3. Darren won Round 3 of the game. Sherri is wondering if she lost Round 3 by 5 points or by 25 points. Explain to Sherri how many points Darren won Round3 by and show the mathematics you used to justify your answer.4. Sherri and Darren actually played with a third player, their friend Eric. Unfortunately, Eric forgot to record the points he scored in each of the three roundsin the table.

3. Darren Won Round 3 Of The Game. Sherri Is Wondering If She Lost Round 3 By 5 Points Or By 25 Points.

Answers

Answer 1

Sherry lost the round 3 by 25 points

Explanation:

Sherry's point in third round = -10

Darren's point in the third round = 15

To determine the number of points Sherry lost round 3 by, we will subtracct Sherry's point from Darren's point:

[tex]\begin{gathered} \text{Darren's point - Sherry's point} \\ =\text{ 15 - (-10)} \\ =\text{ 15 + 10} \\ =\text{ 25} \end{gathered}[/tex]

Sherry lost round 3 by 25 points


Related Questions

Nguyen deposited $35 in a bank account earning 14% interest, compounded annually. How much interest will he earn in 72 months?

Answers

Given:

a.) Nguyen deposited $35 in a bank account.

b.) It earns 14% interest.

To be able to determine how much interest will he earn in 72 months, the following formula will be used for Compound Interest:

[tex]\text{ Interest Earned = P(1 + }\frac{\frac{r}{100}}{n})^{nt}\text{ - P}[/tex]

Where,

P = Principal amount

r = Interest rate

n = No. of times the interest is compounded = annually = 1

t = Time in years = 72 months = 72/12 = 6 Years

We get,

[tex]\text{ Intereset Earned = (35)(1 + }\frac{\frac{14}{100}}{1})^{(1)(6)}\text{ - 35}[/tex][tex]\text{ = (35)(1 + }0.14)^6\text{ - 35}[/tex][tex]\text{ = (35)(}1.14)^6\text{ - 35}[/tex][tex]\text{ = (35)(}2.19497262394)^{}\text{ - 35}[/tex][tex]\text{ = 76.82404183776 - 35}[/tex][tex]\text{ = 41.82404183776 }\approx\text{ 41.82}[/tex][tex]\text{ Interest Earned = \$41.82}[/tex]

Therefore, the interest he will be earning is $41.82

9) Find the slope of the line that passes through these two points. (0.3) and (4, -2)

Answers

To find the slope of the line that passes through points (0, 3) and (4, -2), we can use the formula for the slope of a line:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have then:

(0, 3) ---> x1 = 0, y1 = 3

(4, -2) --->x2 = 4, y2 = -2

Therefore:

[tex]m=\frac{-2-3}{4-0}\Rightarrow m=\frac{-5}{4}\Rightarrow m=-\frac{5}{4}[/tex]

Then, the slope of the line that passes through points (0, 3) and (4, -2) is m = -5/4.

If a cell disruptor is purchased with a frequency of 60Hz, what is the wavelength traveling through human tissue? (1540 m/s).

Answers

The wavelength traveling through human tissue when the velocity is 1540 m/s and frequency is 60Hz will be 25.67 m.

According to the question,

We have the following information:

Frequency of a cell disruptor = 60 Hz

Velocity of the cell disruptor = 1540 m/s

We know that the following formula is used to find the wavelength:

Wavelength = Velocity/frequency

Wavelength = 1540/60 m

(Note that when velocity is given m/s and frequency is given in Hz then the unit of wavelength is m. Every physical quantity has to be expressed with its units.)

Wavelength = 25.67 m

Hence, the wavelength traveling through human tissue is 25.67 m.

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What’s eight less than four times a number in algebraic expression

Answers

Answer:

4x - 8, 4x just means four of x, and eight less means to subtract 8.

Step-by-step explanation:

Answer:

The answer is 4x - 8 and it equals -32

Which choice is equivalent to the quotient shown here for acceptablevalues of x?25(x - 1) = 5(x - 1)?A.5(x - 1)B. 125(x - 1)C. V25(x - 1) -5(x - 1)?D. V5(x - 1)SUBMIT

Answers

Given the expression:

[tex]\sqrt[]{28(x-1)}\div\sqrt[]{8x^2}[/tex]

[tex]\frac{\sqrt[]{28(x-1)}}{\sqrt[]{8x^2}}[/tex]

Let's determine the inequality that represents all the values of x.

