The answer to your question is D, as 5 is being multiplied by c, and the term product refers to multiplication.
Kelly and Rachel collected 193 pounds of newspaper between them. Kelly collected 35 pounds more than Rachel. How many pounds of newspaper did each girl collect?
Answer:take 193 and subtract 35. you should get 158 then divide 158 bby 2 you should get 79 add 35 to 79 you should get 114. therefore kelly will have 114 and rachel will have 79
Step-by-step explanation:
Answer:
Kelly collected 114 pounds of newspaper. Rachel collected 79 pounds of newspaper.
Step-by-step explanation:
Write an expression for each girl to figure out how many pounds of newspapers they each collected:
(x represents pounds of newspapers) Rachel = x Kelly = x + 35
To solve, combine the two expressions into one equation: 2x + 35 = 193
Then, subtract 35 from both sides of the equation. Make sure you subtract from both sides of the equation to keep it equal: 2x + 35 - 35 = 193 - 35
The equation left is: 2x = 158
Divide both sides by two in order to get the x by itself: 2x ÷ 2 = 158 ÷ 2
The answer will be: x = 79
Then, substitute 79 for x in the first equations:
Rachel = 79 Kelly = 79 + 35
Solve for the final answer: Rachel = 79 Kelly = 114
How do you know that the triangle with side lengths 6, 8, and c is a right triangle?
If c is the longest side, then c must be equal to 10 in order to have a right triangle. This is due to the pythagorean theorem
a^2+b^2 = c^2
6^2+8^2 = c^2
36+64 = c^2
100 = c^2
c^2 = 100
sqrt(c^2) = sqrt(100) ... apply square root to both sides
c = sqrt(100)
c = 10
-----------------
So if we know that c = 10, then the side lengths 6,8,c form a right triangle.
y9/8 divided by y5/8
write the expression in simplified radical form
A triangular flowerbed is being planted inside a circular area of grass. What is the area of the triangular flowerbed? (Use 3.14 for π.)
1,350 ft 2
1,566 ft 2
1,450 ft 2
675 ft 2
Answer:
675 ft 2
Step-by-step explanation:
just did it in a test
30 points !!!! :)) please help thanksss
Answer:
A = 10⁰
Step-by-step explanation:
We have 2.247 and this to represented as [tex]$ 2 \times A + 2 \times B + 4 \times C + 7 \times D $[/tex]
[tex]$ 2.247 = \frac{2247}{1000} $[/tex]
[tex]$ 2.247 = 2 \times 10^0 + 2 \times \frac{1}{10} + 4 \times \frac{1}{10^2} + 7 \times \frac{1}{10^3} $[/tex]
Comparing with the given data, we have:
A = 10⁰
B = [tex]$ \frac{1}{10} $[/tex]
C = [tex]$ \frac{1}{10^2} $[/tex]
D = [tex]$ \frac{1}{10^3} $[/tex]
Hence the answer A = 10⁰.
What’s the standard form of the line that passes through (7,-3) and has a y-intercept of 2?
Answer:
Step-by-step explanation:
(y-y)=m(x-x)
(y--3)=2(x-7)
y+3=2x-14
y+3+14=2x
f(4) if f(x) = 3x - 1
Answer: 11
Step-by-step explanation:
plug in 4 any instance you see "x"
f(x) = 3x - 1
f(4) = 3(4) - 1 = 11
Functions are mappings who map inputs to at max one corresponding outputs. The value of function at x=4 is: [tex]f(4) = 11[/tex]
How to evaluate a given function if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For given case, we have:
[tex]f(x) = 3x - 1[/tex]
Taking x = 4, we get:
[tex]f(4) = 3(4) - 1 = 3 \times 4 - 1 = 12 - 1\\f(4) = 11[/tex]
Thus, The value of function at x=4 is: f(4) = 11
Learn more about evaluating functions here:
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A realtor makes 5% commission on each sale how much commission will the realtor earn for selling a $150,000 house
Answer:
$7,500.00
Step-by-step explanation:
The Realtor commission will be 5% of $150,000.00
(5% * $150,000)/100% = $7,500.00
The realtor makes a 5% commission on a $150,000 house, which equates to a commission of $7,500 by multiplying the sale price by the commission rate (0.05).
