Your school is planning a field trip to a history museum. They are going to rent a large bus for $450. The cost of the ticket to the museum is $15.75. Write an equation to represent this situation. Then, find how many people need to go on the trip for it to cost $40 per person.

Answer:

15/20 and 18/20

Step-by-step explanation:

Least common denomintor of 3/4 and 9/10 = least common multiple of 4 and 10

multiples of 4: 4, 8, 12, 16, 20

multiples of 10: 10, 20

Least common denominator = 20

Rewrite fractions: 15/20 and 18/20

3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, are two fractions 3/4 and 9/10 we know the LCM of 4 and 10 is 20.

∴ (3×5)/(4×5) and (9×2)/(10×2).     (we have to multiply same constant to the  

                                                         fraction to retain it's original value).

So,  3/4 and 9/10 using the least common denominator is 15/20 and 18/20.

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Answer: 36

The LCM of 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 is 2 × 3 × 2 × 5 × 7 × 2 × 3 × 11 = 27720.

A multiple of 27720 will end in 0, and the sum of its digits will be a multiple of 9.

The largest 6-digit number which is multiple of 9 with last digit of 0 is 999990, and the sum of its digits is 45. 45 is not a multiple of 27720, and there is no other way to get a digit sum of 45.

We now look at the next biggest multiple of 9, 9 × 4

= 36.

The largest 6-digit multiple of 27720 is 27720 × 36 = 997920, and the sum of its digits is 36.

Answer: It means that there are 570 chocolate chips in all the 30 cookies

Step-by-step explanation:

The mean also referred to as the average of a data set is calculated by adding all numbers in a data set and dividing by number of values in the set.

Since the mean number of chocolate chips in 30 cookies is 19 chocolate chips, this means that there are:

= (30 × 19) = 570 chocolate chips in the cookies.

Answer:

The answer too your question is C. to your first part

To the second part D. is one of the answers so is E.,

Step-by-step explanation:

It is C. because there are three ones, one 4, one 3, and  one 2. that is the explanation too the first part.

Answer:

see below

Step-by-step explanation:

sqrt( -6) * sqrt(-24)

We know that sqrt(a b) = sqrt(a) sqrt(b)

sqrt(6) sqrt(-1)  * sqrt(24) sqrt(-1)

We know that sqrt(-1) = i

sqrt(6) i  * sqrt(24) i

We know that sqrt(a) sqrt(b) = sqrt(ab)

sqrt(6*24) i*i

sqrt(144) i^2

12 i^2

We know that i^2 = -1

12 (-1)

-12

Answer:

D

Step-by-step explanation:

The United States federal earned income tax credit or earned income credit is a refundable tax credit for low- to moderate-income working individuals and couples, particularly those with children.

Answer:

6.66 hours, that is, 6 hours and 40 minutes.

Step-by-step explanation:

If Mike can plow a field in 12 hours, we plows 1/12 of the field each hour.

If Phil can plow a field in 15 hours, we plows 1/15 of the field each hour.

So if they are working together, they can plow (1/12) + (1/15) of the field each hour, that is:

(1/12) + (1/15) = (5 + 4) / 60 = 9 / 60 = 3 / 20 = 1 / 6.66

So if they work together, they can plow the field in 6.66 hours, that is, 6 hours and 40 minutes.

Answer:

8.49

Step-by-step explanation:

8 + .49 = 8.49     :)

Step-by-step explanation:

Find the cost of one part and then multiply that number by 9

Answer:

C

Step-by-step explanation:

Because the x line is for degrees C and the y is for Degrees F and the y intercept is where C is at 0 and F is at 32 making it the temp in F when C is at 0 degrees

Answer:

b.

Step-by-step explanation:

Answer:

b) 75

Step-by-step explanation:

The totalnumber of combinations are: 5×3×5 = 75

You have 5 choices for a drink and for each drink you have 3 choice for a sandwich and for each chosen sandwich you have 5 choices for a side.

a combination is :

( drink , sandwich, side )

  5      ×    3         ×  5

Answer:

£3.50

Step-by-step explanation:

£4.90 = 7/8

£4.90/(7/8) = £5.60 (Total Amount of Money)

£5.60 x (5/8) = £3.50

Answer:

£3.50

Step-by-step explanation:

    [tex]\frac{7}{8}[/tex] = £4.90

(÷7)              (÷7)

    [tex]\frac{1}{8}[/tex] = £0.70

(×5)              (×5)

    [tex]\frac{5}{8}[/tex] = £3.50

I hope this helps <3

Answer:

15%

Step-by-step explanation:

[tex]\frac{76.50}{90}=\frac{x}{100}[/tex]         Set up a proportion.

[tex]90x=7,650[/tex]      Cross-multiply.

[tex]x=85[/tex]               Divide both sides by 90.

[tex]100-85=15[/tex]    The discounted price is 85% of the regular price so the                                          

                        discount is 15%.

Answer:  

4/7

Step-by-step explanation:  Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Answer: 77 percent

Step-by-step explanation:

The value of the stock decrease by 23.13%.

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Given:

The price of the stock was $35.48.

Then The price of the stock is $27.36.

So, the decrease in amount= 35.48 - 27.36 = 8.12

Then, percent decrease

= 8.12/ 35.48 x 100

= 23.13%

Hence, the percent decrease is 23.13%.

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Answer:

[0, infinity)

Step-by-step explanation:

The domain is including all numbers from 0 to infinity.

The reason negative numbers are not included is because of the [tex]\sqrt{x}[/tex]. A negative number cannot be included there, otherwise it would be what's called an "imaginary number" (i).

Therefore, every number besides negative numbers are included in the domain.

Answer:

x+3

Step-by-step explanation:

sqrt(x^2+6x+9)

factor

We know this is a perfect square trinomial

sqrt(( x+3)^2)

Taking the square root of a square

x+3

Answer:

67

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

cross multiply

isolate x

12x=7.5(8)

12x=60

12x/12=60/12

5 is the answer

Answer:

132

Step-by-step explanation:

13x2= 26 26+18 = 44

44x3=132

Answer:

Option 4

Step-by-step explanation:

Thank me later

Answer:

Step-by-step explanation:

In written form:

three hundred fourteen thousandths

In standard form:

0.314

In expanded form:

3 x (1/10) + 14 x (1/1000)

3 x (1/10) = .3

14 x (1/1000) = .014

.3 + .014 = .314

Therefore, these are the two correct answer choices.

Answer:

[tex]ange a is 5[/tex]

angle b is 20

Answer:

angle a is 40

angle b is 20

amgle c is 120

Step-by-step explanation:

Answer:

The slope decreases and the y-intercept decreases.

Explanation:

Red is original, blue is when y is doubled.

Answer

He made a mistake on the First step I think

Step-by-step explanation:

1st one

Answer:

First mistake appears in First Step

Step-by-step explanation:

First mistake appears in First Step, within the parenthesis need to solve division first.

2 + 5 x (4 + 18 ÷ 6)

Step 1 should be 18 ÷ 6

2 + 5 x ( 4 + 3 )

Step 2 is 4 + 3

2 + 5 x 7

Step 3 is 5 x 7

2 + 35

Step 4 is 2 + 35

Answer 37  

Answer:

Is D

Step-by-step explanation:

Because is moving four times right and four times down.

Answer:

sqrt(6x^2+18x)

Step-by-step explanation:

sqrt(6x) * sqrt(x+3)

We know sqrt(a)sqrt(b) = sqrt(ab)

sqrt(6x * (x+3))

sqrt(6x^2+18x)

Answer:

[tex]\text{B. } \sqrt{6x^2+18x}[/tex]

Step-by-step explanation:

[tex]\sqrt{6x}\sqrt{x+3}[/tex]

[tex]\sqrt{6x(x+3)}[/tex]

[tex]\sqrt{6x^2+18x}[/tex]

Answer:

12(r-t)

Step-by-step explanation:

12r - 12 t

we take 12 comman factor

Answer:

1/3

Step-by-step explanation:

Scale factor = 4/12 = 1/3

Answer:

Step-by-step explanation:

7,24

Answer:

b

Step-by-step explanation:

The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, According to the given details,

Fran works 15 hours per week for $225 which makes it $15 per hour.

Hence, If she adds another 2 hours per week to make it 17 hours,

Then, she will earn $255 dollars per week.

Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Hence, The correct answer for the given problem above would be option B.

⇒ Fran must work 17 hours per week to meet her goal.

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