Solve the system of equations using the elimination method.
3x + 4y = -2
2x + 3y = -1

Answer:

Step-by-step explanation:

coffee=c

cakes=d

c+2d=8

2c+3d=14

c=8-2d

2(8-2d)+3d=14

16-4d+3d=14

-d=-2

d=2

c+4=8

c=4

coffee=4 dollars each

cakes=2 dollars each

The price of coffee is $4 and price of slice of cake is $2.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

One coffee and two slices of cake cost 8 dollars in total.

Two coffees and 3 slices of cake cost 14 dollars in total.

let the price of coffees sold be x

let the price of slices of cake sold be y

Then, the system of equations are

x+ 2y = 8

2x+ 3y = 14

On solving

2(8- 2y)+ 3y= 14

16 - 4y + 3y= 14

-y= -2

y= 2

and, x = 8- 2(2)= 8- 4= 4

Hence,  price of coffee is $4 and price of slice of cake is $2.

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Answer:

option C is correct answer of this question

Answer:

the answer is c 2 teaspoons

Step-by-step explanation:

if you divide 84 by 21 you would get 4.  then you multiply 1/2 by 4 and get 2 teaspoons.

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Answer:

Step-by-step explanation:

The answer for the second part of the question would be.

C)The result suggests that there's a positive correlation between taking 10-minutes breaks during the say and developing cancer in public workers.

The correct option is A, The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.

The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.

The health ministry only distributes forms to workers every five years to collect information on office jobs and worker health concerns. They are just monitoring the workers, and the survey allows them to assess and establish a link between office employment and worker health concerns. Therefore, it is an observational study.

The conclusion that can be concluded from this study is that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.

Hence, the correct option is A, The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.

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Answer:64 people

Step-by-step explanation: total no. of members=80

%decrease=20

20/100 x 80=16(people that left)

people rem.=80-16

Answer:

Area of the remaining patio = 2.67 square yards

Step-by-step explanation:

Width of the remaining area of the patio = [tex]\frac{2}{3}[/tex] yards

Length of the remaining area of the patio = 4 yards

Since, area of the remaining area of the rectangular patio

= Length × Width

= [tex]\frac{2}{3}\times 4[/tex]

= [tex]\frac{8}{3}[/tex]

= 2.67 square yards

Therefore, area of the remaining area of the patio = 2.67 square yards

Answer:

B. Equilateral

It is an equilateral triangle

As we can see all sides are equal.

Equilateral Triangle

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

Statements:                                                        Reasons:

[tex]1)\text{ } \Delta PQR\text{ is equilateral}[/tex]                                        Given

[tex]2)\text{ }PQ=QR=RP[/tex]                                               Definition of Equilateral

[tex]3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP[/tex]       Given

[tex]4)\text{ } PX=XQ[/tex]                                                        Definition of Midpoint

[tex]5)PQ=PX+XQ[/tex]                                               Segment Addition

[tex]6)\text{ } PQ=2XQ[/tex]                                                      Substitution

[tex]7)\text{ } QY=YR[/tex]                                                        Definition of Midpoint

[tex]8)\text{ }QR=QY+YR[/tex]                                               Segment Addition

[tex]9)\text{ } QR=2QY[/tex]                                                       Substitution

[tex]10)\text{ } 2XQ=2QY[/tex]                                                  Substitution

[tex]11)\text{ } XQ=QY[/tex]                                                      Division Property of Equality

[tex]12)\text{ } XQ=PX=QY=YR[/tex]                                Transitive Property

[tex]13)\text{ } RZ=ZP[/tex]                                                       Definition of Midpoint

[tex]14)\text{ } RP=RZ+ZP[/tex]                                             Segment Addition

[tex]15)\text{ } RP=2RZ[/tex]                                                     Substitution

[tex]16)\text{ } 2XQ=2RZ[/tex]                                                   Substitution

[tex]17)\text{ } XQ=RZ[/tex]                                                       Substitution

[tex]18)\text{ } XQ=PX=QY=YR=RZ=ZP[/tex]            Transitive Property

[tex]19)\text{ } \angle Q\cong \angle R\cong \angle P[/tex]                                             Definition of Equilateral

[tex]20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX[/tex]                          SAS Congruence

[tex]21)\text{ } XY\cong YZ\cong ZX[/tex]                                           CPCTC

[tex]22)\text{ } \Delta XYZ\text{ is equilateral}[/tex]                                     Equilateral Triangle Theorem

Answer:

this is your answer. thanks, for great point

Answer:

*Most of these, you just have to get the variable by itself. To check, put the answer in for the letter.*

1. b+8=14

Subtract 8 from both sides

b=6

Check: 6+8=14 ——— 14=14

2. 25-t=15

Subtract 25 from both sides

-t = -10 ––Divide both sides by -1

t=10

Check: 25-10=15 ——— 15=15

3. 9p=81

Divide both sides by 9 to get p alone

p=9

Check: 9(9)=81 ——— 81=81

4.  y/7= 2

Multiply both sides by 7 to cancel out the fraction

y=14

Check: 14/7=2 ——— 2=2

5. y+6=10

Subtract 6 from both sides

y=4

Check: 4+6=10 ——— 10=10

6. f-4=9

Add 4 to both sides

f=13

Check: 13-4=9 ——— 9=9

7. 8d=48

Divide both sides by 8 to get d alone

d=6

Check: 8(6)=48 ——— 48=48

8. 10 = r/5

Multiply both sides by 5 to cancel out the fraction

50 = r

Check: 10=50/5 ——— 10=10

9. 15=x/3

Multiply by 3 to cancel out the fraction

45=x

Check: 15=45/3 ——— 15=15

Answer:

20 m

Step-by-step explanation:

Let the length of the perpendicular dropped from vertex C to segment AB be x

By geometric mean property:

[tex]x = \sqrt{16 \times 9} \\ \\ x = \sqrt{144} \\ \\ x = 12 \: m \\ \\ By \: Pythagoras \: Theorem: \\ \\ Distance \: across \: the \: pond \\ \\ = \sqrt{ {16}^{2} + {12}^{2} } \\ \\ = \sqrt{256 + 144} \\ \\ = \sqrt{400} \\ \\ = 20 \: m[/tex]

Answer and Step-by-step explanation:

This graph is linear. The graph would look like this:

#teamtrees #WAP (Water And Plant) #PAW (Plant And Water)

#PAWG (Plant And Water Gang)

Answer:

2 KM 2 L 2 KG I dont know the rest i figured i could help someone but thats all i can do at the moment sorry i might come back to finish it later.

Step-by-step explanation:

Answer:

21.71% increase

Step-by-step explanation:

increase = Increase ÷ Original Number × 100

12756/58753*100

0.217112318*100

21.71% increase.

MARK ME BRAINLIEST

Answer:

Ani age is 21

Biju age is 18

Step-by-step explanation:

let Ani age be X

let Biju age be Y

the difference of their age is 3

i.e X - Y = 3......,....(equ. 1)

let Dharam age be A

let Cathy age be B

i.e A = 2x

B = y/2

the difference of their age is 30

Y/2 - 2x = 30..... (equ. 2)

from equ.1 X = ( 3+y).........( equ.3)

y/2 - 2(3+y) = 30

y/2 - 6 + 2y = 30

multiply both side by 2

y - 6 + 2y = 60

y + 2y = 60 - 6

3y = 54

Y = 18

from equ.3

X = 3+Y where y is 18

X = 3+18 = 21

Answer:

We know that lines AB and CD are parallel because if you expand them, we know they will never touch.

Step-by-step explanation:

Answer:

I think the answer B

If not then, sorry

Answer:

[tex](f\circ g)(x)=6x+14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]

And we want to find:

[tex](f\circ g)(x)[/tex]

This is equivalent to:

[tex]=f(g(x))[/tex]

Then by substitution:

[tex]=f(2x+6)=3(2x+6)-4[/tex]

Evaluate:

[tex]=f(g(x))=6x+18-4=6x+14[/tex]

Therefore:

[tex](f\circ g)(x)=6x+14[/tex]

Answer:

I think it is 5 if I did it right

S

Answer:

the answer is b:-6

Step-by-step explanation:

hoped I helped:)

Answer:

To calculate perimeter add all the sides of the particular shape.

I hope this helps!

Square perimeter formula: P = 4a

Rectangle perimeter formula: P = 2(a + b)

Triangle perimeter formulas:

P = a + b + c or

P = a + b + √(a² + b² - 2ab * cos(γ)) or

P = a + (a / sin(β + γ)) * (sin(β) + sin(γ))

Circle perimeter formula: P = 2πr

Circle sector perimeter formula: P = r(α + 2) (α is in radians)

Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))

Quadrilateral / Trapezoid perimeter formula: P = a + b + c + d

Parallelogram perimeter formulas:

P = 2(a + b) or

P = 2a² + √(2e² + 2f² - 4a²) or

P = 2(b + h/sin(α))

Rhombus perimeter formulas:

P = 4a or

P = 2√(e² + f²)

Kite perimeter formula: P = 2(a + b)

Annulus perimeter formula: P = 2π(R + r)

Regular polygon area formula: P = n * a

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

Answer:

64 ft^2

Step-by-step explanation:

Answer:

Consider left and right sides of the equations as linear functions.

Then:

Answer:

WYM

Step-by-step explanation:

[tex]k = 1.6d[/tex]

[tex]k = 1.6(665)[/tex]

[tex]k = 1064[/tex]

The distance is 1064 km.

Answer:

A. 1,064 km

Step-by-step explanation:

1 Mile is 1,6 Kilometers

430 Miles  = 688 Kilometers (430 * 1,6)

665 Miles = 1064 Kilometers (665 * 1,6)

1- 1.6(430)= 688 Km

2. 1.6(665)=1064 Km

Using 1.6 as the consant then 430* 1.6 = 688 Km

655 * 1.6 = 1048Km

if i understand what you need properly, all you do is multiply the miles x 1.6 and you will get k. so 430miles x 1.6 = 688k

and 665miles x 1.6 = 1064k

Answer:

Step-by-step explanation:

A and D

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

8×(-3)+7×5+(-10)²÷50

apply the PEMDAS rule or (parenthesis, exponent, multiplication,division,addtion,subraction)

24+7×5+(-10)²÷50

24+7×5+100÷50

24+35+100÷50

24+35+2

61

Perpendicular lines has negative reciprocal slopes.

"Negative reciprocal" is just a fancy way of

saying flip the fraction and change the sign.

So flipping the fraction gives us -3/2 and change the sign to get +3/2.