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3 years ago

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The height of 6 pictures placed end to end on a bulletin board is 57 centimeters. All of the pictures are the same height. How t

all is each picture? *
A 9.5 cm
B 7.6 cm
C 10.4 cm
D 8.9 cm

1 answer:

MariettaO [177]3 years ago

4 0

Answer:

9.5

Step-by-step explanation:

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A catering service offers 7 appetizers, 3 main courses, and 5 desserts. A customer is to select 4 appetizers, 2 main courses, an

algol13

This question is based on combinations

Out of 7 appetizers, 4 are to be selected, this becomes = 7C4

Out of 3 main courses, 2 are to be selected , this is = 3C2

Out of 5 desserts, 4 are to be selected, this is = 5C4

So, total ways become =

7C4 * 3C2 * 5C4

7!/4!(7-4)! * 3!/2!(3-2)! * 5!/4!(5-4)!

= 35*3*5 =525 ways

Hence, this can be done in 525 ways.

3 0

3 years ago

Write in slope intercept form<br><br> 2y+x=1

irga5000 [103]

Answer:

y = -x/2 + 1/2 or

y = -1/2 x + 1/2

(these are equivalent)

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

So we have to get the y all by itself on the left.

2y + x = 1

Subtract x from both sides.

2y = 1 - x

Divide both sides by 2. Divide all the terms by 2.

2y/2 = 1/2 - x/2

Simplify.

y = 1/2 - x/2

Rearrange the terms on the right side so that the x term is first and the constant is last.

y = -x/2 + 1/2

I think this is a good, reasonable and correct answer. But maybe you really want to see that m number (the slope) out in front of the x. Then you can write is as:

y = -1/2 x + 1/2

5 0

3 years ago

Read 2 more answers

PLEASE ANYBODY HELP ME PLEASE I BEG OF YOU!!! PLEASE WILL GIVE BRAINLIEST

muminat

Answer:

Paper route earnings each week=($87.8-$37.8) / 10 =$5

If $5=20% we have to find how money is the 100%.

$5-----------------20%

x------------------100%

x=($5*100%) / 20%=$25

solution: $25.00

Step-by-step explanation:

5 0

3 years ago

Which scenario is a better deal, show work. Levi jeans at regularly priced at $80 discounted for 20%. OR Macy's same jeans price

eimsori [14]

20% = 0.80
80 x .80 = $64

15% = 0.85
10% = 0.90

95 X .85 = 80.75
80.75 X 0.90 = $72.68

Levis jeans at regular price is the better deal

8 0

4 years ago

Read 2 more answers

A large fish tank at an aquarium needs to be emptied so that it can be cleaned. When its

VikaD [51]

Answer:

The draining time when only the big drain is opened is 2.303 hours.

The draining time when only the small drain is opened is 5.303 hours.

Step-by-step explanation:

From Physics, we know that volume flow rate ( $\dot V$ ), measured in liters per hour, is directly proportional to draining time ( $t$ ), measured in hours. That is:

$\dot V \propto \frac{1}{t}$

$\dot V = \frac{k}{t}$ (Eq. 1)

Where $k$ is the proportionality constant, measured in liters.

From statement, we have the following three expressions:

(i) <em>Large and small drains are opened</em>

$\dot V_{s}+\dot V_{l} = \frac{k}{2}$ (Eq. 2)

$\frac{\dot V_{s}+\dot V_{l}}{k} = \frac{1}{2}$

(ii) <em>Only the small drain is opened</em>

$\dot V_{s} = \frac{k}{t_{l}+3}$ (Eq. 3)

$\frac{\dot V_{s}}{k} = \frac{1}{t_{l}+3}$

(iii) <em>Only the big drain is opened</em>

$\dot V_{l} = \frac{k}{t_{l}}$ (Eq. 4)

$\frac{\dot V_{l}}{k} = \frac{1}{t_{l}}$

By applying (Eqs. 3, 4) in (Eq. 2) and making some algebraic handling, we find that:

$\frac{1}{t_{l}+3}+\frac{1}{t_{l}} = \frac{1}{2}$

$\frac{t_{l}+t_{l}+3}{t_{l}\cdot (t_{l}+3)} = \frac{1}{2}$

$2\cdot t_{l}+3 = t_{l}^{2}+3\cdot t_{l}$

$t_{l}^{2}-t_{l}-3 = 0$ (Eq. 5)

Whose roots are determined by the Quadratic Formula:

$t_{l,1}\approx 2.303\,h$ and $t_{l,2} \approx -1.302\,h$

Only the first roots offers a solution that is physically reasonable. Hence, the draining time when only the big drain is opened is 2.303 hours. And the time needed for the small drain is calculated by the following formula:

$t_{s} = 2.303\,h+3\,h$

$t_{s} = 5.303\,h$

The draining time when only the small drain is opened is 5.303 hours.

7 0

3 years ago