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.

Answers

Answer 1

Answer:

See image

Step-by-step explanation:

An equation is really like a scale with two equal things on both sides. You could use the idea of a scale and lift off the same amount from both sides to keep it balanced. But I will show you the algebra version. When we subtract the same thing from both sides that's how we work back to our answer while keeping the scale balanced.

Let m = weight of a marble

p = weight of a penny = 1 gram

q = weight of a quarter= 3 grams

The problem says how many of each marble, penny, quarter, then set them equal to each other. See image

A Balanced Scale Has 3 Marbles, 2 Pennies, And 4 Quarters On One Side And 4 Marbles, 2quarters, And 1

Related Questions

(X+3)= 1
(2x+5)=(3n+2)

Answers

Hello!

(x + 3) = 1

x + 3 = 1

x = 1 - 3

x = -2

(2x + 5) = (3n + 2)

[2 × (-2) + 5] = (3n + 2)

(-4 + 5) = (3n + 2)

1 = (3n + 2)

1 = 3n + 2

3n + 2 = 1

3n = 1 - 2

3n = -1

n = -1 : 3

n = -1/3

Good luck! :)

PLEASE SOMEONE ANSWER THIS ASAP !!!!!!!!!

Graph the function f(x) = 2*-7 on the set of axes below.

If g(x)= 1.5x-3, determine if f(x) > g(x) when x = 4. Justify your answer.

IMAGE NEEDED!!!!!

Answers

Answer:

for the second one,

f(4)= 2⁴-7= 9

g(4)= 1.5x4-3= 3

therefore 9>3

f(4)>g(4)

ABCDEFGHIJ is a regular decagon and the measure of <D is 144º. What is the measure of <A?

A) 90°
B) 100°
C) 144°
D 220°

ABC is an equilateral triangle and the measure of <A is 60°. What is the measure of <C?

A) 45°
B) 60°
C) 90°
D) 180°​

Answers

Answer:

1. 144⁰

2. 60⁰

Step-by-step explanation:

The formula to find the measure of the interior angles of a regular polygon is:

m< = (n - 2) • 180/n where n = the number of sides

For a decagon, there are 10 sides.

m< = (10-2) • 180/10 = 144°

A regular polygon/equilateral triangle is defined as having equal sides and angles.

Answer:

given ABCDEFGHIJ is a decagon

As we know the sum of all ten interior angles of a decagon = 1440°

so measure of each angle of decagon = (1440/10)° = 144°

so the measure of ∠A would be 144° (C)

given Δ ABC is a equilateral triangle

As we know the sum of all three interior angles of a equialter traingle = 180°

so if one angle of an equilateral triangle is 60°

then the remaining of the angles would have the measure of 60° each

So answer = 60°(B)

Hope it helps

Last one thanks to whoever helps

Answers

Answer:

see below

Step-by-step explanation:

take f(x)=5x-6, which is y=5x-6

switch the y for x and x for y and you get

x=5y-6

then add 6 on both sides and you get

x+6=5y

now divide both sides by 5 and you get

y=(x+6)/5

which is the inverse of the original function

Answer:

Solution given:

f(x)=5x-6

let f(x)=y

we get

y=5x-6

Interchanging role of x and y

x=5y-6

x+6=5y

y=[tex]\bold{\frac{x+6}{5}}[/tex]

so

f-¹=[tex]\bold{\frac{x+6}{5}}[/tex]

shown

( a ) 2x + 3y − 5z ( ) 32
( b ) x + y + z ( ) 8
( c ) x
2 + 2xy + z
2
( ) 36
( d ) (x + y)(x + z) ( ) −1
( e ) −(x
2 − y
2
) ( ) −16

Answers

Answer:

Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible  that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.

In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of  

nation:

Find the slope of
(-3,6)(5,-4)

Answers

Answer:

Slope: -5/4

Step-by-step explanation:

Slope formula: [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]

Plug in:

[tex]\frac{-4-6}{5-(-3)}[/tex]

Solve:

[tex]\frac{-4-6}{5-(-3)}[/tex]

-4 - 6 = -10

5-(-3) = 8

-10              5

-----   =   -  -----

8               4

The answer is -5/4

Hope this helped.

Help. Needs to find the value of x

Answers

Step-by-step explanation:

angle marked on diagram = 180 - 75 = 105° (supplementary angles)

x = 105° (alternate angles are equal)

Are the triangles similar? If so, what postulate or theorem proves
their similarity?
O No, the triangles are not similar

Yes, by AA Similarity Postulate

O Yes, by SSS Similarity Theorem

O Yes, by SAS Similarity Theorem

Answers

Answer:

Yes, by SSS Similarity Theorem

Step-by-step explanation:

the triangles are similar because the sides are proportional, the common ratio is 1.5.

if you look at the corresponding sides of the triangle and multiply 1.5 to the smaller triangle measurements, you get the bigger triangle's corresponding measurements:

3 * 1.5 = 4

4 * 1.5 = 6

6 * 1.5 = 9

Yes the triangle are similar by SSS Similarity Theorem.

What is Similarity?

Triangles' similarity can be characterized based on their attributes.

If two triangles are similar,

(I) their respective angles are equal, and

(ii) their corresponding sides have the same proportion (or proportion

We have two triangles.

From the triangle we can write

AB / ED = 4/ 6 = 2/3

and, AC / FD = 6 / 9 = 2/3

and, BC / EF = 3 / 4.5 = 30 /45 = 2/3

Thus, AB / ED = AC / FD = BC / EF = 2/3

By SSS Similarity Criteria triangles are similar.

Learn more about Similarity here:

https://brainly.com/question/26451866

#SPJ5

convert 3.35 hours into hours and minutes​

Answers

3.35 hours is 3 hours and 21 minutes.

3.35 hours is also equivalent to 201 minutes and 0 seconds or 12060 seconds.

Hope this helps!

Have a wonderful day!

Answer:

3 hours and 21 minutes

Step-by-step explanation:

2. In a certain company, the senior employees have an average of 16 years of work experience and the junior employees have an average of 4 years of work experience. If the average number of years of experience for all the senior and junior members is 7 years, then what is the ratio of senior members to junior members at the company

Answers

Answer:

The ratio of senior members to junior members at the company is 1 : 3

Step-by-step explanation:

The given average number of years of experience of the senior employees, x = 16 years

The given average number of years of experience of the junior employees, y = 7 years

Let a represent the number of senior employees in the company, and let b represent the number of junior workers in the company, we have;

(16·a + 4·b)/(a + b) = 7

∴ (16·a + 4·b) = (a + b) × 7 = 7·a + 7·b

16·a - 7·a = 7·b - 4·b

9·a = 3·b

a/b = 3/9 = 1/3

a/b = 1/3

The above equation, expressed as a ratio is, a : b = 1 : 3

Therefore;

The ratio of senior members to junior members at the company, a : b = 1 : 3.

618 000 in standard form​

Answers

6.18000 x 10 5

This is the standard form of 618,000

Thanks , Please mark me brainliest

TyrantMC

Find the value of x for which (4/5)-4 x (4/5)-7 =(4/5)2x-1 Can some1 say this ans fast plz

Answers

Answer:

Fraction form: x = -21/4

Decimal Form: x = -5.25

Step-by-step explanation:

See the picture for steps :)

What is the Compound interest on Rs.1000 at the rate of 20% p.a. semiannually for 1 year and 10 months?
A. Rs. 420.31
B. Rs. 400.29
C. Rs. 419.73
D. Rs. 409.13​

Answers

Answer:

420.31

Step-by-step explanation:

A

.Rs.420.31

20ejjdj

Answer:

I think A rs 420.31 is right answet

Find the volume of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

1.92

hopefully this answer can help you to answer the next question.

100 PNTS AND BRAINLIST FOR CORRECT ANWSER WITH A GOOD EXPLAINATION!!

You pay $10 to play the following game of chance. There is a bag containing 20 balls: five are red, five are green, and the rest are yellow. You are to draw one ball from the bag. You will win $18 if you draw a red ball, and you will win $10 if you draw a green ball. You win nothing for drawing a yellow ball. What is the expected value? Should you play?

Answers

Answer:

Expected value is -3

You should not play

Step-by-step explanation:

five are red, five are green, 10 yellow

P(red) = red/total = 5/20 = 1/4

P(green) = green/total = 5/20 = 1/4

P(yellow) = yellow/total =10/20 = 1/2

Expected value = 1/4(18) + 1/4(10) + 1/2(0) - 10 to play

                             =18/4 + 10/4 - 10

                            =28/4 -10

                             =7-10

                             = -3

You should not play

What is the area of the following circle?

Answers

Answer:

[tex]16\pi\:\mathrm{units^2}\text{ or }50.24\:\mathrm{ units^2}[/tex]

Step-by-step explanation:

The area of a circle with radius [tex]r[/tex] is given as [tex]A=r^2\pi[/tex].

In the question, we're given [tex]r=4[/tex] and asked to solve for [tex]A[/tex].

Substituting [tex]r=4[/tex] into [tex]A=r^2\pi[/tex], we get:

[tex]A=4^2\pi,\\A=\boxed{16\pi\:\mathrm{units^2}}[/tex]

If we use [tex]\pi=3.14[/tex] as mentioned in the question, we would have:

[tex]A=16\pi=16\cdot 3.14=\boxed{50.24\:\mathrm{units^2}}[/tex]

What is the distance from point N to LM in the figure below?

Answers

Let me see the rest of the answers choices

Answer:

It is 7.5

Step-by-step explanation:

Amanda rented a bike from Ted's Bikes.
It costs $10 for the helmet plus $4.25 per hour.
If Amanda paid about $33.38, how many hours did she rent the bike?
a) Let h = the number of hours she rented the bike. Write the equation you would use to solve this problem.

Answers

Answer:

≈ 5.51 hours

Equation: 4.25h + 10

The number of hours Amanda rented the bike is 5.5 hours.

The equation used to solve this problem is 33.38 = 10 + 4.25h.

The rent cost for the helmet is $10.

The rent cost for the bike per hour is $4.25.

We need to find the number of hours Amanda rented the bike as she paid $33.38 in total.

We also have to make an equation that would solve this problem.

Consider h = number of hours Amanda rented the bike.

The cost for renting the helmet = $10.

And rent cost for the bike per hour = $4.25.

Amanda's total cost = Helmet rent cost + bike rent cost

Since we do not know the number of hours the bike was rented we will denote bike rent cost  = $4.25 x h

We have,

$33.38 = $10 + $4.25 x h

33.38 = 10 + 4.25 x h

33.38 - 10 = 4.25 x h

23.38 = 4.25 x h

h = 23.38 / 4.25

h = 5.5011

Rounding to the nearest tenths we get,

h = 5.5 hours

The number of hours Amanda rented the bike is 5.5 hours.

The equation used to solve this problem is 33.38 = 10 + 4.25h.

Learn more about solving word problems using equations here:

https://brainly.com/question/16369335

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Which is the graph of f(x) = 4[½]^x?​

Answers

Answer:

from left to right the second graph

Step-by-step explanation:

f(x) = 4(1/2)^x

y = 4(1/2)^x

-find the y-intercept

if x=0 then y = 4(1/2)^0 = 4*1 =4, the y-intercept is (0,4)

so is first or second graph

-look at the second graph and check if the function go trough the point (1, 2)

if x=1 then y = 4(1/2)^1 = 4/2 = 2

so the second graph it is

PLEASE HELP!!! very confused

Answers

Answer:

Step-by-step explanation:

The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:

[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex] and so far we have that h = 0 and k = 0.

By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.

The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:

If h+c = 13 and h = 0, then

0 + c = 13 and c = 13.

We need that c value to help us find b:

[tex]c^2=a^2+b^2[/tex] and

[tex]13^2=5^2+b^2[/tex] and

[tex]169=25+b^2[/tex] and

[tex]144=b^2[/tex] so

b = 12. Now we're ready to fill in the equation:

[tex]\frac{x^2}{25}-\frac{y^2}{144}=1[/tex] and there you go!

WILL GIVE BRAINLISEST Solve for m∠NLM



GOOD LUCKJ!

Answers

Answer:

[tex]m<NLM = 30[/tex]

Step-by-step explanation:

1. Approach

The easiest way to solve this problem is to find the degree measure of the parameter (x). Use the fact that line (LN) is a diameter to solve for (x), beacause the angle measure of a circle on either side of the diameter is (180) degrees. One can then find the measure of arc (mNM), and then find the measure of the angle (<NLM) using the inscribed angles theory.

2. Find the measure of (x)

A diameter is the largest chord or segment in a circle. It intersects a circle at two points and runs through the center of a circle. The degree measure of a circle on either side of the diameter is (180) degrees. As per the given image, line (LN) is a diameter. The arcs (mLM) and (mNM) make up half of the circle, or rather one side of the diameter. With this information, one can form an equation and solve for the parameter (x) using this information:

[tex](mLM)+(mNM)=180[/tex]

Substitute,

[tex](mLM)+(mNM)=180[/tex]

[tex](13x-10)+(7x-10)=180[/tex]

Simplify,

[tex](13x-10)+(7x-10)=180[/tex]

[tex]20x-20=180[/tex]

Inverse operations,

[tex]20x-20=180[/tex]

[tex]20x=200[/tex]

[tex]x=10[/tex]

3. Find the measure of angle (<NLM)

The inscribed angles theorem states that an angle with its vertex on the circumference (outer edge) of a circle is equal to half of the surrounding arc. One can form an equation and solve for the measure of angle (<NLM).

