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e-lub [12.9K]
3 years ago
9

The ratio of oil to vinegar in a salad dressing is 8:5.How much oil must blend with 7 liters of vinegar for that recipe?

Mathematics
2 answers:
sukhopar [10]3 years ago
7 0
Set it up in a proportion.

8 (oil)/5 (salad dressing) = x/7
cross multiply to get 11.2
Nuetrik [128]3 years ago
5 0
8/5=x/7
(8*7)=5x
56=5x
56/5=5x/5
11.2 liters of oil=x

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If m = -2 and p=3, then (4p-m)/mp is
ddd [48]

Answer:

-2  <em>1/3</em>

Step-by-step explanation:

((4 * 3) - (-2) /(-2*3)

(12 + 2 ) / (-2 * 3)

14 / -6

-2  <em>1/3</em>

7 0
2 years ago
A right angled triangle has sides of length 9cm, 12cm and 15cm. Calculate its area in square centimetres.
Dmitriy789 [7]

The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.

The formula to calculate the area of a right triangle is given by:

Area of Right Triangle, A = (½) × b × h square units

Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.

We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.

Given sides of the triangle:

a=9cm

b=12cm

c=15cm

From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.

∴Area = \frac{1}{2} x 9 x 12

= 54cm^{2}

5 0
1 year ago
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The exp
Dvinal [7]

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

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8 0
3 years ago
PLZ HELP!!!!!!!!!!!!!!!!!!
Inessa05 [86]

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= -6x^2+100x-180

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$

= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$

= \frac{-100\pm\sqrt{5.680}}{-12}$

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= \frac{24.6342}{-12}

x^1 = -2.05285

Now

x^2  = \frac{-100 - 75.3658}{-12}$

= \frac{- 175.3658}{-12}

x^2 = 14.6138

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4 0
3 years ago
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pshichka [43]
Refraise the question
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3 years ago
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