To calculate the amount of commission a realtor earns on a house sale, you simply multiply the sale price of the house by the commission rate. In this case, the realtor makes a 5% commission on a $150,000 house sale. We calculate the commission as follows:
First, convert the percentage rate to a decimal: 5% = 0.05.Then, multiply the sale price by this decimal: $150,000 x 0.05.Do the multiplication to find the commission: $150,000 x 0.05 = $7,500.Therefore, the realtor will earn a commission of $7,500 for selling the $150,000 house.
What is a simple way to solve for the sum and difference of 2 cubes? For example, 27+64[tex]x^3[/tex] and 64[tex]m^3[/tex]-1
Answer:
(3 + 4x)(9 - 12x + 16x²) = 0
(4m - 1)(16m² + 4m + 1) = 0
Step-by-step explanation:
Here we have to solve the sum of two cubes which is [tex]27 + 64x^{3}[/tex]
Now, the equation is [tex]27 + 64x^{3} = 0[/tex]
⇒ 3³ + (4x)³ = 0
⇒ (3 + 4x)[3² - 3(4x) + (4x)²] = 0
⇒ (3 + 4x)(9 - 12x + 16x²) = 0
So, (3 + 4x) = 0 or (9 - 12x + 16x²) = 0
Therefore, from the above two relation we can solve for x.
One root will be [tex]- \frac{3}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation.
Again, we have to solve the difference of two cubes which is [tex]64m^{3} - 1[/tex]
Now, the equation is [tex]64m^{3} - 1 = 0[/tex]
⇒ (4m)³ - 1³ = 0
⇒ (4m - 1)[(4m)² + 4m(1) + 1²] = 0
⇒ (4m - 1)(16m² + 4m + 1) = 0
So, (4m - 1) = 0 or (16m² + 4m + 1) = 0
Therefore, from the above two relation we can solve for m.
One root will be [tex] \frac{1}{4}[/tex] and the others we will get by applying Sridhar Acharya Formula, which will give a pair of conjugate imaginary roots of the equation. (Answer)
A basketball player scored 19 times during one game. He scared a total of 28 points, two for each two-point shot and one for each free throw. How many two-point shots did he make? How many free throws?
Answer: 10 free throws made, 9 two-point shots made
Step-by-step explanation:
x=number of free throws
y=number of two-point shots
x+y=19
x+2y=28
solve by elimination
x+2y=28
-(x+y=19)
--------------
y=9
x=10
Answer: 10 free throws made, 9 two-point shots made
Step-by-step explanation:
x=number of free throws
y=number of two-point shots
x+y=19
x+2y=28
solve by elimination
x+2y=28
-(x+y=19)
(Y=9
X=10)
4x+10=x+5+50 What is the answer to this equation
Answer:
x=15
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
4x+10=x+5+50
4x+10=x+55
4x-x+10=55
3x+10=55
3x=55-10
3x=45
x=45/3
x=15
Triangle PQR is reflected over the x axis.What are the coordinates of Q’
Answer:
(8, -2)
Step-by-step explanation:
(8, 2) becomes (8. -2)
Answer:
(8 -2)
Step-by-step explanation:
To start her collection of comic books, Joylin’s uncle gives her a box of comic books and several monthly subscriptions to comic books. the number of comic books in her collection, y, after x months is modeled by the equation shown: y=40+6x. What does the number 40 represent?
In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.
Explanation:In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.
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convert the expression below to exponential form please!
