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Anni [7]
3 years ago
12

Nora and Lila are reading the same novel for book club. Nora is on page 128 and plans to read 8 pages per day until the next clu

b meeting. Lila
is on page 102 and plans to read 12 pages per day until the next club meeting.

After how many days of reading will Nora and Lila be on the same page of the book? What page will they be on?

NORA AND LIKA WILL BE ON THE SAME PAGE AFTER ____ DAYS OF READING . ON THAT DAY , THEY WILL BITH BE ON PAGE ___
Mathematics
1 answer:
REY [17]3 years ago
3 0

Answer:

Both will be at the same page after 6.5 days and the page number will be 180.

Step-by-step explanation:

Let after x days Nora and Lila will be at the same page.

Nora is on page 128 and plans to read 8 pages per day until the next club meeting.

After x days Nora will be at the page number = 128 + 8x

Similarly, Lila is on page 102 and she reads 12 pages per day.

After x days Lila will be on page number = 102 + 12x

Since after x days they will be at the same page

Therefore, 128 + 8x = 102 + 12x

12x - 8x = 128 - 102

4x = 26

x = \frac{26}{4}

x = 6.5 days

Page number they will be on = 128 + 8(6.5)

= 128 + 52

= 180

Both will be at the same page after 6.5 days and the page number will be 180.

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A. 34cm^3<br> b. 1560cm^3<br> c. 104cm^3<br> d 676cm^3
Vanyuwa [196]

Answer:

676 cubic cm choice d

Step-by-step explanation:

Base area times height gets volume

Base area =  (1/2)*13 * 8  =  52 sq. cm   (area of the right triangle)

height = 13 cm  here

Volume = 13 cm * 52 sq. cm = 676 cubic cm

4 0
3 years ago
How do you solve this?
Katarina [22]
So hmm notice the first picture, that's the "inscribed angle theorem", as you'd know

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8 0
3 years ago
In Exercises 26-28, write an equation. Then solve.
saul85 [17]

Answer:

The temperature outside is  75.6°F

Step-by-step explanation:

We are given the following in the question:

The temperature of dry ice = - 109.3°F

Let x be the temperature outside in Fahrenheit.

It is given that the temperature of dry ice  is 184.9°F less than  the outside temperature.

Thus, we can write the equation:

x - 184.9 = -109.3

Solving, the above equation, we get:

x - 184.9 = -109.3\\x = -109.3 + 184.9\\x = 75.6

Thus, the temperature outside is  75.6°F

7 0
4 years ago
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
4 years ago
Germany, Italy, and Japan formed the Tripartite Pact in part because they:
SVETLANKA909090 [29]

Answer:

hoped to convince the United States to stay out of World War II

Explanation:

just took the quiz :)

7 0
3 years ago
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