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3 years ago

At Joe's Pizzeria, small pizzas cost $7.50, and large pizzas cost

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

5 0

Answer:

Option B. 44 is the correct answer

Step-by-step explanation:

Let l be the number of large pizzas and s be the number of small pizzas

Then according to the given statement the equations will be:

$l+s = 100\ \ \ Eqn\ 1\\11l+7.5s = 848\ \ \ Eqn\ 2$

From equation 1

$l = 100-s$

Putting in equation 2

$11(100-s)+7.5s = 848\\1100-11s+7.5s = 848\\-3.5s+1100 = 848\\-3.5s = 848-1100\\-3.5s = -252\\\frac{-3.5s}{-3.5} = \frac{-252}{-3.5}\\s = 72$

Putting s=72 in equation 1

$l+72 = 100\\l = 100-72\\l = 28$

How many more small pizzas means we have to find s-l

So,

s-l = 72-28 = 44

Hence,

Option B. 44 is the correct answer

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Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of th

joja [24]

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

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3 years ago

Solve -17 = x/-3 for x.

MA_775_DIABLO [31]

Answer:

x = 51

Step-by-step explanation:

-17 = x/-3

Multiply each side by -3

-3 * -17 = x / -3 * -3

51 = x

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3 years ago

Read 2 more answers

Write 0.24 as a fraction in simplest form

guapka [62]

The answer is 24/100

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3 years ago

The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write

a_sh-v [17]

Answer:

Perimeter of rectangle:

$(4x - 14)\text{ feet}$

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

$x\text{ feet}$

Width of rectangle:

$(x-7)\text{ feet}$

Perimeter of rectangle:

$2\times \text{(Length + Width)}$

Expressions to calculate perimeter

$1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}$

The attached image shows the image of the rectangle.

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3 years ago

line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image

Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

$(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)$

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

$(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)$

$(0,-4)\rightarrow (0, 6)$

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6

5 0

3 years ago