How can you find the sum [8 +(−4)] + (−8 + 4) using mental math?

Answer:

The index fossils are the same geological age.

Step-by-step explanation:

This could happen due to the split of the Earth millions of years ago. The Continental drift theory states that the Earth's continents have moved over geologic time relative to each other. Then, animals who were together at some time were separated by the continents drift.

The number of cars produced in 5 days is 660.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Number of cars produced per day = 120

Increased in production = 10%

Now,

We can make an equation for the number of production of cars in x days.

y = (110% of 120)x

y = 132x

Now,

The number of cars produced in 5 days.

= 132 x 5

= 660

Thus,

The number of cars produced in 5 days is 660.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

1/12

Step-by-step explanation:

The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12 of the girls

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction of the girls in class that have neither blue or green eyes be represented as B

Now , the value of B is

Let the fraction of girls in the class that have blue eyes = ( 2/3 ) of girls

Let the fraction of girls in the class that have brown eyes = ( 1/4 ) of girls

So , the total fraction A = ( 2/3 ) + ( 1/4 )

The total fraction of girls with either blue of brown eyes A = ( 11/12 ) of girls

And , fraction of the girls in class that have neither blue or green eyes is given by B = 1 - A

On simplifying , we get

The fraction of the girls in class that have neither blue or green eyes is given by B = 1 - 11/12

The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12

Therefore , the value of B is ( 1/12 ) of the girls

Hence , the fraction is 1/12 of the girls

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

Michael = 210 / 3.5 = 60 miles per hour

Jordan = 330/ 6 =55 miles per hour

Michael drove 5 miles per hour faster than Jordan

Answer:

M 5

Step-by-step explanation:

The inequality that represents the given situation is (8x + 4y [tex]\geq[/tex] 1500) and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the inequality that describes the number of hours you want to work each week to reach your summer goal of at least $1500:

Step 1 - Let the number of hours you babysit for Mrs. Harris be 'x' and the number of hours you babysit for Mrs. Sanchez be 'y'.

Step 2 - So, the inequality that represents the given situation is given below:

8x + 4y [tex]\geq[/tex] 1500

Now, the average per week can be determined by dividing 1500 by 10. So, you have to make $150 per week.

For more information, refer to the link given below:

https://brainly.com/question/19491153

Answer: [tex]59.8^{\circ} F[/tex]

Step-by-step explanation:

Given : Joaquin recorded a temperature of 62°F this morning for science class.

The temperature increased [tex]6\dfrac{1}{2}^{\circ}F[/tex] in the afternoon before decreasing 8.7°F in the evening.

We can write [tex]6\dfrac{1}{2}[/tex] as [tex]6+\dfrac{1}{2}=6+0.5=6.5[/tex]  .

Now According to the question , the temperature at evening will be :-

[tex]62^{\circ}F+6\dfrac{1}{2}^{\circ}F-8.7^{\circ}F\\\\=62^{\circ}F+6.5^{\circ}F-8.7^{\circ}F\\\\=(62+6.5-8.7)^{\circ}\ F=59.8^{\circ}\ F[/tex]

Hence, the evening temperature was [tex]59.8^{\circ} F[/tex] .

Answer:

The right answer is C I took the assessment

The solution is:

x = (z - y)/(a - b), represents the formula that could be used to find x, from the expression ax - bx + y = z.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the expression is:

ax - bx + y = z

now, we have to : Solve for x

Subtract y on both sides:                    

ax - bx = z - y

Factor GCF:                                        

x(a - b) = z - y

Isolate x:                                              

x = (z - y)/(a - b)

Hence, The solution is:

x = (z - y)/(a - b), represents the formula that could be used to find x, from the expression ax - bx + y = z.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ3

The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and 1/24 inches. Therefore the correct option is H.

Step 1: Convert mixed numbers to improper fractions

For Week 1, we have 2 2/3 inches, which is a mixed number. We convert it to an improper fraction. Since 2 is equal to 6/3, adding 2/3 gives us 8/3 inches.

Step 2: Sum up the rainfall for all weeks

Now we add the rainfall for each week:

- Week 1: 8/3 inches

- Week 2: 1/8 inches

- Week 3: 1 3/4 inches, which is the same as 7/4 inches when converted to an improper fraction.

- Week 4: 1/2 inches

Step 3: Calculate the total rainfall

The total rainfall for April is the sum of all these amounts.

Let's perform this calculation.

The total amount of rainfall in Maryville for the month of April, when summed up and expressed as an improper fraction, is \( \frac{121}{24} \) inches.

This total is reached by adding the rainfall for each week:

- Week 1's rainfall is [tex]\( \frac{8}{3} \)[/tex] inches.

- Week 2's rainfall is [tex]\( \frac{1}{8} \)[/tex] inches.

- Week 3's rainfall is [tex]\( \frac{7}{4} \)[/tex] inches.

- Week 4's rainfall is [tex]\( \frac{1}{2} \)[/tex] inches.

Adding all these fractions together gives us the total rainfall for the month.
The total amount of rainfall in Maryville for the month of April, when expressed as a mixed fraction, is 5 and [tex]\( \frac{1}{24} \)[/tex] inches.

The sum (f + g)(x) of two functions f(x) = √(4x + 6) and g(x) = √(4x - 6) is determined by simply adding the two functions together, hence (f + g)(x) = √(4x + 6) + √(4x - 6).

The functions provided are f(x) = √(4x + 6) and g(x) = √(4x - 6). The question asks for the value of (f + g)(x), which is the sum of f(x) and g(x).

To find (f + g)(x), you simply add the two functions together. Hence, (f + g)(x) = f(x) + g(x) = √(4x + 6) + √(4x - 6).

This indicates that the function (f + g)(x) is the addition of the values of f(x) and g(x) at any given value of 'x'.

https://brainly.com/question/14996787

#SPJ12

Answer:Explained below

Step-by-step explanation:

"Owl no longer needs to watch as he already has one"

8.038 x 10 to the 8th power in standard form is 803,800,000, which is obtained by moving the decimal point 8 places to the right and filling in zeros as needed.

To answer the student's question about converting 8.038 x 10 to the 8th power to standard form, we need to recognize the concept of scientific notation. When a number is written in scientific notation with a positive power of 10, like 8.038 x 108, it means the decimal point will move to the right the number of times indicated by the exponent. In this case, 8 places. So starting from 8.038, move the decimal point eight places to the right to convert it into standard form.

By doing so, we add zeros to fill in the places as we move the decimal point: 803,800,000. Therefore, 8.038 x 10 to the 8th power in standard form is 803,800,000.

To find the total number of pairs of skates rented in April and May, multiply the number rented in April by 3 and add it to the number rented in May. The total number rented is 872 pairs.

To find the number of pairs of skates rented during April and May, we need to know the number of pairs rented in April and the number rented in May. We are given that 218 pairs were rented in April and that 3 times that amount were rented in May. To find the total, we can multiply the number rented in April by 3 and add it to the number rented in May.

Total number rented = (218 pairs in April) + (3 * 218 pairs in May)

Total number rented = 218 pairs + 3 * 218 pairs = 218 pairs + 654 pairs = 872 pairs

https://brainly.com/question/724536

#SPJ3

Answer:

The area of the park is 2.45 acres

Step-by-step explanation:

In order to get a number exactly between other two numbers, you have to add them and then divide that result by two. In a mathematical expression: (a + b)/2, where a and b are those two numbers. In this case, the exactly between 2.4 and 2.5 acres is (2.4 + 2.5)/2 = 2.45 acres.

The most precise value of the density of the egg will be 1.18 g / mL.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Weight of the egg = 57 g

Volume = 48.25 mL

Now,

Since, Weight of the egg = 57 g

Volume = 48.25 mL

We know that;

⇒ Density = Mass / Volume

Substitute all the values, we get;

⇒ Density = 57 g / 48.25 mL

                = 1.18 g / mL

Thus, The density of the egg = 1.18 g/mL

Learn more about the divide visit:

https://brainly.com/question/844312

#SPJ5