Answer:
2 x a + 2
Step-by-step explanation:
You are welcome
Solve the equations
Y=2x-4, 3x+y=1
Step-by-step explanation:
[tex]y = 2x - 4[/tex]
[tex]3x + y = 1[/tex]
[tex]y = 1 - 3x[/tex]
Equating,
[tex]2x - 4 = 1 - 3x[/tex]
[tex]2x + 3x = 1 + 4[/tex]
[tex]5x = 5[/tex]
[tex]x = 1[/tex]
Placing it,
[tex]y = 1 - 3( 1)[/tex]
[tex]y = 1 - 3[/tex]
[tex]y = - 2[/tex]
How much salt is in a mixture containing 10 gallons of an 11% salt solution and 6 gallons of a 7% salt solution?
I think I can solve it but forming the equation is where I have problems.
Answer:
Step-by-step explanation:
There really isn't an equation because there isn't an unknown. If we create a table, the "equation" that you are talking about will be come apparent. Let's call the 2 solutions Sol 1 and Sol 2:
Gallons of solution * % salt = Gallons of salt
Sol 1
Sol 2
If we fill in this table according to the info we are given, we have 10 gallons of the 11% solution, and 6 gallons of the 7% solution, so
Gallons of solution * % salt = Gallons of salt
Sol 1 10 .11 = 1.1 gallons of salt
Sol 2 6 .07 = .42 gallons of salt
We multiply the Gallons of solution by the % salt to get the gallons of salt. There are 1.1 gallons of salt in solution 1 and .42 gallons of salt in solution 2, so in the mixture (which is 16 gallons) there is 1.1 + .42 gallons of salt, which is 1.52 gallons of salt.
find the distance between the two points rounding to the nearest tenth (if necessary)
(8,-4)and (3,8)
The distance between the given points is 13 units.
We have two coordinate points A(8, -4) and B(3, 8).
We have to determine the distance between these two points.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of 1st point - A(8, -4)
Coordinates of 2nd point - B(3, 8)
Using the distance formula given -
d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]
d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13 units
Therefore, the distance between the given points is 13 units.
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Solve for x.
[tex]x + 6 - 2x = x - 24[/tex]
x = [?]
Greetings from Brasil...
First degree equation. The variables are in the 1st member and the numbers in the 2nd member.
X + 6 - 2X = X - 24
X - 2X - X = - 24 - 6
- 2X = - 30
X = 15An auto shop has 2 used vehicles for sale, 1 car and 1 truck. The truck is 3 years older than the car but 7 years older than one-half the car’s age. How many years old is the car?
Answer:
The car is 13 years old
Step-by-step explanation:
Lets say Car is x and the Truck is y, so the trucks age = x + 3 = y
Lets find the value of the Car or x
x + 3 = 1/2(x + 7)------- >
first we will divide x by 1/2 and 7 by 1/2, So...
x + 3 = (x / 1/2 + 7 / 1/2)------- >
x + 3 = 1/2x + 3.5------->
next Isolate variable x,
x + 1/2x = 3 + 3.5
1/2x = 6.5, So...
x = 13 and in turn, y = 13 + 3
:)
what is 2.5 (x - 1) + 4.5 (-x - 2)
Answer:
2.5(x-1)+4.5(-x-2)
2.5x-2.5-4.5x-9
-2x-11.5
Step-by-step explanation:
Answer:
2x-11.5
Step-by-step explanation:
[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]
hope this helps
Alg 1 Wee
Consider the expression 5 (y-7). Which of the following correctly expresses this expression?
Answer:
5y-35
Step-by-step explanation:
since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer
4-(2y-1)=2(5y+9)+y please help quick
Step-by-step explanation:Step 1: Simplify both sides of the equation.
4−(2y−1)=2(5y+9)+y
4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)
4+−1(2y)+(−1)(−1)=2(5y+9)+y
4+−2y+1=2(5y+9)+y
4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)
4+−2y+1=10y+18+y
(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)
−2y+5=11y+18
−2y+5=11y+18
Step 2: Subtract 11y from both sides.
−2y+5−11y=11y+18−11y
−13y+5=18
Step 3: Subtract 5 from both sides.
−13y+5−5=18−5
−13y=13
Step 4: Divide both sides by -13.
−13y
−13
=
13
−13
y=−1
Answer: y =-1
Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.
Given, equation:
[tex]4 - (2y - 1) = 2(5y + 9) + y[/tex]
We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.
[tex]4 - 2y + 1 = 10y + 18 + y[/tex]
[tex]5 - 2y = 11y + 18[/tex]
Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.
