A 6-сm long toy car is 4% of the length of the official scale model of the Batmobile. How long is the official scale model? Show your work (you may use a linear model if you'd like) ​

Answer:

a = 1.5, b = 1.75

Step-by-step explanation:

Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.

(x + a)² + b

= x² + 2ax + a² + b , then compare to

x² + 3x + 4

Comparing the coefficients of the x- terms

2a = 3 ( divide both sides by 2 )

a = 1.5

Comparing the constant terms

a² + b = 4

1.5² + b = 4

2.25 + b = 4 ( subtract 2.25 from both sides )

b = 1.75

Answer:

trapezoid

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Step-by-step explanation:

I did this on desmos I hope it helps

Answer:

The equation is, [tex]5x+3y=82[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the cost of small wreaths.

So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].

Let [tex]y[/tex] represent the cost of large wreaths.

So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].

On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].

The equation is, [tex]5x+3y=82[/tex].

Answer:

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days

Answer:

300°

Step-by-step explanation:

a° is 180°

c° is 120° (from 180° = 60° + c°)

Answer:

26,400

Step-by-step explanation:

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

[tex]y\leq 40-x[/tex]....(1)

[tex]y\leq x-20[/tex]...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

[tex]y=-x+40[/tex]...(3)

[tex]y=x-20[/tex]...(4)

Adding equation (3) and (4) we get

[tex]2y=20[/tex]

[tex]y=10[/tex]

Substitute y=10 in equation (3) we get

[tex]10=40-x[/tex]

[tex]x=40-10=30[/tex]

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0 in equation (3)

[tex]x=40[/tex]

Substitute x=0 in equation (4)

[tex]y=-20[/tex]

Substitute y=0 in equation (4)

[tex]x=20[/tex]

Substitute x=0 and y=40 and in equation (1)

[tex]40\leq 40[/tex]

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

[tex]-20\leq -20[/tex]

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

The required solution to the given system of equations is (x, y) = (9, 45).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given the question as:

y = 3x + 18

y = 5x

To solve this system of equations by substitution, we can start by substituting the equation y = 3x + 18 into the second equation, which gives us:

5x = 3x + 18

Then we can solve this equation for x:

2x = 18

x = 9

Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y:

y = 3x + 18 = 3(9) + 18 = 27 + 18 = 45

Therefore, the solution to the system of equations is (x, y) = (9, 45).

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Answer:

:)

Step-by-step explanation:

The answer is ≈1761.76886

Answer:

[tex]63[/tex]

Step-by-step explanation:

Let number of nickels be [tex]x[/tex]

Number of dimes be [tex]y[/tex]

Number of quarters be [tex]z[/tex]

Total number of coins is [tex]185[/tex]

[tex]x+y+z=185[/tex]

Number of dimes is 5 more than quarters

[tex]y=5+z[/tex]

[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]

Amount of money in the jar is $25.25

[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]

[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]

[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]

[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]

So, the number of quarters is [tex]63[/tex].

Answer:

63 is the correct answer :)

Step-by-step explanation:

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

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6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right

Answer:

[tex]\boxed {\boxed {\sf \$300.00}}[/tex]

Step-by-step explanation:

The formula for simple interest is:

[tex]I=P*R*T[/tex]

where P is the principal amount of money, R is the interest rate as a decimal, T is the time.

We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.

We must convert the interest rate to a decimal.

Now we know all the values.

[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]

Substitute the values into the simple interest formula.

[tex]I= (2500)(0.06)(2)[/tex]

Multiply.

[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]

The simple interest is $300.00

[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]

[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]

[tex] \sf• \: Time \: (t) = 2 \: years[/tex]

[tex] \\[/tex]

[tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]

[tex] \\ [/tex]

[tex] \sf We \: know \: that, [/tex]

[tex] \red {\bigstar\bf { \: I = prt}}[/tex]

[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]

[tex]⟹I = 300[/tex]

[tex] \\ [/tex]

[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]

Answer:

x = 62

Step-by-step explanation:

If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees)  and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.

Answer:

the radius is 2.66ft

Step-by-step explanation:

my process of elimination:

first one: ❌ the radius is half of the length across (the dot) so 5.32ft divided by 2 it would be 2.66ft

sec. one: ❌ unlike the radius (which is half of the length across) the diameter is the full length across so the diameter would be 5.32ft

third one: ❌ actually almost tricked me then I remembered the circumference is for all around. this measurement only accounts for the diameter (5.32ft) and the radius (2.66ft)

fourth one: ✅simply was the truth. the radius is half of the diameter so if the diameter is 5.32ft then the radius is 2.66ft

I hope this helps I totally understand the struggles of math

Answer:

b=15

Step-by-step explanation:

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation:

Answer:

its the first one

Step-by-step explanation:

t - 3 > -5

 +3  > +3

___________

t      >  -2

t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.

Answer:

t>-2

Step-by-step explanation:

Treat this like an equation and add -3 to both sides:

t>-2

The correct choice should be #1

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation:

Answer:

2 8c+3

Step-by-step explanation:

Answer:

8c+3

Step-by-step explanation:

for #2

Answer: x = -3

Step-by-step explanation:

-3x = 9

9 ÷ -3 = -3

:)

Answer:

x = -3

Step-by-step explanation:

-3x = 9

9 divide by -3 = -3

Answer:

2.5

Step-by-step explanation:

15-10=5

5/2=2.5

Answer:

D

Step-by-step explanation

18/15=1.2

21/1.2=17.5

They Match!

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.

So j(-2,2) becomes j'(-1,1)

K(4,2) becomes K'(2,1)

L(4,-2) becomes L'(2,-1)

and M (-2,-2) becomes M'(-1,-1)

The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.

Answer:

This is the CORRECT answer

L' ( -2,-2) = ( -1,-1)

M' ( -4,2) = ( -2,1)

O' ( 6,2) = ( 3,1)

P' ( 8, -2) = (4, -1)