You have $100 in your savings account and plan to deposit $20 each month. Write a linear equation to model the situation.

y= 100x + 20
y= 80x
y= 20x + 100
y= 120x

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Given

$x per adult

$8 per student

Population:

[tex]Students = 1[/tex]

[tex]Adults = 4[/tex]

[tex]Total = \$48[/tex]

Required

Determine the equation and solve for x

The system can be analyzed as thus:

The cost for 4 adults is: 4 * x

The cost for 1 students is: 8 * 1

Total Amount is: 48

From the analysis above, the equation is:

[tex]4 * x + 8 * 1 = 48[/tex]

[tex]4 x + 8 = 48[/tex]

Subtract 8 from both sides

[tex]4 x + 8 -8= 48 - 8[/tex]

[tex]4 x= 40[/tex]

Solve for x

[tex]x = 40/4[/tex]

[tex]x = 10[/tex]

Answer:1815 euros left

Step-by-step explanation:

Answer:

When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.

Answer:

The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.

Answer:

I think it is 71.222222 repeating

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

1222

Step-by-step explanation:

sorry youve been waiting a minute

Answer:b

Step-by-step explanation:

Step-by-step explanation:

öklid kurali var uygularsak:

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Answer:

240

Step-by-step explanation:

Answer:

16 m^3

Step-by-step explanation:

Question:

"a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid"

volume of pyramid = (1/3) * (area of base) * height

The perimeter of the base is 16 m, and the base is a square.

perimeter of square = 4 * side

4 * side = 16 m

side = 4 m

area of square = (side)^2

area of base = (4 m)^2 = 16 m^2

volume of pyramid = (1/3) * (area of base) * height

volume = (1/3) * (16 m^2) * 3 m

volume = 16 m^2

Answer:

there are 2 in each vase

Answer:

2 flowers per vase

Answer:D

Step-by-step explanation:

An auto repair shop charged $75/h  for labor plus an additional $89 for parts.

If the shop worked for 2 h.

C = Represented the total repair cost .

Than the equation becomes

C = 75 × 2 + 89

C = 75 (2) + 89

Therefore the total cost for the repair  is represented by C = 75 (2) + 89 .

Option (D) is correct .

Answer:

Step-by-step explanation:

the charge is 77 dollars per hour of labor

Answer:

D

Step-by-step explanation:

Answer:

impossible,unless number is zero

Answer:

73

Step-by-step explanation:

Number is xy

x+y=10  .....a

(10x+y) - 36 = 10y+x

10x-x+y-10y=36

9x-9y=36

9(x-y)=36

x-y=4 ....b

a+b: 2x = 14       x = 7

y = 10 - 7 = 3

The two digit number is 73

check:  7 + 3 = 10

73-36 = 37   (73 vs 37)

Answer:

Step-by-step explanation:

those are 2 lines, and to graph them find 2 points for each to draw a line trough them

line 1

y-2x=0 so y=2x

pick any value for x

(x=1, y=2*1=2), (x=3, y=2*3=6)

Draw a line trough points (1,2) and (3,6)

line 2

y=4x+3

(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)

Draw a line trough points (1,7) and (-1, -1)

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

The possible values of n are 7, 8, 9

The given equation is:

an²  =  182

Make n the subject of the formula:

[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]

Let us consider the minimum and maximum values of a:

when a = 2

[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]

When a = 5

[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]

We can conclude that 6.03 < n < 9.54

Since n is an integer, the possible values of n are 7, 8, 9

Learn more here: https://brainly.com/question/15816805

Answer:

D

Step-by-step explanation:

You can't check to see if your answer makes sense if there is no answer. You can't identify what your trying to find if you don't know the question. If you just solve the problem then you will probably get a bad grade. If you make a plan you need to know what your doing first so reading the problem carefully is the right answer.

Answer:

Concept: Equation of Linear Systems

Answer:

Slope =-3

Equation of a line

y-y1=m(x-x1))

y-4=-3(x+1)

y-4=-3x-6

y=-3x-6+4

y=-3x-2

Step-by-step explanation:

Answer:

The laws of multiplication state that when a negative number is multiplied by a positive number, the product will be negative. So, if considering a factor pair of a negative product, one of these factors must be negative and the other factor must be positive.

Answer:

... ... = .5

Step-by-step explanation:

I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first

255 / 2 = 112.5

Then find out what 64 + 32 + 16.

64 + 32 + 16 = 112

Add 0.5 to get the same answer from 255 / 2

64 + 32 + 16 + 0.5 = 112.5

Answer:

Step-by-step explanation:

the 1 one is the right one

Answer:

A. The afternoon temperature was 5 degrees above the night temperature

Step-by-step explanation:

have a nice day

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

For more about triangles,

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Step-by-step explanation:

I hope its help you

Answer:

Step-by-step explanation:

X/4 ≥ -8

4 x X/4 ≥ -8 x 4

X ≥ -32

Answer:

-5/2 is located left of -1

Step-by-step explanation:

Here, we want to select the correct option

We are comparing two numbers and the one on the left is less than the one on the right

Now, on the number line, we should notice one thing

The thing is that numbers that are less than a certain number will be positioned at the left hand side of the number

So what we have here is that the smaller number -5/2 is placed at the left hand side of -1 since it is the smaller number

Answer:

C.

Step-by-step explanation:

have a very awesome day!!!!