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3 years ago

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400 ml squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?give your answer in its simples

t form.

1 answer:

Tasya [4]3 years ago

5 0

squash = cordial + water

400 ml = 50 ml + x ml

350 ml = x ml

Therefore, 350 ml are water.

350 ml / 400 ml = 0.875 = $\frac{350}{400} = \frac{35}{40} = \frac{7}{8}$

So the answer is 7 / 8

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The area of the triangle formed by points of intersection of parabola y=a(x−3)(x+2) with the coordinate axes is 10. Find a if it

ICE Princess25 [194]

Answer: a = 4

Step-by-step explanation: Area of a triangle is calculated as: $A_{t}=\frac{b.h}{2}$ .

The triangle formed by the parabola has base (b) equal to the distance between the points where the graph touches x-axis and height (h) is the point where graph touches the y-axis.

The points on the x-axis are the roots of the quadratic equation:

a(x-3)(x+2)=0

(x-3)(x+2)=0

x - 3 = 0

x = 3

or

x + 2 = 0

x = -2

So, base is the distance between (-2,0) and (3,0).

Since they are in the same coordinate, distance will be:

b = 3 - (-2)

b = 5

Area of the triangle is 10. So constant a is

$10=\frac{5.a}{2}$

5a = 10.2

a = 4

The constant a of the function y = a(x-3)(x+2) is 4.

7 0

2 years ago

The GRE is an entrance exam that most students are required to take upon entering graduate school. In 2014, the combined scores

Ede4ka [16]

$\mathbb P(286$
$\mathbb P(286$

The empirical rule says that approximately 68% of any normal distributed data set lies within one standard deviation of the mean.

$\mathbb P(-2$
$\implies\mathbb P(-2$

The same rule states that about 95% lies within two standard deviations of the mean. Using this rule, and the fact that any normal distribution is symmetric about its mean, you have

$\mathbb P(-2$
$0.95=2\mathbb P(-2$
$\implies\mathbb P(-2$

$\implies\mathbb P(-2$

8 0

3 years ago

List the first three multiples of both 3 and 9.

tia_tia [17]

Answer:

9,18 and 27

hope this helps u

8 0

3 years ago

Read 2 more answers

Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?

Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=40\ \$/h\\b=\$25$

substitute

$y=40x+25$

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0

3 years ago

Brent decorated 1/6 of his sugar cookies with blue frosting 1/4 with yellow frosting and 3/8 with purple frosting which frosting

velikii [3]

If you look at the denominators, they all have a common number they can all multiply into: 24. If you multiply each number in the fraction so that the denominator equals 24, you get this:
1/6 x 4 = 4/24
1/4 x 6 = 6/24
3/8 x 3 = 6/24

Therefore, blue frosting (1/6) is used the least.

Hope this helps:

3 0

2 years ago