Evelyn borrowed $30 from her mother to buy a sweater. After 3 weeks of babysitting, she pays her mother back $24. ​ What percent of the debt has Evelyn paid her mother back?

Investor purchased 50 shares of stock in a company for $40.

So, the total initial amount he invested is

Then the rate of return is:

So, the requied rate of return is 10.0%.

Answer:

The answer is C.

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Answer:

6 3/14

Step-by-step explanation:

\(4\:1/7 \div 2/3 = 29/7 \div 2/3\\= 29/7 \div 2/3\\= \frac{29*3}{7*2}\\= 87/14\\= 6\:3/14\)

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A prime number can only be divided evenly by 1 and itself.

To find the multiples of a prime number, you can use the following steps:

For example, if the prime number is 5, the multiples of 5 are 5, 10, 15, 20, 25, and so on.

It's important to note that a prime number only has two divisors: 1 and itself. This means that a multiple of a prime number will never be a prime number.

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Answer:

c. Yes because ∠2 and ∠6 are congruent.

Step-by-step explanation:

From the picture attached,

m(∠2) = m(∠3) = m(∠6) = 40°

m(∠1) = 140°

Since (∠2 ≅ ∠6) (corresponding angles)

Therefore, by the converse theorem of corresponding angles lines c and d are parallel.

Option c is the answer.

The probability of out of any two students chosen at random, one student will be absent while the other is present is 29/450 or approximately 0.064.

Let's denote the event that a student is absent as A and the event that a student is present as P.

The probability of a student being absent is P(A) = 1/30, which means the probability of a student being present is P(P) = 29/30.

We want to find the probability that out of any two students chosen at random, one student will be absent while the other is present.

There are two possible cases for this event:

The first student is absent and the second student is present

The first student is present and the second student is absent

Let's calculate the probability of each case separately:

Case 1: The probability of the first student being absent is P(A) = 1/30. The probability of the second student being present is P(P) = 29/30. Therefore, the probability of the first student being absent and the second student being present is:

P(A and P) = P(A) × P(P) = (1/30) × (29/30) = 29/900

Case 2: The probability of the first student being present is P(P) = 29/30. The probability of the second student being absent is P(A) = 1/30. Therefore, the probability of the first student being present and the second student being absent is:

P(P and A) = P(P) × P(A) = (29/30) × (1/30) = 29/900

The total probability of one student being absent and the other being present is the sum of the probabilities of the two cases:

P = P(A and P) + P(P and A) = (29/900) + (29/900) = 58/900

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

P = 29/450

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Answer:

Paint mixture ratio:  

Quantities of paint needed for a total volume of 31 litres:

Step-by-step explanation:

We have been given quantities of paint in both litres and millilitres.

Therefore, first convert millilitres to litres (since the next part of the question is in litres).

Conversion:

To convert millilitres to litres, divide the quantity in millilitres by 1000:

\(\implies \sf Red\;paint:\quad 15\; ml = 15 \div 1000 = 0.015 \; litres\)

\(\implies \sf Yellow\;paint:\quad10 \; ml = 10 \div 1000 = 0.01 \; litres\)

Also convert the quantity of white paint to a decimal:

\(\implies \sf Whitez;paint: \quad \frac{3}{4} \;of \;a \;litre= 0.75\;litres\)

Therefore, the ratio of white paint to red paint to yellow paint in litres is:

To calculate how much of each colour we must mix to make a total of 31 litres of paint, first find the constant of proportionality:

\(\implies 0.75x+0.015x+0.01x=31\)

\(\implies 0.775x=31\)

\(\implies 0.775x \div 0.775=31\div 0.775\)

\(\implies x=40\)

Now multiply each ratio by the found constant of proportionality:

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

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Answer:

72 ounces

Step-by-step explanation:

1 pint = 16 ounces

4.5 pints* 16 ounces = 72 ounces

*4.5=4 1/2

The discriminant is 60 and the equation has two real roots with parabola intersecting x - axis at two points.

We are given that the equation is \(-3x^{2} +6x +2 = 0\)

The formula for discriminant is given by

D = \({b^{2} -4ac}\) where the equation is of the form \(ax^{2} + bx + c = 0\)

Therefore,

a = -3

b = 6

c = 2

Putting these values in formula of discriminant, we get

D = \({6^{2} - 4(-3)(2) }\)

D = 36 +24

D = 60

For the quadratic equation \(ax^{2} + bx + c = 0\) , the expression D = \(b^{2} - 4ac\) is called the discriminant.

The value of the discriminant shows how many roots does the quadratic equation has:

Now, since D = 60 > 0, we can say that the equation has two real roots and therefore, the parabola is intersecting the x-axis at two places.

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Answer:

This is gebber gabber but yes

Step-by-step explanation:

Answer:

1/13 I think but I'm not sure wait it's wrong

Step-by-step explanation:

add all the pupils who play a instrument which is 20 so u do 33-20=13

She must purchase and sell at least 61 jars to make a profit of $214.

First, calculate the cost per jar of honey that Alissa purchased:

$65/6 jars = $10.83/jar

Then, calculate the selling price per jar of honey:

$72/5 jars = $14.40/Jar

The profit per jar of honey is the selling price minus the cost price:

$14.40 - $10.83 = $3.57/jar

To find the number of jars that Alissa needs to sell to make a profit of $214, divide the total profit by the profit per jar:

$214 ÷ $3.57/jar ≈ 60.03 jars

Since Alissa cannot sell 0.03 of a jar of honey, she must purchase and sell at least 61 jars to make a profit of $214.

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Answer:

D

Step-by-step explanation:

7*5=35 its simple though

Answer:

It's answer C, as in the numbers below goes below the dividing point

Answer:

y = 4/3 x + 10

Step-by-step explanation:

gradient of perdicular line 4/3

equation of the line will be y = 4/3 x + 10

The required inequality is 3.5x > 63 oz, where x represents windows Savannah cleans.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Let x be the number of windows Savannah cleans.

The amount of window cleaner Savannah uses can be represented by the equation:

3.5x = oz

To represent the inequality that Savannah uses more than 18 windows, we can write:

x > 18

This inequality states that the number of windows Savannah cleans (x) is greater than 18.

Combining both the equation and the inequality we can write

3.5x > 63 oz

It tells us that the amount of window cleaner Savannah uses (3.5x) is greater than 63 oz when she cleans more than 18 windows.

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The value of current  through the circuit is 1 mA.

To model the resistive touchscreen as a series combination of resistors, we need to divide the touchscreen into small strips of equal width and find the resistance of each strip using its length and resistivity.

The resistance of each strip can be calculated using the formula:

R = (ρ × L) ÷ A

where ρ is the resistivity, L is the length, and A is the cross-sectional area.

Since the touchscreen is divided into strips of equal width, the cross-sectional area of each strip is given by:

A = t × W

where t is the thickness and W is the width of the touchscreen.

Using the given numerical values, we can calculate the resistance of each strip:

For the first strip (x = 0 mm to x = 20 mm):

L =  = 20 mm

A = t × W

= 1 mm × 50 mm

= 50 mm²

= 50 × 10⁻⁶ m²

ρ =  = 0.5 Ωm

= (ρ × L) ÷ A

= (0.5 Ωm × 20 mm) ÷ (50 × 10⁻⁶ m²)

= 1000 Ω

= 1 kΩ

Similarly, we can calculate the resistance of each strip and find the total resistance of the touchscreen:

=  +  +  +

= 1 kΩ + 1.5 kΩ + 1 kΩ + 1.5 kΩ

= 5 kΩ

Using Ohm's law, we can find the current through the circuit:

=  ÷

= 5 V ÷ 5 kΩ

= 1 mA

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Answer:

20 inches

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 15

Hypotenuse c = 25

Step 2: Solve for x

Answer:

20 inches

Step-by-step explanation:

Step 1: Understanding Pythagorean Theorem

The Pythagorean Theorem is \(a^{2} +b^{2}+c^{2}\). It is used to find the side lengths of a right triangle.

Step 2: Using the Theorem

We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.

We can denote -

a - 15

b - unknown

c - 25

(note, c is always the hypotenuse or the longest side of the triangle)

We can plug in the numbers -

\(15^{2} +b^{2} =c^{2}\)

\(225 +b^{2}=625\)

\(b^{2} =625-225\)

\(b^{2} =400\)

\(b=20\)

Answer: 75 women

4x+5x=135

9x=135

divide by

x=15

women 5 times 15 =75

men 4 tines 15 =60

75+60=135



Step-by-step explanation:

Answer:

all polygon have same formula for perimeter. sum of all sides

Step-by-step explanation:

in parallelogram area is l*b

peri = 2*(l+b)

here

2*(18+6) = 2*24 = 48 cm

Answer:7?

Step-by-step explanation:

Rise 7

Run. 1

Answer:

-3/9

Step-by-step explanation:

m = 1 - 4/11 - 2 (this is the form it's in: m = y2 - y1/x2 - x1)

m = -3/9

rise: -3

run: 9

(m = slope)

if this doesn't make sense look up "how to find the slope of two points"

hope this helps!

The system which is represented in the graph is: y > \(x^{2}\) – 2x + 4

                                                                                         y ≤ \(x^{2}\)  + 4

(h, k) = (1, -4), p = \(\frac{1}{4}\)

\(y > x^{2} -2x-3\)

rewrite y > \(x^{2} -2x-3\) in the standard form

\(4.\frac{1}{4} (y-(-4))=(x-1)^{2}\)

 y ≤ \(x^{2}\)  + 4

therefore parabola properties are:

(h,k) = (1, -4), p= \(\frac{1}{4}\)

The basic parabola has the accompanying properties: It is symmetric about the y-axis, which is an axis of symmetry. The base worth of y occurs at the beginning, which is a base-defining moment. It is also called the vertex of the parabola. The arms of the parabola go on indefinitely.

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Answer:

Step-by-step explanation:

apples=$2 per pound

oranges=$3 per pound

If Ben bought x pounds of oranges and five pounds of fruit in total, then he bought 5-x pounds of apples.

oranges price: 3x

apples price: 2(5-x)

Final Equation: 3x+2(5-x)=12

3x+10-2x=12

x+10=12

x=2 -> amount of oranges

input in apples equation

apples= (5-x)->(5-2)=3

Final answer: 2 pounds of oranges, 3 pounds of apples

The semiannual amortization amount for the discount on the bonds payable issued by the corporation using the straight-line method can be calculated.

To calculate the semiannual amortization amount, we need to determine the total discount on the bonds payable and divide it by the number of semiannual periods over the bond's life. In this case, the bonds were issued for $940,900, which is a discount of $970,000 - $940,900 = $29,100. The bond's life is 5 years, which corresponds to 10 semiannual periods (2 semiannual periods per year).

Therefore, the semiannual amortization amount for the discount on the bonds payable is $29,100 / 10 = $2,910. By amortizing the discount evenly over each semiannual period, the issuing corporation will gradually reduce the discount balance until it reaches zero at the bond's maturity. This method ensures a systematic and consistent approach to allocating the discount expense over the bond's life.

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Answer: D

Step-by-step explanation:

To add credibility to your response

Impersonaters and scammers usually don't have things like phone numbers and personal links, they can increase your credibility