[tex]5 - 2y + 2y = 11y + 18 + 2y[/tex]
[tex]5 = 13y + 18[/tex]
Flipping the equation for easy calculation,
[tex]13y + 18 = 5[/tex]
Solving further,
[tex]13y = - 13[/tex]
[tex]y = \frac{ - 13}{13} [/tex]
[tex] \boxed{y = - 1}[/tex]
Hence, we are done !!
━━━━━━━━━━━━━━━━━━━━
What is the y-intercept of the line that is
perpendicular to y = -3x - 5 and passes
through the point (-3,7)?
A-3
B 1/3
C 8
D 10
Answer:
The y-intercept of the line would be (C) 8
Step-by-step explanation:
The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.
We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, [tex](7) = \frac{1}{3}( -3) + b[/tex].
Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.
✨I don't understand ✨
Answer:
it is not a that all i know i am not a roket scientist in school LOL
Step-by-step explanation:
!!!!!!!!Pls hurry I need help to solve this !!!!!!!
(3m^2 – 5m + 2)^2
Answer: 9m^4- 30m^3 +37m^2 - 20m + 4
Step-by-step explanation:
(3m^2 -5m +2)^2 is the same as (3m^2 -5m +2)(3m^2 -5m +2)
Now apply the distributive property 3 times to solve.
3m^2(3m^2 -5m + 2) = 9m^4 - 15m^2 + 6m^2
-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m
2(3m^2 -5m +2) = 6m^2 - 10m + 4
Now add the solutions
(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =
9m^4- 30m^3 +37m^2 - 20m + 4
Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measure of angle B =
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
if a number is positive, then it’s square is positive
Answer:
Yes, because of the fact that (+)(+)=+, but (-)(+)=-
Step-by-step explanation:
100 points
FOR EACH SCENARIO, CHECK THE BOX FOR THE APPROPRIATE UNIT
RATE FOR PRICE PER 1 POUND *
$4
$10
$6
$5
$2
$50 FOR
5LBS
o
O
O
$48 FOR
8LBS
О.
O о o
$44 FOR
11LBS
O.
O
$26 FOR
13LBS
O
O
$100 FOR
20LBS
O
O
O
O
Answer:
there is a button on the side of your keyboard that turns off all caps
ACTUAL ANSWER: 1 dollar a pound
Step-by-step explanation:
Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle people are P prime Q prime R prime S prime . What are the coordinates of point R prime
Answer:
R'(4, -1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.
If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x)
From the image attached, below are the location of the points:
P(-3, -1), Q(-1, -1), R(-1, -4) and S(-3, -4)
If point R(-4, -1) is rotated 90° counterclockwise about the origin, its new location would be at R'(4, -1)
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-1, 3,-9, 27,
a. Multiply by 3; 81, 243, 729
b. Multiply by -3; -81, 243, -729
C. Multiply by -3; 81, 243, 729
d. Multiply by 3; -81, -243, -729
Answer:
answer is b
Step-by-step explanation:
y = x - 2 and y=-2x +7
Answer:
x = 3 , y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3 , y = 1
[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]
[tex]\hrulefill[/tex]
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:
[tex]-2x+7=x-2[/tex]
Add [tex]2x[/tex] to both sides of the new equation:
[tex]7=3x-2[/tex]
Now add [tex]2[/tex] to both sides of the equation:
[tex]9=3x[/tex]
Divide both sides by [tex]3[/tex]:
[tex]\boxed{3}=x[/tex]
Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:
[tex]y=3-2[/tex]
Simplify using subtraction:
[tex]y=\boxed{1}[/tex]
This means our solution is:
[tex]\large\boxed{(3, 1)}[/tex]
1) Which expression represents the area of the
frame in square inches?
12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The area of the two squares can be written as,
Area of the larger square = 12²
Area of the smaller square = s²
Now, The area of the frame
= Area of the larger square - Area of the smaller square
= 12² - s²
Hence, the expression represents the area of the frame in square inches is 12² - s².
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The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then the two parallel sides are.
Answer:
The two parallel sides a and b are 17 cm and 23 cm respectively
Step-by-step explanation:
Area of a trapezium = {(a+b)/2} h
Where
h = height = 18 cm
a = parallel side 1 = x
b = parallel side 2 = x + 6
Area of a trapezium = {(a+b)/2} h
360 = {(x + x + 6) / 2} 18
360 = { (2x + 6) / 2} 18
360 = (2x + 6) 9
360 = 18x + 54
Subtract 54 from both sides
360 - 54 = 18x
306 = 18x
Divide both sides by 18
x = 306 / 18
= 17
x = 17 cm
a = parallel side 1 = x
x = 17 cm
b = parallel side 2 = x + 6
x + 6
= 17 + 6
= 23 cm
!!30 POINTS!!
