The ratio of the number of white shapes to the number of black shapes is 5:11
The ratio of the number of white circles to the number of white squares is 3:7
The ratio of the number of black circles to the number of black squares is 3:8
Work out what fraction of all the shapes are circles.

Answers

Answer 1

Answer:

the fractions of all the shapes are circles can be obtained would be computed as:  

                      [tex]\frac{450}{1600}=\frac{9}{32}[/tex]        

Step-by-step explanation:

The fraction of the number of white shapes to the number of black shapes is 5/11.

Let us consider that there are:

500 white shapes1100 black shapes

As the fraction of the number of white circles to the number of white squares is 3:7

It means out of 10 total parts, 3/10 are white circles and 7/10 are white squares.

Calculating Number of white circles:

                                                           [tex]\frac{3}{{10}} \times 500=150[/tex]

                                                           

Calculating Number of white squares:

                                                            [tex]\frac{7}{{10}} \times 500=350[/tex]

As the fraction of the number of black circles to the number of black squares is 3:8.

Calculating Number of black circles:

                                                            [tex]\frac{3}{{11}} \times 1100=300[/tex]

Calculating Number of black squares:

                                                            [tex]\frac{8}{{11}} \times 1100=800[/tex]

As

the total number of circles is 150 + 300 = 450, and the total number of shapes is 500 + 1100 = 1600

Therefore, the fractions of all the shapes are circles can be obtained would be computed as:

                            [tex]\frac{450}{1600}=\frac{9}{32}[/tex]                            


Related Questions

is 1/7 greater than -5? Or is it less than?

Answers

Answer: Greater than

Step-by-step explanation:

1/7, no matter how small, is a positive number, and a positive number is always greater than a negative number, as visualized on a number line.

I need help please and thank you

Answers

Answer:

c = 13

Step-by-step explanation:

2 ways of going about in this problem

1. If you have done enough Pythagorean theorem problems, you might be able to memorize some common right triangle side lengths, such as 3-4-5 or

5-12-13

2. actually using Pythagorean theorem

[tex]a^2+b^2=c^2[/tex], where c is hypotenuse

c = [tex]\sqrt{5^2+12^2}[/tex]

c = [tex]\sqrt{169}[/tex] = 13

Savannah drove 716 miles on Monday. She drove another 572 miles one Tuesday. About how many more miles did she drive on Monday than Tuesday?

Answers

Final answer:

Savannah drove 144 more miles on Monday than she did on Tuesday, calculated by subtracting Tuesday's mileage from Monday's.

Explanation:

The student is asking how many more miles Savannah drove on Monday than Tuesday. To calculate this, we simply subtract the number of miles driven on Tuesday from the number of miles driven on Monday.

Miles driven on Monday: 716 miles

Miles driven on Tuesday: 572 miles

To find the difference in miles, we use the following equation:

716 miles (Monday) - 572 miles (Tuesday) = 144 miles

Therefore, Savannah drove 144 more miles on Monday than on Tuesday.

Select the correct answer.

Which situation indicates that an Investor shouldn't sell his or her stocks?

A.

The price of the stock shows a negative trend, and the current stock price is lower than the Investor's purchase price.

B.

The price of the stock shows a negative trend, and the current stock price is higher than the Investor's purchase price.

C. The price of the stock shows a positive trend, and the current stock price is lower than the investor's purchase price.

D. The price of the stock shows a positive trend, and the current stock price is the same as the investor's purchase price.

Answers

Answer: C

Example:

Bob bought stocks in a local company for $10. Now the stocks are showing a positive trend. Joe comes in and offers bob $5 for the stock. Bob says no because that would provide no good for him considering he is gaining money because of the positive trend, and he would not earn any money for the stock because he bought it for $5 more then Joe offered him.

We can actually infer that the situation that indicates that an investor shouldn't sell his or her stocks is: C. The price of the stock shows a positive trend, and the current stock price is lower than the investor's purchase price.

Who is an investor?

An investor refers to an individual whose takes the responsibility of releasing capital to a venture or business with an expectation of getting financial returns in future.

We can then see here that option C gives us a clear example of a situation that indicates that an investor shouldn't sell his or her stocks.

Learn more about investor on https://brainly.com/question/25311149

#SPJ2

Solve -(6)^x-1 +5=(2/3)^2-x

Answers

Answer:

6^x=x+32/9

Step-by-step explanation:

A vegetable garden and a surrounding path are shaped like a square that together is 12 ft wide. The path is 1 foot wide. Find the total area of the vegetable garden and path.

Answers

Answer:

  144 square feet

Step-by-step explanation:

The 12-foot width apparently includes the garden and path, so the desired area is that of a 12-foot square:

  A = s² = (12 ft)² = 144 ft²

The area of the garden and path is 144 square feet.

A = {1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = {1, 5, 6, 7,9}
A U (B n C)= ?

Answers

Answer:

{1, 3, 5, 6, 7, 9}

Step-by-step explanation:

A u (B n C)

First we look at

(B n C)

n indicates intersects. Intersects means the common. The common number in B and C, we have

{6}

Now A u {6}

u means union. That is, joining both sets together, hence, we have

{1, 3, 5, 6, 7, 9}

A u (B n C} gives {1, 3, 5, 6, 7, 9}

Classify these numbers as rational or irrational

Answers

-4/5, 2.5, 0.4, √16 are rational and √2 is irrational.

Step-by-step explanation:

The rational number can be written in the form of fraction that can be simplified into a integer.The irrational number cannot be written in the form of fraction.

-4/5 is a rational number.

Reason: It is in the fraction form with -4 in the numerator and 5 in the denominator.  .

√2 is irrational.

Reason: since it cannot be written as a fraction.

2.5 is rational number.

Reason: It can be written in the form of fraction such as 5/2.

0.4 is represented with a bar above the 4 which means that 4 gets repeated. It is a rational number

Reason: because it an integer.

√16 is rational.

Reason: It can be simplified as +4 or -4 which are integers.

how to do inverse of functions

Answers

Answer:

Step-by-step explanation:

First, replace f(x) with y

Replace every x with a y and replace every y with an x .

Solve the equation from Step 2 for y .

Replace y with f−1(x) f − 1 ( x ) .

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Final answer:

To find the inverse of a function, you reverse the original operation, whether it's an exponential with its natural log, a square with a square root, or logarithms with their exponential counterpart. These inverses, like ln(e^x) = x, demonstrate how they 'undo' each other. The inverse log can be used to find the original number from its logarithm.

Explanation:

Understanding Inverse Functions

To find the inverse of a function, you essentially want to reverse the original operation. For example, an exponential function and its inverse, the natural logarithm (ln), undo each other. If you have an equation y = ex, taking the natural logarithm of both sides would give you ln(y) = x, which effectively isolates x. This demonstrates that ln(ex) = x and eln(x) = x, showing how these functions are inverses of each other.

Similarly, other function pairs such as sine and arcsine, or a power function and its corresponding root function, act as inverse operations. For instance, if you have a2 = c2 - b2, as in the Pythagorean Theorem, you would take the square root of both sides to find a. This 'undoes' the square, showing that (√()2) is the inverse function of squaring.

When it comes to logarithms, the process of finding an inverse is similar. If you take a logarithm of a number, you can find the original number by taking the inverse log or calculating 10to the power of the logarithm. If you have log10(x) = y, then 10y = x.

how can you get 3 1/2x alone on the left side of the equation 3 1/2 x + 215 = 495? what is the resulting equation?

Answers

Answer:3 1/2x = 280

Step-by-step explanation: Subtract 215 from both sides.

Answer:

subtract 215 from both sides

x = 80

Step-by-step explanation:

to get the 3 1/2 x alone subtract 215 from both sides.

this moves it to the other side.

495-215 =280

3 1/2 x = 280

divide both sides by 3 1/2

this will solve for x

x = 80

Use the distributive property to write and equivalent expression: 6(y+5)

Answers

Answer:

6y+30

Step-by-step explanation:

1) distributive property is basically multiplying the number outside of the parenthesis with each number/variable inside

so

6*y+6*5

6y+30

hope this helps

Answer:

6y+30

Step-by-step explanation:

(6*y)+(5*6)

Sheila went to the fair and spent a total of $40. She paid $16 for a ticket to the fair, and she played some games at the fair for $3 each. Which equation could be used to determine the number of games, x, Sheila played?

Answers

Answer
40 is greater than or equal to 16+3x

the pizza restaurant has a special offer today 3 pizzas for $25. the soccer team is ordering pizza. if each player eats 1/4 pizza, how many players will 3 pizzas serve?

Answers

Answer:

The 3 pizzas will serve 12 players

Cherie was building a fort with her friend jaylah . Cherie built a fort that was 181 inches tall and jaylah built a fort that was 62 inches taller than cheries fort. How tall was jaylah fort?

Answers

Height of Jaylah's fort =  243 inches

Step-by-step explanation:

Step 1:

Height of Cherie's fort = 181 inches

Height of Jaylah's fort = 62 inches taller than Cherie's fort

We need to find the actual height of Jaylah's fort

Step 2 :

Since we are given that Jaylah's fort is 62 inches taller than Cherie's fort the actual height of Jaylah's fort can be determined by adding the height of Jaylah's fort to that of Cherie's fort.

Hence

Height of Jaylah's fort = 181 + 62 = 243 inches

Step 3 :

Answer :

Height of Jaylah's fort =  243 inches

what value of a makes the equation true?
a+29=-63

I need help!!

