John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."

Answers

Answer 1

Answer:

Let the no of quarters be x

According to given,

x + (x+4) + (x+4)/2 = 6

x + (x+4) + (x + 8)/2 = 6

x + x + 4 + (x + 8)/2 = 6

[2 (2x + 4) + (x + 2)]/2 = 6

4x + 8 + x + 2 = 6 × 2

5x + 10 = 12

5x = 12 - 10

5x = 2

x = 2/5

•°• x = 0.4

1 doller = 4 quarter

0.4 doller = p

p = 0.4 × 4 = 1.6

•°• There are 1.6 quarter.

Answer 2
Quarters be xNickels be x+4Dimes be 2(x+4)

ATQ

[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]

[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]

[tex]\\ \sf\longmapsto 4x+12=6[/tex]

[tex]\\ \sf\longmapsto 4x=-6[/tex]

[tex]\\ \sf\longmapsto x=-3/2[/tex]

[tex]\\ \sf\longmapsto x=|-1.5|[/tex]

[tex]\\ \sf\longmapsto x=1.5[/tex]


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(40 points)
Match each theorem with its description.
1.
If two angles form a pair of vertical angles, then they are congruent.
2.
The sum of the measures of the interior angles of a triangle is 180°.
3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent
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Answer: Did you get it or do you still need help (which ones do you need help with)

Step-by-step explanation:

Calculate the speed of a car that travels 50 km (kilometers) in 30 min (minutes). Question 1 options: 1. 6 km/min (kilometers per minute) 1. 6 miles/hour 1,500 km/min (kilometers per minute) 1,500 miles/hour.

Answers

The speed of this car is equal to 1.6 km/min.

Given the following data:

Distance = 50 kilometers.Time = 30 minutes.

To calculate the speed of this car:

Speed can be defined as the distance travelled by an object per unit time and it is usually measured in meter per seconds (m/s). Also, speed has magnitude but no direction and as such it is a scalar quantity.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Speed = \frac{50}{30}[/tex]

Speed = 1.6 km/min.

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Answer:

  (b)  increase the height so the slant height triples

Step-by-step explanation:

The lateral area is jointly proportional to the radius and the slant height of the cone. Increasing either one individually by a factor of 3 will triple the lateral area.

To triple the lateral area, you can ...

  increase the height so the slant height triples

Find the product (3a- 4a)^2

Answers

I’m not sure but i think it’s either -1a or -7a (depends if u do the exponent or what inside the brackets first)

a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?

Answers

Answer:

TICKET = $8.50POPCORN =$5.25

Total money did they spent :-

$8.50 + $5.25 = $13.75

Step-by-step explanation:

Hope this helps you !!

for example :

ticket = $5popcorn = $3

each person spends = $(5+3)

=$8

four people = 8 × 4 = $32

hope it helps...!!!

A pipe is leaking at the rate of 16 fluid ounces per minute. Use unit analysis to find out how many gallons the pipe is leaking per hour.

Answers

Answer:

The answer is 7.5 gallons per hour.

Step-by-step explanation:

16 fluid ounces multiplied by 60 minutes equals 960 fluid ounces

16 * 60 = 960

960 fluid ounces divided by 128 fluid ounces (which is 1 gallon) equals 7.5 gallons.

960 / 128 + 7.5

So the answer is 7.5 gallons per hour.

Hope this helps! :)

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Refer to the attachment.

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The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?

Answers

Answer:

23

Step-by-step explanation:

x + x + 1 + x + 2 + x + 3 + x + 4 = 110

5x + 10 = 110

x = 20

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20 + 3 = 23

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Answer:

Step-by-step explanation:

Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables

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Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0. 625, 0. 5, nearly equal to 0. 583. The third column is labeled recorded with entries 0. 375, 0. 5, nearly equal to 0. 417. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which is the best description of the value 0. 375 in the table? Given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.

Answers

The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.

The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

Reasons:

The table is presented as follows;

[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]

Based on the given table, we have that the programs are categorized based on the intended audience.

Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.

Therefore, the correct option is;

Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.

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its a

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x=22, y=35

Step-by-step explanation:

since this is an isosceles triangle, 3x-11 = 2x+11. so x=22

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Ryan went for a drive in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. For how many hours did he drive?

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Answer: well you should take notes go review what your teacher has taught you and take notes then go back to that question and you should know hope this helps

Step-by-step explanation:

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Answer:

d. Right 5 and down 3

Step-by-step explanation:

If you have a given graph and then find that it is altered, the changes to the x (something added to or subtract from x) will be on the graph by translating (sliding) the graph left or right. Horizontal changes are probably the opposite of what they seem like they should be: x+_ moves the graph left and x-_ moves the graph right.

A number added on to the end of the equation will shift (translation, again) the graph up (a number added on) or down (a number subtracted). So in this case the x-5 moves the graph to the right 5 units and the - 3 at the end of the equation moves the graph down three units.

Felicia is a long-distance runner. She is able to run the first 2 hours of a training run at a certain rate. The rate at which she runs after her first 2 hours decreases for the remainder of her training run. On Monday, Felicia runs x hours, where x≥2. The average rate at which Felicia runs for the entire training run is represented by 13+6(x−2)x. What is the meaning of the parts of this rational expression in the context of the situation? Select from the drop-down menus to correctly complete each statement.

Answers

Answer:

 total distance of Felicia's training run

 first two hours  x  = 2....so we have

[ 13 + 6(2 - 2)  ]  / 2  =  13 / 2  =  distance / rate  =  = 6.5  mph ⇒  "c"

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 But  she ran  13 miles the first two hours

 So....she must run 12 miles the last two hours   ⇒   "c"

 

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Answers

Rearrange for x.

c-b=ax

x=(c-b)/a

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Answers

Answer:

t=y÷x+3

Step-by-step explanation:

you have to isolate t

(I may have put the equation in the wrong order but I'm like 70% sure i got it)

the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?

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Answer: do 2/3 of 62, or 2/3 x 62

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Step-by-step explanation:

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Answers

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(ii) 4.5×10^3
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(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5

Answers

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1​

Answers

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

Do you understand Geometry so far? What can help you improve learning Geometry?
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Answer:

My graph. I can practice that can help.

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Its the first equation, y < -1/3x +2

Need help with the answer it’s confusing

Answers

16±0.12

Step-by-step explanation:

%uncertainity=uncertainity÷measured value×100%

0.75×16=100x

x=12÷100

x=0.12

ANS;16±0.12

If total advertising expenditures on television advertising declined 4.1% to $141.7 billion in the current year, how much was spent on television advertising in the previous year? Round your answer to one decimal.

Answers

Using proportions, it is found that $147.8 billion was spent on television advertising in the previous year.

$x, in billions, was spent on advertising expenditures on television last year.This year, the amount declined 4.1%, hence it is 100% - 4.1% = 95.9% of last year's amount, that is, 0.959x.

This year spending's is of 141.7 billion, hence, the equation is:

[tex]0.959x = 141.7[/tex]

[tex]x = \frac{141.7}{0.959}[/tex]

[tex]x = 147.8[/tex]

$147.8 billion was spent on television advertising in the previous year.

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Evaluate the expression
-11^3
The value of the expression is

Answers

Answer: - 1331

Step-by-step explanation:

(-11)(-11)(-11)

(121)(-11)

- 1331

What is 2872+919=? It’s simple here
2872+919=3791
Was this helpful?

Answers

Answer:

3791

Step-by-step explanation:

Answer:

3791

Step-by-step explanation:

2872+919=3791

2872 + 919 = 3791

2872+919=3791

2872+919=3791

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