Here, we are to find the domain.

Let's solve for x.

Set the radicand in the numerator and denominator to be greater or equal to zero.

We have:

[tex]\frac{28(x-1)\ge0}{8x^2\ge0}[/tex]

For the numerator, we have:

[tex]\begin{gathered} 28(x-1)\ge0 \\ \text{Divide both sides by 28:} \\ \frac{28(x-1)}{28}\ge\frac{0}{28} \\ \\ x-1\ge0 \\ \text{Add 1 to both sides:} \\ x-1+1\ge0+1 \\ x\ge1 \end{gathered}[/tex]

For the denominator, we have:

[tex]\begin{gathered} 8x\ge0 \\ x\ge\frac{0}{8} \\ x\ge0 \end{gathered}[/tex]

Therefore, the possible x-values for which the quotient is defined is all positive integers greater or equal to 1.

Thus, we have:

[tex]x\ge1[/tex]

ANSWER:

[tex]C.x\ge1[/tex]

find the length of the gray arc in terms of pi

Answers

Given

a: angle

a = 60

r: radius

r = 3

Procedure

The length of an arc depends on the radius of a circle and the central angle θ

[tex]\begin{gathered} s=\theta r \\ s=\frac{1}{3}\pi\cdot3 \\ s=\pi \end{gathered}[/tex]

The answer would be s = pi

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Answers

43524

[tex]\frac{d32423657565\mod{43242}}{dx}_{564564}[/tex]

4tet

54

the figure below has a point marked with a large. First translate to figure 4 units up then give the coordinates of the mark point in the original figure in the final figure.:

Answers

Large point coordinates (original)= (1,-4)

To obtain the coordinates of the new point, add 4 to the y coordinate.

(1,-4+4) = (1,0)

Use log, 20.356, log, 3 0.503, and log, 5 0.835 to approximate the value of the given logarithm to 3 decimal places. Assume that b>0 and b + 1.
log, 625
X
A

Answers

Answer:

3.34

Step-by-step explanation:

625 is 5^4

Using the log rule [tex]log_b(x^a)=alog_b(x)[/tex],

log_b(5^4) = 4*log_b(5)

4*0.835 = 3.34

Find the distance between the (3,3) and (10,3) coordinates and write the result in the empty box. plsss helppppppppppp​

Answers

Answer: 7

Step-by-step explanation:

Distance (d) = √(10 - 3)2 + (3 - 3)2

=√(7)2 + (0)2

=√49

=7

Consider the equation cos(2t) = 0.8. Find the smallest positive solution in radians and round your answer to 2 decimal places.

Answers

Given:

cos(2t) = 0.8

Take the cos⁻' of both-side of the equation.

cos⁻' cos(2t) = cos⁻'(0.8)

2t = cos⁻'(0.8)

Calculate the value of the right- hand side with your calculator in radians.

2t =0.6435

Divide both-side of the equation by 2

t ≈ 0.32

Determine whether point (4, -3) lies on the line with equation y = -2x + 5 by using substitution and by graphing.

Answers

The equation of the line is:

[tex]y=-2x+5[/tex]

And we need to find if the point (4,-3) lies on the line.

To solve by using substitution, we need to remember that an ordered pair always has the form (x, y) --> the first number is the x-value, and the second number is the y-value.

In this case (4,-3):

x=4

and

y=-3

So now, we substitute the x value into the equation, and if the y-value we get in return is -3 --> the point lies on the line. If not, the point does not lie on the line.

[tex]\begin{gathered} y=-2x+5 \\ \text{Substituting x=4} \\ y=-2(4)+5 \\ y=-8+5 \\ y=-3 \end{gathered}[/tex]

We do get -3 as the y-value which matches with the indicated y value of the point.

Thus, by substitution, we confirm that the point lies on the line.

To check the result by graphing, we need to graph the line. The graph of the line is shown in the following image:

In the image, we can see that the marked point on the line is the point we were looking for (4,-3). So we confirm by the graphing method that the point lies on the line.

