Can two cars be traveling the same speed but have difference velocities

-6 + 15w = 9w + 66

6w = 72

w = 12

Jessica, who reads at a speed of 3 pages per minute, can read 360 pages in 2 hours.

The subject of this question is mathematics, answered by a simple multiplication operation. Jessica loves to read and reads at a speed of 3 pages per minute. We know that there are 60 minutes in an hour, so in 2 hours, there are 2 * 60 = 120 minutes. Now, if Jessica reads 3 pages per minute, in 120 minutes, she would read 120 * 3 = 360 pages. Therefore, Jessica can read 360 pages in 2 hours at her reading speed.

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Answer:

6 and 7

Step-by-step explanation:

because 65/10 equals 6.5

Answer:

It lies between 6 and 7

Answer:

Step-by-step explanation:

The formula of a slope:

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

b - y-intercept → (0, b)

We have the points J(-4, -5) and K(-6, 3).

The points J, K and y-intercept A(0, b) are collinear. Therefore the slope of JA and KA are the same.

We have the equation:

[tex]\dfrac{b-(-5)}{0-(-4)}=\dfrac{b-3}{0-(-6)}\\\\\dfrac{b+5}{4}=\dfrac{b-3}{6}\qquad\text{cross multiply}\\\\6(b+5)=4(b-3)\qquad\text{use the distributive property}\\\\6b+30=4b-12\qquad\text{subtract 30 from both sides}\\\\6b=4b-42\qquad\text{subtract 4b from both sides}\\\\2b=-42\qquad\text{divide both sides by 2}\\\\b=-21[/tex]

10km+9hm+16adm+19m

I think your trying to question about combining the like terms?

The student is asked to add two sets of distances in various units. The sum of 3km 9hm 9dam 19m and 7km 7dam is converted to meters and added together, resulting in a total of 11 kilometers and 149 meters.

The question involves the addition of distances in different units, namely kilometers (km), hectometers (hm), decameters (dam), and meters (m). The student is asked to perform an addition of 3km 9hm 9dam 19m and 7km 7dam. To solve this, we must first convert all units to meters, add them up, and then convert back to the appropriate unit if necessary.

Step-by-step solution:

This results in a total distance of 11 kilometers and 149 meters.

Answer:

The graph attached

y ≤ 6 - x

x ≤ 4

Step-by-step explanation:

∵ x + y ≤ 6

∴ y ≤ 6 - x

* Lets draw the line y = 6 - x

* Assume that:

· x = -1 ⇒ y = 7 ⇒ (-1 , 7)

· x = 0 ⇒ y = 6 ⇒ (0 , 6)

· x = 1 ⇒ y = 5 ⇒ (1 , 5)

· x = 2 ⇒ y = 4 ⇒ (2 , 4)

* Plot the points on the graph and make the line sold ( ≤ )

* Shade all the region under the line

∵ x ≤ 4

* Lets draw the line x = 4

* All the points on this line have x-coordinate = 4 (vertical line)

* Draw a vertical line on x = 4 the line is sold (≤)

* Shade all the region left to the line

* The solutions of this system of equations will be on the

  common shaded

  parts of the two lines (red and blue together)

Answer:

Figure 4: Square

Figure 1: Parallelogram

Figure 2: Rectangle

Step-by-step explanation:

Question 1: If they're not similar it can't be the same shape but if they have the same corresponding angles it has to be either a rectangle or a square. It can't be a rectangle so it must be a square.

Question 2: Can't be similar so it can't be the same shape. The only two shapes with side lengths proportional are the parallelogram and the rectangle. It can't be the rectangle so it must be the parallelogram.

Question 3: If it's similar it has to be the same shape so the answer must be the rectangle.

Answer:

hope this helps

Step-by-step explanation:

pretty sure it’s B if it’s talking about her car loan and that isn’t including the money she borrowed. lmk if that’s right

It’s a heptagon, which has seven points.

Answer:

A Polygon that has 7 points would have to be a heptagon.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

20%x50=10

Final answer:

To find the number of left-handed players on the sports team, 20% of the 50 total players is calculated, which equals 10 left-handed players.

Explanation:

To calculate the number of left-handed players on a local sports team where 20% of the players are left-handed, you need to apply the percentage to the total number of players. If there are 50 players in total, you would calculate 20% of 50:

Convert the percentage to a decimal by dividing it by 100. So, 20% becomes 0.20.

Multiply this decimal by the total number of players to find the number of left-handed players: 0.20  imes 50 = 10.

Therefore, there are 10 left-handed players on the team.

Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =

[tex]\frac{24}{12}=2[/tex] hours

Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours

As given, the total distance is 24 + 24 = 48 km.

And the total time is 2 + 3 = 5 hrs.

Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]

The answer is 9.6 km/hour.

Answer:

V=18.75 or 18 3/4

Step-by-step explanation:

The formula for a rectangle prism is V=L×W×H

V=L×W×H

V= 3×2.5×2.5

V=18.75 or 18 3/4

a) second and last one : 32x - 24 and 8*4x - 8*3

b) first and third one : 22y and 7y + 15y

pls mark brainliest!!

Answer:

a. b,d / b. a,c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Look at the picture.

We know: the sum of the measures of the angles of the triangle is equal to 180 °.

Therefore

In ΔTQR we have the equation:

[tex]\alpha+\beta+130^o=180^o[/tex]         subtract 130° from both sides

[tex]\alpha+\beta=50^o[/tex]

In ΔPQR we have the equation:

[tex]2\alpha+2\beta+m\angle QPR=180^o[/tex]

[tex]2(\alpha+\beta)+m\angle QPR=180^o[/tex]

Substitute from the first equation

[tex]\alpha+\beta=50^o[/tex]

[tex]2(50^o)+m\angle QPR=180^o[/tex]

[tex]100^o+m\angle QPR=180^o[/tex]            subtract 100° from both sides

[tex]m\angle QPR=80^o[/tex]

Answer: April is correct.

Step-by-step explanation: According to the methods used in systems of equations, if we are to solve this system by setting up the equations

(3 = -2x + 1), we see that the solution is x = -1. If you substitute this x-value back into the original equation, y = -2x + 1, we get the answer y = 3 and thus, receiving the solution to the system (-1,3). Anthony is wrong because the graph includes an extra line at x = 3, throwing off his answers.  

Answer:

D

Step-by-step explanation:

We will use the radical property  [tex]\sqrt{a*b} =\sqrt{a} \sqrt{b}[/tex]  to simplify this.

The problem is  [tex]\sqrt{169*x^5}[/tex]

We can simplify this as:

[tex]\sqrt{169*x^5} \\=\sqrt{169} \sqrt{x^5}[/tex]

Now we can use the property of radicals,  [tex]\sqrt[n]{x^a} =x^{\frac{a}{n}}[/tex]  , to write as:

[tex]\sqrt{169} \sqrt{x^5} \\13*x^{\frac{5}{2}}[/tex]

D is right answer.

Answer:

d. [tex]13x^{\frac{5}{2}}[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt{169x^5}[/tex]

We can rewrite this as

[tex]\sqrt{169}\times \sqrt{x^5}[/tex]

We rewrite as a rational exponent to obtain;

[tex](13^2)^{\frac{1}{2}}\times (x^5)^{\frac{1}{2}}[/tex]

Recall that;

[tex](a^m)^n=a^{mn}[/tex]

[tex]13^{(2\times \frac{1}{2})}\times (x)^{5\times \frac{1}{2}}[/tex]

[tex]13^1 (x)^{\frac{5}{2}}[/tex]

The correct choice is D

[tex]13x^{\frac{5}{2}}[/tex]

Answer:  [tex]a)\quad f^{-1}(x)=\sqrt[3]{\dfrac{x+5}{3}}[/tex]

Step-by-step explanation:

Inverse is when you swap the x's and y's and solve for y. Note: f(x) is y

[tex]y=3x^3-5\\\\\text{Swap the x's and y's:}\\x=3y^3-5\\\\\text{Add 5 to both sides:}\\x+5=3y^3\\\\\text{Divide both sides by 3:}\\\dfrac{x+5}{3}=y^3\\\\\\\text{Take cubed root of both sides:}\\\sqrt[3]{\dfrac{x+5}{3}}=y[/tex]

Answer:

sin, cos, sec, csc  

Step-by-step explanation:

If the terminal side passes through (-1, -1), the angle θ = 225° and is in the third quadrant.

sinθ = opp/hyp = -/+  =  -

cosθ = adj/hyp  = -/+ =  -

tanθ = opp/adj  = -/-  = +

cotθ = adj/opp  = -/-  = +

secθ = 1/cosθ            =  -

cscθ = 1/sinθ             =  -

The functions that will be negative for the angle are sin, cos, sec, and csc.

Answer:

D

Step-by-step explanation:

The amount of plastic needed to cover the globe is the surface area of the globe. Since a globe is a sphere, the formula is SA = 4/3 πr³. Substitute r= 3 inches.

SA = 4/3 π(3)³ = 4/3 π * 27 = 36π

Answer:

[tex]\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}[/tex]

Step-by-step explanation:

The given polynomial function is

[tex]f(x)=5x^3-7x+11[/tex]

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

[tex]\pm\frac{11}{1}=\pm11[/tex]

[tex]\pm\frac{1}{1}=\pm1[/tex]

[tex]\pm\frac{11}{5}[/tex]

[tex]\pm\frac{1}{5}[/tex]

Answer:

f(x)= 2/3-3 is undefined.

Answer:

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

From the given figure it is clear that triangle LMN is a right angled triangle.

According to Pythagoras theorem: In a right angled triangle

[tex]hypotenuse^2=perpendicular^2+base^2[/tex]

In triangle LMN,

[tex]LN^2=LM^2+MN^2[/tex]

[tex](\sqrt{20})^2=x^2+(x-2)^2[/tex]

[tex]20=x^2+x^2-4x+4[/tex]

[tex]20=2x^2-4x+4[/tex]

Subtract 20 from both sides.

[tex]0=2x^2-4x+4-20[/tex]

[tex]0=2x^2-4x-16[/tex]

Taking out common factors.

[tex]0=2(x^2-2x-8)[/tex]

Splitting the middle term we get

[tex]0=2(x^2-4x+2x-8)[/tex]

[tex]0=2(x(x-4)+2(x-4))[/tex]

[tex]0=2(x-4)(x+2)[/tex]

Using zero product property we get

[tex]x-4=0\Rightarrow x=4[/tex]

[tex]x+2=0\Rightarrow x=-2[/tex]

The value of can not be negative because side of a triangle is always positive. So, the value of x is 4.

Therefore the correct option is B.

The converse of the statement, "If you are smiling, then you are happy" is Option(C) "If you are not smiling, then you are not happy".

The converse of a statement is formed by switching the hypothesis and the conclusion. Thus the converse of a true statement is always false and for conditional relation statement, "If true then yes". If there are two statement proposition p and q then the converse of the statements is denoted as p→q.

Original statement given "If you are smiling, then you are happy" .

Converse is just opposite of the given statement denoting the same meaning of the Hypothesis.

Thus we have the converse statement in Option (C),

"If you are not smiling, then you are not happy".

To learn more about converse statement , refer -

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Answer: 2625

Let’s say you multiply 5 giraffes by 75 pounds = 375lbs 5 giraffes eat a day multiply the 5 giraffes and they answer should be 2625lbs

the First one witch for me is six (6)

Answer: last option.

Step-by-step explanation:

According to the Product of powers property, you have:

[tex]a^n*a^m=a^{(n+m)}[/tex]

As you can see, when you can add the exponents when you have powers with equal base.

Then,  [tex]6^5[/tex]  and [tex]5^{-3}[/tex] do not have the same base, therefore, the exponents can't be added.

Therefore, Eli is incorrect, because he added the exponents even though the bases are not the same.

Answer:

d

Step-by-step explanation:

please mark brainliest

Answer:

(x+1)^2 + (y-6)^2 = 3^2

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

Substituting in the point (-1,6) and the radius 3

(x--1)^2 + (y-6)^2 = 3^2

(x+1)^2 + (y-6)^2 = 3^2

Answer: The graph is attached.

Step-by-step explanation:

1. Solve for y, as following:

[tex]10x+7y<49\\7y<-10x+49\\y<-\frac{10}{7}x+\frac{49}{7}\\\\y<-\frac{10}{7}x+7[/tex]

2. The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

3. In this case the equation of the line is:

[tex]y=-\frac{10}{7}x+7[/tex]

then:

[tex]m=-\frac{10}{7}\\\\b=7[/tex]

4. Find the x-intercept. Make y=0. Then:

[tex]0=-\frac{10}{7}x+7\\\frac{10}{7}x=7\\x=4.9[/tex]

5. Then, plot the line that passes through the points (0,7) and (4.9, 0).

6. The symbol of the inequality is < therefore, the line must be dashed and indicates that the region under the line must be shaded.

Then you obtain the graph attached.

Answer:

We need to graph the given inequality 10x + 7y < 49.

We can do that into 2 parts:

Part 1:

Graph the line 10x+7y=49

plug any number for x say x=0

10x+7y=49

10(0)+7y=49

0+7y=49

7y=49

y=49/7

y=7

hence it passes through point (0,7)

similarly plug y=0

10x+7(0)=49

10x=49

x=49/10

x=4.9

hence it passes through point (4.9,0)

Graph both points then join them by a straight dotted line because of < sign.

PART 2:

Shade the graph for inequality sign <

use any test point which is not on the given line say (0,0)

plug into original problem

10x + 7y < 49

10(0) + 7(0) < 49

0<49 is true

so shade in direction of test point

Hence final graph looks like:

Answer:

n E R

Step-by-step explanation:

Since 7n-8 is a linear equation with no restrictions, n's domain is real numbers.

Answer:

Step-by-step explanation:

with 1st term = -1. and common difference is 7

in this series we can say that 1st term is -1 , 2nd term is 6 , 3rd term is 13 , and so on

therefore in a series we cannot define a 0th term , so here n will be greater than or equal to 1.

Answer:

82 toys per day

Step-by-step explanation:

492 divided by 6 = 82 (toys)

6 divided by 6 = 1 (days)

492/6 = 82/1

Answer:

a

Step-by-step explanation:

Answer:

2016 apex approved

Step-by-step explanation:

Answer:

Dora must have planned to repay her debts no later than year 2016.

Step-by-step explanation:

When a person enters into a Chapter 13 bankruptcy case, he or she can reorganize his/her debts or unpaid mortgage or any other loan payment. This can be paid off between three to five years with five years being the maximum allotted time frame.

So, if Dora filed for chapter 13 bankruptcy in 2011, she must have planned to repay her debts no later than [tex]2011+5=2016[/tex]