13(9−6m)+14(12m−8)
Find the sum

Step-by-step explanation:

To compare the two amounts of fabric, we need to express them with a common denominator:

15/2 = 30/4

7 1/2 = 15/2

Now we can compare the two amounts:

30/4 > 15/2

This is true because 30/4 is equal to 7.5 yards, which is greater than 7.5 yards (or 15/2 yards) of silver fabric.

Therefore, Ms. Thompson needs more red fabric than silver fabric.

3n=n-2

3n-n=2

2n=2

n=1

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Answer:

24

Step-by-step explanation:

(-2)(4)= -8

(-8)(-3) = 24

Answer:

See below.

Step-by-step explanation:

1) Piece lengths are:

=> 4 cm

=> 8 cm

=> 16 cm

2) Meters of curtain in bundles are :

=> 120 m

=> 300 m

=> 420 m

\(\bold{\huge{\underline{ Solution 1 }}}\)

Let the given ratios be 1x, 2x and 4x

According to the question,

\(\sf{ x + 2x + 4x = 28}\)

\(\sf{ 7x = 28}\)

\(\sf{ x = }{\sf{\dfrac{28}{7}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{28}{7}}}}\)

\(\bold{ x = 4}\)

Thus, The value of x is 4

Length of first piece = 4 cm

Length of second piece

\(\sf{ = 2}{\sf{\times{4}}}\)

\(\bold{ = 8\: cm }\)

Length of third piece

\(\sf{ = 4}{\sf{\times{4}}}\)

\(\bold{ = 16 \:cm }\)

Hence, The length of each piece of board is 4 cm , 8cm and 16cm .

\(\bold{\huge{\underline{ Solution 2 }}}\)

Let the given ratios be 2x, 5x and 7x

According to the question,

\(\sf{ 2x + 5x + 7x = 840}\)

\(\sf{ 14x = 840}\)

\(\sf{ x = }{\sf{\dfrac{840}{14}}}\)

\(\sf{ x = }{\sf{\cancel{\dfrac{840}{14}}}}\)

\(\bold{ x = 60}\)

Thus, The value of x is 60

Length of the first bundle of curtains

\(\sf{ = 2}{\sf{\times{60}}}\)

\(\bold{ = 120\: m }\)

Length of the second bundle of curtains

\(\sf{ = 5}{\sf{\times{60}}}\)

\(\bold{ = 300\ : m }\)

Length of the third bundle of curtains

\(\sf{ = 7 }{\sf{\times{60}}}\)

\(\bold{ = 420\: m }\)

Hence, The length of each bundle of curtains is 120m, 300 m and 420 m

Answer:

I need to go and take my shower now.

Answer:

I don't know

Step-by-step explanation:

Theres not enough information in the question

Answer:

75%

Step-by-step explanation:

First we can solve the area of the rectangle originally the answer is:

4 × 2 = 8

Then we decrease both measurements by 50% to get the dimensions 1 and 2. The new area will be 1 × 2 which is 2.

2 is 25% of 8 which means that the area of the rectangle has been reduced by 75%.

Answer:

It is 8 < 3n

Step-by-step explanation:

8 < { 3 times a number }

let this number be x :

\(» \: 8 < \{3 \times n \} \\ » \: 8 < 3n\)

Answer:

x = \(\frac{32}{3}\)

Step-by-step explanation:

We know that p(x) = 13. Thus, substitute 13 for the "p(x)" in the equation. Then, isolate x by subtracting both sides by \(\frac{7}{3}\):

\(p(x) = x + \frac{7}{3}\\13 = x + \frac{7}{3} \\13 - \frac{7}{3} = x \\\frac{39}{3}- \frac{7}{3} = x \\\frac{32}{3} = x\)

Thus, x = \(\frac{32}{3}\).

Answer:

2 cups of sugar

1 cup of butter

4 eggs

Step-by-step explanation:

Multiply the recipe by 2

8 cups of flour

Answer: since Greg has 8 cups of flour he should have 2 cups of sugar 1 cup of butter and 4 eggs

Step-by-step explanation:

Answer:

13 I think

Step-by-step explanation:

So basically all i did was double what the gate had. 5=15 3=13 I dont know if that makes lol

Answer:

Coordinates of the starting point ( -50 ; 0 )

Coordinates 4 seconds later Q ( - 25*√3  ;  25 )

Coordinates 32 seconds later R ( 25  ;  - 25*√3 )

Step-by-step explanation:

a) If Jeremy takes 48 seconds fr a lap then

The length of the lap ( length of the circle ) is:

L =  2*π*r    ⇒   L = 100*π

If the time for one lap was 48 seconds at a constant speed, the speed was

v = 100*π / 48   [m/s]

v = 6,54 m/s

12 seconds  is  1/4 0f 48  in that time he (she) reach the northernmost point, then he(she) necessarily started on the negative side of the       x-axis the coordinates at this point are

( -50 ; 0 )

b) 4 seconds later, at v = 6,54 m/s by rule of three

In 12 seconds                         90⁰

In  4  seconds  (the third part )       x ??

