Write and solve a system of linear equations that represent the situation. There are a total of 64 students in two clubs: xylophone and yo-yo. The xylophone club has 10 more members than the yo-yo club. How many members are in the xylophone club? How many members are in the yo-yo club?

Answers

Answer 1

Answer:

x + y = 64

x = 10 + y

Yo-yo = 27

Xylophone = 37

Step-by-step explanation:

Let :

Xylophone club = x

Yo - Yo club = y

Total members = 64

Xylophone club has 10 more members than yoyo

Hence,

x + y = 64 - - (1)

x = 10 + y - - (2)

Put x = 10 + y in (1)

10 + y + y = 64

10 + 2y = 64

2y = 64 - 10

2y = 54

y = 54 / 2

y = 27

From (1)

x + 27 = 64

x = 64 - 27

x = 37


Related Questions

Find the value of the expression
qXS+r
for q = 2, r = 9, and s = 5.
Submit

Answers

Answer:

19

Step-by-step explanation:

Substitute the values and use the order of operations to find the correct value.

q · s + r

2 · 5 + 9

10 + 9

19

Help. what would the second question be ?

Answers

Answer:

The box is worth 32.30$ ( approximately) in 2021

Step-by-step explanation:

estimate the value of
[tex] \frac{ \sqrt{2\pi} }{ \sqrt{5} } [/tex]

Answers

After divide it, it would be 1.12 in decimal form

What is the explicit formula for this sequence?
5, 2, -1, -4, ...
O A. an= -5+ (n - 1)(-3)
B. an = 5+ (n - 1)(3)
C. an= -3+ (n - 115
O D. a, = 5 + (n - 1)(-3)

Answers

Answer:

C. an= -3+ (n - 115)

Step-by-step explanation:

hope it help

Please Help! I will give brainliest

Answers

Answer:

-6.3n + 8.6

Step-by-step explanation:

you add the terms together

Answer: -6.3n + 8.6

Step-by-step explanation:

graph the equation with a y intercept of 2 and a slope of 2/3

Answers

Answer:y=2/3x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

go on the y-axis and go up to two and then go to the x-axis and start at zero and go to the left two and up three.

Kinda confused. Will give 20pts.

Answers

Answer:

Step-by-step explanation:

the ratio between similar triangles are constant.

so 11/14 has to be equal to z/8 and also a15 = 11/14

so from this we can conclude that z = 8*14/11 = 10.18

Answer:

z = 11 and a = 12

Step-by-step explanation:

These two triangles are similar, in this case, the same angles but different sizes. The answer to this problem is the length of the sides of the triangles. You are given the right side's length on both triangles. The first triangle's sides are 3 (inches, cm, whatever form of measurement is being used) bigger than the second triangle's. Using this information, you can figure out the quantity of both a and z.

Hope this helps.

HELP ME WORTH 100 POINTS AND BRAINLIST IF RIGHT

Answers

Answer:

Id say 60 since its gonna have to be lower than 90. A I did no math but that seems to be here the answer

Step-by-step explanation:

the answer to your question is A. 60

Solve for brainlist ❤️❤️

Answers

Answer:

(68/4) multiply by 3601

Step-by-step explanation:

You buy 11 bagels with a $20 bill. How much change do you receive?

Answers

can’t answer the question without knowing the price of the bagels

well 6 bagels cost $7.50  and you bought 11 bagel with a $20 dollar bill

so answer that

ILL GIVE YOU BRAINLIST PLS HELP THE PICTURE IS BELOW.

Answers

Answer:

(32,48)

Step-by-step explanation:

Notice the pattern? Every time the number multiplies by 2.

10.6 as a fraction please answer

Answers

Answer:

10 6/10

Step-by-step explanation:

since the 6 is in the tenths place we know the denomiter is going to be 10. The 10 infront of the 6 is a whole number

A ship captain is mapping a trip and wants to know the distance the ship will travel over certain time intervals.



Assuming that the ship travels at a constant speed, what is its speed? Show your thinking.

Answers

constant speed
——————————————————

non-constant speed
———_____——^——____——

Solve the following inequality:
2. 4x + 6 < 38

Answers

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1,610 is the answer


The model includes a new park in the center of the city. If the dimensions of the
park in the model are 9 inches by 17 inches, what are the actual dimensions of the
park

Answers

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project,  architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

please help
Stay safe and healthy

Answers

Answer:

9 No explanation needed

if John has test scores of 90 and 76 with one test remaining to be taken, what score must he make on the last test to end up with an 86 average?

