Please Help me with this

If Grayson has filled 4 more sketchbooks with drawings at home than he has filled at school, how many sketchbooks has he filled

salantis [7]

Answer:

2x + 4

Step-by-step explanation:

I'm guessing there are no exact numbers

home = x + 4

school = x

x + x + 4

2x + 4

8 0

3 years ago

Add and simplify 9/16 + 1/2 =

harkovskaia [24]

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

<h3>Further explanation</h3>

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

$\boxed{\frac{9}{16} + \frac{1}{2} = \ ?}$

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

$\boxed{= \big( \frac{9}{16} \times \frac{2}{2} \big) + \big( \frac{1}{2} \times \frac{16}{16} \big)}$

$\boxed{= \frac{18}{32} + \frac{16}{32}}$

$\boxed{= \frac{34}{32}}$

Let's take a break here to think.

Alternatively, develop a sharper method as below.

$\boxed{= \frac{(9 \times 2) + (16 \times 1)}{16 \times 2}}$

Note how this is performed. Absolutely indeed, cross-multiplication!

$\boxed{= \frac{18 + 16}{32}}$

$\boxed{= \frac{34}{32}}$

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

$\boxed{\frac{9}{16} + \frac{1}{2} = \ ?}$

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

$\boxed{= \big( \frac{9}{16} \times \frac{1}{1} \big) + \big( \frac{1}{2} \times \frac{8}{8} \big)}$

$\boxed{= \frac{9}{16} + \frac{8}{16}}$

$\boxed{= \frac{17}{16}}$

Do not forget simplifying again into mixed fractions.

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
for the final answer, convert fractions to mixed fractions or decimal forms

<h3>Learn more</h3>

How do I solve brainly.com/question/1682776
90 is ¹/₁₀ of _________? brainly.com/question/96882
Investigating the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

Keywords: add and simplify 9/16 + 1/2 =, solve, 2/7m - 1/7 = 3/14, operations, multiply, divide, fraction, equate, common denominator, numerator, both, LCM, alternative, different, method, way, steps, simple, mixed, convert, equivalent, cross-multiplication

8 0

3 years ago

Decide which food truck you would like to purchase (the blue or green food truck) and determine what the total cost will it be t

Nonamiya [84]

Answer: x/3

Step-by-step explanation:

There is no enough sufficient information in the question to determine the total cost to make the truck functional but we solve this type of question by assuming the total cost of the chosen truck to b "x". This means the cost price of the desired truck is x.

Let the amount you have saved be "y".

Since a local business has decided to support your business with 3times the amount you have saved and this money must be enough to buy the desired truck, then we equates the tripled amount you have to the cost price of the truck. That is:

3y = x

y = x/3.

This means that the minimum amount you must save to buy the truck must NOT be less than "x/3" where "x" is the total cost of functionality of the truck.

6 0

4 years ago

Given the points A(-5,3), B(-1,8), C(6,2), and D(10,7). Would lines AB and CD be parallel, perpendicular, or just intersecting?

rodikova [14]

Answer:

parallel

Step-by-step explanation:

5 0

3 years ago

Find the distance between (-3,5) and (-9,5).

natali 33 [55]

Answer:

6 units

Step-by-step explanation:

Distance between 2 points

$= \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }$

Thus, distance between (-3, 5) and (-9, 5)

$= \sqrt{( - 3 - ( - 9))^{2} + (5 - 5)^{2} } \\ = \sqrt{( - 3 + 9)^{2} } \\ = \sqrt{6 ^{2} } \\ = 6$

Alternatively, notice that this line is a horizontal line as both points have the same y-coordinate of 5.

Thus, distance between the 2 points

= -3 -(-9)

= -3 +9

= 6 units

5 0

3 years ago