A bag is filled with green and blue marbles. There are 43 marbles in the bag. If there are 7 more green
marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.
Equation (use x as your variable):
The number of blue marbles is:____
The number of green marbles is:____

Answers

Answer 1

Answer:

Blue marbles: 18

Green marbles: 25

Step-by-step explanation:

First off, we have to define our variables.

g = # of green marbles

b = # of blue marbles

We know two equations:

g + b = 43 and g = b + 7

If you're wondering how I got the first equation, it was because the number of green and blue marbles is 43. For the second equation, we know that there are 7 more green marbles than blue marbles.

Now, we have an equation for the number of green marbles. We can plug that equation into the equation g + b = 43.

So, (b + 7) + b = 43.

When we simplify it, we get 2b + 7 = 43.

We subtract 7 from both sides, which gets us 2b = 36.

Now, b = 36/2.

b = 18.

So, we found out the number of blue marbles that we have. We know that g + b = 43. Now, all we have to do is plug in the number of blue marbles into that equation to find out the number of green marbles.

g + 18 = 43.

g = 43 - 18.

g = 25.

Thus, the number of green marbles we have is 25 and the number of blue marbles is 18.


Related Questions

What is the length of the hypotenuse of right ΔUVW shown?
Question 8 options:

A)

42

B)

41

C)



D)

99

Answers

Answer:

B - 41

Step-by-step explanation:

A squared + B squared = C squared

40 squared + 9 squared = X squared

the answer is 41

Step-by-step explanation:

Step-by-step explanation:

A squared + B squared = C squared

40 squared + 9 squared = X squared

Given that ABCD is a parallelogram with diagonals intersecting at M. Segment PQ is drawn such that P lies on AB and Q lies on DC and it passes through M. Prove that PM is congruent to QM.​

Answers

Answer:

we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and

PM = QM

Step-by-step explanation:

because it's a parrallelogram, Ad = BC and AB = DC.

P passes through both  AB and DC on a diagonal, angles created by P have oppoiste exterior angles of eachother.

the diagonals of AC create congruent angles at DMC and AMB and because P is cutting through them, the angles P cuts at DMQ and QMC are equal to that of AMP and PMB

that being said, we now see that the angles of APM triangle and AMC triangol are equal and because the diagonal of BD is is being cut by AC, which AD is parralel to BC  and AB to Dc, we know now that lines AM and MC are congruent

we thus have enough informnation to prove that the two triangles are congruent. Because of thism, one side of the triangles, Pm which is the congruent side to that of PQ must be equal as well and

thus PM = QM

The alternate interior angles formed by the parallel sides and a common

transversal are equal, such that ΔPBM and ΔQDM are congruent.

Correct response;

PM is congruent to QM  by CPCTC

How is the congruency of the segments determined?

The two column proof is presented as follows;

Statement [tex]{}[/tex]                                          Reason

ABCD is a parallelogram [tex]{}[/tex]                         Given

AC and DB are diagonals of ABCD [tex]{}[/tex]        Given[tex]{}[/tex]

M is the point of intersection of the diagonals [tex]{}[/tex] Given

MB ≅ DM, and AM ≅ CM;[tex]{}[/tex]  Properties of the diagonals of a parallelogram

∠PMB ≅ ∠DMQ [tex]{}[/tex]                                Vertical angles theorem

∠PBM ≅ ∠QDM [tex]{}[/tex]                                Alternate interior angles theorem

ΔPBM ≅ ΔQDM  [tex]{}[/tex]                               Angle-Side-Angle Congruency post.

PM ≅ QM [tex]{}[/tex]                                          CPCTC

ΔPBM is congruent to ΔQDM by Angle-Side-Angle congruency

postulate, given that they have two angles and an included side that are

congruent.

Therefore;

PM is congruent to QM by Corresponding Parts of Congruent Triangles are Congruent, CPCTC.

Learn more about congruency postulates here:

https://brainly.com/question/17003791


Trombonium has a half-life of 4200 years. How long will it take an object
composed of Trombonium to decay to 10% of its original mass

Answers

Answer:

420 years

Step-by-step explanation:

h+8g
g=5 and h=4
I am not very quick at these and I need an answer ASAP
please!!