Answers

Answer:

a = -92

Step-by-step explanation:

Step 1:  Subtract 29 from both sides

a + 29 = -63

a + 29 - 29 = -63 - 29

a = -92

Answer:  a = -92

Answer:

-92

Step-by-step explanation:

a + 29 = -63

  - 29  = -29

a = -63 - 29

a = -92

15% of 20 is ____ find the percentage of the number

Answers

The answer is 3, just do 20*0.15 (covert 15% into a decimal).

Answer:

3

Step-by-step explanation:

x              15

------  =   -----

20          100

20x5 is 100

What times 5 is 15? 3

What plus what equals 4 but multiplies to equal -5?

Answers

The only things that will multiply to equal -5 is -5x1 or 5x-1. Of those two you can figure out which one adds to 4. Check each one: -5+1=-4 or 5+-1=4 (don’t forget adding a negative sign is the same subtracting). So the answer must be 5 and -1 * please comment on this if you need help understanding how to add and multiply negatives

(ii) The value V of a Porsche 718 Cayman that is tyears old can be modeled by
V(t) = 420,000(0.965)
(a) What would be worth the car's worth in 2 years?
(b) I how may years will the car be worth $325,000?​

Answers

Answer:

Part A: What would be worth the car's worth in 2 years?

V(2) = $ 391,114.50

Part B. In how many years will the car be worth $325,000?​

t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

Step-by-step explanation:

Part A: What would be worth the car's worth in 2 years?

If V(t) = 420,000(0.965) ^t, therefore:

V(2) = 420,000(0.965)²

V(2) = 420,000 * 0.931225

V(2) = $ 391,114.50

Part B. In how many years will the car be worth $325,000?​

If V(t) = 420,000(0.965) ^t, therefore:

325,000 = 420,000(0.965) ^t

325,000/420,000 = (0.965) ^t

0.7738 = 0.965^t

t = log 0.965(0.7738)

t = log 0.7738/log 0.965

t = 7.2 years (rounding to the next tenth) or approximately 7 years, 2 months and 12 days

0.2 years = 0.2 * 12 = 2.4 months

Triangle ABC is similar to triangle YBX. Find the value of n. The figure is not drawn to scale.

Answers

Answer:

16

Step-by-step explanation:

Set up a proportion: 27/12=36/n

Solve algebraically: 27n=432

n=16

Therefore, 16

Find the area of this figure. Show your work or explain your logic.

Answers

Answer:500 units square

Step-by-step explanation:Area= length times width

The length is 20 the down arrows are 5+10+5=20 so that's the width

20 times 20=400

2 boxes on the sides are 5 times =50

400+50+50=500

Which shows two triangles that are congruent by the sss congruence theorem?

Answers

Answer: Triangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.

Step-by-step explanation:

Answer:

D is the correct answer if you have this pic in your question then its this one pls like if its right thanks

Step-by-step explanation:

Janets family wants to save for a four year college education for her. After some research they estimate that the total will cost about $78,000 how much should her family save if she is 12 years old in plans to go to college in 6 years?

Answers

Janet's family should save $13,000 per year for the next 6 years to achieve their goal of $78,000 for her college education.

To calculate this, we divide the total cost by the number of years until Janet starts college.

Total cost for a four-year college education: $78,000.

Number of years until college: 6 years.

Annual savings required: Total cost / Number of years

= $78,000 / 6 years

= $13,000 per year.

1) fifteen of 31 measurements are below 10cm and 12 measurements are above 11cm. Find the median if the other four measurements are 10.1, 10.4, 10.7 and 10.9cm.


2) the man and the median of a set of nine measurements are both 12. If seven of the measurements are 7, 9, 11, 13, 14, 17 and 19, find the other two measurements.

Pls show full working out ty ;)

Answers

Answer:

1) 10.1

2) 6 and 12

Step-by-step explanation:

1) median position: (31+1)/2 = 16th

15 are below 10, so 16th would be the first one to be greater than/equal to 10.

Which is 10.1

2) median = 12 of 9 values

So 5th value is 12

7,9,11,12,13,14,17,19 are the 8 values

To find the last measurement, use mean = 12

Mean = 12

Sum = 12×9 = 108

7+9+11+12+13+14+17+19+x = 108

102 + x = 108

x = 6

Final answer:

To determine the median of a data set with an odd number of measurements, find the middle value in the ordered list. In the first question, the median is 10.1cm. In the second question, the two missing measurements needed to maintain the given mean and median are 6 and 12.

Explanation:

To find the median of a given data set, one must first order the measurements from the smallest to the largest. Once the data are sorted, the median will be the middle value if there is an odd number of measurements. If there is an even number of measurements, the median will be the average of the two middle values.

We have 31 measurements with 15 being below 10cm and 12 above 11cm. The remaining four measurements are 10.1cm, 10.4cm, 10.7cm, and 10.9cm. Because there are 31 measurements (an odd number), the median will be the 16th value when sorted. The first 15 values are below 10cm, thus the 16th value is the first value above 10cm, which is 10.1cm. Therefore, the median is 10.1cm.

