The ratio of the number of red balls to yellow balls in a bag is 4:5. There are 270 balls in
the bag. Which statement is TRUE?​

Answers

Answer 1

Answer:The ratio of the number of red balls to yellow balls in a bag is 4:5 there are 270 balls in the bag

Step-by-step explanation:

Answer 2

As per linear equation, there are 120 red balls and 150 yellow balls in the bag.

What is a linear equation?

A linear equation is an equation that has one or multiple variables with the highest power of the variable is 1.

Given, the ratio of the number of red balls to yellow balls in a bag is 4:5. There are 270 balls in the bag.

Let, there are 4x red balls in the bag.

Therefore, there are 5x yellow balls in the bag.

Now, (4x + 5x) = 270

⇒ 9x = 270

⇒ x = 270/9

⇒ x = 30

The number of red balls = 4x = 4 × 30 = 120.

The number of yellow balls = 5x = 5 × 30 = 150.

Learn more about linear equation here: https://brainly.com/question/15898506

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Related Questions

An item is regularly priced at $85. It is on sale for 40% off the regular price. How much in dollars) is discounted from the regular price?

Answers

Answer:

34 dollars were discounted

Step-by-step explanation

40  percent of 85 is 34

85 x .40 = $35 off the regular price

maeve has 2 cubic meters of soil does she have enough to fill a garden bed with the dimmension 4m by 2 m by 30 cm

Answers

Answer:

no

Step-by-step explanation:

cause she will need (4 x 2) X 30

The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n) the term in the sequence. The function represents the sequence.
ANSWER IS: f(n)= -3n +23

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

  f(n) = -3n + 23

Step-by-step explanation:

Just got it right on EDG.

Find the scale factor from Triangle ABC to Triangle DEF.

Answers

Answer:

The ratio of any two corresponding lengths in two similar geometric figures.

Step-by-step explanation:

You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.

If you divide the length of DE by the length of AB:

a^2/a =a.

You get a scale factor of “a”

Write the fve-number summary for each set of data

Answers

Answer:

Step-by-step explanation:

first arrange the data from ascending to decending order

1,5,8,10,11,14,17,19,20,23

Q1=(N+1)/4

=(10+1)/4

=11/4

=2.75

=2 nd item+(3 rd -2 nd)term

=5+(8-5)

=5+3

=8

Q2=(N+1)/2

=(10+1)/2

=11/2

=5.5 term

=(5 th term+6 th term)

=(11+14)/2

=25/2

=12.5

Q3=3(N+1)/4

=3(10+1)/4

=3*11/4

=33/4

=8.25

=8 th term +(9 th -8 th )term

=19+(20-19)

=19+1

=20

A truck is traveling at a constant speed. The diagram represents the truck's distance and time. What is the speed of the truck?

Answers

Answer:

distance divided by time

Step-by-step explanation:

distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.

this is the question ​

Answers

Answer:

Step-by-step explanation:

From her eye, which stands 1.69 meters above the ground, Penelope measures the angle of elevation to the top of a prominent skyscraper to be 16∘. If she is standing at a horizontal distance of 200 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.​

Answers

Answer: 59.04

Step-by-step explanation:

tan 16= x/200

tan16/1=x/200  

200 tan 16=x  

x=57.349077...

x=57.349077...

Add 1.69, the distance from the ground to her eye:

57.349077...+1.69= 59.039077...

≈   The skyscraper is 59.04 meters tall.

You can use right triangles to get the height of the skyscraper.

The height of the skyscraper is 59.04 meters approximately.

What is angle of elevation?

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It  is measured from the horizontal line DC.

How to use right triangles to find the height of the specified sky scrapper?

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

Since the distance from the base of the building is given and the angle of elevation is given, we have enough data to construct a specific right triangle where the vertical line opposite to the angle of elevation is of the measure of the height of the building.

And then we can use tangent ratio which relates perpendicular and base to the considered angle.

Remember that trigonometric ratios are defined for right triangles only(those triangles who have one of the angle as of 90 degrees).

See the diagram attached below, where the length AE is the building's height. AD is same as CB which is height of Penelope(a person who is watching the top of that given skyscraper).

For the right angle triangle EDC, and for the angle considered ∠ECD, we have the perpendicular as side opposite to the angle ∠ECD which is ED and the base is DC. Thus, the tangent ratio of ∠ECD is given by

[tex]tan(\angle ECD) = \dfrac{Perpendicular \: to \: \angle ECD}{Base \: to \: \angle ECD } = \dfrac{ED}{DC} = \dfrac{h - 1.69}{200}\\tan(16^\circ) = \dfrac{h - 1.69}{200}\\[/tex]

DC = AB and DA = CB because of ABCD being a rectangle because of building and person both standing vertical to the ground and the line DC being parallel to the ground, thus all angles being right angle(of 90 degrees).

From the calculator, the value of tan(16°) is approx 0.2867

Thus, putting this value in the obtained equation, we get:

[tex]tan(16^\circ) = \dfrac{h - 1.69}{200}\\0.2867 = \dfrac{h-1.69}{200}\\\\0.2867 \times 200 = h - 1.69 \\57.35 + 1.69 = h\\h = 59.04 \: \rm meters[/tex]

Thus, the height of the specified skyscraper is  approx 59.04 meters.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

Do the ratios 4:18 and 2:9 form a proportion?
yes
no

Answers

Answer:

Yes.  A propotion is to check if two things are equivelent.  The ratios 4:18 and 2:9 are equivelent.

Which equation is correct?
please help me :((

Answers

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Alright, I am getting annoying at this point but who can help me with this one?

Answers

Answer:

A

Step-by-step explanation:

F(x) = 4x^2 + 1

G(x) = x^2 - 5

(F-G)(x) = (4x^2+1 - x^2-5)

collect like terms

(F-G)(x) = (4x^2-x^2 + 1-5)

= (3x^2 - 4)

Help with these two questions

Answers

Answer:

11. = D) x is greater than or equal to -1

12. = A) x is less than -2

Step-by-step explanation:

Answer:

11. -1 ≤ x

or

x ≥ -1, D

Because it is starting at -1, and the arrow is pointing up showing that x is greater than. BUT the circle is not hallow and is filled meaning that is is greater than, OR EQUAL TOO.

12. X < -2, A

Because it is starting at -2 and is going down showing that -2 is greater, and since the circle is hallow it just means X is less than NOT OR EQUAL TOO.

How many yards are in 18 feet?

Answers

Answer:

it is 6 yards

Step-by-step explanation:

since 1 yard is equal to 3 feet, 18 feet divided by 3 is 6

hope this helped :D

solve y= -2^(-x-3)= -4​

Answers

Y= -4

Hope that help

HELP!!! ME!!!! PLEZ!!!

Answers

Answer:

option 2, because g-h and j -k is congruent

The results of a national survey showed that on average, adults sleep hours per night. Suppose that the standard deviation is hours. Round your answers to the nearest whole number. a. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between and hours. At least b. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between and hours. At least c. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between and hours per day. At least

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

what is the surface area?

Answers

Answer:

30.

3×4=12

12×5=60

60÷2=30

Which of the following is a factor of x3 + 2x2 - 25x – 50?

Answers

Answer:

(x - 5)(x + 2)(x + 5)

Step-by-step explanation:

x³ + 2x² - 25x - 50

x³ + 7x² - 5x² - 35x + 10x - 50

x(x² + 7x + 10) - 5(x² + 7x + 10)

(x - 5)(x² + 7x + 10)

(x - 5)(x² + 2x + 5x + 10)

(x - 5)(x(x + 2) + 5(x + 2))

(x - 5)(x + 2)(x + 5)

determine the equation of the line with slope 3/4 passing through the point 4,0

Answers

Answer:

[tex]y = \frac{3}{4}x - 3[/tex]

Step-by-step explanation:

If it has a slope of 3/4, then it will look like this:

[tex]y = \frac{3}{4}x + b[/tex]

If it passes through (4, 0), than y = 0 when x = 4

[tex]y = \frac{3}{4}(4) + b[/tex]

[tex]y = 3 + b[/tex]

[tex]b = -3[/tex]

Therefore, the equation is [tex]y = \frac{3}{4}x - 3[/tex].

Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.

Answers

Answer:

3

Step-by-step explanation:

How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi

Number of times = volume of tank /volume of cylinder

volume of cylinder = πr²h

3.14 x 5² x 20 = 1570

4710 /  1570 = 3 times

what is the answer to this?

