Madelyn made note of all the bicycles and cars she could see parked or locked on a certain city block. All the cars had exactly four wheels, and all the bicycles had exactly two wheels. How many vehicles were on the block if there were 12 bicycles and 4 cars? How many vehicles were on the block if there were x bicycles and y cars?

Given:

A metal is made from copper, zinc and lead in the ratio 13:6:1.

The mass of zinc is 90kg.

To find:

The mass of the metal.

Solution:

It is given that the metal is made from copper, zinc and lead in the ratio 13:6:1.

Let the mass of copper, zinc and lead are 13x, 6x and 1x respectively.

The mass of zinc is 90kg. So,

[tex]6x=90[/tex]

[tex]x=\dfrac{90}{6}[/tex]

[tex]x=15[/tex]

Now, total mass of the metal is:

[tex]Total=13x+6x+1x[/tex]

[tex]Total=20x[/tex]

[tex]Total=20(15)[/tex]

[tex]Total=300[/tex]

Therefore, the mass of the metal is 300kg.

Answer:

5.

Objective C

[tex]125x + 200 \geqslant 1200 \\ 125x \geqslant 1000 \\ x \geqslant 8[/tex]

7

[tex]x \: \alpha \: y \\ y = kx \\ 2.00 = k \times 8 \\ k = \frac{2.00}{8} \\ k = 0.25[/tex]

Answer:

(12,7) is not a solution

Step-by-step explanation:

Given

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Required

Point that is not a solution

We have:

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality

[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]

Collect like terms

[tex]\frac{2}{3}x - x \ge 5-6[/tex]

[tex]-\frac{1}{3}x \ge -1[/tex]

Solve for x (the inequality will change because we are to divide by a  negative number_

[tex]x \le -1/-\frac{1}{3}[/tex]

[tex]x \le 3[/tex]

Without solving further, we can conclude that the first option is not a solution.

Because (12,7) implies that [tex]x =12[/tex]

Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false

Answer:

Answer is the explanation!

Step-by-step explanation:

We know that x is the amount of seconds after the ball is dropped from the cliff and h is the height after that many x seconds.

So h(x) will represent the height of the ball after x seconds.

Meaning h(3) will reprensent the height after x seconds of being drooped.

We can simply replace x with 3 to find the height of it being dropped after 3 seconds.

Hoped this helped,

JoeLouis2

Answer:

Step-by-step explanation:

h(3) = -16(3)^2 + 200 = 56 (feet).  This is the height of the ball 3 seconds after having been dropped from a cliff, as measured upward from ground level.

Answer:

(b)

Step-by-step explanation:

The state that is valid is

"Every diameter of a circle is also a chord because a chord of a circle is any line segment joining two points on the circumference of the circle."

A diameter is a line that divides a circle into two halves, a diameter is also a chord

A chord is a line that connects points on a circle, a chord is not a diameter because it does not divide a circle into two equal halves

Learn more about circles here:

https://brainly.com/question/10458894

Answer:

P = 75*

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

-4,-1,2,5,8,11,14,17,20,23,26,29,32,35,38,41,44,47,50,53,56,59,62,65,68,71,74,77,80.

Step-by-step explanation:

the picnic table height is 0.5 because it's the constant

and the maximum height is 28

my answer is in the image above

Answer:

Step-by-step explanation:

A parallelogram is a family of quadrilateral which has its two opposite sides to be equal and parallel.

In the given parallelogram, the following proof can be deduced.

1. QS bisects RT: <RSQ ≅ <TQS                    Given

2. RV ≅ TV                                                      Definition of a bisector

3. <SRQ + < RQT = [tex]180^{o}[/tex]                                  Definition of supplementary angles

4. <RQS ≅ <QST                                             Definition of alternate angles

5. <RVT ≅ <QVT                                             Vertically opposite angles

6. <QRS ≅ <STQ                                             Opposite angles are congruent

7. QRST is a parallelogram                             Proofed

Answer:

6%

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

because -32 plus 12 is -20

hope that helps!!

Answer:

so to find the weight of this years model we do this

645*0.8=516

so the answer is 516

Hope This Helps!!!

Answer:

Step-by-step explanation:

50 - x² = 0

50 = x²

x² = 50

x = √50

[tex]x = \sqrt{2*5*5}\\\\x=5\sqrt{2}[/tex]

Answer:

[tex]50 - {x}^{2} = 0 \\ {x}^{2} = 50 \\ x = \sqrt{50} \\ x = 5 \sqrt{2} [/tex]

Answer:

173.2 cm²

Step-by-step explanation:

Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

Plug in the side length and solve:

A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²

A = [tex]\frac{\sqrt{3}}{4}[/tex](400)

A = 173.2

So, the area of the triangle is approximately 173.2 cm²

Answer:

x = 0.343

Step-by-step explanation:

We want to solve:

5 - 3tan(3x) = 0

such that:

-π< x < π

where π = 3.14

then:

-3.14 < x < 3.14

Let's solve the equation:

5 - 3tan(3x) = 0

-3tan(3x) = -5

tan(3x) = -5/-3 = 5/3

Now we can use the inverse tan function, Atan(x).

Remember that:

Atan( tan(x) ) = tan( Atan(x)) = x

Then if we apply that function to both sides, we get:

Atan( tan(3x)) = Atan(5/3)

3x = Atan(5/3)

x = Atan(5/3)/3 = 0.343

Answer: if you go to symbolab it will definitely help you and yes i know i did not help whatsoever but just try it if not im sorry

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

because x - (-3)

= x+3

and x + - 3

= x - 3

so they are not the same

hope this helps

Answer:

False

Step-by-step explanation:

If u minus you go the opposite direction

And you have negative 3

So you do the opposite direction of -3 which is +3

So x+3

Answer:

m=3

Step-by-step explanation:

add the m on the right side, 4m+3=15

subract the 3 on the left side, 4m=12

divide by four to isolate m, m=3

Answer:

[tex]3m+3=15-m[/tex]

[tex]3m+3=-m+15[/tex]

[tex]3m+m=15-3[/tex]

[tex]4m=12[/tex]

[tex]Divide\ both\ sides \ by\ 4[/tex]

[tex]\frac{4m}{4} =\frac{12}{4}[/tex]

[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]

Answer:

Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.

Answer:

shush its hard like my

Step-by-step explanation:

Answer:

slope = 1/2

y intercept = 2

slope intercept form = y = 1/2x + 2

Step-by-step explanation:

Answer:

Slope: 2

y-intercept: 2

Slope intercept form: y=2x+2

Step-by-step explanation:

Hope this helps!

Answer:

X ²

Step-by-step explanation:

if it helped you plz follow to get more helps

Answer:

1/√2

Approximate numerical value

1/√2 = 0.707106781186548

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

Rationalize the denominator

(1/√2) * (√2 / √2) = √2 / 2

Answer:

3, 0, -5, -6

Step-by-step explanation:

7)

when x= -8, f(x) = 8-5 or 3

when x= -5 f(x) = 5-5 or 0

when x= 0, f(x) = 0-5 or -5

when x=1, f(x) = -1-5 or -6

Answer:

1 has 1 solution

2 has one solution

3 has no solutions The lines are parallel

Answer:

D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]

Step-by-step explanation:

[tex]x^2+6x+7=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]

[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully

[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]

[tex]x=-3\pm\sqrt{2}[/tex]