A student's tuition was $3000. A loan was obtained for 5/6 of the tuition. How much was the loan?

Answer:

its 3/12

Step-by-step explanation:

so 3/12 in decimal form is 0.25 and 2/9 is around 0.23

so that would make 3/5 the greater fraction

Answer:

let the marks obtained in maths be x

total marks obtained by susan=142+x

then

A/Q

60%of 450 =(142+x)

270=142+x

x=270-142

x=128

hence marks obtained in maths=128

OR

Max marks 120+150+180=450

60% of 450 is 270

70 +72+x=270

x=270-142

x=128

Answer:

30cm²

Step-by-step explanation:

Since there are two 10 centimeter sides, this can be shown as 10cm×2=20cm. Since there are two 5 centimeter sides, this can be shown as 5cm×2=10cm. 20cm+10cm=30cm².

The variable 'time to destination' quantitative.

Quantitative variables are those whose values are obtained through measurement or counting. A qualitative variable, also referred to as a category variable, is a non-numerical variable. It describes information that can be categorized. Examples like Eye colors, States, Dog breeds etc.

Any variable that isn't numerical is referred to as a qualitative variable or a category variable. It describes information that falls into a category. Generally speaking, a variable is considered to be quantitative if it can be used mathematically (such as addition). Otherwise, it's top-notch. You cannot, for instance, add blue and green.

To learn more about variable here:

https://brainly.com/question/29521826

#SPJ4

The information required to prove the triangles are congruent using SAS is

The term congruent triangles refers to triangles that has the dimensions of the sides and angles equal

In such a triangle, the side equivalent to the angles in comparison will be equal and so are the angles. Hence a congruent triangle is a copy of the other triangle

There are various theorem of proving congruent triangles but the one necessary here is the SAS which is Side - Angle - Side.

Since all the angles are given to be congruent any of the sides with the included angle forms the SAS theorem

Learn more on congruent angles : https://brainly.com/question/11949261

#SPJ1

To find the down payment, we need to multiply the price of the house by the percentage paid as a down payment:

Down payment = 16% × $460,000 = $73,600

The original amount financed is the price of the house minus the down payment:

Original amount financed = $460,000 - $73,600 = $386,400

To find the monthly payment, we can use the formula for a fixed-payment loan:

Monthly payment = (P × r) / (1 - (1 + r)^(-n))

where P is the principal (the original amount financed), r is the monthly interest rate (5.4% divided by 12), and n is the number of monthly payments (30 years times 12 months per year, or 360).

Monthly payment = ($386,400 × 0.0045) / (1 - (1 + 0.0045)^(-360)) = $2,187.28

To find the total amount of money Jenelle will spend on the home, we can multiply the monthly payment by the number of payments:

Total amount spent = (Monthly payment) × (Number of payments)

Number of payments = 30 years × 12 months per year = 360

Total amount spent = $2,187.28 × 360 = $788,020.80

Adding the down payment, the total cost of the home for Jenelle will be:

Total cost = $460,000 + $788,020.80 = $1,248,020.80

Answer:

Exact form:

1/1953125

Decimal form:

5.12x10^-7

Step-by-step explanation:

Answer:

1296

Step-by-step explanation:

\((3^3+3^2)^2\)

( 3 * 3 * 3 + 3 * 3 )²

( 27 + 9 )²

( 36 )²

36 * 36

1296

Answer:

\((3 {}^{3} + {3}^{2} {)}^{2} \)

\(((3 \times 3 \times 3) + (3 \times 3)) {}^{2} \)

\((27 + 9 {)}^{2} \)

\( {36}^{2} \)

\(36 \times 36\)

\(1296\)

Answer:

B

Step-by-step explanation:

It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.

Hearts: H

Clubs: C

Diamonds: D

Spades: S

If H lies, C tells the truth, therefor D lies. So S tells the truth

If H tells the truth, C lies. Therefore D tells the truth and S lies

Answer:

2

Step-by-step explanation:

If the knave of hearts did steal the tarts, then the knave of clubs is lying saying that the knave of hearts is lying which mean the knave of diamonds is actually telling the truth when the knave of clubs said the knave of diamonds is lying they are therefore lying.

So in the question may be knave of hearts and Knave of diamonds may be telling the truth OR knave of clubs and knave of spades are telling the truth.

In conclusion, Alice stole the tarts xoxo

Answer:

To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.

Step-by-step explanation:

Answer:

\(x = \frac{y + 2}{3} \)

Step-by-step explanation:

\(y = 3x - 2 \\ y + 2 = 3x \\ \frac{y + 2}{3} = \frac{3x}{3} \\ \\ x = \frac{y + 2}{3} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

The line which contains the points (4,0) and (0,-2), value of y when x =3 is,  -1/2

The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ =  y₂-y₁/x₂-x₁(x-x₁).

Given that,

The points, (4,0) and (0,-2)

Equation of line for given two points,

y-y₁ =  y₂-y₁/x₂-x₁(x-x₁)

y-0 =  -2 - 0/0-4(x-4)

y = 1/2(x - 4)

2y = x - 4

when x = 3,

y =  1/2(3 - 4)

y = - 1/2

Hence, the value of y is -1/2

To know more about Line check:

https://brainly.com/question/17188072

#SPJ1

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer:

11

Step-by-step explanation:

11 + 8 + 14 + v + 8 + 14

==================   = 11             Combine Terms

6

(55 + v) / 6 = 11                               Multiply by 6

55 + v = 11 * 6                                 Combine the right

55 + v = 66                                     Subtract 55

55-55+v = 66- 55

v = 11

Answer:

Step-by-step explanation:

Given equation is,

x² + (p + 1)x = 5 - 2p

x² + (p + 1)x - (5 - 2p) = 0

x² + (p + 1)x + (2p - 5) = 0

Properties for the roots of a quadratic equation,

1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]

2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]

3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].

Discriminant of the given equation = \((p+1)^2-4(1)(2p-5)\)

For real roots,

\((p+1)^2-4(1)(2p-5)>0\)

p² + 2p + 1 - 8p + 20 > 0

p² - 6p + 21 > 0

For all real values of 'p', given equation will be greater than zero.

Difference between Simple interest and Compound interest

What is Interest?

The expense of borrowing money, such as the interest added to a loan debt, is known as interest. The rate paid for money on deposit, as in the case of a certificate of deposit, can also be considered interest. Simple interest and compound interest are the two methods for calculating interest.

Simple interest is based on the principal amount, which is the main distinction between it and compound interest. Contrarily, compound interest is calculated using the principle sum and interest that has been compounded over the course of a period.

Simple Interest and Compound Interest Differences:

Simple interest: Simple Interest is the amount repaid for using the borrowed funds over a predetermined amount of time.

Compound Interest: When the total principal amount and the rate of interest for a certain amount of time surpass the due date for payment, this is known as compound interest.

Simple interest: S.I. = (P × T × R) ⁄ 100

Compound Interest: C.I. = P(1+R⁄100)^t − P

Simple interest: When compared to compound interest, the return is significantly smaller.

Compound Interest: The return is much higher.

Simple interest: The principal amount is constant

Compound Interest: Throughout the entire loan duration, the principle amount changes.

Simple interest: The principal amount is what the interest is based on.

Compound Interest: Its principal and accrued interest are covered by the interest that is imposed on it.

To learn more about Interest click on the link

https://brainly.com/question/16134508

#SPJ4

Since the distance from a point to point C is 1 and the distance from that same point to point B is 4, the point must be: C. point D.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

From the number line shown above, we have:

Distance = 4 + (-1)

Distance = 4 - 1

Distance = 3 (point D).

Read more on number line here: brainly.com/question/22515080

#SPJ1

Answer:

Step-by-step explanation:

Multiplication and division have the same precedence as a division can be written as a multiplication, that is, a division by x is equivalent to a multiplication by 1/x.

The precedence of operations is defined by the PEMDAS acronym, with a highest to lowest order of precedence, as follows:

More can be learned about precedence of operations at brainly.com/question/550188

#SPJ1

Answer:

7,200

Step-by-step explanation:

Let's start by calculating how many students the university accepts. The problem says they accept 60% of the students. 60% as a decimal is 0.6. To calculate 60% of something, you multiply .60 by whatever quantity. In this case, it would be the students.

Number of accepted students = \(.6 * 30000\) = 18,000

The university accepts 18,000 students.

Now, the next problem is that of those accepted students, we need to find out how many actually enroll. The problem says they accept 40% of the accepted students. Applying the same principle,

Number of enrolled students = \(.4 * 18000\) = 7,200

The number of students that actually enroll is 7,200.

Alternatively, \(.6 * 30000 * .4\) would give you the same result.

Combining the pieces together, we are asking for 60% of 30,000. Then getting 40% of that 60%.

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

Answer:

0.37

the seven is in the hundredths place

We would expect to see approximately 4.2 defects in total if two containers are inspected.

If the number of visible defects on a product container follows a Poisson distribution with a mean of 2.1, then the probability of having x defects on a single container is given by:

P(X = x) = \(e^(-2.1) * (2.1)^x / x!\)

where e is the mathematical constant approximately equal to 2.71828.

To find the expected number of defects in two containers, we can use the linearity of expectation, which states that the expected value of a sum of random variables is equal to the sum of their expected values. Therefore, the expected number of defects in the two containers is:

E(X1 + X2) = E(X1) + E(X2)

Since the Poisson distribution is memoryless, the expected number of defects in one container is equal to the mean, which is 2.1. Therefore:

E(X1 + X2) = E(X1) + E(X2) = 2.1 + 2.1 = 4.2

So, we would expect to see approximately 4.2 defects in total if two containers are inspected.

Learn more about random variables

https://brainly.com/question/17238189

#SPJ4

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

We have,

The stationing of the end of excavation can be determined by adding the given sections to the starting station.

Assuming the starting station is Station 2+020, the end of excavation would be at Station 2+080 (given as Station 2+020 + 60 meters).

To find the volume of fill by end area method, we need to calculate the area of the end section and multiply it by the distance between the start and end stations.

Given that the base for fill is 12 meters and the sideslope for fill is 2:1, the area of the end section can be calculated as follows:

Area of end section = (Base for fill) * (Sideslope for fill)

Area of end section = 12 * (2/1) = 24 square meters

Now, multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of fill:

Volume of fill = Area of end section * Distance

Volume of fill = 24 * 60 = 1440 cubic meters

Therefore, the volume of fill by end area method is 1440 cubic meters.

Similarly, to compute the volume of excavation by end area, we calculate the area of the end section (base for cut * sideslope for cut) and multiply it by the distance between the start and end stations. Given that the base for cut is 12 meters and the sideslope for cut is 1.5:1, the area of the end section can be calculated as follows:

Area of end section = (Base for cut) * (Sideslope for cut)

Area of end section = 12 * (1.5/1) = 18 square meters

Multiply the area of the end section by the distance between the start and end stations (60 meters) to find the volume of excavation:

Volume of excavation = Area of end section * Distance

Volume of excavation = 18 * 60 = 1080 cubic meters

Therefore, the volume of excavation by end area is 1080 cubic meters.

Thus,

The stationing of the end of the excavation is Station 2+080.

The volume of fill by end area method is 1440 cubic meters.

The volume of excavation by end area is 1080 cubic meters.

Learn mroe about earthwork constructions here:

https://brainly.com/question/25749167

#SPJ4

To show the formation of a sulfide ion from a neutral sulfur atom, we need to add two electrons to the sulfur atom, as sulfide ion has a charge of -2. Therefore, the equation for this process is: S + 2e- → S2-

In this equation, S represents the neutral sulfur atom, while S2- represents the sulfide ion that is formed after the addition of two electrons. This reaction is a reduction reaction, as sulfur is gaining two electrons to form a negatively charged ion.
In summary, the equation S + 2e- → S2- shows the formation of the sulfide ion from a neutral sulfur atom by adding two electrons to it. This equation highlights the importance of electron transfer in chemical reactions and how it can lead to the formation of new compounds.

To know more about sulfide ion visit:

https://brainly.com/question/19556031

#SPJ11

Answer: 2y=-3x+6 or y=-1.5x+3

Step-by-step explanation:

Move the 3x to the other side of the equation to get 2y=-3x+6.

Optional:

Simplify the equation to get y = -1.5x + 3

Answer:

just put the grains in a bag in a storeroom

Answer:

25 percent off 60.00 is 45.00

Step-by-step explanation:

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

To learn more about Sampling distribution here

https://brainly.com/question/13068170

#SPJ4

Using concept of linear inequality, number of least deliveries is 30 and value of freight is $60000.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given charge of $70 per delivery and A charge of 6.5% of the total value of the freight for each delivery and least amount is $102,000.

Let only one delivery is possible per day and no. of deliveries=n

amount of each freight=x

Therefore,

Linear inequality will be n(6.5/100**x+70)>102000

So least values of n and x will be

n=30 and x=$60000

Hence,

          number of least deliveries is 30 and value of freight is $60000.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1