x = 30⁰

sin 30⁰  = 1/2

cos 30⁰ = (√3)/2

And coordinates for the point are

sin 30⁰ =  1/2  = y/50     ⇒  y =  25

cos 30⁰ = (√3)/2  = x / 50   ⇒ x = 25*√3

coordinates of the point 4 seconds later

Q ( - 25*√3  ;  25 )    she (he) is in the negative part of x-axis

c) 32 seconds later

32  is    12   +   12    +    8

Then she (he) is 8 seconds below the positive side of x-axis

8 is 2/3 of 12   ( negative 60⁰ )

sin 60⁰ = (√3)/2   = y/50       y  =  25*√3    negative

cos  60⁰ = 1/2 * 50   =  X/50  x  = 25

Coordinates of the point R

R ( 25  ;  - 25*√3 )

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

Step-by-step explanation:

This is your correct answer if ur aim is simplification!

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

3 : 5

6 : 10

9 : 15

12 : 20

15 : 25

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Let assume that X and Y reflect the diameters of onions by companies A and B.

\(\to P(9<X<10) = P(\frac{9-10.3}{1.2} < Z < \frac{10-10.3}{1.2} )\\\\\)

                          \(= P(-1.0833 < Z < -0.25)\\\\= P(Z < -0.25) - P(Z<-1.0833)\\\\= 0.2620\\\\\\\)

\(\to P(9<Y<10) = P(\frac{9-10.6}{0.9} < Z < \frac{10-10.6}{0.9} )\\\\\)

                          \(= P(-1.7778 < Z < -0.6667)\\\\= 0.2148\\\\\)

As a result, onions through company A are chosen and they're more likely to be accepted.

The vertex form of the quadratic function f(x) = 2x^2 + 8x + 7 is f(x) = 2(x + 2)^2 - 25.

Take a look at the quadratic function:

f(x) = 2x^2 + 8x + 7

In this situation, a = 2 and b = 8, yielding:

f(x) = 2(x^2 + 4x) + 7

It shtbe noted that to determine the value to add and subtract, multiply (b/2a)2 by (8/2(2))2 = 42 = 16. Inside the parenthesis, we add and subtract 16:

f(x) = 2(x^2 + 4x + 16 - 16) + 7

The expression inside the parenthesis can now be written as a perfect square:

f(x) = 2((x + 2)^2 - 16) + 7

Finally, the phrase is simplified by spreading the 2:

f(x) = 2(x + 2)^2 - 32 + 7

f(x) = 2(x + 2)^2 - 25

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What is the vertex form of the quadratic function f(x) = 2x^2 + 8x + 7

Answer:

1 and 1/15

Step-by-step explanation:

Answer: 25,000

Step-by-step explanation: 10x10x16x16=25,000

Answer:

{(1-2g) + 4h] x 5 =

Step-by-step explanation:

Answer:

864

Step-by-step explanation:

80/100 simplified is 4/5

so you do 4/5 of 1080

which is 1080 divided by 5 that is 216

and then 216 x 4 which is 864

Answer:

-65 i believe

Step-by-step explanation:

The probability of randomly selecting a number between 1 and 1000 (including both ends) which is divisible by 3, 3 and 5, and 3 or 5 is 33.3%, 6.6%, and 46.7%, respectively.

To find the probability of randomly selecting a number between 1 and 1000 (including both ends), we can count the number of the desired outcomes and divide it by the total number of possible outcomes.

a. To find the probability of randomly selecting a number between 1 and 1000 (including both ends) which is divisible by 3, we can count the number of multiples of 3 between 1 and 1000, and divide by the total number of possible outcomes.

The first multiple of 3 is 3, and the last multiple of 3 that is less than or equal to 1000 is 999.

999/3 = 333

So there are 333 multiples of 3 between 1 and 1000.

probability = 333/1000 = 0.333 = 33.3%

b. To find the probability of randomly selecting a number between 1 and 1000 (including both ends) which is divisible by 3 and 5, we can count the number of multiples of 15 (the least common multiple of 3 and 5) between 1 and 1000, and divide by the total number of possible outcomes.

The first multiple of 15 is 15, and the last multiple of 15 that is less than or equal to 1000 is 990.

990/15 = 66

So there are 66 multiples of 15 between 1 and 1000.

probability = 66/1000 = 0.066 = 6.6%

c. To find the probability of randomly selecting a number between 1 and 1000 (including both ends) which is divisible by 3 or 5, we can count the number of multiples of 3 or 5 (or both) between 1 and 1000, and divide by the total number of possible outcomes.

To count the number of multiples of 3 or 5, we can add the number of multiples of 3 and the number of multiples of 5, and then subtract the number of multiples of 15 (to avoid double-counting).

The number of multiples of 3 between 1 and 1000 is 333, the number of multiples of 5 is 200, and the number of multiples of 15 is 66.

probability = (200 + 333 - 66)/1000 = 0.467 = 46.7%

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Answer:

use what u learn from the teacher

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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