Answer:
The answer is C , 5^(1/3)
Solve for B and C please :)
Part A
h(d) = (-1/5)d^2 + 2d is the same as h(d) = -0.2d^2 + 2d because -1/5 = -0.2
I'll use x in place of d, and y in place of h(d) to get this equivalent equation: y = -0.2x^2 + 2x
Let's find the vertex of y = -0.2x^2 + 2x
Note how y = -0.2x^2 + 2x is in the form y = ax^2+bx+c with
a = -0.2
b = 2
c = 0
So the x coordinate of the vertex is
h = -b/(2a)
h = -2/(2(-0.2))
h = 5
Plug this value into the h(d) function to compute the corresponding y coordinate
h(d) = -0.2d^2 + 2d
h(5) = -0.2(5)^2 + 2(5)
h(5) = 5
Coincidentally, the x and y coordinates of the vertex are both the same. This wont be the case in general.
-----------------
Answers:
The vertex is located at (5,5)
The interpretation is that the highest the dolphin can get is 5 feet off the surface of the water and this occurs 5 horizontal feet away from the starting point. Imagine a parabola that opens downward to have a highest point at the vertex mentioned.
====================================
Part B
From part A above, we found x = 5 to be the x coordinate of the vertex. Simply double this value to get 10 as the answer. The reason why this works is because x = 0 is the starting x intercept, or the starting point which the dolphin jumps from. Also, its because of the hint given how the vertex is between each x intercept.
If the dolphin started from any other point on the x axis, then this trick of "double the result from part A" wouldn't apply.
Part C below shows that x = 0 and x = 10 are the two x intercepts. This helps confirm the proper range.
-----------------
Answer: 10 feet
====================================
Part C
h(d) = y = height of dolphin
we want to find the two x values that make y = 0, which help us figure out when the dolphin jumps out of the water and when it lands back in the water
--------
Plug y = 0 into the equation y = -0.2x^2 + 2x and solve for x
y = -0.2x^2 + 2x
-0.2x^2 + 2x = y
-0.2x^2 + 2x = 0
x(-0.2x + 2) = 0 .... factor out x
x = 0 or -0.2x + 2 = 0 .... zero product property
x = 0 or -0.2x = -2
x = 0 or x = -2/(-0.2)
x = 0 or x = 10
-----------------
Answer:
The two x intercepts are x = 0 and x = 10
This means the parabola crosses the x axis at the locations (0,0) and (10,0).
Help me solve it the system by substitution
Answer:
x=-3, y=5. (-3, 5).
Step-by-step explanation:
y=x+8
x+y=2
----------
x+x+8=2
2x+8=2
2x=2-8
2x=-6
x=-6/2
x=-3
y=-3+8=5
Answer:
(-3,5)
Step-by-step explanation:
Expand and simplify (2x+1) (x-2) (x+3)
Answer:
2x^3 + 3x^2 - 11x - 6.
Step-by-step explanation:
(2x+1) (x-2) (x+3)
= (2x + 1)[x(x + 3)-2(x + 3)]
= (2x + 1)(x^2 + x - 6)
= 2x(x^2 + x - 6) + 1(x^2 + x - 6)
= 2x^3 + 2x^2 - 12x + x^2 + x - 6
= 2x^3 + 3x^2 - 11x - 6.
Good morning,
Answer:
=2x³+3x²-11x-6.Step-by-step explanation:
(2x+1) (x-2) (x+3)
= (2x+1) [(x-2) (x+3)]
= (2x+1) [x²+3x-2x-6]
= (2x+1) [x²+x—6]
= 2x³+2x²-12x+x²+x-6
=2x³+3x²-11x-6.
:)
80% of_
games is 32 games.
Answer:
40 games
Step-by-step explanation:
Here we need to find a number, x, such as 32 is the 80% of x. In this case x is our 100%.
So, if our x number is the correct it must be that the following ratios are equivalent:
100%/80% = x/32 if 32 is the 80% of x
Lets drop the % sign for simplicity:
100/80 = x/32
Now, multiply both sides by 32 to eliminate the 32 on the right side:
(100/80)*32 = (x/32)*32
100*32/80 = x
3200/80 =x
320/8 = x
40 = x
So 32 is the 80% of 40.
32 games is the 80% of 40 games.
Answer: 40
Step-by-step explanation:
Write 4 over 6 in simplest form.
Answer:
2/3
Step-by-step explanation:
Cancel the common factor 2 = 2/3
Can you have a triangle with the sides of 3, 4, 7?
