Question 1
If the diameter of a circle is 5 meters, what is the circle's radius, in meters?

Answer:

50:4

Step-by-step explanation:

Answer:

29. [tex]\frac{1}{3}[/tex]

30. a) 32

b) Yes, the ratio will change 1 : 2.

Step-by-step explanation:

Question 29.

Given that:

Number of gold medals won by France = 11

Number of silver medals won by France = 9

Number of bronze medals won by France = 13

To find:

The ratio of gold medals won to the total number of medals won by France.

Solution:

First of all, we need to find the total number of medals won by France.

Total number of medals won = 11 + 9 + 13 = 33

The required ratio can be found as:

[tex]\dfrac{\text{Number of gold medals won}}{\text{Total number of medals won}}\\\Rightarrow \dfrac{11}{33}\\\Rightarrow \bold{\dfrac{1}{3}}[/tex]

Question 30:

Number of girls = 20

Ratio of boys to Ratio of girls = 3 : 5

a. Total number of students in the class?

First of all, we need to find the number of boys in the class then we will add the value to the number of girls to get the answer.

Let the number of boys = [tex]x[/tex]

As per the ratio, we can write:

[tex]\dfrac{3}{5 } = \dfrac{x}{20}\\\Rightarrow x = 12[/tex]

Total number of students = 20 + 12 = 32

b. Four number of boys and four girls are moved to other class.

Number of boys left = 12 - 4 = 8

Number of girls left = 20 - 4 = 16

New ratio = 8 : 16 = 1 : 2

Therefore, the ratio got changed to 1 : 2.

Answer:

∠R = 106°

Step-by-step explanation:

Given that,

In ΔRST, ∠R = (6x + 10)°, ∠S = (2x + 5)°, and  ∠T = (3x – 11)°.

We need to find ∠R.

We know that, the sum of angles of a triangle is equal to 180°.

ATQ,

(6x + 10) + (2x + 5) + (3x – 11) = 180

Taking like terms,

6x+2x+3x = 180-10-5+11

11x = 176

x = 16

So,

∠R = (6x + 10) = 6(16) + 10

= 106°

Hence, ∠R = 106°

Answer:

The equation has one rational solution.

Step-by-step explanation:

You can automatically exclude nonreal and irrational solutions because the answer to this equation is a rational number. Once the equation is solved, you will find that there is only one answer.

Answer:

it might go like A= 12 B= 0 C = -6

Answer:

last one

hope it helps..

Answer:

(4, -1)

Step-by-step explanation:

(4, y) is a solution to x - 2y = 6.

Find the value of y:

[tex]4-2y=6\\\\4-4-2y=6-4\\\\-2y=2\\\\\frac{-2y=2}{-2}\\\\\boxed{y=-1}[/tex]

The value of y is '-1'.

(4, -1) is a solution to the equation.

Hope this helps.

Answer:

8

Step-by-step explanation:

MP=16

NP = 14

So that means N is farther to O by 2 units

So: 10-2 = 8

Answer:

the answer is 3.36 please mark brainliest

Step-by-step explanation:

Answer:

if

c=(1,8)

and

y=(-3x + 1)

then

y=(-3 x 1 + 1)

=( -3 +1)

= -2

Answer:

5/33

Step-by-step explanation:

Probability=10/66

P=5/33

Answer:

5/33

Step-by-step explanation:

Answer:

X = 13

1. Add 8 to both sides of the equation

5

Answer:

yes

Step-by-step explanation:

hdghbjfbfcuvf ug iifibibibibcrtctcitbiutbuhucihihtv

Answer:

Cost of four DVD= 36.7, but due to 25% discount it cost 27.57. Then add 7.75 taxes and he payed 29.71. Answer is 29.71

Step-by-step explanation:

Answer:

$27.71

Step-by-step explanation:

Price of 1 DVD: $9.19

Price of 4 DVDs: 4 * $9.19 = $36.76

Discount: 25%

Now we find 25% of $36.76.

25% of $36.76 =

= 0.25 * $36.76

= $9.19

The 25% discount amounts to $9.19. We now subtract $9.19 from $36.76 to find the discounted price.

$36.76 - $9.19 = $27.57

Now we need to apply the 7.75% tax to $27.57.

7.75% of $27.57 =

= 0.0775 * $27.57

= $2.14

The sales tax is $2.14.

Now we add the sales tax amount to the total discounted price.

