There are a total of 32 books and calculators on a table. The ratio of the number of books to the
number of calculators is 5: 3. How many calculators are on the table?
A. 3
B. 12
C. 20
D. 24

Using the values for x and y and substituting these values in the expression of equations provided, The answer is 23 and 1728.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

When a variable (or set of letters) in an algebraic statement is substituted, its numerical value is used instead. The expression's total value can then be calculated.

x=3 and y=4

[tex]x^2 + 2(x+y)\\=3^2 + 2* (3+4)\\=9+2*7\\=9+14\\=23[/tex]

[tex](xy)^3\\=(3*4)^3\\=12^3\\=1728[/tex]

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Answer:

1

Step-by-step explanation:

if you put the line of symmetry anywhere else but down vertically it would not work .

By altering schedules without giving adequate notice, terminating employees without giving adequate notice, and making false claims about its products, company x is not adhering to best practises.

These include bar codes, ISBNs, ASCII codes, postal codes, and bank account numbers; many of these contemporary codes use a checking mechanism, also known as a check digit. The ISBN system, now used uniformly on all new books, is one illustration of this.

Adopting sensible company procedures and policies with reference to apparently contentious issues is referred to as practicing business ethics. Corporate governance, market manipulation, bribery, racism, social duty, and fiduciary responsibilities are a few of the topics that come up in an ethical discussion.

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Answer:

The first one is right...

Step-by-step explanation:

Answer: $26.99

Step-by-step explanation:

53.98/2=26.99

Answer:

1 008.56628 US$ kkkkkkkkkk

Answer:

$43352.9053

Step-by-step explanation:

Not sure if this is what you wanted to do, but 1,207.43% of 83.53 is 43352.9053, So there you go.

Answer:

37

Step-by-step explanation:

top triangels 3 x4 = 12

Side triangels 1 x 5 = 5

the squer   4x 5 = 20

20 +5 +12= 37

Answer:

Step-by-step explanation:

20 inches i think

Answer:

To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:

Subtract your original score from your revised score to find the difference: 15 - 5 = 10

Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%

This means that your grade increased by 200%.

Step-by-step explanation:

According to question as both side are equal so it is an isosceles triangle and the value of X is 18.

An isosceles triangle is a triangle with two sides of equal length. Some properties of an isosceles triangle include:

so In this triangle ,

The mid point on horizontal side is given and 5m line cut the mid point of both the sides.

both side are equal as it is an isosceles triangle.

and given in the question,

side/2 =9

and  one side is equal to x.

and both sides are equal,

therefore

side = 9*2 = 18

so the value of x = 18.

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Answer:

y - 1 = 3/2 (x + 10)

Step-by-step explanation:

Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.

Here is Point-slope equation:

y - Y = m(x - X)

Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.

The slope given is 3/2, fill that in for m.

y - Y = m(x - X)

y - 1 = 3/2 (x - -10)

y - 1 = 3/2 (x + 10)

The equation is

y - 1 = 3/2 (x + 10)

Answer:

J

Step-by-step explanation:

mode = 56

mean = 37.4

median = 35

Answer:

4.9375 lbs

Step-by-step explanation:

Reason:

There are 6 sides to the number cube. It gives 6*6*6 = 216 ways to roll three such dice. Only one of those ways has the sequence "1,1,1" that we're after. Therefore, the probability is 1/216.

It roughly approximates to 0.0046296; which is about a 0.46% chance of happening.

This all assumes that each side is equally likely. The answer will be different if the die is loaded in some fashion.

Answer:

look below!

Step-by-step explanation:

To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex

4

- + 2 = x = 10

5

this is how i see it..... 4 5ths plus 2 equals 10

Answer:

the average rate of change is 2 with an intercept of 5

Step-by-step explanation:

Rewriting the sum in the form a(b+c) such that the integers b and c have a common factor. 35+42 is 7(5 + 6).

The process of factorization simply has to do with the division of arithmetic algebraic expressions into the sum of their factors. in this case, multiplying the variables will yield the original expression. It means the writing of a number into smaller or simpler numbers that give the original number.

The common factor to both 35 and 42 is 7. This will be:

35 + 42 = 7(5 + 6)

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Complete question

How do i rewrite the sum in the form a(b+c) such that the integers b and c have a common factor. 35+42

Answer:

3

Step-by-step explanation:

Answer:

2.93

Step-by-step explanation:

5.90-2.97=2.93

Therefore , the solution of the given problem of median comes out to be

confidence interval = [ 51.708 , 64.558 ].

When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.

