:
Consider the expression 5.758−2.317. Estimate the difference by rounding each number to the nearest whole number and then subtracting.

Answer:

a

Step-by-step explanation:

Answer:

$2250

Step-by-step explanation:

First we calculate total payment made by her in 3 years time. This can be done by multiplying monthly payments by 36 months (3 years time). Then we deduct the same by the loan balance required to pay off. The difference of both is the interest paid over the three years. As done below

Total Payment = 201.39 x 36 = 7,250.04

Interest Paid = 7,250.04 - 5,000 = 2,250.04

Rounding off to whole number that is $2,250

The scale factor for the transformation of the pre-image ABC to A'B'C' shown in the figure is 5/2

How to estimate the scale factor of the dilation

From the question, we have the following parameters that can be used in our computation:

The transformation of the pre-image ABC to A'B'C'

By definition, the scale factor is simply the ratio of sides of two corresponding figures

So, the scale factor (S) would be:

S = A'B'C'/ABC

The actual measurements are given as

ABC = 2

A'B'C' = 5

Substitute the known values into the equation

S = 5/2

Hence, the estimated scale factor is 5/2

Answer:

Step-by-step explanation:

Answer:

(a) Mean = 36.05; (b) median = 37; (c) mode = 37  

Step-by-step explanation:

I am assuming your DFT is like this:

[tex]\begin{array}{c|c}\textbf{n} & \textbf{Frequency} \\33 & 0 \\34 & 3 \\35 & 3 \\36 & 3 \\37 & 10 \\\end{array}[/tex]

(a) Mean

The mean is the sum of all the data points divided by the number of points. I have done some of the calculations for you in the table below

[tex]\begin{array}{cccc}\textbf{n} & \textbf{f} & \mathbf{n\cdot f} & \mathbf{cf}\\33 & 0 & 0 &0 \\34 & 3&102 &3 \\35 & 3& 105 & 6\\36 & 3 &108 & 9\\37& 10& 370 & 19\\\textbf{SUM} & \mathbf{19}&\mathbf{685} \\\end{array}[/tex]

[tex]\begin{array}{rcl}\text{Mean} & = & \dfrac{\sum n}{n}\\\\& = & \dfrac{685}{19}\\\\& = & \mathbf{36.05}\\\end{array}[/tex]

(b) Median

The median is the middle value in your list of observations.

Your data set contains 19 terms, so the middle is (19/2)th term.

Count down the column of cumulative frequency (cf) until cf = 9½.

The 9½th term is 37.

Median = 37

(c) Mode

The mode is the value that appears most often in your list of observations.

It is obvious from your table that the number that occurs most frequently is 37.  

Mode = 37

The diagram below shows that the score of 37 is predominant.

The mean, median and mode are measures of central tendency in mathematics. They are found using a Frequency Distribution Table; calculate the mean by summing up the product of each data point and its frequency, then dividing by total frequency. The median is the middle number when data is in ascending order, and the mode is the number appearing most often.

In mathematics, the measures of central tendency referenced in your question; mean, median, and mode, are used to describe a set of data. Given your Frequency Distribution Table (FDT), here's how you would calculate each:

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Answer:

6^16

Step-by-step explanation:

4 x 4 = 16

Answer:

Step-by-step explanation:

if bases are equal then powers are added during multiplication.

x^a×x^b×x^c=x^{a+b+c}

here [tex]6^4 \times 6^4=6^{4+4}=6^8[/tex]

Answer:

bruh

Step-by-step explanation:

fpkgjdfgjd

Answer:

Step-by-step explanation:

width =x

length = 2x + 3

Perimeter = 48 feet

2*(length + width ) = 48

2*(2x + 3 + x) = 48

2*(3x + 3 ) = 48

3x +3 = 48/2

3x + 3 = 24

3x = 24-3

3x = 21

x = 21/3

x = 7

Width = x = 7 feet

length = 2x + 3 = 2*7 + 3 = 14+ 3 = 17 feet

The value of x is 1 in the solution to this system of equation.

Step-by-step explanation:

The system of equation are :

2x+y = -1  ---------(1)

x-y = 4  ---------(2)

Adding the equations (1) and (2),

2x+y = -1

x - y = 4  

3x    = 3  

⇒ 3x = 3

⇒ x=3/3

⇒ x = 1

Answer:

By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.

Step-by-step explanation:

A mathematical translation of the statement of the problem is:

[tex]x - y = \frac{7}{4}[/tex]

Where x, y represent the lengths of the longest and shortest feathers, respectively. Let assume that length of the shortest feather is 1/4 inches. Then, the length of the longest feather is:

[tex]x = y + \frac{7}{4}[/tex]

[tex]x = 2[/tex]

By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.

The length of the new feather that made the difference between the longest and shortest feathers is 1 3/4 inches.

The question is asking for the possible length of the new feather that made the difference between the longest and shortest feathers. We know that the difference between these feathers is 1 3/4 inches.

To find the length of the new feather, we need to consider the lengths of the longest and shortest feathers.

