Chuin has 18 coins in his pocket. He has nickels and dimes that total $1.45. How many nickels and how many dimes does he have? Write and solve a system of equations to find the answer.

A. 10 Nickles, 8 dimes
B. 9 nickles, 9 dimes
C. 8 nickles, 10 dimes
D. 7 nickles, 11 dimes

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Let n represent the number of nickels and d represent the number of dimes Chuin has.

Since Chuin has a total of 18 coins in his pocket, the sum of the number of nickels and dimes must total 18. So:

[tex]n+d=18[/tex]

The total worth of the coins is $1.45. Since each nickel is worth $0.05 and each dime is worth $0.10:

[tex]0.05n+0.1d=1.45[/tex]

Solve the system. We can use elimination (you can use substitution if you prefer, it works just as perfect!). First, multiply both sides of the second equation by 10:

[tex]0.5n+d=14.5[/tex]

Next, we can multiply the first equation by negative one:

[tex]-n-d=-18[/tex]

Add the two equations together:

[tex](0.5n+d)+(-n-d)=(14.5)+(-18)[/tex]

Simplify:

[tex]-0.5n=-3.5[/tex]

Divide both sides by -0.5. So:

[tex]n=7[/tex]

Chuin has seven nickels.

Using the first equation again, substitute n for 7 and solve for d:

[tex](7)+d=18\Rightarrow d=11[/tex]

Therefore, Chuin has seven nickels and 11 dimes.

Our answer is D.

Answer 2
D, (7*5=35)+(11*10=110)=145

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Answer:

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Step-by-step explanation:

The experimental probability (and theoretical probability) of drawing a blue marble is the highest:

[tex]\checkmark\:\text{Blue: }\frac{16}{40},\\\text{Red: }\frac{14}{40},\\\text{Yellow: }\frac{10}{40},[/tex]

Blue

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Answer:

5

Step-by-step explanation:

Verticle angles are the angles opposite of each side.

Answer:

I think only 5

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Part D In her science class, Nadia needs to make a model showing the planets relative distance from the Sun. She wants to use centimeter grid paper to create her model. If 1 centimeter on the model represents 100,000,000 kilometers, write a proportion Nadia could use to create her model on the grid paper. Use the proportion to find the distance for each planet on the model. Then use a ruler and centimeter grid paper to draw a model similar to Nadia's.​

Answers

Answer:

Mars

Step-by-step explanation:

100,000,000 kilometers, write a proportion Nadia could use to create her model on the grid paper. Use the proportion to find the distance for each planet on the model.

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in a three digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. If the hundreds digit of the number is x, the equation will be? 20 Points to solve and brainliest.

Answers

Answer:

I am not sure, but I think 362 is the answer

Step-by-step explanation:

hundred digit:x

tens digit:2x

ones digit:x-1

x+2x+x-1=11

4x=12

x=3

number=362

362 is the answer because i learned this yesterday

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Answers

i think 4 & 5! Have a good day

Answer:

13, 14, 13, 4.6, 48

Step-by-step explanation:

these are the x-values I have but I don't know hot to solve for th code.

Trigonometry
Find AC in the diagram attached.

Answers

Answer:

2√2

Step-by-step explanation:

< C = 180-15-45 = 120°

AC/sin 45° = AB/sin 120°

AC = 2√3 × sin 45° / sin 120°

= 2√3 × ½√2 / ½√3

= 2√2

Answer:

2√2

Step-by-step explanation:

Is this a statistical question?

"What is the weight of a mouse?"

Answers

Answer:

yes that is a statistical question

Step-by-step explanation:

Name the following triangle:

A. equilateral and right
B. isosceles and obtuse
C. isosceles and acute
D. scalene and obtuse

Answers

Answer:

isosceles and obtuse

Step-by-step explanation:

We have 2 sides that are equal length - isosceles

We have an angle that is greater than 90 and less than 180 - obtuse

Answer:

B. Isosceles and Obtuse

Step-by-step explanation:

Two sides of the triangle have equal length, and one angle is more than 90 degrees.

Aha I'm failing so if you could help that would be great :D. Find the value of x in the triangle shown below.

