(2x2 + 7x) + (2y2 + 6y) = (2y2 + 6y) + (2x2 + 7x) ✓ commutative property What is the answer

6 libras de café y 5 de azúcar costaron 227 pesos y 5 libras de café y 4 libras de azúcar (a los mismos precios) costaron 188 pe

nlexa [21]

Answer:

The price of one pound of coffee is 32 pesos

The price of one pound of sugar is 7 pesos

Step-by-step explanation:

The question in English is

6 pounds of coffee and 5 pounds of sugar cost 227 pesos and 5 pounds of coffee and 4 pounds of sugar (at the same prices) cost 188 pesos Find the price of one pound of coffee and one pound of sugar.

Let

x-----> the price of one pound of coffee

y-----> the price of one pound of sugar

we know that

6x+5y=227 -----> equation A

5x+4y=188 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (32,7)

see the attached figure

therefore

The price of one pound of coffee is 32 pesos

The price of one pound of sugar is 7 pesos

6 0

3 years ago

(8*5)*11=8*(5*11) is an example of what property

wlad13 [49]

(8*5)*11=8*(5*11)
associated property of multiplication

7 0

3 years ago

Read 2 more answers

All four-sided figures are parallelograms explain pls

Nina [5.8K]

Answer and Step-by-step explanation:

A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. On the other hand, not all quadrilaterals and parallelograms are rectangles. A rectangle has all the properties of a parallelogram, plus the following: The diagonals are congruent.

Definition 1: A parallelogram is a four sided figure where the opposite sides are parallel.

Theorem 1: In a parallelogram, the opposite sides are of equal length.

Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram.

Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

Theorem 4: If one pair of opposite sides in a four sided figure are both opposite and parallel, then the figure is a parallelogram.

Definition 2: A rectangle is a quadrilateral where all four angles are the same size.

Theorem 5: A rectangle is a parallelogram.

Theorem 6: A rectangle is a parallelogram if and only if the diagonals are the same length.

Definition 3: A rhombus is a quadrilateral where all four sides have the same length.

Theorem 7: A rhombus is a parallelogram.

Theorem 8: A quadrilateral is a rhombus if and only if the diagonals are perpendicular bisectors of each other.

Theorem 9: A quadrilateral is a rhombus if and only if the diagonals bisect all the vertex angles.

#teamtrees #PAW (Plant And Water)

3 0

3 years ago

Question in the image

Komok [63]

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

8 0

3 years ago

Two terms of an arithmetic sequence are a5=23 and a20=98. find the first 60 terms of the sequence

Mariulka [41]

Answer:

$-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258$

Step-by-step explanation:

The nth term of an arithmetic sequence is obtained using the formula:

$a_n=a+(n-1)d$

Given that: $a_5=23$ and a_{20}=98.$

a_n=a+(n-1)d

$a_5=23=a+(5-1)d \implies a+4d=23\\a_{20}=98=a+(20-1)d \implies a+19d=98\\$We solve simultaneously$:\\a+19d=98\\a+4d=23\\15d=75\\d=5\\Recall:a+4d=23\\a+4(15)=23\\a=23-60\\a=-37$

Therefore, the first 60 terms of the sequence are:

$-37,-32,-27,-22,-17,-12,-7,-2,3,8,\\13,18,23,28,33,38,43,48,53,58\\63,68,73,78,83,88,93,98,103,108\\113,118,123,128,133,138,143,148,153,158\\163,168,173,178,183,188,193,198,203,208,\\213,218,223,228,233,238,243,248,253,258$

3 0

3 years ago