Answers

Answer: The last score must be 92%

Step-by-step explanation: To find the average, you add all the terms, then divide by the number of terms.

86 = [tex]\frac{90 + 76 + x}{3}[/tex]258 = 90 + 76 + x (multiple both sides by 3)258 = 166 + x (combine like terms)92 = x (subtract 166 from both sides)

An investor bought a number of shares of stock for $1600 after Priess dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Answers

Answer:

She originally bought either 20 or 32 shares

Step-by-step explanation:

An investor bought a number of shares of stock for $1600 after Price dropped by $10 per share she sold all but four of her shares for $1120 how many shares that she originally by?

Let the number of shares she bought be represented by 1600/x

This is calculated as:

1600/x  = 1120/x + 10  + 4

Multiply through by (x)(x - 10)

1600(x-10) = 1120(x) + 4(x)(x - 10)

1600x - 16000 = 1120x + 4x² - 40x

Collect like terms

4x² + 1120x - 1600x - 40x +16000 = 0

4x² - 520x + 16000 = 0

Using the Almighty formula method

= -b ± √b²- 4ac/2a

a = 4, b = -520 , c = 16,000

Hence:

= -(-520) ± √-520² - 4 × 4 × 16000/2 × 4

= 520 ± √14400/8

= 520 ± 120/8

520 - 120/8

= 400/8

= 50

520 ± 120/8

= 520 + 120/8

= 640/8

= 80

Since we have:

1600/x

When x = 50

= 1600/50

= 32

When x = 80

= 1600/80

= 20

Therefore, she originally bought either 20 or 32 shares

Ummm help plz and thank you

Answers

Answer: Last one

Step-by-step explanation:

(1/3)^3=1/27ft

(1/27)*30= 1 1/9ft

Its the last one

Charles packs 25 boxes in 5 hours. How many boxes can he pack in his 25-hour shift?

Answers

Answer:

he can pack 30 boxes

Step-by-step explanation:

i hope this helps

125 is the Answer because 25x5 is 125 hope this helps

Thelma and Louise ordered take-out from Belle Taco. Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid $7.09.

Answers

Answer:

The cost of 1 taco is $1.31 and 1 quesadilla is $2.89

Step-by-step explanation:

Let [tex]x[/tex] be the cost of 1 tacos and [tex]y[/tex] be the cost of 1 quesadilla

Thelma's order

[tex]2x+1y=5.51\quad\ldots(i)[/tex]

Louise's order

[tex]1x+2y=7.09\quad\ldots(ii)[/tex]

Performing the operation [tex]2\times (i)-(ii)[/tex] we get

[tex]4x+2y=11.2[/tex]

[tex]x+2y=7.09[/tex]

[tex]3x=3.93\\\Rightarrow x=\dfrac{3.93}{3}\\\Rightarrow x=1.31[/tex]

[tex]2x+y=5.51\\\Rightarrow 2\times 1.31+y=5.51\\\Rightarrow y=5.51-(2\times 1.31)\\\Rightarrow y=2.89[/tex]

The required answer is

The cost of 1 taco is $1.31 and 1 quesadilla is $2.89.

‘Saturn' chocolate bars are packed either in boxes of 5 or boxes of 12. What is the smallest number of full boxes required to pack exactly 2005 ‘Saturn' bars?

Answers

Answer:

167

Step-by-step explanation:

Given that :

Saturn chocolate bars are either packed in 5's or 12's

The smallest number of boxes required to pack 2005 bars ;

In other to arrive at smallest number of boxes, then we need to pack primarily in 12's

Number of boxes required for 12 packing :

2005 /12 = 167.08333 boxes (167, remainder 1)

Hence, smallest number of boxes to pack 2005 saturn chocolate bars is 167

could somebody help me please

Answers

Answer:

1. -1

2.C

Step-by-step explanation:

Answer:

-1

c

Step-by-step explanation:

System OT
W + b =13
6.5w + 2b = 57.5

Answers

Answer:   w = 7,  x = 6

Step-by-step explanation:  Solve by substitution

W + b = 13

rewrite as   b = 13 - w  and substitute that value for b in the second equation

6.5w + 2b = 57.5  Then solve for w

6.5w + 2(13-w) = 57.5 . Distribute

6.5w + 26 - 2w = 57.5 .  Subtract 26 from both sides. Combine like terms and simplify

6.5w - 2w = 57.5 - 26

4.5w = 31.5  Divide both sides by 4.65

w = 7 . Substitute 7 for w in the first equation and solve for b

7 + b = 13 . Subtract 7 from both sides

b = 6

Graph the line with the equation y = -3x – 2.
10
9
-10-9
-6 -5
-4
-3
1
3
4
5 6 7 8 9 10

Answers

Answer:

First start with the y-intercept at -2.