Answers

Answer:

44

Step-by-step explanation:

4+8(5)

Multiply 8 by 5

4+40=44

Add 4 to the product (40) to get the final answer of 44

Remember PEMDAS

what is the length of AC?

• 10
• 12
• 15
• 20

Answers

the answer is 12. sorry if i’m wrong

una fotografía se reduce a una escala de 1:3 y enseguida se reduce nuevamente con una escala de 1:4 ¿cuáles la reduccion total que sufre la fotografía original?​

Answers

Answer:

I don't speak that language

What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards

Answers

Answer: 230. 58 m^3


Explanation: V=πr2h=π·3.662·5.49≈230.58431


Hope this is right

Answer:

301.59 yards

Step-by-step explanation:

At a restaurant, Julio's bill totals $37.60 (before tip). He leaves a 15% tip. Find the amount Julio left for tip.​

Answers

Answer:

$5.64 is left for tip.

Step-by-step explanation:

Given that,

The total bill of Julio = $37.60

He leaves a 15% tip.

We need to find the amount Julio left for the tip.​

The left amount can be calculated as follows :

[tex]L=15\%\ of\ 37.60\\\\=\dfrac{15}{100}\times 37.60\\\\=\$5.64[/tex]

So, Julio left $5.64 for tip.

5|x + 11 + 7 = -38
Absolute value equations

Answers

the answer to this question is 32

I need help
The radius of a circle is 3 meters. What is the area of a sector bounded by a 180° arc?

Answers

14.12 meters squared

Which one is it? I got confused plz help

Answers

Answer:

Red: 2.035 x 10(4)

Step-by-step explanation:

Answer:

Red.

Step-by-step explanation:

Scientific notation consists of the ones place with a decimal right after it and a 10 to the something power next to it, therefore red is your answer.

Simplify the expression completely.3 m−3n5−4n4(−4m5n−4)

Answers

Answer:

16[tex]m^{5}[/tex] [tex]n^{5}[/tex]- 3[tex]n^{5}[/tex] + 16[tex]n^{4}[/tex] + m

Step-by-step explanation:

PEMDAS and the Distribution Proporty.

Answer:

16m 5n5 - 3n5 +16n4 +3m

Step-by-step explanation:

the number in bold is the exponents dont know how to put them up there

8(a + 30)=80 a equals how much?

Answers

Answer:

a = -20

Step-by-step explanation:

In this question, you would solve for "a".

Solve:

8(a + 30)=80

Use the distributive property.

8a + 240 = 80

Subtract both sides by 240

8a = -160

Divide both sides by 8.

a = -20

Your final answer would be a = -20

Answer:

a=-20

Step-by-step explanation:

Multiply 8 by a and 30 which is 8a and 240

The equation looks like this:

8a+240=80

Subtract 240 on both sides:

8a+240-240=80-240

The equation looks like this now:

8a=-160

Divide by 8 on both sides:

8a/8=-160/8

The answer will be:

a=-20

select all that are equal to 5³x 5⁻⁷

Answers

Answer:

The third and fifth are correct

The second one is NOT correct

answer : the second and third ones are correct.

explanation for the second one : they don’t accept negative exponent answers. by putting a “1” on top, it just means that you’re simplifying the problem and you’re just taking the 5^-4 and making it positive

explanation for the third one : it’s just the answer to 5^3•5^-7 but not simplified yet

Any consecutive sides of a parallelogram are parallel.

A. Always True
B. Sometimes True
C. Never true

Answers

It’s always true cuz a parallelogram is parallel

ANSWER:Any consecutive sides of a parallelogram are parallel?

A. Always True is your answer.

a chef made 30 Donuts in 60 minutes. how long would it take him to make 90 Donuts?​

Answers

Answer:

180 minutes

Step-by-step explanation:

90×60/30= 180

jon had 500 apples and he gets 111100 more apples. how many apples dose jon haver in all

Answers

Answer:

1111600                   lol

Step-by-step explanation:

To many apples
111600

Help please. A store has a sale. Customers can buy one item at full price and take 50% off the cost of a second item with a lesser price. Nikia buys one item with a price of $80 and another item with a price of $120. With the sale, what percent discount does Nikia receive on her total purchase?

