Omar has four times as many apples as bananas. He has 30 pieces of fruit in all. If a represents the number of apples and b represents the number of bananas, how many of each fruit does Omar have? Use the table to answer the question

Answer:

Between 3 P.M. and 3:30 P.M the hour hand moves 15°.

Step-by-step explanation:

The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle

One complete cycle of clock rotation = 360° = 12 hours

Therefore, the hour hand rotates 360/12 = 30° for each hour

Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour

The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour

∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°

Between 3 P.M. and 3:30 P.M the hour hand moves 15°.

Step-by-step explanation:

sides of 2 triangles are proportional

x/12=28/21

x=16

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

Explanation:

The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21

The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12

-------

Set the two fractions equal to each other and solve for x

28/21 = x/12

28*12 = 21*x .... cross multiply

336 = 21x

21x = 336

x = 336/21 .... divide both sides by 21

x = 16

Answer:

1.0 mL each day

Step-by-step explanation:

The required daily dosage of vitamin D is 10 micrograms.

The supplement contains 5 micrograms per 0.5mL.

The volume of supplement necessary to fulfill the daily requirements of vitamin D is:

[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]

She should administer 1.0 mL of the supplement each day.

Answer:

  311%

Step-by-step explanation:

The percentage change is calculated as ...

  percent change = ((new value) -(old value))/(old value) × 100%

Filling in the numbers, we have ...

  percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%

The global area increased by 311% over the interval.

Answer: b ~= 6.71

Answer with Steps:

tan(50) = 8/b

b = 8/tan(50)

b ~= 6.71

Step-by-step explanation:

The total amount of seat in the train is the total number of carriages multiplied by the number on each carriages = 32 × 15 = 480seats

A. number of trains needed for 350,000 passengers = 350,000/ 480 = 729 trains approximately

Answer:

like he said up their.

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Steps to solve:

4x + 1/3y^2 when x = 2 and y = 3

~Substitute

4(2) + 1/3(3)^2

~Simplify

8 + 1/3(9)

~Simplify

8 + 3

~Add

11

Best of Luck!

Answer: 0 0769

Step-by-step explanation:

Let x be the number of students that offer both subjects

15 - x + x + 13 - x + 9 = 26

-x + 37 = 26

-x = -11

x = 11

Number of student that offer english but not math = 13 - 11 = 2

The probability of english but not math = 2/26 = 0.0769

The probability that a student likes only Maths but not English is  2/13.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Let, N(U) = 25 the total number of students.

Similarly, N(M) = 15 and N(E) = 13.

9 students Maths or English.

So, The number of students like both subjects, N(M∩E) = 13 + 15 - 17.

N(M∩E) = 11.

N(E∩M') = N(M) - N(M∩E).   (only English)

N(E∩M') = 15 - 11.

N(E∩M') = 4.

Therefore, The probability that a student likes only English but not maths is,

= 4/26.

= 2/13.

learn more about probability here :

https://brainly.com/question/743546

#SPJ6

Answer:

d = 13.9965 in

Step-by-step explanation:

Area of a Circle Formula: A = πr²

diameter = 2r

Step 1: Plug in known variables

153.86 = πr²

Step 2: Solve for r

153.86/π = r²

r² = 48.9752

r = √48.9752

r = 6.99823

Step 3: Find d

d = 2(6.99823)

d = 13.9965

Answer:

Step-by-step explanation:

We khow that the area of a cercle is :

A= r²*π where r is the radius

A= 153.86 in²

so : r² = 153.86/π = 48.97 ≈ 49

then r = 7

so the diameter is 14 in

Answer:

C

Step-by-step explanation:

8 - |2g - 5|

= 8 - |-2 * (-3.5) - 5|

= 8 - |7 - 5|

= 8 - |2|

= 8 - 2 = 6

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.

In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

f(x) is the total number of bacteria, while x is the number of hours. We are given:

f(2)=12

2 is x (the input) and 12 is f(x) (the output).

Since x=2 and x=number of hours, 2 describes the number of hours.

Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.

Therefore, after 2 hours, the total number of bacteria present is 12.

Answer:

C

Step-by-step explanation:

First you find which line is which.

The one with 5x in it is the steepest one, and we have to be above it due to the >.

The one with 2x in it is the least steep, and we have to be below it due to the <.

Graph C satisfies both these restrictions.

Answer:

The correct option is;

The first twenty-five customers

Step-by-step explanation:

For the given data, by calculation, we have;

The population average = 11.45

The average of the first five customers = 13.2

The average of the first ten customers = 11.6

The average of the first twenty customers = 12.5

The average of the first twenty-five customers = 11.72

Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers

However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size

Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.

Answer:

(a) 6

(b) 14

Step-by-step explanation:

Answer:  (a) 6

               (b) 14

Step-by-step explanation:

Let a represent the unknown digit for Chinese --> 70 + a

Let b represent the unknown digit for Mathematics --> 80 + b

Total scores ÷ Total number of tests = Average

[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]

The two digits must add up to 14.