Then graph it three units to the right, then one unit down.

Step-by-step explanation:

Please mark as Brainliest!

Answer:

Place a point on (-6,0) and (0,-2) then draw a line that goes through both of those two points. You will then have graphed that equation.

I hope this helps!

I’ll give the Brainliest to who answers these questions with reasonable explanations.


1. A car stereo is on sale for $250 from its original $273 cost. What is the percent of the discount?

A. 84%

B. 92%

C. 9.2%

D. 8.4%
————————————————————————————————————————————————————————

2. The Universal Sports Company purchases weight racks directly from the manufacturer for $46 each. The weight racks are marked up 210% of the wholesale cost and sold. What is the amount of mark-up of each weight rack?

A. $1012

B. $966

C. $96.60

D. $142.60
————————————————————————————————————————————————————————

3. A television set that has an original price of $325.50 is on sale for 30% off. What is the selling price of the television?

A. $423.15

B. $97.65

C. $325.50

D. $227.85
————————————————————————————————————————————————————————

4. The Haas Door Co. produces truck dock door seals. Their 9' × 10' seal costs $280 to produce. The mark-up rate is 75% of the cost to produce. What is the retail price?

A. $280

B. $490

C. $770

D. $210





Thanks for the help!

Answers

Answer:

[tex]\mathrm{1.\:D.\:8.4\%}\\\mathrm{2.\:C.\: \$96.60}\\\mathrm{3.\:D.\: \$227.85}\\\mathrm{4.\:B.\:\$490}[/tex]

Step-by-step explanation:

1. The car's initial price was $273. Since the sale price is $250, the car is on a [tex]273-250=\$23[/tex] discount. The percent of discount is the discount price over the initial price:

[tex]\frac{23}{273}\approx \fbox{$8.4\%$}[/tex].

2. Since the weight racks were initially priced $46, then marked up 210%, their mark-up is:

[tex]46\cdot2.1=\fbox{$\$96.60$}[/tex]

*Worth noting that this is the mark-up (as the question is asking), not the total price after the mark-up.

3. The TV's initial price is $325.50. If it's on sale for 30%, it's final price will be [tex]100\%-30\%=70\%[/tex] of the initial price:

[tex]\$325.50\cdot 0.7=\fbox{$\$227.85$}[/tex]

4. The final retail price will be the initial price + the mark-up:

[tex]280+280(0.75)=\fbox{$\$490$}[/tex].

1 Answer: D(8.4%)
Explanation: 250 is 91.5 percent of 273. Minus 91.5 it is almost perfectly 8.4

2 Answer: C(96.60$)
Explanation: 250% of 46 is 96.60 I put it in a percentage calculator and you can do this with almost every problem

3 Answer: D(227.85$)
Ex: 30% of 325.50 is 97.65 and just minus that from 325.50 and you get 227.85$

4 Answer: D(210$)
Ex: 75% of 280 is 210

Will give brainliest
In terms of x, find an expression that represent the area of the shaded region . The outer square has side lengths of x+5 and the inner square has side lengths of x-2 .
*image*
Area: ______ square units

Answers

Answer:

the expression to find the shaded region : 14x+21

Step-by-step explanation:

(x+5)² - (x-2)² solve by distribution

7(2x+3)

14x+21

Answer:

14x+21

Step-by-step explanation:

(x+5)² - (x-2)²

7(2x+3)

14x+21

On Wednesday, Larry ran 3 miles at 7 mph. How long did it take him to run the 3 miles?

Answers

7 miles in one hour
1 mile in 8 and 4/7 mins
3 miles in 25.7 mins (1 dp)

What is the sign of the product (3)(-3)(-2)(4)? (5 points) Select one: a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive b. Positive, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is positive c. Negative, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is negative d. Negative, because the products (3)(-3) and (-2)(4) are positive, and the product of two positive numbers is negative

Answers

Answer:  a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive

Step-by-step explanation:  It is also possible to rearrange the factors.

(3)(4) = 12  a positive number.

(-3)(-2) = 6, a positive number. Again "a negative times a negative is a positive"  --Jaime Escalante, Stand and Deliver

Now you have two positive numbers: 12×6 = 72

The product is positive either way.

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