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3 years ago

15 less then then the product of five and x

Mathematics

2 answers:

kykrilka [37]3 years ago

7 0

Yes 5x-15 is the correct equation !!!

sweet-ann [11.9K]3 years ago

4 0

Answer:

5x - 15

Step-by-step explanation:

Product of five and x is 5x.

15 less then then the product of five and x

= 5x - 15

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A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t

pentagon [3]

Answer:

$P(R\ and\ B) = 0.0256$

Step-by-step explanation:

Given

$Red = 22$

$Yellow = 38$

$Green = 20$

$Purple = 28$

$Blue = 26$

$Orange = 16$

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

$P(R\ and\ B) = P(R)\ and\ P(B)$

This is then solved further as:

$P(R\ and\ B) = P(R)\ *\ P(B)$

$P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}$

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

$P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}$

$P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}$

$P(R\ and\ B) = \frac{22*26}{150*149}$

$P(R\ and\ B) = \frac{572}{22350}$

$P(R\ and\ B) = 0.02559284116$

$P(R\ and\ B) = 0.0256$

3 0

3 years ago

Capellas footwear has a monthly fixed cost of 2,400.it costs capellas $7.5 to produce each pair of shoes it sells. Write an expe

mel-nik [20]

Answer:

C(x) = 7.5k + 2400 is the expense equation.

Step-by-step explanation:

The fixed cost per month = $2,400

Cost of producing each shoe = $7.5

Here, let k be the number of shoes produced per month .

So, the monthly expense

= Fixed Cost + (Number of shoes produced per month x Cost per shoe)

or, C(x) = $2,400 + ( k x $7.5)

or, C(x) = 7.5k + 2400 is the expense equation.

6 0

3 years ago

1+cos2A /1-cos2A=cotA.cotA

Allisa [31]

Answer:

See Explanation

Step-by-step explanation:

$formulae \: to \: be \: used : \\ \cos 2 \theta = 2 { \cos}^{2} \theta - 1 \\ and \\ \cos 2 \theta = 1 - 2 { \cos}^{2} \theta \\ \\ now \: let \: us \: prove \: the \: given \: trigonometrical \: \\ identity. \\ \\ \frac{1 + \cos2A}{1 - \cos2A} = \cot \: A. \cot \: A \\ LHS = \frac{1 + \cos2A}{1 - \cos2A} \\ \\ = \frac{1 +2 { \cos}^{2} A- 1 }{1 - (1 - 2 { \sin}^{2} A)} \\ \\ = \frac{1 +2 { \cos}^{2} A- 1 }{1 - 1 + 2 { \sin}^{2} A} \\ \\ = \frac{2 { \cos}^{2} A }{2 { \sin}^{2} A} \\ \\ = \frac{{ \cos}^{2} A }{ { \sin}^{2} A} \\ \\ = { \cot}^{2} A \\ \\ = { \cot} A .{ \cot} A \\ \\ = RHS \\ \\ hence \: proved.$

6 0

3 years ago

7/9 converted to a decimal long divsion

lana66690 [7]

Hey there!

To convert a faction to a decimal, you need to divide the numerator (top number) to the denominator (bottom number)

7/9

= 7 ÷ 9

= 0.777777777777778

Therefore, your answer is: 0.777777777777778

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

6 0

3 years ago

The area of a triangular flower bed in the park has an area of

blagie [28]

Answer:

b = 24 ft

h = 10 ft

Step-by-step explanation:

120 = ½hb

120 = ½h(3h - 6)

240 = h(3h - 6)

240 = 3h² - 6h

80 = h² - 2h

0 = h² - 2h - 80

0 = (h - 10)(h + 8)

h = 10 ft or -8 ft

we ignore -8 as it makes no sense for a triangle side length.

b = 3(10) - 6 = 24 ft

8 0

2 years ago