Alishia rides her bike 45.3 km in 143 minutes. what is her average speed in kilometers per hour?

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

Roots are simply the points where the graph intercepts with the x-axis. ( y = 0 )
That is, y = 0 the roots

Given the roots of the equation;

Now, at x = 4,

x = 4

x - 4 = 0

y = ( x - 4)

Also, at x = -7,

x = -7

x - ( - 7 ) = 0

x + 7 = 0

y = ( x + 7 )

Hence; for the equation with the given roots; 4 and -7 will be;

y = ( x - 4)( x + 7 ).

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

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Step-by-step explanation:

the functional graph is the line.

a functional graph is always showing the direct relationship between a value on one coordinate axis with a value in the other coordinate axis

here it is between the price in dollars (as we can understand it : per unit) and the number of units sold.

clearly, the more units we sell, the cheaper we have to make the price per unit.

the question is how many units can be sold for a given price ($60).

so, I find the given price on the price axis (in this case the vertical axis), go then along that price all the way to the right until I hit the function line, and then go straight down to the unit axis and see what value I am hitting there : 80. which means 80,000 units.

so, I can sell 80,000 units for $60 per unit.

The value of the expression 6x+3y is 33

System of equations consists of two or more equation with unknown variables.

Given the equation below

8x + 4y = 44,

Factor out 4 from the equation to have:

4(2x+y) = 44

Divide both sides by 4

2x+y = 11

Determine the value of 6x+3y

6x+3y = 3(2x+y)

6x+3y = 3(11)

6x+3y =33

Hence the value of the expression 6x+3y is 33

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The range of the attached function is 0 ≤ y ≤ 8

The complete question is added as an attachment

From the graph, we have the following highlights

This means that the y value do not exceed 8, and the minimum is 0

Hence, the range of the attached function is 0 ≤ y ≤ 8

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Answer:

60

Step-by-step explanation:

140 = 80 + z

z = 60

Answer:

60°

Step-by-step explanation:

The whole angle is 140° and one side is 80°. Now, you just have to subtract 140 and 80 to get 60. I hope this helps!

The commission rate exists at $8,493 with a rate of 9.5%.

Jorge earns 9% from all his sales, so his commission exists

89400 × 0.09 = $8046

Harris made $447 more than that, so his commission exists

8046 + 447 = $8493

To estimate his commission rate, we can utilize the subsequent equation

89400 × rate percentage = 8493

Rate percentage = 8493 / 89400

Rate percentage = 0.095

Rate percentage = 9.5%

So Harris' commission exists at $8,493 with a rate of 9.5%.

Therefore, the commission rate exists at $8,493 with a rate of 9.5%.

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Answer:

Length is equal to 18

Step-by-step explanation:

The formula for finding the area(A) of a rectangle in Length(L) times width(W): A=(W)(L). If we plug in the given information into the equation, you will get 144=(8)(L). From there we solve for L.

144 = (8)(L)

144/8 = (8)/8 (L)

18 = L

The two methods which can be used to solve the quadratic equation are; The completing the square method and the factor method.

Although, not limited to the aforementioned methods of solving quadratic equations, the two methods are major methods of solving quadratic equations.

The completing the square method (also used in expressing quadratic equations in vertex form) and the factor method are very efficient method of solving quadratic equations.

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Solving a linear equation, we conclude that Margo's paycheck is of 96 dollars.

We know that she spends one quarter on a dress, one eight on shoes, and $24 on a birthday present.

We also know that she spent a total of $60.

If we define P as Margo's paycheck, then we know that:

(1/4)*P + (1/8)*P + $24 = $60

Now we just need to solve that linear equation for P, we will get:

(2/8)*P + (1/8)*P = $60 - $24 = $36

(3/8)*P = $36

P = (8/3)*$36 = $96

In this way, we conclude that Margo's paycheck is of 96 dollars.

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The probability that the call center will get fewer calls than 440 is 0.26115.

Given mean of 4900 and standard deviation of 700.

We have to calculate the probability that the call center will get fewer than 4400 calls.

Probability lies between 0 and 1.

μ=4900

σ=700

We can  apply z as well as t statistics because the sample size is not given.

We are applying z statistics.

P(X<4400)=0.5-P(4400<X<4900)

z=X-μ/σ

where μ= mean

σ=standard deviation

z=4400-4900/700

=-500/700

=-0.71

p value of -0.71 is 0.23885.

So the p value of calls less than 4400 is 0.5-0.23885=0.26115.

Hence the probability that the call center will get calls less than 440 is 0.26115.

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Answer:

A.  12 grams Zn

B.  280 g of copper.

Step-by-step explanation:

100 grams of brass

20 grams of zinc

100 grams of brass has 20 grams of Zn.

20/100 = 0.200  Zn   20% Zn  and 80% copper.

A.  (60 g brass)*(0.2) = 12 grams Zn

B.  (350 g brass)*(0.80) = 280 g of copper.

Hello,

52% of 230 = 52/100 × 230 = 0,52 × 230 = 119,6

Answer:

230 : 100 * 52 =

Step-by-step explanation:

Which expression can be used to find 52% of 230?

The expression is: 230 : 100 * 52 =

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the equation should be:}[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\mathbf{= 3(8) - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (4 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - 5^2 + 8}[/tex]

[tex]\mathbf{= 24 - 25 + 8}[/tex]

[tex]\mathbf{= -1 + 8}[/tex]

[tex]\mathbf{= 7}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{Option\ B. 7}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: 98

Step-by-step explanation: 180 - 82 = 98

180 - 80 = 100, and 100 - 2 is 98.

Each junior  receives 93 score on the test. It is also the average score of the juniors.

Given Information

It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.

Let us assume the total strength of the class is 100, then,

Number of seniors = 90

Number of juniors = 10

It is also given that the average score of the class = 84

And, average score of the seniors = 83

Another given information is that all the juniors all received the same score, which is their average score. Let it be x.

Average Score of Juniors

Total marks obtained by the seniors = Number of seniors × Average score of seniors

= 90 × 83

= 7470

Total marks obtained by the juniors = Number of juniors × Average score of juniors

= 10x

Average marks on the test = Total marks / Total number of students

⇒ 84 = (7470 + 10x)/100

⇒ 84 × 100 = 7470 + 10x

⇒ 10x + 7470 = 8400

⇒ 10x = 8400-7470

⇒ 10x = 930

⇒ x = 930/10

⇒  x = 93

Thus, each junior scores 93 on the test.

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Using Algebraic equation, Kathy worked 22 hours at job A and 12 hours at job B, the week she made US $ 140.60.

Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 6.20

Rate per hour of Job B = US$ 6.50

Earnings received by Kathy during the week = US$ 140.60

Total time worked by Kathy during the week = 22hours

Hours at job A = x

Hours at job B = 22 -x

In order to find how many hours Katy worked at each job: This is the Algebraic equation that we'll use:

6.20x + 6.50 (22 - x) = 140.60

6.20x + 143- 6.50x = 140.60

-0.3x = 140.60 - 143

-0.3x = - 2.4

    x = -(2.4)/-(0.3)

x = 14.3/0.3 = 8 (Dividing by 0.3 at both sides)

Kathy worked 8 hours at job A.

Hours at job B = 22 - x. Put x = 11 we get

Hours at job B = 22 -11

= 11

Hence, using Algebraic equation Kathy worked 22 hours at job A and 12 hours at job B, the week she made US $ 140.60.

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Answer:

$8 each scarf

Explanation:

Let the selling price for each scarf be x,

Formula:

unit amount(selling price - cost price) = total profit

Stepwise:

100(x - 3) = 500

100(x) - 100(3) = 500

100x - 300 = 500

100x = 500 + 300

100x = 800

x = 8

Answer: A

Step-by-step explanation:

See attached image.

area = pi * r^2

here, the radius is 2 as its the diameter/2.

so the area is 4pi.

circumference = 2*pi*r.

so the circumference is 4pi as well.

Averagely, Ana practiced for a greater amount of time each day.

Mean for ana= (20 + 20 + 30 + 60 + 60 + 60 + 70 + 70 + 100 + 100 + 100 + 115 + 115 + 115)/14 = 69.6

Mean for tara= (20 + 20 + 30 + 30 + 45 + 45 + 45 + 70 + 70 + 70 + 75 + 90 + 90 + 120)/14 = 58.6

Median for ana= 70

Median for tara= (45 + 70)/2 = 57.5

Ana has the greater median and also has the greater mean.

Averagely, we can conclude that ana practiced for a greater amount of time each day.

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The probability of rolling an even number with six sided equally weighted die is 0.5.

Given a six sided equally weighted die.

We are required to find the probability of rolling an even number.

Probability is the calculation of  likeliness of happening an event among all the events possible. It lies between 0 and 1. It can be calculated  through simple values and with the formula of combination also. The formula of calculating probability is as under:

Probability= number of items/ total number of items.

Total sides in die=6

Total numbers=1,2,3,4,5,6, therefore 6.

Even numbers=2,4,6. Therefore 3.

Probability = even numbers/total numbers.

=3/6

=1/2

=0.5

Hence the probabilty of receiving an even number from a six sided equally weighted die is 0.5.

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Using the normal distribution, there is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, these parameters are given as follows:

[tex]\mu = 180, \sigma = 20, n = 40, s = \frac{20}{\sqrt{40}} = 3.1623[/tex]

A sum of 7100 is equivalent to a sample mean of 7100/40 = 177.5, which means that the probability is the p-value of Z when X = 177.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{177.5 - 180}{3.1623}[/tex]

Z = -0.79

Z = -0.79 has a p-value of 0.2148.

There is a 0.2148 = 21.48% probability that the sum of the 40 values is less than 7,100.

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The value of x in the triangle is 9.3

The side x of a triangle can be found as follows:

The triangle ABC is similar to triangle ADE.

Therefore, corresponding sides of similar triangles are in the same ratios.

Hence,

7  / 13 = x / x + 8

cross multiply

7(x + 8) = 13x

7x + 56 = 13x

subtract 7x from both sides of the equation

7x - 7x + 56 = 13x - 7x

56 = 6x

divide both sides by 6

x = 56 / 6

x = 9.33333333333

x = 9.3

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The correct answer is

2 loaves of pumpkin bread and 6 loaves of banana bread. Option C.

For the solution for the Pumpkin bread:

4 eggs

3 1/2 cups of flour

Banana bread:

1 egg

1 (0.5) cups of flour

Available ingredients:

14 eggs

16 cups of flour

Assume 2 loaves of pumpkin bread and 6 loaves of banana bread

For the solution for the Pumpkin bread:

PB=4 eggs* 2

PB= 8 eggs

PB=3 *0.5 * 2

PB = 7 cups of flour

For the solution of the Banana bread:

BB =1 *6

BB= 6 eggs

For cups

BB= 1 (0.5) * 6

BB= 9 cups of flour

In conclusion, The solution of the Total used ingredients

I=8 + 6

I= 14 eggs

For cups

IC=7 + 9

IC= 16 cups of flour

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Answer:

C 2 loaves of Pb and 6 loaves of BB

Step-by-step explanation:

Total of 1820 different kinds of banquets can be made.

Combinations are mathematical procedures that count how many different ways a collection of items could be arranged when the order in which they are chosen is immaterial. Combos' components can be chosen in any hierarchy.

[tex]$C_{12}(16)=\left(\begin{array}{l}16 \\ 12\end{array}\right)=\frac{16 !}{12 !(16-12) !}=\frac{16 \cdot 15 \cdot 14\cdot13}{4\cdot3 \cdot 2 \cdot 1}=1820[/tex]

[tex]$n=5$ $k=12$\\$x=\left(\begin{array}{c}n+k-1 \\ k\end{array}\right)=\left(\begin{array}{c}5+12-1 \\ 12\end{array}\right)=1820$[/tex]    

Total of 1820 different kinds of banquets can be made

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Answer:

3. Completing the Square

4. 0, 1, or 2

Step-by-step explanation:

Hello!

a) Graphing

Graphing is a useful method as it lays the answer out in front of you. Once you graph the parabola, you simply take the intersections of the graph and x-axis as your x-intercepts. Therefore, it is a method.

b) Factoring

Factoring can be used to find x-intercepts, and after factoring, you can set each factor to 0 and solve for x, which are the x-intercepts. This method is also called the Zero Product Property.

c) Quadratic Formula

The quadratic formula is meant to solve for the x-intercepts, as the formula uses values of the coefficients to isolate x and solve for it.

Standard form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]

Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]

Plugging in the values of a, b, and c give you the solutions for x.

d) Completing the Square

Completing the square CAN be used to find the x-intercepts, but not directly so. It is used to convert standard form into a different form, known as the vertex form. It is meant so find the vertex, not the x-intercepts.

Therefore, Completing the Square is NOT a method to find the x-intercepts.

The number and types of solutions depend on the discriminant of the quadratic (the part under the square root in the QF).

Types of roots:

That means that a quadratic equation can have 0, 1, or 2 roots.

Answer:

Completing the square and 2, 1, and 0.

Step-by-step explanation:

Person above is correct!!

The height that should be used is DE

From the question, we are to determine what should be used as the height

The area of a parallelogram is given by the formula,

A = b × h

Where A is the area

b is the base

and h is the perpendicular height

In the given diagram, if AB is used as the base, then the height that would be used will be DE. This is because DE is perpendicular to AB

Hence, the height that should be used is DE

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Answer:

2

Step-by-step explanation:

The graphs intersect at 2 points.

The 2 solutions are x = -2 and x = 6.

Answer:

  14400 cm³/s

Step-by-step explanation:

Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.

  V = s³ . . . . volume in terms of edge length (s)

  dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time

For the given values of s and ds/dt, this is ...

  dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s

Answer:

i need this too hahahaha