I can't figure this out​

Answer:

5x=20

Step-by-step explanation:

3x+3y=3*6=18

then I can cancel out he 3x

-2y-(+3y)=8-18

-5y=-10        y=2

x=4--------> 5x=20

Answer: 4c+32

Step-by-step explanation:

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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For the given rectangular right prism the volume of the composite figure is 444 cubic inches.

What is rectangle?

A rectangle is a four-sided flat shape with straight sides where all interior angles are right angles (90°). It is a type of quadrilateral and can be defined as a parallelogram with four right angles.

To find the volume of the composite figure, we need to find the volume of the rectangular prism and the two square pyramids and then adjust for the addition and subtraction.

The volume of the rectangular prism is:

\(V_{rectangular\ prism\) = length x width x height

\(V_{rectangular\ prism\) = 12 x 6 x 6

\(V_{rectangular\ prism\) = 432 cubic inches

The volume of the first square pyramid that is cut from the prism is:

\(V_{cut\ pyramid\) = 1/3 x base area x height

\(V_{cut\ pyramid\) = 1/3 x \(6^2\) x 3

\(V_{cut\ pyramid\) = 36 cubic inches

Now, we need to subtract the volume of the cut pyramid from the volume of the rectangular prism:

\(V_{adjusted} = V_{rectangular\ prism} - V_{cut\ pyramid\)

\(V_{adjusted\) = 432 - 36

\(V_{adjusted\) = 396 cubic inches

The volume of the second square pyramid that is added to the opposite base is:

\(V_{added\ pyramid\) = 1/3 x base area x height

\(V_{added\ pyramid\) = 1/3 x \(6^2\) x 4

\(V_{added\ pyramid\) = 48 cubic inches

Finally, we need to add the volume of the added pyramid to the adjusted volume of the rectangular prism:

\(V_{composite\ figure} = V_{adjusted} + V_{added\ pyramid\)

\(V_{composite figure} = 396 + 48\)

\(V_{composite figure} = 444\ cubic\ inches\)

Therefore, the volume of the composite figure is 444 cubic inches.

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The area of triangle in given figure is = 60 cm²

A triangle is a three-sided polygon that is formed by connecting three non-collinear points in a plane.The sum of the interior angles of a triangle is always 180 degrees, and the length of each side can be determined by the application of the Pythagorean theorem or other trigonometric functions, depending on the given information. Triangles can also be classified based on the size of their angles and the lengths of their sides, which give rise to various types of triangle such as equilateral, isosceles, scalene, acute, right, and obtuse triangles.

According to quesrtion

Given height = 3cm

Base = 10cm

if the height is quadrupled then height = 4 × 3 = 12cm

Area = 1/2 × base × height

= 1/2 × 70 × 12

to solve this we get

Area = 60cm²

So, the area of this triangle is 60cm²

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if angle m∠2 = 120°, then m∠7 is 120°.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Supplementary angles are those angles that sum up to 180 degrees.

Given that  m∠2 = 120°.

We have to find the  m∠7.

m∠2  and m∠4 are supplementary angles.

120+m∠4=180

m∠4=60 degrees.

m∠4 is corresponding angle of m∠8.

m∠8 and m∠7 are again supplementary angles.

60+m∠7=180

m∠7=120 degrees.

Hence, if angle m∠2 = 120°, then m∠7 is 120°.

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Answer: Uhhhhh no question...

Step-by-step explanation:

Answer:

heheheeheh

Step-by-step explanation:

Given :

7x is an odd integer.

To Find :

The next odd integer as an algebraic expression in x.

Solution :

All positive integers are :

1 , 2 , 3 , 4 , 5 , ......

From the above series we noticed that every other odd number is 2 more than the previous one.

So , 7x is an odd number.

Therefore, next odd number is 7x + 2.

Hence, this is the required solution.

Answer:

Step-by-step explanation:

The rule for reflection over the x-axis:

Apply the rule to the given points:

Correct option is C.

Answer:

Correct answer is

option c

The setup cost for printing the math workbooks, given the printed cost of the books, is $ 1, 800

The setup cost for printing the math workbooks is a fixed cost which means that it will not change regardless of the number of books that are printed.

Since we know that 1, 000 books are printed to be $ 14, 300 and that 5, 000 books cost $ 64, 300, we can find the cost of the books without the setup cost to be :

= Difference in cost of books / ( Difference in number of books )

= ( 64, 300 - 14, 300 ) / ( 5, 000 - 1, 000 )

= 50, 000 / 4, 000

= $ 12. 50

The setup cost is therefore :

= Cost of printing -  (Number of books x cost per book )

= 14, 300 - ( 1, 000 x 12 .5)

= $ 1, 800

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The values of the missing angles and sides after dilation are:

m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

m∠C'B'D = 180° - m∠B'C'D' - m∠B'D'C'

m∠B'C'D = m∠BCD, m∠B'D'C' = m∠BDC  (dilation)

m∠C'B'D = 180° - 34° - 51° = 95°

Thus, by way of scale factor we can say that:

BC/B'C' = BD/B'D' = 36/18 = 2

B'D' = ¹/₂BD = ¹/₂ * 22 = 11

ΔC'P'Q ∼ ΔCPQ

Thus:

C'Q'/CQ = C'D'/CD = D'Q'/DQ

CQ = 2C'Q' = 2 * 3 = 6

Therefore, m∠C'B'D' = 95°,  CQ = 6 and  B'D' = 11.

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Answer:

c

Step-by-step explanation:

The value of x that will make the linear equation in the algebraic expression true  is 6.5

A linear equation is a mathematical statement, which has an equality statement between the algebraic expression. In all linear equations, they represent equations with a degree of 1. This is also the equation for the straight line. The solutions to linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable just as given in this question, we expect the value of the answer to be one.