Here,

(48, 51, 65, 71, 61, 45, 48, 72, 74, 66, 43, 47, 70, 66, 45) sample data; sample mean, x = 58.133; sample size, n = 15; standard deviation, s = 11.6;

Standard deviation equals sd/√(n)

where, n = sample size and sd = standard deviation

Margin of error is equal to t alpha/2 and the standard error is (11.6/√( (15)) = 2.995. (standard error)

where ta/2 is the t-table level of significance, alpha is 0.05 from the standard normal table, the two-tailed value of |t alpha/2| with n-1 = 14 d.f is 2.145, and the margin of error is 2.145 * 2.995, which equals 6.425. The confidence interval for this margin of error is [58.133 6.425] = [51.708, 64.558].

being that,

sample data: (48 , 51 , 65 , 71 , 61 , 45 , 48 , 72 , 74 , 66 , 43 , 47 , 70 , 66 , 45 )

sample mean, x =58.133

standard deviation, s =11.6

sample size, n =15

level of significance, alpha = 0.05

from standard normal table, two tailed  value of |t alpha/2| with n-1 = 14 d.f is 2.145

we use CI = x ± t a/2 * (sd/ √((n))

where,

x    = mean

sd   = standard deviation

a    = 1 - (confidence level/100)

ta/2 = t-table value

CI   = confidence interval

confidence interval = [ 58.133 ± t a/2 ( 11.6/ sqrt ( 15) ]

= [ 58.133-(2.145 * 2.995) , 58.133+(2.145 * 2.995) ]

=  [ 51.708 , 64.558 ]

Therefore , the solution of the given problem of median comes out to be

confidence interval = [ 51.708 , 64.558 ].

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Answer:

842 grams

Step-by-step explanation:

[tex]70\frac{1}{6} =\frac{421}{6}[/tex]

[tex]\frac{421}{6} *12\\\\842[/tex]

One cake consists of 421/6 grams of chocolate.

Since Sally wants to give 1 cake to 12 friends, we multiply 421/6 and 12.

To make 12 cakes, she needs 842 grams of chocolate.

Answer:

x is the variable

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

There is two expression

Answer:

b

Step-by-step explanation:

120/3 = 40

40 miles in 1 hour

Answer:

B. y = 40x

Step-by-step explanation:

120 miles in 3 hours, that means every hour the train traveled 40 miles.

The amount of money that can be saved per ounce by guiding the larger box is $0.009.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.

For the larger box -

38 ounce box of cat food costs $1.69

1 ounce of this box will cost $(1.69/38) = $0.045

For the smaller box -

24 ounce box of cat food costs $1.29

1 ounce of this box will cost $(1.29/24) = $0.054

Money that can be saved per ounce by guiding the larger box -

0.054 - 0.045

0.009

Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.

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Answer:

[tex]20\ln(5)-16\approx16.18876[/tex]

Step-by-step explanation:

[tex]\displaystyle\int\int\limits^{}_R {\frac{4x}{1+xy} } \, dA\\\\\\=\int\limits^4_0\int\limits^1_0 {\frac{4x}{1+xy} } \, dy \, dx\\\\\\=\int\limits^4_0 {\ln(1+xy)\biggr|_0^1} \, dx\\\\\\=\int\limits^4_0 {\ln(1+x)} \, dx\,\,\,\,\,\,\,\,\,\,\,\,\bigr(u=\ln(1+x),\,dv=dx\bigr)\\\\\\=4\biggr(x\ln(1+x)\biggr|_0^4-\int\limits^4_0 \frac{x}{1+x} \,dx\biggr)\\\\=4\biggr(4\ln(5)-\bigr[x-\ln(1+x)\bigr]\biggr|_0^4\biggr)\\\\=4\biggr(4\ln(5)-\bigr[4-\ln(5)\bigr]\biggr)\\\\=4\biggr(5\ln(5)-4]\biggr)\\\\=20\ln(5)-16[/tex]

Answer:

Yes

Step-by-step explanation:

If a right triangle, then the Pythagorean theorem will show an equality of the sum of the squares of the two shorter legs equal to the square of the longest leg.

does 39² + 80² = 89² ?

1521 + 6400 = 7921, yes

it is a right triangle

Answer: hello your question is incomplete attached below is the complete question

answer :  

a) 85.0

b) 27.4

c)  (82.26,   87.74 )

Step-by-step explanation:

Given data :

95% confidence interval

x ( mean ) = 85

s = 8.8

n ( sample size ) = 42

using t-distribution

a) calculate the point estimate

The point estimate = 85.0  given that a sample mean is the same as a point estimate of the sample population

b) calculate the Margin of error

df = 42 - 1 = 41

∝ = 0.05

critical value ( T ∝/2 , 41 ) = 2.02

hence ; margin of error  ( E )

=    2.74 ( using margin of error calculator )

c) The 95% confidence interval

 = 85 ± 2.74

(82.26,   87.74 )

Answer:

x=18

Step-by-step explanation:

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