Joan walked 23 1/4 miles in a week. Her sister walked 69 3/4 miles during the same week.
How many times farther did Joan’s sister walk than Joan?

[tex]Domain:\\\\x-5\geq0\to x\geq5\\\\\sqrt{x-5}+7=11\ \ \ \ \ |-7\\\\\sqrt{x-5}=4\ \ \ \ \ |^2\\\\(\sqrt{x-5})^2=4^2\to x-5=16\ \ \ \ \ |+5\\\\\boxed{x=21}\in D\\\\[/tex]

We have the following equation:

[tex]\sqrt{x-5} +7=11[/tex]

To solve this, we first need to subtract the 7 on both sides of the equation.

[tex]\sqrt{x-5} +7-7=11-7[/tex]

The equation then becomes:

[tex]\sqrt{x-5} =4[/tex]

Now we must square both sides of the equation to get rid of the radical/square root symbol.

[tex](\sqrt{x-5})^2 =(4)^2[/tex]

Now we have a normal one step equation.

[tex]x-5=16[/tex]

Add 5 on both sides to find x.

[tex]x-5+5=16+5[/tex]

x=21

To see if this solution is true, we must substitute 21 back into the original equation.

[tex]\sqrt{21-5} +7=11[/tex]

[tex]\sqrt{16} +7=11[/tex]

[tex]4+7=11[/tex]

11=11

Therefore, the solution is true.

Answer:

your answer is 12

Step-by-step explanation:

5+3=8

8 x 5 / 2 - 8

5 x 8=40

40 / 2 - 8

40 / 2=20

20 - 8=12

The equation of line will be;

⇒ y = 5x - 3

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The perpendicular line is,

y = -1/5x - 3

And, The point contain by the line = (1 , 2)

Now,

We need to find the slope of line.

Since, Product of slopes of perpendicular lines are - 1.

So, we find the slope of perpendicular line as;

y = -1/5x - 3

dy/dx = -1/5

So, The slope of the line = - (1/-1/5) = 5

Hence, The equation of line passing through the points (1, 2) and with slope 5 is defined as;

y - y₁ = m (x - x₁)

y - 2 = 5 (x - 1)

y - 2 = 5x - 5

y = 5x - 5 + 2

y = 5x - 3

Thus, The equation of line will be;

⇒ y = 5x - 3

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(8,15) is the answer

f(a) = –2a2 – 5a + 4

f(–3)

Replace a with -3:

-2(-3)^2 -5(-3) +4=

-2(9) +15 +4 =

-18 + 19 = 1

AB=BC=CD together with the fact the horizontal lines are parallel implies that HG=GF=FE (can be proved using triangle similarity).  So knowing FE=5.1 implies FG=5.1

Since we now know that the horizontal lines are equidistant, it means that ML=LK=KJ (same argument as above). Therefore KL=7.6.

Let me know if you have questions!

Since the horizontal lines are parallel, and AB=BC=CD, the lengths of KL and FG are: D. KL = 7.6; FG = 5.1.

In Mathematics and Euclidean Geometry, parallel lines are two lines that are always the same distance apart and never meet.

This ultimately implies that, parallel lines are always coplanar lines and straight lines that have an equal distance between each other.

By critically observing the figure, we can logically deduce that the horizontal lines are all parallel to each other with two transversals;

AB = BC = CD (Given)

AB = LM = 7.6

BC = KL = 7.6

CD = JK = 7.6

AB = GH = 5.1

BC = FG = 5.1

CD = EF = 5.1

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20$ of interest 100 divided by 5= 20$$$$

Answer:

6 cm

Step-by-step explanation:

Given: D is the midpoint of the segment AC and C is the midpoint of segment AB.

To Find: length of the segment BC , if AD = 3 cm.

Solution:

In line Segment AC,

D is the midpoint of Segment AC

therefore,

[tex]\text{AC}=2\text{AD}[/tex]

In line segment AB,

C is the midpoint of AB,

Therefore,

[tex]\text{BC}=\text{AC}[/tex]

putting the value of AD,

[tex]\text{AC}=2\times\text{AD}[/tex]

[tex]\text{AC}=2\times3[/tex]

[tex]\text{AC}=6[/tex] [tex]\text{cm}[/tex]

as,

[tex]\text{BC}=\text{AC}[/tex]

Length of segment BC is [tex]6[/tex] [tex]\text{cm}[/tex]

The length of segment BC is 6 cm.

The given parameters;

To find:

A sketch of the given problem is presented below;

A-----------------D--------------------C---------------------------------B

From this sketch above the length of segment BC is calculated as follows;

length AC =  length BC

AD is half of AC = 3cm

AC = 2 x 3cm = 6cm

Since AC = BC, BC = 6 cm

Thus, the length of segment BC is 6 cm.

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translate each statement into mathematical language

length is nine inches less than twice width.    L = 2W - 9

perimeter is 84 inches                                   2L +2W = 84

Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing

2(2W-9) + 2W = 84

4W - 18 + 2W = 84

(4W+2W) = 84+18  

6W =  102

W = 102/6 = 51/3

L = 2(51/3) - 9

= L= 17-9

L=6

Answer:

X= -2

Step-by-step explanation:

I'm sorry if my addition signs looks like division signs

5X + 2 ( X - 4 ) = 5X + X - 10

5X + 2X - 8 = 5X + X - 10

7X - 8 = 6X - 10

add 8 on both sides

7X = 6X - 2

subtract 6X on both sides

X= -2

Answer:

-2

Step-by-step explanation:

I took the test and got it wright.

factor out the five

5(x^2+5)   D

a. scarcity

hope this helps! :3

Buehlermaci,

The answer is option A "scarcity." It's not option B because economics is the distribution or a production of a item. It's not option C because opportunity cost is when you are looking at the value of two things before you make a decision on which you want kinda like pros and cons. Scarcity is the shortage on a resource but the person decides to spend it on wants and needs so basically the difference between limited resources and wants and needs.

Hope this helps!

Final answer:

The four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).

Explanation:

The equation of the line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 0.2 and the y-intercept is 0.3. To find four points on the line, we can choose any x-values and substitute them into the equation to find the corresponding y-values.

For example, let's choose x = 0, 1, 2, and 3:

When x = 0, y = 0.3

When x = 1, y = 0.5

When x = 2, y = 0.7

When x = 3, y = 0.9

So, the four points on the line with a slope of 0.2 and y-intercept of 0.3 are (0, 0.3), (1, 0.5), (2, 0.7), and (3, 0.9).

Answer:

12/40

Step-by-step explanation:

There are 12/52 white horses.

there are 40/52 black horses.

ps.

There is no such thing as a white horse, only gray lol.

It's not zero. Zero can only be produced in adding or subtracting when two equal numbers with opposite signs are added or subtracted. -4 + 4 would give 0.  Really tricky things like - 5 - (- 5) would be 0 because the 2 minus signs would give a plus.

-5 + 5 = 0

It's not positive either. Think money. If you owe someone 5 dollars and you put another 6 dollars on a credit card, your net worth isn't going up into the positive. It going down further into the negative. You wouldn't be alone. The US government does this every day. -5 - 6 = - 11

So  - 1/3 - 4/5 is  negative.

The answer is (though you haven't asked for it)

- 5/15 - 12/15 = - 17/15

[tex]7t=x\\\\t=\dfrac{x}{7}[/tex]

i think it is 8/15 of the pizza

Find common denominators. Multiply 5 to numerator and denominator of 1/3, and 3 to the numerator and denominator of 1/5

(1/3)(5/5) = 5/15

(1/5)(3/3) = 3/15

Add

5/15 + 3/15 = 8/15

Ruby and Angie ate 8/15 of the pizza.

hope this helps

1/2 x 2/3 x 3/4 = 1/4

(Sorry, I did the math wrong. I meant 1/4)

[tex]\frac{1}{2}[/tex] x [tex]\frac{2}{3}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]

Hope this helps you

-AaronWiseIsBae

Answer:

This system has no solution.

Step-by-step explanation:

The equation y=2x+3 has already been solved for y, so we can substitute (2x+3) for y in the other equation, 2x - y = 7:  2x - (2x + 3) = 7.  But note that simplifying this last result turns out -3 = 7, which is of course impossible.  Thus, this equation has no solution.

Answer:

C: No solution

Step-by-step explanation:

I got it right on Edge

Well if you divide 30 by 10 then multiply by 4 you get 12 minutes.

Do the same for 45,

45 divided by 10 = 4.5 then multiply by 4 =  18

The number of miles the train will travel at the same speed is 18 miles

From the question,

We are to determine the number of miles the train travel in 12 minutes

From the question

It takes an express train 30 minutes to travel 45 miles

First, we will determine the speed

From the formula

[tex]Speed = \frac{Distance}{Time}[/tex]

Distance = 45 miles

Time = 30 minutes

∴ [tex]Speed = \frac{45}{30}[/tex]

Speed = 1.5 miles/mins

Now,

For the number of miles the train travel in 12 minutes

Time = 12 minutes

Using the formula

Distance = Speed × Time

∴ Distance = 1.5 × 12

Distance = 18 miles

Hence, the number of miles the train will travel at the same speed is 18 miles

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Personal finance skills are an individual's way of financing his or her accounts keeping in mind the most significant aspects like -money, property and investment. These skills improve an individual's quality of life.

Hence, a person who does not know these skills gradually result in the following -

1. higher tax rates -  A person without personal finance skills will not be able to save his taxes. He does not know about various investment options that can save his tax.

2. less preparation for emergencies - A person lacking these skills will not timely manage his accounts and if an emergency occurs, he might not have money to surpass that emergency.

3. increased long-term challenges - A person who does not invest timely and in the right things can end up not earning any money from these investments. Hence, he will not be prepared for further challenges that will come once he ages. He cannot have enough money by the time he retires.

Have a nice day :)

Answer:

The unit rate for the price to the length of the fabric will be $8 per meter.

Step-by-step explanation:

The two points on the graph of the line are:  (1, 8) and (3, 24)

For finding the unit rate for the price to the length of the fabric, we just need to find the slope of that line.

Formula for finding the slope is:  [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] , where [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] are two given points.

Here,  [tex](x_{1}, y_{1})=(1,8)[/tex] and [tex](x_{2}, y_{2})=(3, 24)[/tex]

So, the slope of the line will be:  [tex]m= \frac{24-8}{3-1}= \frac{16}{2}= 8[/tex]

Thus, the unit rate for the price to the length of the fabric will be $8 per meter.

The unit rate for the price to the length of the fabric is $8/m

from the question, we have the following parameters that can be used in our computation:

The graph

The unit rate is calculated as

Unit rate = Change in y/x

using the above as a guide, we have the following:

Unit rate = (24 - 8)/(3 - 1)

Evaluate

Unit rate = 8

Hence, the unit rate is $8/m

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your answer would be a

y+5≥4

use this site next time

Answer:

49 seconds.

Step-by-step explanation:

We have been given that an elevator ascends at a rate of 29.6 feet per second. A building is 1,450 feet tall. We are asked to find the time it will take for the elevator to travel from the ground floor to the roof.

To find the time taken by elevator to reach the top of the building, we will use rate formula.

[tex]\text{Time}=\frac{\text{Distance}}{\text{Rate}}[/tex]

[tex]\text{Time}=\frac{\text{1450 ft}}{\frac{\text{29.6 feet}}{\text{second}}}[/tex]

[tex]\text{Time}=\frac{\text{1450 ft}}{\text{29.6 feet}}\times\text{second}[/tex]

[tex]\text{Time}=48.986486\times\text{second}[/tex]

[tex]\text{Time}\approx 49\text{ seconds}[/tex]

Therefore, it will take approximately 49 seconds for the elevator to travel from the ground floor to the roof.

Answer:

w = -1

Step-by-step explanation:

Isolate the w. Note the equal sign. What you do to one side, you do to the other.

Add 2 to both sides

w - 2 (+2) = -3 (+2)

w = -3 + 2

Simplify

w = -1

3. w = -1 is your answer

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~Rise Above the Ordinary, Senpai