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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.

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Hat is the surface area of a sphere with a diameter of 16 cm

Ludmilka [50]

The surface area of a sphere of radius r is A = 4π*r^3.

Since the radius in this case is 8 cm (half the 17 cm diameter), the area of this sphere is

A = 4π(8 cm)^2, or 256π cm^2.

3 0

3 years ago

Please help me for the brainliest answer

TiliK225 [7]

Answer:

$n^2+3\\(n+1)^2$

Step-by-step explanation:

$n^2+3\\1^2+3=4\\2^2+3=7\\3^2+3=12$

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4 years ago

Suppose the test scores of students in a class are normally distributed with a mean of 85 and a standard deviation of 4. What is

UkoKoshka [18]

Answer:

Step-by-step explanation:

Converting it to z, we can use the formula of z-score:

z-score = $\frac{x-\mu}{\sigma}$

Where

x is the value we are checking for (here, x = 79)

$\mu$ is the mean, which is 85

$\sigma$ is the standard deviation, which is 4 now

Let's plug the information into the formula and solve for the answer:

$\frac{x-\mu}{\sigma}\\\frac{79-85}{4}\\-\frac{6}{4}\\-1.5$

B is the correct answer.

7 0

4 years ago

Segment RS and segment ST below are congruent. Set up ban equation to find the value of x

borishaifa [10]

Answer:

x = 11

Step-by-step explanation:

If the segments are congruent then

3x = x + 22 ➡ 3x - x = 22

2x = 22 divide both sides by 2

x = 11

3 0

3 years ago

Please help me.

True [87]

Not sure if y-2x=10 or y-2x=-10

I'll solve both
later you will see that 10 or -10 is irrelevant

find slope first since perpendicular lines have slopes that multiply to -1
the slope from form ax+by=c is -a/b
-2x+y=?
slope=-(-2)/1=2

perpendicualr
2 times what=-1
what=-1/2

y=mx+b
m=slope
we know slope is -1/2
y=-1/2x+b
find b
subsitut eht point (9,-5)
(x,y)
x=9 and y=-5
-5=-1/2(9)+b
-5=-9/2+b
add 9/2 to both sides
-1/2=b

the equation is
y=-1/2x-1/2

8 0

4 years ago