Christina has 50 coins consisting of quarters and dimes. The coins combined value is $9.50. Write a system of equation to determine how many quarters and dimes Christina has.

Answers

Answer 1

Answer:

Christina has 30 quarters and 20 dimes.

Step-by-step explanation:

Given that a quarter is worth 0.25 dollars and a dime is worth 0.10 dollars, if Christina has 50 coins and these add up to a total of $ 9.50, to determine the number of quarters and dimes that she has in her possession, the following calculation must be carried out, taking into account that the difference between a quarter and a dime is 0.15 dollars:

50 x 0.25 = 12.5

12.5 - 9.5 = 3

Thus, the difference between the value that Christina has and the value that she would have if all of her coins were quarters is 3 dollars. Thus, since 0.15 x 20 equals 3, of the 50 coins Christina has, 30 are quarters and 20 are dimes.

This is confirmed through the following equation:

30 x 0.25 + 20 x 0.1 = X

7.5 + 2 = X

9.5 = X


Related Questions

What constant term should be added to both sides to complete the square on the left side?

x^2 - 3/4x + _____ = 10

Answers

Answer:

9/64

Step-by-step explanation:

Given

x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

The square should be in the form of:

(a + b)² = a² + 2ab + b²

We see a = x therefore

2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64

So the missing constant term is 9/64

pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?​

Answers

Answer:

1.2 Liters

Step-by-step explanation:

There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2

6. What are the dimensions of this matrix?

Answers

Answer:

the dimensions will be 2 x 1

Option C is correct option.

Step-by-step explanation:

We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]

The dimensions consists of rows and columns in the form. Rows x Columns

In the given matrix the rows are: 2

The columns are: 1

So, the dimensions will be 2 x 1

Option C is correct option.

I need help pleas I need it please please please free 50 points free 50 pionts

Answers

Answer:

0

Step-by-step explanation:

Answer:

1785

Step-by-step explanation:

24 = 3y Solve for y and show work

Answers

Y=8 Is The Answer I hope this helps

Answer:

y=8

Step-by-step explanation:

because 3×8 is 24

and 8 would be the missing number

Expand the following expression by using the distributive method. 6(3b-4c)

Answers

18b-24c. U take the six times the 3b and then the 6 times the -4c. U “distribute” the six with both values

decide whether the rates are equivalent.

24 laps/6 minutes

72 laps/18 minutes

Answers

Answer:

Yes they are equivalent

Step-by-step explanation:

Because 24/6=4

And 72/18= 4

Hope this helps, have a good day

Answer:
Yes the rates are equivalent
Explanation:
24 laps➗ 6 minutes = 4
72 laps ➗ 18 minutes = 4
As we can see both values divided get the answer, “4” so this shows they are equivalent.

A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?

Answers

Answer:

The answer is $2,016

Step-by-step explanation:

Multiply 168 and 12 to get 2016

Have a great day :)

The inequality x S-8 would represent which of the following values?

Answers

S refers to side so it’s 64 = 8x8

Write an equation of the line in slope intercept form (0,5)(3,4)

Answers

Find slope (y2-y1)/(x2-x1)
(4-5)/(3-0) = -1/3
Y = -1/3x + b
5 = -1/3(0) + b, b = 5
Equation: y = -1/3x + 5

The slope intercep equation of the following points  (0,5) (3,4) will be y = (-1/3)x + 5.

What is the slope-intercept equation?

A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.

For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.

Another example is y = 3x + 7 here 3 will be the slope of that equation.

Slope m = difference in y coordinate/ difference in x coordinate.

Let's suppose our equation is y =mx + c

now m = (4 - 5)/(3 - 0)

m = -1/3 now for c put both point in the equation we get as 5.

So y = (-1/3)x + 5 will be correct slope intercept form.

For more information about slope intercept form

https://brainly.com/question/9682526

#SPJ2

3. (03.01)
Which expression is equivalent to 3(5 + 6)?
8+9
8 + 6
15 + 18
15 + 6

Answers

15 + 18 is equivalent


Name AT LEAST 3 other words that are a synonym for a ROOT of a polynimal

Answers

Answer:

Root of polynomial synonyms: zero, x-intercept

Step-by-step explanation:

Technically in calculus we also call roots critical points of f, but I'm not sure of the obvious 3rd word. Maybe horizontal intercept?

2.a really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. what is the speed of the armadillo​

Answers

Answer:

2 meters per second

Step-by-step explanation:

Hope this helped have an amazing day!

I need help please :D Thanks

Answers

Answer:

Step-by-step explanation:

HII do the parentheses first then carry on if you need more help i suggest you go to caculatorsoup  and search mixed number caculator and it should help u its a web

Help me please I need help on this

Answers

Answer:

1 lb

Step-by-step explanation:

Picked up 3/5 and 4/5.

Used 3/8.

Amount now:

3/5 + 4/5 - 3/8 =

= 7/5 - 3/8

= 56/40 - 15/40

= 41/40

Answer: 1 lb

Yes sirrr. 1 pound.

Need help with this one will mark brainliest

Answers

Answer:

circle 3

Step-by-step explanation:

I’m pretty sure it’s the first one!! Plz mark brainliest!!

Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?

Answers

Answer: First you have to take 20% and make it into a fraction 1/5.

Then you multiply 46.5 and multiply it by 1/5 and get 9.3

Add $46.50 and $9.30 and get $55.80

Step-by-step explanation: Hope this helps!! <3

Which of the following is a linear function?
**easy** WILL MARK BRAINLIEST!!!!!!! HELP ASAP!!!!
[tex]a. \: \: \: y = {x}^{3} + 1 \\ b. \: \: \frac{5}{6} x = y - 4 \ \\ c. \: \: \: y = 8 {x}^{2} \\\ d. \: \: \: y = \frac{1}{5x} [/tex]

Answers

Answer:

b

Step-by-step explanation:

b is a linear function, because all you have to do is swap around the equation. It can't be the ones with exponents or the one that has x as a denominator

Answer:

A: y = x^3 + 1

Step-by-step explanation:

Answer the following question:

Answers

Answer:

perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5

Solve for x = X-16/x+6= 3/5

Answers

Answer:

-16/29

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test

please help me im very behind​

Answers

Answer:

y=4/3x+4

Step-by-step explanation:

The change is Y is +4 and in X in +3, which is how we get the slope..4/3.

And the y-intercept would be 4, which is when x is at 0.

Hope this helps!

Answer:

y=4/3x+4

Step-by-step explanation:

Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.

Answers

Given:

Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

Then dilated  with a factor of 1/3 to form triangle A"B"C".

To find:

The correct statement for triangles ABC and A"B"C".

Solution:

We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.

So, figures are always congruent to their images after reflection.

[tex]\Delta ABC\cong Delta A'B'C'[/tex]       ...(i)

Dilation is not a rigid transformation. Here, shape remains same nut the size is different.

So, figures are always similar to their images after dilation.

[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex]        ...(ii)

Using (i) and (ii), we get

[tex]\Delta ABC\sim \Delta A"B"C"[/tex]

ΔABC and ΔAB"C" are similar triangles.

Therefore, the correct option is A.

PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles

Answers

Answer:

1)

8x + x = 180

9x = 180

x = 30

2)

x + 2 = 2x - 40

2 = x - 40

x = 42

3)

2x + x = 90

3x = 90

x = 30

4)

3x + 1 = 4x - 25

1 = x - 25

x = 26

Johnny divided 3 1/2 x 4 what number did he get

Answers

Answer:

14

Step-by-step explanation:

3 1/2= 3.5

so...

3.5*4=14

Answer:

14

Step-by-step explanation:

7 / 2 × 4

7 × 2

14

hope it helps!

Set up an equation that relates the direct variation. D varies directly with t

Answers

Answer:

I really don’t understand the question.. sorry I couldn’t help...

Express the percent as a decimal 6.4%

Answers

Answer:

0.064

Step-by-step explanation:

Hope this helps!

What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60

Answers

Answer:

[tex]y = \frac{224}{15}[/tex]

Step-by-step explanation:

Given

[tex]y = 7x + 14[/tex]

[tex]2x + 4y = 60[/tex]

Required

Find y

First, substitute 7x + 14 for y in the second equation:

[tex]2x + 4y = 60[/tex] becomes

[tex]2x + 4(7x + 14) =60[/tex]

Open bracket

[tex]2x + 28x + 56 = 60[/tex]

[tex]30x = 60 - 56[/tex]

[tex]30x = 4[/tex]

Solve for x

[tex]x = \frac{4}{30}[/tex]

[tex]x = \frac{2}{15}[/tex]

[tex]y = 7x + 14[/tex] becomes

[tex]y = 7 * \frac{2}{15} + 14[/tex]

[tex]y = \frac{14}{15} + 14[/tex]

[tex]y = \frac{210+14}{15}[/tex]

[tex]y = \frac{224}{15}[/tex]

Hence:

[tex]y = \frac{224}{15}[/tex]

perform each operation (3x-4)(x+4)

Answers

Answer:

x = 4

(don't really know what they mean by perform?)

Step-by-step explanation:

Find the distance across the bridge

Answers

It’s a bridge-length

what is the answer to 2/5 times 1/4

Answers

Problem: 2/5•1/4
2•1=2
5•4=20
Answer would be 2/20, but you can still simplify.
2/20 divided by 2= 1/10

The simplified fraction would be 1/10
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