A bookstore had 140 copies of a magazine. Yesterday the bookstore sold 2/7 these copies. How many copies were sold yesterday?
Write your answer in simplest form.

Answ

Step-by-step explanation:wirugf4

Answer:

x = −182/57, y = 290/57

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

The value of the car after 4.53 years will be $19,642.64.So after 4.53 years, the value of the car will equal the amount Chantel has paid to date


To solve this problem, we need to use the formula for exponential decay:

V(t) = V(0) *

where:

V(t) is the value of the car after t years

V(0) is the initial value of the car, which is $46,600

k is the decay rate, which is 10.3% or 0.103 per year

t is the time in years

Let's first find the value of the car after t years:

V(t) = 46,600 * \(e^(-0.103t)\)

Now let's find the amount Chantel paid to date. She put $12,000 down and pays $800 per month, so after t years, she would have paid:

P(t) = 12,000 + 800 * 12 * t

where:

P(t) is the amount Chantel paid to date

12 * t is the number of months Chantel has been paying for (since there are 12 months in a year)

We want to find the time t when V(t) = P(t). That is, we want to find the time when the value of the car equals the amount Chantel has paid. So we can set the two equations equal to each other and solve for t:

46,600 * \(e^(-0.103t)\) = 12,000 + 800 * 12 * t

Dividing both sides by 46,600, we get:

= (12,000/46,600) + (800/46,600) * 12 * t

Taking the natural logarithm of both sides, we get:

-0.103t = ln[(12,000/46,600) + (800/46,600) * 12 * t]

Simplifying, we get:

t = -ln[(12,000/46,600) + (800/46,600) * 12 * t]/0.103

Using a calculator or a computer algebra system, we can solve for t numerically. The solution is approximately 4.53 years.

, which is:

V(4.53) = 46,600 * \(e^(-0.103\) * 4.53) = $19,642.64

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Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer: C. 20-.40p

Step-by-step explanation:

We know that from the given information that each pound is worth 40 cents, and that its being subtracted from the twenty dollar bill.  

"Why are the others choices wrong?"

A. p-20, isn't the proper equation due to the stated information.

B. B. 20 -40p, this equation has Zelma pay $40 dollars each pound, which isn't correct due to what the text has stated ("for 40 cents per pound").

D. 40p-20, from the given text, this equation is wrong ("She pays the clerk with a twenty-dollar bill), it never states that she will be charged twenty dollars, or be given forty for each pound.

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Answer:

138 slices

Step-by-step explanation:

506 / 22 = 23 slices per loaf

23 x 6 = 138 slices

The sentence into a mathematical equation is R = 160x

The sentence "The difference between a number and ten is four" can be translated into a mathematical equation as:

x - 10 = 4

To solve for x, we can add 10 to both sides of the equation. This will give us:

x - 10 + 10 = 4 + 10

x = 14

Therefore, the number is 14.

More generally speaking, we can say that the equation for this sentence is x - a = b, where a is the number we are subtracting (in this case 10) and b is the result of the subtraction (in this case 4). To solve for x, we add a to both sides of the equation, giving us x = a + b.

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Answer:

The answer is 13

Step-by-step explanation:

24+2=26

26÷2=13

Answer:

-3

Step-by-step explanation:

-3 is 12 less than its square. Implies that 9 - 12 = -3.

Answer:

A person pushing a swing will make the swing rotate about its pivot.

A worker applies a force to a spanner to rotate a nut.

A person removes a bottle's cork by pushing down the bottle opener's lever.

A force is applied to a door knob and the door swings open about its hinge.

Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°

The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.

Now, for the transverse line theorem we can say that:

Angle 1 will be composed of two angles namely:

48 degrees and (180 - 153) degrees.

Thus:

m∠1 = 48° + 27°

m∠1 = 75°

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The number of degrees that ABC has been rotated counterclockwise about the origin is: A. 90°

We can define a degree (°) as a way of angle measurement according to application in mathematics geometry.

When something moves clockwise, it is said to move in the direction of a clock hand, which is to move to the right while counterclockwise is going against the normal direction of a clock thereby moving to the left.

Hence we can conclude by saying since the diagram was only rotated backward once, it is calculated to have done a 90° counclockwise movement

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Answer:

3. Standard deviation is the square root of the variance.

4. Standard deviation is useful because it has the same units as the underlying data.

Step-by-step explanation:

3. In statistics, the dispersion in a given data with respect to its mean distribution can be determined or measured by standard deviation and variance. The standard deviation of a distribution can also be determined as the square root of variance.

4. Standard deviation is measured in the same units as that of the original data. Thus it has the same units as the underlying data.

Answer:

x⁹

Step-by-step explanation:

Step 1: Write out expression

x⁷/x⁻²

Step 2: Rewrite

x⁷(x²)

Step 3: Simplify

x⁹

Step-by-step explanation:

Simplify: x^7/x^-2

=> x^(7+2) [∵ a^m/a^n = a^(m-n)]

=> x^9

Hope this helps!!

Answer:

(8,2)

Step-by-step explanation:

the third option

Answer:

i guess (8,2)

Step-by-step explanation:

it's where both lines intercept

Answer:what percent of the yearly sales were for July and September. if the graph shows 123,000​

Step-by-step explanation:

Answer:

srry got last one wrong

-1/4(2x + 5y)

Step-by-step explanation:

please give brainliest

Answer:

alternate interior angles

Step-by-step explanation:

I know for sure that this is one of the answers to your question sorry i didnt get to help more

Answer:

alternate interior angles

Step-by-step explanation:

Answer:  x = -10

Step-by-step explanation:

see image

A) congruent sides implies congruent angles A = 64°

B) Use the Triangle Sum Theorem: 64° + 64° + B = 180° --> B = 52°

C) B and C are complimentary angles: 52° + C = 90°  --> C = 38°

D) Use the Triangle Sum Theorem knowing that congruent sides implies congruent angles: 38° + 2D = 180°  --> D = 71°

∠2) D and ∠2 are supplementary angles: 71° + ∠2 = 180°  --> ∠2 = 109°

Solve for x:

109° = x + 119

 -10  = x

Answer:

x = -10

Step-by-step explanation:

Find the measure of angle m∠2

The triangles are isosceles triangles, the base angles are equal.

The other base angle is also 64°.

Using Triangle Sum Theorem.

64 + 64 + y = 180

y = 52

The top angle is 52°.

The whole angle is 90°.

90 - 52 = 38

The second triangle has base angles equal.

Using Triangle Sum Theorem.

38 + z + z = 180

z = 71

The two base angles are 71°.

Angles on a straight line add up to 180°.

71 + m∠2 = 180

m∠2 = 109

The measure of m∠2 is 109°

Find the value of x

m∠2 = x + 119

109 = x + 119

x = 109 - 119

x = -10

The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

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The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer: (10 - 3) x 25 = 175

Step-by-step explanation:

10 - 3 = 7

            7 x 25 = 175

Answer:

420 = 4.2 x 100 = 4.2 × 102

Step-by-step explanation:

Answer:

The answer is 12. In 3 cups of chocolate, there are 12 1/4 cup in them.

Step-by-step explanation:

each 1 cup had four  1/4 cup in them. So 4 times 3 cups is 12.

There are 12 servings of 1/4 cup in 3 cups of chocolate.

The term "serving" typically refers to a specified portion or amount of food or drink that is recommended or commonly consumed at one time. It helps in providing a standard measurement for nutritional information and portion control.

To determine the number of 1/4 cup servings in 3 cups of chocolate, we need to calculate the total number of 1/4 cup servings that can be made from the given amount.

1. One cup is equal to 4 quarters (1 cup = 4 × 1/4 cup).

2. To find the number of 1/4 cup servings in 3 cups, multiply 3 cups by the conversion factor (4 × 1/4 cup) for each cup.

3 cups × (4 × 1/4 cup) = 3 cups × 1 cup = 3 cups

Therefore, there are 3 * 4 = 12 servings of 1/4 cup in 3 cups of chocolate.

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Answer:

26.8 % discount

Step-by-step explanation:

Original price    299.99 + 110 = 409.99

discount calculation    110 / 409.99   x 100% = 26.8% discount

Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer:

the awnser is 124 YW:)

Step-by-step explanation:

62x2=124

Answer:

124 / C

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.  We know that angle k is 62, angle J is 90, that adds to 152.  180-152 gives us the third angle of the triangle as 28.  Assuming that the two triangles are similar, the angle opposite of the 28 degree is also 28 degrees.  The angles on the line should also add up to 180 degrees.  So 180 - 28 - 28 = 124.