In the question, we have an equation given as;

-8.5x - 3.5x = -78

To determine what value of x will make the equation true, we have to simplify the equation.

-8.5x - 3.5x = -78

-12x = -78

Divide both side by the coefficient of x

-12x / -12 = -78/-12

x = 6.5

The value of x is 6.5

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simplest form 4 : 2 : 2 is 2:1:1

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Kim has 0.2 of a book left to read. She plans to read the same amount of the book each day for 5 days.

Kim reads the remaining  part of the book in 5 days

Thus in 5 days she reads 0.2 parts of the book

Then in 1 day she would read 0.2/5=0.04 parts of the book

Hence, KIm read 0.04 parts of the book per day for a span of 5 days to complete the book.

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Answer:

the surface area would be 353 in for the pyramid

Step-by-step explanation:

To prove congruence, we need to have enough information about all six corresponding parts of the triangles, or enough information to apply one of the congruence criteria (SAS, ASA, etc.).

To show that two triangles are congruent, we need to have enough information to prove that all six pairs of corresponding parts (angles and sides) are congruent.

This is known as the Side-Angle-Side (SAS) or Angle-Side-Angle (ASA) congruence criteria, depending on the order of the corresponding parts.

For example, if we know that two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then we can prove that the two triangles are congruent using the SAS criterion.

Similarly, if we know that two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then we can prove that the two triangles are congruent using the ASA criterion.

However, if we only have information about one or two pairs of corresponding parts, it may not be enough to prove congruence.

For example, knowing that two triangles have the same base and height (which are corresponding parts), does not necessarily mean that they are congruent, as there could be other non-congruent triangles with the same base and height.

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Here's a Scheme function that checks whether a matrix is symmetric or not:

```scheme

(define (is-symmetric-matrix matrix)

 (define (get-element matrix i j)

   (if (null? matrix)

       #f

       (if (= i 0)

           (if (null? (car matrix))

               #f

               (if (= j 0)

                   (car (car matrix))

                   (get-element (cdr matrix) i (- j 1))))

           (get-element (cdr matrix) (- i 1) j))))

 (define (is-matrix-symmetric-helper matrix i j)

   (if (null? matrix)

       #t

       (if (equal? (get-element matrix i j)

                   (get-element matrix j i))

           (is-matrix-symmetric-helper matrix i (+ j 1))

           #f)))

 (if (null? matrix)

     #t

     (is-matrix-symmetric-helper matrix 0 0)))

```

The function `is-symmetric-matrix` takes a matrix as an input, which is represented as a list of lists. It uses a helper function called `is-matrix-symmetric-helper` to compare each element of the matrix with its corresponding element in the transposed position. The `get-element` function is used to retrieve the element at position `(i, j)` in the matrix.

The `is-matrix-symmetric-helper` function recursively iterates over the matrix, comparing each element with its transposed element. If any pair of corresponding elements is found to be different, it immediately returns `#f` (False), indicating that the matrix is not symmetric. If it reaches the end of the matrix without finding any differences, it returns `#t` (True), indicating that the matrix is symmetric.

Finally, the main `is-symmetric-matrix` function first checks if the matrix is empty. If it is, it immediately returns `#t` since an empty matrix is considered symmetric. Otherwise, it calls the helper function with the initial indices `(0, 0)` and returns its result.

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Answer:

It is the first option: -\(\sqrt{25}\), -\(\frac{22}{4}\), -560%, -2\(\pi\)

Answer:

Step-by-step explanation:

Answer:  B

Step-by-step explanation:

The recursive formula for our sequence is the one in the first option.

aₙ = aₙ₋₁ + 6

With a₁ = 7

Here we have the following sequence:

7, 13, 19, 25, ...

This one seems to be an arithmetic sequence, to check this, let's take the difference between consecutive terms:

13 - 7 = 6

19 - 13 = 6

25 - 19 = 6

This means that the recursive formula for our sequence is "add 6 to the previous term" or:

aₙ = aₙ₋₁ + 6

With a₁ = 7

so the correct option is the first one.

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Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.

Answer:

Step-by-step explanation:

Given,

Length (l) = 2(7z + 3) = 14z + 6

Breadth (b) = 5z

Now,

Perimeter of rectangle (P) = 2(l + b)

                                           =2(14z + 6 + 5z)

                                           =2(19z + 6)

                                           =38z + 12

Answer:

\(r=10.5\)

Step-by-step explanation:

≿━━━༺❀༻━━━≾

hope it helps..

have a great day!!

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Pythagoras theorem.

so, we get as,

==> (14)^2 + r^2 = (7+r) ^2

==> 196 + r^2 = 49 + 14r + r^2

=> cancelling r^2 from both sides, we get as,

==> 196 = 49 + 14r

==> 14r = 196-49

==> 14r = 147

==> r = 147/14 = 10.5

==> r = 10.5 units,

hence, r = 10.5 units

Answer:

1 and 1/16

Step-by-step explanation:

5/8 can also equal 10/16 by multiplying the numerator and the denominator by 2 so now the problem is 10/16+7/16

10+7=17 and 16 moves over so now its 17/16 and thats improper so you see how many times 16 goes into 17 and its once and there is one extra so the answer is 1 and 1/16

Answer:

1. I would think it would be a appropriate to use a normal model to figure this out because sometimes when you are using stuff online you can get the same number like 20 times in a row, whereas, if you use a real dice, you most likely won't roll the same number 20 times.

2. { sorry two doesn't make sense }