Solve for the letter x:

Answer:

Step-by-step explanation:

Number of cans of peas = x

Cost of 'x' cans of peas = x *0.85 = 0.85x

Number of cans of corn = y

Cost of 'y' cans of corn = 0.78*y = 0.78y

Number of cans of peas = number of cans of corn + 2

x = y + 2  --------------(I)

x - y = 2  ----------------(II)

Total cost = $ 6.59

0.85x + 0.78y = 6.59 -------------(III)

Substitute x = y +2 in equation (III)

0.85(y + 2) + 0.78y = 6.59

0.85y + 1.70 + 0.78y = 6.59

          0.85y + 0.78y = 6.59- 1.70

                  1.63y       = 4.89

                            y = 4.89/1.63

y = 3

Number of cans of corn = 3

Plugin y = 3 in equation (I)

x = 3 + 2

x = 5

Number of cans of peas = 5

Step-by-step explanation:

Substitute -4, 5, 7, 12 into the inequality then solve:

[tex]3( - 4) - 5 < 17[/tex]

[tex] - 17 < 17[/tex]

Is a solution.

[tex]3( 5) - 5 < 17[/tex]

[tex]10 < 17[/tex]

Is a solution.

[tex]3(7) - 5 < 17[/tex]

[tex]16 < 17[/tex]

Is a solution.

[tex]3( 12) - 5 < 17[/tex]

[tex]31 < 17[/tex]

Is not a solution.

12 is not a solution.

Step-by-step explanation:

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

Answer:

There are 26 plants left

Step-by-step explanation:

His dog dug up four rose

15 - 4 = 11

- and half the daisies

6 / 2 = 3

11 + 12 + 3 = 26 plants left

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

slope = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 1, - 5) ← 2 points on the line

m = [tex]\frac{-5-1}{-1-(-3)}[/tex] = [tex]\frac{-6}{-1+3}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Answer:

6 dimes 18 nickels

Step-by-step explanation:

x3 and 1.50

Answer:

a) 984.6080 = 984.61 to 2 decimal places

b) 984.6080 = 984.6 to 4 significant figures

c) 984.6080 = 984.608 to 3 decimal places

d) 984.6080 = 984.61 to the nearest h

Step-by-step explanation:

Answer:

De acuerdo, el número es 911, ¿cuál es su ubicación para que pueda enviar ayuda?

Step-by-step explanation:

Answer:

D. 60°

Step-by-step explanation:

The interior angles of all triangles add up to 180 degrees.

There are two y's on the triangle

And one of the degree lengths is 60°, so we do:

2y + 60 = 180

Subtract 60 from both sides

2y + 60 - 60 = 180 - 60

2y = 120

Divide 2 from both sides

2y/2 = 120/2

y = 60°

Also, In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

All three sides are equal

All the three interior angles are equal to 60 degrees

The interior angles of all triangles add up to 180 degrees.

Heres a picture of an equilateral triangle

Answer:

y = -x - 2

Step-by-step explanation:

slope intercept form is y = mx+b where y = 1

so subtract x from each side. y = -x -2 and there is your answer

Answer:

y=mx+b.y=-x+2

Step-by-step explanation:

I'm pretty sure that's right lmk

Answer:

There are 12 red marbles

Answer:

4.4

Step-by-step explanation:

[tex]4\frac{2}{5} \\\\\frac{22}{5} \\\\4.4[/tex]

The (S, S, S) condition is fulfilled. The ΔABC and ΔEFG are congruent to each other. Then the correct option is A.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

We can measure the dimension of the triangle with the help of a ruler and protector.

In triangles, ΔABC and ΔGEF.

The side of AB is equal to EF, the side BC is equal to FG, and the side AC is equal to GE.

Since the (S, S, S) condition is fulfilled.

Thus, the ΔABC and ΔEFG are congruent to each other. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

The answer is D.

Step-by-step explanation:

Answer:

hard,sorry I can't answer the question don't be angry at me I beg you

Answer:

hi is here is the answer  

1. x=−6

x=4

2. p=−3 10 −6≈−15.486832981

3

Step-by-step explanation:

Answer: Check out the graph below

The graph is a straight line through the points (0,6) and (1,8)

====================================

Explanation:

Plug in x = 0 to find that...

y = 2x+6

y = 2(0)+6

y = 0 + 6

y = 6

The point (0,6) is on the line

---------

Repeat for x = 1

y = 2x+6

y = 2(1)+6

y = 2 + 6

y = 8

The point (1,8) is also on the line

---------

Now plot the two points together on the same xy grid.

