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Answer:

The right answer is

[tex]y = 2x[/tex]

Answer:

y = 80

Step-by-step explanation:

the angles of a triangle = 180. the top angle is 80 and the bottom is 20. 180 - 20 - 80 = 80

Answer:

p=58

q=84

r=38

Step-by-step explanation:

x+46+2x-18+x=180 degree ( angle sum property )

4x + 28 = 180 degree

4x = 180 - 28

4x = 152

x = 152 /4

x= 38

angle p = 2x -18 = 2 *38 -18 = 58 degree

angle q = x + 46 = 38 +46= 84 degree

angle r = x = 38 degree

Answer:

x= 38°

measure of angle P= 58°

measure of angle Q= 84°

measure of angle R=​38°

Step-by-step explanation:

Equations

The sum of the internal angles of a triangle is 180°. We are given the three angles as a function of x, thus:

2x - 18 + x + 46 + x = 180

Simplifying:

4x + 28 = 180

Subtracting 28:

4x = 180 - 28 = 152

x = 152/4 = 38

x = 38°

Angle P=2x-18=2*38-18=58°

Angle Q=x+46=38+46=84°

Angle R=x=38°

Answer:

Object A is faster.

Answer:

3 days

Step-by-step explanation: (See Annex)

According to the problem statement, both readings (Isabela and Angel) are models for a straight line:

10 and 20 are the slopes of I and A respectively

I = 35 + 10*t

A = 5 + 20*t

The common point of the two lines will be the day when they both will be on the same page ( see annex)

then:

35 + 10*t  =  5 +20*t

35 - 5  =  20*t - 10*t

10*t  =  30

t  = 3

Answer:

Solution in photo

Step-by-step explanation:

Answer:

4 dozen is equal to 48

divide that by 4 which would equal 12 or one dozen

Answer:

12

Step-by-step explanation:

1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.

Simply: 1/4 of 4 dozen is 1 dozen

Answer:

0.775

Step-by-step explanation:

think place values to the right

tenths, hundredths, thousandths

The decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values.

It is given in the question that the decimal equivalent of the following: seven hundred seventy-five thousandths.

Seven hundred seventy-five thousand will be written in decimal form to the three places.

Decimal form = 0.775

Therefore the decimal equivalent of the following: seven hundred seventy-five thousandths is 0.775.

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The matrix is not properly formatted.

However, I'm able to rearrange the question as:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\-2&3&5|3\\3&2&4|1\end{array}\right][/tex]

Operations:

[tex]2R_1 + R_2 ->R_2[/tex]

[tex]-3R_1 +R_3 ->R_3[/tex]

Please note that the above may not reflect the original question. However, you should be able to implement my steps in your question.

Answer:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right][/tex]

Step-by-step explanation:

The first operation:

[tex]2R_1 + R_2 ->R_2[/tex]

This means that the new second row (R2) is derived by:

Multiplying the first row (R1) by 2; add this to the second row

The row 1 elements are:

[tex]\left[\begin{array}{ccc}1&1&1|-1\end{array}\right][/tex]

Multiply by 2

[tex]2 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}2&2&2|-2\end{array}\right][/tex]

Add to row 2 elements are: [tex]\left[\begin{array}{ccc}-2&3&5|3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&2&2|-2\end{array}\right] + \left[\begin{array}{ccc}-2&3&5|3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&5&7|1\end{array}\right][/tex]

The second operation:

[tex]-3R_1 +R_3 ->R_3[/tex]

This means that the new third row (R3) is derived by:

Multiplying the first row (R1) by -3; add this to the third row

The row 1 elements are:

[tex]\left[\begin{array}{ccc}1&1&1|-1\end{array}\right][/tex]

Multiply by -3

[tex]-3 * \left[\begin{array}{ccc}1&1&1|-1\end{array}\right] = \left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right][/tex]

Add to row 2 elements are: [tex]\left[\begin{array}{ccc}3&2&4|1\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}-3&-3&-3|3\end{array}\right] + \left[\begin{array}{ccc}3&2&4|1\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}0&-1&1|4\end{array}\right][/tex]

Hence, the new matrix is:

[tex]\left[\begin{array}{ccc}1&1&1|-1\\0&5&7|1\\0&-1&1|4\end{array}\right][/tex]

Answer:

Step-by-step explanation:

:)

Answer:

they bought 5 pies

Step-by-step explanation:

.................

Five pies were bought by the booster club of the baseball team.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Three pies were provided for sale by the school. After that, each pie was divided into 8 pieces and sold. 64 pieces in all were available for purchase.

Let "p" be the number of pies the booster club purchased.

The school donated 3 pies, so the booster club purchased a total of p + 3 pies.

Each pie was cut into 8 pieces, so there were a total of (p + 3) × 8 = 64 pieces to sell.

This equation can be simplified to p + 3 = 8, or p = 5.

Therefore, there was a booster club that purchased 5 pies.

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Answer:

The answer is E

Step-by-step explanation:

When multiplying exponents you just have to add them but they have to have the same denominator in order to be added.

Multiply 1/2 by 2 on the top and bottom: 2/4 and add to 1/4 to get 3/4

Answer:

3) Because the run go by 4 and the rise go up by 2

Step-by-step explanation:

Answer:

There would be 20 ounces of almonds in the bag

Step-by-step explanation:

System of Equations

To solve the problem, we'll set up these two variables:

x = ounces of almonds

y = ounces of raisins

The ratio of almonds to raisins in the trail mix is 5:7, thus:

[tex]\displaystyle \frac{x}{y}=\frac{5}{7}[/tex]

Cross-multiplying:

7x=5y         [1]

A 3-pound bag of this trail mix contains 3*16=48 ounces that include almonds and raisins, thus:

x + y = 48      [2]

Multiplying [2] by 5:

5x + 5y = 240

Substituting from [1]:

5x + 7x = 240

12x = 240

x = 240/12

x = 20

There would be 20 ounces of almonds in the bag

Answer:

13.48

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

The sum of angle of a triangle is 180. Taking the sum of the angles and equating to 180 will give:

75 + 63 + 4x+2 = 180

138+2+4x = 180

140+2x = 180

2x = 180=140

2x = 40

x = 20

Hence the value of x is 20

Answer:

-3/2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y = 2.5 x - 57

y = Profit: 143

143 = 2.5 x - 57                     Add 57 to both sides

143 + 57 = 2x - 57 + 57    Combine like terms

200 = 2.5 x                          Divide by 2.5

200/2.5 = 2.5x/2.5

x = 80 plants

Answer:

[tex]\boxed {\boxed {\sf E. \ y=x-3}}[/tex]

Step-by-step explanation:

To find the equation of the line, we must first find the slope, then use the point-slope formula.

1. Find the Slope

The slope formula is the change in y over the change in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given in the problem are (6,3) and (4,1). Therefore:

[tex]x_1=6 \\y_1=3 \\x_2=4 \\y_2=1[/tex]

Substitute the values into the formula.

[tex]m=\frac{1-3}{4-6}[/tex]

Solve the numerator.

[tex]m=\frac{-2}{4-6}[/tex]

Solve the denominator.

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

Divide.

[tex]m=1[/tex]

2. Find the Equation of the Line

We have the slope and a point, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

We know the slope is 1 and we can pick either point to use for (x₁, y₁). Let's use (4,1).

[tex]y-1=1(x-4)[/tex]

Distribute the 1.

[tex]y-1=(1*x)+(1*-4)\\y-1=x-4[/tex]

We want to find the equation in y=mx+b, so we must isolate the variable on one side of the equation.

1 is being subtracted from y and the inverse of subtraction is addition. Add 1 to both sides of the equation.

[tex]y-1+1=x-4+1\\y=x-4+1\\y=x-3[/tex]

In slope-intercept form, the equation of the line is y=x-3

Answer:

NOT D - D is incorrect

Im not sure which one it is, but it's not the last one.

Step-by-step explanation:

Answer:

a. 100

b. 156

Step-by-step explanation:

a.

(n - 2)180 = (6 - 2)180 = 4(180) = 720

? + 166 + 108 + 121 + 135 + 90 = 720

? = 100

b.

(n - 2)180 = (8 - 2)180 = 6(180) = 1080

? + 128 + 99 + 161 + 113 + 142 + 146 + 135 = 1080

? = 156

Answer:

1). Area = 37 cm²

2). Area = 120 cm²

Step-by-step explanation:

Figures in the picture attached are the examples of composite figures.

1). Area of the composite figure = Area of rectangle A + Area of rectangle B

   Since area of rectangle = Length × width

   Area of rectangle A = 8 × 2 = 16 cm²

   Area of rectangle B = 3 × 7 = 21 cm²

   Area of the composite figure = 16 + 21 = 37 cm²

2). Area of the composite figure = Area of C + Area of D

                                                     = (3×4) + (9×12)

                                                     = 12 + 108

                                                     = 120 cm²

Answer:

C. 1/4

Step-by-step explanation:

Line pass A(-2,-1) and B(2,0)

slope = Δy/Δx = (0 - (-1)) / (2 - (-2)) = 1/4

Answer:

the answer is C

Step-by-step explanation:

slope formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

(1) take two coordinates from the graph

i/ (2,0)

x1 = 2

y1 = 0

ii/ (6,1)

x2 = 6

y2 = 1

(2) substitute the values into the formula

[tex] \frac{1 - 0}{6 - 2} [/tex]

[tex] \frac{1}{4} [/tex]

Answer:

x=1/32

Step-by-step explanation:

-13-4x-13x=-14+15x

first, combine the like terms.

add -4x and -13x

-13-17x=-14+15x

now, add 13 to both sides

-17x=-1+15x

subtract 15x from both sides

-32x=-1

divide by -32

x=-1/-32

Simplify

x=1/32

Hope this helps!

Answer:

x = 0.84375

Step-by-step explanation:

-13 - 4x - 13x = 14 + 15x

-13 - 17x = 14 + 15x

-13 - 17x + 17x = 14 + 15x + 17x

-13 = 14 + 32x

-13 - 14 = 32x

-27 = 32x

-27 / -32 = 32x / 32

0.84375 = x

Answer:

51 months

explanation