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adoni [48]
3 years ago
15

The fourth and fifth grade classes at James Madison Elementary School are going on a field trip. There are 87 students in fourth

grade, 96 students in the fifth grade, and 8 teachers. Each bus can hold up to 26 people. How many buses are needed to hold all the students and teachers?
Mathematics
1 answer:
Anna11 [10]3 years ago
6 0

Answer:

about 7

Step-by-step explanation:

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Arjun and Jessica each improved their yards by planting daylilies and shrubs. They bought their
Anvisha [2.4K]

Hi there! Let me know if you have questions about my answer:

One shrub is $11.

One daylily is $4.

Step-by-step explanation:

To find the cost of each item, write a system of equations, one equation for what each person bought, and solve for each variable.

<u>Define your variables.</u>

let 'd' be the cost of one daylily

let 'r' be the cost of one shrub

<u>Create a system using the variables and information from the question.</u>

Write an equation for what Arjun bought:

5d + 7r = 97            5 daylilies, 7 shrubs, totaling $97

Write an equation for what Jessica bought:

2d + 11r = 129          2 daylilies, 11 shrubs, totaling $129

<u>Solve the system.</u>

I will solve the system algebraically, using the substitution method. Isolate one variable in one of the equations.

I will isolate 'd' in Jessica's equation:

2d + 11r = 129              Start with Jessica's equation

\frac{2d + 11r}{2} = \frac{129}{2}                  Divide everything in the equation by 2

d + \frac{11r}{2} = \frac{129}{2}                 Simplify

d = \frac{129}{2} - \frac{11r}{2}                 Isolate 'd' by subtracting \frac{11r}{2} from both sides.

Now you have an expression for 'd'.

Substitute Arjun's equation with the expression for 'd'. Solve for 'r' to find the cost of one shrub.

5d + 7r = 97                      Start with Arjun's equation

5(\frac{129}{2} - \frac{11r}{2}) + 7r = 97       Substitute 'd' for  d = \frac{129}{2} - \frac{11r}{2}

\frac{5*129}{2} - \frac{5*11r}{2} + 7r = 97      Distribute the 5

\frac{645}{2} - \frac{55r}{2} + 7r = 97            Simplify the numerators

\frac{645}{2} - \frac{55r}{2} + \frac{14r}{2} = 97          Change 7r to a fraction over 2

\frac{645}{2} - \frac{41r}{2} = 97                    Combine like terms, the terms with 'r'

\frac{645-41r}{2} = 97                       Simplify

645-41r = 194                 Multiply both sides by 2

-41r = 194-645              Subtract 645 from both sides

-41r = -451                     Divide both sides by –41

r = 11                                Solved for cost of one shrub

Substitute 'r' for 11 using either Arjun's or Jessica's equation. Then, isolate 'd' to solve for the cost of one daylily.

I will use Arjun's equation.

5d + 7r = 97                   Start with Arjun's equation

5d + 7(11) = 97              Substitute 'r' for r = 11

5d + 77 = 97                   Simplify. Subtract 77 from both sides.

5d = 20                           Divide both sides by 5.

d = 4                              Solved for the cost of one daylily

I hope this helped! Check out a similar problem about solving systems here to learn more:

brainly.com/question/11103098

7 0
3 years ago
What is 1 + 1? answer
Lady bird [3.3K]

Answer:

2

Step-by-step explanation:

1

+ <u>1</u>

2

hope this helps...

3 0
3 years ago
Evaluate.4 2 – 6+2 +3 =
Charra [1.4K]
4^2-6\text{ / 2 + 3 = ?}4^2\text{ - }\frac{6}{2}\text{ + 3 = ? }\Rightarrow\text{ 16 - 3 + 3 = ?}

16 - 3 + 3 = 16

3 0
1 year ago
One-third of a number t is equal to 7.<br> Write the word sentence as an equation then solve
Artemon [7]

Answer:

21

Step-by-step explanation:

One third of the number can be represented by 1/3t.

To make an equation, set this equal to 7.

1/3t = 7

Then, solve for t by dividing each side by 1/3:

1/3t = 7

t = 21

So, the number is 21.

6 0
3 years ago
Donnie has18 melons. Each melon weighs 3 pounds. How many pounds of melons does Donnie have in all? A. 6 pounds B. 11 pounds C.
pentagon [3]
18 x 3 = 54. So the correct answer is D. 54 pounds.
4 0
3 years ago
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