Mathematics High School

Tommy has a collection of nickels and quarters and the total value of his collection is $4.90. He has a total of 42 coins in his collection. How many quarters does he have?

Answers

Answer 1

Answer:

14

Step-by-step explanation:

Given that:

Quarters, x = 25 cent

Nickel, y = 5 cent

Total number of coins = 42

Total worth = $4.90 = 490 cents

x + y = 42 - - (1)

25x + 5y = 490 - - - (2)

y = 42 - x

25x + 5(42 - x) = 490

25x + 210 - 5x = 490

20x = 280

x = 280 / 20

x = 14

x = quarters = 14

Related Questions

3+2=___

4+2=___

8-8=___

Answers

Answer:

1)5

2)6

3)0

Step-by-step explanation:i subtracted

3+2= 5
4+2=6
8-8=0
if u put up 3 fingers then put 2 more up you get 5
if u put up 4 fingers then put up 2 more u get 6
if u put up 8 fingers and take 8 away u have 0 fingers left

help find angle E please ​

Answers

Answer:

(9x+3)

Step-by-step explanation:

A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after 6 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

the area after 6 years is  3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is  3,473 km^2

Alfred has 21 boxes of pencils. He is dividing them equally among four students. How many boxes of pencils will each student receive? Write your answer as a decimal.

Answers

Answer:

5.25

Step-by-step explanation:

21/4 = 5.25

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What is the equation of the line that has a
slope of 5 and a y-intercept of -1?

Answers

Step-by-step explanation:

y= mx+b

where m is the slope , and b is the y intercept

y= 5x -1

Rich also has £400 pounds invest 3% compound interest . How many years does he need to invest the money to get at least £475

Answers

Answer: 6 years

Step-by-step explanation:

Formula to calculate compound amount: [tex]A=P(1+r)^t[/tex], where P= Principal , r=rate of interest, t= time

Given: P = £400, r = 3% = 0.03 , A= 475

Required equation: [tex]400(1+0.03)^t\geq475[/tex]

[tex]400(1.03)^t\geq475\\\\\Rightarrow\ (1.03)^t\geq\dfrac{475}{400}\\\\\Rightarrow\ (1.03)^t\geq1.1875[/tex]

Taking log on both sides , we get

[tex]t \log 1.03\geq\log1.1875\\\\\Rightarrow\ t(0.0128372)\geq(0.0746336)\\\\\Rightarrow\ t\geq\dfrac{0.0746336}{0.0128372}=5.81385\approx6[/tex]

Hence, he needs to invest the money for 6 years to get atleast £475.

parallelogram
b= 13 ft. 6 in.
h= 10 ft. 3 in.

Answers

Answer:

A=19,926in.

or

A=1660.5ft

Step-by-step explanation:

you convert the feet into inches which gives you a base of 162 inches and a height of 123 inches. Next you multiply your base and height and it gives you an Area of 19,926inches but then if you need to convert the inches back into feet by dividing 19,926 by 12. After you do that you should end up with an area of 1660.5 feet.

Help I’m stuck on this

Answers

Did you just say you were stuck step-sis?

Answer:

it is 6,000 diffrence

Step-by-step explanation:

Which expression is equivalent to 8(7m - 9p)?

Answers

Answer:

8(7m-9p) = 8(7m) - 8(9p)

= 56m - 72p

Let me know if this helps!

Answer:

56m-72p

Step-by-step explanation:

8(7m-9p) = 8*7p + 8*-9p = 56m-72p

If an inscribed angle measures 67°, how would you find the intercepted arc?

Multiply the angle measure by two.
Set the angle and arc measures equal.
Divide the angle measure by two.

Answers

Answer:

Multiply the angle measure by two.

Step-by-step explanation:

Answer:

you would multiple the angle and measure by two

7. Tyler works in a shoe store. Tyler earns a commission. He earns 3.5% of the amount he sells. Last
week, he sold $600 worth of shoes. How much was his commission?

Answers

ANSWER:
His commission was: 21$

EXPLICATION:
He sold 600$ which presents 100% of his sells.
We have to find how much 3.5% of this amount.
100%—->600$
3.5%—->3.5x600/100=21$

Determine whether the triangles are congruent by AA., SSS, SAS, or not similar.

Answers

Step-by-step explanation:

they are similar by AA .

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Answers

Answer:

its a linear function

Step-by-step explanation:

what's the sum of 15+(-19)​

Answers

-4

15+-19

15 to 19 is 4

19 is the larger than 15 so since 19 is negative your answer will also be negative

-2(4x-1)-7=5

whats the next step in solving this equation

Answers

Answer:

Using distributive property is the next step in solving the equation

Step-by-step explanation:

-2(4x-1)-7=5

-8x+2-7=5

Answer:

The next step would be to do distributive property.

Step-by-step explanation:

-2(4x-1)-7=5

-8x + 2 - 7 = 5

-8x - 5 = 5

     +5    +5

-8x = 10

/-8     /-8

x= -5/4

 or

x = -1 1/4

Hope this helps and I hope u have an Amazing day!!

Can you guys figure out the linear function for this table, please?

Answers

Answer:

y = 6x + 10

Step-by-step explanation:

This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10

solve the inequality for x
-x+23<2-2(x-8)

Answers

Answer:

inequality form: x<-5

Step-by-step explanation:

2 over 3 multiplied by 15

Answers

Answer:

The answer is 10.

Step-by-step explanation:

2/3 times 15 is the same as 2/3 of 15.

2/3 of 15 is 10.

So, the answer is 10.

Find the value of x in the kite below.
x = [?]
Enter the number that goes in the green box.
Please helppp

Answers

The value of x should be 90 degrees

Factor: m*(m+n)-3m*(m+n)^2

Answers

Answer:

−m(m+n)(3m+3n−1)

Step-by-step explanation:

25% of a population have pets. What is the probability that the next person you speak to has pets?

Answers

Answer: I d k

Step-by-step explanation:

Answer:

25

explanation:

just because

a) Simplify
a x b x 8
(1)
b) Simplify
y xyxy
(1)
c) Simplify fully
ex ex exexf
ex ex exfxf
(2)
Total marks: 4

Answers

Answer:

a. 8ab

b. y^3

c. e/f

Step-by-step explanation:

a; a * b * 8 = 8ab

b. y * y * y = y^3

c. we cancel out the e and f

e^4/e^3 * f/f^2

= e/f

Caleb is driving on a long road trip, He currently has 11 gallons of gas in his car, Pach
hour that he drives, his car uses up 2 gallons of gas, How much gas would be in the
tank after driving for 4 hours? How much gas would be left after t hours?

Answers

Answer:

4 hours = 3

t hours = 11-2t

Step-by-step explanation:

11 gallons = total

2 gallons are used up per hour

So:

11 - 2 * ( number of hours) = number of gallons

11 - (2 * 4) = 11 - 8 = 3

11 - (2t)

Answer:

3 gas

Step-by-step explanation:

4x2=8

8-11=3

Find the degree of the monomial.
9xy3z7

Answers

The answer is 11 :)
Your answer is 11, let me know if its correct?

Can you solve for a, b and c?
20 – 3b = -5
4a + 3b = 17
50 - 2a = 1

Answers

Answer:

c  =  1 ,  a  =  2,  b  =  3

Step-by-step explanation:

What is the percent of decrease from 600 to 90 ??

Answers

about 510 percentage. explanation

Answer:

85%

Step-by-step explanation:

((600-90)/600) x 100 = 85%

The membership in the Lego Club decreased from 120 members in August to 82 members in October. What was the percent decrease from August to October?
Type your answer using the % key. Round to the nearest whole percentage if necessary.

Answers

Answer:

72% decrease I...guess?

120 members-60 members=50%

-70 should be approx=60%

-80  should be approx=70%

so 80 is around 70%, so I'd say 82 is 72%

I'm most likely wrong but i dunno maybe im right

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

((120 - 82) / 120) x 100 = 31.66 %

31.66% to the nearest whole percentage is 32%

Stefan made a paper cone with a diameter of 6 inches and height of 12 inches which measurement is closest to the volume of the this cone in cubic inches?

Answers

Answer:

Step-by-step explanation:

113 in ^3  

Help me pls!!!
Can you factor: [tex]8x^{3} -1[/tex]

Answers

Answer:

(2x - 1) (4x^2 + 2x + 1)

Step-by-step explanation:

brainliest me pls

Answer:

[tex]\boxed{\bold{\left(2x-1\right)\left(4x^2+2x+1\right)}}[/tex]

Explanation:

Apply difference of cubes formula: [tex]\bold{x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)}[/tex]

[tex]\bold{\left(2x\right)^3-1^3=\left(2x-1\right)\left(2^2x^2+2x+1\right)}[/tex]

= [tex]\bold{\left(2x-1\right)\left(2^2x^2+2x+1\right)}[/tex]

2² = 4

[tex]\boxed{\bold{\left(2x-1\right)\left(4x^2+2x+1\right)}}[/tex]

- zyxx

What is the slope for this graph?*



(3,2)
|(1,2)
(-2,1)
(-1,2)

Answers

Answer:

the slope is 0

Step-by-step explanation:

Answer:

the answer is 0 .....,..........,..,

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