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3 years ago

15

Jenny bakes 10 cookies. She puts 7 chocolate chips on each cookie. Draw a tape diagram, and label the total amount of chocolate

chips as c. Write an equation, and solve for c.

1 answer:

IgorC [24]3 years ago

3 0

Jenny bakes 10 cookies. she puts 7 chocolate chips on each cookie draw a tape diagram and label the total amount

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Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?

marusya05 [52]

Question:- Alana biked 12 miles in 48 minutes. What is Alana's speed in miles per minute?

Answer:-

Set up a proportion.

12/48 = 1/x

Cross multiply.

12*x = 12x
48*1 = 48

12x = 48

12x/12 = 48/12

x= 48/12
x= 4

Now, we have our final answer. x = 4

Final answer:- Alana bikes 4 miles per minute.

6 0

3 years ago

The sum of three consecutive even numbers is 96. What is the smallest of the three numbers

lidiya [134]

The answer is 30.

First off, the numbers are consecutive even numbers. So, the difference between every consecutive number is 2 (numbers go from even to odd to even to odd...). Since the sum of their numbers is 96, I divided that by 3 to get 32. This gives me the median of the three numbers. To find the smallest number, I simply subtracted 2 from the 32.

This may help:

96/3=32

32 + 32 + 32 = 96
(32-2)+(32+0)+(32+2)=96
30+32+34=93

8 0

2 years ago

What is factorisation

liubo4ka [24]

Factorization is a method of writing numbers as the product of their factors or divisors.

<em><u>Solution:</u></em>

<em><u>Factorisation:</u></em>

Factorization is a method of writing numbers as the product of their factors or divisors.

In other words we can say, Finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

<em><u>Methods of factorisation:</u></em>

Factoring out the GCF

The sum-product pattern

The grouping method

The perfect square trinomial pattern

The difference of squares pattern

<em><u>Factoring out the GCF:</u></em>

This methods means that factoring out common factors

For example:

$12x^2 + 3x = 3x(4x + 1)$

This can be used when each term in given expression shares a common factor

<em><u>The sum-product pattern</u></em>

A quadratic equation may be expressed as a product of two binomials

For example:

$x^2 + 7x + 12 = (x + 3)(x + 4)$

This method can be used for quadratic equations of form $ax^2 + bx + c = 0$

<em><u>The grouping method</u></em>

If the polynomial is of the form $ax^2 + bx + c$ and there are factors of ac that add up to b , we can use this method

For example:

$2x^2 + 7x + 3\\\\2x^2 + 6x + 1x + 3\\\\2x(x + 3) + 1(x + 3)\\\\(x + 3)(2x + 1)$

<em><u>The perfect square trinomial pattern</u></em>

If the first and last terms are perfect squares and the middle term is twice the product of their square roots , we can use this method

For example:

$x^2 + 10x + 25\\\\(x + 5)^2$

<em><u>The difference of squares pattern</u></em>

If the expression represents a difference of squares, we can use this method

Because $a^2 - b^2 = (a + b)(a - b)$

For example:

$x^2 - 25\\\\x^2 - 5^2\\\\(x + 5)(x - 5)$

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3 years ago

a movie is three hours long. if this duration is multiplied by the conversion factor 60 how will the length of the 1 movie be ex

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It's a total of one-eighty

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A recipe calls for 3/4 lb of cream cheese. A small tub of cream cheese at the grocery store weighs 12oz. Is this enough cream ch

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Yes this is enough cream cheese

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3 years ago