1. What are the term(s), coefficient(s), and
constant(s) described by the phrase, "the cost of
6 pizzas, c being the cost of each pizza, and a
delivery charge of $5?"
A. Term: 6c, coefficient: 6, constant: 5
B. Term: 6c and 5, coefficient: 6, constant: 5
C. Term: 6c and 5, coefficient: 5, constant: 6
D. Term: 11c, coefficient: 11, constant: none

Answer:

7/15

Step-by-step explanation:

You can put in your graphing calculator if you have one

Answer:

Step-by-step explanation:

Answer:

[tex]p \geqslant - 14[/tex]

Step-by-step explanation:

[tex] \frac{p}{2} \geqslant - 7 \\ p \geqslant - 14[/tex]

Answer:

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

Step-by-step explanation:

Given:

[tex]y^{2}-7y+6=-6[/tex]

To Find:

a ,b , c

Solution:

Quadratic:

A quadratic equation is an equation of the second degree.

Meaning it contains at least one term that is squared.

The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

Here it is given as

[tex]y^{2}-7y+6=-6[/tex]

Adding 6 on both the side we get

[tex]y^{2}-7y+6+6=-6+6[/tex]

[tex]y^{2}-7y+12=0[/tex]

Which is Quadratic Equation in STANDARD form Where,

[tex]a=1\\b=-7\\c=12[/tex]

Therefore,

[tex]y^{2}-7y+12=0[/tex]       ....Standard form.

[tex]a=1\\b=-7\\c=12[/tex]    ......Numerical Coefficients.

The computer cost is $3000

Step-by-step explanation:

The given is:

We need to find the cost of the computer

Assume that the price of the computer is $x

∵ The ratio between the prices of the tv and the computer is 13 : 15

∵ The price of the computer is $x

∵ The price of the tv 400 dollars cheaper than the computer

- That means the price of the tv is less than the price of the

  computer by $400

∴ The price of the tv is $(x - 400)

By using the ratio method

→  tv              :    computer

→  13              :    15

→  (x - 400)   :    x

By using the cross multiplication

∴ 15(x - 400) = 13(x)

- Simplify the left hand side

∴ 15x - 6000 = 13x

- Add 6000 to both sides

∴ 15x = 13x + 6000

- Subtract 13x from both sides

∴ 2x = 6000

- Divide both sides by 2

∴ x = 3000

The computer cost is $3000

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Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

❤A.W.E.S.W.A.N.❤

Answer:

27 flowers

Step-by-step explanation:

Let

x ----> the number of roses

y ----> the number of carnations

z ----> the number of daisies

we know that

[tex]x=3y[/tex] ----> equation A

[tex]y=z-12[/tex] -----> equation B

[tex]z=15[/tex] -----> equation C

substitute the value of z in equation B

[tex]y=15-12=3[/tex]

substitute the value of y in equation A

[tex]x=3(3)=9[/tex]

so

Rachel have 9 roses, 3 carnations and 15 daisies

In total

9+3+15=27 flowers

Rachel has 15 daisies, 3 carnations, and 9 roses, giving her a total of 27 flowers.

Let's break down the information provided:

Step-by-Step Solution:

1. Start with the number of daisies: 15 daisies.

2. Rachel has 12 fewer carnations than daisies:
    15 daisies - 12 = 3 carnations.

3. Rachel has 3 times as many roses as carnations:
    3 carnations * 3 = 9 roses.

4. Add up all the flowers she has:
    15 daisies + 3 carnations + 9 roses = 27 flowers in total.

Therefore, Rachel has a total of 27 flowers.

To find the total amount paid for the car after 2 years, we use the compound interest formula [tex]A = P(1 + r)^n[/tex], where P is the initial loan amount, r is the interest rate, and n is the number of years. Substitute in the given values to calculate the final amount.

To calculate the total amount paid for the car after 2 years, we apply the formula for compound interest. The formula is[tex]A = P(1 + r)^n[/tex], where A is the final amount, P is the principal (or initial amount), r is the interest rate, and n is the number of periods. In this case, P = $54200, r = 15.1% or 0.151, and n = 2.

Plugging these values into the formula:

[tex]A = $54200 * (1 + 0.151)^2[/tex].

Once you solve the equation, you will find the total amount paid for the car after 2 years.

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Final answer:

Using the compound interest formula, you will have paid $71,787.31 for a $54,200 car loan at 15.1% interest compounded annually after 2 years.

Explanation:

To calculate the total amount paid for a car after 2 years on a loan of $54,200 with an interest rate of 15.1% compounded annually, we'll use the formula for compound interest:

[tex]A = P (1 + r/n)^{(nt)}[/tex]

Where:

For this car loan:

Substitute the values into the formula:

A = $54,200 (1 + 0.151/1)^(1*2)

A = $54,200 (1 + 0.151)^2

A = $54,200 (1.151)^2

Calculate the amount:

A = $54,200 * (1.151)^2

A = $54,200 * 1.324301

A = $71,787.31

After 2 years, you will have paid $71,787.31 for your car.

Answer:

a)3.89 b)0.5%

Step-by-step explanation:

389%= 389/100

0.005*100%

=0.5%

Answer:

570 miles in 15 weeks

Step-by-step explanation:

trust me

Answer:

570

Step-by-step explanation:

because 38 miles x 15 weeks is 570 miles

Step-by-step explanation:

Given,

The length of a rectangle(l) = 2(x + 1) meters and  

The perimeter of a rectangle = 60 meters

To find, the width of a rectangle(b) = ?

We know that,

The perimeter of a rectangle = 2(l + b)

⇒  2(2(x + 1) + b) = 60

⇒  2(x + 1) + b =[tex]\dfrac{60}{2} =30[/tex]

⇒ b = 30 - 2(x + 1)

⇒ b = 30 - 2x - 2

⇒ b = 28 - 2x

⇒ b = 2(14 - x)

∴ The width of a rectangle(b) = 2(14 - x)

Hence, the width of a rectangle(b) = 2(14 - x)

(a) The volume of the swimming pool is 330 m³

(b) The surface area of the model swimming pool is 30.25 cm².

(a) The volume of the swimming pool is calculated by applying the following formula as follows;

V = Ah

where;

V = 300 m² x 1.1 m

V = 330 m³

(b) The surface area of the model swimming pool is calculated by applying the following formula;

Assuming the model swimming pool is a square.

S.A = L²

S.A = 5.5 cm x 5.5 cm

S.A = 30.25 cm²

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The length of FD = 0.76 feet.

Step-by-step explanation:

Given that in ΔDEF, the angle F measures 90° and the angle D measures 83° and EF=6.2 feet

To find the length of FD, let us use the tangent function. The tangent of an angle is the length of opposite side divided by the length of the adjacent side.

[tex]\tan \theta=\frac{o p p}{a d j}[/tex]

From the given data, θ=83°, [tex]o p p=6.2[/tex] and [tex]a d j=x[/tex]

Substituting these values in the tangent formula, we get,

[tex]\begin{array}{r}{\tan \theta=\frac{o p p}{a d j}} \\{\tan 83^{\circ}=\frac{6.2}{x}}\end{array}[/tex]

Using calculator, the value of [tex]\tan 83^{\circ}=8.14[/tex] and substituting and solving the equation, we get,

[tex]\begin{aligned}8.14 &=\frac{6.2}{x} \\x &=\frac{6.2}{8.14} \\x &=0.76\end{aligned}[/tex]

Thus, the length of FD = 0.76 feet.

Answer:

Step-by-step explanation:

1 ft = 250 feet....so 2.5 ft = (2.5 * 250) = 625 feet <==

The actual length of airplane using the scale factor is; 625 feet.

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

We are given that;

Length of Airplane = 2.5 feet

Now, we want to find the actual length of the airplane with a scaled length of 2.5 feet.

1 foot = 250 feet,

Thus, the actual length of airplane= (2.5 x 250)

the actual length of airplane= 625 ft

Hence, The actual length of airplane using the scale factor is; 625 feet.

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Answer: If x is odd then x + 2 is going to be the next odd integer

Step-by-step explanation:

Set up the equation and solve.

x + x + 2 = 92 This is the equation. Collect like terms.

2x + 2 = 92 Subtract 2

2x = 90 divide by 2

x =45

x + 2 = 47

45 + 47 = 92.  

So x + 2 is the next odd number after x.

Answer:

x + 2

Step-by-step explanation:

Answer:

[tex]\frac{19}{44}[/tex]

Step-by-step explanation:

The ratio of width : length = [tex]\frac{57}{132}[/tex]

To simplify divide ( cancel ) the numerator/ denominator by 3

= [tex]\frac{19}{44}[/tex] ← in simplest form

Answer:

-5

Step-by-step explanation:

-10+5b=-35

5b=-35-(-10)

5b=-35+10

5b=-25

b=-25/5

b=-5

Answer:

i think 2m

Step-by-step explanation:

3 plus 3 is 6 minus 8

a)Exercise hour per day is 0.903

b) Exercise hour per day is 0.01573

c) The predicted values are closer to given data points.

What line of best fit?

The line of best fit is a straight line that minimizes the sum of squared differences between observed and predicted values.

From the graph we can find the line equation.

Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

a) If 0.25 hours were spent on social media per day.

0.25/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day = (1 - (0.25/1.4))*1.1

Exercise hour per day = 0.8215*1.1

= 0.903

b) Social media hours per day/1.4 + Exercise hour per day/1.1 = 1

Given that 1.38 hours were spent on social media

1.38/1.4 + Exercise hour per day/1.1 = 1

Exercise hour per day/1.1 = 1 -(1.38/1.4))

Exercise hour per day = 0.0143*1.1

= 0.01573

c) The predictions from a) and b) are correct because the line almost fits the data points. The line on the data point is minimum error. The line gives the estimated values not the actual values. The predicted values are closer to given data points.

Complete question

Answer:

1.728 is the correct answer

The points that represent the relationship are (2,4), (5,7), (7,9).

Step-by-step explanation:

1. It is given that Brent was always 2 meters in front of Joel.

2. In the first case, when Joel is at 2 meters, Brent will be 2 meters in front of that, i.e. at 2 meters + 2 meters = 4 meters. Hence, when Joel is at 2 meters distance from the school, Brent will be at 4 meters distance from the school. Hence, the point on the coordinate grid is (2,4) here.

3. Similarly, in the second case, when Joel is at 5 meters, Brent will be 2 meters in front of that, i.e. at 5 meters + 2 meters = 7 meters. Hence, the point on the coordinate grid is (5,7) here.

4. Similarly, in the third case, when Joel is at 7 meters, Brent will be 2 meters in front of that, i.e. at 7 meters + 2 meters = 9 meters.  Hence, the point on the coordinate grid is (7,9) here.

Answer:

"D" (and any subsequent words)

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

in this form, the constant of proportionality is also known as the slope....and it can be found in the m position

y = 3x.....is actually y = 3x + 0....so the slope (constant of proportionality is gonna be 3

Answer:

the constant proportionality it gonna be 3

Step-by-step explanation:

the starting equation is y=mx+b

plug in the numbers and get your answer

my photo math said it is x = 0 lol

Answer:

x+6

Step-by-step explanation:

just took it on edge

x-6 is the rule which describes the x-coordinates in the translation  

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.

In the given graph B is the image and A is the preimage.

The image B is shifted to left by six units.

x-6 is the rule which describes the x-coordinates in the translation  

Hence,  x-6 is the rule which describes the x-coordinates in the translation  

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Answer: D?

Step-by-step explanation:

Answer:

c ≤ - 32

Step-by-step explanation:

It will be less than or equal to - 26 if a number c is increased by 6.

Now, we have to solve the inequality for c.

The inequality is, c + 6 ≤ - 26

⇒ c + 6 - 6 ≤ - 26 - 6 {Subtracting 6 from both the sides}

⇒ c ≤ - 32

Therefore, the solution of the inequality is that c is less than or equal to - 32. (Answer)

Answer:

Step-by-step explanation:

first term:  put n = 1

36(1/3)^n-1 = 36(1/3)^1-1 =12 - 1 = 11

2nd term:  put n = 2

36(1/3)^n-1 = 36(1/3)^2-1 = 19.784

3rd term:  put n = 3

36(1/3)^n-1 = 36(1/3)^3-1 = 0.3333

4th term:  put n = 4

36(1/3)^n-1 = 36(1/3)^4-1 = -0.5555

5th term:  put n = 5

36(1/3)^n-1 = 36(1/3)^5-1 =-0.85185

Answer:

see attached picture please

Answer:

3x² -- 5x -- 8

Step-by-step explanation:

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

3

⋅

−

8

=

−

24

and whose sum is

b

=

−

5

.

Tap for fewer steps...

Factor

−

5

out of

−

5

x

.

3

x

2

−

5

(

x

)

−

8

Rewrite

−

5

as

−

8

plus

3

3

x

2

+

(

−

8

+

3

)

x

−

8

Apply the distributive property.

3

x

2

−

8

x

+

3

x

−

8

Factor out the greatest common factor from each group.

x

(

3

x

−

8

)

+

1

(

3

x

−

8

)

Factor the polynomial by factoring out the greatest common factor,

3

x

−

8

.

(

3

x

−

8

)

(

x

+

1

)

Question :

The sum of three consecutive odd integers is 201. Find the integers.

Answer:

The Integers are 65,67,69.

Step-by-step explanation:

Let x be any number. when it is multiplied by 2 it becomes an even number.

So, 2x is an even number. Now adding an odd number to 2x , it becomes an odd number

so

First odd number be 2x+1

Second  odd number be 2x+3

Third odd number be  2x+5

Now the sum of these three odd number gives 210,

That is

(2x+1) +(2x+3) +(2x+5) = 201

2x+1+2x+3+2x+5 =201

6x + 9 = 201

6x = 201- 9

6x = 192

[tex]x =\frac{192}{6}[/tex]

x = 32

Hence

The first odd number is  (2x+1) = (2(32)+1) = 64+1 =65

The second odd number is  (2x+3) = (2(32)+3) = 64+3 =67

The third  odd number is  (2x+1) = (2(32)+5) = 64+5 =69

Answer:

Step-by-step explanation:

P(7) = No.of possibilities for getting 7/Total outcomes

=1/8

Answer:

1/8

Step-by-step explanation:

there is 8 "slices" and 1 7