[tex]m<NLM=\frac{1}{2}(mNM)[/tex]

Substitute,

[tex]m<NLM=\frac{1}{2}(mNM)[/tex]

[tex]=\frac{1}{2}(7x-10)[/tex]

[tex]=\frac{1}{2}(7(10)-10)\\\\=\frac{1}{2}(70-10)\\\\=\frac{1}{2}(60)\\\\=30[/tex]

(x+5). (x-4)-(x+2)^2+(2x+3)^2=(2x-1) (4x^2+2x-1)+18x(2x+3)​

Answers

Answer:

x ≈ -0.73151

Step-by-step explanation:

Find the length of BC⎯⎯⎯⎯⎯⎯⎯⎯

Answers

Answer:

≅ 53.679

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(54) = BC / 39

1.37638... = BC / 39

BC = 1.37638... x 39

= 53.67889...

Jol 26, 12:24:35 PM
Solve for x. Round to the nearest tenth, if necessary.
5.7
71
Answer: 2
Submit Answer
attempt 1 out of 2
PLS HELP i really need to finish this

Answers

Answer:

x = 16.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 71 = x /5.7

5.7 tan 71 = x

x=16.55400

Rounding to the nearest tenth

x = 16.6

PLZZZZ HELPPPPPP!!!!!!!!!!!

Answers

Answer:

5/8 boxes

Step-by-step explanation:

1/3 ⋅ 1 7/8 = ?

1/3 ⋅ 15/8 = 15/24

15/24 = 5/8

5/8 boxes

A woman making $32,000
a year receives a cost-of-living increase that raises her salary to $32,768
per year. Find the percent of increase in her yearly salary.

Answers

Percentage increase= $768÷32000=0.024

=0.024×100=2.4%

Answer my question

im being timed

Answers

Answer:

the third one

Step-by-step explanation:

The equation of a function and its table of values has been given. Complete the table.

=−2+5

Answers

Answer:

X    -2     - 1     0    1     2

Y     9       7     5    3     1

Step-by-step explanation:

Given equation:

y = -2x + 5

Find:

Complete table

Computation:

Missing table;

X    -2     - 1     0    1     2

Y

y = -2x + 5

When x = -2

y = -2x + 5

y = -2(-2) + 5

y = 9

When x = -2

y = -2x + 5

y = -2(-1) + 5

y = 7

When x = -2

y = -2x + 5

y = -2(0) + 5

y = 5

When x = -2

y = -2x + 5

y = -2(1) + 5

y = 3

When x = -2

y = -2x + 5

y = -2(2) + 5

y = 1

X    -2     - 1     0    1     2

Y     9       7     5    3     1

find the missing side. Round it to the nearest tenth. ​

Answers

Answer:

37.3

Step-by-step explanation:

tan63 = opposite/adjacent = x/19

x = 19tan63 = 37.2895 = 37.3

Final Answer: x = 60

Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]

a = 19

b = x

c = 63

solution

b = [tex]\sqrt{c^2-a^2}[/tex]

b = [tex]\sqrt{63^2-19^2}[/tex]

b = [tex]\sqrt{3,969 -361}[/tex]

b = [tex]\sqrt{3,608}[/tex]

b = [tex]\sqrt{60.0666}[/tex]

rounded off: 60.0 or just 60

x = 60


Hey can anyone help with this question?

Answers

It's approx. 8.2462... So rounding to the nearest tenth, it will be 8.2 :)

Answer:

Step-by-step explanation:

When you learn calculus you'll be able to do this by hand (without a calculator) but for now we have to just kind of guess. We know that 8 x 8 = 64 and 9 x 9 = 81, so the number is between 8 and 9. Since 68 is closer to 64 than it is to 81, the number is closer to 8. Like less than 8.5. 8.1 squared is 65.61, (you can do this by hand...without a calculator) and 8.2 squared is 67.24, and 8.3 squared is 68.89. 8.3 squared is too high while 8.1 squared was too low; the estimation to the nearest tenth is 8.2

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