Let's say the length of the shortest feather is x inches. Then, the length of the longest feather would be x + 1 3/4 inches. So, the equation would be: (x + 1 3/4) - x = 1 3/4 inches.

Simplifying the equation, we get: 1 3/4 = 1 3/4 inches.

Therefore, the length of the new feather is 1 3/4 inches.

Answer: answer is B, long term asset

Step-by-step explanation:

This is because cars are depreciated over time. It is therefore reported under the long term asset in a balance sheet.

Answer:

  6:00 AM

Step-by-step explanation:

London is 9 hours behind Tokyo, so it is still 6:00 AM in London when it is 3:00 PM in Tokyo.

Answer:

[tex]3y + 2 [/tex]

Step-by-step explanation:

We want to find a common factor for

[tex]3 {y}^{3} + 2 {y}^{2} [/tex]

and

[tex]6 {y}^{4} + 4 {y}^{3} [/tex]

We factor each of them to get;

[tex]3 {y}^{3} + 2 {y}^{2} = {y}^{2} (3y + 2)[/tex]

and

[tex]6 {y}^{4} + 4 {y}^{3} = 2 {y}^{3} (3y + 2)[/tex]

We can observe now that;

The factor common to both expression is

[tex]3y + 2[/tex]

Answer:

63cm³

Step-by-step explanation:

Volume of a pyramid:

⅓ × base area × height

⅓(7×3)×9

= 63 cm³

Answer:

9/23

Step-by-step explanation:

Students who play at least 1 sport = 23-8

= 15

Students playing both sports = (11+13)-15

= 24-15

= 9

Probability = 9/23

Alternatively,

A venn diagram could be drawn

The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.

First step

Either (or both) sports =(23 - 8)=15 students play

Both=[11 basketball and 13 baseball)-15]= 9 must play both

Second step

Probability=9/23

Probability=0.39 or 39%

Therefore the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.

Learn more about probability here:https://brainly.com/question/24756209

Answer:

D

Step-by-step explanation:

as 70⁰F is s positive number it is greater than any negative number, to in order to see how far apart it is, you have to subtract the lower number from the higher number hence 70⁰F-(-225⁰F) because the 225⁰F is a negative that you are subtracting, 70⁰+225⁰F could also work, as the two negative cancel out

Answer:

40

Step-by-step explanation:

Plug x=-9 in. -9-8+(-9×(-8)) -15=-17+72-15=-17+72-15=40. I hope this helped!

Answer:

40

Step-by-step explanation:

72-32=40

Answer:

31/40 has to be added to the sum of 5/8 and 8/5 to get 3​.

Step-by-step explanation:

Solve this equation:  5/8 + 8/5 + f = 3, where f is the number that has to be added to the sum of 5/8 and 8/5.

The LCD of 5/8 and 8/5 is 40; thus, 5/8 + 8/5 = 25/40 + 64/40 = 89/40.

Then 89/40 + f = 120/40 (where 120/40 is equivalent to 3).

Subtracting 89/40 from both sides yields the desired result:

f = (120 - 89)/40 = 31/40

31/40 has to be added to the sum of 5/8 and 8/5 to get 3​.

Answer:

[tex]\frac{31}{40}[/tex]

Step-by-step explanation:

let the unknown be x

[tex]\frac{5}{8} + \frac{8}{5} + x =3[/tex]

[tex]\frac{25+64+40x}{40} = 3[/tex]

cross multiply

25 + 64 + 40x = 3 × 40

89 + 40x = 120

collect like terms

40x = 120 - 89

40x = 31

divide both sides by 40

x = [tex]\frac{31}{40}[/tex]

therefore, [tex]\frac{31}{40}[/tex] has to be added to the sum of 5/8 and 8/5 to get 3

Answer: A movie ticket is $9 while a snack is $2

Step-by-step explanation: We shall let a movie ticket be m while a snack is s. So, from the clues given, if two movie tickets and three snacks cost $24, we can write it as the following expression;

2m + 3s = 24

Also if three movie tickets and four snacks cost $35, we can as well write another expression as follows;

3m + 4s = 35.

Now we have a pair of simultaneous equations which are

2m + 3s = 24 ----------(1)

3m + 4s = 35 ----------(2)

We shall solve this by using the elimination method, since none of the variables has a coefficient of 1. We'll start by multiplying equation (1) by 3 and multiplying equation (2) by 2 (so as to eliminate the m variable)

2m + 3s = 24 -------- x3

3m + 4s = 35 ---------x2

We now arrive at the following

6m + 9s = 72--------(3)

6m + 8s = 70--------(4)

Subtract equation (4) from equation (3) and we arrive at

s = 2

Having determined that s equals 2 we can now substitute for the value of a into equation (1)

2m + 3s = 24

2m + 3(2) = 24

2m + 6 = 24

Subtract 6 from both sides of the equation

2m + 6 - 6 = 24 - 6

2m = 18

Divide both sides of the equation by 2

m= 9

Therefore one movie ticket costs $9 while one snack costs $2

Answer:

85.30184

Step-by-step explanation:

1ft........30.48cm

x .........2600cm

x=2600×1/30.48=85.30ft

Answer: 85.30ft

Answer:

18

Step-by-step explanation:

x-6y

Let x = 48 and y=5

48 -6(5)

48 - 30

18

Answer:

The numbers are 93, 94, 95 and 96

Step-by-step explanation:

Four consecutive integers add up to 378.

