Molly spent 40% of her savings to pay for a bicycle that cost her $85.
a. How much money was in her savings to begin with?
b. How much money does she have left in her savings after buying
the bicycle?

The expression that represents the area of the cement walkway is   11 ( 12 + 32x)

The formula for area of a rectangular prism is given as;

Area = 2 ( wl + hw + h )

Where;

Now, let's substitute into the formula for area;

Area = 2 {3(22) + 5x(3) + 22(5x) }

expand the bracket

Area = 2 { 66 + 15x + 110x }

collect like terms

Area = 2{66 + 176x}

Area = 132 + 352x

Area = 11 ( 12 + 32x)

Thus, the expression that represents the area of the cement walkway is   11 ( 12 + 32x)

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Answer:

If its supposed to be in ratio form, it should be 4:5 4 pounds of rice for every 5 quarts of water

Step-by-step explanation:

By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

710

Step-by-step explanation:

if its wrong tell me (☞ﾟヮﾟ)☞(if it right plz give me brainlist)☜(ﾟヮﾟ☜)

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Answer:

Step-by-step explanation:

Also possible option is B if 4a⁶/25 is under root

Step-by-step explanation:

√(36a⁸/225a²)

=> 6/9√(a⁸/a²)

If option B is 6/25√(a⁸/a²)

Otherwise

=> √(36a⁸/225a²)

=> √(36a⁶/225)

=> 6a³/15

=> 2/5a³

Answer:

73 students

Step-by-step explanation:

0.25×293=73

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

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Answer:

√19

Step-by-step explanation:

√(13-(-6))+(-4-(-4))

√(19+0

√19

The Hayden family should order 3 whole pizzas.

Here's how you can solve the problem: There are four people in the Hayden family. Each person always eats 3/4 of a cheese pizza. So, to find the number of pizzas they need to order, we need to multiply the number of people by the fraction of pizza each person eats.4 × 3/4 = 3.

Since the family needs 3 pizzas, they should order 3 whole pizzas. The equation for this problem can be written as: 4 × 3/4 = x. To find x, we need to multiply 4 and 3/4. 4 × 3/4 = 3, which means they need to order 3 whole pizzas.

You can also draw a picture to represent the problem. Here's an example:  Answer: The Hayden family should order 3 whole pizzas.

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Answer:

i have no idea

Step-by-step explanation:

The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let the coordinate Z is (-3, -7)

Under a clockwise rotation about the origin of  90 degrees

A coordinate ( x, y ) → ( y, - x ),

The coordinate Z is (-3, -7) and is translated using the rule

Then simply plug in the values of x and y which are x = -3 and y = -7

Thus ( -3, - 7 ) → (- 7, 3 )

This is the new coordinate for Z  (- 7, 3 )

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Answer:

128

Step-by-step explanation:

i just took the test

Answer: D) 128

Step-by-step explanation:

Answer:

π/6 , 7π/6

Step-by-step explanation:

3sinx = sinx + 1 ⇒ 2sinx = 1 ⇒ sinx = 1/2

At which value(s) of x does sinx equal 1/2?

x = arcsin(1/2) at π/6 and 5π/6

The return on investment for Investment Center A is 26.9% i.e., option C is the correct choice.

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list. Mean is the central point of the set of values. It is the average of values present in the data set. The central value which is called the average in mathematics is called the mean in statistics.

The return on investment (ROI) for Investment Center B

=Investment center income/Investment center average invested assets

=$525,000/$1,950,000

=26.9%

So, the option is C.26.9%.

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Before we can solve this question we need to create an expression to calculate 150$ discounted of 30%. The expression would be,

\(\text{T}=150\times(1-\text{r})\)

Where:

Before we can use the formula we need to get the percent in decimal form by moving the decimal two digits to the left. Once we have that we can plug the values in the formula and solve for T.

30%   ⇔   0.30

\(\text{T}=150\times(1-\text{r})\)

\(\text{T}=150\times(1-0.30)\)

\(\text{T}=150\times0.70\)

\(\boxed{\bold{T=105}}\)

So we see that 150$ discounted of 30% is $105

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

76 words per minute

Step-by-step explanation:

3724/49 =76

Answer:

Unit rate = 76

Step-by-step explanation

49 min = 3724 words

1 min = ?

3724/49 = 76

1 min = 76 words

Therefore, the unit rate is 76.

Hope this helps :)

Answer:

The answer is the first one

Step-by-step explanation:

The rays are: XW, ZY

The lines are: XZ

Rays are with one endpoint and one side that goes forever (aka and arrow).

A line has no endpoint going on forever in both directions.

Answer:

The first one

Step-by-step explanation:

Since a line is an infinite object, with no starting or ending point we symbolize it by an arrow over two points that belong to this line:

\(\line{XY}\)

A ray, on the other hand has a starting point and no ending point.

So, in the picture we have a pair of rays, with common points to the line XY

Namely:

XW e ZY

Answer: \(y=\sqrt[3]{\frac{x}{10} }\)

Step-by-step explanation:

\(f(x)=10x^{3}\\y=10x^{3}\)

switch the x and y:

\(x=10y^{3}\)

Now solve for y:

\(x=10y^{3} \\\frac{x}{10} =y^{3} \\\sqrt[3]{\frac{x}{10} } =y\\\)

Therefore, the inverse of that function is: \(y=\sqrt[3]{\frac{x}{10} }\)

Answer:

< 1 = 92º

< 2 = 24º

< 3 = 35º

< 4 = 35º

< 5 = 81º

Step-by-step explanation:

< 1 = 180 - 88 = 92

< 3 = 64 corresponding angle due to parallel lines

< 2 = 180 - (92 + 64) = 24

< 4 = 180 - (64 - 81) = 35

< 5 = 180 - (64 + 35) = 81

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

I have questions in physics if you know it answer it

Answer:

8 π .

Step-by-step explanation:

radius increases at a constant rate of 1 in/sec.

dr / dt = 1

where r is radius .

radius after 4 sec

r = 1 x 4 = 4 in

area A = π r²

differentiating both sides

dA / dt = 2 π r dr / dt

Putting dr / dt  = 1 , r = 4 in

dA / dt = 2 π x 4 x 1

= 8 π sq in per sec.

Area increases at the rate of 8 π per sec.

Answer:

I'd say x=30

cause the angle is 60°

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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\(\cos \theta=\frac{x}{16} \implies x=16 \cos \theta \\ \\ \sin \theta=\frac{y}{16} \implies y=16 \sin \theta\)

Answer:

8km

Step-by-step explanation:

if he took 20km in 20min how about 1h

do cross multiplication( use 60min instead of 1h)1h = 60min