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3 years ago

What is 2a+3b=5 B=a-5?

Mathematics

1 answer:

galben [10]3 years ago

4 0

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5. Then, distribute 3 into a - 5 to get 3a - 15 when expanded. Combine the two like terms 2a and 3a to get 5a. Then, add 15 on both sides to get to this equation which is 5a = 20. Divide 5 on both sides to get your a-value which is 4.

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To rent a bicycle at the beaches there is an initial fee of $12 for each hour the bicycle is rented there's an additional $5 fee

Bingel [31]

Initialfee+variablefee=total
initialfee=12
variaablefeet=hours times 5

total=27
27=12+5 times hours
minus 12 both sides
15=5 times hours
divide both sides by 5
3=hours

rented 3 hours

3 0

3 years ago

Based on a survey of U.S. residents completed in 2014, ___________ percent of respondents agreed that global warming is occurrin

Daniel [21]

Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.

<h3>What is a percentage?</h3>

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

$P = \frac{a}{b} \times 100\%$

In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:

$P = \frac{520}{1000} \times 100\% = 52\%$

More can be learned about the percentage concept at brainly.com/question/10491646

3 0

2 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

Greeley [361]

Answer:

The original duration of the tour is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

$D \times T=360$

$D = \frac{360}{T}$ -------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

$(D + 4) \cdot(T -3) = 360$ ---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372$

$360 - ( \frac{1080}{T}) + 4T= 372$

$( \frac{1080}{T}) + 4T= 372 - 360$

$( \frac{1080}{T}) + 4T= 12$

$1080 + 4T^2= 12T$

Solving the quadratic equation we get

T = 18 and T = -15

T is the number of gays and it cannot be negative , hence T is 18

Substituting in equation (1) we get

$D = \frac{360}{18}$

D = 20

4 0

3 years ago

Solve the equation by completing the square. Round to the nearest hundredth if necessary? X^2+3x=24

Genrish500 [490]

X^2+3x=24, halve the linear coefficient, square it, and add it to both sides

In this case (3/2)^2=2.25

x^2+3x+2.25=26.25 now the left side is a perfect square...

(x+1.5)^2=26.25 take the square root of both sides

x+1.5=±√26.25 subtract 1.5 from both sides

x=-1.5±√26.25

x=-1.5-√26.25 and -1.5+√26.25

x≈ -6.62 and 3.62

6 0

3 years ago

An organic farmer buys a piece of land seed plants tomatoes on 5/9 of the land and green beans on 1/12 of the of the land she pl

tino4ka555 [31]

Find how much is reamaining
remaining=1-used
used=tomatoes+beens
used=5/9+1/12

5/9 times 12/12=60/108
1/12 times 9/9=9/108
used=60/108+9/108
used=69/108
used=23/36

1-23/36=
36/36-23/36=
13/36

answer is 13/36

5 0

3 years ago

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