Answers

Answer:

Your answer

70% discount on total price

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

π/4 equals how many degrees?


270


90


45


360

Answers

Answer:

your answer would be 45 :)

Step-by-step explanation:

Simplify: 1 + 2 x (8(3 - 2)) + 7 *

Answers

Answer: 16x + 8

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1 + 2 x (8(3 - 2)) + 7

1 + 2 x (24 - 16) + 7

1 + 2 x (8) + 7

1 + 16 + 7

17 + 7

24

Hewo do u know fractions because I am dying from it T-T

1/2+___=7/6

Help T-T

Answers

Answer:

1/2 + 4/6 = 7/6

Step-by-step explanation:

1/2 would be 3/6 so add 4/6 would be 7/6 uwu.

Hope this helps :)) Plz mark brainliest :))

-8x=-64

find the variable

Answers

X is equal to 8 because -64/-8

Answer:

x=8

Step-by-step explanation:

8x/8 =64/8

x=2 6/2 3

x=2 6-3

x=2 3

x=8

Swimming Pool On a certain hot summer's day, 236 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $525.00. How many children and how many adults swam at the public pool that day?

Answers

Answer:

Step-by-step explanation:

[tex]a+c=236\\ \\ a=236-c\\ \\ 1.5c+2.5a=525\\ \\ 1.5c+2.5(236-c)=525\\ \\ 1.5c-2.5c+590=525\\ \\ -c=-65\\ \\ c=65\\ \\ a=236-65\\ \\ a=171\\ \\ \text{So there were 171 adults and 65 children at the pool that day.}[/tex]

The distance from Jason's house to school is 0.2 kilometer. What is this distance in meters?

Answers

Answer:

200 Meters!

Step-by-step explanation:

Answer:

200 m

Step-by-step explanation:

Distance from Jason's house to school = 0.2 kilometers

Converting into metres

0.2 km = 0.2 * 1000 m = 200 m

Hope it will help :)

Find the product (4x - 3y)3

Answers

Answer:

12x - 9y

Step-by-step explanation:

According to the distributive property:

3(4x - 3y) =

3*4x - 3*3y =

12x - 9y

Answer:

12x - 9y you can't subtract different variables so multiply by them both by the left over constant and get the expression of 12x - 9y

Step-by-step explanation:

[tex]\sqrt{(-81)x^{2} }[/tex]

Answers

Answer:

We conclude that:

[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]

Step-by-step explanation:

Given the radical expression

[tex]\sqrt{\left(-81\right)x^2}[/tex]

simplifying the expression

[tex]\sqrt{\left(-81\right)x^2}[/tex]

Remove parentheses:  (-a) = -a

[tex]\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}[/tex]

Apply radical rule:   [tex]\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                 [tex]=\sqrt{-1}\sqrt{81x^2}[/tex]

Apply imaginary number rule:  [tex]\sqrt{-1}=i[/tex]

                 [tex]=i\sqrt{81x^2}[/tex]

Apply radical rule:   [tex]\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

                  [tex]=\sqrt{81}i\sqrt{x^2}[/tex]

                  [tex]=9i\sqrt{x^2}[/tex]

Apply radical rule:  [tex]\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=9ix[/tex]

Therefore, we conclude that:

[tex]\sqrt{\left(-81\right)x^2}=9ix[/tex]


SOMEONE PLEASE HELP ME !

Answers

y=mx+b
m=20 (slope)
b=10 (y-int)
equation= y=20x+10

(2^5 x 3^6) / (2^3 x 3^4)

Answers

Answer:

36

Step-by-step explanation:

(2^5 x 3^6) = 23328

(2^3 x 3^4)= 648

(23328/648) = 36

Answer:

36 will be your answer

Step-by-step explanation:

Hope this helped! :)

Which two points on the number line are the same distance from 0?

Answers

Answer:

D. E and D

Ive learned this and im 100 percent sure its D

Answer:

its E and D

Step-by-step explanation:

they're both 5 away from 0

Um plz help me!!!!
I will give brainliest

Answers

Answer:

15, 30, 45

Hope this helps.

Answer:

15,30,45

Step-by-step explanation:

Hope this Helps!

:)

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