Marta is building a scale model of the Empire State building which has a rectangular base. The scale on the model is 1 inch = 35 feet. Her model is 4 inches in length and 1 inch in width. What is the actual area, in square feet, of the base of the building?

Answer:

15 + x(.5) = 24 ; x = 18

Step-by-step explanation:

15 + 18(.5) = 24

15 + 9 = 24

Step-by-step explanation:

t is the number of ride tickets she can buy.

=>

[tex]15 + t \times 0.5 \leqslant 24[/tex]

she has to pay $15 just for entering. the rest of the money she can use for ride tickets.

so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.

the $15 admission goes off the $24 available money. that leaves $9.

each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.

so, again

[tex]15 + t \times 0.5 \leqslant 24[/tex]

[tex]t \times 0.5 \leqslant 24 - 15 = 9[/tex]

[tex]t \times 0.5 \leqslant 9[/tex]

[tex]t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18[/tex]

[tex]t \leqslant 18[/tex]

Step-by-step explanation:

Answer:

Solution :-here,

f (x)= 13

or, 6x-5= 13

or, 6x =13+5

or, 6x = 18

or, x = 18/6

or, x = 3

hope it is helpful to you

Answer:

18/1

Step-by-step explanation:

I took all of the numbers and added them the subtracted 1 because you don't wanna include the basketball

The probability of not selecting a basketball from the bag is 18/19, or approximately 0.9474 (rounded to four decimal places).

Here, we have,

To find the probability of not selecting a basketball from the bag, we need to calculate the ratio of the number of items that are not basketballs to the total number of items in the bag.

Let's calculate it step by step:

Total number of items in the bag = 8 (tennis balls) + 2 (volleyballs) + 1 (basketball) + 3 (baseballs) + 5 (footballs) = 19.

Number of items that are not basketballs = 8 (tennis balls) + 2 (volleyballs) + 3 (baseballs) + 5 (footballs) = 18.

Therefore, the probability of not selecting a basketball is:

Number of items that are not basketballs / Total number of items in the bag = 18 / 19.

Hence, the probability of not selecting a basketball from the bag is 18/19, or approximately 0.9474 (rounded to four decimal places).

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Answer:

selling 36 muffins at a discount rate of 10% off the original price

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

x = 3^2

x = 3*3

x=9

Answer:

11 is the correct answer

Step-by-step explanation:

21-10

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

[tex]y = 2x +3 ----(1) \\\\y = x + 2 ----(2)\\\\substitute \ (2) \ in \ (1) : x + 2 = 2x + 3[/tex]

[tex]x - 2x = 3 - 2\\\\-x = 1\\\\x = -1\\\\Substitute \ x = -1 \ in \ (2) : y = -1 + 2 => y = 1[/tex]

Answer:

368 / 16 = 23

Step-by-step explanation:

Add them all, then divide by how many numbers are in the data set.

Answer:

The above person's answer is correct sorry for the wrong data.

Answer:

d. 84 yd

Step-by-step explanation:

[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]

Answer:

Mario perdió dinero, perdió 2500 dólares

Step-by-step explanation:

En el primer caso, Mario está vendiendo su carro en 30 000 dólares. En otras palabras, el precio de venta es 30 000. Te dice que en el primer carro ganó 20%, o sea que su precio de venta es una incógnita que llamaremos x y gano 20% de x. Podemos expresarlo de esta manera

x = precio de compra carro 1

x + (20% de x) = 30 000

x = 100 % de x

(100% de x) + (20% de x) = 30 000

120% de x =30 000

120% = 1.2

1.2x = 30 000

x = 25 000

El segundo caso es bastante parecido. Te indica que el precio de venta sigue siendo el mismo, pero el precio de compra es diferente. El precio de venta sigue siendo 30 000, pero el precio de compra del segundo carro esta vez será "y". En este caso, pierde 20% del precio de compra, o osea, pierde 20% de y. Se puede expresar de la siguiente manera:

y = precio de compra carro 2

y - (20% de y) = 30 000

y = 100% de y

(100% de y) - (20% de y) = 30 000

80% de y = 30 000

80% = 0.8

0.8y = 30 000

y= 37 500

Entonces tenemos que el precio de compra del carro uno es 25 000 dólares y el precio de compra del carro dos es de 37 500. Si sumamos ambas cantidades, tenemos que ambos carros costaron 62 500 dólares. Como vendió esos dos autos a 30 000 dólares cada uno, recibió 60 000 dólares. El precio por el que vendió los autos (60 000) es menor al precio del que los compro (62 500), por lo que eso representa una perdida.

