All categories

3 years ago

A secretary can type 12 pages per hour. There are a total of 152 pages to type. How many pages remain to be typed after 9 hours?

1 answer:

4 0

So, she can type 12 pages in 1 hour, how many would she type in 9 hours then? let's check,

$\bf \begin{array}{ccll}
pages&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
12&1\\
p&9
\end{array}\implies \cfrac{12}{p}=\cfrac{1}{9}\implies \cfrac{12\cdot 9}{1}=p$

so in 9 hours, she has that typed that many pages, how many pages remain from the 152? well 152 - p.

You might be interested in

Just number 18 please

nikdorinn [45]

Answer:

Please put the answer horizontal how it is makes my head hurt

Step-by-step explanation:

5 0

3 years ago

What is the surface area of the figure?<br> 240<br> 48<br> 192

Ulleksa [173]

Answer:

240 cm²

Step-by-step explanation:

We are required to determine the surface area of the figure;

To get the area we add the are of all the surfaces;

Area of triangle;

Area = 0.5 × b × h

There are two triangles;

Therefore;

Area of the two triangles;

Area = 0.5 × 6 × 8 × 2

= 48 cm²

Area of the rectangles;

Area of a rectangle = Length × width

Area of the first rectangle;

= 6 cm × 8 cm

= 48 cm²

Area of the second rectangle

= 8 cm × 8 cm

= 64 cm²

Area of the third rectangle

= 10 cm × 8 cm

= 80 cm²

The total surface area will be;

Area = 48 cm² + 48 cm² + 64 cm² + 80 cm²

= 240 cm²

6 0

3 years ago

For the polynomial 6xy2 – 5x2y? + 9x2 to be a trinomial with a degree of 3 after it has been fully simplified, the missing expon

Karolina [17]

Consider the polynomial $6xy^2-5x^2y^?+9x^2$ .

For this polynomial to be trinomial with a degree of 3. We have to identify the missing exponent of the 'y' term.

Let the missing exponent of the 'y' term be 0

So, the polynomial will be $6xy^2-5x^2y^0+9x^2$

= $6xy^2-5x^2+9x^2$

= $6xy^2+4x^2$ which is not a trinomial, which is a binomial.

So, the missing exponent of 'y' can'not be zero.

Let the missing exponent of the 'y' term be 2

So, the polynomial will be $6xy^2-5x^2y^2+9x^2$

= $6xy^2-5x^2y^2+9x^2$

= $6xy^2-5x^2y^2+9x^2$ which is a trinomial of degree 4.

So, the missing exponent of 'y' can'not be '2'.

If we will take the missing exponent of 'y' more than 2, than the degree of the given polynomial will not be 3 anymore.

Let the missing exponent of the 'y' term be 1

So, the polynomial will be $6xy^2-5x^2y^1+9x^2$

= $6xy^2-5x^2y+9x^2$

= $6xy^2+4x^2$ which is a trinomial of degree 3

So, the missing exponent of 'y' is 1.

7 0

3 years ago

Read 2 more answers

If f(x) = 4x + 2 and g(x) = 2x – 7<br> find f(g(3)).

antiseptic1488 [7]

Answer:

-2

Step-by-step explanation:

g(3)= 2(3)-7

g(3)= 6-7

g(3)= -1

f(g(3))= 4(-1)+2

f(g(3))= -4+2

f(g(3))= -2

6 0

2 years ago

Read 2 more answers

In a class, 45 students are taking the SAT exam.The number of boys is 9 more than the number of girls.How many girls and boys ar

maxonik [38]

The equation would be
g + (g + 9) = 45
2g + 9 = 45
- 9
2g = 36
÷ 2
g = 18
18 + 9 = 27
Girls: 18
Boys: 27
Hope this helps! Let me know if you have any questions :)

7 0

3 years ago