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Sonja [21]

Answer:

The total amount without tax is $141.57

Step-by-step explanation:

Since the coupon is 10% off, they would only have to pay 90% of what they would before (this is before tax). To find out the total after the coupon you would find 90% of 157.30. (This is the longer but better explainable/showable way)

157.30 / 100 = 1.573 (this is 1%)

1.573 * 90 = 141.57

Therefore the answer is $141.57

6 0

3 years ago

⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari

Mkey [24]

Part A:

Given that

$0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y$

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.

Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

$5=2k \\ \\ \Rightarrow k=\frac{5}{2} =2.5 \\ \\ \Rightarrow y=2.5x$

When x = 12, y = 2.5(12) = 30.

Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

$9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x$

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is $y=-\frac{3}{2}x$

Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

$1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x$

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.

8 0

3 years ago

Read 2 more answers

Unit three study guide

frutty [35]

Study it! Flash cards are a good idea!

4 0

4 years ago

Read 2 more answers

In ΔLMN, \overline{LN} LN is extended through point N to point O, m∠NLM = (x+1)^{\circ}(x+1) ∘ , m∠LMN = (x+15)^{\circ}(x+15) ∘

mixer [17]

Answer:

26 degree

Step-by-step explanation:

We are given that in triangle

$\angle NLM=(x+1)^{\circ}$

$\angke LMN=(x+15)^{\circ}$

$\angle MNO=(4x+6)^{\circ}$

$\angle MNO+\angle MNL=180^{\circ}$

By using linear pair angles property

$\angle MNL=180-\angle MNO=180-(4x+6)$

$\angle MNL+\angle NLM+\angle LMN=180^{\circ}$

By using triangle angles sum property

$180-(4x+6)+x+15+x+1=180$

$2x+16=180-180+4x+6$

$16-6=4x-2x=2x$

$2x=10$

$x=\frac{10}{2}=5$

Substitute the value

$\angle MNO=4(5)+6=20+6=26^{\circ}$

3 0

3 years ago

Find the value of x need help

amm1812

Answer:

x=-10

Step-by-step explanation:

since there's a given 120 degrees, and it's a isosceles triangle, we know that the line adds up to 180 (where the 120 degrees is). so 120+x=180, the interior angle measures 60 degrees. That being said, the 3 angles measure 60 degrees also. now there's a right angle mark on top, so we find the angle of the smaller triangle (near angle 2) by doing 90-60=30 degrees.

angle 2 is said to be x+160, and there's a line, which tells us that they must add to 180.. so x+160+30=180

x+190=180

x=-10.

5 0

2 years ago