Answers

Answer:

8

Step-by-step explanation:

p = ?

h = 10

b = 6

Now,

p2 = h2 - b2

p2 = ( 10)2 - (6)2

p2 = 100 - 36

p2 = 64

p = root under (64)

p = 8

X= 8, letter D and I hope it’s right

Joseph has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $440.12.
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Write and solve an inequality which can be used to determine oo, the number of outfits Joseph can purchase while staying within his budget.

Answers

Answer:

8 outfits with change

Step-by-step explanation:

if you add up the prices of the objects and divide it then you get 8.989

BRAINLIEST IF correct

Answers

Answer:

1.

25 of the 36 collars will be accepted. I just counted the numbers that were either "14" "15" or "16" because the company will only accept the collars that have 14-16 miligrams of medicine in them.

2. I expect the company to reject 11 of them because 25-36 = 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okayy, so we know that the domain for the flea collars (let's call them x for short) is:

[tex]14\leq x\leq 16[/tex]

So basically we can eliminate all of the numbers that don't fit the inequality

In this set of numbers we are looking to eliminate the 13's and the 17's

17, 14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16, 13, 13

13, 13, 13, 14, 14, 13, 17, 14, 15, 13, 14, 15, 16, 17, 14, 17, 14, 15

The bolded ones are the ones to eliminate, also that took way too long to type those :,)

Now here's what's left:

14, 14, 16, 14, 15, 15, 15, 16, 14, 16, 14, 15, 15, 15, 16

14, 14, 14, 15, 14, 15, 16, 14, 14, 15

Now we can answer the questions

A) What percent of collars would be acceptable?

To find this answer we must find the percent of collars that are left out of all of the collars we used to have

(I hope that makes somewhat sense)

To find this we need to know the number of collars we started with and the number of collars we have left

We started with 36

We have 25 left

25/36 is about

69.44 percent

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nExT qUeStIoN

B) How many collars

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Answers

Answer:

B

Step-by-step explanation:

y = -2x

The negative slope means it goes down from left to right ( we eliminate Choice a)

Y = mx+b  b is the y intercept

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That means the graph of the line is B

Answer:

B

Step-by-step explanation:

Because the equation is put in y = kx form the y intercept will be at the origin (0,0)

All graphs except B do not go through the origin

So b likely graphs y = -2x

HELP ME IM FAILING LOL Find the value of x in the triangle shown below.

Answers

Answer:

d

Step-by-step explanation:

because it's the exact value

answer: D

(equation: a^2 + b^2 = c^2)

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Convert 80 km/h to mi./min. Use the fact that 1 mi. ≈ 1.6 km.

Answers

Answer:

0.83 mi/min

Step-by-step explanation:

Start with 80 km/hr.  Convert this to the units miles/hr:

(80 km/hr)(1 mile/1.6 km) = 50 miles/hr

Next, apply the equality 60 min / 1 hr = 1 to 50 miles/hr:

50 miles.      1 hr

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     hr          60 min

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Answers

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

let the roaster be x

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chickens /rooster =chickens /rooster

10/2=25/x

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2*25=x*10

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50/10=x

5=x  therefore there are 5 roosters.

A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? Please Help Me!

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Answer:

too complex boy Soo hard

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Answers

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Step-by-step explanation:

Mixed number form:
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Answers

Step-by-step explanation:

write what you know

A = pi x r^2

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Annd plug and chug

Answer:

[tex]\boxed {\boxed {\sf a \approx 113.0 \ ft^2}}[/tex]

Step-by-step explanation:

The area of a circle is the space inside the shape. The formula is:

[tex]a= \pi r^2[/tex]

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Substitute the values into the formula.

[tex]a= (3.14) \times (6 \ ft)^2[/tex]

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[tex]a= (3.14) \times 36 \ ft^2[/tex]

Multiply.

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The area of the rectangular floor in Tamara's room is 95 5/6 square
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Answers

Answer: 11 1/2 ft

Step-by-step explanation:

We know that the equation for the area of a rectangle is:

length x width = area

All we have to do is fill it in with the numbers and solve:

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length = 95 5/6 ÷ 8 1/3

length = 23/2 = 11 1/2

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Hector gave 40% of his money and an additional $5 to Calista. He
gave 75% of his remaining money and an additional $6 to Koren,
The amount of money Hector had left in the end was $44 less than
the amount of money he gave to Karen. Find the amount of money
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Answers

$38 dollars is the answer

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Answers

Answer:

Sorrry i dont know

Step-by-step explanation:

John Hancock elevator is faster

This is because the John Hancock goes 1800 a minute, which is more than 1400 a minute.

If the John Hancock elevator goes 30 a second and there are 60 seconds in a minute, 30x60=1800.

The sum of the weights of Tom and Bill is 138 pounds and one boy is 34 pounds heavier than the other. How much does the heavier boy weigh?

Answers

Answer:

The heavier boy would weigh 86 pounds.

Step-by-step explanation:

Let's say boy=b, the equation would be:

2b+34=138

This is because the boys would weigh the same, with an exception of 34 pounds.

But we need to find just one person's weight. So bring 34 to the other side:

2b=138-34

Solve:

2b=104

Now, we need to find b:

b=52

So one boy would weigh 52, and the other would weigh 52+34, which is 86.

The heavier boy would weigh 86 pounds.

Happy learning!

--Applepi101

the answer would be 86 pounds

giving brainlist tobfastest and correct

Answers

Answer:

A is your answer

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What kind of angle is it??

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can i see it with the drop menus down
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A cone and cylinder have the same radius and the same volume. The cylinder has a height of 10m and a radius of 12m. Find the volume of the cylinder and the height of the cone.

Answers

Answer:

4523.89m

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Diagonals of a trapezoid intersect each other at point E, and the extensions of the legs of the trapezoid intersect each other at point F. Prove that line EF bisects the bases of the trapezoid.

PLEASE HELP, IT’S DUE TOMORROW. 50 POINTS AND BRAINLIEST.

Answers

Answer:

See Below.

Step-by-step explanation:

Let the intersection point above E be K, and let the intersection point below E be J.

Since ABCD is a trapezoid:

[tex]\displaystyle AB\parallel DC[/tex]

Therefore:

[tex]\displaystyle \angle AJF\cong \angle DKF[/tex]

And:

[tex]\displaystyle \angle DFJ\cong \angle DFJ[/tex]

So, by AA-Similarity:

[tex]\displaystyle \Delta DFK\sim \Delta AFJ[/tex]

CPSTP (Corresponding Parts of Similar Triangles are Proportional):

[tex]\displaystyle \frac{KD}{JA}=\frac{FK}{FJ}[/tex]

Likewise, do the same to the other side. Since AB is parallel to DC:

[tex]\displaystyle \angle BJF\cong CKF\text{ and } \angle CFJ\cong \angle CFJ[/tex]

Hence:

[tex]\Delta CFK\sim \Delta BFJ[/tex]

By CPSTP:

[tex]\displaystyle \frac{KC}{JB}=\frac{FK}{FJ}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

Since AB is parallel to DC:

[tex]\displaystyle \angle CDB\cong \angle ABD[/tex]

By vertical angles:

[tex]\angle DEK\cong BEJ[/tex]

Hence, by AA-Similarity:

[tex]\Delta DKE\sim \Delta BJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KD}{JB}=\frac{KE}{JE}[/tex]

Likewise:

[tex]\angle DCE\cong \angle BAC[/tex]

And by vertical angles:

[tex]\displaystyle \angle CEK\cong \angle AEJ[/tex]

Hence:

[tex]\Delta CKE\sim \Delta AJE[/tex]

CPSTP:

[tex]\displaystyle \frac{KC}{JA}=\frac{KE}{JE}[/tex]

Substitution:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

Now, we have obtained that:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JB}[/tex]

And:

[tex]\displaystyle \frac{KD}{JB}=\frac{KC}{JA}[/tex]

In the second proportion, multiply both sides by JA:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=KC[/tex]

In the first equation, multiply both sides by JB:

[tex]\displaystyle \frac{KD\cdot JB}{JA}=KC[/tex]

Substitute:

[tex]\displaystyle \frac{KD\cdot JA}{JB}=\frac{KD\cdot JB}{JA}[/tex]

Cross-multiply:

[tex]JB\cdot KD\cdot JB=JA \cdot KD\cdot JA[/tex]

Cancel out KD and simplify:

[tex]JB^2=JA^2[/tex]

Therefore:

[tex]JB=JA[/tex]

And using the first proportion again:

[tex]\displaystyle \frac{KD}{JA}=\frac{KC}{JA}\Rightarrow KD=KC[/tex]

Hence, EF bisects AB and DC, the bases of the trapezoid.

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