12.3 Activity: 5 dollars

Answer:

A van can carry 15 students and a bus can carry 21 students

Step-by-step explanation:

System of Equations

There are separate trips to the water park for which vans and buses were rented. Let's call the variables:

x = number of students that a van can carry

y = number of students that a bus can carry

6 vans and 8 buses were filled with 246 students. This leads to the equation:

6x + 8y = 246

Dividing by 2:

4x + 3y = 123      [1]

4 vans and 8 buses were filled with 228 students. Thus, we form the equation:

4x + 8y = 228     [2]

Subtracting [2] minus [1]:

5y = 228 - 123 = 105

Dividing by 5:

y = 105/5 = 21

y = 21

From [1]:

4x + 3*21 = 123

4x + 63 = 123

Subtracting 63:

4x = 60

Dividing by 4:

x = 60/4 = 15

x = 15

A van can carry 15 students and a bus can carry 21 students

Answer:

24|5

25|0;1;3;8

26|4;7;9

27|3;6

Step-by-step explanation:

key in the bottom right:

24|5means 245

Por favor, no elimines esto, necesito puntos. Pero creo que serían

veinte, no estoy muy seguro ...

Answer:

15 degrees celsius

Step-by-step explanation:

15 degrees is needed to get to 1 degree celsius

if 0 degrees celsius is when it freezes then 1 should be where it begins to melt

Answer:

4

Step-by-step explanation:

12/9=4/3

4/3/1/3=4

Answer:

4 muffins

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number    Price per     Total            Commission                    Total cost

of Shares  Share                             (At 6% of total)        

100           $16.25          $1625         [tex]1625\times \frac{6}{100}=97.5[/tex]      1625+97.5 = $1722.5      

100           $11.31            $1131           [tex]1131\times \frac{6}{100}=67.86[/tex]    1131+67.86=$1198.86

40             $9.15             $366          [tex]366\times \frac{6}{100}=21.96[/tex]      366+21.96=$387.96

100           $15.27           $1527        [tex]1527\times \frac{6}{100}=91.62[/tex]    1527+91.62=$1618.62

100           $13.22           $1322        [tex]1322\times \frac{6}{100}=79.32[/tex]   1322+79.32=$1401.32

Answer:

a 33.3 percent

Step-by-step explanation:

<hdhdhdhdhhdhdhdhdd

Answer:

Step-by-step explanation:

There are two possible scenarios

1. First marble is blue and second marble is not blue:

2. First marble is not blue and second marble is blue:

The probability that one, but not both, of them, will be blue:

Correct option is D

Answer:

5% of the cars has a standard transmission.

Step-by-step explanation:

20 out of 400 is equal to 5 out of 100, which would be 5%

therefore 20 is 5% of 400

Answer:

The answer is 499m rounded

Step-by-step explanation:

Answer:

I think it's 90

Step-by-step explanation:

A every minute is 60 secs

60 times 3 = 180

180 divided by 2 =90

Answer:

Each side is 12 feet.

Answer:

6 nickels and 4 dimes

Step-by-step explanation:

6 times .05 is .30

4 times .10 is .40

just add them

.40 + .30 = .70

The equation should be:

.70 = .10y + .05x

I have 4 dimes and 6 nickels.

The question is ill-formatted. The following is the question.

You have a total of ten coins in your pocket, all of which are nickels and dimes. The total value of the coins is $0.70. To find nickels and dimes in your pocket, write and solve a system of linear equations. Let x represents the number of nickels and let y represent the number of dimes. Find the number of nickels and dimes.

One-hundredth of a dollar is equivalent to one cent.

A nickel is worth 5 cents. That means $0.05.

A dime is worth 10 cents. That means $0.10.

As per the question,

conversion of the statements into mathematical equations:

Subtracting the above equation from the below equation we get y=4.
And by substituting y=4 in x+y=10 we get x=6.

Hence, I have 4 dimes and 6 nickels.

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Answer:

Step-by-step explanation:

8b-4b+8-3=4b+5

4b=-5

b=-5/4=1 1/4

Answer:

4b+5

Step-by-step explanation:

Answer:

g=-1+3

g=2

Step-by-step explanation:

Answer:

g(1) = 2

Step-by-step explanation:

g(1) = -1 + 3

g(1) = 2

Answer:

2+4a

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Pythagorean theorem converse

Answer:

The value of x is 13.7.

Step-by-step explanation:

☆We are going to use the Pythagorean theorem to solve this.

☆Pythagorean Theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.

☆Let's plug in according to the pythagorean theorem and solve!

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {9.2}^{2} = {16.5}^{2} \\ {x}^{2} + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^{2} = \sqrt{187.61} } \\ x = 13.7[/tex]

Answer:

I dont know the answer, but I am going to give you a lot of luck, so good luck!

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

3/30

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

you divide by 3/5 by 6

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

Answer:

137.2 m³

Step-by-step explanation:

Given the ratio of sides a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 5 : 7 , then

ratio of volumes = 5³ : 7³ = 125 : 343

let x be the volume of the larger prism then by proportion

[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )

125x = 17150 ( divide both sides by 125 )

x = 137.2

That is volume of larger prism is 137.2 m³

Answer:

Top right

Step-by-step explanation:

Rise/run is useful in this situation also is this iready?!

Answer:

The value of x is 6

Step-by-step explanation:

The perimeter of an equilateral triangle is P = 3 × S, where S is the length of each side

∵ The perimeter of an equilateral triangle is 63 inches

∴ P = 63 inches

→ By using the rule of the perimeter above

∵ P = 3 × S

→ Equate the right sides of P

∴ 3 × S = 63

→ Divide both sides by 3

∴ S = 21 inches

∴ The length of each side is 21 inches

∵ The length of each side is (4x - 3)

→ Equate (4x - 3) by the length of each side

∴ 4x - 3 = 21

→ Add 3 to both sides

∵ 4x - 3 + 3 = 21 + 3

∴ 4x = 24

→ Divide both sides by 4 to find x

∴ x = 6

∴ The value of x is 6

Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

The baker has [tex]1\frac{5}{12}[/tex] cups of flour left after making the sheet cake.

A fraction represents a part of a whole.

Given that  baker needs [tex]8\frac{1}{2}[/tex] cups of flour for a sheet cake recipe.

Baker has  [tex]4\frac{2}{3}[/tex] cups of flour in a canister and buys [tex]5\frac{1}{4}[/tex] cups more.

The flour he has in total =  [tex]4\frac{2}{3}[/tex] +  [tex]5\frac{1}{4}[/tex]

=14/3 +21/4

=56+63/12

=119/12

To find how much flour the baker has left after making the sheet cake, we can subtract the amount needed from the total amount:

119/12 - 17/2 = (119 - 102) / 12 = 17/12

Therefore, the baker has [tex]1\frac{5}{12}[/tex] cups of flour left after making the sheet cake.

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Answer:

-10

Step-by-step explanation:

Answer: 3x

verry eazy just subtract and keep the x

Answer:

5

Step-by-step explanation:

9+6=15

15/3=5

Step-by-step explanation:

[tex] \frac{a + b}{c} = \frac{9 + 6}{3} = \frac{15}{3} = 5 \: ans[/tex]