Katie walked a total of 68 kilometers by making 34 trips to school. How many trips will Katie have to make in all to walk a total of 348 kilometers? Solve using unit rates.

Answer:

b. 113.04 ft³

Step-by-step explanation:

To find the volume of this composite figure, we must find the volumes of the shapes it is composed of. After finding the volumes, add the volumes.

This figure is composed of a circular cone and a cylinder.

To find the volume of a cylinder, multiply the radius by itself twice, then multiply the product pi, lastly multiply the product by its height.

[tex]v=\pi *r^2*h[/tex]

To find the volume of a circular cone, multiply the radius by itself twice, then multiply the product by the height, then multiply the product by pi, lastly multiply the product by 1/3.

[tex]v=1/3*h*\pi* r^2[/tex]

Now that we know the formulas, we can find the volume of this figure.

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The height of the cylinder is 3 feet. The radius is 3 feet as well.

Remember: 3.14 will be used for pi (π).

[tex]v=\pi *3^2*3=84.78[/tex]

The volume of the cylinder is 84.78 feet.

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Further more, we find the volume of the circular cone.

The height of the cone is 3 feet. The radius is 3 feet as well.

[tex]v=1/3*3*\pi *3^2=28.26[/tex]

Lastly, we add the volumes of both shapes.

[tex](84.78+28.26)[/tex]

[tex]=113.04.[/tex]

113.04 does not need to be rounded to the nearest hundredth.

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Therefore, the volume of this composite figure is 113.04 ft.

Answer:

$200

Step-by-step explanation:

Given :

Cost of blender + import duty = $240

Import duty = 20% of cost price

Let :

Cost of blender = x

Import duty = 20% of x = 0.2x

Therefore,

x + 0.2x = $240

1.2x = 240

x = 240 / 1.2

x = $200

Cost of blender = $200

Answer:

3rd quadrant.

Step-by-step explanation:

We know that

4x + 7 < -3

5 - 3*y ≥ 11

We should isolate both of the variables in these inequalities:

for the first one we get:

4x + 7 < - 3

4x < -3 - 7

4x < -10

x < -10/4

So x is smaller than a negative number, then we know that x is negative, from this we already know that the point will be on quadrants 2 or 3.

For the other inequality we get:

5 - 3*y ≥ 11

5 - 11 ≥ 3y

-6 ≥ 3y

-6/3 ≥ y

-2 ≥  y

So we can see that y is equal to or smaller than a negative number, then y is a negative number.

So both values, x and y, are negatives.

This means that the point P(x, y) is in the 3rd quadrant.

Answer:

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

Step-by-step explanation:

Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Para saber la cantidad de dinero que posee en su cuenta luego de retirar el dinero debes realizar la diferencia (resta) entre lo que tiene inicialmente y la cantidad que retira:

$30.000 - $18.000= $12.000

Ahora el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María, por lo que debe restarse la mencionada cantidad a la suma de dinero que Ana María posee luego del retiro de dinero [un cheque con cargo a la cuenta de una persona indica que para el titular de la misma significa una salida de fondos, y por tanto, una disminución de su saldo]:

$12.000 - $26.000= - $14.000

Finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500, por lo que se debe realizar la diferencia entre la cantidad calculada previamente y $2.500:

- $14.000 - $2.500= -$16.500

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

Answer:

C= 1/3^8

Step-by-step explanation:

3^-2×4

3^-8

1/3^8

Answer:

Your just now have finals ?

Step-by-step explanation:

Ay, good luck tho homie !

Answer:

ok so if the scale is 2:49 that can be simplified as 1:98

so that means the real one is 98 times bigger then 24

98*24= 2352 cm or 196 feet

Answer:

65 degree, 15 degree

Step-by-step explanation:

In triangle GEF,

∠E = ∠G (Given)

Let's say,

∠E = ∠G = x

∠E + ∠G + ∠F = 180 (Angle sum property of Triangle)

=>x + x + ∠F = 180

=>2x + ∠F = 180

=>2x + 50 = 180

=>2x = 180-50

=> 2x =130

=> x = 130/2

=> x = 65

=>∠E = ∠G = 65

=>∠GEF = ∠EGF = 65 Degree

∠EGF + ∠CGF = 180

=>65 + ∠CGF =180

=>∠CGF = 180 - 65

=> ∠CGF = 15

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

The "is" means "equals"

So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.

Answer:

6+2x=16-x.

Step-by-step explanation:

X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.

Answer:

w = - [tex]\frac{7}{2}[/tex] z

Step-by-step explanation:

Given

5w + 9z = 2z + 3w ( subtract 3w from both sides )

2w + 9z = 2z ( subtract 9z from both sides )

2w = - 7z ( divide both sides by 2 )

w = - [tex]\frac{7}{2}[/tex] z

Answer:

w = -7/2z

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

5w + 9z = 2z + 3w

Step 2: Solve for w

Answer:

10%

Step-by-step explanation:

if the total hours of sports being played is 50 hours, and the time playing soccer is 5 hours, you just divide 5 by 50 (technically will be .1, but to make it a percent you multiply by 100)

Answer: 10:9

Step-by-step explanation:

brother 1-   1m 60cm

brother 2-  1m 44cm

_________________________________________________________

the ratio would be brother 1 : brother 2 => 1m 60cm : 1m 44cm

_________________________________________________________

convert both the values to cm

1m = 100cm

brother 1 would be 100cm + 60cm or 160cm

brother 2 would be 100cm + 44cm or 144cm

_________________________________________________________

[tex]\frac{160}{144} = \frac{10}{9}[/tex] when simplified

the ratio of brother 1 to brother 2 would be 10:9

length=8 units

Step-by-step explanation:

Answer:

64, 125, 216

Step-by-step explanation:

1, 8, and 27 are perfect cubes, i.e., each is the cube of an integer, and they're perfect cubes of consecutive positive integers:

1 = 1³ = 1×1×1

8 = 2³  

27 = 3³

Therefore, the next three-term numbers of the given sequence are:

64 =  4³

125 = 5³ and

216 = 6³

Therefore, the final sequence will look like this:

1, 8, 27, 64, 125, 216

Answer:

Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.

Step-by-step explanation:

Dollar Deal offers $8/h plus 10% commission.

If he spends x hours, then offer after x hours and s amount from sales is;

8x + 10%s

This can be rewritten as; 8x + 0.1s

Now, Great Discounts offers $18/h with no commission.

Thus after 8 hours for 5 days, total number of hours = 40 hours.

Thus, great discounts offer = 18 × 40 = $720

Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s

Thus, for dollar deal to pay more weekly, then;

320 + 0.1s > 720

0.1s > 720 - 320

0.1s > 400

s > 400/0.1

s > 4000

Answer:

s is bigger than m because m is small

Answer:

The numbers are 21 and 63

Step-by-step explanation:

let one number be x

let the other number be 3 times the other = 3x

3x + x = 84

4x = 84

x = 21

3x = 3×21 = 63

Answer:

=0=−6

Step-by-step explanation:

Step-by-step explanation:

this is solved like this

[tex] log_{3}(6) \: - log_{3}(4) \\ = log_{3}( \frac{6}{4} ) \\ = log_{3}( \frac{3}{2} ) \\ = log_{3}(1.5) \\ [/tex]

Answer:

0.00045 [tex]m^{3}[/tex]

Step-by-step explanation:

450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]

1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]

= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]

Answer:

450 (cm*3) = 0,00045 (m*3)

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

Let X be 0 and solve for Y to get the intercept

y= - 4([tex]10^{x}[/tex]) + 12

y= - 4 * [tex]10x^{0}[/tex] + 12

y= - 4 * 1 + 12

y= - 4 + 12

y=8

when x=0, y=8

(0,8) is y intercept

The y-intercept of the given function is (0,8).

We have given that,

The graph of the function f(x) = 10^x

The y-intercept of function gif g(x)=4f(x) + 12

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Let X be 0 and solve for Y to get the intercept

[tex]y= - 4(10^x) + 12[/tex]

[tex]y= - 4 (10^0) + 12[/tex]

[tex]y= - 4 * 1 + 12[/tex]

[tex]y= - 4 + 12[/tex]

[tex]y=8[/tex]

when x=0, y=8

The y-intercept of the given function is (0,8).

To learn more about the intercept visit:

https://brainly.com/question/1884491

#SPJ5

Answer:

93

Step-by-step explanation:

So, you basically basic math it, or calculator.