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3 years ago

Help with these questions, please!!

Mathematics

2 answers:

ivann1987 [24]3 years ago

8 0

Your rhombus is 1,960

shepuryov [24]3 years ago

6 0

Answer:

A = 94.5x cm^2

Step-by-step explanation:

To find the area of a trapezoid you have to use this equation.

A = a+b/2*h

Now plug in the numbers

12x + 15x /2*7

27x/2*7

13.5*7

94.5

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What is the solution to the equation 5+9×=50

Tanzania [10]

X=5

step by step explanation:
50-5=45
45 divided by 9= 5

x=5

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3 years ago

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What is 0.48 written as a fraction in lowest terms?

My name is Ann [436]

Answer:

12/25

Step-by-step explanation:

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3 years ago

Find the distance between the points (7,-1) and (5,9)

Dmitry_Shevchenko [17]

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Answer: $\textsf{10.198 units}$

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Given: $\textsf{Points (7, -1) and (5, 9)}$

Find: $\textsf{Determine the distance between the two points}$

Solution: In order to find the distance we need to use the distance formula, plug in the values, and simplify the expression.

Plug in the values

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$d = \sqrt{(5 - 7)^2 + (9 - (-1))^2}$

Simplify the expression

$d = \sqrt{(-2)^2 + (9 + 1)^2}$

$d = \sqrt{4+ (10)^2}$

$d = \sqrt{4 + 100}$

$d = \sqrt{104}$

$d = 10.198$

After simplifying the expression we were able to determine that the distance between the two points is 10.198 units.

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2 years ago

Six times the sum of a number and 4 equals 5 Write as an equation

ale4655 [162]

Answer:

6 (x+4) = 5

Step-by-step explanation:

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3 years ago

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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.

Define your variables.

let 'd' be the cost of one daylily

let 'r' be the cost of one shrub

Create a system using the variables and information from the question.

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

Solve the system.

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