David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.

Answer:

The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

The demand if the price is $ 8 per gallon is 160 millions of gallons.

Step-by-step explanation:

You know that the price-demand equation for gasoline is 0.3d + 4p = 80

To write demand d as a function of price p, you must solve for or isolate demand d, remembering that:

So:

0.3d + 4p = 80

0.3d = 80 - 4p

[tex]d=\frac{80 - 4p}{0.3}[/tex]

[tex]d=\frac{80}{0.3} -\frac{4p}{0.3}[/tex]

[tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]

To determine how much is the quantity demanded if the price is $ 8 per gallon, you simply plug that value into the previously determined expression and perform the corresponding calculations:

[tex]d=\frac{800}{3} -\frac{40*8}{3}[/tex]

[tex]d=\frac{800}{3} -\frac{320}{3}[/tex]

d= 160

The demand if the price is $ 8 per gallon is 160 millions of gallons.

Answer:

The two numbers are 32 and 60.

Step-by-step explanation:

We can create two simultaneous equations to solve this problem using the information given in the question.

Let number 1 = x

Let number 1 = y

x = y - 28 -> ( 1 )

x + y = 92 -> ( 2 )

We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier option.

Substitute ( 1 ) into ( 2 ):

x + y = 92 -> ( 2 )

( y - 28 ) + y = 92

2y - 28 = 92

2y = 120

y = 120 / 2

y = 60 -> ( 3 )

Substitute ( 3 ) into ( 1 ):

x = y - 28 -> ( 1 )

x = ( 60 ) - 28

x = 32

Therefore:

x = 32 , y = 60

Answer:

   x=[tex]\frac{y2 }{9}[/tex]

Step-by-step explanation:

2nd step: [tex]3\sqrt{x}=y[/tex]

third step: [tex]\frac{3\sqrt{x} }{3} = \frac{y}{3}[/tex]

fourth step: [tex]\sqrt{x} =\frac{y}{3}[/tex]

answer:    x=[tex]\frac{y2 }{9}[/tex]

Answer:

35.75

Step-by-step explanation:

6.5 times 5.50 = 35.75

or

5.50+5.50+5.50+5.50+5.50+5.50=35.75

Answer:

10 feet

Step-by-step explanation:

if it is 10 feet above and needs to touch the ground it needs to drop that same amount

Answer:

10ft.

Step-by-step explanation:

if the balloon is floating 10ft from the ground the it can only drop 10ft to reach the ground.

*hope this helps. please give me brainliest, i only need four more *

Answer:

The parabola [tex]y=x^{2}[/tex] at the points [tex](-2+\sqrt{17},21-4\sqrt{17})[/tex] and [tex](-2-\sqrt{17},21+4\sqrt{17})[/tex] when [tex]t=t_{1}=-4+\sqrt{17}[/tex] and [tex]t=t_{2}=-4-\sqrt{17}[/tex]

Step-by-step explanation:

We have the following line written in parametric form :

[tex]L(t)=(2+t,5-4t)[/tex] with [tex]t[/tex] ∈ IR.

In order to find the intersection between [tex]L(t)[/tex] and the parabola [tex]y=x^{2}[/tex] we know that ''[tex]2+t[/tex]'' is the x-coordinate of the line and ''[tex]5-4t[/tex]'' is the y-coordinate of the line. Now, to solve this problem we need to find the values of ''[tex]t[/tex]'' in which the intersection occurs. We can do this by replacing the components    ''[tex]x[/tex]'' and ''[tex]y[/tex]'' of [tex]L(t)[/tex] in the equation of the parabola ⇒

[tex]L(t)=(2+t,5-4t)[/tex] = ( x component , y component ) = ( x , y ) ⇒

In the parabola : [tex]y=x^{2}[/tex] ⇒ [tex]5-4t=(2+t)^{2}[/tex]

Solving the equation we find that :

[tex]t^{2}+8t-1=0[/tex]

Using the quadratic formula with

[tex]a=1[/tex] , [tex]b=8[/tex] and [tex]c=-1[/tex]

