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Alexxandr [17]
3 years ago
8

George and Francis are studying for a math test. They are each trying to find the product below.

Mathematics
2 answers:
torisob [31]3 years ago
7 0

Answer:

They are correct

Step-by-step explanation:

5 is equal to \frac{5}{1}

\frac{5}{1} × \frac{5}{3} = \frac{25}{3}

\frac{25}{3} is about equal to 8.33

8.33 is greater than 5

Vedmedyk [2.9K]3 years ago
6 0

<u>Answer: </u>

The product is greater than 1.

<u>Solution: </u>

They are trying to find the product of 5 times of \frac{5}{3}

So the product will be 5 times of \left(\frac{5}{3}\right)=\left(5 \times\left(\frac{5}{3}\right)\right)

\Rightarrow\frac{5 \times 5}{3}\\=\frac{25}{3}=\frac{8 \times 3+1}{3}\\\Rightarrow8\left(\frac{1}{3}\right)

8\left(\frac{1}{3}\right) > 1

So, we can see that the product is greater than 1.

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TEA [102]

You might be thinking of "distribution" or "distributive property"

Example:

2(3x+5) = 2*3x+2*5 = 6x+10

I multiplied the outer 2 by each term inside (3x and 5)

4 0
3 years ago
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What percent of 863.6 is 380
Aleks04 [339]
Hello there! To solve types of questions like these, we can write and solve a proportion. We are looking for the percentage of 380 out of 863.6. Let's set up the proportion like this: 380/863.6 = x/100. Cross multiply the values in order to get 38,000 = 863.6x. Now, divide each side by 863.6 to isolate the "x". 38,000/863.6 is 44.00185271 or 44 when rounded to the nearest whole number. 380 is appox. 44% of 863.6.
4 0
3 years ago
12 flowers were planted in a row, and after that between each two flowers was planted one more flower. Then, the same pattern wa
serious [3.7K]

Answer:

23 flowers

Step-by-step explanation:

(For a visual example)

  1. Take a slip of paper and draw 12 lines evenly spaced apart.
  2. Draw a line in between each of those flowers.
  3. Count up all those flowers!

6 0
3 years ago
On Monday, Luis picked up seven scones and four large coffees. He paid $26.16. On Tuesday, Rachel picked up six scones and five
Liula [17]
Answer: A scone costs $2.64, and a large coffee costs $1.92.

Explanation: We can write both scenarios as equations, and write it as a system of equations.

“Luis picked up seven scones and four large coffees. He paid $26.16.”

Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.

The first equation would be 7x + 4y = 26.16.

“Rachel picked up six scones and five large coffees. She paid $25.44.”

Let’s express the cost of a scone as x.
Let’s express the cost of a large coffee as y.

The second equation would be 6x + 5y = 25.44.

The systems of equations is:

7x + 4y = 26.16
6x + 5y = 25.44

Let’s take the first equation and solve for x.

7x + 4y = 26.16
7x = 26.16 - 4y
x = (26.16 - 4y)/7

Let’s substitute x in the second equation for (26.16 - 4y)/7, and solve for y.

6((26.16 - 4y)/7) + 5y = 25.44

Distribute the 6 across 26.16 - 4y in the term 6((26.16 - 4y)/7).

(156.96 - 24y)/7 + 5y = 25.44

Rewrite 5y as 35y/7 so it has a common denominator with (156.96 - 24y)/7.

(156.96 - 24y)/7 + 35y/7 = 25.44

Combine like terms.

(156.96 + 11y)/7 = 25.44

Multiply both sides by 7.

156.96 + 11y = 178.08

Subtract 156.96 from both sides.

11y = 21.12

Divide both sides by 11.

y = 1.92

Substitute y into the first equation.

7x + 4(1.92) = 26.16

Simplify 4(1.92).

7x + 7.68 = 26.16

Subtract 7.68 from both sides.

7x = 18.48

Divide both sides by 7.

x = 2.64

Since x = 2.64, we know that the cost of a scone is $2.64.
Since y = 1.92, we know that the cost of a large coffee is $1.92.

Therefore, a scone costs $2.64, and a large coffee costs $1.92.

3 0
3 years ago
el operador de un elevador registro el numero de pisos que este subio y bajo en varias ocasiones para llegar de la planta baja h
balandron [24]

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado que :

Número total de movimientos realizados:

5 (2 movimientos hacia abajo y 3 movimientos hacia arriba) para llegar al noveno piso desde la planta baja.

Tome el movimiento hacia abajo como (-)

Movimiento ascendente como (+)

Número de pisos entre la planta baja (0) y el 9 ° piso: (9-0) = 9

Usando el operador de multiplicación, podemos obtener el número de pisos movidos hacia arriba y hacia abajo antes de llegar al noveno piso.

9 * 3 = 27 pisos (hacia arriba)

9 * 2 = 18 pisos (hacia abajo)

Cheque:

27 - 18 = 9

8 0
4 years ago
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