320 g as a fraction of 2 kg

Answer:14/15 + 42/11

Step-by-step explanation:

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Explanation

Shape A has surface area 4 cm^2

Shape B has surface area 25 cm^2

The ratio of the surface areas, from A to B, is 4:25

Apply the square root to both parts and we get 2:5 as the ratio of the corresponding sides. If shape A has a height of 2, then shape B will have a corresponding height of 5. I recommend drawing out two squares with these properties to see that their areas form the ratio mentioned above.

The ratio of the volume of shape B to shape C's volume is 27:64. Apply the cube root to both parts to get 3:4. This means if the height of shape B is 3, then the corresponding height on shape C is 4.

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We found these ratios for the sides

The goal is to find the ratio A:B:C which ties all three shapes together showing how they all connect in terms of their corresponding sides.

Note how in A:B = 2:5 we have B = 5, but in B:C = 3:4 we have B = 3. We cannot combine the two ratios in this form since the B terms don't match.

The good news is that we can apply scaling to get the B values to match up

The ratio 2:5 is equivalent to 6:15 after multiplying both parts by 3

The ratio 3:4 is equivalent to 15:20 after multiplying both parts by 5.

The multipliers 3 and 5 are used because note how 15 is the LCM of those previous B values mentioned.

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After scaling those ratios, we have

From here, we can quickly see that A:B:C = 6:15:20. This is possible because the '15's match up for the B terms.

If shape A has a height of 6, then shape B has a height of 15, and C has a height of 20. All of these heights correspond to one another.

Then we just erase out the B part to conclude A:C = 6:20 which reduces to A:C = 3:10 after dividing both parts by 2.

Answer:

70 mm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 42² + 56² = 1764 + 3136 = 4900 ( take the square root of both sides )

c = [tex]\sqrt{4900}[/tex] = 70

Answer:

3/6=1/2

Step-by-step explanation:

1/6+1/6+1/6=3/6

The most simplified answer is 1/2

The fraction 1/6 + 1/6 +1/6 is equals to the 1/2 after adding them all.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

= 1/6 + 1/6 +1/6

Taking LCM of 6, 6, and 6 is 6

= (1+1+1)/(6)

= 3/6

Divide by 3 on numerator and denominator.

=1/2

Thus, the fraction 1/6 + 1/6 +1/6 is equals to the 1/2 after adding them all.

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Answer:

The solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

Step-by-step explanation:

Given the expression

[tex]x - 5y = 11[/tex]

[tex]3x - 5y = 11[/tex]

solving the expression

[tex]\begin{bmatrix}x-5y=11\\ 3x-5y=11\end{bmatrix}[/tex]

Multiplying x-5y = 11 by 3:  3x-15y=33

so

[tex]\begin{bmatrix}3x-15y=33\\ 3x-5y=11\end{bmatrix}[/tex]

and

[tex]3x-5y=11[/tex]

[tex]-[/tex]

[tex]\underline{3x-15y=33}[/tex]

[tex]10y=-22[/tex]

now solving 10y = -22 for y

[tex]10y=-22[/tex]

divide both sides by 10

[tex]\frac{10y}{10}=\frac{-22}{10}[/tex]

simplify

[tex]y=-\frac{11}{5}[/tex]

For 3x-5y=11 plug in y = -11/5

[tex]3x-15\left(-\frac{11}{5}\right)=33[/tex]

[tex]3x+15\cdot \frac{11}{5}=33[/tex]

[tex]3x+33=33[/tex]

Subtract 33 from both sides

[tex]3x+33-33=33-33[/tex]

Simplify

[tex]3x=0[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{0}{3}[/tex]

Simplify

[tex]x=0[/tex]

Thus, the solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

I would say D

Hope I helped :)

The expression which represents the number of pieces of candy that Michelle has will be y = 2c + 15.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Michelle has fifteen more than two times as many pieces of candy as her sister.

Then the expression which represents the number of pieces of candy that Michelle has will be

If the variable c represents the number of pieces of candy that her sister has. Then we have

Let y be the number of candy that Michelle has.

Then we have

y = 2c + 15

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Answer:

98671

Step-by-step explanation:

Answer:

Answer: C. 32 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

0 < x < 32

wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm

Answer: C. 32 cm

We want to find the length of the missing leg of the given triangle. We will see that the correct options are C and D.

Two angles are congruent if these have the same measure.

Then if the triangle has two congruent angles it means that the triangle must be an isosceles triangle.

We know that one side measures 16cm and the other side measures 32 cm, and this is an isosceles triangle, so it must have two equal sides.

Then the possible measures of the missing side are either 16cm or 32 cm.

So the correct options are C and D.

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Answer:

-2 Because i did the test and got a 100% on it

Answer: y= -3/8|x|

Step-by-step explanation: so D oh khan academy

The function after reflection is y= -3/8 |x|

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.

Given:

y= |x|

So, reflection for x axis

y= -|x|

and, scaled vertically by a factor of 3/8

y= -3/8 |x|

Hence, the function after reflection is y= -3/8 |x|

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Answer:

the answer would be 216 in 27 minutes.

Answer: 216

Step-by-step explanation:

If the scanner is able to scan 56 photos in 7 minutes, then it scans 8 photos in 1 minute. Under this rule of 8:1, then it can scan 216 photos in 27 minutes.

Answer:

B

Step-by-step explanation:

The equivalent expression for the expression -2/5(15 - 20d + 5c) is

-6 + 8d - 2c

Option B is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-2/5 x (15 - 20d + 5c)

= -2/5 x 15 + 2/5 x 20 - 2/5 x 5c

= -2 x 3 + 2 x 4 - 2c

= -6 + 8d - 2c

Thus,

The equivalent expression is -6 + 8d - 2c.

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Answer:

7 saves per game

Step-by-step explanation:

Answer:

John ate 7/12 more of the candy than Sandy.

Step-by-step explanation:

3/4 is equivalent to 9/12.

1/6 can be expressed as 2/12.

Step 3: 9/12 - 2/12 = 7/12.

Now that they have the same denominators, perform the subtraction process.

Then,John ate 7/12 more of the candy than Sandy.

Answer:162

Step-by-step explanation:

Missing value in the equation of the storage bin that gives a maximum area is 162.

" Area is the surface which represents the space occupied by any two dimensional object."

Formula used

(a -b)² =  a² -2ab + b²

According to the question we have ,

A(x) = -2x² +36x

= -2(x²- 18x)

= -2 ( x² - 18x ) + 2 (9)² - 2(9)²

= -2 (x² - 18x  + (9)²) + 2 (9)²

= -2 (x -9)² + 162

Hence  we conclude that  Option A is correct.

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Answer:

8..

Step-by-step explanation:

-3x-5y=61

7x-5y=-9

-10x=70

x=-7

y=-8..

Answer:

D

Step-by-step explanation:

Answer: X = 300

So it would be "D"

Answer:-14

Step-by-step explanation:

Answer:

{y | y > 12}

Step-by-step explanation:

just took the test

Answer:

220

Step-by-step explanation:

400 x .55 = 220

Answer:

La distancia recorrida por el móvil es 240 metros.

Step-by-step explanation:

Puesto que el móvil experimenta movimiento rectilíneo uniformemente acelerado, la distancia recorrida es determinada por las siguientes ecuaciones cinemáticas:

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex] (1)

[tex]v = v_{o} + a\cdot t[/tex] (2)

Donde:

[tex]\Delta x[/tex] - Distancia recorrida, medida en metros.

[tex]v_{o}[/tex] - Velocidad inicial, medida en metros por segundo.

[tex]v[/tex] - Velocidad final, medida en metros por segundo.

[tex]a[/tex] - Aceleración, medida en metros por segundo al cuadrado.

[tex]t[/tex] - Tiempo, medido en segundos.

En (2) despejamos el tiempo:

[tex]a = \frac{v-v_{o}}{t}[/tex]

Si aplicamos esta ecuación en (1):

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot \left(\frac{v-v_{o}}{t} \right)\cdot t^{2}[/tex]

[tex]\Delta x = v_{o}\cdot t + \frac{1}{2}\cdot (v-v_{o})\cdot t[/tex]

[tex]\Delta x = \frac{1}{2}\cdot v_{o}\cdot t+\frac{1}{2}\cdot v\cdot t[/tex]

[tex]\Delta x = \frac{1}{2}\cdot (v_{o}+v)\cdot t[/tex] (3)

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]v = 60\,\frac{m}{s}[/tex] and [tex]t = 8\,s[/tex], entonces la distancia recorrida es:

[tex]\Delta x = \frac{1}{2}\cdot \left(0\,\frac{m}{s}+60\,\frac{m}{s}\right) \cdot (8\,s)[/tex]

[tex]\Delta x = 240\,m[/tex]

Answer: 1 1/4s or 1.25s

Step-by-step explanation:

From the question, we are informed that this year Martin's income is 1/4 greater than his income from last year. We are further told that his income from last year is represented by s.

Therefore, hus income this year will be:

= s + (1/4 × s)

= s + 1/4s

= 1 1/4s or 1.25s

Answer:

it is 1/4s

Step-by-step explanation:

Step-by-step explanation:

there, hope it helps! :)

Answer: See explanation

Step-by-step explanation:

Here's the complete question:

A family has a monthly budget of $2,400. How much money is spent on each category? 44% is spent on housing. 23% is spent on food. 6% is spent on clothing. 17% is spent on transportation. The rest is put into savings.

Housing = 44%

Food = 23%

Clothing = 6%

Transportation = 17%

Savings = 1 - (44% + 23% + 6% + 17%) = 10%

Amount spent on Housing = 44% × $2400 = 0.44 × $2400 = $1056

Amount spent on Food = 23% = 23% × $2400 = 0.23 × $2400 = $552

Amount spent in Clothing = 6% = 6% × $2400 = 0.06 × $2400 = $144

Amount spent on Transportation = 17% = 17% × $2400 = 0.17 × $2400 = $408

Savings = 10% = 10% × $2400 = 0.1 × $2400 = $240