We find that the two possible values for t :

[tex]t_{1}=\frac{-b+\sqrt{b^{2}-4ac}}{2a}[/tex]     and  [tex]t_{2}=\frac{-b-\sqrt{b^{2}-4ac}}{2a}[/tex]

are [tex]t_{1}=-4+\sqrt{17}[/tex] and [tex]t_{2}=-4-\sqrt{17}[/tex]

This values [tex]t_{1}[/tex] and [tex]t_{2}[/tex] are the values of the parameter t where the line intersects the parabola so we can find the points by replacing the values of the parameter in the equation [tex]L(t)[/tex] :

[tex]L(t_{1})=(-2+\sqrt{17},21-4\sqrt{17})[/tex] and

[tex]L(t_{2})=(-2-\sqrt{17},21+4\sqrt{17})[/tex]

The final answer is

The parabola [tex]y=x^{2}[/tex] at the points [tex](-2+\sqrt{17},21-4\sqrt{17})[/tex] and [tex](-2-\sqrt{17},21+4\sqrt{17})[/tex] when [tex]t=t_{1}=-4+\sqrt{17}[/tex] and [tex]t=t_{2}=-4-\sqrt{17}[/tex]

Answer:

56

Step-by-step explanation:

Answer:

6000

Step-by-step explanation:

we dont know how many people are in each plane but based on the average it should be this

Answer:

"abscissa"

Step-by-step explanation:

The first number in an ordered pair of numbers in a coordinate system is generally called abscissa.

Answer:

x value is the correct answer

Step-by-step explanation:

I just took the test 2021 thank me later

Answer:

173.79

Step-by-step explanation:

173.89 - 0.1 you move to the decimals place then remove that number once

The number 173.79 is 0.1 less than 173.89

Two or more expressions with an Equal sign is called as Equation.

We need to find how less is 0.1 than 173.89

In words zero point one is less than One hundred seventy three point eight nine.

To find this we have to use subtraction operator or difference.

Subtraction is an operation that represents removal of objects from a collection

Subtract 0.1 from 173.89

173.89-0.1

We get 173.79

Hence, the number 173.79 is 0.1 less than 173.89

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

RT = 20

Step-by-step explanation:

Given that,

Point S lies on the line segment RT.

We have, ST = 3x-8, RT = 4x and RS = 4x-7

It is clear that, RT = RS+ST

Putting the values, we get :

4x = 4x-7 + 3x-8

Taking like terms together,

4x-4x-3x = -7-8

-3x = -15

x = 5

Put the value of x in RT = 4x.

So,

RT = 4(5)

RT = 20

Hence, length of RT = 20.

Answer:

80

Step-by-step explanation:

Answer:

if a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class

Step-by-step explanation:

Answer:(-2,2)

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

4 + 5(8-10)2

4 + 5(-2)2

4 + 10(-2)

4 - 20

-16

The answer is: 24

I assume this is a question from k12

  4 + 5(8 - 10)^2

  4 + 5(-2)^2

  4 + 5(4)

  4 + 20

= 24

Hope this helps ^^

Answer:

C

Step-by-step explanation:

Because the dolphin increases his elevation, the amount he increases is added to the original elevation to get the second elevation.

Therefore:

-16 3/4 + 5x = -5 1/4

This option is not in the options but if we rearrange the left side from

- 16 3/4 + 5x

to:

5x - 16 3/4

We get the last option C.

Hope this helped!

Answer:

−6y+24

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

parenthesis come first (PEMDAS)

2×8=16

2×3y=6y

9+16-6y-1

Add like terms

9+16=25

25-6y-1

Subtract like terms

25-1=24

-6y=24

Multiple each sides by using fractions

1/(-)6×24/1=4

Answer:

Here you go buddy.

21.406 in standard form

Answer:

21406 X 10^3

Answer:

Option (B)

Step-by-step explanation:

Sue's weight at the start of the year = 82 kg

Sue weighed herself at the end of every year, so that the straight line on the graph shows the gradual reduction in the weight every month.

Slope of the line will describe the reduction in the weight per month.

