write the equation of the line in fully simplified slope-intercept form.

Answer:

The value of p is $12.

Step-by-step explanation:

Given;

c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)

Where;

c = cost of buying x T-shirts and y sweatshirts from the store

p = price of one or each T-shirt = ?

x = number of T-shirts bought

29 = price of one or each sweatshirt

y = number of sweatshirt bought

Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:

29 = p + 17

p = 29 - 17

p = 12

Therefore, the value of p is $12.

Additional note:

Note that this is not part of the question but it is just an example to make you understand the question better.

If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:

Where;

c = cost of buying x T-shirts and y sweatshirts from the store = ?

p = price of one or each T-shirt = 12

x = number of T-shirts bought = 10

29 = price of one or each sweatshirt

y = number of sweatshirt bought = 10

Substituting the values into equation (1), we have:

c = (12 * 10) + (29 * 10)

c = 120 + 290

c = 410

Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.

Answer:

C = number of chickens

P = number of pigs

C + P = 13

2C + 4P = 46

Solve for C and P and get

C = 3

P = 10

Answer: 4 necklaces 2 bracelets. 8 bracelets. 2 necklaces 5 bracelets

Step-by-step explanation:

After solving the equation the length of side is 47.97 unit.

What is triangle?

A triangle is a three-sided geometric shape. It is a closed figure, meaning the sides are connected, and it has three angles, each of which is less than 180 degrees. Triangles can be classified by their angles and sides. The three most common types of triangles are equilateral, isosceles, and scalene. An equilateral triangle has three equal sides and three equal angles. An isosceles triangle has two equal sides and two equal angles. A scalene triangle has three unequal sides and three unequal angles. All triangles have an area, perimeter, and at least one line of symmetry. Triangles are used in a variety of fields, such as engineering, architecture, and art.

Main body:

according to question :

As the vertices are A,B,C

∠C= 51°

BC = 39

as we need to find relation between perpendicular and base , we will use tangent trigonometric ratio.

AB/BC = tan 51°

x/39 = tan 51°

x = 1.23*39

x = 47.97

Hence ,the length of side is 47.97 unit.

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By solving a linear equation we will see that there are 20 games left.

We know that there is a total of 100 games, and the ratio of wins to loses for the rockets is:

3:2

The ratio for the rangers is:

7:13

We know that if the rockets loses all the remaining games, and the rangers win all the remaining games then both teams will win the same number of games.

Let's define X as the number of games left, the number of games won by the rockets is:

(100 - X)*(3/5)

The number of games won by the rangers is:

(100 - X)*(7/20)

We know that if the rangers win the X games left, they will have the same number of wins than the rockets (if the rockets don't win any more game)

Then we can write the linear equation:

(100 - X)*(7/20) + X = (100 - X)*(3/5)

we can solve this for X.

X = (100 - X)*(3/5) - (100 - X)*(7/20)

X = (100 - X)*(3/5 - 7/20)

X = (100 - X)*(12/20 - 7/20)

X = (100 - X)*(5/20)

(20/5)*X = 100 - X

4*X = 100 - X

4*X + X = 100

5*X = 100

X = 100/5

X = 20

There are 20 games left for the rockets.

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Answer:

0.8 kg of a certain fruit costs $4.8 and you want to find the cost of 4 kg.

The cost of 1 kg is

Therefore, the cost of 4 kg would be

Hence, the expression

represents the cost of buying 4 kgs of a certain fruit that costs $4.8 per 0.8 kg.

Note that the measurement of one side of image WXYZ is 4 units while in W'X'Y'Z' is 2 units.

The side is reduced by 1/2.

So we can say that W'X'Y'Z' is a dilation image of WXYZ with a scale factor of 1/2

ANSWER :

a reduction with scale factor of 1/2

There is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

Based on the empirical rule, approximately 68% of the residents will have heights within one standard deviation (4.2 inches) of the mean (67.8 inches).

Therefore, the probability of a resident being too tall to enter the tent without bowing their head is approximately 32% (100% - 68%).

To express this probability as a decimal to the hundredths place, the answer is 0.32.

In conclusion, there is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

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Answer:

There are 24 outcomes in the sample space.

Step-by-step explanation:

Suppose that we have some events, such that each one of these events has a given number of outcomes.

If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.

Let's apply this to our case.

Here we have two events:

Rolling a standard number cube: 6 outcomes

Spinning a spinner with 4 equal sections: there are 4 outcomes.

Then the total number of outcomes in the sample space is the product:

C = 6*4 = 24 outcomes.

There are 24 outcomes in the sample space.

Answer:

-3(2x+3)=21 does not become -6x+9=21 because wrong foiling.

Step-by-step explanation:

When you distribute -3 with 2x+3 you multiply both values by -3.

-3*2x = -6x

-3*3 = -9 <- This is where the error is. It's -9, not +9.

Answer:  3

Step-by-ste3p explanation:

Answer:

y=x+6

Step-by-step explanation:

Answer: No

0.44 is equal to 44%.

42% is equal to 0.42.

0.44 is greater than 0.44.

44% is greater than 42%.

Answer = no

The coordinates of the vertex of the quadratic functions are (-10, 0)

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Given is a quadratic function, y = (x+10)², we need to find the vertex coordinates,

y = (x+10)²

y = x²+100+20x

For x coordinate,

x = -b/2a

x = -20/2

x = -10

Put x = -10 in equation, to find the y coordinate,

y = (-10+10)²

y = 0

The coordinates are (-10, 0)

Hence, the coordinates of the vertex of the quadratic functions are (-10, 0)

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The option that is not equivalent to the given percentage of 40% is; A:0.04.

We are given the percentage as 40%.

Now, this percentage can be rewritten as a proper fraction as;

40% = 40/100

In decimal form, this is expressed as 0.40

Now, the proper fraction 40/100 can be broken down into;

40/100 = 4/10

Further more when we divide both numerator and denominator by 2, we will get the fraction 2/5.

Thus, the only option that is not equivalent to the given percentage is option A which is 0.04.

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The correct options are;

A) 0.04

B) 0.40

C) 2/5

D) 4/10

I also want to know the answer...........................................

Answer:

6

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have a great day and consider marking this brainiest if you do thank you in advanced!

A Pearson's r correlation coefficient of .71 for age and attention span would be an example of a strong positive correlation.

The Pearson correlation coefficient, denoted by "r," is a statistical measure that quantifies the strength and direction of the linear relationship between two variables. The values of r range from -1 to +1.

A positive correlation indicates that as one variable (in this case, age) increases, the other variable (attention span) also tends to increase. The closer the value of r is to +1, the stronger the positive correlation.

In this example, a correlation coefficient of .71 indicates a relatively strong positive relationship between age and attention span. It suggests that as individuals get older, their attention span tends to increase.

However, it's important to note that correlation does not imply causation. While there is a strong association between age and attention span in this case, other factors could also influence attention span independently of age.

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The steps to solve the equation  (5y - 1)/2 = 7 are assigned and attached

The expression in the problem is (5y - 1)/2 = 7

Clearing the fraction

The fraction is cleared by applying the Multiplication Property of Equality

(5y - 1)/2 = 7

5y - 1 = 14

Adding 1 to both sides of the equation is done using Addition Property of Equality

5y - 1 + 1 = 14 + 1

5y = 15

Making y the subject of formula Division Property of Equality is applied

5y / 5 = 15 / 5

y = 5

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Based on a system of equations, the cost of a soccer ball is $15.50.

A system of equations is two or more equations solved concurrently or at the same time.

A system of equations can also be described as simultaneous equations.

                            Shin Guards    Soccer Balls    Total Cost

First purchase             3                     2                  $48.97

Second purchase       5                     3                  $76.45

Let the cost of shin guards per unit = x

Let the cost of soccer balls per unit = y

Equation 1: 3x + 2y = 48.97

Equation 2: 5x + 3 y = 76.45

Multiply Equation 1 by 1.5:

Equation 3: 4.5x + 3y = 73.455

Subtract Equation 3 from Equation 2:

5x + 3 y = 76.45

-

4.5x + 3y = 73.455

0.5x = 2.995

x = 5.99

Substitute x = 5.99 in Equation 1:

3(5.99) + 2y = 48.97

17.97 + 2y = 48.97

2y = 31

y = 15.5

= $15.50

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Jeremy needs to buy soccer supplies for his team. He bought 3 packs of shin guards and 2 soccer balls for $48.97.

a) It is a vertical dilation of scale factor of 5.

b) It is a translation up of 10 units.

Here we have the line:

S(d) = 5d + 10

That represents the cost for renting the surboard for d days.

Remember that the parent linear function is y =x

A) 5 in this case is the slope, it says how much the cost for the rental increases for each day that passes. The effect on the linear parent function is a dilation of scale factor of 5.

B) 10 is the y-intercept, so this will represent a translation up of 10 units.

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Answer:

4. 8.25

Step-by-step explanation:

x/5.25=6.6/4.2

Cross Multiply
4.2x=34.65

Divide

8.25

Answer:

D) Leave the conversion factor in fraction form

Step-by-step explanation:

Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal. The correct option is option D.

A conversion factor is a ratio expressed as a fraction that equals 1. When we use conversion factors to convert units, we multiply our original measurement by the conversion factor to get the same measurements expressed in new units.

If we have a conversion factor given to us in a fraction form that cannot be represented as an easy decimal. Leave the conversion factor in fraction form.

Because there are two type of decimals:

Terminating decimal expansion means the decimal expansion of a number which stops after a certain number of decimal places. For example, if we divide 100 by 16, the answer comes out as 6.25.Since the number of decimal place in 6.25 is 2,i.e., it stops after a certain number of decimal places, it is called a terminating decimal expansion.

On the other hand, if the decimal expansion of a number does not stop at all, then it is called a non-terminating decimal expansion. For example, if we divide 100 by 7, then the answer comes out to be 14.28571428571…….. . The decimal expansion does not stop. This is known as a non-terminating decimal expansion.

In general, if a fraction has a denominator of the form 2^n*5^m, where m and n are non-negative integers, then it will have a terminating decimal expansion. For example, 100/16 has denominator 16 which is of the form 2^4*5^0, so it has a terminating decimal expansion.

If a fraction has a denominator which is not of the form 2^n*5^m, where m and n are non-negative integers, then it will have a non-terminating decimal expansion. For example, 100/7 has a denominator 7 which is not of the form 2^n*5^m so it has a non-terminating decimal expansion.

Hence, Leave the conversion factor in fraction form, when fraction form that cannot be represented as an easy decimal.

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Answer:

Paul needs 276 feet of string for his uncle's birthday party.

Step-by-step explanation:

From the problem we are given, we can simply break it down as follows:

Paul wants each balloon string to be 6 feet long.

Paul also wants to get 46 balloons with each of them having 6-feet long strings attached to them.

This means that Paul will need 6 feet ling strings 46 times (that is for all the 46 balloons)

to solve this mathematically, we multiply 46 X 6 to get 276 feet.

Therefore, Paul needs 276 feet of string for his uncle's birthday party.

Answer:

6 is 1 bigger than 5

Step-by-step explanation:

Answer:

oasdkopdpoasdkpoadkaopsdkposposdadas

Step-by-step explanation:

Answer:

Vertical angles

Step-by-step explanation:

I just think that's the answer

have a great rest of ur day though

Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

The inverse and domain of the function are y = x²-9 and all real numbers.

A function's inverse is a function that reverses the action of a function, such as g(x). If and only if g(x) is bijective, then the inverse of g(x) exists, and if it exist.

If the function f(x)=√x + 9, find the inverse;

y = √x+9

x = √y+9

x² = y+9
y = x²-9

The domain of the inverse function will exist on all real numbers.
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The value of x is 8.5 cm

The complete question is in the image

The given parameters are:

y = 12 cm

\(\theta = 45^o\)

The value of x is calculated using the following sine ratio

\(\sin(\theta) = \frac xy\)

This gives

\(\sin(45^o) = \frac x{12}\)

Multiply by 12

\(x = 12 * \sin(45^o)\)

Evaluate

x = 8.5

Hence, the value of x is 8.5 cm

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