A music store receives shipments of recorders and harmonics. A shipment of 5
recorder and 4 harmonics costs $62. A shipment of 10 recorders and 3 harmonicas
costs $84. Find the cost of a recorder and a harmonica.

Answers

Answer 1

Answer:

Recorders= $6

Harmonics= $8

Step-by-step explanation:

Answer 2
Harmonica = $8
Recorder = $6

We’ll call r the cost of a recorder, h the cost of a harmonica.

5r + 4h = 62
10r + 3h = 84

First, we’ll solve for r in terms of h:
10r = 84 -3h
r = 8.4 - 0.3h

Then we’ll substitute that expression for r in the other equation:

5(8.4 - 0.3h) + 4h = 62
42 - 1.5h + 4h = 62
2.5h = 20
h = 8

Then we’ll substitute that in to solve for the numerical value of r

r = 8.4 - 0.3h
r = 8.4 - 0.3(8)
r = 8.4 - 2.4
r = 6

Check the math:
5r + 4h = 62
5(6) + 4(8) = 30 + 32 = 62


Let me know if you have any questions.

Related Questions

Find sale price of a $4200 television with a 35% markdown (show work)

Answers

Answer:

2730$

4200×35/100

=4200×0.35

=1470$

1470$ is reduced so

4200$-1470$

=2730$

GEOMETRY! I will give brainliest

Answers

Answer:

538.8 (4th option)

Step-by-step explanation:

Area of Circle= 3.14(pi) x r^2

Area=615.44

Sector Area = 315/360 x 615.44 = 538

Directions: calculate the rise,run, and slope on the line below

Answers

Answer: Rise = 3 Run=1  slope=3/1 or just 3

Step-by-step explanation:

start at the left most point and count up to the line that contains the 2nd point

so rise 3

then count over to that 2nd point

so run is 1

slope is rise/run so 3/1

rise = y₂-y₁ = 1 - (-2) = 1+2 = 3

run = x₂-x₁ = 1-0 = 1

slope = rise / run

slope = 3/1

slope = 3

**65 POINTS PLEASE ANSWER SOON**
If the fourth term of an Arithmetic sequence is 48 and the third term is 36...

(A) What is the first term?

(B) What is the twelfth term?

Answers

Answer:

1st term is 12

12th term is 144

Step-by-step explanation:

48-36=a4-a3=a1 so a1 is equal to 12  now to get from a3 to a4, you must add 12, so d=12.

a12=12+11*12=12+132=144

What is the additive inverse of -5/7x?

Answers

The additive inverse of a is denoted by unary minus: −a (see also § Relation to subtraction below). For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0

16/25 as a percentage

Answers

Answer:

64%

Step-by-step explanation:

16/25 = 0.64

0.64*100 = 64

64%

The price of a necklace was reduced from $30 to $21. By what percentage was the price of the necklace reduced

Answers

Answer:

= 30% decrease

Write the equation of a line
containing the point (2, 5) and a
slope of 3 in Point-Slope Form.

Answers

Answer:

y=3(2)+5

Step-by-step explanation:

Formula: y = mx + b

m is your slope

x is your x

b is your y added onto

can someone please help

Answers

Answer:

They are congruent.

Step-by-step explanation:

They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place

Thomas runs 1200m with a constant velocity of 8ms-' before jogging for
the next 200 seconds at a constant velocity of 2ms",
Draw accurate displacement/time & velocity/time graphs for this
run. Draw these directly underneath each other,

Answers

Step-by-step explanation:

only attached the displacement/time graph

Figure JKLM is dilated by a scale factor of 1 over 3 with the center of dilation at the origin. What are the coordinates for the vertices of the new image?v

Answers

Answer:

It’s A

Step-by-step explanation:

I took the test

If it is dilated by a  scale factor of 1/3 with the center of dilation at the origin, The new point is at J'(-1, 2), K'(2, 2), L'(1, 1) and M'(0, 1).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

JKLM has vertices at J(-3, 6), K(6, 6), L(3, 3) and M(0, 3). If it is dilated by a  scale factor of 1/3 with the center of dilation at the origin, The new point is at J'(-1, 2), K'(2, 2), L'(1, 1) and M'(0, 1).

Find out more on Transformation at: https://brainly.com/question/1462871

choose 3 points as inputs to plug into the equation and show your work to find the output. y=x^2 -1

Answers

Answer:

(0,-1), (1,0), (2,3)

Step-by-step explanation:

The input values are your x values.

The output values are your y values.

So, we are going to plug in x to get y.

1. Let's plug in 0 for x.

[tex]y=0^{2} -1[/tex]

[tex]y=0-1[/tex]

[tex]y=-1[/tex]

Our first point is located at (0,-1)

2. Let's plug in 1 for x.

[tex]y=1^{2} -1[/tex]

[tex]y=1-1[/tex]

[tex]y=0[/tex]

Our second point is located at (1,0)

3. Let's plug in 2 for x.

[tex]y=2^{2} -1[/tex]

[tex]y=4-1[/tex]

[tex]y=3[/tex]

Our third point is located at (2,3)

All done! Hope you got a better example from my explanation!

Which of the following is the value for x?

Answers

Answer:

67

Step-by-step explanation:

Find the measure of angle B. PLZ I NEED HELP ASAP!!!!!

