At a basketball​ game, a team made 55 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 92 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer (assuming that the equation can be written in point-slope form):

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]

Step-by-step explanation:

Use the point-slope formula, [tex]y-y_1 = m (x-x_1)[/tex] , to write the equation of the line in point-slope form. Substitute values for the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex] represents the slope, substitute -5 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: [tex]-\frac{1}{2}[/tex]. So, substitute [tex]-\frac{1}{2}[/tex] for [tex]x_1[/tex] and 8 for [tex]y_1[/tex]. This gives the following answer and equation:

[tex]y-8 = -5(x+\frac{1}{2} )[/tex]    

Answer:

1) 85

2) 95

3) 75

4) 90

5) 120

6) 110

7) 65

8) 130

Answer:

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Step-by-step explanation:

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The woman will land on the east bank of the river at a downstream of 37.5 miles.

Relative velocity of an object in motion is defined as the velocity of the object with respect to another object.

Here,

Width of the river, W = 60 miles

Velocity of the boat in still water, Vb = 2 mph

Velocity of river, Vr = 5 mph

Relative velocity of the boat with respect to river in downstream,

Vbr = Vb + Vr

Vbr = 8 mph

Drift of the boat, d = Vr W/Vbr

d = 5 x 60/8

d = 37.5 miles downstream

Hence,

The woman will land on the east bank of the river at a downstream of 37.5 miles.

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Answer:

Equation: 2x+11=5

Solving the equation: x=22

Step-by-step explanation:

The sum of twice a number is 2x+

The sum of twice a number and 11 is 2x+11

The sum of twice a number and 11 is equal to 55 is 2x+11=55

Solving the equation: 2x+11-11=55-11

2x=44

2x/2=44/2

x=22

Answer:

its 4,000

Step-by-step explanation:

Answer:

y=9,49

Step-by-step explanation:

y=3,17×+6,32

y=9,49×

Answer:

45m

Step-by-step explanation:

1. Multiply the two sides.

2. Divide it by 3 (or multiply by 1/3)

3. The answer is your area.

Answer: 80 ways

Step-by-step explanation:

If 8 tee shirts can be worn in 8 ways  

similarly for 2 belts = 2 ways

five pair of jeans= 5 ways  

so total number of ways=5*2*8=80 ways

Answer:

(k - 4) ÷ 9

(k - 4) / 9

Step-by-step explanation:

k decreased by 4 = k - 4

quotient of k decreased by 4 and 9

= (k - 4) ÷ 9 (using division sign)

Or

= (k - 4) / 9 (as a fraction)

Answer:

x = 30

Step-by-step explanation:

since 2 sides are equal, that means their angles are also equal.

you do 180-120 to get 60 and then divide 60 by 2 to get 30

Answer:

x=30

Step-by-step explanation:

We know all the angles a triangle combined are 180 the two bottom angles for this one are equal so we can do

(180-120)/2=30

Answer:

x<-6

Step-by-step explanation:

Flip the sign on a negative

Answer:

x < -6

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

a

Answer: 4 4/10

Step-by-step explanation:

4 4/10 as an Improper fraction is 44/10, 32/10 is less then 44/10.

Answer: x=20

Step-by-step explanation:

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

Answer:

x = 20

Step-by-step explanation:

3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)

collect like terms

3x + 2x + 2x + 5° + 18° + 17° = 180°

7x + 40° = 180°

solving for x

x = (180 - 40)/7

x = 140/7

x = 20

90 x 120 = 10800

10800/2 = 5400

Answer:

Step-by-step explanation:

so this is the problem:

90x120=x/2

first, you can multiply 90 and 120 to get 10800.

then, your equation looks like this

10800=x/2

you can multiply both sides by 2

2(10800)=(x/2)(2)

then, you get this

21600=x

hope this helped!!!

Answer:

4 - 0.6 (Repeating) x = 0.75

Step-by-step explanation:

You divide the fractions by each other ex. 2 divided by 3

Answer:

[tex] 48 - 8x = 9[/tex]

Step-by-step explanation:

Multiply both sides by LCM. which is 12.

[tex]12(4 - \frac{2}{3} x) = \frac{3}{4} \times 12[/tex]

[tex]48 - 8x = 9[/tex]

Answer:

B

Step-by-step explanation:

sorry if its wrong

Answer:

I think your answer would be B.)

Step-by-step explanation:

srry if wrong hope this helps

Answer:

67/100

Step-by-step explanation:

basically just put 100 as denominator

Answer:

Step-by-step explanation:

Part A,

99% sure this is D

Part B

It's probably about 4 feet tall.

Part C,

4 in. x 12 in.

2 in. x 24 in.

8 in. x 6 in.

3 in. x 16 in.

Answer:

part A:   all the above

partt B:   48

part C:   4 in. x 12 in.

             2 in. x 24 in.

              8 in. x 6 in.

              3 in. x 16 in.

Step-by-step explanation:

Answer:

(4.75, 2.25)

Step-by-step explanation:

Given the coordinate (x,y). If this coordinate is reflected over the x axis, the resulting coordinate will be (x, -y)

Note that the y coordinate was negated.

Let the original point needed be (x, y)

If the new point is located at (4.75, -2.25)

Since the y coordinate was negated, then;

-y = -2.25

y = 2.25

x = 4,75 (x coordinate remains the same)

Hence the original point is (4.75, 2.25)

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

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Answer:

(72.5,87.5)

Step-by-step explanation:

The interval of times that represents the middle 99.7% of his finishing times in the 400 meter race is; (73.5, 87.5)

We are given;

Mean; E(X) = μ = 80 seconds

Standard Deviation; σ = 2.5

From the empirical rule, the probability of obtaining values within one deviation from the mean is 0.68; within two deviations is 0.95 and within 3 deviations from the mean is 0.997.

We have 99.7 % of the values within 3 deviations from the mean in our question and so the intervals are;

μ - 3σ = 80 - 3(2.5) = 73.5

μ + 3σ = 80 + 3(2.5) = 87.5

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Answer:

33+ 110x

Step-by-step explanation:

open the bracket.

hope it helps!!!

Answer: B)subtract 5

(x-5)^2-25

Step-by-step explanation:

2a=-10

Divide both sides by 2

2a/2=-10/2

Simplify

a=-5

Add and subtract

x^2-10x+(-5)^2-(-5)^2

Complete the square

(x-5)^2-(-5)^2

Simplify;

(x-5)^2-25

Answered by one other than the ONE & Only #QUEEN herself aka #DRIPPQUEENMO!!

HOPE THIS HELPED!!

Answer:

110

Step-by-step explanation:

really Gregg gift vg6

Answer:

The line segment that is a chord is AE.

Hope it helps :)❤

Answer:

Yes it does

Step-by-step explanation:

This table has a proportion of 4 since from the weeks and height are times by 4

Example from the table:

Week two has a height of 8 since 2 times 4 is 8

Answer:

Two were from companies who are major advertisers.

Step-by-step explanation:

Edmentum/ Plato family for the win.

Of the cameras tested, two were from companies that are major advertisers in the magazine.

Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.

Such elements might consist of, but are not limited to, the following:

Employment, professional associations, paid to consult, and participation in groups that support relevant causes.

Given that:-

She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera.

She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality.

Of the cameras tested, two were from companies that are major advertisers in the magazine.

The potential bias is In the cameras tested, two were from companies that are major advertisers in the magazine.

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Answer: 275 cm

volume = length x width x height

v = 6.25 x 8 x 5.5

v = 275

Answer:

y=  -5.6

Step-by-step explanation: