1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
3 years ago
8

If the point (p,-5) is on the graph of the equation 6x-3y=21, find the value of p

Mathematics
1 answer:
miv72 [106K]3 years ago
3 0

\bf (\stackrel{\stackrel{x}{\downarrow }}{p},\stackrel{\stackrel{y}{\downarrow }}{-5})~\hspace{10em}6x-3y=21\implies 6x-3\stackrel{\stackrel{y}{\downarrow }}{(-5)}=21 \\\\\\ 6x+15=21\implies 6x=6\implies x=\cfrac{6}{6}\implies \stackrel{\stackrel{p}{\uparrow }}{x}=1

You might be interested in
Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.
baherus [9]
Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.

I know this because the steps to solve the problem are:

1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)

2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)

3.) determine that it takes Mary 333 days

4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)

5.) 52.631x6 = 316 (just like in step 2 but different numbers)

6.) determine it takes Julie 316 days

7.) 316 < 333 (takes Julie less time)
6 0
3 years ago
Read 2 more answers
Prove that 25^9+5^17is divisible by 30
VLD [36.1K]

Answer:

proof is below

Step-by-step explanation:

Answer:

25^9 + 5^17=

=2^18 + 5^17

=5^17(5+1)

=5^17×6

=5^16×30  is divisible by 30

6 0
2 years ago
Find the value of x please and thank you
Pachacha [2.7K]

Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

\angle DE F\cong \angle GEH          (Common angle)

\angle EDF\cong \angle EGH          (Corresponding angle)

\Delta DE F\sim \Delta GEH             (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

\dfrac{DE}{GE}=\dfrac{DF}{GH}

\dfrac{9+(x+5)}{x+5}=\dfrac{12}{6}

\dfrac{x+14}{x+5}=2

x+14=2(x+5)

x+14=2x+10

Isolating variable terms, we get

x-2x=-14+10

-x=-4

x=4

Therefore, the value of x is equal to 4.

3 0
3 years ago
A searchlight rotates through one complete revolution every 4 seconds. How long does it take the light to rotate through 90 degr
frez [133]
1 full revolution=360
4seconds=360degrees
how many seconds is 90 degrees
4:360=x:90
4/360=x/90
simpllfiy
1/90=x/90
1=x

answer is 1 second
6 0
3 years ago
Read 2 more answers
Solve the following equation:<br><br> 3 x one half
Kamila [148]
<h3>hello!</h3>

==========================================================

Let's simplify the expression:-

\bigstar{\boxed{\frac{3}{1} *\frac{1}{2}}

Multiply 3 times 1 and 1 times 2:-

\bigstar{\boxed{\pmb{\frac{3}{2} }}

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

6 0
2 years ago
Other questions:
  • Melcher used 24% if the memory card on his digital camera while taking pictures at a family reunion. If melcher took 96 pictures
    11·1 answer
  • Help me on these and please explain ASAP
    15·1 answer
  • Im confused on this one !
    13·1 answer
  • What is the answer with this math
    11·2 answers
  • A padlock has a 4 digit key code
    9·1 answer
  • A garment shop earns a profit of ₹100 on every shirt and loss ₹50 on every sale of half pant. (1) The shop sells in a month 50 h
    9·1 answer
  • Describe the slope of these lines what do we call these lines?
    11·1 answer
  • I need help with this
    8·2 answers
  • Whats is 3(x + 2)<br> May give a Brainleist to the best answerers<br> 2 people
    12·2 answers
  • I wil give 10 points if correct thankyou
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!