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jolli1 [7]
3 years ago
14

jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week addition

al 2 gallons running errands. how many gallons of gas does john juse for work and errands
Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
Gallon he uses to and from work = (2 / 3) of 12

12 * (2 / 3)
= 8 ----- he uses 8 gallons to and from work

 + 2 additinal for errands

therefore gallons for work + gallons for errand = *8 + 2
= 10

your answer is 10
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Suppose the area of a circle is 4π. What is its diameter?
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Area=pi times radius^2 so

if area=4pi=pi times r^2
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4=r^2
square root
2=radius since legnth cannot be negative

radius=1/2 diamters
2 radius=diameter
2(2)=diameter=4
diameter=4
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A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they fi
a_sh-v [17]

In unit of batches over days, let r be the planned rate and R be the actual increased rate. The difference between R and r is described as 10 shirts per day.

R-r=10

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Planned              r                          8                           1

Actual                 R                         7                            1


\left[\begin{array}{c}r=1/8&R=1/7&R-r=HowManyBatchesInTenShirts\end{array}\right]

1/7-1/8, the number of batches equivalent to 10 shirts.

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4 0
2 years ago
What is f(5) if f(1) = 3.2 and f(x + 1) =5/2 (f(x))?
dimulka [17.4K]
F(x + 1) = (5/2)*f(x)

f(x + 1) = 2.5*f(x),           f(1) = 3.2

f(2) = 2.5f(1) = 2.5*3.2 = 8

<span>f(3) = 2.5f(2) = 2.5*8 = 20
</span>
f(4) = 2.5f(3) = 2.5*20 = 50

<span>f(5) = 2.5f(4) = 2.5*50 = 125</span>
8 0
3 years ago
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Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.
prisoha [69]

Answer:

a = [1   3   5   7   9] and b = [12   9   6   3   1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13   12   11   10   10]                .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11   - 6   - 1   4    8]                 .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13   12   11   10   10] + [-11   - 6   - 1   4    8]

On simplification we get

2a = [13-11   12-6   11-1   10+4   10+8]

2a = [2   6   10   14   18]

Divide both sides by 2.

a = [1   3   5   7   9]

Substitute the value of vector a in equation (1).

[1   3   5   7   9] + b = [13   12   11   10   10]

Subtract vector a from both sides.

b = [13   12   11   10   10] - [1   3   5   7   9]

On simplification we get

b = [13-1   12-3   11-5   10-7   10-9]

b = [12   9   6   3   1]

Therefore the vectors a and b are defined as a = [1   3   5   7   9] and b = [12   9   6   3   1].

4 0
2 years ago
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