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3 years ago

What is the length of JM

Mathematics

2 answers:

Sloan [31]3 years ago

8 0

Answer:

JM .................???????

Tpy6a [65]3 years ago

6 0

Step-by-step explanation:

JK = JM + MK

= 3x +15 + 8x + 25

= 11x + 40

JM = JK/2

3X + 15 = 11X/2 + 20

×2 TO THE ALL OF THE EQUATION

6X + 30 = 11X + 40

6X - 11X = 10

-5X = 10

X = -2

JM = -6 + 15 = 9

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Which equation can be used to represent “six added to twice the sum of a number and four is equal to one-half of the difference

soldi70 [24.7K]

Hello!

You could write this equation as seen below.

6+2(x+4)=0.5(3-x)

I hope this helps!

5 0

3 years ago

Read 2 more answers

A stereo system is being installed in a room with a rectangular floor measuring 19 feet by 12 feet and a 7-foot ceiling. The st

krek1111 [17]

Answer:

The shortest length of wire that can be used is 29.47 ft.

Step-by-step explanation:

To solve this problem we can follow the following steps:

1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.

$L = \sqrt{12^2 + 19^2}\\\\L= 22.47\ ft$

2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. Observe the attached image

3) The final distance (d) is:

$d = 22.47\ ft + 7\ ft\\\\d = 29.47\ ft$

6 0

2 years ago

If I bought shoes for 32.30 with 15% off 7%sales tax a 25dollar gift card but had a coupon that was forgotten for 5%off the orig

Otrada [13]

Answer:

$4.37 cash outlay

$29.37 total amount paid, partly with gift card

Step-by-step explanation:

The discount was ...

0.15 × $32.30 = $4.845 ≈ $4.85

So the price to which tax is added is ...

$32.30 -4.85 = $27.45

The amount of tax is 7% of this value, or ...

tax = $27.45 × 0.07 = $1.9215 ≈ $1.92

So, payment is made on the amount ...

$27.45 + 1.92 = $29.37

$29.37 is the total amount paid.

If $25 is paid using a gift card, then the cash outlay is $4.37.

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Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.

Alternate interpretation

If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.

4 0

3 years ago

List the next four multiples of fraction 7/12

Sidana [21]

<h2>Hello!</h2>

The answer is:

$\frac{14}{12}=\frac{7}{12}*2\\\\\\\frac{21}{12}=\frac{7}{12}*3\\\\\\\\\frac{28}{12}=\frac{7}{12}*4\\\\\\\\\frac{35}{12}=\frac{7}{12}*5$

A multiple of a number is the repeated sum of itself, for example:

Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...

Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...

From the example we have:

Multiple of the number 3 are: Itself, (3+3), (3+3+3), (3+3+3+3), (3+3+3+3+3) and so...

So,

Multiple of $\frac{7}{12}$ are:

$\frac{14}{12}=\frac{7}{12}*2=\frac{7}{12}+\frac{7}{12}\\\\\\\frac{21}{12}=\frac{7}{12}*3=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{28}{12}=\frac{7}{12}*4=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{35}{12}=\frac{7}{12}*5=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}$

Have a nice day!

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3 years ago

Find the leading coefficient and write the factored form of the function of least degree for the polynomial in the graph below.

OLga [1]

Yyyiyoyjtjdnxhwhshshdhesjdjejd

3 0

2 years ago