Abi has a bag containing black counters and white counters. The ratio of
black to white counters is 1:2. Abi takes one of these counters at random.
What is the probability that it is black?*

Answer:

2

Step-by-step explanation:

If triangles are similar (like shape ratios are exactly the same), then, 21 ÷ 3 = 7.  Now you know the ratio to apply.  So, side with the length of 14 s/b divided by that ratio of 7, that is, 14 ÷ 7 = 2

Answer:

its 70

Step-by-step explanation:

he angle subtended by an arc at the centre of a circle is twice the angle subtended by the same arc at any other point on the remaining part of the circle.

2∠ACB=∠AOB

∠AOB=2×35=70°

Answer:

k = 37/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-29 = 9 - 6k - 2k - 1

Step 2: Solve for k

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Here we see that -29 does indeed equal -29.

∴ k = 37/8 is the solution to the equation.

Answer:

56.4 is your answer

Correct me if I'm wrong.

Answer:

56.368

Step-by-step explanation:

Answer:

w = 2 + 8x

Step-by-step explanation:

this is the only equation where, after plugging in hours and wages, the values are correct

The equation where, after plugging in hours and wages, the values are correct would be; w = 2 + 8x

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given that John delivers newspapers every morning in his neighborhood.

John gets paid based on the number of hours x, that he works.

Thus the only equation where, after plugging in hours and wages, the values are correct would be;

w = 2 + 8x

Substituting x = 1

w = 2 + 8(1)

w = 10

Hence, this equation is correct.

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Answer:

your answer will be x=−16

Step-by-step explanation:

Simplify −2(−5x−10)+30

10x+50=−110

10x=−160

Divide each term by 10

and simplify.

x=−16

I hope this helps ^_^

Answer:

x = 7 √3 km

Step-by-step explanation:

Here, we want to get the value of x

As we can see, we have a right angled triangle with hypotenuse 14 km

we can use the Pythagoras’ theorem to get the value of x

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

14^2 = x^2 + 7^2

x^2 = 196-49

x^2 = 147

x = 7 √3 km

Answer:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Step-by-step explanation:

Marcos should paint 5/9 of the deck of a sailboat.

At the end of the day he painted 21/36.

Reducing this to the simplest form = 21/36

Dividing Numerator and Denominator by 3

= 7/12

Finding the difference between both fractions

= 7/12 - 5/9

The Lowest Common Denominator = 36

= 21 - 20/36

= 1/36

Therefore:

a) Have you managed to meet your goal?

Yes

b) Have you painted more? Have you painted less?

You have painted more.

Answer:

We must add 400 ml of water.

Step-by-step explanation:

We can use the following equation:

[tex]C_{i}V_{i}=C_{f}V_{f}[/tex]

Where:

Now, we just need to solve the equation for V(f).

[tex]V_{f}=\frac{C_{i}V_{i}}{C_{f}}[/tex]

[tex]V_{f}=\frac{80*150}{30}[/tex]

[tex]V_{f}=400\: ml[/tex]

Therefore, we must add 400 ml of water.

I hope it helps you!

Answer:

brainliest please

Step-by-step explanation:

116

Answer:

Original Equation: s + 3 1/2 = 8 1/2

Subtract 3/12 from both sides: s + 3 1/2 - 3 1/2 = 8 1/2 - 3 1/2

Simplify: s = 5

So, A is the correct answer.

Let me know if this helps!

Answer: 70 Degrees

Step-by-step explanation:

65+45=110

180-110=70 degrees

Answer:

definitely 145

Step-by-step explanation:

It is 145 degrees I hope this helps :)

Answer:

8t-3

Step-by-step explanation:

(t-1)-(-7t+2)

t-1+7t-2

t+7t-1-2

8t-1-2

8t-3

Answer:

Step-by-step explanation:

do your best job

Point of intersection of equations is (1 , 6)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Given equations

y = 3x + 3    ---------(1)

y = x + 5      ---------(2)

Subtracting equation 2 from equation 1.

y - y = 3x + 3 - (x + 5)

0 = 3x + 3 - x - 5

0 = 2x - 2

x = 1

Putting value of x in equation 2

y = 1 + 5

y = 6

Intersection point,

(x , y) = (1 , 6)

Hence, (1 , 6) is the point of intersection of given equations.

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Answer: 15 ft 9 in

Step-by-step explanation:

The division of fraction 9/14 by 15/2 in simplest form is 3/70 by dividing both the numerator and the denominator by the GCD

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 15/2 is 2/15. Therefore, we can rewrite the division as multiplication:

(9/14) * (2/15)

Next, we can multiply the numerators together and the denominators together:

(9 * 2) / (14 * 15)

Simplifying further, we get:

18 / 210

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 6 in this case. Dividing both the numerator and the denominator by the GCD, we get:

18 ÷ 6 / 210 ÷ 6

This simplifies to:

3 / 35

Therefore, the division of 9/14 by 15/2 in simplest form is 3/70.

In summary, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Then, we simplify the resulting fraction by finding the GCD of the numerator and the denominator and dividing both by the GCD. Applying these steps to the given fractions, we obtain the simplified form of 3/70.

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Answer:

x-4,y-3

Step-by-step explanation:

left = negative , down = negative

Answer:

M = -1/6

Step-by-step explanation:

Answer:

x = 24 , y = 10, z = 17

Step-by-step explanation:

Given

6x - 29 = 115

6x = 115 + 29

6x = 144

x = 144 / 6

x = 24

3y - 1 = 29

3y = 29 + 1

3y = 30

y = 30 / 3

y = 10

4z - 32 = 36

4z = 36 + 32

4z = 68

z = 68 / 4

z = 17

Hope it will help :)

Answer:

6 small cranes

Step-by-step explanation:

3x + 10 is less than or equal to 30

3 is the minutes for the small cranes

X is the amount of small cranes

10 is the minutes for the large crane

30 is the total time limit

first, subtract 10 from 30, which gives you 20 so

3x is less than or equal to 20.

to figure this out, divide 20 by 3, which gives you 6 with a remainder of two minutes.

Andre can make 6 small cranes.

Answer:

The first

Step-by-step explanation:

The difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.

The given polynomials

(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

The difference in the given polynomials is calculated as follows;

(-2x³y² + 4x²y³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

open the brackets;

-2x³y² + 4x²y³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵

add similar terms together;

- 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵

Thus, the difference of the given polynomials is - 6x⁴y - 2x³y² + 9x²y³ - 3xy⁴ + y⁵.

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Answer:

Find the Central Angle from the Arc Length and Radius

You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.

Step-by-step explanation:

answer: 12

Step-by-step explanation:

Step-by-step explanation:

LINE K is linear equation

y = mx + b

m = delta y/ delta x

= 6/3

= 2

b = y-intercept (at x = 0, y = 0)

y = 2x

question isn't clear but I believe you are asking for the area of triangle ABC given sides a, b, c

We use the example question:

Find the area (in square units) of the triangle described.

a = 49mm, b = 33mm, c = 18mm

Answer and explanation:

We apply Heron's formula to solve the area of a triangle given the sides of the triangle a, b, c

A= √s(s-a)(s-b)(s-c)

Where A = area of triangle in square units

s= semiperimeter(a+b+c/2) of a triangle

a, b, c= lengths of the sides of the triangle

Therefore area of triangle =√50(50-49)(50-33)(50-18)

= √27200

=164.92mm²

Answer:

30:48

Step-by-step explanation:

because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48

Answer:

$600

Step-by-step explanation:

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Answer:

BC=FE=5

BC=5

BA=DE=11

angle A= angle D=27

Answer:

in my words proportional means having equal portions lets say you cut a pizza into 4 separate pieces if you had 1 piece that was half and three pieces random that is not proportional but if you have 4 quarters that is proportional

Step-by-step explanation: