Answer:
The answer is 6/6 and 1/6. The mixed number would be 1 1/6
Step-by-step explanation:
Take 7/6 and find out how many 1/6 there are. The are 7. Take them and make 6 go into one and you have 1/6 left over. So the mixed number would be 1 1/6
Factorise fully the following:
a) x² + 3x
b) 2x? - 8x
c) 6x + 9x
d) 12x - 4x?
Answer:
a) [tex]x(x+3)[/tex]
b) [tex]2x(x-8)[/tex]
c) [tex]3x(2+3x^{2})[/tex]
d) [tex]4x^{2} (3x-1)[/tex]
Step-by-step explanation:
a) [tex]x^{2} +3x=x(x+3)[/tex]
b) [tex]2x^{2} -8x=2x(x-8)[/tex]
c) [tex]6x+9x^{3} =3x(2+3x^{2})[/tex]
d) [tex]12x^{3} -4x^{2} =4x^{2} (3x-1)[/tex]
Factors of the following algebraic expression are
a. Factors of x² + 3x are x and x+3
b. Factors of 2x² -8x are 2, x and ( x-4)
c. Factors of 6x +9x³ are 3, x and (2 + 3x²)
d. Factors of 12x³ - 4x² are 4, x, x and (3x -41)
What is factor of an algebraic expression?The factor of an given algebraic expressions are one or more numbers or linear or other expressions that multiply to form the given algebraic expression and cannot be broken down further into simpler expressions.
For finding factors of an algebraic expression we can simply take out common expressions from all the terms of the expression and try to simplify it.
a. x² + 3x = x( x+3), (taking x common from both terms)
b. 2x² -8x = 2x ( x-4) (taking 2x common from both terms)
c. 6x +9x³ = 3x (2 + 3x²) ( taking 3x common from both terms)
d.12x³ - 4x² = 4x× x × (3x -41) ( taking 4x² common from both terms)
Also, Learn more about the factors of the algebraic expression from the link below:
brainly.com/question/1245504
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A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
Answer: 90 visitors per hour
Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as 450 visitors/5 hours = __visitors/1 hour.
To find out what goes in the bank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 450/5 that has a 1 in the denominator.
If we divide the numerator and denominator of 450/5 by 5,
we get the equivalent fraction 90/1 or 90 visitors/1 hour.
So now we have 90 visitors/1 hour = __visitors/1 hour.
So a 90 must go in the blank.
This means that the museum sees 90 visitors per hour.
Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest
Answer:
option D; 20/3 OR 6 2/3
Step-by-step explanation:
CONVERT THE HOURS INTO MINUTES;
3/4 × 60 = 45 mins
1hour = 60 mins
45 mins = 5 miles
60 mins = ??
cross multiply;
60 by 5 ÷ 45 to get 20/3.
Determine whether each expression is a monomial. Write yes or no and explain your reasoning.
21a2 3
1. 7b 2. 5x − 11 3. 2020
Answer:
1. yes
2. no
3. yes
Step-by-step explanation:
A monomial is one term.
1. Yes. 7b is one term.
2. No. 5x-11 is not one term. It is 2 terms.
3. Yes. 2020 is one term.
Need help with equations with fraction solutions, tysm if you do :)
1-2c = -8
-8/7r = 6
4-4 (4-x) -4x = 18x
1/5m + 3 = 7/5m
Answer:
1. c = 9/2
2. r = 21/4
3. x = -2/3
4. m = 5/2
Step-by-step explanation:
1.
1 - 2c = -8
Subtract 1 from both sides to isolate the variable:
-2c = -8 - 1 = -9
Divide by -2 to further isolate the variable:
c = (-9) / (-2) = 9/2
So, the answer is c = 9/2.
2.
-8/7r = 6
To isolate the variable, divide both sides by -8/7:
r = (-6) / (-8/7)
Remember that when dividing fractions, it's the same as multiplying by the reciprocal of the divisor, so:
r = (-6) / (-8/7)
r = (-6) * (-7/8) = 42/8 = 21/4
So, the answer is r = 21/4.
3.
4 - 4 * (4 - x) - 4x = 18x
We need to use order of operations and expand the 4 * (4 - x) part first:
4 * (4 - x) = 16 - 4x
Put this back in:
4 - (16 - 4x) - 4x = 18x
4 - 16 + 4x - 4x = 18x
Combine like terms:
-12 = 18x
Divide by 18 on both sides:
x = -12/18 = -2/3
So, the answer is x = -2/3.
4.
1/5m + 3 = 7/5m
Subtract 1/5m from both sides:
3 = 7/5m - 1/5m = 6/5m
Divide both sides by 6/5:
m = 3 ÷ (6/5) = 3 * (5/6) = 15/6 = 5/2
So, the answer is m = 5/2.
Answer:
1. c = 9/2
2. r = -21/4
3. x = -2/3
4. m = 5/2
Step-by-step explanation:
1-2c = -8
1 + 8 = 2c
9 = 2c
c = 9/2
-8/7r = 6
r = 6 × 7/-8
r = 3 × 7/-4
r = -21/4
4-4 (4-x) -4x = 18x
4 - 16 + 4x - 4x = 18x
-12 = 18x
x = -12/18
x = -2/3
1/5m + 3 = 7/5m
3 = (7/5 - 1/5)m
3 = 6/5m
m = 3 × 5/6
m = 5/2
Craig and Danny are planning to tr y out for the basketball team and one of the criteria fro the selection is based on free throw shots. Craig makes 55% of the free throwshe attempts, while Danny makes 71% of the free throws he attempts. Which is more likely: that Craig will miss two free shot throws in a row, or that Danny will make three free throw shots in a row?
Answer:
It is more likely that Danny will make three free throw shots in a row.
Step-by-step explanation:
The probabilities of Craig and Danny making the throw they attempt, is given as:
Probability that Craig will make the throw = 55% = 0.55
Probability that Danny will make the throw = 71% = 0.71
Now, the probabilities that they will miss the throw can be found out by subtracting the probabilities, that they can make the throw, from 1.
Probability that Craig will miss the throw = 1 - 0.55 = 0.45
Probability that Danny will miss the throw = 1 - 0.71 = 029
Now,
Probability that Craig will miss two throws in a row = (0.45)(0.45) Probability that Craig will miss two throws in a row = 0.2025
And,
Probability that Danny will make three throws in a row = (0.71)(0.71)(0.71)
Probability that Danny will make three throws in a row = 0.3579
Since, the probability of Danny making three throws in a row is higher than the probability of Craig missing two throws in a row.
Thus, it is clear that, it is more likely that Danny will make three free throw shots in a row.
find the circumference of the circle
Answer:
C
Step-by-step explanation:
2 x pi x r = circumfrence
2 x 7 x pi = 43.96
Answer: 43.96 m
Step-by-step explanation: To find the circumference of the circle shown here, start with the formula for the circumference of a circle which is shown below.
Circumference = 2πr
Notice that the radius of the circle is 7 meters.
So we can plug in 7 meters for r in the formula.
So we have (2)(π)(7m) which is equal to 14π m.
So the circumference of the circle shown here is 14π m.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (14)(3.14) which is equal to 43.96.
So the circumference of the circle is
approximately equal to 43.96 m.
Maria is coloring in triangles,squares and circles using 3 colors red blue and yellow or Maria only uses a color on each shape one time how many different combinations can she make?
Answer: 9
Step-by-step explanation:
Help!!! I have no idea how to do this
Answer:
tan53=x/14
Step-by-step explanation:
solve after that with inverse tan and simple algebra
The driver decides to check her speedometer while driving along a motorway.
She measures how long it takes her to travel 6 km. It takes her exactly 4 minutes.
What was her speed in km/h? Show your working.
Answer:
90km/h
Step-by-step explanation:
speed =distance / time
distace = 6
time = because we have hours we have to convert the minute into an hour so
4/60 so that woul be: 0.06666666666
and 0.06666666666 times 6 is 90
i hope that helps
PLEASE HELP WILL MARK BRAINLIEST
Keiko plans to watch 2 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
Answer:
n=2m
Step-by-step explanation:
If she watches 2 movies a month (2m), plug in any number and it will give you how many movies (n) she will watch in however many months.
Answer:
2n
I hope I helped you! If I am correct, please makr me brainiest. Thanks!
What is the x-value in the solution to the system of linear equations?
y = 1/2x + 2
y = -3/2x -2
Answer: The value of x is -2.
Step-by-step explanation:
y= 1/2x + 2
y= -3/2x-2
1/2x + 2 = -3/2x -2
+2 +2
1/2x + 4 = -3/2x
-1/2x -1/2x
4= -2x
x= -2
I need help with Pythagorean Theorem
Answer:look at picture
Step-by-step explanation:
Answer:
the sum of the angles pythagorean theorem is a^2+b^2=c^2
Also, the angles of a triangle will add up to 180 degrees
this practice is most commonly found in right triangles
Step-by-step explanation:
-1 + n/2 = -11
HELP
THNX
Answer:
n = -20
Step-by-step explanation:
[tex]-1 +\frac{n}{2} = -11\\[/tex] add 1 on each side
[tex]\frac{n}{2} = -11 + 1\\\\\frac{n}{2} =-10[/tex]multiply by 2
n = -20
1/3 x 12
Answer :
12/3 which is = to 4
Answer:
1/3 x 12=4
Step-by-step explanation:
The correct answer for 1/3*12 is 4.
1: Times 1/3 by 12
Answer: 4
Hope this helps.
Tim's phone service charges $24.93 plus an additional $0.21 for each text message sent per month. If
Tim's phone bill was $30.18, which equation could be used to find how many text messages, x, Tim
sent last month?
Answer:
x = 24
Step-by-step explanation:
T = 24.93 + 0.21x Substitute 30.18 for T
30.18 = 24.94 + 0.21x
-24.94 - 24.94 Subtract 24.94 from both sides
5.24 = 0.21x Divide both sides by 0.21
x = 24.95 ≈ 24 because you can't have a partial text message.
If this answer is correct, please make me Brainliest!
Complete sentence for me it’s for geo
Answer:
volume
Step-by-step explanation:
A standard deck of 525252 cards contains 444 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 222 through 101010, a jack, a queen, a king, and an ace. Anthony decides to pick one card at random from a standard deck of 525252 cards. Let AAA be the event that he chooses an ace and HHH be the event that he chooses a heart. What is P(A\text{ or }H)P(A or H)P, left parenthesis, A, start text, space, o, r, space, end text, H, right parenthesis, the probability that the card Anthony chooses is either an ace or a heart?
The question is not properly written
Correct Question
A standard deck of 52 cards contains 4 suits: hearts, clubs, diamonds, and spades. Each suit consists of cards numbered 2 through 10, a jack, a queen, a king, and an ace.
Anthony decides to pick one card at random from a standard deck of 52 cards. Let A be the events that he chooses an ace and H be the event that he chooses a heart.
What is P ( A or H), the probability that the card Anthony chooses is either an ace or a heart?
Answer:
2/13
Step-by-step explanation:
From the question, we have in total, 52 cards.
Step 1
We find the probability that Anthony chooses an Ace.
Number of ace cards in each of four suits namely spades, hearts, diamonds and clubs = 1
Therefore, total number of ace cards out of 52 cards = 4
P(A) = 4/52
Step 2
We find the probability that Anthony chooses an Ace.
Probability that Anthony chooses an heart P(H) = 4/52
Step 3
The probability that the card Anthony chooses is either an ace or a heart
P ( A or H) = P(A) + P(H)
= 4/52 + 4/52
= 8/ 52 = 2 /13
you get in a elevator and go down 8 floors. You exit on the 16th floor. What floor you on the elevator
Answer:
24th floor
Step-by-step explanation:
To get the number of the floor you were originally on, you add the number of floors you went down to the current floor you are on so 16 + 8 = 24
Answer:
24
Step-by-step explanation:
x-8=16
16+8=24
round it to the nearest hundredth x= 3.752697842
Answer:
3.75
Step-by-step explanation:
The hundredth is the 2 number after the decimal point so round that up.
Answer:
3.75
Step-by-step explanation:
the hundreths place is the second number to the left of the decimle, because the number to the left of the hundreths place is less than five. You leave the hundreths place number as it is. This leaves you with your awnser: 3.75
Correct answers only!
To the nearest cent, how much will she have in 1 year?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$5150
Step-by-step explanation:
p = 5000
r = 0.03
t = 1
5000 * (1.03) = 5150
Complete the statements.
Substitute the given value for the
Use the
to simplify.
inside the
First, complete the
parentheses.
Next, complete the
parentheses.
Last, complete the addition.
inside the
The value is
Answer:
ax+b
Step-by-step explanation:
Answer: Substitute the given value for the (variable)
Use the (order of operations) to simplify
First class complete (multiplication) inside the parentheses
Next, complete the (subtract) inside the parentheses
The value is (8)
Step-by-step explanation:
Find the values of x and y that satisfy the equation.
3x+6i=27+yi
x
Answer:
x = 9
y = 6
Step-by-step explanation:
3x+6i=27+yi
The real components have to be equal and the imaginary components have to be equal
3x = 27
divide by 3
3x/3 = 27/3
x=9
6i = yi
Divide by i
6 = y
Answer:
x=9, y=6
Step-by-step explanation:
Step-by-step explanation:
we have
3x+6i=27+yi
Equate the Real Numbers
3x=27
solve for x
Divide by 3 both sides
x=27/3=9
Equate the Imaginary Numbers
6i=yi
Simplify
6=y
Rewrite
y=6
therefore
x=9, y=6
PLEASE HELP
Fill in the y values of the t–table for the function y=\root(3)(x)
You can use a graphing calculator to have a function y = x^(1/3) and see what the y values are for the particular x values shown. Alternatively you can compute each input to get (-8)^(1/3) = -2, and (-1)^(1/3) = -1 and so on. The exponent of 1/3 is another way of writing cube root.
The cube root is the opposite of cubing something. If we go from 2 to 2^3 = 8, then reversing this has us go from 8 to 2. Think of a block of clay that is 2 by 2 by 2. The volume of this block is 8 cubic units. If you want to find the side length, then you would apply the cube root (or do guess and check).
Find The total number of unit cubes that fill the entire prism.
Answer:
64
Step-by-step explanation:
put branileist
Answer:
Step-by-step explanation:
72 cuz u multiply 6x3x4=72
What is the value of b in the equation (y^-9)^b =y45
Answer:
b = -5
Step-by-step explanation:
[tex]\begin{array}{rcll}(y^{-9})^{b} & = & y^{45}& \\y^{-9b} & = & y^{45} & \text{Multiplied exponents}\\-9b \ln y & =& 45 \ln y & \text{Took the ln of each side}\\-9b & = & 45 & \text{Divided each side by ln y}\\b & = & \mathbf{-5} & \text{Divided each side by -9}\\\end{array}[/tex]
What is the volume of a cube whose face has an area of 64cm^2?
Answer:
512
Step-by-step explanation:
Efficient Homemakers Ltd. makes canvas wallets and leather wallets as part of a money making project. For the canvas wallets, they need three yards of canvas and two yards of leather. For the leather wallets, they need three yards of leather and two yards of canvas. Their production unit has purchased 36 yards of leather and 40 yards of canvas. Let x be the number of leather wallets and y be the number of canvas wallets. If the profit on a canvas wallet is $25 and the profit on a leather wallet is $40, write a function for the total profit on both wallets.
Answer: F(x, y) = 40x + 25y
Step-by-step explanation:
Given the following :
x = number of leather wallets
y = number of canvas wallets
PROFIT on canvas wallet = $25
PROFIT on leather wallet = $40
Function that calculates the total profit on both wallets:
Profit on each wallet type is the product of the profit per wallet and the number of wallet.
The total profit generated on each wallet type is given by :
F(x) = 40x - - - - (1) leather wallet
F(y) = 25y - - - - (2) canvas wallet
Adding (1) and (2) to get total profit on both wallets:
F(x, y) = 40x + 25y
To the nearest year, it will take about years to double the original investment.
Answer:
11 years on Edg
Step-by-step explanation:
Answer:
11 years
Step-by-step explanation:
Work out the surface area of this solid prism.
Answer:
[tex]2( \frac{1}{2} \times 15 \times 28 ) + ( 25 \times 30 ) + ( 17 \times 30) + ( 28 \times 30 ) \\ = 2520 {cm}^{2}[/tex]