Answer:
[tex]x=1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]30-3x=15+12x[/tex]
First, let's add 3x to both sides. The left side cancels:
[tex]30=15+15x[/tex]
Now, subtract 15 from both sides. The right cancels:
[tex]15=15x[/tex]
Divide both sides by 15:
[tex]x=1[/tex]
So, the value of x is 1.
And we're done!
Answer:
1 =x
Step-by-step explanation:
30 - 3x = 15 + 12x
Add 3x to each side
30 - 3x+3x = 15 + 12x+3x
30 = 15x +15
Subtract 15 from each side
30-15 = 15x+15-15
15 =15x
Divide each side by 15
15/15 = 15x/15
1 =x
the AP in which 4th term is - 15 and 9th term is - 30 find the sum of the first 10 number
Answer:
5
Step-by-step explanation:
HELPPPPP!!!! tHIS IS REALLY HARD!!!!!
Answer: J.
Step-by-step explanation: -tanx i believe
Answer:
H: 2
Step-by-step explanation:
[tex]\frac{\sqrt{1-\cos ^2\left(x\right)}}{\sin \left(x\right)}+\frac{\sqrt{1-\sin ^2\left(x\right)}}{\cos \left(x\right)}[/tex]
LCM is [tex]\cos \left(x\right)\sin \left(x\right)[/tex]
Adjust fractions:
[tex]\frac{\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}+\frac{\sqrt{1-\sin ^2\left(x\right)}\sin \left(x\right)}{\cos \left(x\right)\sin \left(x\right)}[/tex]
Combine:
[tex]\frac{\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)+\sqrt{1-\sin ^2\left(x\right)}\sin \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}[/tex]
--------------------------------------------------------
We will take a look at [tex]\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)[/tex].
Using the identity that [tex]\cos ^2\left(x\right)+\sin ^2\left(x\right)=1[/tex], we know that [tex]1-\cos ^2\left(x\right)=\sin ^2\left(x\right)[/tex].
Therefore, [tex]\sqrt{1-\cos ^2\left(x\right)}\cos \left(x\right)=\sqrt{\sin ^2\left(x\right)}\cos \left(x\right)=\sin \left(x\right)\cos \left(x\right)[/tex]
-----------------------------------------------------------------------------------------------
Similarly, [tex]1-\sin ^2\left(x\right)=\cos ^2\left(x\right)[/tex] so
[tex]\sqrt{1-\sin ^2\left(x\right)}\sin \left(x\right)=\sqrt{\cos ^2\left(x\right)}\sin \left(x\right)=\cos \left(x\right)\sin \left(x\right)[/tex]
-------------------------------------------------------------------------------
We will finally end up with
[tex]\frac{\sin \left(x\right)\cos \left(x\right)+\cos \left(x\right)\sin \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}[/tex]
Add:
[tex]\frac{2\sin \left(x\right)\cos \left(x\right)}{\sin \left(x\right)\cos \left(x\right)}[/tex]
Cancel out sin(x):
[tex]\frac{2\cos \left(x\right)}{\cos \left(x\right)}[/tex]
Cancel out cos(x):
[tex]2[/tex]
A town's pharmacy and hospital are 3 miles apart. If a map of the town has a
scale, where 1 inch=0.25 mile, what is the distance between the pharmacy and
the hospital on the map, in inches?
because we use simple rule of three
2 inches ---------------- 5 miles
20inch -------------- xmiles
x = 100/2
x = 50
ITS DUE IN 10 MINUTES PLEASE HELP find -5(10)(-4)
Answer:
200
Step-by-step explanation:
-5*10 = -50
-50*-4 = 200
Answer:
200
Step-by-step explanation:
-5 * 10 is equal to -50.
-50 * -4 = 200 ----- the two negatives cancel out, leaving a positive answer.
What is 9.2568 x 10-3 in standard notation?
Answer:
0.0092568
Step-by-step explanation:
10^-3 means to move the decimal 3 places to the left.