Let the two points on the given line are (1, 80) and (11, 60).

Slope of the line will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{60-80}{11-1}[/tex]

   = -2 kg per month

(Here minus sign denotes the reduction of weight per month)

Option (B) will be the answer.

Answer:

2 kg

Step-by-step explanation:

Answer:

The volume of the solid = 1444

Step-by-step explanation:

Given that:

The region of the solid is bounded by the curves [tex]y = 38 \sqrt{cos \ x}[/tex] and the axis on [tex][-\dfrac{\pi}{2}, \dfrac{\pi}{2}][/tex]

using the slicing method

Let say the solid object extends from a to b and the cross-section of the solid perpendicular to the x-axis has an area expressed by function A.

Then, the volume of the solid is ;

[tex]V = \int ^b_a \ A(x) \ dx[/tex]

However, each perpendicular slice is an isosceles leg on the xy-plane and vertical leg above the x-axis

Then, the area of the perpendicular slice at a point [tex]x \ \epsilon \ [-\dfrac{\pi}{2},\dfrac{\pi}{2}][/tex] is:

[tex]A(x) =\dfrac{1}{2} \times b \times h[/tex]

[tex]A(x) =\dfrac{1}{2} \times(38 \sqrt{cos \ x})^2[/tex]

[tex]A(x) =\dfrac{1444}{2} \ cos \ x[/tex]

[tex]A(x) =722 \ cos \ x[/tex]

Applying the general slicing method ;

[tex]V = \int ^b_a \ A(x) \ dx \\ \\ V = \int ^{\dfrac{\pi}{2} }_{-\dfrac{\pi}{2}} (722 \ cos x) \ dx \\ \\ V = 722 \int ^{\dfrac{\pi}{2}}_{-\dfrac{\pi}{2}} cosx \dx[/tex]

[tex]V = 722 [ sin \ x ] ^{\dfrac{\pi}{2}}_{-\dfrac{\pi}{2}}[/tex]

[tex]V = 722 [sin \dfrac{\pi}{2} - sin (-\dfrac{\pi}{2})][/tex]

[tex]V = 722 [sin \dfrac{\pi}{2} + sin \dfrac{\pi}{2})][/tex]

[tex]V = 722 [1+1][/tex]

[tex]V = 722 [2][/tex]

V = 1444

∴ The volume of the solid = 1444

Don’t know the answer

Answer:

(-8, 2)

Step-by-step explanation:

Count 4 units to the right.

Answer:

25m

Step-by-step explanation:

10/6 = length of shadow per metre of pole

so 15 x 10/6 = shadow of 15m high pole

150/6 = 25m

Answer:

area of square = l²= 4489m²

l=√4489 = 67m

Step-by-step explanation:

2.02 into 10 raised to 7 is the answer

Step-by-step explanation:

4+(-3)=1

because when you open brackets + and - will be -, so 4-3=1

Answer:

0.966

Step-by-step explanation:

Given that:

Probability of DVD player breaking down before the warranty expires = 0.034

To find:

The probability that the player will not break down before the warranty expires = ?

Solution:

Here, The two events are:

1. The DVD player breaks down before the warranty gets expired.

2. The DVD player breaks down after the warranty gets expired

In other words, the 2nd event can be stated as:

The DVD does not break down before the warranty gets expired.

The two events here, have nothing in common i.e. they are mutually exclusive events.

So, Sum of their probabilities will be equal to 1.

[tex]\bold{P(E_1)+P(E_2)=1}\\\Rightarrow 0.034+P(E_2)=1\\\Rightarrow P(E_2)=1-0.034\\\Rightarrow P(E_2)=\bold{0.966}[/tex]

Answer:

it is rational number

Step-by-step explanation:

Decimals are not natural and whole numbers.

irrational numbers cannot be expressed by fraction but this question can be experssed by decimal so it is rational number not irrational

hope u like it ❤❤❤

For any question comment me

Answer:

1.17.9

2. 120.61

Step-by-step explanation:

Answer:

17.9

120.61

Step-by-step explanation: