Ask question

Ask question

All categories

tino4ka555 [31]

4 years ago

11

9. AJ is buying rulers and erasers at an office supply store. Rulers cost $1.15 and erasers cost $.39. He can spend up to $11 on

these items. Let x represent the number of rulers. Let y represent the number of pens. What is an inequality that represents the situation?

1 answer:

Darya [45]4 years ago

3 0

An inequality could be 11 ≥ 1. 15x +.39y

You might be interested in

Please help! :)

Volgvan

Answer:

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

Step-by-step explanation:

Given:

Area of Shaded part = 9 π square feet

To Find :

Area of Circle = ?

Solution:

90 degree center angle is equivalent to an area of 9 Π square feet

So, 360 degree center is equivalent to area A which is the area of the complete circle.

So the Ratio will be

$\dfrac{90}{9\pi} =\dfrac{360}{A}$

Setting the given statements in proportion:

$\dfrac{90}{9\pi} =\dfrac{360}{A}$

On solving we get the required

$\dfrac{9\pi}{A} =\dfrac{90}{360}$

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

Alternate Method:

Shaded part is of 90°

Area of Shaded part = 9 π square feet

And Full Circle is of 360° that is 4 sector of 90°

$\textrm{Area of Circle}=4\times (Shaded\ part)$

$\textrm{Area of Circle}=4\times 9\pi$

$\textrm{Area of Circle}=36\pi$

So the correct option is First one

i.e $\dfrac{9\pi}{A}=\dfrac{90}{360}$

On solving this we get

$A=36\pi\ feet^{2}$

8 0

3 years ago

Please someone help I can’t this

kupik [55]

Answer:

When i took it i chose C and was right. I'm not sure if we use the same school but it was my answer. Hope it helps.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A consulting firm has received 2 Super Bowl playoff tickets from one of its clients. To be fair, the firm is randomly selecting

Soloha48 [4]

Answer:

Therefore the only statement that is not true is b.)

Step-by-step explanation:

There employees are 6 secretaries, 5 consultants and 4 partners in the firm.

a.) The probability that a secretary wins in the first draw

= $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secreataries}{total \hspace{0.1cm} number \hspace{0.1cm} of \hspace{0.1cm} employees} = \frac{6}{15}$

b.) The probability that a secretary wins a ticket on second draw. It has been given that a ticket was won on the first draw by a consultant.

p(secretary wins on second draw | consultant wins on first draw)

= $\frac{p((consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)\cap( secretary\hspace{0.1cm} wins\hspace{0.1cm} on second \hspace{0.1cm}draw))}{p(consultant \hspace{0.1cm} wins \hspace{0.1cm} on \hspace{0.1cm} first \hspace{0.1cm}draw)}$

= $\frac{\frac{5}{15} \times \frac{6}{14}}{\frac{5}{15} } = \frac{6}{14}$ .

The probability that a ticket was won on the first draw by a consultant a secretary wins a ticket on second draw = $\frac{6}{15}$ is not true.

The probability that a secretary wins on the second draw = $\frac{number \hspace{0.1cm} of \hspace{0.1cm} secretaries \hspace{0.1cm} remaining } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} remaining} = \frac{6 - 1}{15 - 1} = \frac{5}{14}$

c.) The probability that a consultant wins on the first draw =

$\frac{number \hspace{0.1cm} of \hspace{0.1cm} consultants \hspace{0.1cm} } { number \hspace{0.1cm} of \hspace{0.1cm} employees \hspace{0.1cm} } = \frac{5 }{15} = \frac{1}{3}$

d.) The probability of two secretaries winning both tickets

= (probability of a secretary winning in the first draw) × (The probability that a secretary wins on the second draw)

= $\frac{6}{15} \times \frac{5}{14} = \frac{1}{7}$

Therefore the only statement that is not true is b.)

5 0

3 years ago

NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the

Pie

Answer:

$x = 9.4$

$y = 17.7$

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

$tan \theta = \frac{opp}{adj}$

So, we have:

$tan\ 32= \frac{x}{15}$

Cross multiply:

$x =15*tan\ 32$

$x = 15 * 0.6248693519$

$x = 9.3730402785$

$x = 9.4$ --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

$cos \theta = \frac{adj}{hyp}$

So, we have:

$cos\ 32= \frac{15}{y}$

Cross Multiply:

$y * cos\ 32= 15$

Solve for y

$y = \frac{15}{cos\ 32}$

$y = \frac{15}{0.84804809615}$

$y = 17.6876760506$

$y = 17.7$ --- approximated

8 0

3 years ago

6th grade math help me pleaseeee

Anastasy [175]

Answer:

10 z

Step-by-step explanation:

Hope this helped :)

8 0

3 years ago