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3 years ago

42 less than x is -50.

Mathematics

2 answers:

lutik1710 [3]3 years ago

6 0

The answer would be X = -8 because if 42 less than x is 50 than it has to be -8

STatiana [176]3 years ago

4 0

X-42=50
x=92

Hope this helps :)

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Theo started to solve the quadratic equation

STALIN [3.7K]

Answer:

$x + 2 = \pm2$

Step-by-step explanation:

After Theo added to both sides of:

${(x + 2)}^{2} - 9 = - 5$

He got;

${(x + 2)}^{2} = 4$

Next he took the square root of both sides to get;

$x + 2 = \pm \sqrt{4}$

When Theo simplifies, he will obtain:

$x + 2 = \pm2$

Therefore the second option is correct.

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4 years ago

A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each

grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0

4 years ago

Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 custom

bagirrra123 [75]

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1 = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1 = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

$y =mx+c$

Slope of a function:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500$

So, the equation is:

$y =-500x+c$

Putting x = 20, y = 5000:

$5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000$

$\Rightarrow \bold{y =-500x+15000}$

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

$-500 \times 18 +15000 = -9000+15000 = 6000$ so, it is true.

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The best fit is A. Linear model

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4 years ago

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Nostrana [21]

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4 years ago

Read 2 more answers

The perimeter of a hexagon with all equal sides is 9.0m. How long is each side?

natali 33 [55]

Answer:

1.5m

Step-by-step explanation:

A hexagon has 6 sides,

so divide 6 by 9.0m

you get 1.5m

7 0

3 years ago