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Arlecino [84]
2 years ago
9

All of the following expressions are equivalent except _____. 1.x - 7 2. 7 + (- x) 3. - x + 7 4. 7 - x

Mathematics
1 answer:
Elena L [17]2 years ago
4 0

Answer:

x-7

Step-by-step explanation:

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Kiran's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the
PtichkaEL [24]

Answer:

$25.50

Step-by-step explanation:

So we have a 15% off coupon. We can multiply 25×.85 to find our new price.

Our total is now $21.25

Now to find the tip do $21.25 +(.2 × 21.25)

*The .2 is 20 percent of our discount price.*

We then get $25.50

8 0
3 years ago
A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur
Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

6 0
1 year ago
A school district wants to determine the most effective way to prepare seniors for the SAT. They randomly select senior level ma
My name is Ann [436]

Answer:

In the SAT; Pedagogical relationships are not traditional but those of a group of people working together towards a common goal. Students and tutor challenge specific problems together and face a style of encounter that opens the way to self-learning.

● Within the SAT group, which is at the same time a group of neighbors who share possibilities and problems, learning to dialogue is both an educational objective and a means of training.

Step-by-step explanation:

The purpose of the SAT is for graduates to be competent to perform in their own communities at different levels of activity. The Booster, for example, works at the level of improvement of productive projects within its own productive units or those of its neighbors. The Pilot, in addition to the previous capacity, can organize different types of activities for the common good (health projects, the environment, work with children, recreation, production in solidarity). These two levels are approved by law with the basic secondary. At the Bachelor level, graduates are trained to participate in more complex organizations and develop long-term initiatives in both productive and organizational aspects.

To achieve greater ease and adaptation to the SAT, <em><u>I consider that the group that is being taught with the non-traditional method and where the students work in groups, can easily adapt to the SAT learning system.</u></em>

4 0
2 years ago
Leslie used 20% of a half-gallon (64 ounces) of milk for a recipe. How many ounces of milk were left?
Lady_Fox [76]

Answer:

51.2 ounces.

Step-by-step explanation:

If its 20% of a 64 ounce half gallon, you just need to find the last 80% of the half gallon. Since you know it is 64 ounces you can divide it by 5 which gives you 12.8. 12.8 would be 20% so you just subtract 12.8 from 64 ounces which gives you 51.2.

5 0
2 years ago
An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by removing a small square from each corner
seraphim [82]

The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.

<h3>How to solve the dimension?</h3>

Let x be the side of the square to remove. Then the volume of the box is:

V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³

To find the maximum volume, differentiate and set it to 0:

V'(x) = 324 - 144x + 12x²

0 = x² - 12x + 27

0 = (x - 9)(x - 3)

x = 3 or 9

When x = 3,

V"(x) =-144+24x

V"(3) =-144+72=-72<0

so volume is maximum at x=3

Therefore the box is 12x12x3 and the volume is 432.

Learn more about dimension on:

brainly.com/question/26740257

6 0
1 year ago
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