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3 years ago

Which proportion could be used to solve

Mathematics

1 answer:

Brums [2.3K]3 years ago

6 0

Answer:

Cups of carrot needed for 9 servings = 4.5 cups

Step-by-step explanation:

A recipe for sesame chicken calls for cup of chopped carrots

recipe 2 is for 4 servings

That is

2 cups of carrot = 4 servings

2 : 4

= 1 : 2

1 cup of carrot = 2 servings

how many cups of

carrots are needed for 9 servings?

Let x= number of carrot needed for 9 servings

1 : 2 = x : 9

1 /2 = x/ 9

Cross product

1*9 = 2*x

9=2x

Divide both sides by 2

9/2 = x

x= 4.5 Or 4 1/2

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Vonna scored 35 goals at soccer practice. Her ratio of goals to misses was 5:8. How many times did she miss?

Digiron [165]

Answer: She misses 56 times at a soccer practice.

Step-by-step explanation:

Let the goals she misses be 'x'.

According to the question:

$5:8::35:x$

These two ratios follow direct relationship, so:

$\frac{5}{8}=\frac{35}{x}\\\\5x=35\times 8\\\\x=\frac{280}{5}\\\\x=56$

Hence, Vonna misses 56 times at a soccer practice.

5 0

3 years ago

Find the equivalent expressions for (2+7)(x+1).

solong [7]

9x1

You would add 2+7 which =9 then x+1 that’s 1 so it would be 9x1

4 0

3 years ago

A triangle has ∠A, ∠B, and ∠C. ∠B is 20° more than ∠A. ∠C is double ∠B. How big is ∠A?

san4es73 [151]

Answer:

30°

Step-by-step explanation:

∠A + ∠B + ∠C = 180

∠B = ∠A + 20

∠C = 2 * ∠B

<A + (∠A + 20) + (2 * ∠B) = 180

<A + (∠A + 20) + (2 * (∠A + 20)) = 180

<A + (∠A + 20) + 2∠A + 40 = 180

4∠A + 60 = 180

4∠A = 120

∠A = 30

5 0

3 years ago

Read 2 more answers

Write a coordinate proof to prove that the segment that joins the vertex angle of an isosceles triangle to the midpoint of its b

Natalija [7]

Answer:

Slope of the base segment line is zero, hence base segment is horizontal

Slope of the segment that joins the vertex angle to the midpoint of its base is undefined hence the line is vertical

Therefore, angle between base segment line and the segment line from the vertex angle to the midpoint is perpendicular

Therefore, the segment that joins the vertex angle to an isosceles triangle to the midpoint of its base is perpendicular to the base

Step-by-step explanation:

Here we prove the required relation as follows;

Let the isosceles be ABC

The coordinates of the points are

C = (0, 0) (Vertex)

A = (-a, b)

C = (a, b)

P = (0, b) (Midpoint of base)

Therefore, the gradient or slope of the base AC is presented as follows;

$Slope, m \, of \. base, \, AC= \frac{dy}{dx} = \frac{b - b}{a - (-a)} = \frac{0}{2\cdot a} = 0$

Hence, segment AC is vertical

$Slope, m \, of \, segment \ CP \, joining \, vertex, \, to \, midpoint, P, on \,AC = \frac{0 - b}{0 - 0} = \frac{-b}{0} = Undifined.$

Hence, segment CP is vertical

Therefore, the segment that joins the vertex angle to an isosceles triangle to the midpoint of its base is perpendicular to the base.

6 0

3 years ago

Which number line shows the inequality 4x-3>-7

lisabon 2012 [21]

x>-1

Step-by-step explanation:

I don't see any number lines but it would be one with an open circle going right from -1.

5 0

3 years ago