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3 years ago

Select the simplification that accurately explains the following statement.

Mathematics

1 answer:

Mariana [72]3 years ago

8 0

<u>Answer</u>

<u>Explanation</u>

9⁽¹/²⁾² = (9⁽¹/²⁾)²

= 9¹/² × 9¹/² (Since the base are the same, we can add the power.)

= 9⁽¹/² ⁺¹/²⁾

= 9 ¹

= 9

The correct simplification is D.

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Please answer ASAP ❤️Will earn 15 points (hope your answers are valid )

svetoff [14.1K]

Answer: The cost of one rose bush is $7 and the cost of one shrub is also $7

Step-by-step explanation:

The situtation can be represented by the systems of the equations.

10x + 4y = 98 x in this case is the cost of one rose bushes

9x + 9y = 126 y is the cost of one shrub.

Solve the system of equation using the elimination method.

10x +4y = 98

9x + 9y = 126 eliminate the y variable so you will have to multiply 9 on top and -4 down.

9(10x +4) = (98)(9)

-4(9x + 9y) = 126(-4)

You will now have the new two systems of equations

90x +36y = 882

-36x +-36y = -504 Now add the equations

0 + 54x = 378

54x = 378

x= 7

Now we know that the cost of one rose bush is 7 so we will plot it into one of the equations and solve for the cost of one shrub.

90(7) +36y=882

630 +36y = 882

-630 -630

36y = 252

y = 7

Check: 10(7) + 4(7)= 98

70 + 28 = 98

98= 98

so one rose bush is actually 7 dollars the same as 1 shrub.

5 0

2 years ago

Short sleeve t-shirts cost $10 and long sleeve t-shirts cost $15. If the t-shirt shop made $485 selling 38 total t-shirts, how m

BartSMP [9]

Answer:

The t-shirt shop sold 21 long sleeve shirts and 17 short sleeve shirts.

Step-by-step explanation:

To solve this problem, we should create a system of equations. Let's let short sleeve t-shirts be represented by the variable s and long sleeve t-shirts be represented by the variable l.

We know that the shop sold 38 total shirts, or in other words, the amount of long sleeve and short sleeve shirts combined is 38. If we write this as an equation, we get: s + l = 38.

We can make another equation with the prices of the shirts. If we take each type of shirt and multiply each price by the number sold and add them together, we should get the shop's total profits. Represented as an equation, this is: 10s + 15l = 485.

Now that we have two equations, we should try to solve the system. In this case, it is easiest to use substitution, so we are going to rewrite the first equation in terms of one variable.

s + l = 38

s = 38 - l

If we substitute this equivalent value for the variable s into the second equation, we get:

10s + 15l = 485

10(38 - l) + 15l = 485

Now we have an equation that only has one variable, so we can simplify both sides and then isolate the variable.

380 - 10l + 15l = 485

380 + 5l = 485

5l = 105

l = 21

Now, we can substitute this value for l back into the first equation to solve for the variable s.

s + l = 38