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Kipish [7]
2 years ago
5

Solve the proportion: A printer can print 11 color pages in 2 minutes. How many color pages can the printer print in 7 minutes?

Mathematics
1 answer:
Natali [406]2 years ago
3 0

Answer:

38.5 pages

Step-by-step explanation:

11pages:2mins

x pages: 7 mins

you need to divide 7 by 2 and get 3.5, then multiply 3.5 by 11 and receive 38.5

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Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in hours?
defon
4.5 miles in 1 hour
7 0
2 years ago
The garden has 20 rows of crops and one half of the rows are planted with corn. How many rows are planted with corn?
max2010maxim [7]
20 x 1/2 = 10

There are 10 rows that are planted with corn.
3 0
3 years ago
Read 2 more answers
Help please!! Solve for y.
Nimfa-mama [501]

Answer:

y = 3\sqrt{7}

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

\frac{y}{9} = \frac{7}{y} ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = \sqrt{63} = 3\sqrt{7}

7 0
2 years ago
Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos run
Amanda [17]

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

7 0
2 years ago
F(x)=x^2-5 and g(x)=3x+1 then f(g(2))
LuckyWell [14K]

Answer:

f(g(2)) = 44

Step-by-step explanation:

g(2) = 3(2) + 1 = 7

Plug 7 into f(x) since g(2) = 7

f(7) = 7² - 5 = 44

f(g(2)) = 44

8 0
3 years ago
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