Para hallar la cantidad que ganó o perdió (en este caso perdió) debes restar el precio de venta menos el precio de compra.

60 000 - 62 500 = -2 500

Como es un número negativo, representa una perdida.

Hello~

4+1=5

5+2=12

6+3=21

8+11 =

The First one is correct!

Ary~

Answer:

3

Step-by-step explanation:

12÷4=3

Have a good day:)

Answer:

90+1,2 = 200

Step-by-step explanation:

maaf kalo salah

Answer:

area= 62.88

Step-by-step explanation:

to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.

now find the area of the whole circle and divide it in half.

A= pi * r^2 / 2

A= 3.14 * 4^2 /2

A= 3.14 * 16 / 2

A= 25.12

Now take the area of the semi-circle and subtract it from the whole figure.

88-25.12=62.88

Answer:

135°

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing:

=> 12 = 16A

=> 12/16 = A

=> 3/4 = A

Required radian is 3/4 which is 3/4 * 180° = 135°

Answer:

No bcuz its not on the line

Step-by-step explanation:

Answer: 4.14 m.

Step-by-step explanation:

Answer:

Show me the options

Step-by-step explanation:

Answer

27^0.5+0.25 or 3^0.5+0.25

3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression  81^0.5t+0.25​

Simplifying the given expression:

=> 81^0.5t+0.25​

Simplify using the exponent power rule: (a^m)^n = (a)^mn

Convert decimal to fraction:

=> (3⁴ )^0.5t + 25/100

Cross out the common factor:

=> 3^2t + 1/4

therefore, 3^2t + 1/4 expression is equivalent to 81^0.5t+0.25​.

Learn more about expression here:

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Answer:

2/5% is .004 as a decimal and 1/250 as a fraction

Step-by-step explanation:

2/5% is .4% which is .004 as a decimal

2/5 ÷ 100/1 is the same as 2/5 × 1/100 which is 2/500 or 1/250

Answer:

Diagonal AC is NOT perpendicular to diagonal BD

Step-by-step explanation:

Answer:

188

Step-by-step explanation:

6*6=36

(6+13=19)*8=152

152+36=188

Answer:

The area of the composite figure is 188 m^2

Step-by-step explanation:

Let's work with the square first.

Given,

Length of one side of the square = 6m

We know,

Area of square region = ( Length of one side of the square)^2      sq. unit

                                     = [tex]6^{2}[/tex]  m^2

                                     = 36 m^2

Again,

Length of the rectangle = (13 + 6) m = 19 m

Breadth of the rectangle = 8 m

We know,

Area of the rectangular region = (Length X Breadth)     sq. unit

                                                   = ( 19 X 8 ) m^2

                                                    = 152 m^2

∴ The total area = (36+152) m^2

                           = 188 m^2

So, the area of the composite figure is 188 m^2.

Answer:

a) (0.576, 0.624)

Step-by-step explanation:

Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%

α = 1 - C = 1 - 0.85 = 0.15

α/2 = 0.075

The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence [tex]z_\frac{\alpha }{2} =1.44[/tex]

The margin of error (E) is:

[tex]E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024[/tex]

The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)

Answer:

[tex]6.28\:\mathrm{in}[/tex]

Step-by-step explanation:

The circumference of a circle is given by [tex]C=2r\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since all radii of a circle are exactly half the length of all diameters of a circle, if the diameter is 2 inches, we know the radius is 1 inch.

Therefore, we have:

[tex]C=2(1)\pi=2\cdot 1\cdot 3.14=\boxed{6.28\:\mathrm{in}}[/tex]

Answer:

6.28in or 6.3in

Step-by-step explanation:

All I did was multiply pie by diameter or multiply it by its radius, which is 1.

C = 2(3.14)(1)

= 6.28

or

C = (3.14)(2)

= 6.28

Answer:

Rectangle

Step-by-step explanation:

First, we gotta graph it!

It's down below.

Now, what shape is that?

It's a rectangle!