The mean and median of the data set are both 12. We are given seven of the measurements, and we need to find the remaining two that will keep the mean and the median at 12. To maintain the median at 12 for a set of nine measurements, the fifth datum must be 12. Among the given values, 13 is the smallest number that is bigger than 12, thus the two unknown values must be either less than or equal to 12 to not affect the median. To find these two unknown values we use the concept of mean, which is the sum of all the measurements divided by the number of measurements. Our equation to find the sum of the nine measurements is 7 + 9 + 11 + 13 + 14 + 17 + 19 + x + y = 9×12 (since the mean is 12). This simplifies to 90 + x + y = 108. Therefore, x + y = 18. Since we already have a 13 and we need a median of 12, one of the unknowns must be 12 to be the middle value and the other must be 6 to fulfill the equation x + y = 18. So the two unknown measurements are 6 and 12.

pls help!!
solve
question22

Answers

Answer:

19

Step-by-step explanation:

(x+2)/3 - (x+1)/5 = (x-3)/4 - 1

[5(x+2) - 3(x+1)]/15 = [(x-3) - 4]/4

(2x+7)/15 = (x-7)/4

4(2x+7) = 15(x-7)

8x+28 = 15x-105

7x = 133

x = 19

Hope this will help you......

what is equivalent to [tex](3^6)3[/tex]
A. 3^2
B 3^9
C 3^3
D 3^18
ILL GIVE ALL 20 POINTS

Answers

For this case we must indicate an expression equivalent to:

[tex](3 ^ 6) ^ 3[/tex]

For properties of powers we have to:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So, the above expression can be rewritten as:

[tex](3 ^ 6) ^ 3 = 3^{6*3} = 3^{18}[/tex]

Thus, the resulting expression is: [tex]3^{ 18}[/tex]

Answer:

[tex]3^{ 18}[/tex]

Option D

the table in the lesson shows the number of sets of twins, triplets, quadruplets, and quintuplets registered at a twin convention. write and evaluate an expression for the total number of people who registered at the convention.

Twins: 2697
Triplets: 29
Quadruplets: 2
Quintuplets: 1

Order of operations 1.3

Answers

Answer:

  5494

Step-by-step explanation:

Assuming all members of each set registered, the total number is ...

  2(2697) +3(29) +4(2) +5(1) = 5494

__

Since you're concerned with order of operations, perhaps you want to see the working out.

  = 5394 + 87 +8 +5 . . . . perform all the multiplications

  = 5481 +8 +5 . . . . . . . . . perform addition left to right

  = 5489 +5

  = 5494

Between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. Then by the time he went to bed, the temperature dropped by 14 degrees.
Write an addition expression for the temperature relative to when Iko woke up.


Answers

Answer:

[tex]T_t=x\textdegree-3\textdegree[/tex]

Step-by-step explanation:

let be temperature when he woke up. Given that the temperature rose  by 11° then later dropped by 14°. Also let [tex]T_t[/tex] be temperature at time t The temperature relative to time of waking up can be expressed as:

[tex]T_t=x\textdegree \pm \bigtriangleup T\textdegree\\\\T_t=x\textdegree + 11\textdegree -14\textdegree\\\\T_t=x\textdegree-3\textdegree[/tex]

Hence, temperature relative to time of waking up is expressed as

[tex]T_t=x\textdegree-3\textdegree[/tex]

The mixed number 6 7/8 is equal to which improper fraction?
A.) 55/8
B.)13/8
C.)48/8
D.)42/8

Answers

Answer:

A.) 55/8

Step-by-step explanation:

To make 6 7/8 an improper fraction, multiply the whole number by the denominator and add the result to the numerator.

That’s

6 x 8 = 48

48 + 7 = 55

Also, the denominator of the mixed number still remains the denominator of the improper fraction.

That’s

55/8

Final answer:

The mixed number 6 7/8 is equal to the improper fraction 55/8, making option A correct.

Explanation:

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. The mixed number 6 7/8 can be converted to an improper fraction by following this method: Multiply 6 (the whole number) by 8 (the denominator) to get 48, and then add 7 (the numerator) to get 55. Therefore, 6 7/8 as an improper fraction is 55/8, which makes option A correct.

Which statement is NOT TRUE about the two points (6, 9) and (6, −9) on a coordinate plane?
A) the -coordinates are the same
B) the -coordinates are the same
C) same distance from zero on the -axis
D) same distance but opposite sides of zero on the -axis

Answers

Answer:

The y-coordinates are the same

Step-by-step explanation:

i am testing to see how this works anyone can respond

Answers

Answer:

oh

Step-by-step explanation:

ok

the answer must be a correct answer

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