10) On a football team, there are 14 offensive players and 16 defensive players. If there are
35 offensive players on the team, how many defensive players would there be?

Answer:

8, 9, 10

Step-by-step explanation:

three positive consecutive integers

x, x + 1, x + 2

the product of the smallest and the largest is 26 more than six times the middle integer

x(x + 2) = 6(x + 1) + 26

Expand

x^2 + 2x = 6x + 6 + 26

Combine like terms

x^2 + 2x = 6x + 32

Subtract 6x + 32 from both sides

x^2 - 4x - 32 = 0

Factor

(Alternately use the quadratic formula or complete the sqaure)

(x - 8)(x + 4)

x = {-4, 8}

-4 is extraneous because the integers must be positive

x = 8

x + 1 = 9

x + 2 = 10

8, 9, 10

Answer:

[tex]8,9,10[/tex]

Step-by-step explanation:

We can make this an equation and use the variable n to represent our numbers

[tex]n-1(smallest)[/tex]

[tex]n(middle)[/tex]

[tex]n+1(largest)[/tex]

[tex](n-1)\cdot (n+1)=6n+26[/tex]

[tex]n^2-1 = 6n+26[/tex]

[tex]n^2 - 6n - 27 = 0[/tex]

After we factorize we get

[tex]n=9[/tex]

since our smallest is [tex]n-1[/tex] so our smallest number is [tex]8[/tex] and largest is [tex]10[/tex]

brainliest please :)

Answer:

12 R20

Step-by-step explanation:

changed 41 to 40 and 533 to 500. work is in file above.

Answer:

[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]

Step-by-step explanation:

A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term.  This simply means that the sum of the two numbers before a term, are the term.

Hope it helps :) and let me knwo if you want me to elaborate.

Answer:

a is 28 and  b is 31

Step-by-step explanation:

i hoped this helped

Answer:-6- x = 24

Step-by-step explanation:

Answer:

7 - [tex]x^{2}[/tex]

Step-by-step explanation:

This is the answer because:

1. "Difference" means subtraction

2. The statement basically is saying, what is 7 subtracted by the square of x

3. That simplifies to 7-x^2

Hope this helps!

Hi there! (:

The difference of means we subtract:

7-f² (let the number be f)

Hope it helps!

~An excited gal

#StayJoyful

[tex]SparklingFlower[/tex]

Answer:

1580÷100×60

=948

60%=948

60-20

=40

1580÷100×40

=632

948-632

=316

The graph that models the relationship between the factory production and the time is the graph in option D

The number of bolts produced within four hours is 3200

The rate of production is the ratio of the change in the number of bolts produced to the the change in time

Change in the number of bolts produced, ∆y = 3200 bolts

Change in time, ∆t  =  4 hours

Rate of change = ∆y / ∆t

Rate of change = 3200/4

Rate of change = 800 bolts per hour

The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour

Learn more here: https://brainly.com/question/25553795

Answer:

10.25

Step-by-step explanation:

Using the pythagorean theorem

13^2 = 8^2 + (ML)^2

169 = 64 + (ML)^2

Subtract 64 from both sides

105 = (ML)^2

Take the square root of both sides

10.25 = ML

Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

Answer:

60

Step-by-step explanation:

I hope this helps

The diameter of the  cylinder is equal to 59.98 units.

Given the following data:

To determine the diameter of the  cylinder:

First of all, we would find the radius of the circular base of this cylinder.

Mathematically, the volume of a cylinder is given by the formula:

[tex]Volume = \pi r^2h[/tex]

Making r the subject of formula, we have:

[tex]r=\sqrt{\frac{V}{\pi h} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]r=\sqrt{\frac{33912}{3.142 \times 12} }\\\\r=\sqrt{899.43}[/tex]

Radius, r = 29.99 units.

For the diameter:

[tex]Diameter = 2 \times radius\\\\Diameter = 2 \times29.99[/tex]

Diameter = 59.98 units.

Read more: https://brainly.com/question/1908836

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

[tex]8+z=?[/tex] when z=5

[tex]8+5=13[/tex]

Answer:

A & C

Step-by-step explanation:

To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.

Let's begin solving!

65 ÷ 13  = 5

So now we know that A is one of our answers

65 ÷ 130 = 0.5

Not one of our answers because the quotient is not 5

650 ÷ 130 = 5

This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.

Hope this helps you :)

Answers are A and C.

6.5 ÷1.3 = 5

A. 65 ÷ 13 = 5 so yes

B. 65 ÷ 130 = .5 so no

C. 650 ÷ 130 = 5 so yes

D. 650 ÷ 13 = 50 so no

Answer:

the answer for this equation is -32

Answer:

x = 3, y= 5

Step-by-step explanation:

y = 2x - 1 -----(1)

y = 3x + 2 ----(2)

From (1)

2x - y = 1 ----(3)

From (2)

3x - y = -2 -----(4)

Solving (3) and (4) simultaneously

2x - y = 1

- 3x - y = -2

___________

x = 3

subst. x = 3 in (1)

2(3) - y = 1

6 - y = 1

y = 6-1

y = 5

Hence, x = 3, y = 5

Answer:

the question is incomplete

Answer: 234

Step-by-step explanation:

Answer:

I have no clue I'm trying to get my account set up

Answer:

Step-by-step explanation:

Answer:

c - 7.3 < 6

Step-by-step explanation:

c - 7.3 is less than 6

less than is the same as <

So c - 7.3 < 6

-Chetan K

Answer:

c - 7.3 < 6

Step-by-step explanation:

Answer:

2456≈2500

14725=14700 (to 3sf)

The metric unit of a quantity is simply the unit of measurement of the quantity

The volumes of the crashed tomato cans are 1184 milliliters and 1.184 liters

The volume of the crushed tomato can is given as:

[tex]\mathbf{Volume = 40oz}[/tex]

From the question, we have the following conversion ratio

[tex]\mathbf{1oz \approx 29.6mL}[/tex]

So, the volume in milliliters becomes

[tex]\mathbf{Volume = 40 \times 29.6mL}[/tex]

Multiply

[tex]\mathbf{Volume = 1184mL}[/tex]

To convert the unit to liters, we simply divide the volume by 1000.

So, we have:

[tex]\mathbf{Volume = 1184L \div 1000}[/tex]

[tex]\mathbf{Volume = 1.184L}[/tex]

Hence, the equivalent volumes are 1184 milliliters and 1.184 liters

Read more about metric units at:

https://brainly.com/question/2004114

Answer:

y=4/3x+19/3

Step-by-step explanation:

perpendicular = slope is the negative reciprical.

plug in the point (-4,1) for (x,y)

1(y)=4/3(-4)+b

1=-16/3+b

b=19/3

Answer:

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers

Step-by-step explanation:

The function that gives the surface area has the radius as a denominator.

Reasons:

The given parameter are;

The expression Clare finds is the surface area for a fixed volume in terms of the radius, r, is S(r)

The function is used to plot the graph

The values r are allowed to take (obtained from a similar question are) = -1, 2, and 3

The graph of a similar function representing the surface area is attached;

[tex]\displaystyle S(r) = \mathbf{2 \cdot \pi \cdot r^2 + \frac{2 \cdot \pi }{r}}[/tex]

From the graph, it is observed that there is a vertical asymptote at x = 0 (infinite discontinuity)

Therefore, Claire should use the a domain that gives a continuous graph,

given that r is a denominator of the function, by allowing the radius, r to

take on only natural number values (values larger than 0)

The domain is therefore; 0 < r < ∞

The values r can take should therefore be 0.1, 1, 2, and 3

Learn more about asymptotes here:

https://brainly.com/question/17257427

Answer:

The answer to the equation is 48.

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the value of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48