Answer: It is confirmed by substitution and graphing that the point (4,-3) lies on the line.

Please help with #4. The directions are with the pic below.

Answers

sphere: 12 pounds

cylinder: 108 pounds

Explanation:

Data:

. From balance A:

3 cubes + 1 sphere = 1 cylinder + 2 spheres

. From balance B:

3 cubes = 5 spheres

Since 1 cube = 20 pounds

=> From balance B:

3 cubes * 20 pounds = 5 spheres

60 pounds = 5 sphere

60 / 5 = 5 / 5

12 pounds = 1 sphere

=> From balance A:

3 cubes + 1 sphere = 1 cylinder + 2 spheres

3 spheres * 20 pounds + 1 sphere * 12 pounds = 1 cylinder + 2 spheres * 12 pounds

120 pounds + 12 pounds = 1 cylinder + 24 pounds

132 pounds = 1 cylinder + 24 pounds

132 pounds - 24 pounds = 1 cylinder + 24 pounds - 24 pounds

108 pounds = 1 cylinder

What is the reference angle for 289°? A. 71° B. 19° C. 11° D. 89°

Answers

Given:

Angle θ=289°.

For angles from 270° to 360°, the reference angle can be calculated by subtracting the given angle from 360° .

The reference angle of θ can be calculated as:

[tex]\begin{gathered} 360\degree-\theta=360\degree-289\degree \\ =71\degree \end{gathered}[/tex]

Therefore, reference angle of 289° is 71°.

What is the slope of a line that is perpendicular to the line whose equation is 2x−y=7?A. −1/2B. 3/2C. −3/2D. 1/2

Answers

We have the following line:

[tex]\begin{gathered} 2x-y=7 \\ y=2x-7 \end{gathered}[/tex]

and we must determine the slope of its perpendicular line.

Slopes of two perpendicular lines, m1 and m2, have the following property:

[tex]m_1\cdot m_2=-1[/tex]

Given the slope of the first line (the coefficient that multiplies the x):

[tex]m_1=2[/tex]

and using the formula above for the slope of its perpendicular line, we get:

[tex]\begin{gathered} m_1\cdot m_2=-1 \\ m_2=-\frac{1}{m_1} \\ m_2=-\frac{1}{2} \end{gathered}[/tex]

Answer

A. −1/2

A If y = x + 2 and y = -2x + 8, what do you know about x + 2 and -2x + 8?

Answers

If y = x + 2 and y = -2x + 8, what do you know about x + 2 and -2x + 8?​

we have

y=x+2

y=-2x+8

Solve the system of equations

equate both equations

x+2=-2x+8

x+2x=8-2

3x=6

x=2

Find the value of y

y=(2)+2

y=4

the solution is (2,4)

that means

(2,4) is a common point , that satisfy both equations

Please help me come you just tell me the answer I don’t really need you to explain

Answers

Given:

[tex]\begin{gathered} \angle JKL=65 \\ \angle KJL=50 \end{gathered}[/tex]

Sum of the angle of any triangle is 180

So:

[tex]\begin{gathered} \angle JKL+\angle KJL+\angle KLJ=180 \\ 65+50+\angle KLJ=180 \\ \angle KLJ=180-(65+50) \\ \angle KLJ=180-115 \\ \angle KLJ=65 \end{gathered}[/tex]

Then two sides are also equal.

[tex]\begin{gathered} 3x-2=x+10 \\ 3x-x=10+2 \\ 2x=12 \\ x=\frac{12}{2} \\ x=6 \end{gathered}[/tex]

So the value of x is 6.

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS!!!!!!!!

Answers

Answer:

Option 2

Step-by-step explanation:

hope this helps

can someone please help me find the value of x?

