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2 years ago

Solve for m: 18d − 2m + 9k < 5k + 10

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

7 0

Answer:

m > 2k + 9d- 5

snow_tiger [21]2 years ago

4 0

$18d-2m+9k$ < $5k+10$

$18d-2m$ < $-4k +10$

$-2m$ < $-4k +10 -18d$

$m$ > $\frac{-4k+10-18d}{-2}$ (flipped the sign because we're dividing by a negative)

$m$ > $2k+5+9d$

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SOLVE EQUATION BY TAKING SQUARE ROOTS.<br> -100+81a^2=0

IceJOKER [234]

Answer:

a = ±10/9

Step-by-step explanation:

$-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9$

7 0

2 years ago

Read 2 more answers

Solve the system of linear equations below.<br><br> y = -2x + 19<br> y = x + 7

ASHA 777 [7]

Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

-3x + 19 = 7

Now subtract 19 on both sides

-3x + 19 - 19 = 7 - 19

-3x = -12

Then divide both sides by -3

-3x/-3 = -12/-3

x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

y = -2(4) + 19

y = -8 + 19

y = 11

Thus,

The answer is: x = 4 and y = 11

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

6 0

3 years ago

A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $28.75 , with a standard

bulgar [2K]

Answer:

Following are the solution to the given choices:

Step-by-step explanation:

Using chebyshev's theorem :

$\to P(|(x-\mu)|\leq k \sigma)\geq 1- \frac{1}{k^2}\\\\here \\ \to \mu=28.75\\\\ \to \sigma=4.44$

In point a)

$\to |(x-\mu)|= |20.17-28.75|=8.58 and \sigma=4.44 \\\\so, \\k= \frac{ |(x-\mu)| }{\sigma}$

$= \frac{8.58}{4.44} \\\\ =1.9 \\\\ =2$

$value= (1- \frac{1}{k^2}) \times 100 \% =75\%$

In point b)

$\to (1- \frac{1}{k^2}) \times 100 \% =84\% \\\\\to (1- \frac{1}{k^2})=0.84 \\\\\to \frac{1}{k^2} =0.16 \\\\\to \frac{1}{k}=0.4\\\\ \to k=2.5 \\\\\to |(x-\mu)| \leq k \sigma \\\\= |(x-\mu)|\leq 2.5 \times 4.44 \\\\ = |(x-\mu)|\leq 1.11 \\\\ = (28.75\pm 11.1) \\\\\to \text{fares lies between}(17.65,39.85)$

In point c)

$\to 99.7 \% \\ lie \ between=28.75 \pm z(.03)\times \sigma \\\\ =28.75\pm 2.97 \times 4.44\\\\=(28.75\pm 13.1)\\\\=(15.65,41.85)\\$

In point d)

using standard normal variate

$x=20.17\\\\ z=-2 \\\\x=37.13\\\\ z=2\\\\\to P(20.17$

8 0

2 years ago

Help please Question is in the picture

anzhelika [568]

Answer:

360 degrees in total.

Step-by-step explanation:

We are given that the m∠1 is 145 degrees, and because ∠1 and ∠2 form a straight line we can tell that 180-145 = 35.

So now here's what we know:

m∠1 = 145

m∠2 = 35

After that, we need to look at ∠5 and ∠6.

One thing we can notice right away is that ∠5 and ∠6 should measure the same as ∠1 and ∠2 (respectively) because they are corresponding angles.

Now we will add them all together to find the sum of all four angles.

m∠1 = 145 + m∠2 = 35 = 180

m∠5= 145 + m∠6 = 35 = 180

180 + 180 = 360

8 0

3 years ago

At an amusement park, 10 out of 25 tickets sold were discount tickets. What percentage of the tickets were discount ticket

mezya [45]

Answer:

<h2>40% of the tickets were discount ticket</h2>

Step-by-step explanation:

10/25 are discount tickets

x by 4 to make the denominator 100

40/100

make into percentage

40%

7 0

2 years ago