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3 years ago

Plz, help ASAP!!!!!!!!!!!!!

Mathematics

1 answer:

balandron [24]3 years ago

3 0

Answer:

x = 19

Step-by-step explanation:

When two lines "cross" and intersect, it creates 2 pair of vertical angles.

The opposite angles are vertical angles and they are equal.

Given two angles (in expressions), they are vertical angles and hence are equal in measure. So we can write:

$6x-48=4x-10$

Now, we can use algebra and solve for x:

$6x-48=4x-10\\6x-4x=-10+48\\2x=38\\x=\frac{38}{2}\\x=19$

So,

x = 19

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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l

creativ13 [48]

Using a system of equations, it is found that the unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

For the system:

x is the unit price of a bag of chips.

y is the unit price of liter of pop.

z is the unit price for a chocolate bar.

From the table, the equations are:

$2x + 2y + z = 9.25$

$3x + 4y + z = 14.50$

$x + 3y + 3z = 12$

Replacing the <u>first equation on the second and the third:</u>

$z = 9.25 - 2x - 2y$

$3x + 4y + z = 14.50$

$3x + 4y + 9.25 - 2x - 2y = 14.50$

$x + 2y = 5.25$

$x = 5.25 - 2y$

$x + 3y + 3z = 12$

$x + 3y + 3(9.25 - 2x - 2y) = 12$

$-5x - 3y = -15.75$

$5x + 3y = 15.75$

Since $x = 5.25 - 2y$ :

$5(5.25 - 2y) + 3y = 15.75$

$-7y = -10.5$

$y = \frac{10.5}{7}$

$y = 1.5$

Then:

$x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25$

$z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75$

The unit prices are:

$2.25 for a bag of chips.

$1.50 for a liter of pop.

$1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0

3 years ago

Refer to the various selling prices of various homes in a community that follow the normal distribution with mu (population mean

blsea [12.9K]

Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

8 0

2 years ago

Can someone help me please with correct answers

kenny6666 [7]

Answer:

15.59 cm^2

Step-by-step explanation:

Given formula for area= √(3s^4)/4

We have, a=6cm

Area= √(3s^4)/4 = √(3*6^4)/4 =√(3*1296)/4 =√3888/4 ≈ 62.35/4 ≈ 15.59 cm^2

7 0

3 years ago

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kondor19780726 [428]

Answer: It equals 8.

Step-by-step explanation:

6 0

2 years ago

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Ludmilka [50]

Use the photo Math calculator the answer would be on their

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3 years ago

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