When w is 5 both expressions have the same value 24.
When w is 10 both expressions have the same value 84.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Substitute w = 5
12 (w - 3)
= 12 (5 - 3)
= 12 x 2
= 24
And,
12w - 36
= 12 x 5 - 36
= 60 - 36
= 24
Now,
Substitute w = 10
12 (w - 3)
= 12 (10 - 3)
= 12 x 7
= 84
And,
12w - 36
= 12 x 10 - 36
= 120 - 36
= 84
Thus,
When w is 5 both expressions have the same value.
When w is 10 both expressions have the same value.
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When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.
To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]
When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(5 - 3) = 12(2) = 24\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]
Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]
Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]
For the expression [tex]\(12(w - 3)\):[/tex]
[tex]\[12(10 - 3) = 12(7) = 84\][/tex]
For the expression [tex]\(12w - 36\):[/tex]
[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]
Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.
Which type of figure has atleast two lines of symmetry?
A. isosceles triangle
B. rhombus
C.parallelogram
D.trapezoid
The answer is B rhombus because you can split a rhombus in half twice and have the same shape for both half
There are 5 players in a baseball lineup. How many different batting orders are possible for these 5 players? (use FACTORIALS to find the probability of the number of permutations)
Answer:
i believe it is "5!"
Step-by-step explanation:
1x2x3x4x5=120
but the answer is "5!" ( include the exclamation point)
hope this helps (again)
Answer:
5! or 120.
Step-by-step explanation:
Think about this logically:
You have 5 players to start off with, so you have 5 players that can go in the first position.
That leaves you with 4 players. Any one of those 4 players can go in the second position.
And then there were 3 players. Any one of those 3 players can go in the third position.
2 to go! Pick your favorite player out of the 2 available to go in the fourth position.
And that leaves just one player who has to go last.
This can be modeled as: 5x4x3x2x1, or 5!, which equals 120 unique permutations.
An egg is dropped from a height of 90 ft. If acceleration die to gravity is -16ft/s^2 and initial velocity is 0ft/s, approximately how long will it take for the egg to reach the ground?
t = time
Multiply the acceleration by time and add to the height:
The equation becomes H(t) = -16 * t^2 + 90
set h(t) to 0
0 = -16*t^ +90
Subtract 90 from both sides:
-90 = -16*t^2
divide both sides by -16:
t^2 = -90 / -16
t^2 = 5.625
t = √5.625
t = 2.37 seconds, round to 2.4 seconds.
Answer: b
Step-by-step explanation: edge
Can somebody help me answer this plz?
It’s D because clock wise is right then you enlarge it to fit the new triangle
Answer:
Its the last choice.
Step-by-step explanation:
That would be a 90 degree clockwise rotation about the origin, followed by an enlargement of factor 3.
⚠️⚠️⚠️
joby had $421.56 in her checking account when she deposited g $20 bills and k quarters. Write an expression that represents the amount of money in her account after the deposit.
Answer: [tex]421.56+20g+\frac{k}{4}[/tex]
Step-by-step explanation:
You have the following information given in the problem above:
- She had $421.56 in her checking account.
- She she deposited g $20 bills (which you can rewrite: [tex]20g[/tex]) and k quarters (which you can rewrite as folllowing:[tex]\frac{k}{4}[/tex]).
Therefore, the amount of money in her account after the deposit is the sum of the amoun she had in her account plus the amoun of money she deposited.
Then, you can write the following expression:
[tex]421.56+20g+\frac{k}{4}[/tex]
Answer:
421.56 + 20g + 1/4 k
Step-by-step explanation:
Joby had $421.56, and she deposited g $20 bills, and k quarter:
We don´t know how many $20 bills she deposited but we know it is expressed by the letter g, so she deposited $20g, and we add to that how many quarters of a dollar she added, in this case, we know that she deposited k quarters or 1/4 k dollars.
To write an expression to know the amount of money she has after the deposit we have to add:
What she had before the deposit = $421.56
The Dollars in $20 bills, we know it is = 20g
The number of dollars in a quarter of a dollar = 1/4 k
So we write:
421.56 + 20g + 1/4k
Find the area of the figure below, formed a triangle and a parallelogram
Answer:
96
Step-by-step explanation:
The area of a parallelogram is A = b*h. Substitute b = 8 and h= 6 to find the area.
A = 8*6 = 48
The area of a triangle is A = 1/2 b*h. Substitute h = 6 and b = 16 since the triangle has a length of 8 as well as the whole parallelogram.
A = 1/2 *16*6 = 48
Together the areas equal 48 + 48 = 96
Chyra redeemed 175 shares of stock she owned in the fund shown below. Name of Fund NAV Offer Price CAH Group $15.83 $16.27 What were Chyra’s proceeds? a. $77.00 b. $2,770.25 c. $2,847.25 d. $5,617.50
Answer:
Option b $2,770.25
Step-by-step explanation
Chyra owned shares of stock, details are :
Name of Fund - CAH Group
NAV - $15.83
Offer Price - $16.27
Chyra redeemed stock = 175 shares
As we know shares can be redeemed on NAV price.
Chyra's proceeds = 175 × 15.83 = $2,770.25
Chyra's proceeds were $2,770.25.
Answer:
B
Step-by-step explanation:
$2,770.25
what’s transformation is the result of reflect in the original figure across the Y-axis and then across the X-axis
Answer:
D
Step-by-step explanation:
When reflected across the Y it becomes B, but then across the X, it fits into D.
The following equation describes a circle.
2x^2 - 20x + 2y^2 + 8y =40
What are the center and radius of the circle?
Based on the given equation of the circle, the center of the circle is (5, -2), and the radius is 7.
How to determine the center and radius of the circle
To determine the center and radius of the circle described by the equation rewrite the equation in the standard form of a circle equation, which is
[tex](x - h)^2 + (y - k)^2 = r^2.[/tex]
First, complete the square for both the x and y terms:
[tex]2x^2 - 20x + 2y^2 + 8y = 40[/tex]
To complete the square for the x-terms, factor out a 2 from the [tex]x^2[/tex] and x terms:
[tex]2(x^2 - 10x) + 2y^2 + 8y = 40[/tex]
Now, add and subtract the square of half the coefficient of x, which is [tex](-10/2)^2[/tex] = 25:
[tex]2(x^2 - 10x + 25 - 25) + 2y^2 + 8y = 40[/tex]
Simplifying inside the parentheses:
[tex]2((x - 5)^2 - 25) + 2y^2 + 8y = 40[/tex]
Similarly, for the y-terms, add and subtract the square of half the coefficient of y, which is
[tex](8/2)^2[/tex] = 16:
[tex]2((x - 5)^2 - 25) + 2(y^2 + 4y + 4 - 4) = 40[/tex]
Simplifying inside the parentheses:
Now, let's distribute the 2 on both terms:
[tex]2(x - 5)^2 - 50 + 2(y + 2)^2 - 8 = 40\\2(x - 5)^2 + 2(y + 2)^2 - 58 = 40[/tex]
Rearrange the equation:
[tex]2(x - 5)^2 + 2(y + 2)^2 = 98[/tex]
Divide both sides by 2 to simplify:
[tex](x - 5)^2 + (y + 2)^2 = 49[/tex]
Now the equation is in the standard form of a circle equation.
Comparing it to [tex](x - h)^2 + (y - k)^2 = r^2[/tex], we can see that the center of the circle is (h, k) = (5, -2), and the radius squared is r^2 = 49.
Take the square root of both sides
r = 7.
Therefore, the center of the circle is (5, -2), and the radius is 7.
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
[tex]\large\boxed{(6,\ 2)}[/tex]
Step-by-step explanation:
[tex]y-x<-3\qquad\text{add}\ x\ \text{to both sides}\\\\y<x-3\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(6,\ 2)\to x=6,\ y=2\\2<6-3=3\qquad\text{CORRECT\ :)}\\\\(2,\ 6)\to x=2,\ y=6\\6<2-3=-2\qquad\text{FALSE\ :(}\\\\(2,\ -1)\to x=2,\ y=-1\\-1<2-3=-1\qquad\text{FALES\ :(}[/tex]
What is an expression that is equivalent to 5( y + 2)
Answer:
5y + 10
Step-by-step explanation:
simply open the brackets by multiplying everything by 5;
5(y+2) = 5y + 10
5y + 10 is the expression that is equivalent to 5( y + 2)
Answer:
Step-by-step explanation:
5y+10
I WILL AWARD BRAINLIEST!!! PLEASE HELP!!!
Find the areas of the trapezoids.
the area of the trapezoid is 9
Answer:
A = 7.5 unit^2
Step-by-step explanation:
The area of a trapezoid is found by
A =1/2 (b1+b2) *h
b1 = 1 unit
b2 = 4 units
h = 3 units
I found these by counting on the graph
A = 1/2(1+4) *3
A = 1/2(5)3
A = 7.5 unit^2
Rebecca can make 180 cupcakes at her bakery each day. Currently, she has orders for more than 540 cupcakes.
1)
Which inequality represents how many days it will take Rebecca to complete her orders?
A) x > 3
B) x < 3
C) x ≥ 3
D) x ≤ 3
2)
Which graph shows the solution set for the inequality that represents how many days it will take Rebecca to complete her orders?
A) A
B) B
C) C
D) D
* Hover over answer image to enlarge
Answer:
(1) It is a 180x3=540. 0x3=0 3x8=24 send the tens on top of the 1 and add 1+2 tens and you get 540! I hope this is helpful
Step-by-step explanation:
Prolly A
1) The correct inequality which represent number of days it will take Rebecca to complete her order is,
⇒ x > 3
2) The correct graph is shown in image.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Rebecca can make 180 cupcakes at her bakery each day. Currently, she has orders for more than 540 cupcakes.
Let number of days is, x
Now, We can formulate;
⇒ 180x > 540
⇒ x > 3
Hence, 1) The correct inequality which represent number of days it will take Rebecca to complete her order is,
⇒ x > 3
And, The correct graph of x > 3 is shown in image.
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Name the quadrilaterals that have four equal angles. A. rhombus, square B. Square, rectangle C. parallelogram, rhombus D. rhombus, trapezoid
Answer:
B. Square, Rectangle.
Step-by-step explanation:
The correct answer is B. Square, Rectangle.
A square will always have four equal angles and sides.
A rectangle will not have equal sides, but will always have angles of 90 degrees, as does the square.
Hope this helps!
Final answer:
Quadrilaterals with four equal angles are rectangles and squares since they both have four right angles. The correct answer is B: Square, Rectangle.
Explanation:
The question asks us to name the quadrilaterals that have four equal angles. A quadrilateral is a polygon with four sides and four angles. When all the angles in a quadrilateral are equal, they have to be right angles (each measuring 90°) since the sum of all angles in any quadrilateral is 360°. Thus, the types of quadrilaterals with four right angles are:
Rectangle: All four angles are right angles, and opposite sides are equal.
Square: It has all the properties of a rectangle but with the added feature that all four sides are also equal.
Therefore, the rectangles and squares are the quadrilaterals that have four equal angles.
A rhombus has four equal sides, but the angles are not necessarily right angles. A parallelogram has opposite angles that are equal, which does not guarantee that all four angles are equal unless it's a rectangle. Trapezoids generally do not have four equal angles. Therefore, the correct answer to the question is option B: Square, Rectangle.
Point P (1, 7) is located on circle C. The center of circle C is (-2, 3). What is the radius of the circle?
Answer:
Radius = 5 units
Step-by-step explanation:
We can use the formula of getting magnitude of a line joining two points;
(x1, y1) and (x2, y2)
Length = √((x2-x1)² + (y2-y1)²)
Therefore;
In this case the radius will be; PC
Length of PC = √((3-7)² + (-2-1)²)
= √((-4)² + (-3)²)
= √(16 +9)
= √ 25
= 5 units
Thus the radius is 5 units
write the expression in complete factored form. 5 (u+5) + p (u+5) =
[tex]5(u + 5) + p(u + 5) = (p + 5)(u + 5)[/tex]
i need help with this question
Answer:
2
Step-by-step explanation:
I don't think you are asked to prove that these triangles are similar. The diagram leads you to believe that they are. The easiest way to solve this is to take 2 corresponding lines and compare them.
So how do you get from FE to BA
BA / FE = 6/3
BA = 6
FE = 3
BA / FE = 6/3
BA / FE = 2
The scale factor is 2
20 points, Pythagorean Theorem (picture provided)
The angles at the left and right tips of the kite are right angles. The length of the long, diagonal brace of this kite is 100 cm. The length of the shorter side of the kite is 60 cm. What is the length of the longer side of the kite?
A. √13600
B. 40
C. 80
D. 1600
(sorry if the symbol for choice A. is wrong)
ANSWER
C. 80
EXPLANATION
The longer diagonal is serving as the hypotenuse of the right triangles.
Let the longer side of the kite be x cm.
Then, from the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.
This means that,
[tex] {x}^{2} + {60}^{2} = {100}^{2} [/tex]
[tex] {x}^{2} + 3600 = 10000[/tex]
[tex] {x}^{2} = 10000 - 3600[/tex]
[tex] {x}^{2} = 6400[/tex]
[tex]x = \sqrt{6400} [/tex]
[tex]x = 80cm[/tex]
Answer:c
Step-by-step explanation:
Chris pays a fee if her bank balance falls below $10 on the statement date, her balance was -$3.46. Then, Chris made a deposit, d, in ample time, so she did not have to pay a fee. Write an inequality to represent this situation. Then solve the inequality. Describe the meaning of the solution.
If her balance is below 10, Chris must pay a few.
b = balance
Her balance was -$3.46. Then, Chris made a deposit, d, in ample time, so she did not have to pay a fee.
b + d > 10
b = -3.46
Inequality: -3.46 + d > 10d > 10 - -3.46
Solved: d > 13.46Meaning: The amount that Chris deposits has to increase her balance, so that it's not less than $10.Based on the information you provided, we can write an inequality to represent the situation. Chris's balance was -$3.46 and she made a deposit of d dollars. To avoid paying a fee, her balance must be greater than or equal to $10 on the statement date. So the inequality is: -3.46 + d >= 10. Solving for d, we get d >= 13.46. So Chris must have deposited at least $13.46 to avoid paying a fee.
Translate the phrase into an algebraic expression. 5 more than y
Answer: 5>y
Step-by-step explanation:
Answer:
y + 5
Step-by-step explanation:
5 more than y
y + 5
Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the nearest foot?
Answer: 29 feet.
Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.
91 = 3.14 x d
In order to solve for d you need to divide both sides for 3.14:
D = 28.98, rounded to the nearest foot is 29 feet.
Plz Hellllllllllp meeeeee
Answer:
The answer would be 8 cubic inches
Step-by-step explanation:
Answer: The answer is 14 Cubic In.
Step-by-step explanation: There is 10 Cubic In. in the bottom + the vertical 4 Cubic In. = 14 Cubic In.
Who needs Brainliest?
SHOW YOUR WORK since i need to do so
The question is what is 100^ 1/20x2x40x1000000/2=
Answer:
The answer is 200000000
Step-by-step explanation:
You take all the numbers and follow the order of operations.
1/20 x 2=
0.1 x 40=
4 x 1000000=
4000000/2=
2000000
Answer:
100²⁰⁰⁰⁰⁰⁰
Step-by-step explanation:
1/20 = .05 // .05*2 = .1 /// .1*40= 4 /// 4* 1000000 = 4000000 /// 4000000/2 = 2000000 so 100^ 1/20x2x40x1000000/2=100²⁰⁰⁰⁰⁰⁰
Help please and thank you
Answer:
C
Step-by-step explanation:
how i figured this out was not by using the table, but you can use the table
i just asked myself what two numbers multiplied together has a product of -12, one number must me negative
the two numbers must also add up to -4, meaning the bigger number had to be negative
the only answer that worked was 2 and -6
Which product is modeled by the number line below?
Answer:
The correct option is 2.
Step-by-step explanation:
From the given number line it is clear that there are 4 jumps of 2 units in opposite direction.
After first jump, the total covered distance is
[tex]-(2)\times (1)=-2[/tex]
After second jump, the total covered distance is
[tex]-(2)\times (2)=-4[/tex]
After third jump, the total covered distance is
[tex]-(2)\times (3)=-6[/tex]
After fourth jump, the total covered distance is
[tex]-(2)\times (4)=-8[/tex]
It means the product (-2)(4) is modeled by the given number line.
Therefore the correct option is 2.
Convert 9 feet to inches.
21 inches
27 inches
90 inches
108 inches
Answer:
108
Step-by-step explanation:
1 foot has 12 inches
9x12=108
What math problem equals 18
Answer:
9-0+1-1×2
Step-by-step explanation:
Answer:
10+8, (6÷3)x4, (9-1)+ (5x2)
Step-by-step explanation:
Thats all my brain can think of
PLEASE HELP!! can you solve this problem? you need to fill all 10 squares with the correct number and/or symbols. Below are the options of numbers and/or symbols that can be placed in the grid. And above the grid is the problem!!
Answer:
Wow just wow
Step-by-step explanation:
I have no clue sorry ;-;
what is the answer to a - 5 = -2
The solution to the equation a - 5 = -2 is a = 3. You solve it by adding 5 to both sides, which isolates the variable 'a'.
To solve the equation a - 5 = -2, you need to isolate the variable 'a' on one side of the equation. You can do this by adding 5 to both sides of the equation. Here's the step-by-step process:
Start with the original equation: a - 5 = -2.
Add 5 to both sides: a - 5 + 5 = -2 + 5.
Simplify each side: a = 3.
The answer to the equation is a = 3.
To solve the equation a - 5 = -2, add 5 to both sides which gives us a = 3 as the solution.
The question is asking us to solve the equation a - 5 = -2 for the variable a. To isolate a on one side of the equation, we need to undo the subtraction of 5. We can do this by adding 5 to both sides of the equation:
a - 5 + 5 = -2 + 5
Which simplifies to:
a = 3
Thus, the value of a that solves the equation is 3.
mr.ford select 2/5 of 120 people who tied out for theatrical production
Step-by-step explanation:
2/5 is equal to 4/10, or 40 percent.
Therefore 40 percent of 120 is 120*.4, or 48