Answer:
[tex]27x^2[/tex]
Step-by-step explanation:
1) First, "cancel out" the 3s. Remember, exponents are kind of like another way of saying, "multiply this number by itself this many times." Whatever the bigger number is is the number that you multiply by itself, and the smaller number at the top indicates how many times you have to do that.
Take [tex]3^4[/tex], for example. It's saying "multiply 3 by itself 4 times." Therefore, you can write it as (3)(3)(3)(3):
[tex]\frac{3^4x^4}{3x^2} \\= \frac{(3)(3)(3)(3)x^4}{(3)x^2} \\[/tex]
Now, simplify. For each 3 in the denominator, cross out a 3 in the numerator. So, cross out the single 3 in the denominator, and cross out one 3 in the numerator. Then, multiply the left over 3s. This gives us this:
[tex]\frac{(3)(3)(3)x^4}{x^2}[/tex]
[tex]= \frac{27x^4}{x^2} \\[/tex]
2) Do the same with the x's. Write them out, cancel them out, and then multiply the leftovers together:
[tex]\frac{27x^4}{x^2}\\= \frac{27(x)(x)(x)(x)}{(x)(x)}\\= 27 (x)(x)\\= 27x^2\\[/tex]
Therefore, [tex]27x^2[/tex] is the answer.
Someone help me with number 2 please
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
I need an example of a proportional relationship
Answer:
if you want an equation... an example could be
y=3x+5
Step-by-step explanation:
Answer:
Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.
pls give brainliest
plz help!! Describe the transformation from the graph of f(x) = 3x + 4 to the graph of g(x) =f(x) + 2.
simplify 6e - 9 +10e
Answer:
16e-9
Step-by-step explanation:
===============================================================
In order to simplify this expression, we need to combine like terms:-
[tex]\longrightarrow\sf{6e+10e-9}[/tex]
Add the e's:-
[tex]\longrightarrow\sf{16e-9}[/tex]
Are there any more like terms? No, because 16e and -9 aren't like terms.
====================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A clothing store marked all of their summer clothing down 50%. A sign in the store indicates that an additional 20% is to be taken off the clearance prices. What is the final price of a top that originally sold for $58?
Answer:
17.04$
Step-by-step explanation:
Find the product of the
L.C.M and H.C.F of 8 and 12.
Answer:
96 is the answer.Step-by-step explanation:
The L.C.M of 8 and 12 is 24The H.C.F of 8 and 12 is 4We multiply 24 *4 we shall get 96 as the answer.Answer:
24*4=96
Step-by-step explanation:
lcm of 8 and 12 is 24
hcf of 8 and 12 is 4
24 times 4 = 96
I knw don't know how to make
Answer:
Step-by-step explanation:
How much time required to complete a10days work if it could complete by 3 worker in 4days and 6worker in 3.05 days,if 5 workers is involved in it? please reply
Answer:
This seems to be a linear relationship:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
We know that 3 workers can complete the job in 4 days.
Then if we define W as the rate at which a single worker can complete the work, we have the ordered pair (3 workes, 4 days)
And we also know that 6 workers can finish the job in 3.05 days, then we also have the ordered pair (6 workers, 3.05 days)
Then using these two, we can find the slope of the line:
a = (3.05 days - 4 days)/(6 workers - 3 workers) = -0.35 days/worker.
Then we have the equation:
y = (-0.35 days/worker)*x + b
Where:
y represents the time to complete the job
x represents the number of workers.
b is the y-intercept, to find the value, we could just replace one of the points in the equation, for example with the point (3 workes, 4 days) we need to replace x by 3 workers, and y by 4 days:
4 days = (-0.35 days/worker)*3 workers + b
4 days = -1.4 days + b
4 days + 1.4 days = 5.4 days = b
then the equation is:
y = (-0.35 days/workers)*x + 5.4 days.
Now we can find the number of days needed for 5 workers to finish the job, we just need to replace x by 5 workers:
y = (-0.35 days/workers)*5 workers + 5.4 days
y = 3.65 days.
x^3 + 5x^2 + 2x + 10 = 0
Let's solve your equation step-by-step.
x3+5x2+2x+10=0
Step 1: Factor left side of equation.
(x+5)(x2+2)=0
Step 2: Set factors equal to 0.
x+5=0 or x2+2=0
x=−5
Answer:
x=−5
Michelle is working on a design for a new building. She has built a model of the building according to the client's specifications.
The height of the model is 15 inches, the slant height of the model is approximately 17 inches, and the base has a length of
14 inches and a width of 20 inches.
w
Note: picture not drawn to scale.
Michelle must order appropriate equipment to heat and cool the building, so she must use the model to determine how much
space there will be inside. What is the volume of her model? (Round to the nearest hundredth, if necessary.)
OA
5,600 cubic inches
OB
1,400 cubic inches
OC. 280 cubic inches
OD
980 cubic inches
Answer:
Step-by-step explanation:
980
Express the fraction StartFraction 6 Over 22 EndFraction as a percent. Round the answer to the nearest whole percent. %
Answer:
27%
Step-by-step explanation:
6/22 is 0.27. when you divide 6 by 22 you get the decimal.
Answer:
27%
Step-by-step explanation:
List the angles in order from smallest to largest 2.8 3.2 and 3
Answer:
2.8, 3, 3.2 jhgfdsdrftggggggbhjn
In the figure, ΔABC~ΔADE. Find the length of line segment DE.
Answer:
13
Step-by-step explanation:
[tex]\triangle ABC \sim \triangle ADE => \frac{x}{x+10}=\frac{x+3}{x+16}=>x^{2}+16x=x^{2}+13x+30=>3x=30=>x=10\\DE=x+3=>DE=13[/tex]
A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the
can?
