Solve each system by eliminating one of the variables by addition or
subtraction.

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

Answer:

Nathan is 36.3910059 ft from the base of the lighthouse.

Step-by-step explanation:

So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj

The opposite is 112, and we have to find the adjacent.

tan(72) = 112/adj

3.07768354 = 112/adj

adj = 112/3.07768354

adj = 36.3910059

Answer:

Kylie drank more water than Valentina

Step-by-step explanation:

I know that Kylie drank more water than Valentina.

I know this because I took 3 pints and found how many fluid ounces that would equal. 1 pint is equivalent to 16 fluid ounces. So, three pints would be equal to 48 fluid ounces. 16x3=48

Valentina drank 24 fluid ounces.

48 is greater than 24, so Kylie drank more water than Valentina.

Answer:

3

one

will represent

the student

Answer: 6625 sqaure yards

Step-by-step explanation:

Area for a trapezoid formula is A=(base 1 + base 2)·height÷2

So base one is 120 and base two is 10+120+15=145

and the height is 50 so (120+145)·50÷2=6625 The area for the trapezoid is 6625

Answer:

The monthly loan payment is of $458.88.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amount owed after 5 years:

Loan of 24000 means that [tex]P = 24000[/tex]

5 years means that [tex]t = 5[/tex]

Interest rate of 2.75% means that [tex]r = 0.0275[/tex]

Compounded monthly means that [tex]n = 12[/tex]

The amount is A(5). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]

[tex]A(5) = 27533[/tex]

What is your monthly loan payment?

$27,533 in 5 years = 5*12 = 60 months. So

27533/60 = 458.88

The monthly loan payment is of $458.88.

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Answer:

-384

Step-by-step explanation:

Solve for each function first.

g(-5) = 3(-5) - 1

g(-5) = -16

f(-5) = -5^2 + 1

f(-5) = -24

Multiply.

(fg)(-5) = (-16 x -24)

(fg)(-5) = -384

Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.

Answer:It would be the first class

Step-by-step explanation:

Because you are paying $70 per month and get a the class you want. and also i had the sames question also

just because the second class has smaller fees it also says that  you have to pay more for every class.

Answer:

x = 33 , y = 25

Here's your solution

=> let both number be x and y

=> so, x + y = 58

=> x - y = 8

=> solving both equation { add both }

=> 2x = 66

=> x = 33

=> now putting value of x in equation

=> 33 + y = 58

=> y = 58 - 33

=> y = 25

hope it helps

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

Answer:

-1

Step-by-step explanation:

Answer:

n has no value.

There is no solution to this equation

Step-by-step explanation:

let n be the number

In pieces:

sum of the number and 1: (n + 1)

8 times the sum: 8(n + 1)

-7 times a number: -7n

sum of -7 times and...: -7n + 8(n + 1)

number minus 7: n - 7

the same as: =

All together:

-7n + 8(n + 1) = n - 7

-7n + 8(n+1)=n-7

-7n + 8n+8=n-7

0=-15

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

Answer:

A /  D /  E

Step-by-step explanation:

f (1) = 1

f(2) = 5

f(3) = 9

Answer:

120 students are predicted to like chocolate chip ice cream best.

Step-by-step explanation:

40% = 0.4

Multiply 300 by 0.4 to get 40% of 300.

300 × 0.4 = 120

Answer:

y = 3x + 41

Step-by-step explanation:

First, lets set up the slope-intercept form equation, that is...

y = mx + b

m = slope

b = y-intercept

because the y-intercept is a positive value, it cannot be y=-3x-41 or y= 3x-41

now, we know that b = 41, but what is the slope?

Well, here are tips for doing slope

if the line is gradually increasing upwards, then it is a positive slope

if the line is gradually decreasing downwards, then it is a negative slope

because the line in the picture is positive, this proves y=-3x+41 wrong, therefore making y = 3x + 41 the only correct answer

Therefore, your correct answer is y = 3x + 41

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!

Answer:

the answer is 1 because the power of any no. 0 is always 1

Answer:

this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).

Step-by-step explanation:

102 - 8m = 86

86 - 102 = -16

-16/-8 = 2

Answer:

Its 2 bby :)

Step-by-step explanation:

When a number (in this case it's a variable) is put next to another number we are multiplying. So 8×2=16 Lets test it out. 102-16=86

Answer:

6

Step-by-step explanation:

Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

Answer:

the First One By Adding Four

The Second One Add Five And Two

The Third Add Two And Substract Four

Answer:

0.275

Step-by-step explanation:

1.25-0.975=0.275

Answer:

Yes, because Gabriel is the swimming. He was in 2nd or maybe 10th.

Answer:

Step-by-step explanation:

Answer:

630 ft

Step-by-step explanation:

(11 * 15) * 2 = 330 ft

(5 * 15) * 4 = 300 ft

330 + 300 = 630 ft

Answer:

a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).

Step-by-step explanation:

Question a:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.

The 95% confidence interval to estimate μ is (7.435, 8.045) hours.

Question b:

90% confidence interval means that [tex]Z = 1.645[/tex]

The margin of error is:

[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]

43.78 - 1.701 = 41.079%

43.78 + 1.701 = 45.481%

The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).