A pair of socks is sold for $2.50. The retailer added $.50 to the original cost. What was the cost of the socks to the retailer? ($)

Answer:

y = 1/2 x + 3.

Answer:

the equation with the slope m=1/5 that passes through point (-10,-15) is: y = -1/5x+15

Gavin is incorrect. To find how much cake each person gets, divide 1/3 by 4 or multiply 1/3 by one-fourth. Therefore, each of the friends gets one-twelfth of the cake.

Good Luck!

Answer:

far   t more far     t

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

Answer:

x=4 and y=2

Step-by-step explanation:

You should use graph, point of intersection(for example point M(4,2) ) is solution

And we can conclude that x=4 and y=2

Answer: I don't remember how to solve, but, I figured out the lengths of each side in the shaded region:

11, 11, 7, 7, 4, 4

Step-by-step explanation:

Hope this helps!! :D

Answer:

18 red balls, 3 blue balls, 6 yellow balls.

Step-by-step explanation:

a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.

In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.

In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.

Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".

Using this logic, we can set up the following equation:

[tex]6G+1G+2G=27[/tex]

For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.

[tex]9G=27[/tex]

Now divide by 9

[tex]G=3[/tex]

Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.

[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]

and you can all this together, to double check, which gives us 27.

Answer:

18,3,6

Step-by-step explanation:

Given ,

To Find : The number of red,blue and yellow balls present in the bag

Let us take the variable as 'x' to represent the number of balls in the bag

When we Put the values in a equation,

6x+x+2x = 27

9x = 27

x = [tex]\frac{27}{9}[/tex]

x = 3

Hence the number of,

Red Balls = 6x = 6 x 3 = 18

Blue Balls = x = 3

Yellow Balls = 2x = 2 x 3 = 6

9514 1404 393

Answer:

  68.6 m/s

Step-by-step explanation:

The speed at a given time is the derivative of the height at that time.

  dh/dt = -9.8t

At t=7, the speed is ...

  -9.8(7) = -68.6 . . . . . meters per second (downward)

The speed is 68.6 meters per second.

_____

Additional comment

Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.

The angle of elevation of a 20-foot railroad crossing arm is fixed at 35 degrees. As necessary, round up to the next tenth. 20 ft, 35 ft, x -11.5 feet, y- 16.4 feet .

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. The angle of elevation formula tan =QR/PR can be used to calculate the building's height (QR). Therefore, the building has 8 units of height. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, in the depression angle, the line of sight is downward and parallel to the ground.

When we multiply in algebra, we come before a variable with a number. In the same way, xy means to multiply variable x by variable y, while 7xy means to multiply variable x by variable y and then to multiply the entire expression by seven. Due to the complexity of how train-based questions are frequently presented, it is always advisable to read the question thoroughly before responding. After reading the question, try to use a formula in it; this may lead to a direct solution and save you time.

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Answer:

-0.80, is a large effect

Step-by-step explanation:

From the given information:

The mean of the sample = [tex]\dfrac{10+ 11+ 8+ 14+ 13+ 12+12+11+13}{9}[/tex]

= 11.556

Using Excel Formula:

The standard deviation = 11.8105

We are told that the population mean = 13

Thus, the effect size can be determined by using the formula:

[tex]Effect \ size = \dfrac{sample\ mean \ ( \bar x) - population \ mean \ \mu }{standard deviation (\sigma)}[/tex]

[tex]Effect \ size = \dfrac{11.5556 -13 }{1.8105}[/tex]

Effect size = -0.80

Thus, -0.80, is a large effect

Answer:

[tex]b \leqslant - 16[/tex]

Only x = -3 is less than -2.

We have the following statement -

"A number b is at least -16"

Given is the following statement -

"a number b is at least -16".

We can write the given inequality as -

b ≥ - 16

Therefore, we can write the given statement as -

b ≥ - 16

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Eric picks 17/40 baskets of strawberries more than Kiki.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Eric picks 5/8 basket of strawberries.

And, Kiki picks 1/5 basket of strawberries.

Hence, After subtraction we get;

Number of baskets of strawberries more than Kiki = 5/8 - 1/5

                                                                              = (25 - 8) / 40

                                                                              = 17/40

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Answer:

I can’t tell if both number are positive, ones negative ect but here’s the answer if both are negativ, let me know if the numbers are negative or positive and I can come back and give ya the right answer! Xoxo

Step-by-step explanation:

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

Answer:

72yd^2

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

14*3 + 9*5

Answer:

0.88 = 88% probability that the next apples he picks will be good

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, we have the number of outcomes a priori, that is, before the trial.

What is the experimental probability that the next apples he picks will be good?

250 apples, 250 - 30 = 220 good.

[tex]p = \frac{220}{250} = 0.88[/tex]

0.88 = 88% probability that the next apples he picks will be good

Answer:

5x+3

Hope this helps!

Answer:

Sample

Population

Step-by-step explanation:

Explain regent? its a term I've never heard of

The angles add up to 180° so the angles are supplementary.

The value of x is 31.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

Two angles:

3x + 25  and 2x

These two angles form a straight angle.

Now,

3x + 25 + 2x = 180

5x = 180 - 25

5x = 155

x = 31

When the sum of two angles is 90°, then the angles are known as complementary angles.

When the sum of two angles is 180°, then the angles are known as supplementary angles.

Now,

3x + 25

= 3 x 31 + 25

= 93 + 25

= 118

2x

=2 x 31

= 62

Now,

118 + 62 = 180

Thus,

The angles are supplementary.

The value of x is 31.

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The number of years until the book value of the boat is $ 48, 000, can be found to be 2 years

To find the number of years till the book value of the boat is $ 48, 000, you first need to find the depreciation rate per year by the formula :

= ( Purchase price of boat - Resale value ) / Useful life

= ( 51, 000 - 42, 000 ) / 6

= 9, 000 / 6 years

= $ 1, 500 per year

In the first year, the value of the boat would depreciate to:

= 51, 000 - 1, 500

= $ 49, 500

In the second year, the value would depreciate to:

= 49, 500 - 1, 500

= $ 48, 000

It therefore takes 2 years for the book value to be $ 48, 000.

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Answer:

Hello,

Step-by-step explanation:

m∠DHG=(11x-36)°

m∠GHF=(x+12)°

(11x-36)°+(x+12)°=180°

12x-24=180

x=17

m∠arc DG=(11*17-36)°=151°

Rewriting 6-6-6-6 in exponential notation is -1.2×10¹

Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.

When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.

Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.

similarly 6-6-6-6 will give -12

writing -12 in exponential notation is -1.2×10¹

Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.

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Answer: 10

Step-by-step explanation:

I’m positive

Answer:

He take 5 months in Brazil and 9 months in Portugal.

Step-by-step explanation:

Let us assume the number of months in Portugal be P

And, the number of months in Brazil be B

  So, the following equations are made

P + B = 14 ..............(1)

130P + 150B = 1920 .........(2)

We can easily write as  

P = 14 - B

Now put the value of P in the second equation

So,  

130(14 - B) + 150B = 1920

20B = 100

B = 100 ÷ 20 = 5

P = 14 - 5 = 9

 Hence, He take 5 months in Brazil and 9 months in Portugal.

Answer:

ummmmmmmmmmmmmmmmmmmm i forgot srry sugar

Step-by-step explanation:

Answer:

1 comes 4 numbers before 6

Step-by-step explanation:

1,2,3,4,5,6

/ / / /

The dimension of V is 2, and it is spanned by the basis vectors (1, 0, -1), (3, 1, 2).

The dimension of a vector space is the number of vectors in a basis for the space. To find a basis for a subspace of R³, we need to find a set of linearly independent vectors that span the subspace.

First, let's consider U. The subspace U is defined by the equations x + y = 2z and x - y = 0.

Solving these equations for x and y, we can express them in terms of z: x = 2z and y = -2z. Therefore, every vector in U can be written as (x, y, z) = (2z, -2z, z) = z(2, -2, 1).

Since z is a scalar, the vector (2, -2, 1) is the only vector needed to span the subspace U, which means that it is a basis for U.

Therefore, the dimension of U is 1, and it is spanned by the basis vector (2, -2, 1).

Now let's consider V. The subspace V is defined by the set of vectors that can be written as a linear combination of the vectors (1, 0, -1) and (3, 1, 2). We can start by showing that these vectors are linearly independent. Suppose that there are scalars a and b such that a(1, 0, -1) + b(3, 1, 2) = (0, 0, 0). Then we have:

a + 3b = 0

b = 0

-a = 0

Since a and b are real numbers, the above equation only holds if a = 0 and b = 0. This shows that (1, 0, -1) and (3, 1, 2) are linearly independent, and a basis of V.

Therefore, the size of V is 2, and it is traversed by the basis vectors (1, 0, -1), (3, 1, 2).

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