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Norma-Jean [14]
3 years ago
14

Find the value of the expression -1/3-(-5/12).

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

1/12

Step-by-step explanation:

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A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total
julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

975 - 15y + 35y = 1475

20y = 14875 - 975

20y = 500

y = 25

Put y = 25 in (1)

x + y = 65

x + 25 = 65

x = 65 - 25

x = 40

6 0
3 years ago
Is the following true about the diagram below?
kari74 [83]
That statement is false. 
Angle e= angle g + angle h
8 0
3 years ago
During the exponential phase, E. coli bacteria in a culture increase in number at a rate proportional to the current population.
NikAS [45]

Answer:

  197.2 million

Step-by-step explanation:

The appropriate exponential equation for the population is ...

  p(t) = 172.0e^(0.019t)

Then we can compute for t=7.2:

  p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2

7.2 minutes from now, the population will be about 197.2 million.

___

For continuous growth (or continuous compounding), the exponential formula is ...

  f(t) = (value at t=0)×e^(rt)

where r is the growth rate in one unit of time, and t is the number of time periods.

8 0
3 years ago
(iii) (3x + 4)(3x - 5)
kiruha [24]

Answer:

x_{1}=-\frac{4}{3}\\x_{2}=\frac{5}{3}\\

Step-by-step explanation:

(3x+4)(3x-5)=9x^{2} -15x+12x-20=9x^{2} -3x-20\\\\9x^{2} -3x-20=0\\\\D=b^{2} -4ac=(-3)^{2}-4*9*(-20)=9+720=27^{2} \\\\x_1_,_2=\frac{-b +_- \sqrt{D} }{2a}\\\\x_1=\frac{3-27}{18}=\frac{-24}{18} =-\frac{4}{3}\\\\x_2=\frac{3+27}{18}=\frac{30}{18} =\frac{5}{3} \\\\

6 0
3 years ago
A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?
marta [7]

Answer:

The area of the circle is 9\pi \ units^{2}

Step-by-step explanation:

we know that

A circle has a sector with area 3\pi/2  and central angle of 60 degrees

The area of a complete circle subtends a central angle of 360\°

so

using proportion

Find the area of the circle

\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}

4 0
3 years ago
Read 2 more answers
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