Answer:
The answer is 166/21, or 7 19/21
Step-by-step explanation:
First, you would set up the equation, which is:
13 1/7 - 5 5/21
Next, you would turn them into an improper fraction, which is:
92/7 - 110/21
Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:
276/21 - 110/21
Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.
Answer:
7 19/21
Step-by-step explanation:
13 1/7 - 5 5/21
Get a common denominator
13 1/7*3/3 - 5 5/21
13 3/21 - 5 5/21
We need to borrow 1 from the 13 in the form of 21/21
12 +21/21 + 3/21 - 5 5/21
12 24/21 - 5 5/21
7 19/21
Please help me. Multiply. (x−5)(3x+6) Express the answer in standard form. Enter your answer in the box.
Answer:
3x² - 9x - 30
Step-by-step explanation:
We use FOIL to multiply (First, Outside, Inside, Last)
Step 1: F
3x²
Step 2: O
6x
Step 3: I
-15x
Step 4: L
-30
Step 5: Rewrite
3x² + 6x - 15x - 30
Step 6: Combine like terms
3x² - 9x - 30
Answer:
[tex]3x^2-9x-30[/tex]
Step-by-step explanation:
Use the FOIL method to solve:
First: [tex]x*3x=3x^2[/tex]
Outer: [tex]x*6=6x[/tex]
Inner: [tex]-5*3x=-15x[/tex]
Last: [tex]-5*6=-30[/tex]
Combining them all, we get:
[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
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use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16
Answer:
44
Step-by-step explanation:
Greatest common factor is 4
36 = 4*9
8 = 4*2
36+8 = 4*9 + 4*2
= 4(9+2)
= 4(11)
= 44
Hope it helps ...
Please help me ASAP!!!
Answer:
E.
Step-by-step explanation:
There are 12 balloons in each package. Multiply this by the number of packages to get the number of balloons.
Answer:
E. 12p
Step-by-step explanation:
Multiply 12 by the number of packages to get the total number of ballons.
Ex.
If P is 7 :
12 x 7 = 84
84 ballons in total.
Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]
Answer:
Step-by-step explanation:
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor
(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis
(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis
To find where it will touch the axis set the factor equal to zero and solve .
(x + 2) = 0
Subtract 2 from both sides
x=-2
The vertex of this parabola is at (4,-3). Which of the following could be its
equation?
A. x==3(y - 3)2 + 4
B. X=-3(+4)2-3
C. X=-3(-4) 2-3
D. X=-3(y + 3) - 4
Answer:
Option D.
Step-by-step explanation:
From the given graph it is clear that it is a parabola along to the x-axis.
Vertex form of a parabola along the x-axis is
[tex]x=a(y-k)^2+h[/tex]
where, (h,k) is vertex.
From the graph it is clear that the vertex of the parabola is (4,-3). So, substitute h=4 and k=-3 in the above equation.
[tex]x=a(y-(-3))^2+(4)[/tex]
[tex]x=a(y+3)^2+4[/tex] ...(1)
The graph passing through (1,-2), so substitute x=1 and y=-2 in the above equation.
[tex]1=a(-2+3)^2+4[/tex]
[tex]1-4=a(1)^2[/tex]
[tex]-3=a(1)^2[/tex]
Substitute a=-3 in equation (1).
[tex]x=-3(y+3)^2+4[/tex]
Therefore, the correct option is D.
45% of a 300ml drink is concentrated pineapple juice. The rest is water. Find the volune of water that must be added so that 40% of the drink is concentrated pineapple juice.
Answer:
37.5 mL
Step-by-step explanation:
If x is the volume of water, then:
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
45% of a 300ml drink is concentrated pineapple juice.
If x is the volume of water, then we get;
(0.45)(300) + (0)(x) = (0.40)(300 + x)
135 = 120 + 0.40x
15 = 0.40x
x = 37.5
Hence, The volume of water that must be added so that 40% of the drink is concentrated pineapple juice will be 37.5 mL.
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Same question need help asap!
Answer:
Nico's method is correct
Step-by-step explanation:
Lauren carelessly forgot to add the negative sign
[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]
Determine the value of w. options: A) 90° B) 155° C) 89° D) 25°
Answer:
Please mark me brainliest and I hope this helped!
w = 89°
Step-by-step explanation:
For this triangle, we have to get the supplementary angle of 122°. 180° - 122° is 58°. We then take 58° and add it to 33°. That is 91°. To find w, we subtract 91° from 180°. That gives us 89°.
