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

I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?

Answers

Yeah sure I’d love to help do you have a picture that I can? Also love your pfp lol

Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?

Answers

Answer:

$1.90

10xx+25yy cents

Step-by-step explanation:

9 dimes (10 cents each) = 90 cents = 0.9 dollars

4 quarters (25 cents each) = 100 cents = 1 dollar

Making $1.90

xx dimes (10 cents each) = 10xx cents

yy quarters (25 cents each) = 25yy cents

Making 10xx+25yy cents in total I believe..

Hope this helps :)

Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.

Answers

Answer:She will have:

N = 200 smaller lots

Step-by-step explanation: N = (total acres of land) / (smaller lots of land)

Substituting the values we have:

N = 10 / (1/20)

Rewriting we have:

N = 10 * 20

N = 200 lots

Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?

Answers

Answer:

he is incorrect

Step-by-step explanation:

it's wrong because it doesn't make sense

Find f(-2) if f(x)= x^2 + 8x

Answers

Answer:

f(-2) = -12

Step-by-step explanation:

f(x)= x² + 8x

We want to find f(-2)

f(-2) = (-2)² + 8(-2)

Apply exponent : (-2)² = 4

f(-2) = 4 + 8(-2)

multiply 8 and - 2 : 8 * -2 = -16

f(-2) = 4 - 16

subtract 16 from 4 : 4 - 16 = -12

f(-2) = -12

Step-by-step explanation:

f(x) = x² + 8x

f(-2) = (-2)² + 8(-2) = 4 - 16 = -12

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?
F.7.5p > 50
G.50p≤7.50
H.7.5p < 50
J.p + 7.5 < 50

Answers

Answer    g

Step-by-step explanation:

g

Answer:

don't know i tell true

Step-by-step explanation:

) f) 1 + cot²a = cosec²a​

Answers

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).

[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]

csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.

[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]

Another identity is:

[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]

Therefore:

[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]

Another identity:

[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]

Therefore:

[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]

Hence proved, this is proof by using identity helping to find the specific identity.

There are 25 rows of 18 stckers on a sheet. How many stickers are there on a sheet. How many on 40 sheets?

Answers

There are 450 stickers on the sheet

And 18000 on 40 sheets

You rent an apartment that costs
$
800
$800 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).

Answers

Answer:

2,309.2

This could be wrong but I'm pretty sure it's right

What is the length of DE?
А. 8
В. 7
С. 6
D. 5

Answers

I think your best shot is 6

hlo preparation for exam help with this question?? °_*!
If p/q=q/r then prove that
p3+q3+r3=(1/p3+1/q3+1/r3)p2q2r2 ​

Answers

Hope you could get an idea from here.

Doubt clarification - use comment section.

The equation [tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex] has been proved to be true

The equation is given as:

[tex]\frac pq = \frac qr[/tex]

Cross multiply

[tex]pr = q^2[/tex]

Rewrite as:

[tex]q^2 = pr[/tex]

Also, we have:

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^2q^2r^2[/tex]

Substitute [tex]q^2 = pr[/tex]

[tex]p^3+q^3+r^3=(\frac{1}{p^3}+\frac{1}{q^3}+\frac{1}{r^3})p^3r^3[/tex]

Expand

[tex]p^3+q^3+r^3=\frac{1}{p^3} \times p^3r^3 +\frac{1}{q^3} \times p^3r^3 +\frac{1}{r^3} \times p^3r^3[/tex]

Simplify

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times p^3r^3 + p^3[/tex]

Rewrite as:

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (pr)^3 + p^3[/tex]

Substitute [tex]pr = q^2[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times (q^2)^3 + p^3[/tex]

[tex]p3+q3+r3=r^3 +\frac{1}{q^3} \times q^6 + p^3[/tex]

Divide q^6 by q^3

[tex]p3+q3+r3=r^3 +q^3 + p^3[/tex]

Rewrite the equation as:

[tex]p3+q3+r3=p^3 +q^3 + r^3[/tex]

Hence, the equation has been proved

Read more about equations at:

https://brainly.com/question/13729904

Evaluate the expression for u = -15.
-2(-12 – u) =

Answers

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

u = -15

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6

Solve the equation
6.4g + 8= 1.4g + 38
Find the Value of G
Explain how you can check that the value you found for g is correct. If your check does not​ work, does that mean that your result is​ incorrect? Explain.

Answers

Answer:

g=6

Step-by-step explanation:

6.4×6-1.4×6=

38.4-8.4=30

its true if it is not the result is incorrect

what is the greatest common factor for 228/252​

Answers

Answer:

i got 47/88

Step-by-step explanation:

Divide each number by two

Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020

Answers

Answer:

Step-by-step explanation:         The four numbers:  - 34, -0.4, 0.4, 3.4

so if you look at it it  The answer is -34

Answer:

-34

Step-by-step explanation:

this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers

Which of the following is the best definition of vertical angles?

Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.

Answers

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

Hey! Please help me ASAP

Answers

Answer:

-d+3.5≥4

Step-by-step explanation:

Just ask.

Hope this helps! :)

Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A

Answers

we have: ∠A + ∠B = 90°

<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°

<=> 5x + 20 = 90°

<=> 5x = 70°

<=> x = 14°

So: ∠A = 2x - 14 = 2.14 - 14 = 14°

Ok done. Thank to me :>

Sara needs to buy juice for the picnic. She selects a case of 24 cans of juice that costs a total of $8.00. What is the cost per can?

Answers

Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

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

1- Which comparison is NOT true?
A
3.976 > 3.97
B
1.025 < 1.25
С
9.145 > 9.14
D
0.613 > 0.631

Answers

Answer:

D

Step-by-step explanation:

Process of Elimination:

A: 3.976 is greater than 3.97

B: 1.025 is lesser than 1.25

C: 9.145 is greater than 9.14

All of the options checked are true, leaving the answer only to be D.

How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?

Answers

Answer:

You would be able to afford 9 gallons of gas.

Step-by-step explanation:

34.83 divided by 3.87 is 9. Have a nice day!

Solve for X and Y thank u!

Answers

Answer:

I did most of the work 4 u :3

Step-by-step explanation:

Just do the last question

HOPE THIS HELPED :DDDDDDD

a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate

Answers

Answer:

By:Parrain

Step-by-step explanation:

The probability that the selected tile will be green is 0.5.

The probability that a tile will be green can be calculated by the formula:

= Number of green tiles / Total number of tiles

Total number of tiles is:

= 3 + 6 + 3

= 12 tiles

Probability of picking green tile is therefore:

= 6 / 12

= 50%

= 0.50

The probability of picking a green tile is 0.50

In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576​

Answers

Answer:

C

Step-by-step explanation:

A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?

B. In two or more complete sentences, justify your answer to A.

Answers

Answer:

Step-by-step explanation:

3(m-2)+2(m-2)

3m-6+2m-4

3m+2m-6-4

5m-6-4

5m-10

The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.

After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.

Pls answer these questions

Answers

Answer:

I believe the answers are

B) 1

D) $1,000

Step-by-step explanation:

Either b or d
Explanation

Will give brainliest!

Answers

Answer:

- 1/4

Step-by-step explanation:

Where you see X, substitute with 1/3

Solve the power/exponent first:

6(1/3) = 2

That is ; - 4(1/4)^2

Solve the parenthesis:

(1/4)^2 = 1/16

-4(1/16)

= - 1/4

Order the expressions by choosing >,

Answers

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

5. What are the solutions to the equation (x - 1)(x + 2) = -2?

Answers

I hope this helps. Comment if any doubt.

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