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2 years ago

Find the value of x so that m||n

Mathematics

2 answers:

jasenka [17]2 years ago

8 0

Answer:x=17

Step-by-step explanation:

Set 6x+5+5x-12 equal to 180

Simplify into 11x-7=180

Add 7 to both sides to get 11x=187

Divide both sides by 11 to get x=17

horrorfan [7]2 years ago

4 0

Answer:

The value of x is -17

The 6x+5 angle would be 97-degree angle and the 5x-12 angle would be a 45-degree angle

I hope this helps.

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look at the cups shown below (images are not drawn to scale). how many more cubic inches of juice will cup B hold than cup A whe

Nimfa-mama [501]

Answer:

18.8 cubic inches

Step-by-step explanation:

✔️Amount of juice Cup B will hold than Cup A = Volume of cup B - volume of cup A

✔️Volume of Cup B = Volume of cylinder = πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 7 in.

Volume of cup B = π*1²*7 = 21.99 in.³

✔️Volume of Cup A = Volume of cone = ⅓πr²h

radius (r) = ½ of 2 = 1 in.

height (h) = 3 in.

Volume of cup B = ⅓*π*1²*3 = 3.14 in.³

✔️Amount of juice Cup B will hold than Cup A = 21.99 in.³ - 3.14 in.³ = 18.8 in.³ (nearest tenth)

7 0

2 years ago

The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (populat

Zigmanuir [339]

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

3 0

2 years ago

To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700 dollars in your account. W

kati45 [8]

it is c y−1,700=200(x−4)

8 0

3 years ago

2+2 pls need help it is for my test

konstantin123 [22]

Answer:

Step-by-step explanation:

BRAINLIEST

6 0

2 years ago

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