0.0092568
select the correct answer
Answer:
-4x^2+5x-28
Step-by-step explanation:
3x^2 +5x - 7(x^2 +4)
Distribute the -7
3x^2+5x-7x^2-28
Combine like terms
-4x^2+5x-28
How can the tiles be sorted? (I need it quick please)
Answer:
by fraction and decimals
Step-by-step explication:
Daniel works at Funplex. Last week, he worked for 12 hours and made $93.84. How much does Daniel make per hour?
Answer
$7.82
Step-by-step explanation:
12 hrs=$93.84
1 hr= 93.84/12
1 hr=$7.82
find the pattern for the following sequence, then use the pattern to show the next two terms. 1, 1, 2, 3, 5, 8, 13...
Answer I believe the next two terms are 21 and 34!
Step-by-step explanation:
the sequence is 1,1,2,3,5,8,13...
So for the first number, 1 + 0 is 1, for the next sequence 1 + 1 is 2, 1 + 2 is 3.
Add the number with the number behind it to get your next number!
8. One pound of fettuccine makes 5 cups cooked. How many cups will 3 pounds?
Step-by-step explanation:
1 pound = 5 cups
3 pounds = 5 ×3
= 15 cups
HELP ASAP!!!!!!
Which ratio is equivalent to this one?
9/10
16:20
18:20
Answer:
18/20
Step-by-step explanation:
You just have to multiply by 2
Answer:
18:20
Step-by-step explanation:
all you have to do is 9/10 times two and you see which one it is and then you get your answer
Can i be made brainliest
PLEASE HELP!!!!!!!!! A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters. Which equation can be used to find V, the volume of this silo in cubic meters? >> Please answer ASAP, I really appreciate your help :) I will give the first answer Brainliest if I can!
Answer:
311.41m3
Step-by-step explanation:
A=2πrh+2πr2
Sharon and Tim each opene a savings account on the same day. Sharon started by putting $15 in her account, and she will deposit an additional $7 each week. Tim made an initial deposit of $35, and he will add $3 more each week. Eventually, Sharon and Tim will each have the same amount saved. What is that amount?
Answer:
Step-by-step explanation:
Sharon y = 7x + 15
Tim y = 3x + 35
7x + 15 = 3x + 35
4x + 15 = 35
4x = 20
x = 5 weeks
Sharon: 7(5) + 15 = 35 + 15 = $50
Tim: 3(5) + 35 = 15 + 35 = $50
A computer has a list price of $1,200. It is on sale for 30% off list. What is
the sale price of the computer?
A $840
B $800
0
$720
$360
Answer:
A. $840
Step-by-step explanation:
multiply 1200 x .70 = 840
Represent the quantity by an integer.
A company posted a net income loss of $14,870 million for the fiscal year 2005.
A net income loss of $14,870 million can be represented by
million dollars.
11 m
Find the area of the shaded region. All angles are right angles.
4 m
7 m
2 m
2 m
The area of the shaded region is m2.
(Simplify your answer.)
Answer: 82m2
Step-by-step explanation:
5/2x - 12 = 18 - 1/3x can yall help me im tryna get my grade up so im not a "failure" to my mom
Answer:
x= 180/17
Step-by-step explanation:
You will need to simplify both sides of the equation, which isolates the variable.
Round 374,462,894 to the nearest thousand. Explain each step of the process.
Answer:
374,463,000
Step-by-step explanation:
374,462,894
Identify the thousands spot and locate the digit next to it.
374,462,894
If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.
8 is greater than or equal to 5. We round up.
374,462,894 ≈ 374,463,000
Hope this helps.
Answer:
[See Below]
Step-by-step explanation:
✦ The number in the thousandth place is [tex]2[/tex].
✧ To round, look at the number to the right, in this case it's [tex]8[/tex].
○ If the number is greater than or equal to [tex]5[/tex], then round up.
○ If the number is less than [tex]5[/tex], round down.
✦ So then we would change the [tex]2[/tex] to a [tex]3[/tex].
