A balanced scale has 3 marbles, 2 pennies, and 4 quarters on one side and 4 marbles, 2
quarters, and 1 penny on the other side. If pennies weigh one gram and quarters weigh
3 grams, find the weight of a marble. Explain or show your reasoning.

Answer:

12

Step-by-step explanation:

Answer:

[tex]x\approx4.5[/tex]

Step-by-step explanation:

In relation to ∠U, we are given the triangle's opposite side and adjacent side. Therefore, we should use the tangent function to determine the opposite side:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(34^\circ)=\frac{x}{6.7}[/tex]

[tex]6.7tan(34^\circ)=x[/tex]

[tex]x=6.7tan(34^\circ)[/tex]

[tex]x\approx4.5[/tex]

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

Answer:

70

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

M list the sides of ABC in order from shortest to longest

Sum of angles in a triangle = 180

Angles A + B + C = 180

80 + 3x + 5 + 5x - 1 = 180

3x + 5x = 180 - 80 - 5+1

8x = 96

x = 96/8

x = 12

So angle A = 80, B = 3x + 5 = 3*12 + 5 = 36 + 5 = 41, C = 5x - 1 = 5*12 - 1 = 60 - 1= 59

Angle A = 80, B = 41, C = 59

So the smallest side is the side facing the smallest angle and the largest side is the side facing the largest angle.

So from the smallest to biggest side:

AC < AB < BC

Arigatou gozaimasu!!

Answer:

1. Yes;   2. Yes ;     3. No;       4. Yes

Step-by-step explanation:

The proportion will have to be read the same way.  For example top Δ bottom  to the lower Δ bottom (locate in the same place)

14/21 = 6 /9     Yes  because the top Δ bottom to lower Δ bottom = top side to  

                         lower same side

13.5/21 = 9/ 14   Yes    because the same two sides to the same two sides in

                                     the lower Δ  

9/13.5 = 6 21      No   because top Δ side to lower Δ same location  but the

                                  second one top Δ side to the lower bottom

14 /6 =  21/6      Yes   because top Δ bottom to top side = lower Δ bottom to

                         lower side (in the same place)

Adding this so you can give the other dude the brailyist

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

Answer:

  a. p/7

  b. 21; 35

Step-by-step explanation:

To find the number of pages in each folder, divide the number of pages by the number of folders.

a. There will be p/7 pages in each folder.

b. 147 pages will result in 147/7 = 21 pages in each folder

  245 pages will result in 245/7 = 35 pages in each folder

Answer:

Shape 2 and 3

Step-by-step explanation:

shape 1 is not enclosed so it cannot have area

Answer:

answer 215 nickels

Step-by-step explanation:

Elliete's percentile rank is 96% for a score less than or equal to 246

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 182, σ = 36

For x ≤ 246:

[tex]z=\frac{246-182}{36}=1.78[/tex]

From the normal distribution table:

P(x ≤ 246) = P(z < 1.78) = 0.9625 = 96%

Elliete's percentile rank is 96% for a score less than or equal to 246

Find out more on z score at: https://brainly.com/question/25638875

Answer:

x =10

Step-by-step explanation:

In a parallelogram, opposite sides are congruent

QT = RS

2x - 10 = x

Add 10 to both sides

2x = x + 10

subtract 'x' from both sides

2x -x = 10

x = 10

Answer:

No, a Celsius temperature is not proportional to its equivalent Fahrenheit temperature.

Step-by-step explanation:

The formula is

F=(9/5) C+ 32

F increases as C increases and F decreases as C decreases, but the relation is not a direct proportionality.

In mathematics, a direct proportion has the form

y=mx

where m is a constant.

If the formula had been F=(9/5) C, it would have been a direct proportion.

However, the addition of the + 32 term makes the formula no longer a direct proportion

Answer:

  a.  4, 6

  b.  -72

  c.  (5, 3)

  d.  Graph A

Step-by-step explanation:

To answer these questions, it is useful to start by factoring the equation.

  y = -3x² +30x -72 . . . . given

  y = -3(x² -10x +24) . . . . factor out leading coefficient

  y = -3(x -4)(x -6)

The x-intercepts are the values of x that make the factors zero:

  x = 4, 6

__

The y-intercept is the constant in the equation: -72.

__

We know the x-coordinate of the vertex is the midpoint between the x-intercepts: (4+6)/2 = 5. The y-coordinate can be found by evaluating y at that x-value.

  y = -3(5 -4)(5 -6) = -3(1)(-1) = 3

The vertex is (5, 3).

__

The graph that has the correct vertex and x-intercepts is Graph A.

Answer:

w=3

Step-by-step explanation:

-16+5w=-1 .       add 16 to both sides

5w=15 .   divide both sides by 5

w=3

Answer:

17

Step-by-step explanation:

17 green marbles!

Answer: r=1:18 PREMISES If a jar contains 18 marbles consisting of 15 blue, 2 red, and the rest green, then r=the ratio of green marbles to all of the marbles ...

4 answers

·

1 vote:

Let g= number of green marbles. Blue +red + green = All marbles. So 18

Step-by-step explanation:

Answer:

combine like terms

7y + 6y

 13y + 9

Step-by-step explanation:

here is the solution

13y + 9

Step-by-step explanation:

-33 ≤ -4x + 3

Group like terms

4x ≤ 3 + 33

4x ≤ 36

Divide both sides by 4

4/4x ≤ 36/4

x ≤ 9

Final answer: x ≤ 9

Hope this helps.

Answer:

r = -28/9

Step-by-step explanation:

use slope formula of (y₂-y₁) / (x₂-x₁)

5/9 = [r - (-2)] / [-7 - (-5)]

5/9 = (r+2) /-2

cross-multiply to get:

-2(5) = 9(r+2)

-10 = 9r + 18

-28 = 9r

r = -28/9

Answer:

23 Dimes and 8 Quarter.

Step-by-step explanation:

Important info:

31 Coins worth a total of $4.30

Note:

Dimes = .10

Quarters = .25

10 Dimes = 1.00

4 Quarter = 1.00

Question to Answer:

How many of each type of coin does she have?

Solution:

Lets get rid of the .30 cent in $4.30 so

.30 = 3 Dimes

Now $4.00,

4.00-1.00 of quarter

=

3.00 and 4 quarter..

Right now we have 3 Dimes and 4 Quarter = $1.30.

And that 7 Coins worth of $1.30.

3.00-2.00= 1.00 and 20 Dimes so now we have

23 Dimes and 4 Quarter.

And that add up to 27.

1.00-1.00 of Quarter = 4 Quarter.

so 31 worth a total of $4.30.

So that's 23 Dimes and 8 Quarter.

Check Work:

23 Dimes = $2.30 and 8 Quarter = $2.00

$2.30 + $2.00 = 4.30

Hence, The Correct Answer is 23 Dimes and 8 Quarter.

~[ RevyBreeze }~

Answer:

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as  

L = 2W + 3

 where "twice the width" is 2W and "three more" is just adding 3.

 2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

 P = 2W + 2L

  set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve

Answer:

Step-by-step explanation:

5a.) It starts with two at time one and increases by one each time

5b.) x+1

6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3

7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time

7b.) 2n+1

8a.) x²

8b.) just draw a 6x6

8c.) 12²=144

Answer:

Step-by-step explanation:

The result of 3 5/6+(−1 1/6) is 2 2/3.

The definition of a fraction is that the division of two integers by the number being divided is called the numerator and the divisor is called the denominator.

Kinds of Fractions:

3 5/6+(−1 1/6)

= 23/6 + (-7/6)

= 23/6 - 7/6

= 16/6

= 8/3

= 2 2/3

So, The result of 3 5/6+(−1 1/6) is 2 2/3.

mampir ke indo :v

______

Keywords: Subtract mixed fractions.

[tex]2\frac{2}{3}[/tex] is the simplest form of expression  [tex]3\frac{5}{6} +(-1\frac{1}{6} )[/tex]

A fraction represents a part of a whole.

Fractions are three types proper fraction, improper fraction and Mixed fraction.

The given expression is [tex]3\frac{5}{6} +(-1\frac{1}{6} )[/tex]

Three five by six plus minus one one by six.

Let us convert mixed fraction to improper fraction and solve

[tex]3\frac{5}{6} +(-1\frac{1}{6} )[/tex]

(18+5)/6 -(6+1)/6

23/6-7/6

Now take LCM as 6

(23-7)/6

Sixteen by six

16/6

Eight by three

8/3

[tex]2\frac{2}{3}[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Answer:

x=1

y=-1

Step-by-step explanation:

they have already isolated y in both equations

label both equations

y=-x............1

y=3x-4........2

sub 1 into 2

-x=3x-4

-x-3x=-4

-4x=-4

x=1........ 3

sub 3 into 1

y=-(1)

y=-1

Answer:

\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

192 fl oz. = 6 quarts

to get this you divide the fluid ounces by 32.

Answer:

x=2

Step-by-step explanation:

hope this helps! :D

to everyone reading this: have a miraculous day!! <3

Answer:

x=2

Step-by-step explanation:

..............

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