Answers

Answer:

1)D 2)A 3)D 4)A 5)A

I hope this help but in question 6 you can report

heat can be produced by - two things​

Answers

Burning and rubbing

Which expression is equivalent to -2(9y-3)
a) -18y + 6 c) -18y -3
b) -18y - 6 d) 18y + 6​

Answers

Answer:

a. -18y+6

Step-by-step explanation:

i hope this helps :)

The answer is A, -18y+6

Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. Which inequality can be used to determine the amount of money the family still needs to save? 2764 + x > 5000 2764 + x Greater-than-or-equal-to 5000 2764 + x Less-than-or-equal-to 5000 5000 + x > 2764

Answers

Answer:

B. 2764 + x Greater-than-or-equal-to 5000

Step-by-step explanation:

A. 2764 + x > 5000

B. 2764 + x Greater-than-or-equal-to 5000

C. 2764 + x Less-than-or-equal-to 5000

D. 5000 + x > 2764

Current balance of their account = $2,764

They need a balance of at least $5,000

At least in inequality means greater than or equal to

Let x = remaining balance to make at least $5,000

The inequality is

2764 + x greater than or equal to 5,000

The answer is B. 2764 + x Greater-than-or-equal-to 5000

The inequality that can be used to determine the amount of money she still needs to save is x ≥ $5000 - $2,764.

What inequality can be used to represent the amount that still needs to be save?

The following are inequality signs and what they mean:

> means greater than< means less than≥ means greater than or equal to ≤ less than or equal to

The inequality sign to be used is ≥.

The amount that still needs to be saved: x ≥ $5000 - $2764

To learn more about inequality, please check: https://brainly.com/question/5031619

HELPP MEE PLEASEEEE!!!

Answers

Answer:

1) 2

2) -2

3) -8

4) -2

Hope this helps!

the sum of three consecutive even integers

Answers

Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

Answer:

B

Step-by-step explanation:

Calculate the distance between the points f=(-8,5) and k=(-4,1) in the coordinate plane round your answer to the nearest hundredth

Answers

Answer:

5.66

Step-by-step explanation:

Given data

the coordinates are

f=(-8,5) and

x1= -8

y1= 5

k=(-4,1)

x2= -4

y2= 1

The distance can be expressed using the formula

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-4+8)²+(1-5)²)

d=√((4)²+(-4)²)

d=√16+16)

d=√32

d=√32

d=5.656

Hence the distance between the points is 5.66

can someone help me plss

Answers

Answer:

the third is correct

Step-by-step explanation:

HELP YALL I DIDNT STUDY

Answers

I believe the answer is
C

HELPP MEEE PLEASEE!!!!

Answers

Answer:

Remove 4 anchors or add 4 floats

Step-by-step explanation:

You want your submarine to go UP 4...

"Anchors" make sub go DOWN and "Floats" make sub go UP

Solve for r 4/r 5/7

Answers

28/5 as a fraction and 5.6 as a decimal

Which equation is equal to 4a + 2b = 10?

Answers

Answer:

26

Step-by-step explanation:

2 plus 24 is 26

which number line represents the solution to the inequality (will make brainliest) pls help

Answers

Answer:

C

Step-by-step explanation:

because the solution dors not include -3 but everything less than.

3 x 8 - 4 divided by 2 + ½

Answers

Answer:

8

Step-by-step explanation:

24 - 4 / 2 1/2 =

20 / 2 1/2 =

20 / 5/2 =

20 x 2/5 =

4 x 2 = 8

Hope that helps!

Answer:

10  1/2

3 times 8 =24

24-4=20

20/2=10

10+ 1/2 = 10 1/2

What’s the additive inverse of -7x + 3 ?? ! please help it’s due at 11:59 and I have waaay more !

Answers

Answer:

7x-3

Step-by-step explanation:

The additive inverse is when you add the number with the inverse to get 0.

What is the measure of the missing angle?

Answers

Answer:

28 degrees

Step-by-step explanation:

85 + 67 = 152

180 - 152 = 28

Answer:

X = 28

Step-by-step explanation:

85

+67

=152

180

-152

=28

the width of a rectangle is 2 in less than its length the area is 24 square inches find the dimensions of the rectangle

Answers

Answer:

6,4

Step-by-step explanation:

Create a system of equations

l-2=w

w*l=24

Substitute

l-2*1=24

l=6

6-2=4

w=4

Dimensions of the rectangle are 6inch and 4 inch.

What is rectangle?

"Rectangle is a quadrilateral whose all  angles are right angle and opposite sides are parallel and equal in measurement."

What is dimensions?

" Dimension is measurement of any object such as length, width and height of any object."

What is area?

"Area is a space occupied by an object."

Let 'l' be the length of the rectangle.

According to the question,

Width = l - 2

Area= 24 square inches

Formula used

Area of a rectangle = length x width

[tex]24 = l[/tex] × [tex](l-2)[/tex]

⇒[tex]24[/tex] = [tex]l^{2} -2l[/tex]

[tex]l^{2} -2l -24=0[/tex]

⇒[tex]l^{2} -6l+4l -24 =0[/tex]

⇒[tex]l(l-6) +4(l-6) =0[/tex]

⇒[tex](l-6)(l+4) =0[/tex]

⇒[tex]l=6[/tex] or [tex]l= -4[/tex]

length cannot be negative.

Therefore, [tex]l=6[/tex]inch

⇒width = [tex]6-2[/tex]

⇒ width = 4 inch

Hence the dimensions of the rectangle are 6inch and 4 inch.

Learn more about dimensions of the rectangle here

https://brainly.com/question/22461630

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