Graph the line passing through (-6,-3) whose slope is m=2

The total weight of the golf balls from Julio’s golf bag was 273 grams. If each golf ball weighed 45.5 grams, which graph shows

MariettaO [177]

ANSWER:

A

EXPLAIN:

Since all the six balls have same weight and the total weight is given as 273g, then weight of one ball will be

273/6=45.5 g

1 ball=45.5 g

2 balls =2*45.5=91 g

3 balls =3*45.5=136.5 g

4 balls=4*45.5=182 g

5 balls =5*45.5=227.5 g

6 balls =6*45.5=273 g

7 0

3 years ago

Nth term of 4,11,18,25

romanna [79]

18 is the answer because eighteenth has nth in the ending

8 0

3 years ago

Read 2 more answers

SOLVE FOR M <br><br> −4m+7=−5

Masteriza [31]

Answer:

m=3

Step-by-step explanation:

-4m+7= -5

Combine like terms.Put +7 on other side.

-4m= -5-7

-4m= -12

It's -4 times m = -12 right ?

So the answer is m=3 because m= -12/-4

6 0

3 years ago

56 students signed up for the school play. About 34% of these students were boys. At the auditions only 31 girls attended. What

Elza [17]

56 students represents 100 % and

X boys represent 34%,

so x= 56•34/100= 19.04 so approximately 19 boys

56-19= 37 girls signed up.

Now 37 girls represent 100% and 31 girls represent x % ,

So x= 31•100/37= 83.78% about 84% of the girls attended

3 0

3 years ago

Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four

Alina [70]

Answer:

Step-by-step explanation:

(a)

Suppose we came up with an ideology whereby we pick a value for the length including the length dividing the inside into 4 parts(5 parallel sides), then we can get the value for breath by using the following process.

Let assume the length of the rectangle is 50;

Then, the breath can be calculated as follows:

= 50 × 5 = 250 ( since the breath is divided into 5 parallel sides)

The fencing is said to be 950 ft

So, 950 - 250 = 700

Then divided by 2, we get:

= 700/2

= 350

So for the first diagram; the length = 50 and the breath = 350

The area = 50 × 350 = 17500 ft²

Now, let's go up a little bit.

If the length increase to 100;

Then 100 × 5 = 500

⇒ 950 - 500 = 450

⇒ 450/2 = 225

The area = 225 × 100 = 22500 ft²

Suppose the length increases to 150

Then 150 × 5 = 750

⇒ 950 - 750 = 200

⇒ 200/2 = 100

The area = 150 × 100 = 15000 ft²

The diagrams for each of the outline above can be seen in the image attached below.

(b) The diagram illustrating the general solution can be seen in the second image provided below.

(c) The expression for the total area A in terms of both x and y is:

Area A = x×y

(d) Recall that:

The fencing is said to be 950 ft.

And the length is divided inside into 5 parallel sides;

Then:

5x + 2y = 950 (from the illustration in the second image below)

2y = 950 - 5x

$y = \dfrac{950}{2} - \dfrac{5}{2}x$

$y = 475- \dfrac{5}{2}x$

(e)

From (c); replace the value of y in (d) into (c)

Then:

Area A = x×y

$f(x)= x\times ( 475 -\dfrac{5}{2}x)$

Open brackets

$f(x)= ( 475 x-\dfrac{5}{2}x^2)$

(f)

By differentiating what we have in (e)

$f(x)= ( 475 x-\dfrac{5}{2}x^2)$

$f'(x)= ( 475 (1)-\dfrac{5}{2}(2x))$

$f'(x)= 475 -5x$

$\implies 475 = 5x$

x = 475/5

x = 95

From (d):

$y = 475- \dfrac{5}{2}x$

$y = 475- \dfrac{5}{2}(95)$

$y =237.5$

∴

Area A = x × y

Area A = 95 × 237.5

Area A = 22562.5 ft²

5 0

3 years ago