pre-algebra question help

Answers:

Each count above refers to the number of baskets made for the given player.

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Explanation:

For each player, let the following variables represent how many baskets were made

So for example, if D = 10, then this means Daniel made 10 baskets. Though for now, we're not sure what number replaces D or any given letter.

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"Daniel remembers that he made three times as many baskets as Ben" tells us that D = 3B is one equation

We know another equation is M = B+6 since Max made six more baskets than Ben

Another equation is C = T because these two students (Christion and Mitchell) made the same number of baskets.

We also know that T < B since Mitchell made fewer baskets compared to Ben.

Altogether the boys made 40 baskets total, so B+M+T+C+D = 40

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We have these five mathematical statements

Let's focus on the last equation

B+M+T+C+D = 40

B+M+T+C+3B = 40 .... plug in D = 3B

4B+M+T+C = 40

4B+M+T+T = 40 .... plug in C = T

4B+M+2T = 40

4B+B+6+2T = 40 .... plug in M = B+6

5B+6+2T = 40

5B+2T = 40-6

5B+2T = 34

Now let's solve for T

5B+2T = 34

2T = 34-5B

2T = -5B+34

T = (-5B+34)/2

T = (-5B)/2 + 34/2

T = -2.5B + 17

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We've eliminated everything but two variables at this point.

Let's say that x replaced B and y replaces T

We get the equation y = -2.5x + 17

If you graph this equation along with y = x, you'll find that the two equations intersect at roughly (4.857, 4.857)

Since we want T < B, this means we want y < x to be the case. The line y = -2.5x+17 goes downhill as we move from left to right. If x is smaller than 4.857, then x >= y. Otherwise, if x is larger than 4.857, then y < x

Furthermore, looking at a table of values for this equation shows that only (x,y) = (6,2) is a point on y = -2.5x+17 such that both x and y are positive and x is the larger value, and they are both integer coordinates.

All of this means that when B = 6, this pairs with T = 2. No other number pair is possible for these two students.

We then use this to find the other player's basket count

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So we have the following results

As a check,

B+M+T+C+D = 6+12+2+2+18 = 40

which confirms our answers.

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent baskets made by Ben and Mitchell, respectively. Then Daniel made 3x baskets, Max made (x+6) baskets, and Christion made y baskets. The total number is ...

  x + 3x +(x+6) +y +y = 40

  5x +2y = 34 . . . . . . . . . . . subtract 6

The other constraint on the solution is ...

  y < x . . . . . . . . . Mitchell made fewer baskets than Ben

__

We can see that 34 differs from a multiple of 5 by an even number, so (by inspection) we determine that (x, y) = (6, 2) is a solution to the equation. (It is also a solution to the inequality.)

Other possible solutions will require y increase by 5 as x decreases by 2, so those are ...

  (x, y) = {(6, 2), (4, 7), (2, 12), (0, 17)}

The only (x, y) pair that satisfies the inequality is the first one: (x, y) = (6, 2). Hence the numbers of baskets are ...

Answer:

F/m=a

Step-by-step explanation:

Answer:

i love that video

Step-by-step explanation:

it was so interesting

i love it

The equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle).

It is given that:

The center of the circle is (0, 0) or the origin.

The radius of the circles is given.

As we know, the standard equation for the circle is:

(x - h)² + (y - k)² = r²

Here (h, k) is the center and r is the radius of the circle.

a) Centre origin, radius 3/2

Plug h = 0, k = 0, and r = 3/2

x² + y² = (3/2)²

x² + y² = 9/4

Similarly,

b) Centre origin, radius 0.5

x² + y² = 0.25

c) Centre origin, radius √3

x² + y² = 3

Thus, the equation for the circle is x² + y² = 9/4 if the Centre origin, radius 3/2, and for the Centre origin, radius 0.5 is x² + y² = 0.25.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Answer:

A and D

Step-by-step explanation:

A.

2(10)=20

2(24)=48

20+48

D.

4(5)=20

4(12)=48

20+48

i hope this helps!

Answer:

3576 ÷by 38= 94

Step-by-step explanation:

I think this ans may help you

Answer:

The answer is 94.1052631579

Step-by-step explanation:

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115

Answer:

The Ladder Reaches 15Ft Up The Wall

Step-by-step explanation:

Answer:

r=d/2=18/2=9cm

area of the semicircle=1/2 (πr²)=1/2 (3.14×9²)=127.17cm²

Answer:

K = - 4

Step-by-step explanation:

And i don't have a paper now so I cann't to complet the table sorry

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C, from the equation y=mx+c

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

Answer:

Surface area: 92 cm2

Volume: 60 cm3

Step-by-step explanation:

Hope this helps and tell me in the comments if it is correct or not.

Answer:

-11

Step-by-step explanation:

plz mark as brainliest.

Answer:

-11

Step-by-step explanation:

the absolute value of 33 is 33, and the absolute value of 3 is 3, but the negative sign is outside of the absolute value bars, so the answer is negative. the simpler equation shouldlook like this

33÷-3=___

and 33÷-3= -11

Answer:

q = [tex]-\frac{17}{5}[/tex]   or -3.4

Step-by-step explanation:

Answer:

Graph of equations provided in the attached image.

Step-by-step explanation:

Answer:

189.3 square inches, 55.7 inches

Step-by-step explanation:

Area = area of rectangle + area of semicircle

area of rectange = 10 * 15 = 150 square inches

radius of semicircle = 10/2 = 5

area of circle = (pi * 5^2)/2 = 12.5pi square inches

total area = 150 + 12.5pi = 189.3 square inches

total perimeter = perimeter of rectangle - left side + perimeter of semicircle

perimeter of rectangle = 10 + 15 + 15 = 40 inches

perimeter of semicircle = 10pi/2 = 5pi inches

total perimeter = 40 + 5pi = 55.7 inches

Answer:

g(3−2x)=12x2−36x+29

Step-by-step explanation:

Do you need step by step?

Answer: 3.75, 5.5

Step-by-step explanation:

Answer:

y + 3x = 64

y - 3x = 32

(8,40) is the solution to the system

(Basically A & D)

Step-by-step explanation:

1 large + 3 small = 64 y+3x=64

1 large - 1 small = 32 y-x=32

(12,10) cannot be a solution because the small box (x) holds more than the large box (y).

Substitute (8,40): 40 + 3(8) = 64 and 40 - 8 =32

Answer:

i graphed it for you in a calculator

Answer:

8/2

Step-by-step explanation:

Answer:

8/2 will be your first answer but then you simplify to get the answer of 4

Answer:

500+500=1,000

Step-by-step explanation:

I hope this helps!

Answer: A

Step-by-step explanation: both triangle have a congruent side, angle, and second side

Answer:

a,c,e

Step-by-step explanation:

yes