1 3/4
3
21/2
2
Answer:
c 2 1/2
Step-by-step explanation:
Answer:
I think it is b. 3. Im not sure though.
Step-by-step explanation:
Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per
gigabyte. She wants to keep her bill at $63.10 per month. Write and solve an equation
which can be used to determine x, the number of gigabytes of data Lily can use while
staying within her budget.
equation:
answer x=
Answer:
Equation : y = 4x + 55.50
x = 1.9 gigabytes
Step-by-step explanation:
Given that:
Flat fee per month = $55.50
Cost per gigabyte = $4
Let,
x be the number of gigabytes.
y be the total cost
y = 4x + 55.50
Lily wants to keep her bill $63.10
63.10 = 4x + 55.50
63.10 - 55.50 = 4x
4x = 7.60
Dividing both sides by 4
[tex]\frac{4x}{4} = \frac{7.60}{4}\\x=1.9[/tex]
Hence,
Equation : y = 4x + 55.50
x = 1.9 gigabytes
Answer:
Equation: 4x+55.5=63.1
Answer: x=1.9
Mon wants to make 5 lbs of the sugar syrup. How much water and how much sugar does he need to make 25% syrup?☺
Answer:
1.25 IBs of sugar, 3.75 IBs of water
Answer:
1.25 3.75
Step-by-step explanation:
is a soup bowl a gallon quart pint or cup
Answer:
their are different sizes of soup bowls
PLEASE ANSWER QUICKLY
helppppppppppppppppppppppppp
answer is 150
pls give branliest
Answer: 72
Step-by-step explanation: A = ½(b 1 +b 2)h
What is the exact value of sin (-5x/3
1/2
-1/2
✔️3/2
-✔️3/2
Answer:
Step-by-step explanation:
Help please. Which polynomial represents the sum below? (20 points)
Answer:
b option ..............
Please help!!!!! Find the value of the variables
Answer:
x = 24
y = 8√3
Step-by-step explanation:
This is a special right triangle with angle measures 30° 60° 90°
The side length that sees 90° is represented by 2a, the side length that sees angle 60° is represented by a√3 , and the side length that sees angle 30° is represented by a
16√3 ÷ 2 = 8√3 this is the value of y
8√3 × √3 = 24 this is the value of x
SOLVE FOR Y, WILL GIVE BRAINLIEST
Step-by-step explanation: Notice that the angle diagonal
of the 114° is a vertical angle and vertical <'s are ≅.
Now, notice that we have two parallel lines cut by a transversal.
If two parallel lines are cut by a transversal, then
consecutive interior angles are supplementary.
So we can setup the equation 114 + y + 12 = 180.
Simplifying on the left gives us 126 + y = 180.
Now subtract 126 from both sides to get y = 54.
Given: B bisects EA, FE is parallel to CA, DC is parallel
to GF
Prove: Triangle BGF Triangle BDC
Which method?
E
SSS
SAS
AAS
С
OHL
וד
B
ASA
A
INTL 9:53
Answer:
Choice 3: AAS
Step-by-step explanation:
We can prove that by AAS that means we need two congruent angles and one congruent side.
The first angle will be the vertical pair <FBG and <DBC.
The second angle will be the alternate interior pair <G and <D.
The one side will be [tex]\overline{GB}[/tex] and [tex]\overline{BD}[/tex].
Can somebody plz help!!
Marlena has a bag of coins the bag contains 8 quarters 10 dimes 4 nickels and 2 pennies she will randomly select a coin from the bag what is the probability that marlena will select a nickel?
A 1/12
B 1/3
C 1/6
D 1/5
2 - (7/8) - (3/4) i need help its hard :/
Answer:
0.375
Step-by-step explanation:
Answer:
The answer is 1 and 39/50Step-by-step explanation:
Hope this Helps! :)
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the bag what is the probability that Marlena will select and nickel
A) 1/12
B) 1/3
C) 1/6
D) 1/5
Plz help!!
Answer:
C) 1/6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
We have 8 + 10 + 4 + 2 = 24 coins
Of those, 4 are nickels. So
[tex]p = \frac{4}{24} = \frac{1}{6}[/tex]
The correct option is given by option C.
Answer the question below* 1 point A grocery store offers a service where customers can place an order and have their groceries delivered to their home for an additional fee. The equation y = 1.1x can be used to find y, the total cost in dollars for x, the grocery cost in dollars. Arlyn has groceries delivered for a total cost of $119.90. He says his grocery cost must be $108.90. Is Arlyn correct? Explain your reasoning. Yes O No
Answer:
No.
Step-by-step explanation:
For starters, it says the representation of the grocery cost is x, but we have the equation y=1.1x. So, because 1x+0.1x=1.1x, we can infer that 0.1x is equal to our delivery cost, which we can call z.
Now we have two equations. y=x+z, and z=0.1x.
For this problem, we don't necessarily have to find the actual cost: just prove whether or not Arlyn is correct or incorrect by plugging in numbers for variables. So we can plug in our values of 119.90 (total value) and 108.90 (supposed grocery cost value) into our equations.
We now have 119.90=108.90+z, and z=0.1(108.90). First we can compute z=0.1(108.90). Since we know multiplying by 0.1 is the same as multiplying by 1/10, it's easy to get 108.90/10, which is 10.89. Now we can substitute 10.89 into our second equation for z, to get 119.90=108.90+10.89, where you get 119.90=119.79, which is not true. Therefore, Arlyn is incorrect, because $119.79 is not equal to $119.90.
You purchase an item for $30 dollars. If the sales tax rate is 6% , what is the amount of tax?
Answer:$24
Step-by-step explanation: