Find the value of x for C below. (4x +15) (6x +3)"​

Answer:

D

Step-by-step explanation:

Option A is $6 for two pounds of apples, option B is $5.50 for two pounds of apples, option C is $5.80 for two pounds of apples, and option D is $6.50 for two pounds of apples (9.75/3=3.25x2=6.5). Therefore D is the most expensive.

I hope this helps :)

Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

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The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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Answer:

x > 2

Step-by-step explanation:

4x + 9 > 17

4x > 17 - 9

4x > 8

x > 2

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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Answer:

0.39

Step-by-step explanation:

Height of triangle (h) = 2.5 + 4 = 6. 5 cm

Base of triangle (b) = 3 + 3 = 6 cm

Radius of circle (r) = 4 cm

Required probability = Area of triangle/Area of circle

\( = \frac{ \frac{1}{2} bh }{\pi {r}^{2} } \\ \\ = \frac{ \frac{1}{2} \times 6 \times 6.5 }{3.14 \times {4}^{2} } \\ \\ = \frac{3 \times 6.5}{3.14 \times 16} \\ \\ = \frac{19.5}{50.24} \\ \\ = 0.388136943 \\ \\ \approx0.39\)

The horizontal asymptote is y = 7 and the function is an example of exponential decay

The equation of the function is given as:

g(x) = -28/[2^(5x + 5)] + 7

Rewrite the equation as follows:

g(x) = -28/[2^(5x) * 2^5] + 7

Evaluate the exponent

g(x) = -28/[2^(5x) * 32] + 7

Divide

g(x) = -7/[2^(5x) * 8] + 7

Rewrite as:

g(x) = -7/[8 * 2^(5x)] + 7

Further, rewrite as:

g(x) = -7/8 * 2^(-5x) + 7

Rewrite properly as:

\(g(x)=-\frac{7}{8}\left(2^{-5x}\right)+7\)

We have:

g(x) = -7/8 * 2^(-5x) + 7

Set the radical to 0

g(x) = 0 + 7

Evaluate

g(x) = 7

This represents the horizontal asymptote (it has no vertical asymptote)

Hence, the horizontal asymptote is y = 7 and the function is an example of exponential decay

The function can take any input.

So, the domain is -∝ < x < ∝

We have the horizontal asymptote to be

y = 7

The function cannot equal or exceed this value.

So, the range is x < 7

Set x = 0

g(0) = -7/8 * 2^(-5 * 0) + 7

This gives

g(0) = -7/8 * 2^(0) + 7

Evaluate the exponent

g(0) = -7/8 + 7

Evaluate the sum

g(0) = 49/8

So, the y-intercept is 49/8

Set g(x) = 0

0 = -7/8 * 2^(-5x) + 7

This gives

-7 = -7/8 * 2^(-5x)

Divide by -7

1 = 1/8 * 2^(-5x)

Multiply by 8

8 = 2^(-5x)

Solve for x

x = -0.6

So, the x-intercept is -0.6

See attachment for the sketch

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Answer: 65

Step-by-step explanation:

Measure of ∠M to the nearest degree is \(65^{0}\).

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Given

k = 76 inches

l = 30 inches

m = 69 inches

From the law of cosines

Cos <M = \(\frac{k^{2} +l^{2} -m^{2} }{2.k.l}\)

Cos <M = \(\frac{76^{2} +30^{2} -69^{2} }{2.76.30}\)

Cos <M = \(\frac{1915}{4560}\)

Cos <M = 0.42

<M  = \(cos^{-1} (0.42)\)

<M ≈ \(65^{0}\)

Hence, measure of ∠M to the nearest degree is \(65^{0}\).

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Answer:

I believe that her theory is correct

Step-by-step explanation:

this is because the ratio of cups of sugar to cups of flour is 1:3 and if we times both sides by 3 we get 3:9 which is the answer she presents

Using the equations x + y = 17 and 6x + 3y = 75 the number of batches of fudge brownies and peanut butter brownies is obtained as 8 and 9 respectively.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

Let's use variables to represent the unknown quantities we're trying to find. Let -

x be the number of batches of fudge brownies that Sandra made

y be the number of batches of peanut butter brownies that Sandra made

From the problem, we know that -

Each batch of fudge brownies makes 6 pans, so the total number of pans of fudge brownies is 6x.

Each batch of peanut butter brownies makes 3 pans, so the total number of pans of peanut butter brownies is 3y.

Sandra made 17 batches in total, so x + y = 17.

Sandra ended up with 75 pans of brownies in total, so 6x + 3y = 75.

We can now use these equations to solve for x and y.

First, let's use the equation x + y = 17 to solve for x in terms of y -

x + y = 17

x = 17 - y

Substituting this into the second equation, we get -

6x + 3y = 75

6(17 - y) + 3y = 75

102 - 3y = 75

-3y = -27

y = 9

So Sandra made 9 batches of peanut butter brownies.

To find the number of batches of fudge brownies, we can use the expression x + y = 17 -

x + y = 17

x + 9 = 17

x = 8

Therefore, Sandra made 8 batches of fudge brownies and 9 batches of peanut butter brownies.

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Answer:

jack would need 2 1/4 cups of flour and 3 3/8 taps of salt

Step-by-step explanation:

Answer:

3 and 3/8  tap of salt and 2 and 1/4 cups of flour

Step-by-step explanation:

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

answer 105

Step-by-step explanation:

3x5=15

than do 15x7 u will get 105

Step-by-step explanation:

There are FOUR queens in a deck of 52 cards

4/52 chance of selecting a queen =  1/13  chance  = .07692 chance

you should invest approximately $500,000 today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years.

To determine how much you should invest today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years, we can use the formula for simple interest:

A = P(1 + rt)

Where A is the future value, P is the principal (the amount you should invest today), r is the interest rate, and t is the time in years.

We can rearrange the formula to solve for P:

P = A / (1 + rt)

Plugging in the values, we have:

P = 1,175,000 / (1 + 0.09 * 15)

P = 1,175,000 / (1 + 1.35)

P = 1,175,000 / 2.35

P ≈ $500,000

Therefore, you should invest approximately $500,000 today at 9% simple interest to reach your retirement goal of $1,175,000 in 15 years.

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Step-by-step explanation:

there are

150 + 83 + 57 + 10 = 300 students in total.

so,

100% = 300

1% = 100%/100 = 300/100 = 3

a.

150 / 3 = 50%

b.

83 / 3 = 27 2/3 % or 27.66666...%

c.

57 / 3 = 19%

d.

10 / 3 = 3 1/3 % or 3.333333...%

The absolute value inequality represents the difference between the rope lengths cut and the specifications are | x - 10 | ≤ 0.5.

Modulus value always outputs a positive value irrespective of the input value sign.

Julian needed to cut ropes for her school project and their length should be 10 inches long with a difference of 0.5 inches.

∴ The maximum allowable length of the rope should be (10 + 0.5) = 10.5 inches and the minimum allowable length of the rope should be

(10 -0.5) = 9.5 inches.

The absolute value of inequality that represents this condition is,

| x - 10 | ≤ 0.5.

x - 10 ≤ 0.5.

x ≤ 10.5, And

- ( x - 10) ≤ 0.5.

-x + 10 ≤ 0.5.

- x ≤ - 9.5.    ( think of moving the terms on either side to make x positive).

x ≥ 9.5.

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Answer:

9.375 days

Step-by-step explanation:

Let d be the number of days the do 1 work(job). The speed A can do the job is (1/3)/(5)=1/3 × 1/5=1/15. The speed B can do the job is (2/5)/(10)=2/5 × 1/10=2/50=1/25. (These speeds have units work per 1 day)

So the amount of work done in d days for A is 1/15×d=d/15 and that same amount of days B does 1/25×d=d/25 work.

We are trying to figure out when they ddo 1 work together.

We need to solve

d/15+d/25=1

Multiply both sides by 75=least common multiple of 15 and 25.

75d/15+75d/25=75

Reducing:

5d+3d=75

Combine like terms:

8d=75

Divide both sides by 8:

d=75/8

d=9.375

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Answer:

4 ( x ) + ( y )

Step-by-step explanation:

.........

hmm yeah

Answer:

4*(4 + y)

Step-by-step explanation:

4*4 + 4y

16 + 4y

highest common factor is 4

4*(4+y)

Answer:

C: Point(0,50) Represents the unit rate

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

You need to multiply then subtract

It can be seen that the car's stopping distance depends upon the initial speed.

Yes the speed of the car affects its stopping distance when the brakes are applied. Assume the initial velocity to be 'u' and after deaccelerating at 'a' m/s², the car stops after distance 'S'. Now, we can write that -

S = ut + 1/2 at²

We can also write -

v = u + at

t = (v - u)/a

t = - u/a       {final velocity is zero}

Then, we can write that -

S = u x (-u/a) + 1/2 a(- u/a)²

S = u x (-u/a) + 1/2 x a x u²/a²

S = - u²/a + u²/2a

S = u²/a(1/2 - u)

So, it can be seen that the car's stopping distance depends upon the initial speed.

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The spaceship has 383,900 kilometers left to travel

A spaceship route is 384,400 kilometers long

The spaceship travels 500,000 meters

Convert 500,000 meters to kilometers

500,000/1000

= 500 kilometers

The number of kilometers left to travel can be calculated as follows

384,400- 500

= 383,900

Hence the Spaceship has 383,900 kilometers left to travel

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The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Answer:

Modal average is the number that appears the most

Modal average: 3

1+2+3+4+5=15

15/3=    Mean: 3

Step-by-step explanation:

add all the bedrooms and divide that sum by the number of numbers added. That's the mean.

Hope this helps.

A) 4 is the mode of the table

B)

1+2+3+4+5=15

15/5=3

Given the sequence below

It follows the rule

Where

Where

Where

Where

Where

For the 5th term,

Where

Hence, the sequence is

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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When the relationship between the regression line and the data points is weak, it indicates a lack of strong association and highlights the need for further investigation and consideration of alternative explanations to better understand the underlying dynamics of the variables being studied.

When the relationship is weak, it implies that the data points are scattered and do not follow a clear pattern or trend. The variability in the data is high, making it difficult to establish a strong linear relationship. This could be due to various reasons, such as the presence of outliers, measurement errors, or the existence of other unaccounted factors influencing the variables.

The weak relationship between the regression line and the data points suggests that the predictive power of the regression model is limited. The regression line may not effectively explain or predict the values of the dependent variable based on the independent variable(s). Consequently, relying solely on the regression analysis to make accurate predictions or draw conclusions may be unreliable.

It is important to interpret the results cautiously and consider alternative explanations or additional variables that might contribute to the observed variability in the data. Further exploration and analysis may be needed to identify other potential factors that influence the relationship between the variables and to determine whether a different model or approach is more appropriate.

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