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2 years ago

⦁ A local pizzeria sold 75 pizzas yesterday.

Mathematics

1 answer:

rodikova [14]2 years ago

8 0

Answer:

a. 90 pizzas

b. 12% decrease

Step-by-step explanation:

To receive a bonus, there must be 20% increase in the number of pizzas

Thus;

20% of 75 = 20/100 * 75 = 1500/100 = 15

So the number of pizza to be sold to receive the bonus will be 15 + 75 = 90

So now, we have 66 pizza sold today;

We can see that there was a decrease from 75

Percentage decrease will be;

(new value - old value)old value * 100%

= (66-75)/75 * 100%

= -9/75 * 100%

= -0.12 * 100% = -12%

This shows a 12% decrease

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Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

$h = \sqrt{ {p}^{2} + {b}^{2} }$

Put all values.

$h = \sqrt{ {24}^{2} + {10}^{2} }$

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ANS: OPTION A.

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2 years ago

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Step-by-step explanation:

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Step-by-step explanation:

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How do you find DE, Round to nearest 10th

Sergeu [11.5K]

Answer: $DE\approx6.0$

Step-by-step explanation:

Observe in the figure given in the exercise that four right triangles are formed.

In this case you can use the following Trigonometric Identity to solve this exercise:

$cos\alpha=\frac{adjacent}{hypotenuse}$

From the figure you can identify that:

$\alpha =53\°\\\\hypotenuse=10\\\\adjacent=BE=DE$

Then, you can substitute values:

$cos(53\°)=\frac{DE}{10}$

The next step is to solve for DE in order to find its value. This is:

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3 years ago

A merchant bought some shirts for $120. The next day the price charged for each shirt was reduced by $1. The merchant calculated

Goshia [24]

Answer:

The merchant buys 30 shirts originally.

Step-by-step explanation:

Let us assume that the merchant bought x numbers of shirts in $120.

So, the cost for each shirt is $ $\frac{120}{x}$ .

Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.

So, we can write the following equation as

$(\frac{120}{x} - 1)(x + 10) = 120$

⇒(120 - x)(x + 10) = 120x

⇒ 120x - 10x + 1200 - x² = 120x

⇒ x² +10x - 1200 = 0

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⇒ x = - 40 or x = 30

But x can not be negative.

Hence, the merchant buys 30 shirts originally. (Answer)

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2 years ago