$27.57 + $2.14 = $29.71

Answer: $27.71

Answer:

-270

Step-by-step explanation:

= 3^-3 × 10

= -27× 10

= -270

Answer:

the statement is false for any value of x

Step-by-step explanation:

Answer:

[tex] \boxed{ x < 0}[/tex]

Step-by-step explanation:

[tex]if \to : \\ 3(1 – 2x) > 3 – 6x \\ then \to : \\ 3(1 – 2x) > 3 – 6x = \\ 3 - 6x > 3 - 6x = \\ - 3 + 3 > - 6x + 6x \\ 0 > x( -6 + 6) \\ 0 > x(0) \\ x < \frac{0}{0} \\ \boxed{ x < 0}[/tex]

6.175=247/40 simplified is 6 7/40

Answer:

48 hours

Step-by-step explanation:

8 x 6 = 48

Answer:

she works 48 per week

Step-by-step explanation:

8*6=48

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first thing you ought to do is find out what you are trying to get. Desmos is an ideal program to do that if you don't have a graphing calculator. Just search for Desmos. It is pretty obvious once you get there.  I've enclosed the graph to show you what it looks like.

Notice what happens around 5.  The graph splits because effectively, you are dividing by 0 when you put 5 into the denominator. The question arises why doesn't the same thing happen at 0. It should: There is a discontinuity but it is very tiny. So the domain numbers that you should graph are

-1   0™  1   2   3   4   4.5    4.8   5.3    5.4  6 7

™I wouldn't make 0 a part of this domain.  But you can indicate with a dot where the graph goes.

I haven't filled in the range numbers. That's your job. All you have to do is fill in the table with points. Or you can put them on the graph that I have enclosed just to see where they points belong.

A graph is not to convey accuracy. It is to show the shape of function in question.

Answer:

D

Step-by-step explanation:

I think the intervals can pretty much be infinite.

Answer:

You start the shelf 4 ft. 9 in. from the wall.

Step-by-step explanation:

The game plan is to take the length of the shelf away from the length of the wall, and then divide the remaining part into two equal pieces.

13 ft.

-  3 ft. 6 in.

12 ft  12 in,

- 3ft    6 in

9 ft   6 in.

9 ft. 6 inches divided by 2 equals 4.5 ft, 3 in.

.5 ft * 12 inches = 6 inches

You start the shelf 4 ft. 9 in. from the wall.

The length from the corner for the edge of a 3ft 6in shelf for it to be centered on the wall is A = 4.75 feet = 4 feet 9 inches

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

To center a shelf on a 13-foot long wall, we need to find the midpoint of the wall, and then subtract half the length of the shelf to determine the position of the shelf's edge.

First, we need to convert 3 feet 6 inches to feet. There are 12 inches in a foot, so:

3 feet 6 inches = 3 + 6/12 = 3.5 feet

Now , the diagonal of the rectangular shelf is

The midpoint of the wall is half of 13 feet, which is:

13 / 2 = 6.5 feet

To find the distance from the corner to the edge of the shelf, we need to subtract half the length of the shelf from the midpoint of the wall:

6.5 feet - 1.75 feet = 4.75 feet

Hence , the shelf should be placed 4.75 feet from the corner to be centered on the 13-foot long wall.

To learn more about diagonal of a rectangle click :

https://brainly.com/question/13583275

#SPJ2

Step-by-step explanation:

3 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]       Original problem

When dividing fractions, you want to turn the mixed numbers into improper fractions so....

[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{2}{5}[/tex]      

Now you want to flip the second fraction ( so [tex]\frac{2}{5}[/tex] becomes [tex]\frac{5}{2}[/tex] ) and then you want to turn the division sign into a multiplication sign

[tex]\frac{15}{4}[/tex] × [tex]\frac{5}{2}[/tex]          

Now you multiply the numerators and multiply the denominators

[tex]\frac{15*5}{2*4}[/tex] = [tex]\frac{75}{8}[/tex]

Turn the improper fraction to a mixed number

75 divided by 8 is 9 with a remainder of 3 so your answer would be c. 9[tex]\frac{3}{8}[/tex]

The answer is c

I hope this helps!!!

Answer: Its an enlargement

Enlargement - Getting bigger

Reduction - getting smaller

Answer:

 add 2 subtract 2 add 8 multiply by 3 divide by 27

Answer:

B. and C. both equations has infinitely many solutions.

Step-by-step explanation:

In both the equations, value of y cannot be determined, so they have infinitely many solutions.

Answer:

1/2

Step-by-step explanation:

2x - 4y = 12

-4y = -2x + 12

-4y/-4 = -2x/-4 + 12/-4

y = 1/2x - 3