Let the first number be x

Second number will be x+1

Third number will be x+2

And the fourth number will be x+3

These four numbers add up to 378

Which means, we add them up

x + (x+1) + (x+2) + (x+3)=378

x+x+1+x+2+x+3= 378

Collect like terms

4x+6=378

4x= 378-6

4x=372

Divide both sides by 4

x=378/4

x=93

The first number is 93

The second number is x+1 = 93+1= 94

The third number is x+2= 93+2= 95

The fourth number is x+3= 93+3=96

Add up the four numbers

93+94+95+96 = 378

Answer:

x = 20

Step-by-step explanation:

When a line is on two lines, it means they are congruent. This means they have the same value.

The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

Step-by-step explanation:

Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:

[tex]\frac{x_1+x_2+.....+x_2_8}{28} = 11[/tex] where [tex]x_1, x_2, ....., x_2_8[/tex] are athletes

⇒ [tex]x_1 + x_2 + .. + x_2_8 = 11(28)= 308[/tex]

⇒ [tex](x_1 + x_2 + .. + x_8 )+ (x_9+x_1_0+...+x_2_8) = 308[/tex]

⇒ [tex](\frac{x_1 + x_2 + .. + x_8}{8} )(8)+ (\frac{x_9+x_1_0+...+x_2_8}{20} )(20) = 308[/tex]

⇒ [tex]10.5(8)+m(20) = 308[/tex] , where m is average time of the 20 athletes who did not qualify for the final.

⇒ [tex]84+m(20) = 308[/tex]

⇒ [tex]20m= 224[/tex]

⇒ [tex]m=11.2[/tex]

∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .

Answer:

just do the steps accordingly

Step-by-step explanation:

asdv

Hey there! Welcome to Brainly!

When solving equations for a variable, our goal is to get the variable all by itself on one side of the equation to show what it equals.

In your case, there are two variables, but there is no need to worry! Just pretend like C is another number; you are still solving for x.

So, how do we isolate the x? What we need to do is use inverse operations. If you were to say that x+1=20, how would you figure out what x is? Well, you have to get rid of the one next to the x. We need to subtract this one. But, if we subtract the one, we have to do it to the other side of the equation as well so that it balances it out. This leaves us with x=19.

Now, let's figure out your problem. You have a few more steps. When solving bigger equations, you first undo the constants (terms without a variable) and then the coefficients (numbers with variables attached).

So, the first thing we need to do is add 20 to both sides to cancel out the subtracting on x's side.

C+20=25x-20+20

C+20=25x

Now, we need to divide both sides by 25 to completely isolate the x.

(C+20)÷25=x

In algebra, it is customary to put the x on the left side of the equation, so we will just flip it around.

x=(C+20)÷25

We can further simplify this because the 20 in the numerator and 25 in the denominator are not in simplest form.

[tex]\frac{C+20}{25} =\frac{C+4}{5}[/tex]

Given this information, you should be able to put the steps in order accordingly.

I hope this helps! Have a great day!

Answer:

140 feet²

Step-by-step explanation:

10 × 14 = 140

Answer:

X=4

Step-by-step explanation:

2x+3=11

Substrate 3 from both sides

2x=11-3

2x=8

Divide both sides by 2

X=4

The value of X is 4.

please see the attached picture for full solution

Hope it helps

Answer: D. 30 year fixed, 10% down at a fixed rate of 5%

Step-by-step explanation:

The total cost of the house is $276,650.

He has in his savings $28,000

10% of $276,650 = $27,665. This will cover for the down payment.

His monthly income is $4,475 and he will like to spend 30% of it on his mortgage = $4,475* 30%= $1,342.50.

From the bal of mortgage =

$276,650 - $27,665 = $248,985

$248,985/ (30*12) = $691.625 $248,985* 5% /12= $1037.45

Total monthly repayment = $1037.45+ 691.63= $1729.08

Answer:

b. 30 year fixed, 5% down at a fixed rate of 6.25%

Step-by-step explanation:

Answer:

22.5 km

Step-by-step explanation:

Speed = distance/time

Given speed = 75km/h

time = 18 mins

Distance = ?

Given the speed is in km/h , convert the time from minutes to hour .

18/60 = 0.3 hours

Therefore,

75 = distance/0.3

Cross multiply

75 x 0.3 = distance

22.5 = distance

Distance = 22.5 km

Answer:

Step-by-step explanation:

-14 is an integer

We can also tell as rational number

as -14 can be written in the form p/q, ie -14/1