At a basketball​ game, a team made 54 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 93 points in all. Write and solve a system of equations to find the number of each type of shot.

Answer:

Answer in explanation

Step-by-step explanation:

Probability of Magic elf =

[tex]p(elf) \times p(magic) \\ = \frac{1}{3} \times \frac{1}{5} \\ = \frac{1}{15} or \: 0.66667[/tex]

Answer:

6.66%

Step-by-step explanation:

There is a 1/3 chance of getting the character you want and 1/5 chance of getting the weapon you want. So the probability is 1/3*1/5=1/15 or 6.66%.

Step-by-step explanation:

given 47 + 10x = -10x + 7

[tex]47 + 10x = - 10x + 7 \\ 47 + 10x + 10x = 7 \\ 47 + 20x = 7 \\ 20x = 7 - 47 \\ 20x = - 40 \\ x = - 40 \div 20 \\ = - 2[/tex]

Answer:

.

Step-by-step explanation:

.

Answer:

[tex]4 \frac{1}{2} [/tex]

Step-by-step explanation:

Let's find the value of x first.

From the first sentence:

4x +13= 8

Subtract 13 from both sides:

4x= 8 -13

4x= -5

[tex]x = - \frac{5}{4} [/tex]

[tex]x = - 1 \frac{1}{4} [/tex]

2 times x is added to 7 → 2x +7

2x +7

[tex]= 2( - \frac{5}{4} ) + 7 [/tex]

[tex] = - \frac{5}{2} + 7[/tex]

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

Answer:234

Step-by-step explanation:

Answer:

Siiiiii

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x2+5x−10=x2+4

Step 1: Subtract x^2+4 from both sides.

2x2+5x−10−(x2+4)=x2+4−(x2+4)

x2+5x−14=0

For this equation: a=1, b=5, c=-14

1x2+5x+−14=0

Step 2: Use quadratic formula with a=1, b=5, c=-14.

x=

−b±√b2−4ac

2a

x=

−(5)±√(5)2−4(1)(−14)

2(1)

x=

−5±√81

2

x=2 or x=−7

Answer:

x=2 or x=−7

Answer:

x = 2 or x= -7

Step-by-step explanation:

We can use factorisation to solve this.

First, we shift all the variables to one side (see attachement)

Then, we need to find the value of x, which multiples to give -14 and adds together to give 5.

7 - 2 = 5

and 7 x (-2) = -14.

Now we factorize (group into brackets) to find the values of x.

We solve for x to find the final answer.

Answer:

108 student tickets, and 176 adult tickets  were sold

Step-by-step explanation:

Adult ticket $8  Call the number of adult tickets sold "a"

Student ticket $5  Call the number of student tickets sold "s"

Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284

Then we create two different equations with the information given:

a + s = 284

8 * a + 5 * s = 1948

we can solve for s in the first equation as follows: s = 284 - a

and use it in the second equation

8 a + 5 (284 - a) = 1948

8 a + 1420 - 5 a = 1948

combining

3 a = 528

a = 528/3

a = 176

we find the number of student tickets using this answer in the substitution equation we used:

s - 284 - 176 = 108

Therefore 108 student tickets, and 176 adult tickets were sold.

Answer:

28125

Step-by-step explanation:

The [tex]n[/tex]th term of your geometric sequence is [tex]9\cdot5^{n-1}[/tex]. This means that the 6th term is [tex]9\cdot5^{6-1}=28125[/tex].

Answer:

63mm

Step-by-step explanation:

7mm+8mm=15.

15×15=225

12×12=144(area equals base times height) add 225-144=81(here we are using the Pythagoras theory) so you search for the square root of 81 which is 9 meaning the height is 9. since we say area is 1/2base times height we should take 1/2 ×9×12=63.if the answer doesn't match with the answer in your book please tell me right away so that I can try another method thank you

Answer:

601 square inches

Step-by-step explanation:

We are to find the surface area of a cube

The surface area of a cube is = 6a²

Where a = side length

From the above question,

a = 9 inches

Hence,

Surface area = 6 × 9²

= 486 square inches

We are asked to include the surface area of the bow which is given as: 115 square inches

Total Surface Area of the cube(With the bow included) = (486 + 115)square inches

= 601 square inches

Answer:

601 square inches

Step-by-step explanation:

Other guy is right i'm just here to confirm since i had it on my test

Answer: 24,000 / 6,200 = x years

Step-by-step explanation:

The car is valued at $24,000.

