Answer:
- 12s² + 11st - 2t²
Step-by-step explanation:
Given
(- 3s + 2t)(4s - t)
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s² + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
Solve the following equation and explain each step using apropriate Properties
5(4x-3)-18=7
Answer:
x=2
Step-by-step explanation:
5(4x - 3) - 18 = 7
20x - 15 - 18 = 7 distributive property
20x - 33 = 7 communitive property
20x = 40
-------------
20
x=2
Plz help will mark brainliest :)
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answer:
A.
Step-by-step explanation:
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
What is 60,000+3,000+20+9 in standard form?
60,000 + 3,000 + 20 + 9
= 63,000 + 29
= 63,029.
Answer: 63,029
Hope this helps have A wonderful Christmas
Step-by-step explanation:
Find the length of side x in the simplest radical form with a rational denominator.
The answer is 60 or 15 because you need to have 150 for a triangle
2/5k - 3 1/2. K= 15
EVALUATE
Answer:
Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k
Solving:
[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]
Convert mixed fraction into improper fraction
[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]
Taking LCM of 5 and 2 we get 10
[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]
Divide both sides by -31/10
[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]
So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
What 3/4 x 5/8 in fraction
Answer: Hi! 15/32, I think!
Answer:
15/32
Step-by-step explanation:
Brand A: $5 for 80 pounds of sand Brand B: $14 for 175 pound bag Which is the better buy?
Answer:
Brand A is the better buy
Step-by-step explanation:
bag Which is the better buy?
Step one
Brand A: $5 for 80 pounds of sand
Let us find the unit cost
Unit cost =5/80
=$0.0625 per pound
Brand B: $14 for 175 pound
The unit cost is
=14/175
=$0.08 per pound
Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,
The line segment AC (side a) is the longest side of triangle ABC.
To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.
Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.
To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
a, b, c are the side lengths of the triangle.
A, B, C are the angles opposite to sides a, b, c, respectively.
Let's calculate the length of side AC (a) using the law of sines:
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(45°) = b/sin(75°) = c/sin(60°)
a/√(2) = b/sin(75°) = c/sin(60°)
Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.
a = √(2) * b and a = (√(3)/2) * c
Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.
To know more about triangle:
https://brainly.com/question/2773823
#SPJ2
The complete question is:
A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest
a giraffe is 16 feet tall and casts a shadow of 24 feet. if Dustin casts a shadow of 9 3/5 feet how tall is he?
Answer:
12.4 feet
Proportion of giraffe's height vs the height of its shadow = 16/24 = 2/3
If Dustin's height is x feet tall, then the proportion of his height and the height of his shadow (93/5 feet)should be the same as that of the giraffe, which is 2/3
so,
x/93/5 = 2/3
Multiplying both sides with 93/5
x = 2/3 * 93/5
x = 62/5 =12.4
What is the balance after 15 years in a savings account that earns 2 % interest compounded bimonthly when the
initial deposit is $1000?
$1300.50
$1020.11
O $1012.52
$1348.07
For what value of k does the equation 5x – 32 = kx + 3 have no solution?
Step-by-step explanation:
5x - 32 = kx + 3
(5 - k)x = 35
This equation fails when (5 - k) = 0, or k = 5.
if x=2+√3,then find the value of x-1/x
Lashonda started to run on a treadmil, after setting it's timer for 64 minutes, The display states that she has finnished 68% of her run, how many minutes have gone by?
Step-by-step explanation:
It is 64*0.32=20.48 minutes or 20.5 minutes.
Answer:
43.52
Step-by-step explanation:
first you have to multiply the amount of time in all by the percent she has done. then after that you divide by 100.
c + 5d = -13
4c - 5d = 48
Solve the simultaneous equations
c=__
d=__
Solve the system by substitution 2x-y=39 and -6y=x
Answer:
x=18,y=-3
Step-by-step explanation:
A banquet room is being carpeted. A floor plan of the room is shown.
The carpet costs $0.50 per millimeter. How much will it cost to carpet the room? Use 3.14 for LaTeX: \piπ .Round your answer no the nearest cent.
Answer: 144.84
Step-by-step explanation:
Alan travels eight and two thirds kilometers to get to school. He ran one and ten elevenths kilometers and walked the rest. How many kilometers were left to walk?