Name the ray that is opposite RS
Answer:
RP is the correct amswer.
Step-by-step explanation:
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If Jonathas has saved a total of $700 for the cell
phone, how many months can he pay for?
Choose the equation that represents this situation.
59 + 39m = 700
59 + 39m + 700 = C
39m = 700
Answer: The answer is A
Answer:
its A!!!! i just did it!
Step-by-step explanation:
PLEASE HELP ME I WILL REWARD YOU BRAINLIEST: find the slope of the line through each pair of points [tex](\frac{2}{3} , \frac{4}{7} ) and[/tex][tex](\frac{2}{3} , \frac{11}{7} )[/tex]
Answer:
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
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Point D is on line segment CE.Given DE = 4 and CD
СЕ. .
8, determine the length
CE
Which statements are biconditional? Check all that apply.
All triangles and rectangles are polygons.
Sam bakes cookies or he bakes bread.
If it is fashionable, then this store sells it.
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
Victoria will play outside if and only if the weather is nice.
The statements that are biconditional include:
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.Victoria will play outside if and only if the weather is nice.What is a biconditional statement?A biconditional statement combines a conditional statement with its inverse. As a result, one conditional is true if and only if the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." The double arrow indicates that the conditional must be true in both directions.
Examples are that if and only if the polygon is a quadrilateral, it has four sides. If and only if the polygon has four sides, it is a quadrilateral. If and only if the quadrilateral is a square, it has four congruent sides and angles.
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On her birthday, Jenny took a treat to school. She took 6 packs of 4 cupcakes and 3 packs of 8 candy bars. How many items did she take to school in all? Choose the answer that has the correct expression and the correct answer to the question.
Answer:
48 items
Step-by-step explanation:
6 packs of cupcakes with 4 in them, is 24 items. and 3 packs of candy with 8 pieces in them is also 24. 24+24=48. so (6×4)+(8×3)=48
Answer:
48
Step-by-step explanation:
6 x 4 = 24 Plus 3 x 8 = 24. If you add 24+24 its 48.The Upper Crust Bakery is ordering supplies. They expect to sell 8,000 loaves of bread next month. Their bread recipe, which makes 8 loaves, calls for 6 pounds of flour. How many tons of flour should they order for the next month?
Answer:
3 Tons on IXL
Step-by-step explanation:
6000 tons of flour should they order for the next month.
Given that, Upper Crust Bakery expect to sell 8,000 loaves of bread next month. Their bread recipe, which makes 8 loaves, calls for 6 pounds of flour.
We need to find how many tons of flour should they order for the next month.
What are sales?Sales are activities related to selling or the number of goods sold in a given targeted time period. The delivery of service for a cost is also considered a sale.
Based on the given conditions, formulate: 6×8000÷8
=48000/8=6000
Therefore, 6000 tons of flour should they order for the next month.
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simplify the following expressions ( use distributed property )
Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
12t – 2 < -5t + 36
Answer:
t < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
Given
12t - 2 < - 5t + 36 ( add 5t to both sides )
17t - 2 < 36 ( add 2 to both sides )
17t < 38 ( divide both sides by 17 )
t < [tex]\frac{38}{17}[/tex]
Answer:
Step-by-step explanation:
12t - 2 < -5t + 36
17t < 38
t < 38/17
What is the midpoint for the points (2, 4) and (8, 10)?
Answer:
(5,7)
Step-by-step explanation:
Patricia is ordering t-shirts for her business. Company A charges $10.50 for each t-shirt and a one-time design fee of $45. Company B charges $12.50 for each t-shirt and a one-time design fee of $35.
Which inequality can be used to find x, the minimum number of t-shirts that can be ordered so that the total charge at Company A is less than the total charge at Company B?
10.5+45x>12.5+35x
10.5x+45>12.5x+35
10.5+45x<12.5+35x
10.5x+45<12.5x+35
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Answer:
I think the answer would be the fourth answer or the second answer.
sorry if its not the correct answer.
Step-by-step explanation:
D; 10.5x + 45 < 12.5x + 35
We are told that;
Charges of Company A; $10.50 for each t-shirt plus one-time design fee of $45. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;C_a = 10.5x + 45
Similarly, we are told that;
Charges of Company B; $12.50 for each t-shirt plus one-time design fee of $35. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;C_b = 12.5x + 35
Since we want to make C_a < c_b
Then, we will have;
10.5x + 45 < 12.5x + 35
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