Ramone scored on 14 of the shots he took in the basketball game last night. If this gave him a shooting percentage of 70% for the night, how many shots did he take in total?

Answer:

first number = 8

second number = -5

Step-by-step explanation:

Let

x = first number

y = second number

Two numbers have a difference of 13.

x - y = 13

The sum of twice one number and 3 times the other number is 1

2x + 3y = 1

x - y = 13 (1)

2x + 3y = 1. (2)

From (1)

x = 13 + y

Substitute into (2)

2x + 3y = 1.

2(13 + y) + 3y = 1

26 + 2y + 3y = 1

26 + 5y = 1

5y = 1 - 26

5y = -25

y = -25/5

y = -5

Substitute y = -5 into (1)

x - y = 13

x - (-5) = 13

x + 5 = 13

x = 13 - 5

x = 8

The obtained number is 12. And the system of equations is 2c + 4p = 40

Although each chicken has two legs and each pig has four legs, the total number of animal legs is:

2c + 4p = 40

Once we simplify the above equation, we get

c + 2p = 20

We also know that there are 16 animal heads in total, which can be expressed as:

c + p = 16

We can solve for "c" that use these two equations.

Once we multiply the second equation by 2, we get:

2c + 2p = 32

Once we subtract this equation from that, we get:

2p = 8

Once we solve for "p," we get:

p = 4

Substituting this "p" value into the second equation yields:

c + 4 = 16

Once we solve for "c," we get:

c = 12

As an outcome, your parents hold 12 chickens.

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Answer:

6

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

6

Step-by-step explanation:

Slope-intercept form is written y=mx+b.

y= always by itself (in slope-intercept form)

m= the slope (in this case, 6)

x= the letter that the slope is always next to

b= the y-intercept

Hope this helps you out and have a nice day ❤

Step-by-step explanation:

y = 5x - 3 is in slope-intercept form.

The slope of this given line is 5,

=> Parallel line will also have slope 5.

We have y = 5x + c, where c is a constant.

When x = 4, y = 7.

=> (7) = 5(4) + c, c = -13.

Therefore the answer is y = 5x - 13.

Answer:

m < 38

Step-by-step explanation:

122

20 +

142

180-

142

m < 38

Answer:

38 students are not in the art club while 12 student are in the art club.

Step-by-step explanation:

Percent I am not exactly sure, I'm sorry, still I hope this somehow helped!

Answer:

1.2

Step-by-step explanation:

Answer:

It will be 1.2

Step-by-step explanation:

Hope this Helped

Answer:

jhhhhh

Step-by-step explanation:

hgvjjjyy

f(x)=10x-4, f(12)= 116

The value of the function f(x) = 10x - 2 at f(12) is 114.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 10x - 4.

To find f(12) we have to replace x with 12 in the function f(x).

∴ f(12) = 10(12) - 4.

f(12) = 120 - 4.

f(12) = 114.

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Answer:

-4≤y≤7

Step-by-step explanation:

4y-3y≤7

y≤7

and

3y-5y≤8

-2y≤8

y≥-4

so, -4≤y≤7

9514 1404 393

Answer:

  -4 ≤ y ≤ 7

Step-by-step explanation:

Solve the inequalities separately, then identify the intersection of the solution sets.

4y -7 ≤ 3y

  y -7 ≤ 0 . . . . . . . subtract 3y

  y ≤ 7 . . . . . . . . . add 7

3y ≤ 5y +8

  0 ≤ 2y +8 . . . . . . subtract 3y

  -8 ≤ 2y . . . . . . . . . subtract 8

  -4 ≤ y . . . . . . . . . . divide by 2

The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...

  -4 ≤ y ≤ 7

Answer:

21.6

Step-by-step explanation:

If x=14.4

And BC= 36

36-14.4= y

21.6= y= DC

Answer:

Yes the ordered pair is a solution

Step-by-step explanation:

plug on the numbers

2< 2(-1) +8

2 < 6

4(2) > -4(-1)-6

8> 4-6

8> -2

Answer:

3x3= 9

9-3=6

3+3=6

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

x/6 = 16/48

48x = 6 . 16

48x = 96

x = 96/48

x = 2

Answer:

16.2

Step-by-step explanation:

Change the 45% into 0.45 and then multiply it by 36.

Answer:

No, she is not correct

Step-by-step explanation:

[tex]\frac{2}{5} \neq \frac{4}{6}[/tex]

[tex]\frac{2}{5} = \frac{4}{10}[/tex]

Answer:

Step-by-step explanation:

5) Diameter  of the circle = 2 * 11.5 = 23 in

6) Radius of the circle = 11.5 in

7) Circumference = πd = 3.142 * 23 = 72.26 in

8) Area = πr² = 3.142 * 11.5 *11.5 = 415.48 in²

Answer: 180

Step-by-step explanation:

When added together, Interior angles of a triangle are always equal to 180 degrees.

Answer:

∠FHG=120°

Step-by-step explanation:

first you calculate the angles of the triangle NGH

this is isoceles triangle, so there's 2 equal angles

and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same

so both are 20°

any triangle has a sum of 180° of interior angles

so 180-(H+G)=the angle below N

180-(20+20)=140°

the angle below N is same as N because they're vertically opposite

140 is an exterior angle

and the exterior angle is equal to the 2 far angles

140=40+∠FHN

140-40=100°

so ∠FHN=100°

∠FHN+∠NHG=∠FHG

100+20=120°

so ∠FHG=120°

Answer:

wdym

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

:-)

Answer:

Step-by-step explanation:

DC = AD

DC = 8.5

By the Parallelogram opposite sides theorem

Answer: 20 miles

Step-by-step explanation:

From the question, we are informed that Avis truck company charges $20 plus $2 per mile and that Budget truck company charges $3 per mile.

Let the number of miles that the charge will be the same for both companies be represented by x. This can then be used to form an equation as:

20 + 2x = (3 × x)

20 + 2x = 3x

3x - 2x = 20

x = 20

The charge will be thesame at 20 miles

Answer:

For 14 & tax: $14.84

For 16 & tax: $16.96

Step-by-step explanation:

14*0.06 = 0.84, 14 + 0.84 = 14.84

16*0.06 = 0.96, 16 + 0.96 = 16.96

Answer:

7

Step-by-step explanation:

35/10=3.5

3.5 x 2 =7

Answer:

Rotation 90 degrees counter clockwise, dilation of 6, translation down

Step-by-step explanation: