be y

Now , the equation will be

A customer ordered three sandwiches and two drinks for $14.70

So , 3x + 2y = 14.70   be equation (1)

And , Another customer bought two sandwiches and four drinks for $13.80

So , 2x + 4y = 13.80   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

6x + 8y = 29.4   be equation (3)

Subtracting equation (2) from equation (3) , we get

4x = 15.6

Divide by 4 on both sides of the equation , we get

x = $ 3.90

So , the cost of one sandwich is $ 3.90

And ,

Substituting the value of x in equation (1) , we get

3x + 2y = 14.70

3 ( 3.90 ) + 2y = 14.70

11.70 + 2y = 14.70

Subtracting 11.70 on both sides of the equation , we get

2y = 3

Divide by 2 on both sides of the equation , we get

y = $ 1.50

So , the cost of one drink is $ 1.50

Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively

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Answer:

276 students

Step-by-step explanation:

36/60=0.6

Therefore, 60% of students in the random survey are planning to vote for her. Using that 60%, we can predict how many students in all will vote for her.

460(0.6)=276

That means 276 students will vote for her.

Answer:

m = -1

Step-by-step explanation:

use the slope formula so m = 1- -2 / -1 - 2

m = 1+2/-3, m=3/-3 so m = -1

Answer:

Where are the following expressions?

Step-by-step explanation:

Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

[tex]\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.[/tex]

Hence, the height of tree = 15 ft. 6 inches

Answer:

Step-by-step explanation:

The property of 30°-60°-90° :

The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.

Answer:

The answer would be 2/5

Step-by-step explanation:

Fill in 2 as numerator then 5 as denominator.

(You welcome)

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power". or "Four cubed".

Answer:

3 11/12 in.

Step-by-step explanation:

The radius is simply half of the diameter.

7 5/6  divide by 2 =  3 11/12

Answer:

A)5176

B)647

Step-by-step explanation:

5176 is the highest even number that is divisible by 8

Step-by-step explanation:

7-5= 2

5-1= 4

5+1 =6

7+1= 8

therefore, the four digits even number are 2,4,6,8

Answer: 63 total gummy bears

Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63

Equation= 37 - 16 x 3= 63

Let that be x

[tex]\\ \rm\rightarrowtail x/3+16=37[/tex]

[tex]\\ \rm\rightarrowtail x/3=37-16[/tex]

[tex]\\ \rm\rightarrowtail x/3=21[/tex]

[tex]\\ \rm\rightarrowtail x=21(3)[/tex]

[tex]\\ \rm\rightarrowtail x=63[/tex]

Answer: The answer is 1320 hope this is right.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).

Since, they're similar, the sides are in ratio to eachother:

[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]

12(2x+3)=20(x+3)

24x+36=20x+60

4x=24

x=6

Answer:

I guess the answer is x=0.2/45

Answer:

y=2x-1

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Every 1 x the line goes across it goes up 2 so x=2.  You will also notice that the line passes through -1 on the y so y=2x-1/  BTW great graphing calculator to check lines and equations

desmos calculator

Answer:

front triangle: (6x4)/2 = 12

back triangle: (6x4)/2 = 12

side: 12x5 = 60

other side: 12x5 = 60

bottom: 12x6 = 72

12 + 12 + 60 + 60 + 72 = 216

216 cm squared

Answer:

50 times

Step-by-step explanation:

Given that:

Number of spins = 400

Sample space = (1, 2, 3, 4, 5, 6, 7, 8)

Probabililtybof landing on 6 on a single spin :

Probability = required outcome / Total possible outcomes

P(landing on a six) = 1/ 8

Probability of landing on a 6 in 400 spins :

1/8 * 400 = 50 times

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