Answer: x = -1
Remove parentheses
Calculate
Move the terms
collect like terms, calculate.
divide both sides.
Answer: x = -1
3(x + 1) = -2(x-1) - 4 (Expand by distributing)
3x + 3 = -2x + 2 - 4 (Rearrange the terms so that the terms with a variable of x are on one side)
3x + 2x = 2 - 4 - 3 (Collect like terms)
5x = -5 (Divide both sides by 5 to isolate for x)
x = -1
∴ x = -1.
What is the ratio of the two quantities? Warning: different units! a 4 seconds to 2 min
Answer:
17:420
Step-by-step explanation:
17 seconds : 7 minutes
7 minutes = 420 seconds
17:420
The ratio of time measurements in two different units is 1/30.
What is Ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Given are the time measurements in two different units.
Converting 2 minutes into seconds -
2 min = 2 x 60 = 120 seconds
Now, 4 seconds to 120 seconds can be written as fraction below -
x/y = 4/120 = 1/30
Then, the ratio will be -
x : y = 1 : 30
Therefore, the ratio of time measurements in two different units is 1:30
To solve more questions on Ratios, visit the link below-
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consider this algebraic expression:
5 + 3x – 1 + 4x
Use the algebra tiles to collect like terms.
What is the simplified expression?
Answer:
7x+4
Step-by-step explanation:
mark me brainliest pls
Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours ?
Answer:
The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B =35.. a. Determine the pdf of X and sketch the corresponding density curve.
Step-by-step explanation:
I think :/
Answer:
150
Step-by-step explanation:
Hope this helped you!!
About 3.9×10^7 people live in California. About 1.7×10^6 people live in Idaho. About how many more people live in California than live in Idaho?
Answer:
37.3 x 10⁶
Step-by-step explanation:
Given parameters:
Number of people in California = 3.9 x 10⁷
Number of people in Idaho = 1.7 x 10⁶
Unknown:
How many more people live in California than live in Idaho = ?
Solution:
To find the number of people living in California more than Idaho, simply find the differences between the number of their population;
= 3.9 x 10⁷ - 1.7 x 10⁶
= 39 x 10⁶ - 1.7 x 10⁶
= (39 - 1.7) x 10⁶
= 37.3 x 10⁶ people
So, 37.3 x 10⁶ more people live in California than Idaho
1. The assessed value of the Sanchez house is $485,000. The
annual property tax is rate 2.975% of the assessed value.
What is the annual property tax on the Sanchez house?
20 points & Brainliest
Why are rotations a rigid motion?
Answer:
RC,\α is a rigid motion.
Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.
the motion follows in a circularmanner with C as the center.
consider a point Q which changes to Q1 after rotation by an angle\alpha
Step-by-step explanation:
When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.
Carl wrote three numbers between 0.47 and 0.48 What numbers did Carl write?
Answer:
Three examples are 0.471, 0.472, 0.473.
Always remember there are more than 2 place values in decimals! Do not be afraid to extend it. Have a nice day and mark brainliest if possible :)
This is a 2x2 identity matrix:
True
Or
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
What are the factors of x2+3x-40
PLEASE HELP WORTH 40 POINTS FOR WHOEVER ANSWERS CORRECTLY!!!! PLEASE HELP
1. Refer to the equation 3x − 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair and validated the points were on the line.
Answer:
x = 1 ⇔ y = -2.4
x = 2 ⇔ y = -1.8
x = 3 ⇔ y = -1.2
x = 4 ⇔ y = -0.6
Step-by-step explanation:
[tex]3x-5y=15[/tex]
→ Rearrange to make y the subject
[tex]-5y=-3x+15[/tex]
→ Multiply everything by -1
[tex]5y=3x-15[/tex]
→ Divide everything by 5
[tex]y=0.6x-3[/tex]
⇒ Substitute x = 1, 2, 3 and 4
[tex]y=0.6x-3\\ y=(0.6*1)-3\\ y=0.6-3\\ y=-2.4\\(1,-2.4)[/tex]
[tex]y=0.6x-3\\ y=(0.6*2)-3\\ y=1.2-3\\ y=-1.8\\(2,-1.8)[/tex]
[tex]y=0.6x-3\\ y=(0.6*3)-3\\ y=1.8-3\\ y=-1.2\\(3,-1.2)[/tex]
[tex]y=0.6x-3\\ y=(0.6*4)-3\\ y=2.4-3\\ y=-0.6\\(4,-0.6)[/tex]
The constant of proportionality of this table is
Cups of
blue paint
cups of
yellow paint
2 10
1
Answer:
Step-by-step explanation:
1/2
Which one is > greater or < less than or = equal to?? 6+√8____√6+8
[tex]\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }[/tex]
[tex]6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }[/tex]
Given z1 = StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) ) and z 2 = (Cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction Pi Over 2 EndFraction) ) , what is the value of z1 – z2?
cos(0) + isin(0)
cos(0) – isin(0)
cos(Pi) + isin(Pi)
cos(Pi) – isin(Pi)
Answer: C. cos(Pi) + isin(Pi)
Step-by-step explanation:
The value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).
What are complex numbers?A complex number is an element of a number system that includes real numbers and a specific element labeled i sometimes known as the imaginary unit, and which obeys the equation i² = 1. Furthermore, every complex number can be written as a + bi, where a and b are both real values.
How to solve this problem?We know that cos(π - x) = - cosx, sin(π - x) = sinx, cos(π/4) = 1/√2 = sin(π/4), cos(π/2) = 0, sin(π/2) = 1, cos(π) = - 1, sin(π) = 0.
Given that z₁ = √2[cos(3π/4) + isin(3π/4)] = √2[cos(π - π/4) + sin(π - π/4)] = √2[- cos(π/4) + sin(π/4)] = √2[- 1/√2 + 1/√2] = √2[0] = 0
and z₂ = cos(π/2) + isin(π/2) = 0 + i × 1 = 1
Now, z₁ - z₂ = 0 - 1 = - 1 = - 1 + i × 0 = cos(π) + isin(π)
Therefore, the value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).
Learn more about complex numbers here -
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Write 81% as a fraction. There is no need to simplify your answer.
Answer:
81/100
Step-by-step explanation:
Answer:
81/100
Step-by-step explanation:
can y’all please answer this
Answer: 35 , 14
Step-by-step explanation:
[3(-2)^2-4 ]+[8 (3)-3] [8(3)-3] -[ 3(-1)^2-4]
35 14
The regular admission price for an amusement park is $72. For a group of 15, or more, the admission price is reduce by $25 per person. How many people need to be in a group to save $500?
=========================================
Explanation:
x = number of people
Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.
Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.
Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.
Set this equal to 500 and solve for x
25x = 500
x = 500/25
x = 20
------------
If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.
If 20 people go as one group, they pay 47x = 47*20 = 940 dollars
We have a savings of 1440-940 = 500 dollars. This confirms the answer.
All 20 people must go as one group if they want to save $500.
Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
10) A triangle is shown above. Glo Metri claims that the Pythagorean Theorem
can be used to solve for the missing side length x. Is Gio's claim correct? Why or
why not?
A. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
when the side lengths of a triangle are square numbers.
B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.
C. Yes, Gio's claim is correct because the Pythagorean theorem can be used to find
the missing side in any triangle.
D. Yes, Gio's claim is correct because the Pythagorean theorem can be used with any
triangle that is approximately right.
Answer:
B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used
with a right triangle.
Step-by-step explanation:
The pythagorean theorem which is given as a² + b² = c², only applies to right triangles. Where, c is the hypotenuse side length that is opposite to the right angle of the triangle, while a and b are the two other legs of the right triangle.
The triangle given above is not a right angle. The measure of the missing length = 180 - (60 + 40) = 80°.
A right ∆ has an angle measure of 90°. Therefore, the pythagorean theorem cannot be applied in this case to solve for the missing side length, x.
So, Gio's claim is INCORRECT.
-73.3 as a mixed number
Answer:
- 73 3/10
Step-by-step explanation:
Step 1:
- 73.3 = -733%
Step 2:
- 733% = - 73 3/10
Answer:
- 73 3/10
Hope This Helps :)
9514 1404 393
Answer:
-73 3/10
Step-by-step explanation:
Pronouncing a decimal number can help when you convert it to a mixed number. This one is ...
"negative seventy-three and three tenths"
Of course, expressing "three tenths" as a fraction, you have 3/10.
Then your number is ...
-73.3 = -73 3/10
are 3,000:18,000 and 10,000:32,000 equivalent
Answer:
No
Step-by-step explanation:
they are not equivalent
PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.
Answer:
a) y= 2x +3
b) y= ¼x +1
Step-by-step explanation:
Please see the attached picture for the full solution.
Further explanation:
b) y-intercept of A= 5
y-intercept of line= 5 -4= 1
Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre
What is the value of x in this equatain x/2 - x = x/4 + 6
Answer:
x=-8
Step-by-step explanation:
what are the real and imaginary parts of complex number -6+2i
The real part __
The imaginary part __
HELP ASAP!! WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Real number: -6 (for it is a constant)
Imaginary number is 2 & i (for it does not technically exist).
hope this helps
How many sandwiches must you sell to make $100 profit
Answer:
About 25 sandwiches...
Step-by-step explanation:
Answer:
67 sandwiches
Step-by-step explanation:
If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.
I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.
Can someone please tell me answerrrrrrr
Answer: B
Steps: $208.08
PLz mark brainliest:)
What is the correct counting for this measure of music?
A
B
C
????
Answer:
b
Step-by-step explanation:
A crotchet is one, a tied crotchet is 2-3, the quavers are 4 +
Evaluate each expression if a=5, b= -8, and c= -9.
g. b-10
h. a-b
I. c-a
Answer:
g. -18, h. 13, I. -14
Step-by-step explanation:
g. b-10=-8-10=-18
h. a-b=5-(-8)=5+8=13
I. c-a=-9-5=-14
The five young women who live in the houses shown on the plan below are currently at the salon, having their hair styled. Where does each woman live, and what is the color of her hair?
Clues:
1. The young woman with blonde hair lives next to and south of Arianna, who lives directly east of LaDonna.
2. Sara lives next to and south of Martha.
3. One of the five lives directly east of Joi, who lives farther north than the woman with silver hair.
4. The young woman with purple hair lives next to and north of the woman with black hair.
Answer:
Sara lives next to south of Maratha and has black hairs.
One women lives at the east of joi has purple hairs.
One women who has silver hairs lives in Moldova which is north to Joi.
The young women with blond hairs lobe to south of Arianna.
Step-by-step explanation:
There are five women who are at the salon for their hair care services. All of the women have different colored hairs. The women with blonde hairs live in Arianna which is south wast to the women who lives in Joi. The women who lives in Joi has purple hairs.
question 8/10 please and thank you
Answer:
80
Step-by-step explanation:
These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
12x+8 = 13x+2
Subtract 12x from each side
12x+8-12x = 13x+2-12x
8 = x+2
subtract 2 from each side
8-2 =x
6 =x
Find the measure of the angle
12x+8
12*6+8
72+8
80