✦ Then rewrite the number:
✧ [tex]374463000[/tex]
~Hope this helps Mate. If you need anything feel free to message me.
gfc simplified fraction 20 16
Answer:
The gcf of 20 and 16 is 4
Step-by-step explanation:
you would write out the factors of 20 so like 1,2,4,5,10,20 and the factors of 16 so like ,1, 2, 4, 8, 16.
Hope this helps
The formula for the volume of a pyramid is V=⅓Bh, where B is the area of the base of the pyramid and h is the height of the pyramid.
What is the volume of this pyramid in cubic inches?
Answer:
80
Step-by-step explanation:
v=lwh/3= 5*6*8/3 = 80
The volume of this pyramid in cubic inches is 80 inch³.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
We have,
V = (1/3) (b) (h)
So, the Volume of Pyramid is
= 1/3 x base aera x height
= 1/3 x 5 x 6 x 8
= 5 x 2 x 8
= 80 inch³
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ7
One week, Wyatt earned $70.40 at his job when he worked for 4 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $281.60?
Answer: 8 hours
Step-by-step explanation: he gets 70.40$ to work for 4 hours so you'll have to multiply 4 by 70.40 to represent it's doubling to 8 and you'll get 281.60
70.40x4=281.60
so add this 4 to the other 4 it makes 8 because that's how much it would take to get there 4 steps up to really =8
i'm sooo dificult
Solve each equation for the indicated variable 22. 12(m+3x)=18(x-3m);m
Answer:
m
Step-by-step explanation:
An entry level designer's annual pay is $49,868 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its designers. If the firm cuts the work year to 50 weeks but keeps the same rate of pay, how much should the designer expect his annual pay to decrease? Round your answer to the nearest dollar.
Answer: his pay will decrease by $1,918
Step-by-step explanation:
49868/52 = 959
959 × 50 = 47950
49868 - 47950 = 1918
I have an exam tomorrow, wish me luck.
Answer:
good luck
Step-by-step explanation:
Answer:
Good luck on your exam!
what steps could be used to solve the equation 1 + 3x = -x + 4.
Answer:
Combing like terms
Step-by-step explanation:
Answer: x = 3/4
Step-by-step explanation:
1+3x = -x+4
or, 1-4 = -x-3x
or, -3 = -4x
or, 4x = 3
or, x = 3/4
so, x = 3/4
HELP ME PLZ Between 9 P.M. and 6:20 A.M., the water level in a swimming pool decreased by 7/12 . Assuming that the water level decreased at a constant rate, how much did the water level drop each hour? The water level decreased by nothing in. each hour.
Answer:
0.06245
Step-by-step explanation:
Decrease 7/12=0.583
from 9 p.m to 6:20 am is 9:20= (9+20/60) = 9.33 hours
0.583/9.33 = 0.06248
round the 0.06248 to 0.06245
The diagram represents an enlargement of a rectangle by a scale factor of 4,
4 in
2 in
[Not drawn to scale]
Help ASAP
Answer:D 16inches by 8 inches
Step-by-step explanation:
Answer:
16 in by 8 in
Step-by-step explanation:
Which number is rational?
exploring real numbers
Answer:
you didnt give us numbers to choose from
Step-by-step explanation:
Answer:
any number that caan be written as a fraction.
Step-by-step explanation:
3 is rational 3/1
For x > 3, values of the function f(x) = –(x – 3)^2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses? Options: A) Both the additive inverse and the multiplicative inverse are positive. B) Both the additive inverse and the multiplicative inverse are negative. C) The additive inverse is positive, while the multiplicative inverse is negative. D) The additive inverse is negative, while the multiplicative inverse is positive.
For x > 3, values of the function f(x) = –(x – 3)2(x + 2) are negative. On this same interval, which statement correctly describes the values of the additive and multiplicative inverses?
Answer:
C) The additive inverse is positive, while the multiplicative inverse is negative.
Step-by-step explanation:
The answer is C on Edge. (VERIFIED Edge Answer)
Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.
Edge Tip: Answers do not mix or change.
Enter the fraction as a decimal. Use a repeating decimal if necessary.
14
11
Answer:
the answer is 14/11
Step-by-step explanation:
