A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create the system of linear equations and use it to find how many dimes and quarters are in the purse.

Answers

Answer 1

Answer:

14 dimes, 21 quarters

Step-by-step explanation:

Represent dimes with d and quarters with q.

So: 35 coins means

[tex]d + q = 35[/tex]

1 dime = $0.10 and 1 quarter = $0.25. So, a value of $5.60 means

[tex]0.10d + 0.25q = 5.60[/tex]

So, the system of equations is:

[tex]d + q = 35[/tex]

[tex]0.10d + 0.25q = 5.60[/tex]

Make d the subject in [tex]d + q = 35[/tex]

[tex]d = 35 - q[/tex]

Substitute 35 - q for d in [tex]0.10d + 0.25q = 5.60[/tex]

[tex]0.10d + 0.25(35 - q) = 5.60[/tex]

Open bracket

[tex]0.10d + 8.75 - 0.25q = 5.60[/tex]

Collect Like Terms

[tex]0.10d - 0.25q = 5.60 - 8.75[/tex]

[tex]-0.15q = -3.15[/tex]

Solve for q

[tex]q = \frac{-3.15}{-0.15}[/tex]

[tex]q = 21[/tex]

Substitute 21 for q in [tex]d = 35 - q[/tex]

[tex]d = 35 - 21[/tex]

[tex]d = 14[/tex]


Related Questions

can someone explain how i find the missing angle on this thing

Answers

Answer:

70°

Step-by-step explanation:

a + 90 + 20 = 180      {Angles in straight line}

       a + 110 = 180

             a = 180 - 110

            a = 70

Estimate a 15 tip on a dinner bill of 71.68, By first rounding the bill amount to the nearest ten dollars

Answers

Answer:

round the bill up. 15% of that is 10.80

Step-by-step explanation:

plz help I need answers as fast as possible ​

Answers

Answer:

Step-by-step explanation:

a). Set of vowels in English alphabets:

    {a, e, i, o, u}

b). S = {x: x is a positive odd number less than 10}

    S = {1, 3, 5, 7, 9}

c). T = {letters in the word "WOOD"}

    T = {W, O, O, D}

HELP PLEASE ON THIS PROBLEM! LOT OF POINTS!!!!

Select all the proportional relationships.



Multiple select question.

A)
(Picture Below)

B) A train is traveling at a constant speed of 60 miles per hour. The number of hours the train has been traveling is t. The number of miles the train has traveled is d.


C)
The relationship is represented by this table:
(Picture Below)




D) y=3x , where x and y are both positive numbers.


E) y=1x

Answers

Answer:

A, C, D, and E

Step-by-step explanation:

They all have a constant rate.

What’s the approximate value?

Answers

Answer:

D-24.2

Step-by-step explanation:

I'm not sure though

Yup that’s right nice one

What is the slope (1,3) and (5,4)

Answers

Answer:

1/4

Step-by-step explanation:

y2-y1

--------

x2-x1

(x , y)

(1 , 3)

(5 , 4)

4-3=1

--------

5-1=4

Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more mutiplication problems than divison problems did Abu solve?

Answers

The answer would be 100 231 -131 =100

|16|-|-5| what is the answer

Answers

Answer:

11

Step-by-step explanation:

the little bars mean absolute value and the absolute value of -5 is 5

16-5=11

Shelly is using a vase shaped like a triangular prism to display a dozen roses. The volume
of the vase is 154 cubic inches with dimensions shown.
h
7 in.
4 in.
What is the height, h, of the vase?

Answers

Answer:

11 inches

Step-by-step explanation:

Assume the base is right triangle.

The volume:

V = bh = 1/2abh

Substitute values and solve for h:

154 = 1/2(7)(4)h154 = 14hh = 154/14h = 11 inches

NEED HELP LOTS OF POINTS!!! Diego had $21.32 and gave $9.50 to Elena. How much did he have left?

Answers

Answer:

11.18

Step by Step Explanation:

Subtract 9.5 from 21.23

Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y

Answers

Answer:

(-1,4)

Step-by-step explanation:

Using elimination, add the two equations to get rid of the y variable.

17x = 43 - 15y

+8x = -68 + 15y

=25x = -25

x = -1

Now plug in -1 for x in any of the equations.

17(-1) = 43 - 15y

-17 = 43 - 15y

-60 = -15y

y = 4

can someone help me with this please?

Answers

Answer:

y=70°

z= 60°

w= 70°

Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

180°-50°-60°=70°.

The same way we found Z, we can also find Y, since it has to be the same as W.

Write an equation for (-1,-2),(-3,-4)

Answers

Answer:

y=x+1

Step-by-step explanation:

First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:

-4--2/ -3--1= -2/-2= 1

so the slope is 1

Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b

-3=-4+b

1=b

now plug the slope and y intercept in:

y=x+1

hope this helps :D

Anyone know what the answer is? I'd appreciate it if someone could help because im stuck

Answers

Answer:

100

Step-by-step explanation:

Isosceles triangle have 2 equal angles. Therefore the second angle in the triangle will also be 25.

Since the sum of angles in a triangle is 180.

180-(25x2) will give you the last angle in one of the triangles.

The other angle is identical so the angle at the top of the other triangle will also be 130.

The sum of angles in a circle is 360.

Therefore, angle x = 360-(130x2)

X= 100

Some customers have requested a shorter tour with fewer stops. All her tours need to start and end at point A. Suggest a shorter route that eliminates two or three stops from her current route. What is the length in miles of the route you suggest? Round to the nearest hundredth.

Answers

9514 1404 393

Answer:

  ABDEF -- 0.82 miles

Step-by-step explanation:

The lengths in feet of each of the segments have been worked out in the attachment to this problem:

  https://brainly.com/question/21623703

A shorter route could be one that leaves out stops C, G, H:

ABDEF has length (in feet) of ...

  AB +BD +DE +EF +FA = 817.7 +512.8 +804 +803.77 +1370.4 = 4308.67

There are 5280 feet per mile, so the route in miles is ...

  (4308.67 ft)/(5280 ft/mi) ≈ 0.82 mi

Shorter route ABDEF will have a length of 0.82 miles.

6x - (4x – 9) = 25 – 9
-True
-False

Answers

Answer:

Step-by-step explanation:

6x-4x+9=25-9

2x=25-18

2x=7

x=3.5

6x-(4x-9)=25-9

6x-4x+9=25-9

2x+9=16

2x=7

x=3.5 so it is true when x=3.5

fellow brainly users, please don't keep scrolling past this question. i desperately need help. help a sister out. ur reward will be glorious. please, please brainly wan kenobi.. u are my only hope

Answers

Answer:

i think it is 5x or x units

Not sure what kind of reward is glorious, but your answer is

Option 3

If I am wrong, let me know and I will redo the math

more free brain pointssssss if u can answer the question 3+90000000

Answers

Answer:

253892639292639264638 yw

The answer is 9000003

whoever answers right gets brainliest

Answers

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

A T-Shirt cannon can launch 5 shirts in 20 minutes, how many can it launch in 60 minutes?

Answers

Answer:

15

Step-by-step explanation:

5 - 20

10 - 40

15 - 60

Answer:

15

Step-by-step explanation:

because if you double 20 two more times you get 60 so then had 5 three times you get 15

The simplest polynomial function with zeros 7, square root 13 and 27i would be of what degree

Answers

Answer:

The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].

Step-by-step explanation:

A n-th order polynomial in factorized form is defined by:

[tex]y = (x-r_{1})\cdot (x-r_{2})\cdot ...\cdot (x-r_{n-1})\cdot (x-r_{n})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]r_{1}[/tex], [tex]r_{2}[/tex],..., [tex]r_{n-1}[/tex], [tex]r_{n}[/tex] - Roots of the polynomial.

We know that three roots, two real and a complex root. By Quadratic Formula,  a second order polynomial has two conjugated complex number of the form [tex]a + i\,b[/tex] and [tex]a - i\,b[/tex]. Hence, there is an additional zero: [tex]-i\,27[/tex].

By applying (1), we have the following polynomial when all roots are used:

[tex]y = (x-7)\cdot (x-\sqrt{13})\cdot (x-i\,27)\cdot (x+i\,27)[/tex]

By factorization and algebraic handling we have the simplest polynomial function:

[tex]y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)[/tex]

[tex]y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)[/tex]

[tex]y = x^{4}+27\cdot x^{2}-(7+\sqrt{13})\cdot x^{3}-(7+\sqrt{13})\cdot 27\cdot x +7\sqrt{13}\cdot x^{2}+189\sqrt{13}[/tex]

[tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex]

The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].

Subtract - 2x – 10 from 10x2 + 3.

Answers

Answer:

Step-by-step explanation:

2x—33

18/5 - 18/7 plz help!!!

Answers

=36/35
Change the denominator to 35
Then just minus

Answer:

1 1/35 as a mixed number, exact answer is 36/35

What is the slope of (-4,3) and (-3,1)

Answers

-.5 or negative 1/-2
same thing just in a dec and frac
M=-2 is the answer....

You are purchasing paint and paintbrushes
for an art project. Tubes of paint cost $6 each
and paintbrushes cost $8 each. You plan
on spending $60 and purchasing a total of
9 items. Which linear system best represents
the situation?

Answers

Answer:

​(d)   x + y = 9

6x + 8y = 60

Step-by-step explanation:

Matthew is training to participate in a half marathon. Each week, Matthew increases the number of miles he runs in the previous week by the same percent. The table below shows the number of miles he runs in weeks 1 and 2.

Week Number of Miles Run
1 12.5
2 15.5Complete the sentence. Do not round your answer.
Matthew runs
miles in week 3.

Answers

Answer:

Step-by-step explanation:

3/12.5 = x/15.5 so x is 3.72

Then 3.72 + 15.5 = 19.22

Answer:

answering so they can get brainliest ^^

Step-by-step explanation:

Which ordered pair is a solution to the following inequality? Select all that apply. y > 7x −3

A. (2, 12)
B. (-3, -15)
C. (0, -3)
D. (1, 5)

Answers

a 2 12

la respuesta

a (2 212

Can someone plzzz help me

Answers

That’s on edge but I remember it’s b
The answer for this question is B

pls answer asap
its due tomorrow

Answers

Answer:

[tex]\frac{19}{14} x+\frac{97}{56}[/tex]

Aniyah scored 95% on her math test. If she answered 19 questions correctly, how many total questions were on the test?

Answers

Answer:

20

Step-by-step explanation:

19/0.95=20

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