Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents

Answer:

12 inches

Step-by-step explanation:

Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.

The perimeter is the sum of the bases.

p=3+4+5=12 inches

Lateral Surface Area =12(8)=96  inches2

Answer:

Zero

Step-by-step explanation:

Simplifying

12x + 1 = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(4x + 1) + -2

Reorder the terms:

1 + 12x = 3(1 + 4x) + -2

1 + 12x = (1 * 3 + 4x * 3) + -2

1 + 12x = (3 + 12x) + -2

Reorder the terms:

1 + 12x = 3 + -2 + 12x

Combine like terms: 3 + -2 = 1

1 + 12x = 1 + 12x

Add '-1' to each side of the equation.

1 + -1 + 12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

0 + 12x = 1 + -1 + 12x

12x = 1 + -1 + 12x

Combine like terms: 1 + -1 = 0

12x = 0 + 12x

12x = 12x

Add '-12x' to each side of the equation.

12x + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 12x + -12x

Combine like terms: 12x + -12x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer:

A.

Step-by-step explanation:

Answer:

2496 is the volume

Step-by-step explanation:

The height of the tank is 13, the water level is 3 inches below that so the height of the water would be 10 (13-3 = 10)

volume = length x width x height:

Volume = 24 x 8 x 10 = 1,920 cubic inches

1 gallon = 231 cubic in.

1920/231 = 8.31 gallons

Find length FD

FD is Opposite

BD adjacent

O + A is Toa

Tan20 = o/9

x9

9 x Tan20 = o

O = 3.2757.... (ans)

Opposite/ FD is 3.28cm to 2.p.d

Draw diagonal line from A to D & find its length - that's the hypotenuse of a right-angle created

Use Pythagoras Theorem

a^2 + b^2 = c^2

25^2 + 9^2 = c^2

Square root both sides to get c

C = root 25^2 + 9^2

= root 706

= 26.57066...(ans)

AD is 26.57cm

Now create another right-angle triangle A to F to D back to A.

Label dimensions found such as the Length of AD to be 26.57.. Plus, FD to be 3.28.

Use trig for angel FAD:

Opposite of triangle is 3.28

Adjacent is 26.57

So, OA means Toa, but we're after an angle & have to use tan inverse instead.

Tan-1 (3.28/26.57) = 7.0374..

So, the angle is 7.04 degrees.

(ans) - ignore, I did use rounded figures in my ans, I was originally not going to, but I did.

Hope this helps!

Answer:

Step-by-step explanation:

3.5% to a decimal is 0.035 because its divided by 100.

Add 1 to 0.035 because its a positive interest.

Multiply 5000 times 1.035

You get $5175

Hope this helps.

The equation for the linear function that relates temperature (x) and refreshment sales (y) from the considered option can be given by: Option C: y = 11x- 55

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.

For this case, we see that the option C: y = 11x - 55 is such that each term is having at max one variable (therefore 1 degree) or no variable (therefore 0 degree).

Thus, option C represents a linear equation. Its graph is given below.

Option A has [tex]x^2[/tex] which is two degree, Option B has two degrees in y, and in Option D, there is x with three degrees.

Thus, the equation for the linear function that relates temperature (x) and refreshment sales (y) from the considered option can be given by: Option C: y = 11x- 55

Learn more about linear equations here:

https://brainly.com/question/498084

#SPJ1

Answer:

3/5

Step-by-step explanation:

Sin = hypotenuse side / opposite side to the angle

then: Sin (C) = 30 / 50 = 3 / 5

Answer:

C

Step-by-step explanation:

trust me bbg I know what I'm talking about

Answer:

x=[tex]\sqrt{7}[/tex]

Step-by-step explanation:

use the pythagorean theorem

since the two sides are the same you  

[tex]2x^{2} =14\\x^{2} =7\\x=\sqrt{7}[/tex]

Answer:

the one symbols are not explanation

Answer:

£890

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

b 205

Step-by-step explanation:

would be the closest answer.

Hope this hlepsss!

Answer:

x = 24

Step-by-step explanation:

[tex]\frac{x}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )

x = 2 × 12 = 24

multiplication .

We need to use multiplication in order to get rid of the fraction and solve for x .

