You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money to purchase a car which costs $2500. However, your parents remind you that it's probably not a good idea to empty your entire savings account so they recommend leaving a balance of $500 in your account. How many months will it take you to have enough money saved to purchase the car AND still have a $500 balance? Set up an equation and solve. ​

Answer:

6 miles

Step-by-step explanation:

180 ÷ 30 = 6

Bianca drove 6 miles before lunch to her Grandma's house.

Answer:

14 children

Step-by-step explanation:

If we know the ration, and we are given the adults, we can set up a proportion in order to solve for the amount of children there are.

5:2=35:x

5x=35*2

5x=70

x=14

There are 14 children

Answer:

1440

Step-by-step explanation:

1440 because u have multiply 120x12 because there r 12 months

Answer:

64,512 m3

Step-by-step explanation:

3 1

​  

(base area)(height) =  3 1

​  

(64⋅64)(48)  =65,536

​  

The volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the squares joints at the top which is perpendicular to the center of the square.

We know volume for the right square pyramid is given by:

[tex]\rm V= \frac{1}{3} b\times h[/tex]

Volume for the cut off portion:

[tex]\rm v = \dfrac{1}{3}\times16\times16\times12[/tex]

v = 1024 cubic meters

Volume for the completer pyramid"

[tex]\rm V=\dfrac{1}{3}\times64\times64\times48[/tex]

V = 65536 cubic meters

Volume of the building = 65536 - 1024

= 64512 cubic meters

Thus, the volume of the building is 64512 cubic meters if the pyramid that's cut off in a plane parallel to its base.

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Answer:

C

Step-by-step explanation:

-2x^2 + 2x -3

-2(5)^2=

-50

2(5)

= 10

-50+10-3

is -43 so C

Answer:

I believe D is the answer

Step-by-step explanation:

how I find the slope it by looking at the y-axis and what hits directly on that line. you can see that 3 hits directly on that line so the b in y=mx+b is three which is your starting point. then you follow the line and see where it hits directly on a point. then count the blocks. remember that it's rise over run so that's y over x. so you go down five and over one. since you go down five it's negative. the negative is only added onto the five not the one. and since it's five over one, you don't need to put the over one, it's just automatically there. hope this helps! good luck!

Answer:

Yes

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

just did it made 80

Answer:

heyy hello how r u? I hope u r fine

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

Answer:

(-7,-8)

Step-by-step explanation:

The original point is (8,7)

To reflect it, just switch their places and change their signs.

So, (-7,-8)

Answer:

-1 and 5

Step-by-step explanation:

The number of peanuts and raisins for 7 portions is 35 and 63 respectively.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of peanuts to raisins in one portion is 5:9.

Number of peanuts and raisins you will need if you make 7 portions and 12 portions.

Now, 5×7 : 9×7

35:63

Here, 5×12 : 9×12

60 : 108

Therefore, the number of peanuts and raisins for 7 portions is 35 and 63 respectively.

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Answer:

there is the answer let me now if i was right

Step-by-step explanation:

Answer:

6*R

Step-by-step explanation:

because if R is the amount of posters you can do the 6 multiplied by the R to help

Answer:

C. y </ 3/4x +10 and y<l -1/2x - 3

Step-by-step explanation:

Basically first do process of elimination with your focus on one equation

for example :: ( >l is greater then or equal to and <l is lease then or equal to)

focus -> y >l 3/4x + 10

1) determine which line has the y-intercept of positive 10

2) is the line dotted or straight? dotted line = > or < while straight line = >l or <l

this should get rid of B and D now

3) remember this = if the slope is - then the shaded portion would be the way that the less then sign is pointing

( y <l -4x then the shaded portion would be on the left side )

remember again = if the slope is + then the shaded portion would be the way that the greater then sign is pointing

( y <l 4x then the shaded portion would be on the right side )

so the line that we are focused on would have the right side shaded which means that it would be a <l ,so the answer would be C

hope this helped you understand how to solve these a bit better!

(tbh the day I figured how to solve these problems, I swear the whole world turned 180 degrees for me. )

Answer:

ok for the first one the lines only cross once 2. lines dont cross 3. its just one line

Step-by-step explanation:

im pretty sure thats right

Answer:

0.015625

Step-by-step explanation:

8⁴×8⁻⁶

= 8⁴⁺⁻⁶ = 8⁻² = 0.015625

Answer:

x/64 hope this helps

Step-by-step explanation:

Given:

s is inversely proportional to t.

When s = 0.5, t = 7.

To find:

The value of s when t=0.8.

Solution:

s is inversely proportional to t.

[tex]s\propto \dfrac{1}{t}[/tex]

[tex]s=\dfrac{k}{t}[/tex]       ...(i)

Where, k is the constant of proportionality.

Putting s=0.5 and t=7, we get

[tex]0.5=\dfrac{k}{7}[/tex]

[tex]0.5\times 7=k[/tex]

[tex]3.5=k[/tex]

Putting k=3.5 in (i), we get

[tex]s=\dfrac{3.5}{t}[/tex]

This is the equation of proportionality.

Putting t=0.8, we get

[tex]s=\dfrac{3.5}{0.8}[/tex]

[tex]s=4.375 [/tex]

Therefore, the value of s is 4.375 when t=0.8.

Answer:

d. raíz de 44

[tex] \sqrt{48 \\ } [/tex]

Answer:

1 : 1.6

For every centimeter on the model, it is 11.6 centimeters on the real plane

Step-by-step explanation:

The required value of the scale of the model in the form of 1:160.

Given that,

The wingspan of the model is 50 centimeter,

The wingspan of the real plane is 80 meter.

We have to determine,

The scale of the model and give your answer in the form 1 : n.

According to the question,

The wingspan of the model =  50 centimeter [tex]= \frac{50}{100} = 0.5m[/tex]

The wingspan of the real plane is 80 meter.

The ratio of the scale = 1:n

Therefore,

The equation of proportion is,

[tex]\frac{wingspan \ of \ the \ model}{wingspan\ of \ the \ palne} = \frac{1}{n}[/tex]

Putting all the values in the equation,

[tex]\frac{0.5}{80} = \frac{1}{n} \\\\n = \frac{1 \times 80}{0.5} \\\\n = 160[/tex]

The value of n = 160.

Hence, The required value of the scale of the model in the form of 1:160.

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Answer:

3x48+48 = 192

3x48= 144

144+48= 192

There has been sold 12 items of f and 36 items of e in the system.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are Given the system of equation:

(1) e + f = 48

(2) e = 3f

Then Substituting e=3f into e + f=48:

3f + f = 48

Adding similar terms:

4f = 48

Dividing both sides by 4:

f = 48/4

Simplifying:

f = 12

Replacing;

f=12 in e + f =48

e + 12 = 48

Now Subtracting -12 to both sides:

e = 48 - 12

e = 36

Thus There has been sold 12 items of f and 36 items of e.

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