Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answers
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
Related Questions
John works two jobs. He earns $10 an hour babysitting his neighbor's children and $15 an hour mowing lawns in his neighborhood. Last week he worked a total of 20 hours and earned a total of $240.
Drag and drop numbers in the boxes to create an equation which models this situation if x = the number of hours he spent babysitting and y = the number of hours he spent mowing lawns last week.
Answers
The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.
Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,
Establishing the equation, we get,
x+y = 20
x = 20-y......(i)
10x+15y = 240.......(ii)
Using the equation (i) in (ii), we get
10(20-y)+15y = 240
200-10y+15y = 240
5y = 40
y = 8
Put y = 8 in eq(i)
x = 20-8
x = 12
Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
For more references on equations, click;
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NEED HELP ASAP Which net represents the solid figure?
Net 1
Net 2
Net 3
Answers
Answer:
Net One <3
because the layout of the image includes length, which the other figures lack.
You're a contestant on a TV gameshow where you must choose between four identical looking suitcases containing $100, $100, $300, and $400. You start by randomly picking one suitcase. The host then opens the remaining suitcase with the lowest dollar amount. Now, you have the choice to keep your current suitcase or switch to one of the two remaining suitcases. With probability p= 0.7, you keep your original suitcase and open it. Otherwise, you are equally likely to choose either of two the remaining suitcases and open it. You win the money in the suitcase you opened.
Consider these events:
Ai is the event that the first suitcase you choose is worth i dollars.
Hi is the event that the host opens a suitcase worth i dollars.
Wi is the event that you win i dollars.
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
Answers
Answer:
0.2990 = 29.90%.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of winning $400 in a trial:
1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.
3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So
[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]
The probability is 0.2990 = 29.90%.
if susan, janice, and melvin take 2.0 hours to walk to their school at a rate of 1.0 m/s, how far is their school from their house?
please help me huhu
Answers
Answer:
7.2 km
Step-by-step explanation:
Given that:
Hours taken = 2 hours
Walk rate = 1 m/s
Distance = Speed * time
Time taken in seconds = 2 * 60 * 60 = 7200 s
Hence,
Distance = 1 m/s * 7200s
Distance = 7200 meters
Distance in km = 7200 / 1000 = 7.2 km
Brandy needs 1/4 tsp of
vanilla extract to make
2 dozen cookies. How
many teaspoons will
she need o make 5/2
dozen cookies?
Answers
Answer:
2/4 + 1/8................
if Rohans weight is t+6 kg and is 7 kg less than Rahul whose weight is 54 kg. What is the value of t
Answers
Answer:
T = 41
Step-by-step explanation:
Rohan's weight = t+6
Rahul's Weight = t+6+7 = 54
t = 54 - 6 - 7
t = 41
6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST
Answers
Answer: 380952381 / 1000000000
Step-by-step explanation:
:)P.s. This simplifies to 8/21 .
Answer:
8/21
Step-by-step explanation:
Will the sum of 56+ (-56) be Positive negative or zero
Answers
Answer:
the answer would be 0 i presume
Step-by-step explanation:
ty for reading :P
A table is on sale for $289, which is 32% less than the regular price.
What is the regular price?
Answers
Answer:
[tex]R = \$903.125[/tex]
Step-by-step explanation:
Given
[tex]Selling\ Price = \$289[/tex]
[tex]Rate = 32\%[/tex]
Required
Determine the regular price (R)
From the question, we understand that:
[tex]R * 32\% = \$289[/tex]
So, we have:
[tex]R * 0.32 = \$289[/tex]
[tex]R = \frac{\$289}{0.32}[/tex]
[tex]R = \$903.125[/tex]
Hence, the regular price is $903.125
Please help ASAP!!! And explain how you did it too :,)
Answers
im not sure but i hope someone can explain
What is the rate of return when 30 shares of Stock
A, purchased for $15/share, are sold for $480? The
commission on the sale is $6.
Rate of Return = [?] %
Give your answer as a percent rounded to the
nearest tenth
Answers
Answer:
5.1%
Step-by-step explanation:
We are told that 30 shares of Stock are purchased for $15/share..
This gives a total value of: 30 × 15 = $450.
Now,they are sold for $480 with a commission of $6. This means the final money getting to the seller is; 480 - 6 = $474.
Thus; rate of return percentage = (474 - 450)/474) × 100% = 5.06%
To the nearest tenth gives; 5.1%
The rate of return is 5.1%.
Given that,
A, purchased for $15/share, are sold for $480.The commission on the sale is $6.Based on the above information, the calculation is as follows:
The total value should be
[tex]= 30 \times 15[/tex]
= $450.
Since it is sold for $480 along with commission of $6 so final money should be
= 480 - 6
= $474.
Now rate of return is
[tex]= ((474 - 450)\div 474) \times 100%[/tex]
= 5.06%
= 5.1%
Learn more: brainly.com/question/17429689
2/7 divided by 6 can you answer my question
Answers
Answer:1/21
Step-by-step explanation:
7.1 x 10-^2 in scientific notation
Answers
Answer:
71*10⁻³
Step-by-step explanation:
7.1 x 10-^2 = 7.1*10⁻² = 71*10⁻³
Linda has a watering can with a capity of 3 liters. Each day, her plants need 6,000 milliliters of water. How many times does Linda have to fill her watering can to water all of her plants daily?
Answers
Answer:
2 times each day
1 liter is 1000 milliliters
the watering can has a capacity of 3 liters which is 3000 milliliters
her plants need 6,000 milliliters of water each day which means that she will need to fill her watering can twice a day.
If you are given side lengths of 6 cm and 9 cm and a 70 angle, Can you form
a. Unique triangle
b. More than one triangle
C. No triangle
Answers
100POINTS! SHOW WORK OR I REPORT
Answers
AM = 65
AB = 12x+40
AM + BM = AB
65 + X = 12x+40
65-40 = 12x-x
15 = 11x
x = 1.36
But in the question he should gave you BM
If M is the midpoint then then AM is AB/2
[tex]\\ \sf\longmapsto \dfrac{12x+40}{2}=65[/tex]
[tex]\\ \sf\longmapsto 12x+40=65(2)[/tex]
[tex]\\ \sf\longmapsto 12x+40=130[/tex]
[tex]\\ \sf\longmapsto 12x=130-40[/tex]
[tex]\\ \sf\longmapsto 12x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{12}[/tex]
[tex]\\ \sf\longmapsto x=7.5[/tex]
Express the interval shown on the number line in interval notation.
Answers
Answer:
[-7, infinity)
Step-by-step explanation:
solid dot on -7 so [
arrow is to positive infinity
infinity always use )
Help me out please Real answers only pleasee
Answers
Answer:
y=800(1.15)^x ---> Growth factor: 15%
y=3(0.85)^x ---> Decay factor: 15%
y=2000(4/5)^x --> Decay factor: 20%
y=0.3(0.5)^x ---> Decay factor: 50%
y=1200(1.05)^x Growth factor: 5%
(If b is less than 1, the graph is an exponential decay. If b is more than 1, the graph is an exponential growth.)
What does it mean to be a Rigid Motion?
Answers
Answer:
Rigid Motion: Any way of moving all the points in the plane such that. a) the relative distance between points stays the same and. b) the relative position of the points stays the same. There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection.
~Sophia
The diameter of a round rug is 42 inches. What is the approximate area of the rug?
A. 5,539 square inches
B. 10 square inches
C. 38 square inches
D. 1,385 square inches
Answers
Answer:
D, It would be 1,385 Square Inches
Step-by-step explanation:
Questions
25/(4+1) .
3+(6-1)
Answers
Answer:
Step-by-step explanation:
[tex]1) \frac{25}{(4 + 1)}=\frac{25}{5}=5\\\\2) 3 + (6-1) = 3 + 5 = 8[/tex]
Miguel is posting photos on a school website. He has 48 photos, and he is allowed to use 12 pages. He wants to put the same number of photos, p, on each page.
1.) 48p = 12
2.) 12 + p = 48
3.) 12p = 48
4.) 48 = p - 12
Answers
Answer:
The answer is 3.)
Step-by-step explanation:
Answer:
3. 12p = 48
Step-by-step explanation:
Start with 12p = 48
Your goal is to find the number of photos, p, that can go on each page. To do this, you need to isolate p (in other words, get p by itself)
Divide both sides by 12 and you end up with:
p = 4
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answers
Answer:
45%
Step-by-step explanation:
4. What is the circumference of a circle with a radius of 4 cm?
Answers
Answer:
25.13
Step-by-step explanation:
2 π r
2 x π x 4 =25.13
here is a scale drawing of a garden. Tom wants to plant A tree in the garden according to the following rules it must be 6 m from A and 5 m from B. Place a cross where Tom can plant the tree
Answers
Make a circle with centre A and radius 3cm and make another circle with centre B and radius of 2.5cm. After that just mark the a cross where both circle intersects. Hope you understand
Does anyone know the answer to this ?
Answers
Answer:
2.5mph
Step-by-step explanation:
S = Distance divided by Time (S = D/T)
Therefore.
S = 15/6
=2.5 mph
Colin walked an average speed of 2.5mph
Answer:
the answer is 2.5 mph
Step-by-step explanation:
speed= distance/time
speed=15/6
15 divided by 6 = 2.5
Mica read 1/6 of a book on Monday and 3/8 on Tuesday. Susan read 5/6 of the same book.
How much more of the book has Susan read than Mica?
A. 14/24
B. 8/24
C. 7/12
D. 7/24
Answers
What is the solution to -4(8 - 3x) 6x - 8?
Help
Answers
Answer:
-40+ 72x
Step-by-step explanation:
-32+12x ×6x-8
-32-8 +12x× 6x
-40 +72x
=72x^2 - 192x - 8
find the value of x?
Answers
Answer:
90
Step-by-step explanation:
90 degrees minus 35 degrees equals 65 degrees
90 minus 35 is 65 degrees
help me I need an answer
Answers
Hope this helps
Have a great day/night
