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3 years ago

8

A bakery sold 36 vanilla cupcakes in a day, which was 45% of the total number of cupcakes sold that day. How many total cupcakes

did the bakery sell that day?

1 answer:

jonny [76]3 years ago

4 0

Answer:

80

Step-by-step explanation:

36/45 times 100 is 80.

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Identify the square root of 3 as either rational or irrational, and approximate to the tenths place.

BigorU [14]

Answer:

the square root of 3 is irrational.

$\sqrt{3}=1.732050808....\\$

about 1.73

6 0

3 years ago

A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What

8_murik_8 [283]

Answer:

the volume of sand is $50 ft^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

$Length l= 4 ft Width w= 5ft\\Height h = 3ft$

if the sandbox is filled with sand of $2\frac{1}{2 } ft$ deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have $2\frac{1}{2} = \frac{5}{2}$

the expression for the volume of a rectangular prism is

$volume of sand = length * width* height$

substituting our data into the expression we have

$volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}$

5 0

3 years ago

How to find the number of sides of a polygon when given the interior angle sum

wariber [46]

Given:

Sum of interior angle

To find:

Number of sides of a polygon

Solution:

Using sum of interior angles formula:

$$S=(n-2) \times 180^{\circ}$

where "S" is the sum of interior angels and "n" is the number of sides of a polygon.

Divide by 180° on both sides.

$$\frac{S}{180^{\circ}}=\frac{(n-2) \times 180^{\circ}}{180^{\circ}}$

Cancel common factor 180°.

$$\frac{S}{180^{\circ}}=n-2$

Add 2 on both sides.

$$\frac{S}{180^{\circ}}+2=n-2+2$

$$\frac{S}{180^{\circ}}+2=n$

Switch the sides.

$$n=\frac{sum}{180^{\circ}}+2$

Therefore number of sides of a polygon is $n=\frac{sum}{180^{\circ}}+2$ .

3 0

3 years ago

Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she

sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

So

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x = x²+ 4 - 4 x

(x-2)² = x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² = x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

8 0

3 years ago

What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linea

Triss [41]

Answer:

D. "If the graph of two variables is not a linear function, then the two variables are not directly proportional"

Step-by-step explanation:

The contrapositive of a statement is basically you changing the conditional part of the statement with its result and then finding the negative of both. This is called Contraposition.

So, for the statement given:

"If two variables are directly proportional, then their graph is a linear function."

The contrapositive will be:

"If the graph of two variables is not a linear function, then the two variables are not directly proportional"

7 0

3 years ago