Answer:
89
Step-by-step explanation: I took the test
A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
Step-by-step explanation:
Let F represent fruitshake and C chocolate milkshake
one fruitshake cost more 2R more than chocolate shake and
3F + 5C = R78,00
Then (78 - 6) ÷ 8 = 9
a fruitshake costs R11,00 and chocolate milkshake costs 9R,00
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
share £12 in the ratio of 3:2:1
The amount of energy it takes to lift a box might be a function of which of
the following?
O A. The time of day that you are lifting ít
B. The weight of the objects inside the box
C. The shape of the box
Answer:
The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.
Step-by-step explanation:
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
We can use ratios to solve
x x+10
------ = -----------
42 42+15
Using cross products
42(x+10) = x(42+15)
42x+420 = 57x
Subtract 42x from each side
420 = 15x
Divide by 15
420/15 = x
28 =x
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
[tex]y=\frac{1}{2}x+3[/tex]
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
A battalion of 880 people is made up of four companies. Each company is made up of five platoons. Each platoon contains four squads. If each company has the same number of people, as do each platoon and each squad, how many people are in each squad?
Answer:
11 people are in each squad.
Step-by-step explanation:
A battalion of 880 people is made up 4 companies.
880/4 = 220 people
which means 1 company is made up of 220 people.
Each company is made up of 5 platoons.
220/5 = 44
which means each platoon is made up of 44 people
Each platoon contains 4 squads
44/4=11
which means each squad contains 11 people.
therefore each squad contains 11 people.
For what values (cases) of the variables the expression does not exist: a/2x−4 (That equation is a fraction)
Answer:
When x=2 the expression is undefined
Step-by-step explanation:
When the denominator is zero, the expression is undefined
2x-4 =0
2x=4
x=4/2
x=2
When x=2 the expression is undefined
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.
please help with this
Answer:
1. 18x^11
2. 3n^7
3. x^9
4.-2s^9
5. 6v^14
6.-3p^6
7. 8b^10
can i get brainliest for this pls :)
The hypotenuse of a triangle is 19cm calculate the length of the shortest side
Answer:
It is either 1 or 0.9
Step-by-step explanation:
COS=. adjacent / hypotenuse
adjacent = x
hypotenuse =19
COS= x / 19
cross multiply
x = COS (9)
x=0.91113026
The length of shorter side is 9.5 cm.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Ratio = 1 : 2 : 3
Hypotenuse = 19 cm
The sides are x, 2x and 3x.
x+ 2x + 3x = 180
6x= 180
x= 30 degree
and, 3x= 90 degree
Now, using Trigonometry
sin 30 = y/ 19
y= 19/2
y= 9.5
Hence, the length of shorter side is 9.5 cm
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What is the inequality of -3x-3<6
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
Which is an example of a survey involving quantitative data? the favorite food of each person the number of cavities each person has had the color of the walls in each person’s bedroom the type of car that each person owns
Answer: Number of Cavities
There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?
Answer:
27
Step-by-step explanation:
Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:
x - 4 + 3x - 4 + 4 = 32
4x - 4 = 32
4x = 36
x = 9
Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.
Answer:
27
Step-by-step explanation:
Solve the equation. 1.25 =0.75+r
Answer:
0.50
Step-by-step explanation:
Do the opposite of addition
So 1.25 - 0.75
The solution to the equation 1.25 = 0.75 + r for r is r = 0.5
How to determine the solution to the equation for rFrom the question, we have the following parameters that can be used in our computation:
1.25 = 0.75 + r
Add -0.75 to both sides of the equation
so, we have the following representation
-0.75 + 1.25 = 0.75 + r + -0.75
Evaluate the like terms on the right hand side
This gives
-0.75 + 1.25 = r
Evaluate the like terms on the left hand side
This gives
0.5 = r
Rewrite as
r = 0.5
Hence. the solution is 0.5
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Question is the ScreenShot C:
A. 12
B. 13
C. 16
D. 18
Answer:
B. 13
Step-by-step explanation:
[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]
Answer:
B. 13 is the answerStep-by-step explanation:
First, use PEMDAS
Parenthesis, Exponents, multiplication, division, addition, subtraction
1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents
1/16*48 = 48/16 = 3 = Multiplication and Division
3+10 = 13 = Addition
This can conclude that 13 is the answer.