A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.

(I) If there were x 20c coins, write an equation in x for the number of 50c coins.

(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.

(iii) Solve the equation to find the number of each type of coin in the jar.

Answers

Answer 1

There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

Let x represent the number of 20 cent ($0.2) coins

i) Since there are 35 coins in total:

Number of 50 cent coins = 35 - x

ii) The total value of the coins is $13.90. Hence:

0.2x + 0.5(35 - x) = 13.90

iii) 0.2x + 17.5 - 0.5x = 13.90

0.3x = 3.6

x = 12

Number of 50 cent coin = 35 - x = 35 - 12 = 23

Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.

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Related Questions

How do I graph y=-2x+7?

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Answer:

Step-by-step explanation:

I need help with this what is 4x58

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Answer:

232

Step-by-step explanation:

4*58=232

x/7 + y/5 =12
2x/5 - y/7 =9

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Answer:

x = 35 ,y = 35

Step-by-step explanation:

x = 35

y = 35

onique bought 2 hot dogs and 1 large soda. She spent $7. Scott
bought 4 hot dogs and 1 large soda. He spent a total of $12.
What is the cost of one hot dog and one large soda?

Answers

Hot dogs are $2.50 and drinks are $2.00

7. Write an inequality that matches the graph shown.

Answers

Step-by-step explanation:

first, we define the line.

the slope is -3 (as for every increase of x by 1 unit, y changes by -3 units, which makes the slope -3/1 = -3).

the y-intercept is 2.

so, the line is

y = -3x + 2

now the graph shows that we need to define all y values that are below (and that means smaller than) the result values of the line function.

the line is not included.

therefore the inequality is

y < -3x + 2 or 3x + y < 2

write each power as a product of the same factor. Then find the value. 4^4

Answers

Answer:

256

Step-by-step explanation:

4^4 means 4raise to power 4. so, it's typically 4x4x4x4 which is 256

Which ordered pair is NOT in the solution set of −2x + 3y  ≥  12?

A. (-3,5)
B. (-5,0)
C. (0,6)
D. (-5,3)​

Answers

Answer:

B

Step-by-step explanation:

Enter the percent as a fraction. Then enter the fraction in simplest form.

Answers

Answer:

1/25

Step-by-step explanation:

Divide both the numerator and denominator by 4 to simplify it. That would get you 1/25

does anyone know the answer to this? thank you!

Answers

Answer:

[tex] \alpha = \frac{arc \: length}{radius} \\ arc \: length = \alpha \times radius \\ = 50 \times \frac{\pi}{180} \times 7 \\ arc \: length = 350 \times \frac{\pi}{180} \\ = 1.94 \times \pi \\ = 6.1metre \\ thank \: you[/tex]

Which is not a way to write the answer to this problem?

Answers

Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

PLEASEEEEEEE HELP ME GUYS!! ​

Answers

.49 cents i know cause I know

28. Overhead Projectors Your teacher draws a circle on an overhead projector.
The projector then displays an enlargement of the circle on the wall. The circle
drawn has a radius of 3 inches. The circle on the wall has a diameter of 4 feet.
What is the scale factor of the enlargement?
a

Answers

A scale factor is a factor that can be used to either increase or decrease the size of a given figure. Therefore, the scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

Scale drawing is a type of drawing that requires the use of a factor to either enlarge or reduce the size of a given figure. The factor required is called a scale factor. It can be expressed as:

scale factor = [tex]\frac{length of side of image}{length of side of object}[/tex]

In the given question, the radius of the circle drawn is 3 inches, while that on the wall has a diameter of 4 feet.

Thus;

diameter of circle = 2 * 3

                             = 6 inches

But;

1 feet = 12 inches

So that;

x = 6 inches

⇒ x = [tex]\frac{6}{12}[/tex]

      = [tex]\frac{1}{2}[/tex]

x = 0.5 feet

Thus, the diameter of the circle is 0.5 feet.

So that;

scale factor = [tex]\frac{0.5 feet}{4 feet}[/tex]

                    = 0.125

scale factor = [tex]\frac{1}{8}[/tex]

The scale factor of the enlargement is [tex]\frac{1}{8}[/tex].

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GIVING BRAINLIEST

Wynter likes to take the long way to school each morning. He walks 4 blocks south and then 4 blocks west to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 320 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.

Answers

Answer:
Distance travel by Drew = 1,315.21 feet (Approx)
Step-by-step explanation:
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = Total distance in
north? + Total distance in west?
Distance travel by Drew = v9302 + 9302
Distance travel by Drew:
= V864,900 + 864,900
Distance travel by Drew = V1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)

Distance travel by Drew = 1,315.21 feet (Approx)

What is distance?

Distance is a measure of how far apart two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage. Sometimes, the symbol |AB| is used to represent the distance between two points.

Given:

Total block in north = 3

Total block in west = 3

1 block = 310 feet

Find:

Distance travel by Drew

Computation:

Total distance in north = 3 × 310 = 930 feet

Total distance in west = 3 × 310 = 930 feet

Distance travel by Drew = Total distance in

north? + Total distance in west?

Distance travel by Drew = v9302 + 9302

Distance travel by Drew:

= V864,900 + 864,900

Distance travel by Drew = V1,729,800

Distance travel by Drew = 1,315.21 feet (Approx)

to learn about distance refer to:

https://brainly.com/question/11945643

#SPJ2

can some one help me

Answers

Answer:

y=x-3

Hope This Helps!!!

what is |-9| i need help

Answers

Answer:

9

Step-by-step explanation:

absolute value makes everything positive. for example |-3| = 3 and if its already positive it stays positive, for example |5| = 5

Use the properties of multiplication to solve.

(4 x 13) x 25

Answers

1300 because you times 4 by 13 to get 52 and times that by 25
1300 bc I times then add

The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?

Answers

Answer:

Khaled made 16 baskets.

Step-by-step explanation:

3 12

-- = ---

4 x

12 / 3 = 4

4 x 4 = 16

x = 16

The simple process of counting the number of observations (cases) that are classified into certain categories is called

Answers

Answer:

tabulation. the simple process of counting the number of observations (cases) that are classified into certain categories; a frequency count; counting the number of responses in categories. one-way tabulation. categorization of single variable existing in a study.

Step-by-step explanation:

Select the function that is odd.

A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)

Answers

The answer is A. F(x)= sin(x)

Suppose that a department contains 8 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men

Answers

18,200 +4368= 22,568

3n + 75 = 50 + 2n what does the n equalin the equation

Answers

Answer:

n=  -25

Step-by-step explanation:

Answer:

-25

Step-by-step explanation:

Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25

The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence?

Also, Write the Recursive Rule fo the seqeunce from above ^

Answers

Answer:

a₆ = - 486

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 3 , then

a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486

The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2

Mrs. Ashton buys journals for the students in her language arts class. She pays $64.48 for all of the journals. If there are 26 students in her class, how much does each journal cost?

Answers

Answer:

Each journal costs $2.48

Step-by-step explanation:

Let X be the cost of a single journal.

You can write this equation to represent the problem:

26x = 64.48

(26 times the cost of the journal is $64.48)

Then just solve for x by dividing both sides by 26:

[tex]26x=64.48\\\frac{26x}{26} =\frac{64.48}{26}\\x=2.48[/tex]

Each journal costs $2.48

Fibd the distance and midpoint between each pair of points. C(-2,2) d(5,-3)

Answers

Answer:

D=[tex]\sqrt{10}[/tex] or about 3.2  M=(1.5,-0.5)

Step-by-step explanation:

D=[tex]\sqrt{(x2+x1)^2 +(y2-y1)^2}[/tex]   M=[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Lets find the distance first:

D=[tex]\sqrt{(5+-2)^2 + (-3+2)^2}[/tex]

D=[tex]\sqrt{(3)^2+(-1)^2}[/tex]

D=[tex]\sqrt{9+1}[/tex]

D=[tex]\sqrt{10}[/tex]

D is about = 3.2

Lets find the midpoint now:

M= [tex](\frac{-2+5}{2} , \frac{2+-3}{2} )[/tex]

M=[tex](\frac{3}{2} ,\frac{-1}{2} )[/tex]

M= (1.5,-0.5)

a
Kenny took a total of 10 quizzes over the course of 2 weeks.
How many weeks of school will Kenny have to attend this quarter
before he will have taken a total of 45 quizzes?
weeks
Helppp <3

Answers

Answer:

he would do 9 weeks of school

Step-by-step explanation:

count by fives

6.0 x 10^6 in scientific notation

Answers

Answer:

6,000,000

Step-by-step explanation:

the amount of 0's you add is one less than the exponent listed (for example, the exponent here is 6, so add 5 0's)

AYOOOO HELP!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Value of x= `

4x+5y-6z =2

x= (2-5y+6z) divided by 4

For example : if x is 2.5

2.5 = 2 - 5x2 + 6x3

The area in square feet of a rectangular field is x^2-80x+1500. the width, in feet, is x-30. what is the length in feet.

Answers

Answer:

Step-by-step explanation:

Area = x² - 80x + 1500

        = x²  -30x - 50x + 1500

       = x(x - 30) - 50(x - 30)

        = (x -30) (x - 50)

Length =(x -50) ft

FOR 3 graders learn and pay attention in class its important Ask me any multiplacation equation or time tables

Answers

Answer:

c

Step-by-step explanation:

Solve each equation by completing the square.

X^2 +2x-5=0


N^2-20n+2=4

Answers

Step-by-step explanation:

x² + 2x - 5 = 0

that is the same as

x² + 2x + 1 = 6

(x + 1)² = 6

x + 1 = ±sqrt(6)

x = -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

n² - 20n + 2 = 4

this is the same as

(n - 10)² = 102

n - 10 = ±sqrt(102)

n = 10 ± sqrt(102)

n1 = 10 + sqrt(102)

n2 = 10 - sqrt(102)

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