Answers

Answer:

I think n = 7

Step-by-step explanation:

I might be wrong but I looked carefully and I think n is 7.

Answer:

the answer is n=7 so it

Step-by-step explanation:

is7

Find the volume of this cylinder.
Round to the nearest tenth.
17 ft
8ft
[ ? ) ft3
Enter

Answers

Answer:

The answer is 3418.1 ft rounded to the nearest tenth.

Step-by-step explanation:

The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.

The area of the circular base can be calculated as

[tex]\pi \times {r}^{2} [/tex]

where r is the radius of the circular base, which is 8 ft.

The area of the circular base is

[tex]\pi \times {8}^{2} = 64\pi[/tex]

We also know the height of the cylinder is 17 ft.

Hence, the volume of the cylinder is

[tex]64\pi \times 17 = 1088\pi = 3418.0528...[/tex]

This will be rounded up to 3418.1 with the nearest tenth

Does anyone know how to solve this?

Answers

Answer:

Perimeter = AB + AC + BC = 26.55 units

Step-by-step explanation:

The perimeter of a triangle is the sum of lengths of all sides.

Here we have a right triangle, right-angled at C

angle B = 46°

AB = 11

We continue to calculate

AC = (11)sin(46°) = 7.91

BC = (11)cos(46°) = 7.64

Perimeter = AB + AC + BC = 26.55 units

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
2
3
4
5

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The fractions involved are 3/4, 1/2, 1/4. These have a least common denominator of 4. All of the fractions can be eliminated by multiplying the equation by 4.

  -3/4m -1/2 = 2 +1/4m . . . . . . given

  -3m -2 = 8 + m . . . . . . . . . . . multiply by 4 (eliminates fractions)

  -10 = 4m . . . . . . . . . . . . . . . . add 3m-8

  -5/2 = m . . . . . . . . . . . . . . . . divide by 4

__

Check

  -3/4(-5/2) -1/2 = 2 + 1/4(-5/2)

  15/8 -4/8 = 16/8 -5/8

  11/8 = 11/8 . . . . . answer checks OK

8. Given the radius and area of the circle, calculate the angle at the centre of the circle.
Radius
Area of sector
14 cm
18.48 cm
(b)
21 m
27.72 m
(c)
8.4 cm
15.4 cm​

Answers

The answer is c for this problem

1⁄2 × 1⁄5 =

help//.....

Answers

Answer:

1/10

Step-by-step explanation:

1/2 * 1/5

Multiply the numerators

1*1 = 1

Multiply the denominators

2*5 =10

Numerator over denominator

1/10

Answer:

1/10

Step-by-step explanation:

multiply the numerators and denominators separately

1×1/2×5

any expression multiplied by 1 remains the same

1/2×5

2×5=10

1×1=1

1/10

can someone help me solve this.​

Answers

Answer:

equilateral:  E

scalene:  F

isosceles:  G

Step-by-step explanation:

equilateral = all sides are equal

scalene = no sides are equal

isosceles = two sides are equal

Find the sum of the first 36 terms of the following series, to the nearest integer. 13, 19,25,...

Answers

Answer:

223?

Step-by-step explanation:

6n +7 (nth term)

(6*36)+7 = 223

4x + 8y = 24 y = -1 2 x + 5

Answers

32y + 5 - 8x

always combine the letters and subtract or add them together

Answer:the answer to this is 16x -16y=5.

step by step explanation:.

4x+8y=24y=-12x+5

= 4x+13x+8y-24y=5.

16x - 16y =5.

Helen rented a kayak at the lake. There is a charge of $10 as an initial fee and then $2 an hour for every hour that she uses the kayak. If the total charge is $22 , how many hours did she kayak?

Answers

Answer:

She kayaked for 6 hours.

Step-by-step explanation:

If $10 is the initial fee, subtract $22 - $10 = $12.

If it charges $2 per hour, divide $12 by $2 which equals 6 hours.

Answer:

6 hours

Step-by-step explanation:

Cost = fee + charge per hour * number of hours

22 = 10 +2h

Subtract 10 from each side

22-10 = 10+2h-10

12 = 2h

Divide

12/2 = 2h/2

6 = h

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