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labwork [276]
3 years ago
14

Jose travels 34 miles from home to work on a daily basis. If she takes up a job that is 1 and 1/2 times as far as her old job, h

ow many miles would she be traveling? Solve the problem. You MUST explain your reasoning. Plz help me.
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

51 miles

Step-by-step explanation:

To find how many miles it would be, we can multiply 34 by 1.5 because the new job is 1.5 times further.

34(1.5) = 51

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Answer:

Your cute. Keep being you!

Step-by-step explanation:

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3 years ago
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Evaluate S5 for 300 + 150 + 75 + … and select the correct answer below. 18.75 93.75 581.25 145.3125
Savatey [412]

we have that

300 + 150 + 75 +...

Let

a1=300\\ a2=150\\ a3=75

we know that

\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

so

a(n+1)=an*0.50

Is a geometric sequence

Find the value of a4

a(4)=a3*0.50

a(4)=75*0.50

a(4)=37.5

Find the value of a5

a(5)=a4*0.50

a(5)=37.5*0.50

a(5)=18.75

Find S5

S5=a1+a2+a3+a4+a5\\ S5=300+150+75+37.5+18.75\\ S5=581.25

therefore

the answer is

581.25

Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

the answer is

581.25

6 0
3 years ago
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3. Han has a fish tank that has a length of 14 inches and a width of 7 inches. Han puts in
muminat
The height of the tank is 12 inches
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2 years ago
Write an equation of a parabola with a vertex at the origin and the given focus 10. Focus at (-1,0)
Nostrana [21]

Step-by-step explanation:

focus(p) is on the x axis= -1

vertex=(0,0)

parabola equation----- (y-h)^2 =4p(x-k)

(h, k)=(0,0)

(y-0)^2 =4(-1)(x-0)

|

|

|

y^2 = -4x

that is the answer

3 0
2 years ago
Repeat the following procedure for the four given numbers Multiply the number by 8. Add 6 to the product . Divide this sum by 2.
seropon [69]

Answer:

12

Step-by-step explanation: Given:1st no. is 3

3×8=24

24+6=30

30/2=15

15-3=<u>12</u>

therefore,ans is 12

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3 years ago
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