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never [62]
4 years ago
12

a vegetable farmer fills 2/3 of a crate with 5/7 of a pound of tomatoes. how many lbs can fit in one crate​

Mathematics
2 answers:
OLga [1]4 years ago
8 0

Answer:

\huge\boxed{\sf 1 \ crate = \frac{15}{14} \ lbs}

Step-by-step explanation:

\sf \frac{2}{3}\  of \ a\ crate = \frac{5}{7} \ of \ a\ pound \\\\We \ need \ to \ find\ the \ weight \ of \ one \ crate\\\\So, Multiplying \ both \ sides \ by \ the\ reciprocal \ of \ \frac{2}{3} \ i.e. \frac{3}{2} \\\\1 \ crate = \frac{5}{7} * \frac{3}{2} \ lbs\\\\1 \ crate = \frac{5*3}{7*2} \ lbs\\\\1 \ crate = \frac{15}{14} \ lbs

solmaris [256]4 years ago
3 0

Answer:

1 1/14 lbs

Step-by-step explanation:

We can use ratios to solve

2/3 crate        1 crate

----------------- = -----------------

5/7 lb                 x lbs

Using cross products

2/3x = 5/7 *1

Multiply each side by 3/2

3/2 * 2/3 x = 3/2 * 5/7

x = 15/14

x = 1 1/14

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From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees. How far is the ship from th
sergij07 [2.7K]

Answer:

84.89 feets

Step-by-step explanation:

The solution triangle attached below :

The distance between base of lighthouse and ship, d, can be calculated using trigonometric relation :

Tan θ = opposite / Adjacent

Tan 23 = d / 200

d = 200 * tan23°

d = 84.89 feets

3 0
3 years ago
Write the following equation in slope intercept form.<br><br> 7x-4y=22<br><br> y= x+
Finger [1]

Answer:

y= -7x+22/-4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Rewrite in the form . Then find q(x) and r(x).
gizmo_the_mogwai [7]

Answer:

q(x)= 2x+5

r(x)=6

b(x)=x+4

Step-by-step explanation:

I have found what is missing in your question: Rewrite 2x^2+13x+26/x+4 in the form q(x)+r(x)/b(x).

First, we have to divide the polynomial  by x+4 and remember that is x times 2x.

By multiplying this we are going to get 2x^{2} + 8x and now we are doing separation of it and getting 2x^{2}  + 13x + 26 and getting 2x^{2}  + 13x + 26/ x + 4 = 2x^{2} +8x/x+4=5x+26/x+4=2x + 5x+26/x+4

Because 5 is showing x times 5 we are going to multiply (x + 4) with 5 and that is 5x + 20.

5x+26/x+4 = 5x + 20/x+4 = 6/ x+4=5 + 6/x+4

Now when we can get more simplified we are having:

2x^{2} +13+26/x+4=2x + 5= 6/x+4

3 0
4 years ago
A car uses 30 gallons of gasoline for a trip of 800 miles. How many gallons would
atroni [7]

Quantity of gasoline needed by a car to run 800 miles = 30 gallons

Quantity of gasoline needed by a car to run 1 mile =

= 30 ÷ 800

= 0.0375 gallons

So , to run 1 mile a car would need = 0.0375 gallons of oil

To run 700 miles the quantity of gasoline needed =

= 700 × 0.0375

= 26.25 gallons of gasoline

Therefore , a car will use 26.25 gallons of gasoline on a trip of 700 miles .

6 0
4 years ago
Read 2 more answers
Yoooyoyooyoyoyoyoyoyoyooyo help
faltersainse [42]

Answer:

Step-by-step explanation:

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7 0
3 years ago
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