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3 years ago

5

A soup recipe calls for 3 chopped onions. You want to make 1/5 of the recipe. How many onions will you need? Which proportion wi

ll give the correct answer?

1 answer:

Leya [2.2K]3 years ago

8 0

Answer:

3/5, 1 onion,

Step-by-step explanation

1/5 x 3

You might be interested in

If x/8 =5/4 then x=10 true false

galina1969 [7]

Answer:

true

Step-by-step explanation:

given

$\frac{x}{8}$ = $\frac{5}{4}$ ( cross- multiply )

4x = 40 ( divide both sides by 4)

x = 10

3 0

3 years ago

Circular tracts of land with diameters 900 meters, 700 meters and 600 meters are tangent to each other externally. There are hou

Rudik [331]

Answer:

$\alpha=69.28^o$

$\beta=61.26^o$

$\gamma=49.46^o$

<em /> $A=227980.26\ m^2$ <em />

Step-by-step explanation:

<u>Triangle Solving</u>

If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.

The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are

$x=450+350=800$

$y=450+300=750$

$z=350+300=650$

The internal angles can be computed by using the cosine's law

$x^2=y^2+z^2-2yzcos\alpha$

$y^2=x^2+z^2-2xzcos\beta$

$z^2=x^2+y^2-2xycos\gamma$

Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:

$\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}$

$\displaystyle cos\alpha=\frac{750^2+650^2-800^2}{2\cdot 750\cdot 650}$

$cos\alpha=0.3538$

$\alpha=69.28^o$

Similarly

$\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}$

$\displaystyle cos\beta=\frac{800^2+650^2-750^2}{2\cdot 800\cdot 650}$

$cos\beta=0.4808$

$\beta=61.26^o$

The other angle is computed now

$\displaystyle cos\gamma=\frac{x^2+y^2-z^2}{2xy}$

$\displaystyle cos\gamma=\frac{800^2+750^2-650^2}{2\cdot 800\cdot 750}$

$cos\gamma=0.65$

$\gamma=49.46^o$

The area can be found by

$\displaystyle A=\frac{1}{2}x.y.sin\gamma$

$\displaystyle A=\frac{1}{2}\cdot 800\cdot 750\cdot sin49.46^o$

$A=227980.26\ m^2$

8 0

3 years ago

You and a friend have dinner at a restaurant . Your meal costs $15.85 and you leave an 18% tip and your friend's meal cost $14.3

sammy [17]

1.54$ that’s the difference

7 0

4 years ago

Evaluate the following expression. “12 more than 5”

Sonbull [250]

When you evaluate the expression “12 more than 5” you would get the product of 60.

5 0

3 years ago

Mike and Andre want to equally share 46 feet of rope. What amount of rope should each person get? A. 13 B. 36 C. 12 D. 16

Dmitry_Shevchenko [17]

Answer:

23 feet

Step-by-step explanation:

According to the scenario, computation of the given data are s follows,

Total rope = 46 feet

Number of person = 2

So, we can calculate the amount of rope each person get by using following formula,

Each person quantity = Total rope ÷ Number of person

By putting the value in the formula, we get

Each person quantity = 46 feet ÷ 2

= 23 feet

Hence, each person gets 23 feet of rope.

3 0

3 years ago