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kirill [66]
3 years ago
5

In one day, a yoga instructor teaches 3 classes in the morning and 4 classes in the afternoon. The length of each class is m min

utes.
Which expression represents the total number of minutes the yoga instructor teaches in one day?
OA 7m
OB 7+ m
ОС. 10
D10 + m
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

B. 7m

Step-by-step explanation:

She has 7 classes a day (3+4), and each takes the same number of minutes. If m stands for minutes per class, you can find the total minutes per day by multiplying 7 by m. Therefore the answer is 7m.

Example: Let's say a class takes 30 minutes, you would put 30 in the place of m, 7x30=210, so she would be teaching 210 minutes of yoga class each day.

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Cynthia drove 288 miles in 4 1/2 hours. What was her speed in miles per hour?
a_sh-v [17]
4*1/2=2
288/2
144
her speed was 144 miles per hour
8 0
3 years ago
I really need help with this​
Andreyy89

Answer:

x = 67

Step-by-step explanation:

If the measure of the entire chord is 166°, then if you add the two angles that form it together, it will equal 166.

So,

x + 15 + x + 17 = 166

Simplify.

2x + 32 = 166

Subtract 32 from both sides.

2x = 134

Divide both sides by 2.

x = 67

I hope this helps! Feel free to ask any questions!

3 0
2 years ago
6. The diagram on the right shows the cross-section of a cylindrical pipe with water lying in the bottom. a) If the maximum dept
riadik2000 [5.3K]

Answer:

404 cm³ Anyway... Look down here for my explanation.

Step-by-step explanation:

Let's Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth on your paper. A right-angled triangle is formed too. The Length of side to the water-surface is 5 cm, the hospot is 7 cm.

We Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7)

44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8°

The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram.

Shaded area 88.8/360*area of circle - ½*7*788.8°

= 88.8/360*π*7² - 24.5*sin 88.8°

13.5 cm²

(using area of ∆ = ½.a.b.sin C for the triangle)

Volume of water = cross-sectional area * length

13.5 * 30 cm³

404 cm³

6 0
2 years ago
Can someone explain to me how to do this? I just don't get it.
Maksim231197 [3]

Answer:

x=130

Step-by-step explanation:

triangle=180

180-34-96=50

line=180

180-50=130

7 0
2 years ago
Find a third-degree polynomial function with real coefficients and with zeros at -4 and -3 5i
Charra [1.4K]

If -3+5i is a solution, then by the conjugate root theorem, -3-5i is also a solution. We find the polynomial by multiplying together the factors. If x = -4, then x + 4 is the factor. If x = -3+5i, then (x-(-3+5i)) is a factor, and so is (x-(-3-5i)). Simplifying those down gives us as the first factor as (x+3-5i) and the second as (x+3+5i). We can FOIL those 2 together to get their product, and then FOIL in x+4. FOILing the 2 complex factors together gives us x^2+3x+15ix+3x+9+15i-15ix-15i-25i^2. If we combine like terms and cross out things that cancel it's much easier than what it looks like there! It simplifies down to x^2+6x-25i^2. Since i^2 = -1, it simplifies further to x^2+6x-25(-1) and finally, to x^2+6x+25. Now we will FOIL in x+4. (x^2+6x+25)(x+4)=x^3+6x^2+25x+4x^2+24x+100. Our final simplified third degree polynomial is x^3+10x^2+49x+100

3 0
3 years ago
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