The ratio of black marbles to red marbles is 3:2. If there are a total of 25 marbles in a bag,
how
many
black marbles are in the bag?

Answers

Answer 1

Answer:

15 black marbles

Step-by-step explanation:

So its. A ratio (basically a fraction)

3/2

we add them up so we know how much marbles but not which kind

so we get 5

now we know for every 5 batches there is 3 black and 2 red

so we divide 25/5 to get 5

now we know there are 5, 5 batches of black ad red marbles.

now black is 3 of them so we multiply 5(3) which is 15

Now red is 2 of them so we multiply 5(2). Which is 10

now to check, if we add them up, they equal to 25 which is correct.

basically add the fraction, divide that by the original number, time the quotient by each number in the fraction.

Answer 2

Answer:

There are a total of 15 black marbles in the bag.

Step-by-step explanation:

Well, we know that for every 3 black marbles, there are 2 red marbles. In order to solve this problem, we just need to keep adding equivalent ratios with a proportional relationship until the sum of both numbers is 25.

3:2, 6:4, 9:6, 12:8, 15:10

Since 15 + 10 = 25, we can stop here.

Since the number in front of the colon is the amount of black marbles, then there are a total of 15 black marbles in the bag.

Hope this helps! :D


Related Questions

Need answers for 5 and 6 please it’s algebra math hurry please

Answers

i have some answers but not all of them lol so
5a) -2/3
5c) y = -2/3 + 2

6a) x intercept point is (4,0) and y intercept point is (0,2)
6b) -1/2
6c) im pretty sure it's y = -1/2 -2

If a number is not divisible by ​10, can it be divisible by ​20?

Answers

Answer:

no

Step-by-step explanation:

Answer:

No cannot

Step-by-step explanation:

Elena has $80 in a savings account. The interest rate is 5% per year and 1 point
is not compounded. How much Interest will she have in 2 years?

Answers

Don’t know just need points

The carter family budgets a total of 2,700 for a ski vacation in Colorado if they plan to go spend 275$ per day and 1,000 on meals about how many days n can the carter family go on vacation ?

Answers

Answer:

275n + 1000 = 2700

They will go 6 days on vacation.

Step-by-step explanation:

Given that the Carter family wants to go on vacation with a budget of $ 2700, of which $ 1000 will be used exclusively for food, and for each day of stay $ 275 will be spent, the formula to obtain the number of days they can spend on vacation is following:

1000 + 275n = 2700

275n = 2700 - 1000

n = 1700/275

n = 6.18

Therefore, with this amount, the Carters will be able to spend 6 days on vacation, and they will have money left over.

The ratio in the table for distance covered in meters to time taken in hours is constant
Distance Covered im
8
16
32
d
48
Time Taken ihr.
6
12 15 18
Let d = distance covered in 15 hr.
Let t = time taken to cover 8 m.
Which table shows the correct values for t and d?

Answers

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

How to determine the correct values for t and d?

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

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write -12 in a and b form

Answers

Answer:

whats ur question i dont understand

Step-by-step explanation:

idu

Answer:

thanks fOr the points

Step-by-step explanation:

explain how to evaluate f(g(0)).

Answers

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

Which is greater 0.745 or 7.45

Answers

Answer:

7.45

Step-by-step explanation:

BECAUSE .745 IS ONE PLACE VALUE LOWER

CAN I HAVE BRAINLIEST PLEASE

54 ÷ 6 x (12-4) + 2 =​

Answers

Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9[tex]\frac{1}{3}[/tex]

x=(n-2)/8

y=74[tex]\frac{2}{3}[/tex]

y=n-2=a

a=72[tex]\frac{2}{3}[/tex]

Evaluate the expression 3x2+5y for x = 4 and y = 2.
I need this answer ASAP

Answers

11 Becuase 3x2 is 6 + 5 =11 thank you

Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet. A rectangle labeled 2 x squared + x minus 6 Which expressions can represent the length and width of the garden? length = x2 – 3 feet; width = 2 feet length = 2x + 3 feet; width = x – 2 feet length = 2x + 2 feet; width = x – 3 feet length = 2x – 3 feet; width = x + 2 feet

Answers

D is the correct answer!

Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!

The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

Area of a rectanglearea = lw

where

l = length

w = width

Therefore,

area = 2x² + x – 6

Let's factorise

2x²- 3x + 4x - 6

x(2x - 3) + 2(2x - 3)

Therefore,

(x + 2)(2x - 3)

Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

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Express the area of the entire rectangle

Answers

Answer:

21x^4+56x^3+49x^2

Step-by-step explanation:

You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3

Write an equation of a line that passes through the point (-5,5) and is parallel to the line y=(-3/5)x-3

Answers

Answer:

[tex]\displaystyle y=-\frac{3}{5}x+2[/tex]

Step-by-step explanation:

We want to wite the equation of a line that is parallel to:

[tex]\displaystyle y=-\frac{3}{5}x-3[/tex]

And passes through the point (-5, 5).

First, remember that parallel lines have the same slope.

Therefore, since the slope of the original line is -3/5, the slope of our new line is also -3/5.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -3/5 for m and (-5, 5) for (x₁, y₁). This yields:

[tex]\displaystyle y-5=-\frac{3}{5}(x-(-5))[/tex]

Simplify:

[tex]\displaystyle y-5=-\frac{3}{5}(x+5)[/tex]

Distribute:

[tex]\displaystyle y-5=-\frac{3}{5}x-3[/tex]

Add 5 to both sides. Hence, our equation is:

[tex]\displaystyle y=-\frac{3}{5}x+2[/tex]

The two triangles are similar.
Solve for h.
Give an exact answer.

Answers

Answer:

[tex]\frac{1}{1.6} = \frac{h}{7.2}[/tex]  ( since they're similar, they are proportional to each other)

1 (7.2) = h (1.6) (set the two up as a proportion and then cross multiply)

7.2 = 1.6h (divide both sides by 1.6)

h = 4.5 m (this is the answer)

Step-by-step explanation:

Your uncle purchases a $25,000 car this year. The car depreciates in value by 20% per year.

a) Write an exponential equation for the value of the car.

b) Use your equation to find the value of the car in 10 years.

c) When will the car be worth $10,000? Solve an equation with logarithms and show your work.

Answers

Answer:

b

Step-by-step explanation:

5. Which of the following graphs represents the slope of -1/3

Answers

Answer:

A

Step-by-step explanation:

I found out bc I got the answer wrong then it gave me the right answer which is A:)

35.408 in expanded form

Answers

Answer:

30+5+0.4+0.00+0.008

I hoped this helped u :)

Step-by-step explanation:

Answer:

30 + 5 +.4 + .008

Step-by-step explanation:

Didn't see a comma so I'm assuming you wanted as decimal, if I messed up tell me it's late I'm not thinking the best rn.

Which equation represents the rental cost of the company with the least expensive hourly rate?

Answers

Answer:

c. y = 2x + 4

Step-by-step explanation:

Hope you got it.

Rusty hiked 3 3/4 miles in the morning and 2 1/4 miles in the afternoon. How much
farther did he hike in the morning than the afternoon?

Answers

Answer:

1 [tex]\frac{1}{2}[/tex] miles

Step-by-step explanation:

Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions

Subtract them like a regualr equation

[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]

Convert  [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.
How long was each descent by meters

Answers

Answer:

Each decent was 500 meters

Step-by-step explanation:

I found the slope

Each decent was 500 meters.

What is the Slope?

The slope is a line that defines the direction and the steepness. Slope is defined in many ways. Slope is also equal to tanQ additionally, slope = dy/dx

How to determine?

Finding the slope :

8000/1600=5

1000/200=5.

Each decent was 500 meters.

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Which statements are true about ABCD? Select all that apply.
A ZABC=CDA
B.BD I AC
C.BE=ED
D. m2ABC + m2BCD = 180°
E. AB=CD

Answers

Your answer is....E!

Statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The two opposing sides are equal and parallel. The opposing angles line up evenly. The following or neighboring angles are extra. Every angle will be at a right angle if one of the other angles is even.

A parallelogram has equal opposite angles (or congruent) Angles that are next to one another are said to be consecutive (that means they add up to 180 degrees)

The true identities are,

AB=CD

m∠ABC + m∠BCD = 180°

Thus, statements D and E are true about ABCD.m∠ABC + m∠BCD = 180° and AB=CD.

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send helpppppppppppp

Answers

Answer:

right bottom

Step-by-step explanation:

The speed limit on a highway is 70 miles per hour. About how fast is this in miles per minute?
(A) 4.200 mi/min
B) 11.7 mi/min
C 1.17 mi/min
D 0.117 mi/min

Answers

Answer:

The answer is C

Step-by-step explanation:

70 miles            1 hour                   70mh

_______ x    ________       =     _______   = 1.17min

1  hour            60 mh                       60mh

It is known that a particular laboratory task takes the average person 2.5 seconds. A researcher was interested in whether older people are slower (take longer) on this task. The researcher tested 30 randomly selected 80-year-olds. Their meantime was 2.7 seconds, with an estimated population standard deviation of 1.4 seconds. What should the researcher conclude (use the .05 level)?

Answers

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Step-by-step explanation:

From the question we are told that  

    The average time taken is  [tex]\mu = 2.5 \ seconds[/tex]

      The  sample size is  [tex]n = 30[/tex]

     The sample mean is  [tex]\= x = 2.7 \ seconds[/tex]

      The standard deviation is  [tex]\sigma = 1.4 \ seconds[/tex]

The null hypothesis is  [tex]H_o: \mu = 2.5[/tex]

The alternative hypothesis  is  [tex]H_a : \mu > 2.5 \ seconds[/tex]

Generally the test statistics is mathematically represented as

                [tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>              [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]

=>              [tex]z = 0.7825[/tex]

From the z table  the area under the normal curve to the right corresponding to  0.7825   is  

                [tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]

So from the question we see that the [tex]p-value > \alpha[/tex] hence

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Which expression is equivalent to 2(3x+4)(x−1)(x−3)?

A
6x3−16x2−14x+24

B
6x3−4x2−34x−24

C
3x3−8x2−7x+12

D
6x3+20x2−2x−24

Answers

Answer:

A

Step-by-step explanation:

=(2(3x+4)(x−1))(x+−3)

=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)

=6x3+2x2−8x−18x2−6x+24

=6x3−16x2−14x+24

After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given expression in the question,

2(3x+4) (x−1) (x−3)

(6x + 8) (x² -3x - x + 3)

6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24

Now, collect similar terms and add them,

6x³ - 16x² - 14x + 24

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8. A skateboard ramp is 5ft tall and is 12ft from the base of the ramp to the end. What is the length from the top of the ramp to the end?

Answers

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

Which ratio of the lines' slopes equals 1/2



Answers

Answer:

[tex]\frac{a}{b}[/tex]

Step-by-step explanation:

For this problem, if we really wanted to be precise, we could go through and do the slope equation for all of the lines. However, this graph is clear enough that we can just count the points.

On line A, we can just follow the line and see that the slope is -1 because each point goes down 1 and over 1.

Line B has a slope of -2. It goes down 2 and over 1.

Line C has a slope of 2; up 2 and over 1.

If we look at our three slopes, -1, -2, and 2, we can see that the only way for the ratio to be 1/2 is for line A over line B. This is because a negative over a negative is a positive.

Hope this helps!

ASAP PLS HELP DUE TODAY. WILL GIVE BRAINLIEST IF A GOOD ANSWER EXPLENATION AND CORRECT ANSWER

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line.

Select one:

a.
7 + (−8)
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.


b.
7 + 8
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.


c.
7 − (−8)
An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.


d.
8 − 7
An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.

Answers

Answer:

[tex]7 + (-8)[/tex]

Step-by-step explanation:

Given

[tex]7 - 8[/tex]

(a): Write as additive inverse.

An additive inverse is of the form a + (-b)

In this case:

[tex]a = 7[/tex]

[tex]b = -8[/tex]

So, the expression can be represented as:

[tex]7 + (-8)[/tex]

(b): Number line representation

When the expression in (a) is solved.

The result is:

[tex]7 - 8 = 7 + (-8) = -1[/tex]

This means that the number line must accommodate 7 and -1.

Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.

Option (d) is a wrong representation of [tex]7 - 8[/tex]

Hence, (a) is correct

Marshall is choosing an outfit to wear on Friday night he has four choices for his shirt two choices for his pants and three choices for his shoes how many different outfits can Marshall make

Answers

Answer:

6

Step-by-step explanation:

hehdhrhrhrhrbrhhffh

A parallelogram with sides s and t has perimeter 2s+2t. Kelly is decorating the edge of her parallelogram-shaped craft table. The tabletop has sides that are 30 inches and 14.5 inches.
What is the perimeter of the tabletop?

Answers

Answer:

what grade  so i can help

Step-by-step explanation:

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