49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.

I'll use (-2, 0) and (3, 4) here

To calculate slope:

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

where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.

Plug in those 2 points and solve:

[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]

Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

Answer:

It's the 2nd graph

Step-by-step explanation:

Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.

Answer:

A= 1

B= 2

C = 3

D = 4

E = 5

And so on going on for the 26 letters. But no clue since you said "could"

[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]

ok done. Thank to me :>

Answer:

3

Step-by-step explanation:

We have to divide 2 1/4 by 3/4

First convert 2 1/4 to an improper fraction

2 1/4 = (2*4 + 1)/4 = 9/4

Divide 9/4 by 3/4

(9/4)/(3/4)

The denominator of both the numerator and denominator are the same and can be canceled. This gives 9/3

Now cancel the common factor 3, which gives 3

The required value of 2 1/4 divided by 3/4 is 3

Answer:

Step-by-step explanation:

Use KCF method

Keep the first

Change division to multiplication

Flip the second

[tex]2\dfrac{1}{4}=\dfrac{9}{4}\\\\\[/tex]

9/4 ÷ 3/4

[tex]= \dfrac{9}{4}*\dfrac{4}{3}\\\\= 3[/tex]

Answer:

5/6

Step-by-step explanation:

Assuming we are using a standard 6-sided die, we can say that there are 6 numbers on the die. 1, 2, 3, 4, 5, and 6. The chance of rolling any number, including 3, is 1/6

The change of not rolling a 3 would be 5/6, because there are 5 other numbers besides 3

Answer:

a = 25°

Step-by-step explanation:

60° and 3a - 15° are congruent because they are corresponding.

60 = 3a - 15

75 = 3a

a = 25°

-Chetan K

Answer:

Step-by-step explanation:

[tex](5x10^{3})x(9x10^{7})=5*9*x^{1+1+1}*10^{3+7}\\\\=45x^{3}*10^{10}[/tex]

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

Follow me! ♧

Answer:

the answer is -1, 0 and 6, -1

Step-by-step explanation:

-1, 0 and 6, -1

(Hope this helps can I pls have brainlist (crown)☺️)

Regression equations are used to represent the relationship between the x and y variables.

To determine the quadratic regression equation, we make use of a graphic calculator

Using a graphing calculator, we have the quadratic regression equation to be [tex]\mathbf{y =-6.407 X^2 +216.721 X -975.561}[/tex]

When the selling price is $14.25, it means that:

[tex]\mathbf{x = 14.25}[/tex]

So, we have:

[tex]\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}[/tex]

Evaluate the exponents

[tex]\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}[/tex]

Evaluate the products

[tex]\mathbf{y =-1301.0214375+3088.27425 -975.561}[/tex]

Evaluate like terms

[tex]\mathbf{y =811.6918125}[/tex]

Approximate to the nearest dollar

[tex]\mathbf{y =812}[/tex]

Hence, the profit for a selling price of $14.25 is $812

Read more about regression equations at:

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Answer:

in the picture

hope this helps! :D

Answer:

1) x = 55°

2) x = 30°

3) x = 68°

Step-by-step explanation:

In the given set of questions where it requires to find the unknown value of x to prove that v ||w:

The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.

1.)  In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠70° + m ∠ 2x° = 180°

Solve for x algebraically:

70° + 2x° =  180°

Subtract 70° from both sides:

70° - 70° + 2x° =  180° - 70°

2x° =  110°

Divide both sides by 2 to solve for x:

[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]

x = 55°

Verify whether the value for x is valid:

70° + 2x° =  180°

70° + 2(55)° =  180°

70° + 110° =  180°

180° =  180° (True statement).

2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°.  As defined by the Consecutive Interior Angles Theorem:

m ∠2x° + m ∠ 4x° = 180°

Solve for x algebraically:

2x° + 4x° =  180°

Add like terms:

6x° = 180°

Divide both sides by 6 to solve for x:

[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]

x = 30°

The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°.  As defined by the Consecutive Interior Angles Theorem:

m ∠90° + m ∠ (x + 22)° = 180°

Solve for x algebraically:

90° + x° + 22 =  180°

Combine like terms:

112° + x° = 180°

Subtract 112° from both sides to isolate x:

112° - 112° + x° = 180° - 112°

x = 68°

Verify whether the value for x is valid:

90° + x° + 22 =  180°

90° + 68° + 22 =  180°

180° =  180° (True statement).

Answer:

25%

Step-by-step explanation:

Percent change formula:

[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]

x_1 = initial value

x_2 = final value

[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]

1/4 = 0.25

25 PERCENT INCREASE

it cant be descrase

Answer:

y = 2x + 2

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

Slope = (-6 - 6)/(-4 - 2)

Slope = -12/-6

Slope = 2  

Use the slope = 2 and point (2, 6) and substitute into y = mx + b to solve for b.

y = mx + b

6 = 2(2) + b

6 = 4  + b

b = 2

The equation is y = 2x + 2

Answer:

Slope = ½

Step-by-step explanation:

Given the two points on the graph, (-4 , 0) and (0, 2):

Let (x₁, y₁) = (-4 , 0)

      (x₂, y₂) = (0, 2)

Substitute the given points into the following slope formula:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]

[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]

Therefore, the slope of the line is ½.

Answer:

line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope

Answer:

Step-by-step explanation:

Using the slope-intercept form:

In the equation y=mx+b, b is the coordinate on the y-axis where the graph crosses the y-axis and m denotes the slope of the line. The x and y represents all the (x, y) order pairs that graph points.

Substitute x for 0 to find the pair (0, Y). y=3(0)+4 Since 3 times 0 is 0, y will equal 4.

y=3(-1)+4 ⇒-1,1 y=1

y=3(0)+4 ⇒0,4 y=4

y=3(1)+4 ⇒ 1, 7 y=7

y=3(2)+4 ⇒ 2, 10 y=10

y=3(3)+4 ⇒ 3, 13 y=13

Answer:

The answer is the blue dot

Step-by-step explanation:

You should remember that the x goes first in (x,y).

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

Answer:

Step-by-step explanation:

The small square extends from x=1 to x=4, so its side length is 4-1 = 3.

The large square extends from x=4 to x=16, so its side length is 16-4 = 12.

The scale factor is ...

  large/small = 12/3 = 4

or

  small/large = 3/12 = 1/4

We don't know which way you're scaling, so choose the factor appropriate to your question.

Answer

169

Step-by-step explanation:

Step-by-step explanation:

remember : the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) with the sides being always opposite of the angles.

so,

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 11/sin(58)

x = 11×sin(32)/sin(58) = 6.873562871...

rounded x = 6.9

Answer:

$47.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The earning will increase for 6 hours. So, we have to multiply 7.90 by 6

Earnings after 6 hours =  6 * 7.90 = £  47.40

Answer:

Step-by-step explanation:

Answer:

a= 0.84m

b= 7m

i tried my best but im not sure of the answer

Step-by-step explanation:

5x+3y=4.2

2x=3y

x = 4.2-3y/5

2*(4.2-3y/5) = 3y

=1.68/3 = 0.56

y=0.56

2x = 3*0.56

x = 0.84

a) The length of one belt (b) is 0.6 meters, or 60 centimeters.

b) The total length of 7 belts and 2 shoe laces is: 5 meters.

Let the length of one belt be "b" meters, and the length of one shoe lace be "s" meters.

a) Find the length of a belt:

According to the given information, the total length of 5 belts and 3 shoe laces is 4.2 meters. We can express this information as an equation:

5b + 3s = 4.2

b) Find the total length of 7 belts and 2 shoe laces:

The total length of 3 shoe laces is equal to the length of 2 belts. We can express this information as another equation:

3s = 2b

Now, we can use these two equations to solve for the values of "b" and "s."

Step 1: Solve the second equation for "s":

3s = 2b

Divide both sides by 3:

s = (2/3)b

Step 2: Substitute the value of "s" from the second equation into the first equation:

5b + 3((2/3)b) = 4.2

5b + 2b = 4.2

7b = 4.2

Step 3: Solve for "b":

b = 4.2 / 7

b = 0.6

Now that we have the value of "b," we can find the value of "s" using the second equation:

s = (2/3)b

s = (2/3) * 0.6

s = 0.4

To know more about length:

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Answer:   X = -(1/2) AND X = (3/2)

Step-by-step explanation:

4x^2 – 2x – 3 = 2x

4x^2 – 4x – 3 = 0

(2x+1)(2x-3) = 0

1.  (2x+1) = 0

    2x = -1

      X = -(1/2)

2.  (2x-3) = 0

      2X = 3

         X = (3/2)

Answer: 3b + 125 = 157.97

Step-by-step explanation:

The two things contributing to the total cost are the cost of the bags of dog food and the adoption fee, so they need to be added together.

There are 3 bags of dog food at an unknown price, so we need to multiply 3 by an unknown value represented by the variable b.

The $125 adoption fee should be added to the price of the bags of dog food, so add 125. This creates an equation of 3b + 125 = 157.97

Answer:

[tex]x^2-9x+20[/tex]

Step-by-step explanation:

Use the distributive property.

[tex](x-5)(x-4)[/tex]

[tex]x^2-5x-4x+20[/tex]

[tex]x^2-9x+20[/tex]

This is already in standard form.

Hope this helps!