2x – y=8
4x – 2y = 16
Answers:
A. (4, 16)
B. (16, -2)
C. infinitely many solutions
D. no solution

Answer:

1,092.8 ft

Step-by-step explanation:

The information here gives us a right triangle.

Let "y" represent the length of the base. (Adjacent length)

Height of the tower = 984 ft (opposite length)

Angle of elevation = 48° (reference angle)

Applying trigonometric ratios formula, we would have:

[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]

Plug in the values

[tex] tan(48) = \frac{y}{984} [/tex]

Multiply both sides by 984

[tex] tan(48) \times 984 = \frac{y}{984} \times 984 [/tex]

[tex] 1,092.8 ft = y [/tex] (nearest tenth)

Answer:

B is the answer. Just substitute 14 in for x.

Step-by-step explanation:

Answer:

3.777

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

1. PNT

2.RNM

3.QNM

4.UYZ

5. None

6.VYZ

7.none

Step-by-step explanation:

suplametery means when you add to angles together it will equal 180

while complementery is when to angels are added together to make 90 degrees

Answer:

x = -24

Step-by-step explanation:

-x+6=30

-x=24

x=-24

Answer:

2 servings

Step-by-step explanation:

1 pound is 16 ounces

Answer:

It is the first one 15 is the y intercept slope 8/1

Answer:

1/2

Step-by-step explanation:

Rise over Run... 2/4

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals are made, it will take him 8.86 years for the account to grow to $3000

From the information given:

By using the compound interest formula:

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

replacing the values from above, we have:

[tex]\mathbf{3000= 2000( 1+\dfrac{0.046}{4})^{4t}}[/tex]

[tex]\mathbf{\dfrac{3000}{2000}= ( 1+\dfrac{0.046}{4})^{4t}}[/tex]

[tex]\mathbf{\dfrac{3000}{2000}= ( 1+0.0115)^{4t}}[/tex]

[tex]\mathbf{\dfrac{3000}{2000}= ( 1.0115)^{4t}}[/tex]

[tex]\mathbf{log(\dfrac{3000}{2000})= 4t \times log ( 1.0115)}[/tex]

[tex]\mathbf{0.17609= 4t \times0.004966}[/tex]

[tex]\mathbf{t = \dfrac{0.17609}{4 \times 0.004966 }}[/tex]

t = 8.86 years to the nearest hundredth.

Learn more about compound interest here:

https://brainly.com/question/14295570?referrer=searchResults

Answer:

39 / 3 = 13

Step-by-step explanation:

first find out how many times 39 goes into 3 by writing the multiplication facts of 3.

3x1=3             3x8=24

3x2=6            3x9=27

3x3=9            3x10=30

3x4=12           3x11=33

3x5=15           3x12=36

3x6=18           3x13=39

3x7=21           3x14=42

You use 3x13 because 3x13 equals to 39 and that is our dividend.

The answer is 13

miles and hours is the correct option.

NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU

Answer:

42

Step-by-step explanation:

answer is 42 bc I don't see the question you are asking.

And there is no question showing

Answer:

A population numbers 18,000 organisms initially and decreases by 3% each year

Step-by-step explanation:

Answer:

Step-by-step explanation:

8).  [tex]\left \{ {{4x+3y=1} \atop {x+y=2}} \right.[/tex]

(2) × [ - 3 ]

4x + 3y = 1 ........ (3)

- 3x - 3y = - 6 .... (4)

(3) + (4)

x = - 5

- 5 + y = 2 ⇒ y = 7

( - 5 , 7 )

9). [tex]\left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.[/tex]

(1) ÷ [- 3]

3x - y = - 6  ......... (3)

2x + y = - 4 ........ (4)

(3) + (4)

5x = - 10 ⇒ x = - 2

2(- 2) + y = - 4 ⇒ y = 0

(- 2, 0)

10). [tex]\left \{ {{x-2y=14} \atop {10x-6y=0}} \right.[/tex]

(2) ÷ 10

x - 0.6y = 0 ⇒ x = 0.6y -----> (1)

0.6y - 2y = 14

- 1.4y = 14

y = - 10

x - 2(- 10) = 14 ⇒ x = - 6

(- 6, - 10)

Now is your turn, you can do it!!

Answer:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Step-by-step explanation:

Given the equation of a line, -2y = 5x + 8, first rewrite the equation in the slope-intercept form, before determining the slope of the lines that will be parallel to it, and slope of lines that will be perpendicular to it.

-2y = 5x + 8

Divide both sides by -2

y = 5x/-2 + 8/2

y = -⁵/2x + 4

The slope of the line of this equation is -⁵/2.

Linea that will be parallel to the given equation will have the same slope, while all lines that will be perpendicular to it will be a negative reciprocal of the slope of the equation.

Therefore:

Lines parallel to the given equation will have a slope of -⁵/2 and lines perpendicular to the given line will have a slope of ⅖.

Answer:

Lines parallel to the given equation will have a slope of -5/2 and lines perpendicular to the given equation will have a slope of 2/5.

Step-by-step explanation:

I took the test.

Answer:

It is not a function.

Step-by-step explanation:

This is not a function, because there is more than one y value when x = -1.  A function has one value for each x value.

Answer:

4/9c

Step-by-step explanation:

When dividing by fraction, multiply by its reciprocal.

so 7a/9bc × 12b/21a = 84ab/ 189abc

Simplify

84/189c

4/9c

Answer:

P = 7

Step-by-step explanation:

46+8=54

54-5=49

49÷7=P

Answer:

6 3/4 or 27/4

Step-by-step explanation:

(27 / 2) / 2 = 6.75

Answer:

the answer is the second choice

Step-by-step explanation:

2 steps right and 5 up in mathematics is written as:

x->x+2 and y->y+5

For instance, in the point L

(-5,-2) --> (-5+2,-2+5)=(-3,3)

which is L'=(-3,3)

and so on.

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

um is the end a 3 and 2 or 32 or 3*2?

Answer:

the answer to your question is 48

Answer:

[tex]range=5.1[/tex]

Step-by-step explanation:

The range of a set is found by subtracting the lowest number from the greatest number.

The greatest number is 2.8 , and the lowest is -2.3. Subtract the values:

[tex]2.8-(-2.3)[/tex]

Two negatives make a positive, so:

[tex]2.8+2.3=5.1[/tex]

:Done

Answer: y=1x+9

Step-by-step explanation: Hope this helped!!

Answer:

24

Step-by-step explanation:

9+(7x4)-13

9+28-13

37-13

24

Answer:

29.05% of cookies sold were oatmeal cookies.

Step-by-step explanation:

Students sold chocolate chip cookies = 145

Students sold oatmeal cookies = 95

Students sold sugar cookies = 87

Total cookies sold = 145+ 95 + 87

Total cookies sold= 327

The formula used to find percentage is : [tex]Percentage = \frac{part}{whole}*100[/tex]

Now, finding percent of the cookies sold that were oatmeal

Percentage of oatmeal cookies sold = [tex]\frac{95}{327}*100[/tex]

Percentage of oatmeal cookies sold = 29.05 %

So, 29.05% of cookies sold were oatmeal cookies.