$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{6em}\underset{y-intercept}{\stackrel{slope}{y=\stackrel{\downarrow }{4}x\underset{\uparrow }{-5}}}\qquad \qquad \begin{cases} slope\\ \qquad 4\\ y-intercept\\ \qquad (0,-5) \end{cases}$

6 0

4 years ago

Find the value of the variable and LN if M is between L and M LM=4a,MN=8a,LM=40

Zanzabum

LN = 120 and a = 10

Step-by-step explanation:

If we need to find the variable a as, LN is the line and M is the mid point between L and N. So LN = LM + MN

LM = 4a = 40

a = $\frac{40}{4}$ = 10

MN = 8a = 8×10 = 80

So LN = LM + MN

LN = 40 + 80 = 120

7 0

3 years ago

Red roses come 3 to a package, and white roses come 5 to a package. If an equal number of red and white roses are wanted to make

Katen [24]

Answer:

B :- 15

Step-by-step explanation:

Given:

A package of red rose contains = 3 pieces

A package of white rose contains = 5 pieces

If an equal number of red and white roses are wanted to make bouquets, what is the minimum number of each that can be purchased ?

Solution:

As here given that there are two types of package of roses, red roses come 3 pieces to each packet and white roses come 5 pieces to each packet and we have to find equal minimum number of red roses as well as white roses to be purchased, we will simply find the Lowest common multiple of 3 and 5.

Multiples of 3 :- 3, 6, 9,12, 15, 18, 21, 24

Multiples of 5 :- 5, 10, 15, 20, 25

Lowest common multiple is 15, that means 15 is the minimum number of pieces of each that can be purchased to make bouquets.

And number of packets of red rose have to purchase = 3 $\times$ 5 = 15, 5 packages.

And number of packets of white rose have to purchase = 5 $\times$ 3 = 15 , 3 packages.

4 0

3 years ago

Read 2 more answers

Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an a

juin [17]

Answer:

600 miles.

Step-by-step explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

$$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600$

Mai has to drive 600 miles for the two plans to cost the same-

4 0

3 years ago