During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Explain how you found your answer.

Answers

Answer 1

Answer:

6 black pieces

10 red pieces

Step-by-step explanation:

The way to interpret ratios is like so:

Adding up both parts of the ratio gives 8, i.e. 3 + 5

So for every 8 pieces, 3 are black and 5 are red;

There are 16 pieces, which is 2 × 8;

So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red

So, to solve:

Add all parts of the ratio (3 + 5);

Divide the number of pieces (16) by this sum of ratio parts (8);

Multiply the value from the division (2) by each part of the ratio

Tip:

It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;

If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black


Related Questions

Sally is solving the linear equation 13 + 4x - 9 = 7x + 7 - 3x. Her final two steps are:
4 + 4x = 4x + 7
4 = 7
Select the statement that correctly interprets Sally's solution.
Lesson Link
1 The solution is x = 0.
2 The solution is the ordered pair (4,7).
3 There is no solution since 4 = 7 is a false statement.
4 There are infinitely many solutions since 4 = 7 is a false statement.
a
Enter the answer number!

Answers

Answer: C. there is no solution since 4=7 is a false statement



Step-by-step explanation:

Help is needed for both of these. Please and thank u!

Answers

Answer:

1. x = 15° | y = 120°2. x = 4.5 | y = 60°

Step-by-step explanation:

1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]

4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )

[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]

2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]

All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.

Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )

[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]

My question : here is related to Algebra 1 HELP

Answers

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

what is the cosine rule

Answers

Answer:

The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.

Step-by-step explanation:

hope it helps

Need help l don’t understand due soon

Answers

Answer:

x = 9

Step-by-step explanation:

44 = 2(3x-5)

2(3x-5) expanded is 6x -10

44= 6x -10

+10 to both sides

=

54 =6x

54 divide by 6 = 9

x = 9

please mark as brainlesit is correct.

Answer:

First solve the paranthesis, 2*3x and 2*5, from here we will get the new equation, 44= 6x-10, now you can change sides of the known values to simplfy the question, 44+10=6x -> 54=6x, now divide each side by 6 to find x, 9=x

Step-by-step explanation:

(2x-3)(x+5)-(x-6)(x+5)=0

Answers

X=-5,-3
That’s would be the answer
ITS POSSIBLE MAYBE I DEFINITELY DIDNT READ UR THING 7

Moussa is preheating his oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 15 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Temp after 15 minutes:
Temp after t minutes:

Answers

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the body length of the insect under the microscope?

160 centimeters

16 millimeters

1,600 millimeters

160 millimeters

Answers

I think it’s 160 centimeters I could be wrong tho

Answer:

don't take my answer its wrong doing it for points sorry

Step-by-step explanation:

What is the relationship between 0.04 and 0.004?

Answers

Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.

Answer:

Look below

Step-by-step explanation:

0.04 means 4 hundredths since if you divide 4 by 100 you get 0.04. You can try it yourself on a calculator. 0.004 is 4 thousandths. Same thing with 0.04, if you divide 4 by 1000 you will get 0.004. Hope this helps! If you want me to explain a bit more I can try

PLEASE HELP FAST

WILL MARK BRAINLIST

Answers

Answer:

1, (c) 2,(c) 3,(a)

Step-by-step explanation:

1, f (x) = 2-x and f(2) = 2-2

for example f(-4) = 2-(-2) = 0

=4

3, 120° - 60° = 60

find the value of x and y​

Answers

answer. X=50

as..

draw a imaginary line between M

let it one side be y and z

y+z=120

now,

y=70(being alternate angle)

y+z =120

so

z=120-70

z=50

as we know,

z is alternate to X

so ,X=50

Find the slope of the line that includes the ordered pairs.

Find the perpendicular slope of the given ordered pairs.​

Answers

a) the slope of the line: -5/11
b) the perpendicular slope of the line: 11/5

jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day

Answers

Answer:

0.8 km per day

Step-by-step explanation:

5 3/5 is the same as 5.6, so

5.6/7

= 0.8 km per day

If 60 boxes in a 10-by-10 grid are shaded, which fraction is equivalent?
A) 1/2
B)3/5
C)7/10
D)3/4

Answers

Answer:

B= 3/5

Step-by-step explanation:

If is wrong I'm sorry

The answer isssssssssssssaa B3/5

2x - 8 algebraic expression

Answers

Answer:

Because. I need to keep this balanced. I just bring down 2x I didn't do anything with him 8 minus 8 is 0 bring down my equal sign and 20 minus 8 is 12.

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Joyce's mother buys some shares of Company A on Day 0.
On Day 7, the share price of Company A is $4.60.
If she sells all her shares of Company A and A buys 2000 shares of Company B on Day 7, she would receive $7400.
On Day 12, the share price of Company A is $4.80 and the share price of Company B is $0.50 less than that on Day 7.
If she sells all her shares of Company A and buys 5000 shares of Company B on Day 12, she would have to pay $5800. Find
(i) the number of shares of Company A Joyce's mother has,
(ii) the share price of Company B on Day 12.

Please help aNd thank you!!!​

Answers

Answer:

(i) 4000

(ii) $5.00

Step-by-step explanation:

Let no. of shares of Company A be X

Let share price of Company B on Day 7 be $y

Share price of Company B on Day 12 = $(y-0.50)

(i)

Consider Day 7:

4.60x - 2000y = 7400................ (1)

Consider Day 12:

4.80x - 5000(y-0.50) = -5800

4.80x - 5000y + 2500 = -5800

4.80x - 5000y = -8300............... (2)

(1)*2.5:

11.5x - 5000y = 18500................. (3)

(3)-(2):

11.5x - 4.80x - 5000y + 5000y = 18500 + 8300

6.70x = 26800

x = 4000

(ii)

Sub. x = 4000 into (1):

4.60(4000) - 2000y = 7400

-2000y = 7400 - 18400

-2000y = -11000

y = 5.5

Share price of Company B on Day 12

= 5.50 - 0.50

= $5.00

A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2). Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags.
Does Standard Air have a higher population proportion of lost bags on international flights?
Calculate the appropriate p-value.
i. 0.0817
ii. 0.1634
iii. 0.8366
iv. 0.9183

Answers

you calculate it yb fwwy 0.1634

if z=3+i/3-i find the value of 1/z and z+1/z​

Answers

Ok done. Thank to me:>

Your favorite team jersey is on sale for $32 this is a 36% discount what was the original price of the jersey.

Answers

I had gotten 52.48

thats what I used to figure out the answer

(w-10x) (w+10x) Use the Identities to solve this question

Answers

We are provided that –

(w-10x) (w+10x)

Applying identity –

a² - b² = (a + b)(a - b)

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]

Two consecutive whole numbers is 57. What are the two numbers?(hint: Let n represent the first number. Then n + 1 is the next consecutive whole number.

Answers

Answer:   28 and 29

28+29 = 57

=======================================================

Explanation:

n = first number

n+1 = second number

Add up those two items and set the result equal to 57. Solve for n.

first+second = 57

(n) + (n+1) = 57

2n+1 = 57

2n = 57-1

2n = 56

n = 56/2

n = 28

n+1 = 28+1 = 29

The two consecutive whole numbers are 28 and 29

28+29 = 57

Answer:

28 and 29

Step-by-step explanation:

Given values:

1st number = n

2nd number = n+1

n + n + 1 = 57

2n + 1 = 57

2n = 56

n = 28

n+1 = 29

Answer: 28 and 29

what’s the correct answer?

Answers

Answer:

the triangle above is an isoceles triangle

therefore the base angles are equal

So we have:

X + X + 38= 180

2x = 180-38

2x = 142

X = 71°

Answer:

71

Step-by-step explanation:

The two line of length 21 defines that the base angles are equal.

so therefore.

38 degrees + x degrees + x degrees = 180

38 + 2x = 180

2x = 180 - 32

2x = 142

x = 71.

I hope this helps like it and comment if you have more questions or spotted a mistake . thanks

Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5

Answers

Answer:

  (d)  3/5

Step-by-step explanation:

The equation ...

  [tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]

can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.

  [tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]

_____

Additional comment

"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.

Hellooo, is this simple graphing or do I have to like solve something

Answers

Answer:

Just graph the points

Step-by-step explanation:

no need to solve anything

i need help with this like... now besties

if h(t) = 220 + 1.5x represents the height of a chair lift as a function of time where t is time (in seconds) and h is height (in feet). What would the ordered pair (12, 334) represent on the coordinate plane?

Answers

Step-by-step explanation:

it represents a point on the line defined by the function equation.

it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).

Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.

Answers

Answer:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0

16

x

2

+

16

y

2

16

x

+

24

y

3

=

0

Add

3

to both sides of the equation.

16

x

2

+

16

y

2

16

x

+

24

y

=

3

Divide both sides of the equation by

16

.

x

2

+

y

2

x

+

3

y

2

=

3

16

Complete the square for

x

2

x

.

Tap for more steps...

(

x

1

2

)

2

1

4

Substitute

(

x

1

2

)

2

1

4

for

x

2

x

in the equation

x

2

+

y

2

x

+

3

y

2

=

3

16

.

(

x

1

2

)

2

1

4

+

y

2

+

3

y

2

=

3

16

Move

1

4

to the right side of the equation by adding

1

4

to both sides.

(

x

1

2

)

2

+

y

2

+

3

y

2

=

3

16

+

1

4

Complete the square for

y

2

+

3

y

2

.

Tap for more steps...

(

y

+

3

4

)

2

9

16

Substitute

(

y

+

3

4

)

2

9

16

for

y

2

+

3

y

2

in the equation

x

2

+

y

2

x

+

3

y

2

=

3

16

.

(

x

1

2

)

2

+

(

y

+

3

4

)

2

9

16

=

3

16

+

1

4

Move

9

16

to the right side of the equation by adding

9

16

to both sides.

(

x

1

2

)

2

+

(

y

+

3

4

)

2

=

3

16

+

1

4

+

9

16

Simplify

3

16

+

1

4

+

9

16

.

Tap for more steps...

(

x

1

2

)

2

+

(

y

+

3

4

)

2

=

1

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

h

)

2

+

(

y

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

1

h

=

1

2

k

=

3

4

The center of the circle is found at

(

h

,

k

)

.

Center:

(

1

2

,

3

4

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

1

2

,

3

4

)

Radius:

1

image of graph

(ii) A retailer paid Rs 40000 for an article after receiving a discount of 20% the marked price from the manufacturer. He sold the article to the customer at a discount of 10% on the marked price. If the rate of CGST is 6% and the sales are intra state, the price paid by the consumer is

(a) Rs 53760
(b) Rs 50400
(c) Rs 47700
(d) Rs 50880

if the answer is correct with explanation will mark you as BRAINLIST​

Answers

Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700

what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5

Answers

Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.

A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?​

Answers

Answer:

8:10

Step-by-step explanation:

8 parts for brown sugar and 10 parts flour.

In simplest, 4:5 (divide 8 and 10 by 2)

2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?

Answers

Answer:

Answer:

28+66+86=180

180=180

Step-by-step explanation:

Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°

Write the equation

\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}

x+(2x+10)+(3x+2)=180

Simplify left side of the equation

\begin{gathered}6x+12=180\\\end{gathered}

6x+12=180

Solve equation for x

\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}

6x=180−12

6x=168

x=28

Replace x into the 3 angles and find their respectives values

\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}

A=x

A=28

B=2x+10

B=2∗28+10

B=56+10

B=66

C=3x+2

C=84+2

C=86

Check if the answers are correct

\begin{gathered}28+66+86=180\\180=180\end{gathered}

28+66+86=180

180=180

PLEASE MARK ME AS BRAINLIEST

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I used to go down and watch the sailors unloading the ships upon the river-wall. The sailors sang strange songs as they pulled upon the ropes; and I learned these songs by heart. And I would sit on the river-wall with my feet dangling over the water and sing with the men, pretending to myself that I too was a sailor.For I longed always to sail away with those brave ships when they turned their backs on Puddleby Church and went creeping down the river again, across the wide lonely marshes to the sea. I longed to go with them out into the world to seek my fortune in foreign landsAfrica, India, China and Peru! When they got round the bend in the river and the water was hidden from view, you could still see their huge brown sails towering over the roofs of the town, moving onward slowlylike some gentle giants that walked among the houses without noise. What strange things would they have seen, I wondered, when next they came back to anchor at Kingsbridge! 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Enter your selection in blank 3 using H, I, or J.For I longed always to sail away with those brave ships when they turned their backs on Puddleby Church and went creeping down the river again, across the wide lonely marshes to the sea.I longed to go with them out into the world to seek my fortune in foreign landsAfrica, India, China and Peru!And, dreaming of the lands I had never seen, I'd sit on there, watching till they were out of sight.Answer for Blank 1:Answer for Blank 2:Answer for Blank 3: