Graph the system below and write its solution.
-2x+y=-4
y=1/2x+2

Answer: 3.75, 5.5

Step-by-step explanation:

Answer:

11.304 kg/m³

Step-by-step explanation:

0.65cm radius

Volume is 1.15 cm³

.013/.00115

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:

Answers:

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

====================================================

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.

------------------

"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

-------------------

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

----------------------------------

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

----------------------------------

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:

37.77

Step-by-step explanation:

because 42-5.23=37.77

Answer:

39.5

Step-by-step explanation:

you have to add 34 and then add 5.5 to it and then you'll get 39.5

Answer:

Quotient Rule: x^-4, 10^-1

Repeated Multiplication: (x)(x)/(x)(x)(x)(x)(x)(x), 10x10x10x10/10x10x10x10x10x

Rewrite:1/x^4, 1/10^1

Step-by-step explanation:

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:

4.36

Step-by-step explanation:

6.54/1.5=4.36

Answer:

i graphed it for you in a calculator

Answer:

x = 47

Step-by-step explanation:

KY + YV = KV

KY + 22 = x

KY = x - 22

By angle bisector property:

[tex] \frac{TK}{TV} = \frac{KY}{YV} \\ \\\frac{87.5}{77} = \frac{x - 22}{22} \\ \\ x - 22 = \frac{87.5 \times 22}{77} \\ \\ x - 22 = \frac{1,925}{77} \\ \\ x - 22 = 25 \\ \\ x = 25 + 22 \\ \\ x = 47[/tex]

Answer:

Step-by-step explanation:

5 is in the hundreds place.

The answer should be 213500

Answer:

Step-by-step explanation:

"to the nearest hundreds" requires rounding off the hundreds place.  We get 213,500 because the 48 is less than 50, indicating rounding down.  

Answer:

9 minutes

Step-by-step explanation:

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:

g(3−2x)=12x2−36x+29

Step-by-step explanation:

Do you need step by step?

Answer:

a) 24[tex]ft^2[/tex]

b) 52ft

Step-by-step explanation:

a)

This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.

4 * 2 * 3

= 24

b)

This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.

2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )

= 2(8) + 2(12) + 2(6)

= 16 + 24 + 12

= 52

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 love that video

Step-by-step explanation:

it was so interesting

i love it

[tex]\huge{\mathfrak{\purple{Answer}}}[/tex]

The law of demand says that there is a relationship between how much consumers are willing to buy and Price of an object

[tex]\huge{\mathfrak{\purple{Explanation}}}[/tex]

#HopeItHelps

Answer:

The Ladder Reaches 15Ft Up The Wall

Step-by-step explanation:

Answer:

5969593829191937373

Step-by-step explanation:

Sister I gotcha b

Answer:

h>-21

Step-by-step explanation:

So, you solve it like an equation, so you do -7 divided by -1/3

which is

and since you divided it by a negative, you switch the sign.

Answer:

not yet di ko po maintindihan

Step-by-step explanation:

sana po magets nyo po

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:

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:

595

Step-by-step explanation:

So, the first step in solving this problem is finding the area of the base. To do this, we can split the triangle into halves, making two triangles with legs 5 and 7. Now, we just need to find the area for one triangle, and then multiply it by 2. The area of one triangle with legs 5 and 7 is 17.5, because (5*7)/2 is the formula for finding the area of the triangle. Now, we need to multiply the area of this triangle by 2 to get the area of the full triangle. 17.5*2 = 35, so the area of the base of the triangular prism is 35. Now, all we have to do is multiply the base by the height. Eventually, multiplying 35 * 17, we get 595.