There are two red jars of marbles and one blue jar of marbles. Jars of a certain color have the same number of marbles in them. There are 30 marbles in total. The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. Find the number of marbles in each type of jar.

Answers

Answer 1

Answer:

There are 14 marbles in each red jar and 2 marbles in the blue jar

Step-by-step explanation:

There are two red jars of marbles and one blue jar of marbles.

Let the number of marbles in the red jar be x.

Let the number of marbles in the blue jar be y.

There are 30 marbles in total. This means that:

2x + y = 30 _____________ (1)

The difference between the number of marbles in a red jar and the number of marbles in a blue jar is 12. This means that:

x - y = 12 ______________(2)

We have a system of simultaneous equations:

2x + y = 30 _____________ (1)

x - y = 12 ______________(2)

Add them together:

3x = 42

=> x = 42/3= 14

Put the value of x in (2)

14 - y = 12

=> y = 14 - 12 = 2

Therefore, there are 14 marbles in each red jar and 2 marbles in the blue jar.


Related Questions

George used the diagram below to help determine 30% of 60. Which expression could George have used?

Answers

Answer:

(3)(6)

Step-by-step explanation:

1st. Find the answer(60*30%=18)

2nd. Find the option that equals 18 which was (3)(6)

Basically, for all of questions that ask for a different way to express it, multiply the total amount by the percentage(or decimal/fraction) and find the other expression with the same answer.

Answer:

(3)(6)

Step-by-step explanation:

i did the test

Find the value of. (3° + 4 -¹) × 2²

Answers

Answer:

[tex]5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

write the equation in vertex form: Vertex is (1.-3) and passes through the point (-1,5)

Answers

Answer:

y = 2(x - 1)² - 3

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, - 3), thus

y = a(x - 1)² - 3

To find a substitute (- 1, 5) into the equation

5 = a(- 1 - 1)² - 3

5 = (- 2)²a - 3 ( add 3 to both sides )

8 = 4a ( divide both sides by 4 )

a = 2

Thus

y = 2(x - 1)² - 3 ← in vertex form


Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?

Answers

Answer:

Figure A and B are still congruent to each other. the only change is the size of the shape.

Step-by-step explanation:

Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Suppose figure A underwent a dilation to produce figure B.

Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size

if Dilation factor  N then image Size is multiplied  by  N

if Scale factor  < 1 then image get reduced

if scale factor > 1  then image get enlarged

scale factor = 1 lead to Same size image

Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ6

How can I Simplify -(x+5)+3x

Answers

Answer:

2x - 5

Step-by-step explanation:

Distribute the negative sign outside of the parentheses first to get

-x -5 + 3x

Combine like terms

= 2x - 5

Answer:

2x-5

Step-by-step explanation:

=-(x+5)+3x

=-x-5+3x  opening brackets

=-x+3x-5

=2x-5

what is the meaning of the word 'coplanar'

Answers

Answer:

It means in the same plane

Circle O has a circumference of approximately 2507 ft.
What is the approximate length of the diameter, d?
40 ft
80 ft
125 ft
o
250 ft

Answers

Answer:

80 ft (b)

Hope it helps

Step-by-step explanation:

Circumference= π * diameter

Since the circumference is given..

250 = πd

d = 250/π

= 250/3.14

= 79.6

= 80 feet approx

What are two other words used for hypotenuse

Answers

Answer:

solo la conosco como ipotenuza

Step-by-step explanation:

Answer:

flank right-angled triangle right triangle

Step-by-step explanation:

A recipe uses cup of brown sugar to make 18 cookies. How many cups of brown sugar are needed to make 45 cookies?

Answers

Answer:

2 and half

Step-by-step explanation:

Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle
Identities.

Answers

Answer:

8sin(x)cos³(x)

Step-by-step explanation:

sin(4x) +2 sin(2x)  = 2sin(2x)*cos(2x) + 2sin(2x) = 2sin(2x)(cos2x + 1)=

= 2sin(2x)(cos²x - sin²x + cos²x + sin²x)=²2sin(2x)*(2cos²x)=

= 4*2sin(x)*cos(x)*cos²(x)= 8sin(x)cos³(x)

I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

Using Ratios to Solve Problems - Item 1457 Question 4 of 7 Evan's family drove to a theme park for vacation. They drove the same speed throughout the trip. The first day, they drove 300 300 miles in 6 6 hours. The second day, they drove 250 250 miles in 5 5 hours. The third day, they arrived at the park after driving for 3 3 hours. How many miles did they drive on the third day?

Answers

Answer:

150 miles

distance travelled on the third day = 150 miles

Step-by-step explanation:

Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;

For the first day

distance = 300 miles

time = 6 hours

Speed = distance/time

Speed = 300/6 = 50 mph

on the third day;

time = 3 hours

Speed = speed on first day = 50 mph

distance = speed × time

distance = 50 mph × 3 hours

distance = 150 miles

distance travelled on the third day = 150 miles

if a man walks for 6 miles at a steady speed of 3 mph how long will it take him

Answers

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

The two triangles below are similar. What is the similarity ratio of AABC to ADEF? (5 points)
2:1
1:2
2:5
5:2​

Answers

The ratio from ABC to DEF is 2:1

Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?

a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x

Answers

Answer:

400

Step-by-step explanation:

5=4=78+400

Answer: f(x)=400(1.1)^x

Step-by-step explanation:

Evaluate and Solve 6x + 4 > 7

Answers

Answer:

x>1/2

Step-by-step explanation:

6x>3

x>1/2

Answer:

X>1/2

Step-by-step explanation:

6x + 4> 7

-4 on each side

6x > 3

Divide 6 on each side

X>1/2

Hope this helps plz mark brainliest!

Given the points (-2,-4) and (-3,-5) what is the slope

Answers

Answer:

1/1

Step-by-step explanation:

41 points. What is the range of this data set? 2.1, 2.6, 7.2, 5.5, 4.1, 5.5, 7.5, 6.1 A. 5.1 B. 5.5 C. 5.4 D. 7.5

Answers

Answer:

C. 5.4

Step-by-step explanation:

Range means highest number minus lowest number.

7.5 - 2.1 = 5.4

[tex]answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

What is the length of the leg of a right triangle if one leg is 4 and the hypotenuse is 5?

a.25
b.3
c.16
d.9

Answers

Answer: B. 3

Step-by-step explanation:

4^2 + b^2 =5^2

16 + b^2= 25

-16            -16

b^2 = 9

[tex]\sqrt{9} =3[/tex]  

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 A

2 A

Step-by-step explanation:

1. steps can be positive whole numbers only

2. there is 15 steps

A jet flies from New York to Los Angeles , a distance of 2,450 miles, and then flies back. The speed from NY to LA was 140 mph faster than the speed from LA to NYIf the total time in the air was 12 hours, what was the jet's speed from NY to LA?

Answers

Answer:

Speed from NY to LA is 172 mph

Step-by-step explanation:

Let the jet’s speed from NY to LA be x mph.The speed form NY to LA would be (x-140) mph

Mathematically, we know that distance = speed * time

The total speed will x + x -140 = 2x-140

Now;

12(2x-140) = 2450

24x - 1680 = 2450

24x = 2450 + 1680

24x = 4130

x = 4130/24

x = 172.1 which is approximately 172 mph

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer & Step-by-step explanation:

The figure shown in the diagram is a square. Squares have equal lengths on all sides. So, in order to find out the side length, we will have to factor the area.

x² - 12x + 36

First, you will break down x² which will just be x and x. Since 12x is negative and 36 is positive, then we will use a minus sign.

(x - )(x - )

Now, we break down 36 which will be 6 and 6. After we do that, we will have our answer.

(x - 6)(x - 6)

So, the side length of the square is (x - 6) meters.

Volume of a triangular prism 4 cm 9 cm and 5 cm

Answers

Answer:

180 cm³

Step-by-step explanation:

Volume = base area x height

4x9x5

Answer:

180 cm^3

Step-by-step explanation:

Vol = base time height times length

4 times 9 times 5 = 180

how do we calculate on sixth of 42​

Answers

Answer:

1/6 of 42:

first, of is the same as multiplication so change this:

1/6 * 42

put 42 over 1 so they are both fractions:

1/6 * 42/1

Now solve:

42/6

= 7

:) brainliest?

(if u meant the sixth root of 42, it's about 1.86)

Answer:

7

Step-by-step explanation:

42/6=7

L+S = 17 3L + 2S=46
Please show your work

Answers

Answer:

S= 5, L= 12

Step-by-step explanation:

To find the value of L and S, we need to first label the 2 equations.

L +S= 17 -----(1)

3L +2S= 46 -----(2)

From (1):

L= 17 -S -----(3) (-S on both sides)

Subst. (3) into (2):

3(17-S) +2S= 46

3(17) -3S +2S= 46 (expand)

51 -S= 46

-S= 46 -51 (-51 on both sides)

-S= -5

S= 5 (divide by -1 throughout)

Subst. S=5 into (3):

L= 17 -5

L= 12

I attached the picture for this question

Answers

Answer: B or c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

g and h are supplementary angles meaning that they add up to 180.

Therefore what you have to do is do 180-g.

Since g equals 117, you do 180-117=63

help please, i will mark brainliest

Answers

Answer:

40

Step-by-step explanation:

We can see that at 1 minute there is 40 beats, at 2 minutes there is 80 beats, at 3 minutes there is 120 beats, at 4 minutes there is 160 beats and at 5 minutes there is 200 beats. If we divide each of the beats by its corresponding minute we will get 40

40 beats at 1 minute → 40 ÷ 1 = 40

80 beats at 2 minutes → 80 ÷ 2 = 40

120 beats at 3 minutes → 120 ÷ 3 = 40

160 beats at 4 minutes → 160 ÷ 4 = 40

200 beats at 5 minutes → 200 ÷ 5 = 40

Pls help!! ASAP!!!!

Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:

A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)

Figure ABCD is similar to figure A′B′C′D′.
Figure ABCD is bigger than figure A′B′C′D′.
The measure of angle D is equal to the measure of angle A′.
The measure of angle D is equal to the measure of angle B′.

Answers

Figure A’B’c’d is equal to the measure of angle A

Which of these is an equation? 8t+4=76 8t+4 8z 8+4

Answers

Answer:

8t+4=76

Step-by-step explanation:

An equation needs an equals sign otherwise it is an expression

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