Remember that in mathematics we can't just get rid of fractions without altering the maths problem , so we multiply both sides by the denominator of the fraction , which is 2 .

x/2 = 12

[tex]\blue{\mathtt{x\:=\:24}}[/tex]

[tex]\small\text{hope\;helpful~}[/tex]

Answer:

250

Step-by-step explanation:

1. convert from percentage to decimal

to do this, divide the percentage by 100

1.11 / 100 = 0.0111

2. multiply the decimal by the amount

decimal = 0.0111

amount = 22500

final answer = 0.0111 * 22500 = 249.75 ≈ 250

thus, 1.11 % of 22,500 = 0.0111 * 22500 ≈ 22500

Exponential equations are equation that contain powers or exponents in them. The simplified form of the given expression is [tex]\frac{\sqrt{y}}{xz^2}[/tex]

Given the exponential function expressed as

[tex](x^{1/2}y^{-1/4}z})^{-2}[/tex]

According to the law of indices expressed as

[tex](a^m)^n= a^{mn}[/tex]

Applying this law to the given exponential equation, we will have:

[tex]=(x^{1/2}y^{-1/4}z})^{-2}\\=(x^{1/2})^{-2}(y^{-1/4})^{-2}(z})^{-2}\\=x^{-1}y^{1/2}z^{-2}[/tex]

Using the inverse law;

[tex](x^{1/2}y^{-1/4}z})^{-2}=\frac{1}{x}\sqrt{y}\frac{1}{z^2}\\ (x^{1/2}y^{-1/4}z})^{-2}=\frac{\sqrt{y}}{xz^2}[/tex]

Hence the simplified form of the given expression is [tex]\frac{\sqrt{y}}{xz^2}[/tex]

Learn more on exponential function here: https://brainly.com/question/14197900

The y-intercept of the equation that represent the relationship between x and y in the table is -6

From the table, we have the following highlight:

This means that:

From the table, we have:

x = 2 when y = -9

Decrease the values of x and y

x = 0 when y = -6

Hence, the y-intercept is -6

Read more about y-intercept at:

https://brainly.com/question/1884491

Answer:

28.5 inches

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IF IT'S CORRECT!

Answer:

The quadratic formuls that this graph represents is: f (x) = -x 2 -2x +3

Have a nice day!

Answer:

113 miles

Step-by-step explanation:

To find the area from the radius, you can do

6^2=36

36*3.14=113.04

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

3 3/4 pounds of rice divided equally in 4 containers.

the amount of ounces of rice each were in.

33/4 ÷ 4 pounds

= (4 × 3 + 3)/4 ÷ 4 pounds

= 15/4 ÷ 4 pounds

= 15/4 × 1/4 pounds

= 15/16 pounds

so, now:

1 pound = 16 ounces

hence, 15/16 pounds = 15/16 × 16 ounces

= 15 ounces

Answer:

6.48m

Step-by-step explanation:

If you look at the values, you'll notice that the top 2 triangles have the same values and the bottom 2 triangles have the same values.

Area(Kite)=Area(Top Triangles)+Area(Bottom Triangles)

Area(Kite)=Area(15*18cm)+Area(21*18cm) (You can plug it in like a rectangle since their is 2 of each triangle)

Area(Kite)=270cm+378cm

Area(Kite)=678cm

Don't forget they asked it in Meters not Centimeters!

So...

The area of the kite is 6.48m

Answer:

6.48 sq. meters

Step-by-step explanation:

Let's split the kite into 2 parts. The bottom triangle and the top triangles.

Let's find the values of the bottom two triangles first. Both triangles have the same lengths and widths so their area will be the same too. The equation for the area of the triangle is (L*W)/2. The length is 21 and the width is 18. (21*18)/2=189. So since there are 2 triangles, you do 189*2= 378.

Let's find the values of the top two triangles. Since both of them have the same length and width, their areas will be the same too. Since we know the equation, let's use that to solve this problem. The length is 15 and the width is 18. (15*18)/2=135. So since there are 2 triangles, you do 135*2=270.

Now we have to add the areas of the 4 triangles together. 270+378=648 cm. But the answer has to be in meters so the answer is 6.48 since 1 cm = 0.01 m.

Sorry for the long explanation, I was trying to show my work so you would understand!

Answer:

To find the area of the hexagon,we will first find the area of each equilateral triangle then multiply it by 6.

Answer:

15 gallons

Step-by-step explanation:

Four quarts equals one gallon.

So 60 quarts divided by 4 quarts a gallon = 15 gallons.

The answer is B as it is the only one that matches the 2 inequalities.

Answer:

  600 miles

Step-by-step explanation:

The actual distances between the cities are expected to be proportional to those on the map.

__

  AB/(1.8 ft) = CD/(2.16 ft) . . . . ratio of miles to feet is constant

  CD = AB(2.16 ft)/(1.8 ft) = (500 mi)(6/5)

  CD = 600 mi

The actual distance between City C and City D is about 600 miles.

Answer:

85

Step-by-step explanation: