MATHEMATICS MIDDLE SCHOOL

maple grove wants to include two types of maple trees, the namesake of the city, for their parks two varieties have been selected one variety costs $75 per tree; the other more colorful variety costs $95 per tree the tree budget must not exceed $85,000

Answers

Answer 1

Answer:

For Complete question: refer attached figure

Correct Answer:

The system of inequalities that represents this situation is:

$75x+ 95y \leq 85,000$ , $x \leq y$

Step-by-step explanation:

We have , x be the number of $75 trees and y the number of $95 trees . And it's given that the tree budget must not exceed $85,000 . So,

⇒ $75(x)+ 95(y) \leq 85,000$

⇒ $75x+ 95y \leq 85,000$

⇒ $5(13x+ 19y) \leq 5(17,000)$

⇒ $13x+ 19y \leq 17,000$

Therefore, Inequalities are $75x+ 95y \leq 85,000$ , $x \leq y$ .

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If 3 times a certain number is increased by 4 the result is 28 what is the number

Answers

Answer: The number is 8

Step-by-step explanation:

Let be "x" the certain number. Then "3 times a certain number" means that the number "x" is multiplied by 3. This is:

$(3)(x)=3x$

Now, "3 times a certain number is increased by 4" means that the we must add 4 to $3x$ , in other words, this indicate an addition:

$3x+4$

And finally "3 times a certain number is increased by 4 the result is 28" means that $3x+4$ is equal to 28. Then the expression is:

$3x+4=28$

To find the number "x", subtract 4 from both sides of the equation:

$3x+4-4=28-4$

$3x=24$

Dividing both sides of the equation by 3, you get that the number is:

$(3x)/(3)=(24)/(3)\n\nx=8$

3x+4=28
-4 -4
3x=24
/3 /3
x=8

What number is more than -0.8 but less than -0.1

Answers

Answer:

-0.7

its easy hehe just - 1

An initial deposit of $1400 earns 11% interest, compounded monthly. How much will be in the account in 3.5 years

Answers

Use the formula A = p(1 + r/n)^(nt).

Here is the set up:

You want to solve for A.

A = 1400[1 + (0.11)/(12)]^(12)(3.5)

Plug into calculator to find the value of A.

A = money in the account after 3.5 years.

The area of a triangular field is 900msquare what is the base of the triangle if the height is 60m

Answers

Area formula of a triangle is:
A = $(1)/(2)$ bh
We know the are and the height, so substitute to find the base
900 m² = $(1)/(2)$ × b × 60 m
900 = 30b
Divide by 30 to isolate b
$(900)/(30) = (30b)/(30)$
30 and 30 cancels out
b = 30 m

Base of this triangle is 30 m

Solve the linear inequality −6x+12>24