The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),

            Mathematics   -   Chinese  

(9, 5)          89              -         75       =      14       LARGEST Difference

(8, 6)          88              -         76       =      12

(7, 7)          87              -          77       =      10

(6, 8)          86              -         78       =       8

(5, 9)          85              -         79       =       6      SMALLEST Difference

Answer:

d.) 36

Step-by-step explanation:

f(x) = 4.[tex]3^{x}[/tex]

f(2) = 4 × 3² = 4 × 9 = 36

Answer:

575 boxes

Step-by-step explanation:

Let the total number of boxes = x

The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.

Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]

Since he needed to load 345 more boxes of tomatoes onto the truck.

[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]

The farmer had 575 boxes of tomatoes to load altogether.

Answer:

10 and 2.4

Step-by-step explanation:

100 is 10*10 so: [tex]\sqrt{100}[/tex] = 10

5.75 is a decimal number

[tex]\sqrt{5.75}[/tex] = 2.39≈ 2.4

Answer:

the answer is approximately 6.047

Hey there! :)

Answer:

x = -36.

Step-by-step explanation:

Starting with:

-1 = 5 + x/6

Begin by subtracting 5 from both sides:

-1 - 5 = 5 - 5 + x/6

-6 = x/6

Multiply both sides by 6:

-6 · 6 = x/6 · 6

-36 = x.

Answer:

x = -36

Step-by-step explanation:

- 1 = 5 + x/6

Subtract 5 on both sides.

-1 - 5 = x/6

-6 = x/6

Multiply both sides by 6.

-6 × 6 = x

-36 = x

Answer:

26sqrt(3)

Step-by-step explanation:

You end up with two 30-60-90 triangles.

26/2 = 13

2 * 13 * sqrt(3) = 26sqrt(3)

Answer:

5 power 3

Step-by-step explanation:

the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer

Answer:

5^3

Step-by-step explanation:

5x5^2= 25x5=125

Now that is equivalent to 5^3

5x5x5=125

→Answer:

7.431, 149/20, 7.46, 7 6/11

→Step-by-step explanation:

Well, first let's make all the numbers in decimal form.

7.5454 - 7 6/11

7.45 - 149/20

7.431

7.46

So, we can order them now.

7.431, 7.45, 7.46, 7.5454

Now we can put them back into their original status.

7.431, 149/20, 7.46, 7 6/11

____________________________________________________________

Answer:

$10.67

Step-by-step explanation:

Jennifer has a total amount of $80 to buy what she needs

1/5 of the money is spent on sandwich

= 1/5×80

= $16

The amount spent on sandwich is $16

1/6 of the money is spent on tickets to a museum

= 1/6×80

= 0.166×80

= $13.33

The amount spent on tickets is $13.33

1/2 of the money is spent on a book

= 1/2×80

= 0.5×80

= $40

The amount spent on a book is $40

Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend

= $80-$16+$13.33+$40

= $80-$69.33

= $10.67

Hence the amount of money left on Jennifer is $10.67

Answer:

Hey there!

There are a total of 20 children, and 2+6, or 8 are girls.

Thus the probability of choosing a girl is 8/20, or 2/5.

There are 2 left handed girls, so the probability is 2/20, or 1/10.

Hope this helps :)

Answer:

see below

Step-by-step explanation:

There are 2+6 = 8 girls

P( girl) = number of girls/ total  = 8/20 = 2/5

P( left handed girl) = number of left handed girls/ total  = 2/20 = 1/10

Answer:

Hope this helps you

Answer:

-2/9

Step-by-step explanation:

Answer:

the answer is C. - 2/9!!!!!!

Step-by-step explanation:

In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!

hope this helped!

Answer:  5.  P = (-4, 6)   R = (-4, -4)

               6. (a) a = 4, b = 3      (b) BC = 8     (c) B = (3, 4)

               7. (a) m = 4, n = 6     (b) PQ = (-2, 6)     (c) SR = (2, -6)

Step-by-step explanation:

5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.

   So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)

   --> P = (-4, 6)

    Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.

   So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)

   --> P = (-4, -4)

6. Follow the same steps as #5 (above) to get the following coordinates:

   A = (-3, 4)   B = (3, 4)

   D = (-3,-4)  C = (3, -4)

a) a = 4, b = 3

b) BC = 2(4) = 8

c) B = (3,4)

7. Follow the same steps as #5 (above) to get the following coordinates:

   P = (-4, 6)    Q = (0, 6)

   S = (0, -6)    R = (4, -6)

a) m = 4, n = 6

b) midpoint PQ = (-2, 6)

c) midpoint SR = (2, -6)

Answer:

30

Step-by-step explanation:

a^2 + b^2 = c^2

(8sqrt(3))^2 + b^2 = 16^2

64 * 3 + b^2 = 256

192 + b^2 = 256

b^2 = 64

b = 8

The ratio of the lengths of the sides of this triangle is

8 : 8sqrt(3) : 16

which reduces to

1 : sqrt(3) : 2

This is the ratio of the lengths of the sides of a 30-60-90 triangle.

m<W = 30 deg