All categories

3 years ago

Fill in the blanks.

Mathematics

1 answer:

nadya68 [22]3 years ago

8 0

Answer:

Benny would have 1/3y CDs.

Step-by-step explanation:

In order to find this, we know that Richard has 3 times the amount of CDs Benny does. Therefore, conversely, we must know that Benny has 1/3 of the CDs that Richard does. Knowing that Richard has y CDs allows us to model the amount for Benny as 1/3y.

branlist please

You might be interested in

A circular plate has circumference 16.3 inches. What is the area of this plate? Use 3.14 for pi.

serg [7]

Answer:

C = 2πr = 16.3

2(3.14)r = 16.3

r = 16.3/6.28

r = 2.5955414

Area: A = πr2

A = 3.14(2.5955414)2

A = 21.15366242 $in^{2}$

Step-by-step explanation:

The answer would be 21.2 $in^{2}$

6 0

3 years ago

A collection of dimes and quarters is worth $10.45. There are 70 coins in all. Find how many of each there are

Advocard [28]

There are 47 dimes and 23 quarters.

Step-by-step explanation:

Total amount = $10.45 = 10.45*100 = 1045 cents

Total coins = 70

1 dime = 10 cents

1 quarter = 25 cents

Let,

Dimes = x

Quarters = y

According to given statement;

x+y=70 Eqn 1

10x+25y=1045 Eqn 2

Multiplying Eqn 1 by 10;

$10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345$

Dividing both sides by 15;

$\frac{15y}{15}=\frac{345}{15}\\y=23$

Putting y=23 in Eqn 1

$x+23=70\\x=70-23\\x=47$

There are 47 dimes and 23 quarters.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

The altitude of an object, d, can be modeled using the equation below. d=-16t^2+vh+h.where v is the initial velocity and h is th

finlep [7]

Answer:

The stone will be in flight for 3 seconds

Step-by-step explanation:

Given the equation;

d = -16t^2 + vt + h

Where;

v = the initial velocity

h = the initial height

Given;

v = 48 ft/s

h = 0

Substituting into function d;

d = -16t^2 + 48t + 0

d = -16t^2 + 48t

At the point of launch and the point of landing d = 0.

We need to calculate the values of t for d to be equal to zero.

d = -16t^2 + 48t = 0

-16t^2 + 48t = 0

Factorising, we have;

16(-t+3)t = 0

So,

t = 0 or -t+3 = 0

t= 0 or t =3

Change in t is;

∆t = t2 - t1 = 3 - 0

∆t = 3 seconds.

The stone will be in flight for 3 seconds.

6 0

3 years ago

What number divided by 3 gives 12 as the result? A. -36 B. -4 С. 4 D. 36

rodikova [14]

The answer is 36 all you do is divide the answer choices by 3 to get your answer

3 0

3 years ago

McNeal stands at the 40 degree angle and is trying to find the width of the river. McNeal knows she is 120 feet from the tree.

Kaylis [27]

Answer:

Our equation is:

$\displaystyle \sin(40^\circ)=\frac{w}{120}$

Solving this yields that the width of the river is about 77 feet.

Step-by-step explanation:

Part A)

We know that McNeal is 120 feet from the tree. This is the hypotenuse.

And we want to find the width of the river, which is the side opposite from our angle.

Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:

$\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}$

Our angle is 40°.

The opposite side is unknown. We can let this be w to represent width.

The hypotenuse is 120 feet. Hence, our equation is:

$\displaystyle \sin(40^\circ)=\frac{w}{120}$

Part B)

Solve for w:

$w=120\sin(40^\circ)$

Use a calculator:

$w=77.1345...\approx 77\text{ feet}$

The width of the river is about 77 feet.

5 0

2 years ago