Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5

A box of nails weighs 130 pounds when it is 2/3 full. It weighs 74 pounds when it is 3/8 full. What is the weight of the box?

Mumz [18]

You take 130 divide by 2 to get 65 when its 1/3 full. Times 3 to 65 when its 3/3 full meaning full. 165 is your answer.

4 0

3 years ago

(-1/8c+16)-(3/8+3c) difference

zloy xaker [14]

Answer:

-25 (c-5) / 8

Negative 25 (c-5) over 8

5 0

3 years ago

Read 2 more answers

Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o

exis [7]

Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

So we will arrange this in our equation and solve the quadratic.

$(x+2)(x+4) =528$

$x^{2}+4(x)+2(x)+8 =528$

$x^{2}+4(x)+2(x)+8-528=0$

$x^{2}+6(x)-520=0$

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation $ax^{2}+b(x)+c=0$ ,here $a=1,b=6\ and\ c=-520$ .

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

$x=20,-26$

We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

And the age of the the oldest brother $=(x+6)=(20+6)=26$ years.

The age difference is of $(26-20)=6$ years.

4 0

4 years ago

Please explain how you got your answer!!! The dot plots below show the ages of students belonging to two groups of salsa classes

Rudik [331]

Answer:

Group b most likely has a lower mean age of salsa students

Step-by-step explanation:

Arithmetic Mean of the data is the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Here we are given with two groups that are Group A and Group B

both having total number of students = 20

Here the mean age of the data is addition of the all ages of different students divided by total number of students.

For group a

total age of the group = 3 × 5 + 4 × 10 + 6 × 17 + 4 × 24 + 3 × 29

= 15 + 40 + 102 + 96 + 87

=340

The mean age of salsa students= 340 ÷ 20 = 17

For group b

total age of the group = 6 × 7 + 3 × 10 + 4 × 14 + 5 × 16 + 2 × 21

= 42 + 30 + 56 + 80 + 42

=250

The mean age of salsa students= 250 ÷ 20 = 12.5

So the group b most likely has a lower mean age of salsa students

Learn more about Arithmetic Mean here - brainly.com/question/24688366

#SPJ10

7 0

2 years ago

Trevor and $826 on account during 2.5% annual interest for seven years.

photoshop1234 [79]

Trevor invested $ 4720

Solution:

Given that, Trevor earned $ 826 on account during 2.5% annual interest for seven years

We can simple interest formula

The formula for simple interest is given as:

$\text{ Simple Interest } = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"n" is the number of years

"r" is the rate of interest

Here given that,

Principal = p = ?

rate of interest = r = 2.5 %

number of years = n = 7

Simple interest earned = 826

Substituting the values in above formula,

$826 = \frac{p \times 7 \times 2.5}{100}\\\\82600 = p \times 7 \times 2.5\\\\82600 = 17.5p\\\\p = \frac{82600}{17.5}\\\\p = 4720$

Thus he invested $ 4720

7 0

3 years ago