Write a multiplication equation for "Eight $5 bills are worth $40."

Answer:

Part 1) [tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2) After 10 seconds.

Step-by-step explanation:

We have the function:

[tex]f(x)=-5x^2+40x+100[/tex]

Where f(x) represents the height x seconds after it is released into the air.

Part 1)

First, let's distribute a -5 out of the function:

[tex]f(x)=-5(x^2-8x-20)[/tex]

Now, let's factor. We want to pick two number that multiplies to -20 and adds to -8.

We can use -10 and 2. So:

[tex]f(x)=-5(x^2+2x-10x-20)[/tex]

Factor:

[tex]\begin{aligned}f(x)&=-5(x^2+2x-10x-20) \\ f(x)&=-5(x(x+2)-10(x+2)) \\ f(x)&=-5(x-10)(x+2) \end{aligned}[/tex]

Hence, our factored form is:

[tex]f(x)=-5(x-10)(x+2)[/tex]

Part 2)

We want to find after how many seconds does it take for the projectile to reach the ground.

If it reaches the ground, the height above the ground, f(x), will be 0.

So, we can set f(x) equal to 0 and solve for x. Instead of using the original equation, we can use the factored form. So:

[tex]0=-5(x-10)(x+2)[/tex]

Zero Product Property:

[tex]x-10=0\text{ or } x+2=0[/tex]

Solve for x:

[tex]x=10 \text{ or } x=-2[/tex]

Since x measures time, -2 does not make sense in this context.

Therefore, our solution is x=10.

So, after 10 seconds, the projectile will hit the ground.

Answer:

112 degrees

Step-by-step explanation:

In this case, the two angles are considered alternating exterior angles, which signifies that they are equal

Answer:

kljnm

Step-by-step explanation:

ok

this and you get an A

Answer:

eu singer nuştiu

terog scuză

Answer:

a) 30 parcelas

b) Para árboles de cedro: 5 por parcela

Para árboles de Guayacán: 7 por parcela

Step-by-step explanation:

a) ¿Cuál es el mayor número de parcelas?

De la pregunta tenemos:

150 árboles de cedro y 210 árboles de guayacán

Para encontrar la mayor cantidad de parcelas, resolvemos usando los métodos del mayor factor común.

Encontramos los factores de 150 y 210

Los factores de 150 son: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Los factores de 210 son: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Entonces el máximo común divisor es 30.

Por lo tanto, la mayor cantidad de parcelas que podemos tener es de 30 parcelas.

b) ¿Cuántos árboles de cedro y de guayacán plantar en cada parcela?

Para cedros

Tenemos 150 árboles de cedro

Por lo tanto, la cantidad de árboles de cedro por parcela = 150 ÷ ​​30 = 5 árboles de cedro por lote

Para los árboles de Guayacán

Tenemos 210 árboles de Guayacán

Por lo tanto, el número de árboles de Guayacán por parcela = 210 ÷ 30 = 7 árboles de Guayacán por lote

Answer:x = 0.028571 cm3

Step-by-step explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

   the mass is to the volume is as the mass is to the volume

        3.5g /(1 cm3)  =  0,1g / (x cm3)

Cross-multiply to get:

       3.5x = 0.1

         x = 0.1 / 3.5                (divide both sides by 3.5)

         x = 0.028571 cm3      (you probably should round this, but diamonds are expensive !)

34756Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

4x = 7(3x)

4x = 21x

-4x   -4x

17x = 0

Answer:

$8

Step-by-step explanation:

25% is .25, also known as 1/4. So if you think of it that way, $2 is 1/4 of the entire payment that was added to it. 2*4 is 8, so the price of the tacos was $8 before any tip was added. Andrea paid $10 in total if you include the tip.

Answer:

Number 2, or {(0,1),(1,-3),(2,-5),(3,-7)(4,-9)}

Explanation:

Every x-value matches to exactly one y-value, which is the definition of a function.

Answer:

y=1/3x+2

Step-by-step explanation:

Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

Given :

A line passes through (0, 2) and has a slope of 1/3

The equation of a line in slope intercept form is y=mx+b

where m is the slope and b is the y intercept

From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]

The line passes through (0,2) that is our y intercept b

b= 2

Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b

[tex]y= \frac{1}{3} x+2[/tex]

The equation of the line in slope intercept form is

[tex]y= \frac{1}{3} x+2[/tex]

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Answer:

lines 1 and 4

Step-by-step explanation:

they are both horizontal lines because when solved equal a number without an x so they is no slope so they are horizontal and have the same slope which means they are parallel to each other

Answer:

Just hit continue.

Step-by-step explanation:

The predicted amount is for the second button only.

Each dollar spent does not always earn the same number of points.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Customers of a certain credit card earn points for using the card.

The table shows the number of points earned for the amount spent.

Now, By the given table which shows the number of points earned for the amount spent.

⇒ Number of points in 4 dollars = 36

Hence, Number of points in 1 dollars = 36/4 = 9

⇒ Number of points in 7 dollars = 56

Hence, Number of points in 1 dollars = 56/7 = 8

⇒ Number of points in 9 dollars = 72

Hence, Number of points in 1 dollars = 72/9 = 8

Thus, We get;

⇒ Each dollar spent does not always earn the same number of points.

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Answer:

112 ounces

Step-by-step explanation:

Malia bought 14 cans of cat food

Each of the can weighs 8 ounces

Therefore the total ounces of cat food bought can be calculated as follows

= 14×8

= 112 ounces

Answer:

1: [tex]3[/tex]×[tex]2[/tex]

2: [tex]y^6[/tex]

Step-by-step explanation:

1:

Multiply the numbers: [tex]y(^3^*^2)[/tex]

[tex]3*2 = 6[/tex]

Write it without exponents:

[tex]y * y * y * y *y *y[/tex] so [tex]6y[/tex].

2:

[tex](y^3)^2[/tex]

Apply exponent rule : [tex](a^b)^c=a^b^c,[/tex] assuming [tex]a\geq 0[/tex]

[tex](y^3)^2=y^3^*^2[/tex]

[tex]=y^3^*^2[/tex]

Multiply the numbers: [tex]3 * 2 = 6[/tex]

[tex]= y^6[/tex]

Hope I helped! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

Answer:

D.Associative Property

Step-by-step explanation:

Answer:

D. Accociative Property

Step-by-step explanation:

You switched around the parenthesis!

Answer:

The seating capacity of the auditorium is 2,340.

Step-by-step explanation:

This question relates to an Arithmetic Progression (AP).

An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.

Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:

Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)

Where;

n = number of rows = 30

a_1 = Number seats in the first row = 20

d = Common difference = 24 - 20 = 28 - 24 = 4

Substituting the values into equation (1), we have:

Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))

Seating capacity =  15 * (40 + (29 * 4))

Seating capacity =  15 * (40 + 116)

Seating capacity =  15 * 156

Seating capacity = 2,340

Therefore, the seating capacity of the auditorium is 2,340.

Answer:

42.5

Step-by-step explanation:

Answer:

ask your mom for the answer

Step-by-step explanation:

thank me later

Answer: y= -1x+ 5

Step-by-step explanation:

Y = slope x + y- intercept

Answer: your answer is $74.81  and you are welcome

Step-by-step explanation:

$3.00 +$64.00 + $4.00 +$3.81 = $74.81

Answer:

B

Step-by-step explanation:

Equation of A is

y = 0.0105x

Equation of B is

y = 0.01

B is smaller than A

Responder:

59 años

Explicación paso a paso:

Asumir que:

Edad actual = x

Edad 27 años atrás = x - 27

Edad dentro de 5 años = x + 5

La mitad de la edad de hace 27 años = 1/2 (x - 27)

Cuarto de edad dentro de cinco años = 1/4 (x +5)

0,5 (x - 27) = 0,25 (x + 5)

0.5x - 13.5 = 0.25x + 1.25

0.5x - 0.25x = 1.25 + 13.5

0,25 veces = 14,75

Dividir por 0,25

0,25x / 0,25 = 14,75 / 0,25

x = 59

Por lo tanto, la edad de Anahí ahora es de 59 años.

La edad actual de Anahí es de 59 años.

Sabemos por la pregunta que la mitad de la edad que tenía Anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años.

Para escribir esto como una ecuación, sea y la edad actual;

1/2(s - 27) = 1/4(y + 5)

El MCM de 2 y 4 es 4 por lo tanto;

4/2(y - 27) = 4/4(y + 5)

2(s - 27) =(y + 5)

2y - 54 = y + 5

2y -y = 5 + 54

y = 59

La edad actual de Anahí es de 59 años.

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Answer:

4(x+7)

or 4x+28

Step-by-step explanation:

Here you go:)

Discount on shirt, [tex]D_s = 19.95\times 0.25=\$4.9875[/tex] .

So, Price payed for shirt is :

[tex]P=P_s-D_s\\\\P=19.95 - 4.9875\\\\P=\$14.9625[/tex]

Discount on shorts, [tex]D_{sh}=35.95\times 0.30=\$10.785[/tex]

Discounted price :

[tex]P=P_{sh}-D_{sh}\\\\P=35.95-10.785\\\\P=\$25.165[/tex]

Therefore, discounted price of shirt and shorts are $14.9625 and $25.165.

Hence, this is the required solution.

Answer:

12 times

Step-by-step explanation:

Given that :

Amount of potting soil in bag = 9 cups

Size of scooping cup = 3/4 cup

The number of times scooping will be done to use entire bag of potting soil will be ;

(Amount of potting soil in bag ÷ size of scooping cup)

(9 ÷ 3/4)

9/ 1 * 4/3

= 36/3

= 12 times

Hence, scooping will have to be done 12 times in other to use entire bag if potting soil.

Start with the slope formula.

m = y₂ - y₁ / x₂ - x₁

m = -6 - 3 / 5 - -2

m = -9 / 7

So the slope is -9/7.

Answer: D. 5 > x > 1

1 < 3x -2 < 13

<=> 3 < 3x < 15

<=> 1< x < 5

Step-by-step explanation:

x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 1 < 3x-2 < 13

One less than three times of x minus two less than thirteen.

We need to find the solution of the inequality.

Let us divide the given inequality into two parts

3x-2>1 and 3x-2<13

For first inequality

3x-2>1

3x>3

x>1

and the second inequality  3x-2<13

3x<15

x<5

Hence, x>1 and x<5 and 1<x<5 are  the solution of the inequality 1 < 3x-2 < 13.

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Answer:

B

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Alice ride her bicycle in 1 day for a distance of 4 miles.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Alice rode her bicycle the same number of miles every day for 17 days.

Let x be the number of miles that Alice rode for 1 day.

She rode x miles for 17 days.

Total number of miles that she rode in 17 days = 68 miles

So, we have,

17x = 68

Dividing both sides by 17,

x = 4

Hence the number of miles Alice rode in 1 day is 4 miles.

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