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3 years ago

Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

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What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88

kipiarov [429]

Answer:

$\frac{3}{88}$

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

$\frac{1}{8} * \frac{3}{11}$

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

$\frac{1}{8} * \frac{3}{11}$

$=\frac{1 * 3}{8 * 11}$

$= \frac{3}{88}$

At this point, the fraction can't be simplified any further.

Hence,

$\frac{1}{8} * \frac{3}{11} = \frac{3}{88}$

3 0

3 years ago

Susan is writing a linear equation for the cost of her cell phone plan. In the first month, she talks for 52 minutes and is char

Alex787 [66]

Assuming that the cost per minute is the same for both months and the plan fee is the same, you can use y=mx+b for this

y is the cost of the phone plan, x is the cost per minute and b is the start cost.

so 19.41=25x+b for the first month
and 45.65=380x+b for the second month

solve both for b you get:
19.41-25x=b and 45.65-380x=b. from this we get
19.41-25x=45.65-380x

solve for x

328x=26.24 and x=0.08

this means the cost per minute is 0.08c/min (answer A)

rewrite the equation to calculate b, and where this time, the x is the number of minutes talked.

y=0.08x+b and plug in one of the two months

45.65=0.08 * 380 + b

Solve for b and b is 15.25

so the final equation is

y=0.08x+15.25 (answer B)

5 0

4 years ago

5(4-6)<br> Please help me

nikitadnepr [17]

-10 is the answer for this

6 0

3 years ago

Read 2 more answers

Kirsten's house is located at a point on the map that is

posledela

Kirsten had to drive 5 miles north, and then turn to the east for 12 miles where she found a nice parking spot at the Movie Theater :)

If the image represents the road she drove, she did travel 5 + 12 miles, thus she finally travelled 17 miles.