Answer:
2/3
Step-by-step explanation:
1) Move the 7a to the other side
2) Move the 3
3) Combine like terms
4) Divide by 9
5) Answer is 2/3
Answer:
a=2/3
Step-by-step explanation:
All this problem needs is some knowledge of how an = sign and basic equations work
7a-3=3-2a
7a+2a=3+3 (Sign becomes opposite on the other side of the equation)
9a=6
a=2/3
Thank you for your time!
What is the solution to
Ax+ bx + C=0
Answer:
x = -C / (A + b)
Step-by-step explanation:
Without given values for the constants A, b, and C (Assuming they are constants), the best we can do is to isolate the variable x. Let's proceed to solve for x.
Ax + bx + C = 0
x (A + b) + C = 0
x (A + b) = -C
x = -C / (A + b)
So now, when you get the values of the constants A, b, and C, you can plug those in to solve for variable x.
Cheers.
plz help me Identify the domain and range of relation ({3,-2),(8,1),(-9,2),(1,8)}
Answer:
domain { -9,1,3,8)
range{ -2,1,2,8}
Step-by-step explanation:
The domain is the inputs
Domain = 3,8,-9,1
We write them in the order from smallest to largest
domain { -9,1,3,8)
The range is the outputs
Range = -2,1,2,8
We write them in the order from smallest to largest
range{ -2,1,2,8}
Write the expression 12^-2 in simplest form?
Answer:
12 to the power of -2 is 0.00694444444
Step-by-step explanation:
When ever doing a number to the power of a negative number, the result will always be a fraction of a number.
Or
Fraction:
1/12^2
which is
1 / 144
Percentage:
0.00694444444 * 100 = 0.694444444%
Hope this helps, have a good day :)
(brainliest would be appreciated?)
The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.
The given expression is,
[tex]12^{-2}[/tex]
Here we can see that 12 has inverse power of 2.
Simplify it using basic rules of exponents.
To do so, we need to understand that a negative exponent indicates that the base should be inverted.
In other words, [tex]12^{-2}[/tex] is the same as 1/12²
To simplify this further,
Evaluate 12², which is,
12² = 12 x 12
= 144
Therefore, 1/12² can be expressed as 1/144.
Hence,
In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
Simplify the following: (74) (6/4)
Answer:
111
Step-by-step explanation:
Reducing the given expression:
74(6) 37(6) 111
--------- = ---------- = ---------- = 111
4 2 1
Answer:
[tex] \boxed{111}[/tex]Step-by-step explanation:
[tex] \mathsf{(74) \times ( \frac{6}{4} )}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
⇒[tex] \mathsf{ \frac{74 \times 6}{4 \times 1} }[/tex]
⇒[tex] \mathsf{ \frac{444}{4} }[/tex]
⇒[tex] \mathsf{111}[/tex]
[tex] \mathrm{Hope \: I \: helped !} [/tex]
[tex] \mathrm{Best \: regards !}[/tex]
On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation.
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data mentioned in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Depend on the above information, the quadratic equation is shown below:
As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative
Now it is given that
a × x ^ 2 + bx + c =0
We can considered that
x = 0
x = 8
As {0.8} are intercepts of x
When x = 0, then it is
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Hence 0 = 0
Now x = 8, it is
a × 8 ^ 2 + b(8) + c = 0
Hence a(8)^2 + b(8) + c = 0 ..................(ii)
As it can be seen that in the first equation c must be zero
Whereas the second equation is
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now according to the quadratic function, it presented
(-b ÷8)x^2 + bx + 0
So, the parabola vertex is (4, 12)
Now place this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
And for calculating this b, all terms must be multiplied by 8
That appears
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
So, the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
Write the ratio as a fraction in simplest form.
0.65 to 0.15
Answer:
13/3
Step-by-step explanation:
Write as a fraction first,
0.65/0.15
convert decimal to fractions,
13/20/3/20 = 13/3
Shape 1 and shape 2 are plotted on a coordinate plane which statement about the shapes is true?
DA Shape 1 and shape 2 are not congruent.
B A translation will prove that shape 2 is congruent to shape 1.
C. A rotation and a translation will prove that shape 2 is congruent to shape 1
OD. A reflection a rotation, and a translation will prove that shape 2 is congruent to shape 1
Answer:
The answer is D. A reflection, a rotation and a translation will prove that shape 2 is congruent to shape 1.
I need help super fast
Answer:
The last option
Step-by-step explanation:
When you have a fraction as a power, the denominator goes to the root, so in this case, it becomes root 4. The base, 5, goes to the outside, and the numerator 1, goes beside the x.
Hope this helps!
Which of the following would cause an increase in heat? freezing compression stirring friction
Answer:
Compression, stirring, and friction all increase heat
Step-by-step explanation:
I did a lesson on it and got it right
Haley is at the store buying some supplies for an art project. She decides to buy some colored pencils for $3.95 and a drawing tablet. The total cost of the supplies before sales tax is $6.94. What is the cost of the drawing tablet? $2.99 $1.76 $10.89 $3.01
Its $2.99 because 6.94-3.95=2.99 so $2.99
Answer:
$2.99
Step-by-step explanation:
To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils. Let's build an equation, where x represents the cost of the drawing tablet:
x + 3.95 = 6.94
Now let's solve the equation for x to find the cost of the tablet.
x + 3.95 = 6.94
x + 3.95 - 3.95 = 6.94 - 3.95
x = 2.99
So the cost of the drawing tablet is $2.99.
Cheers.
Simplify the expression in simplest form (3x - 5)x4 +2
Answer:
12x-8
Step-by-step explanation:
We can use PEMDAS to solve this expression.
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
The first step to do is use the distribute property to simplify the parenthesis.
The second step will be to simplify the exponent, but there aren't any so we can skip that step.
The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.
The fourth step will be to add -20 with 2. We then get -18.
And finally, we have our answer
(3x - 5)x4 +2
12x-20+2
12x-18
About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.
183 meters
250 meters
366 meters
683 meters
Answer:
A. 183 meters
Step-by-step explanation:
Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters
Find distance BC
Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)
Cos (60°)=1/2
BC=a
AB=500
Cos (60°)=BC / AB
1/2=a/500
1/2 * 500=a
250=a
a=250m
Find distance AC
Sin(60°)=AC/AB (opposite side divided by hypotenuse)
Sin(60°)=√3/2
AC=b
AB=500
Sin(60°)=AC/AB
√3/2=b/500
√3/2 * 500=b
250√3=b
b=433m
Distance AC and BC=AC+BC
433m+250m=683m
Subtract the distance AB from AC+BC
= 683m - 500m
=183m
Answer is A. 183 meters
Answer:
A. 183 meters
Step-by-step explanation:
sin(60) = x/500
= 433
tan(60) = 433/x
= 250
This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.
683-500=183!
help asap will give 10 points
Answer:
False
Step-by-step explanation:
[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]
Answer:
I'm pretty sure its false
How many solutions does this system of inequalities have graphed below
Answer:
There is only one solution set.
Step-by-step explanation:
The set can contain any number of solutions or none.
This is all I know, hope it helps.
5 and 6? i got 3 for both
Answer:
Hey there!
5. f(4) is 3. f(3) is 2. Thus, f[f(4)]=2
6. g(2) is 3. g(3) is 1. g[g(2)]=1
Hope this helps :)
PLEASE HELP Ruri is a 30-year-old math teacher. She has been informed that she is the winner of a grand prize for the lottery. She can choose either a one-time payment of $20 million or $5000 per week for the rest of her life. Which choice would most likely result in the greatest amount of winnings for Ruri? Explain your reasoning.
Answer:
$5,000 per week
Step-by-step explanation:
Ruri is a 30 year old female.
there are about 4 weeks per month
there are about 52 weeks per year
52*5000 = 260,000
She would get 260,000 per year and lets see how much she would have at 40.
260,000*10
at 40 she would have 2,600,000
2,600,000*10
at 50 she would have 26,000,000
at 50 she already has earned more money that the $20 million.
She should go with the $5000 per week if she would like more money.
Joaquin used two types of flour in a muffin recipe. How much flour did he use in all? Solve any way you choose.
Answer:
3 1/6 cups of flour.
Step-by-step explanation
Lucy reads 450 words in 3 minutes.
This is an equation that can be used to
find w, the number of words Lucy can
read in 20 minutes if she continues to
read at the same rate?
Answer:
3000 words
Step-by-step explanation:
450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.
1 minute = 150 words so 150 words times 20 minutes = 3000 words.
Name a real world context to describe the sums of rational numbers.
Step-by-step explanation:
when you are cooking you need to measure fractions of ingredients
Of the 34 cars in a parking lot, 20 are green, 8 are gold, and the rest are black. What are
the odds against the next car leaving the lot being black?
A) 3:14
B) 3:28
C) 28:3
D) 14:3
Answer:c
Step-by-step explanation:
Traveling at a rate of 70 miles per hour, a car travels 26 miles per gallon of gasoline. Traveling at a rate of 45 miles per hour, the same car travels 36 miles per gallon of gasoline. Approximately how many gallons of gasoline are saved on a 300-mile trip if the car is driven at a rate of 45 miles per hour instead of at 70 miles per hour?
A) 2
B) 3
C) 12
D) 20
Answer:
B) 3
Step-by-step explanation:
Traveling at a rate of 70 miles per hour, a car travels 26 miles per gallon of gasoline.
In 300 miles journey the gallon of gasoline consumed will be
300/26= 11.54 gallons
Traveling at a rate of 45 miles per hour, the same car travels 36 miles per gallon of gasoline.
In 300 miles journey the gallon of gasoline consumed will be
300/36= 8.33 gallons
The amount of gasoline saved= 11.54-8.33
The amount of gasoline saved= 3.21
approximately 3 gallons of gasoline
Help !!! Thank you a lot!!
Answer:
E) 45
Step-by-step explanation:
Since b is 90 degrees, and lines CB and BA are equal (as seeen with the 2 lines across them) we can assume that this angle is 45 degrees, half or 90 degrees.
Angle C is also equal to angle A
Answer:
E
Step-by-step explanation:
Using the fact that the sum of angles in a triangle is 180 degrees, we can write the following equation to solve for 3x:
3x + 3x + 90 = 180
3x + 3x = 90
2 * 3x = 90
3x = 45°
What is the correct prime factorization of 24
2^3 * 3^1
Go step by step. 24 = 2 x 12. 12 = 2 x 6. 6 = 2 x 3. We can't factor any more.
Therefore, we have 12 = 2 x 6, and since 6 = 2 x 3, we get 12 = 2 x 2 x 3.
Then 24 = 2 x 12, and 12 = 2 x 2 x 3, so 24 = 2 x 2 x 2 x 3.
There are 3 2's and 1 3's, so it's 2^3 * 3^1.
Hope that helped,
-sirswagger21
Answer:
24=2*12=2*6=2*3
Step-by-step explanation:
I could not draw the tree diagram
to do it you take a prime number it is divisible by and a composite number it is divisible by and you prime factorise the composite number and repeat until you get prime numbers
George goes to the supermarket to buy some canned tomatoes to make salsa for a party. The cans are on sale for $0.95 each. He has $4.75. Let x represent the number of cans that he can buy. Which equation models this situation?
Answer:
see below
Step-by-step explanation:
Take the price of each can and multiply by the cost of the cans
.95x
This must be less than or equal to 4.75
.95x ≤ 4.75
They may choose to use an equals sign, since they asked for an equation
.95x = 4.75
Answer: 0.95x = 4.75
Step-by-step explanation:
Since we do not know how much George can buy, we will put x as 0.95x
If you solve 0.95x=4.75 by dividing 0.95 on both sides you will get the number of cans he can buy which is 5.
Rita bought 4 CDs that were each the same price. Including sales tax, she paid a total of $ 61.60. Of that total,$ 2.80 was tax. What was the price of each CD before tax
Answer:
The price of each CD is:
$14.70
Step-by-step explanation:
(61.6 - 2.8) /4
= 58.8/4
= $14.7
Answer:
$14.70
Step-by-step explanation:
We want to find the price of each CD before tax. Therefore, we must first subtract the tax from the total.
total -tax
The total cost was $61.60 and the tax was $2.80
$61.60 - $2.80
$58.80
The price for the 4 CDs (without tax) was $58.50.
We know that each CD costs the same price and Rita bought four CDs. Therefore, we can divide the cost without tax by 4.
cost without tax / 4
The cost without tax is $58.80
$58.80 /4
$14.70
Each CD before tax costs $14.70
Please help At a party of 102 people, 72 lb of potato salad is served. Write and solve and equation to find how many people each pound of potato salad serves.
Answer:
1.417
Step-by-step explanation:
102/72=1.417
Find the edge length of a cube if the surface area is 565.7 m².
0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above
Answer:
9.71 m
Step-by-step explanation:
Surface area of cube is given by 6a^2 where a is the edge length.
Given
Surface area =565.7 m²
let a be the edge length of required cube
then
6a^2 = 565.7 m²
=> a^2 = 565.7 /6 m² = 94.28
=> a = [tex]\sqrt{94.28}[/tex] = 9.71
Thus, first option 9.71 m is correct choice.
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 5 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
Answer:
91.67inch^3
Step-by-step explanation:
The volume of a cone can be calculated using below formula
V= 1/3 π.r^2h
Where h= height of the cone
r= radius of the cone
V= volume of the cone
Given :
height= 11inches
radius= 5inches
π= 3.14
Then substitute into the formula we have
V= 1/3 × 3.14× 5^2 ×11
V= 91.67inch^3
Therefore volume of the cone is 91.67inch^3
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Answer:
Step-by-step explanation:
C=153.86153...
100000C=15386153.86153...
subtract
99999C=15386000
C=15386000/99999
2 π r=15386000/99999
r=7693000/99999π≈24.5
10201 soldiers have queued up for an attack such that the number of queues is equal to number of the soldiers in each queue. Find number of soldiers in queue.
Answer:
101
Step-by-step explanation:
Given the following :
Number of soldiers = 10201
They are queued such that the number of queues = number of soldiers in each queue
Let number of queues = q
Therefore, if number of queues equals number of soldiers per Q,
Then ;
q × q = 10201
q^2 = 10201
Take the square root of both sides
q = √10201
q = 101
Number of soldiers per queues = 101