Answers

Since we have a right triangle, we can relate the angle 28 with x and side 34 by meand of the sine function, that is,

[tex]\sin 28=\frac{34}{x}[/tex]

where x is the hypotenuse. By moving x to the left hand side, we have

[tex]x\cdot\sin 28=34[/tex]

and by moving sin28 to the right hand side, we get

[tex]x=\frac{34}{\sin 28}[/tex]

since sin28=0.4694, we have

[tex]x=\frac{34}{0.4694}[/tex]

then, x is given by

[tex]x=72.42[/tex]

by rounding down, the answer is option D: x=72.4

A focus group of 12 people is to be chosen randomly from among 24 right-handed people and 5 left-handed people. In order to find the probability that 3 of the people chosen are right-handed, you should use

Answers

Let 1 and 2 mean that a person is right-handed or left-handed, respectively.

Consider the probability space as the different groups of 12 people that can be formed with the 29 total people. {(1,1,1,1,1,...1),(2,1,1,1,1,...,1),...}

We need to use the binomial distribution in order to find the answer.

Consider X to be the number of right-handed people in the group.

The probability of X=3 is then:

[tex]Pr(X=3)=\text{ binomial coefficien(}12,3\text{)}(\frac{24}{29})^3(1-\frac{24}{29})^{12-3}[/tex]

We used the formula

[tex]\begin{gathered} Pr(X=k)=\text{ binomial coefficient(n,k)}\cdot p^k(1-p)^{n-k} \\ \text{where } \\ k=3 \\ n=12 \\ p=\frac{24}{29} \end{gathered}[/tex]

Finally, we need to simplify the expression, as shown below

[tex]\Rightarrow P(X=3)=220(\frac{24}{29})^3(\frac{5}{29})^9=0.0000167[/tex]

This is the answer one obtains using the binomial distribution; nevertheless, the actual probability is equal to zero because it is not possible to form a group of 12 people that only contains 3 right-handed people as there are only 5 left-handed people (3+5=8).

Factor 12x² + 19x - 21.O (6x + 7)(2x − 3)—O (4x - 3)(3x + 7)O(6x-7)(2x + 3)(4x + 3)(3x7)

Answers

given the expression

[tex]12x^2+19x-21[/tex]

we are loking 2 numbers whose multiplication is equal to 12

and other 2 number whose multiplication is equal to 21

the sum of the cross multiplication is equal of 19, as follows

[tex](4x*3x)+((4x*7)+(3x*-3))+(-3*7)[/tex]

factor is

[tex]\left(4x-3\right)\left(3x+7\right)[/tex]

correct answer option B

Perform the following matrix row operation and write the new one.

Answers

Given: A matrix

[tex]\begin{bmatrix}{1} & {-3} & {2} \\ {3} & {9} & {5} \\ {} & & {}\end{bmatrix}[/tex]

Required: To perform the following matrix row operation

[tex]-3R_1+R_2[/tex]

Explanation: The operation is to be applied on the first row of the given matrix. Hence the second row will be same as that of the initial matrix.

The elements of the first row are first multiplied by 3 and then added with second row to give the required matrix.

Hence,

[tex]\begin{bmatrix}{-3+3} & {9+9} & {-6+5} \\ {3} & {9} & {5} \\ {} & {} & {}\end{bmatrix}[/tex]

which gives

[tex]\begin{bmatrix}{0} & {18} & {-1} \\ {3} & {9} & {5} \\ {} & {} & {}\end{bmatrix}[/tex]

Final Answer: The required matrix is

[tex]\begin{bmatrix}{0} & {18} & {-1} \\ {3} & {9} & {5} \\ {} & {} & {}\end{bmatrix}[/tex]

Jamal buys a water heater online for $861. If shipping and handling area additional 11% of the price, how many shipping and handling will Jamal pay?

Answers

[tex]\begin{gathered} 11\text{ \%of 861 is,} \\ \Rightarrow\frac{11}{100}\times861=94.71\text{ \$} \\ Amount\text{ pay by jamal is,} \\ \Rightarrow861+94.71=1055.71\text{ \$} \end{gathered}[/tex]

Simplify the expression -3n-8-7n + 17

Answers

We simplify by combining like terms

therefore

[tex]\begin{gathered} -3n-8-7n+17 \\ =-3n-7n-8+17 \\ =-10n+9 \end{gathered}[/tex]

Slope The first two sets of points are 9,-24 and 13,-21

Answers

We need to find the slope using the points (9, -24) and (13 , -21)

so, the slope = 3/4

I'm trying to simplify negative 5/8 divided by negative 3/4 how do I do that?

Answers

[tex]\begin{gathered} \frac{\frac{-5}{8}}{\frac{-3}{4}}=\frac{-5}{8}\times\frac{4}{-3} \\ \Rightarrow\frac{-5}{2}\times\frac{1}{-3} \\ \Rightarrow\frac{5}{6}=0.834 \end{gathered}[/tex]

Tyrone's car can travel about 30 miles for each gallon
of gas.
Using d for distance traveled in miles and g for
gallons of gas, write two different equations relating d
and g.

Answers

The equation can be written as d=30g

What is an equation?

An equation can be compared to a scale on which objects are weighed. When the two pans are filled with the same amount of anything (like grain), the scale will balance and the weights will be considered equal. To maintain the scale in balance, if any grain is taken out of one of the balance's pans, an equal amount must be taken out of the other pan. More broadly, if the identical operation is carried out on both sides of an equation, the equation remains in balance. Equations are used to describe geometric shapes in Cartesian geometry. The goal has changed since the equations under consideration, such as implicit equations or parametric equations, contain an unlimited number of solutions.

Tyrone's car can travel about 30 miles for each gallon

So, the equation can be written as d=30g, where d is distance travelled and g is gallons of gas used.

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I need help with part b, c ii, and d

Answers

Recall that:

[tex]\text{average speed=}\frac{total\text{ distance}}{total\text{ time}}.[/tex]

(b) Since Marcos traveled for 2 hours and 17 minutes a distance of 155 miles, then Marco's average speed for the 155 miles trip is:

[tex]\frac{155mi}{(2+\frac{17}{60})h}=\frac{155mi}{\frac{137}{60}h}=\frac{9300}{137}miles\text{ per hour}\approx67.89miles\text{ per hour.}[/tex]

(c ii) Since Devon also traveled the 155 miles in 2hours and 17 minutes but at a constant speed, then the constant speed at which he traveled is equal to his average speed, which is equal to:

[tex]\frac{155mi}{(2+\frac{17}{60})h}=\frac{155mi}{\frac{137}{60}h}=\frac{9300}{137}miles\text{ per hour}\approx67.89miles\text{ per hour.}[/tex]

(d) Marco needs to drive 2 miles in 5 minutes to be able to complete the 155 miles trip in 2 hours and 17 minutes, then he must drive at a constant speed of:

[tex]\frac{2mi}{5\min }=\frac{2mi}{\frac{5}{60}h}=\frac{120mi}{5h}=24\text{miles per hour.}[/tex]

Answer:

(b) 67.89 miles per hour.

(c ii) 67.89 miles per hour.

(d) 24 miles per hour.

Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you'll find out. Consider AABC, whose vertices are A (2,1), B (3, 3), and C (1,6) ; let AC represent the base of the triangle. Part A Find the equation of the line passing through B and perpendicular to AC.

Answers

Answer: y = x/5 + 12/5

Explanation:

The first step is to find the equation of line AC

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept.

The formula for calculating slope of a line is expressed as

m = (y2 - y1)/(x2 - x1)

Considering line AC with points, A(2, 1) and C(1, 6),

x1 = 2, y1 = 1

x2 = 1, y2 = 6

m = (6 - 1)/(1 - 2) = 5/- 1 = - 5

Recall, if two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. Negative reciprocal of - 5 is 1/5

Thus, slope of the perpendicular line passing through B(3, 3) is m = 1/5

We would find the y intercept, c of the line by substituting m = 1/5, x = 3 and y = 3 into the slope intercept equation. We have

3 = 1/5 * 3 + c

3 = 3/5 + c

c = 3 - 3/5

c = 12/5

By substituting m = 1/5 and c = 12/5 into the slope intercept equation, the equation of the line is

y = x/5 + 12/5

identify the rate, base and portion.What percent of 126 is 44.1

Answers

In this problem, we have that

Base=126 (represents the 100%)

Portion=44.1

Find out the percentage

100/126=x/44.1

solve for x

x=(100/126)*44.1

x=35%

The percentage is 35%

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