1.six and two thirty thirds kilometers
2.five and twenty five thirty thirds kilometers
3.six and twenty five thirty thirds kilometers
4.six and twenty thirty thirds kilometers
Answer:
3!
Step-by-step explanation:
8 2/3 - 1 10/11 = 223/ 33 (6 25/ 33)
Hope it helped!
please help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54.5
Step-by-step explanation:
The commission on the sale of a property is 4.5% of the value. What is the commission on the sale of a property that has a value of $19,500.
Answer:
$877.50
Step-by-step explanation:
1. Multiply the value by the percentage.
19,500 x 4.5% = $877.50
This is the amount of the commission.
t-5 for t=7 solve for t
Answer:
2?
Step-by-step explanation:
7-5 is equal to 2
Answer:
2
Step-by-step explanation:
what ordered pair is a solution to the equation y= -2/3x + 9?
(-3/2, 10), (0, 10), (-1, 10 2/3), (2/3, 10)
Answer:
(-3/2, 10)
Step-by-step explanation:
(x, y)
Set y = 10
10 = -2/3(x) + 9
x = -3/2
(-3/2, 10)
Set y = 10 2/3
10 2/3 = -2/3(x) + 9
x = -5/2
(-5/2, 10 2/3)
You can also plot the line and see which point is on the line which would be (-3/2, 10).
The ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Recall:
An ordered pair, (x, y) is a solution to a given equation if we plug the x and y values of the ordered pair and the equation remains TRUE.Thus, plug in the ordered pair, (-3/2, 10) into y= -2/3x + 9:
10 = -2/3(-3/2) + 9
Simplify10 = 1 + 9
10 = 10 (TRUE)
Therefore, the ordered pair that represents the solution to y= -2/3x + 9 is: A. (-3/2, 10)
Learn more about solution to an equation on:
https://brainly.com/question/15523338
hi i need help for this question, what's the slope for this
Answer:
sorry for being late :P
Step-by-step explanation:
slope = rise / run
by inspection of the graph.. it looks like the line goes over 2 units and then up one unit so 1/2.... and b/c it's going up... like up hill.. it's positive...
+ 1/2 is the slope
Solve the system using linear combinations.
–5x + y = 1
9x – 2y = 4
Answer:
(-6, -29)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-5x + y = 1
9x - 2y = 4
Step 2: Rewrite Systems
-5x + y = 1
Add 5x on both sides: y = 5x + 1Step 3: Redefine Systems
y = 5x + 1
9x - 2y = 4
Step 4: Solve for x
Substitution
Substitute in y: 9x - 2(5x + 1) = 4Distribute -2: 9x - 10x - 2 = 4Combine like terms: -x - 2 = 4Isolate x term: -x = 6Isolate x: x = -6Step 5: Solve for y
Define equation: -5x + y = 1Substitute in x: -5(-6) + y = 1Multiply: 30 + y = 1Isolate y: y = -29help me plz....................................................................
Answer:
A
Step-by-step explanation:
The steps are correct! You want to get x terms on one side, numbers on the other side. You can do that by adding or subtracting both sides of the number or term you want to move.
Please give thanks by clicking the heart button! good luck!
100 and brainliest if you tell me ur favorite anime :]
Answer:
my fav anime is naruto :)
Step-by-step explanation:
Answer:
naruto and MHA
Step-by-step explanation:
find the measure of abc
Help please and Thankyou
a) A square with sides of length 8 units, sits on a graph with is lower left hand corner at the origin. This square is translated 5 units up,and 7 units left. What are the coordinates of the upper right hand corner after translation.
b) Explain
Answer: not correct reset an-[ERROR]
Step-by-step explanation:
Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 meters. The scale factor is ?
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length
Therefore, the scale factor is 1 : 3000
The scale factor is 1; 3000.
Given
The scale measures 4 centimeters equal to 120 meters.
What is the scale factor?The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
Scale factor means 1 unit on the scale is equal to what length of actual measurement.
4 cm of scale = 120 meters or 12000 cm of actual length.
1 cm of scale = 4/4
Then,
[tex]= \dfrac{12000}{4}\\\\=3000[/tex]
Hence, the scale factor is 1; 3000.
To know more about the Scale factor click the link given below.
https://brainly.com/question/8765466
help please. marked brainliest 15 points!!!!!
Answer:
SAS or side-angle-side because there are two congruent sides with a congruent angle between them
Step-by-step explanation: