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poizon [28]
2 years ago
7

Find the product of (5x+20) and the multiplicative inverse of 5.

Mathematics
2 answers:
Fiesta28 [93]2 years ago
8 0

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

Yakvenalex [24]2 years ago
6 0

Answer:

x+4

Step-by-step explanation:

This is because the multiplicative inverse of 5 is the reciprocal, or 1/5. This is then multiplied (distribution) to (5x+20), simplifying to x+4.

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On a school trip to a theme park, four busses each carry 105 students. 35% of the students are bringing their own lunch. 3/7 of
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Answer:

We have a lunch pack for her lunch

3 0
2 years ago
Please help I don’t want to give up it’s getting hard
Svetradugi [14.3K]

Answer:

144 goes with 12, 36 goes with 6, 9 goes with 3, and 121 goes with 11.

Step-by-step explanation:

The second number stated in each phrase is time itself to create the first number. For example, 144. If we take the second number in the number phrase (12) and time it by itself (12 * 12) it equals 144. This applies to each number phrase.

6 0
3 years ago
Read 2 more answers
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
pashok25 [27]

Answer:

4.2

Step-by-step explanation:

simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.

8 0
2 years ago
The area of a door is 3024 square inches. If
olasank [31]

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

7 0
3 years ago
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
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