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Scrat [10]
3 years ago
10

You want to buy a new case for your iPhone. The case is $37 and the tax is 6%. WHAT IS THE TOTAL?

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

$39.22

Step-by-step explanation:

The case costs $37. $37 is 100% of the price of the case.

The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.

The total price including tax is 106% of the price of the case.

106% of $37 = 1.06 * $37 = $39.22

Answer: $39.22

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5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
3 years ago
Is 16x^2-36x+25^2 a perfect Square trinomial
yulyashka [42]

Answer:

No, middle term should be 40x.

Step-by-step explanation:

16 {x}^{2}  - 2 \times 4x \times 5 +  {25}^{2}  \\   =  {(4x)}^{2}  - 40x +  {5}^{2}  \\  = (4x - 5)^{2}  \\

Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.

6 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
Four out of nine dogs weigh less than 20 pounds.
vodka [1.7K]
The answer is 0.444 repeating.
5 0
3 years ago
Need help with this question
AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

((x_1, y_1) and (x_2, y_2) are points on the line)


In context of this problem, we can use the formula to find the slope of the line between the two points:

m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1


Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is (y - y_1) = m(x - x_1) where (x_1, y_1) is a point on the line)


In the context of the problem, we could use the formula to find the equation of the line:

(y - 6) = -1(x + 1)

(y - 6) = -x - 1

\boxed{y = -x + 5}


The equation of the line is y = -x + 5.

4 0
3 years ago
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