Yearly payments are $6,200.

The year that it will be paid off can be dtermined by calculating how long it would take $6,200 to get to $24,000.

You can do that by dividing $24,000 by $6,200.

Assume the number of years for the car to be paid off is x:

24,000 / 6,200 = x years

When solved:

= 24,000 / 6,200

= 3.87 years

Answer:

$51.33

Step-by-step explanation:

Everything is off 65% so that means that $15.40 if 35% of the original price(100%-65%)

Set up Equation:

[tex]\frac{15.40}{x} = \frac{30}{100}[/tex]

Simplify:

[tex]\frac{15.40}{x} =\frac{3}{10}[/tex]

Multiply the first numerator by the last denominator and the first denominator by the last numerator

[tex]3x=154[/tex]

Divide 3 by both sides:

x= 51.33

Answer:

5x + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

its volume is h.r^2.ℼ

r = radius

h = height

5 x (5x5) x ℼ = 125ℼ

125ℼ is approximately 392.7  

Answer: third choice  A=6x^2-7x-3 inches squared

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

The fraction of students that went to the baseball game can be known by adding the fraction of students that went to the zoo and the aquarium and subtracting it from 1

Sum of the fraction of students that went to the zoo and the aquarium

= [tex]\frac{1}{4} + \frac{1}{8}[/tex]

  [tex]\frac{2 + 1 }{8}[/tex]

= [tex]\frac{3}{8}[/tex]

Fraction of students that went to the baseball game = 1 - [tex]\frac{3}{8}[/tex]

[tex]\frac{8}{8} - \frac{3}{8}[/tex] = [tex]\frac{5}{8}[/tex]

Answer:

Step-by-step explanation:

[tex]360 - 75 - 17x + 20 = 2(59)[/tex]

[tex]305 - 118 = 17x[/tex]

[tex]187 = 17x[/tex]

》

[tex]x = 11[/tex]

hope it helps...

have a great day!!

Answer:

x = 2

Step-by-step explanation:

4(5 - 2x) + 3 = 7

Distributive property ,    multiply (5-2x) by 4:

20 -8 x + 3 = 7

Combine like terms:

23 - 8x = 7

Inverse add and subtract:

23 - 7 - 8x + 8x = 7 - 7 + 8x

16 = 8x

Inverse divide:

16/8 = 8x/8

x = 2

Answer:

138

Step-by-step explanation:

Hope you have a wonderful day!

Answer:

Step-by-step explanation:

If they are parallel, that means the slope is the same. We can then use the slope point form: y - y1 = 1/2(x - x1) which is the form in the question as well.

Given that there is a point at (4,2), the equation of the line is then

y - 2 = 1/2(x-4)

Answer:

[tex]y=\frac{1}{2} x[/tex]

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula

[tex]y-y_{1} =m(x-x_{1} )[/tex]

to find the line parallel to

[tex]y-4=\frac{1}{2} (x+3)[/tex].

Answer:

Step-by-step explanation:

Given:

Computation:

d = 12 find 8d

8(12)

96

d = 5 find 75/d

75 / 5

15

p = 4 find 6p² + 8

6(4)² + 8

6(16) + 8

96 + 8

104

Answer:

I think it's $50.18 I'm not sure . hope that I helped you .

Answer:

50 km/hr

Step-by-step explanation:

OK, this is how I solved this problem.

Let r = original rate of speed

     t = time after the stop to finish the trip

Time for trip without stopping is 225/r

(1)     1.5 + .5 + t = 225/r      This is a time equation

(2)    1.5r + t(r + 10) = 225     This is a distance equation

(1)       2 + t = 225/r            (2)      1.5r + tr + 10t = 225

         2r + tr = 225

                tr = 225 - 2r                 1.5r + 225 - 2r + 10(225/r - 2) = 225

                t = 225/r - 2

                                                   -.5r + 225 + 2250/r - 20 = 225

                                                     -5r + 2250 + 22500/r - 200 = 2250

                                                     -5r^2 + 2250r + 22500 - 200r = 2250r

                                                       5r^2 + 200r - 22500 = 0

                                                       5(r^ + 40r - 4500) = 0

                                                           5(r - 50)(r + 90) = 0

                                                                 r = 50   or    r = -90

The rate cannot be negative, so the original speed 50 km/hr

This not an easy problem and I hope you were able to follow my work

Answer:50km hope that helped pls mark me brainliest :))