Draw a straight line through the two points. Stretch the line as far as you can in either direction. See below. I used GeoGebra to make the graph. It's a free graphing app.

Desmos is another useful free graphing tool. There are many options if you don't have a graphing calculator.

Answer:

Step-by-step explanation:

Answer:

balanced reaction: 1 C3H8 + 5 O2  ---->  3 CO2 + 4 H2O

The arrangement of the blocks is an illustration of permutation and combination

The number of possible arrangement is 27720 ways

The given parameters are:

n = 12

Black = 6

Red = 4

White = 1

Blue = 1

The number of possible arrangement is then calculated as:

[tex]Ways = \frac{12!}{6!4!1!1!}[/tex]

Evaluate the factorials

[tex]Ways = 27720[/tex]

Hence, the number of possible arrangement is 27720 ways

Read more about permutation and combination at:

https://brainly.com/question/11732255

Answer:

11, 13

Step-by-step explanation:

Let one of the odd positive integer be x , then the other odd positive integer is x+2.

Their sum of squares:

[tex]x^{2} +(x+2)^{2}[/tex]

[tex]x^{2} +(x+2)(x+2)[/tex]

[tex]x^{2} +x^{2} +4x+4[/tex]

[tex]2x^{2} +4x+4[/tex]

Given that their sum of squares = 290

[tex]2x^{2} +4x+4 =290[/tex]

[tex]2x^{2} +4x = 286[/tex]

[tex]2x^{2} +4x -286 = 0[/tex]

[tex]x^{2} +2x -143 =0[/tex]

[tex]x^{2}+13x-11x-143 =0[/tex]

[tex]x(x+13)-11(x+13)=0[/tex]

[tex](x+13)(x-11)=0[/tex]

Therefore x = 11, x=-13

We take positive value of x:

So, x =11 and (x+2)= 11+2=13

Therefore , the odd positive integers are 11 and 13

Answer:

P 1461.75

Step-by-step explanation:

To find how much she needs, you need to find the difference between the 2 numbers.

4998.50 - 3536.75 = 1461.75

Hope this helps

Answer:

answer is 6 for x

Step-by-step explanation:

Answer:

8x + 12

Step-by-step explanation:

4 x 2x = 8x

4 x 3 = 12

Answer:

70%

Step-by-step explanation:

Total: 60

Strawberries: 18

Lemons: 42

[tex]\frac{42}{60}[/tex] = [tex]\frac{7}{10}[/tex] = 70%

The percentage of lemons in the group is equal to 70%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that in the image there are 60 objects in total, the number of lemons is 42 and the number of strawberries is 18.

Total: 60

Strawberries: 18

Lemons: 42

The percentage of the lemons will be calculated as,

Percentage = 42 / 60

Percentage = 0.7

Percentage = 0.7 x 100 = 70%

Therefore, the percentage of lemons in the group is equal to 70%.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Monica originally had $1.50

Data;

To solve this, we have to write the word problem in an equation which we can solve.

Assuming she had x amount of money and she gave half to her brother, we can write an equation for that

[tex]x - \frac{x}{2} = x- 0.5x[/tex]

But she also lost 25 cents and she have 50 cents left, let's put this in an equation.

[tex]x-0.5x-0.25 = 0.50[/tex]

let's collect like terms and solve for x

[tex]x-0.5x-0.25=0.50\\0.5x=0.5+0.25\\0.5x= 0.75\\\frac{0.5x}{0.5} =\frac{0.75}{0.5}\\ x = 1.5[/tex]

From the calculations above, Monica originally had $1.50

Learn more on word problems here;

https://brainly.com/question/21405634

Answer: its A.

Step-by-step explanation:

i took the test and got 100%

Answer:

-12

Step-by-step explanation:

Just do -3 times 4 which gives you -12

Answer:

if i read the question correctly the hairdresser cuts off 4 inches

Step-by-step explanation:

32 inches is the total length of her hair

so 4 inches off the total length means 32 - 4 which is 28 inches

so the hairdresser cuts off 4 inches and now she has 28 inches of hair left

The barber cut 4 inches of hair out of 32 inches of hair.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Abigail has lovely, lustrous black hair that is 32 inches long. She asks the hairdresser to cut off 4 of the total length of her hair.
So barber cut the 4-inch out of 32 inch

Thus, the barber cut 4 inches of hair out of the 32 inches of hair.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

-2/3 + 0

= 2

– — + 0

3 2

Add — 2/3 and 0 to get – —

3

2

= – —

3

= (–1).2/3 = –0.666666667

the answer is = –0.666666667

Step-by-step explanation:

#Carry on learning