Answer:
Below.
Step-by-step explanation:
No - because the length of any one side must not be equal or greater than the sum of the other 2 sides.
Here 7 = 3 + 4 so they can't form a triangle.
Answer:
no
Step-by-step explanation:
as 3+4 = 7 and the sum of the first 2 sides is supposed to be greater than the third side and 7 is the sum of the first 2 side and the third side is also 7
Ms. Mundo made 40 ounces of tropical punch to pour into glasses. Each glass holds 7 1/2 ounces. What fraction of the last glass is full of punch?
Ms. Mundo can fill 5 full glasses with 40 ounces of tropical punch, with 5 ounces remaining. This remaining amount fills 2/3 of the last glass.
Explanation:Ms. Mundo made 40 ounces of tropical punch to pour into glasses that each holds 7 1/2 ounces. To find out what fraction of the last glass is full of punch, we first need to determine how many full glasses can be poured from the 40 ounces.
Since each glass holds 7.5 ounces (which is the same as 7 1/2 ounces), we divide 40 by 7.5 to find the number of full glasses:
40 ÷ 7.5 = 5 remainder 5
This means that 5 full glasses can be filled, with 5 ounces of punch remaining. Now, to find out what fraction of the last glass the remaining punch fills, we divide the leftover ounces by the capacity of one glass:
5 ÷ 7.5 = 2/3
The fraction of the last glass that is full of punch is 2/3.
please help, i would really appreciate it, thank you
Answer:
A'(-16,4), B'(16,-12), C'(8,12), D'(-4,16)
Step-by-step explanation:
The dilation with a center of dilation at (0,0) and scale factor of [tex]\frac{1}{4}[/tex] has the rule
[tex](x,y)\rightarrow \left(4x,4y\right)[/tex]
Quadrilateral ABCD has vertices at points A(-4,1), B(4,-3), C(2,3) and (-1,4).
Therefore, the image vertices are
[tex]A(-4,1)\rightarrow A'(-16,4);[/tex][tex]B(4,-3)\rightarrow B'(16,-12);[/tex][tex]C(2,3)\rightarrow C'(8,12);[/tex][tex]D(-1,4)\rightarrow D'(-4,16).[/tex]how to do this problem and what's the answer
if a line is perpendicular to another line with slope m, the perpendicular line's slope is always -1/m. Since the slope of the given line is -4, the perpendicular slope would be 1/4 (-1/-4 = 1/4). Our line right now is y = (1/4)x + b. Now substitute the given point in for x and y to solve b. In this case b = -1, so your line would be y = (1/4)x + -1.
I got n= 8/5, -1, but I don't think it's right. I would really appreciate any help with this :)
Answer:
S₈ = 296
Step-by-step explanation:
Given: 2 + 12 + 22 + 32 + .... + (10n - 8) = [tex]$5n^2 - 3n $[/tex]
To prove [tex]$ S_8 $[/tex] is true, substitute [tex]$ n = 8 $[/tex] and compare LHS and RHS
n = 8:
[tex]10n - 8 = 10(8) - 8[/tex]
[tex]$ \implies 72 $[/tex]
[tex]$ \therefore LHS = 2 + 12 + 22 + 32 + 42 + 52 + 62 + 72 $[/tex]
[tex]$ = 296 $[/tex]
Now, Substituting n = 8 in RHS, we get:
[tex]$ 5n^2 - 3n = 5(8)^2 - 3(8) = 5(64) - 24 $[/tex]
[tex]$ = 296 $[/tex]
Therefore, RHS = 296
We see, LHS = RHS
Hence, we can conclude that [tex]$ S_8 $[/tex] is correct.
Mr. Wallace needs to divide his class or 23 students into 9 groups. Each group can have two or three students. If a is the number or groups of 2 and b is the number of groups of 3, what system of equations could Mr. Wallace use to solve this problem ?
Answer:
d) Mr.Wallace can use the following equations:
a + b = 9
2 a + 3 b = 23
Step-by-step explanation:
Here, the total number of students = 23
Number of groups = 9
Each group can have 2 or 3 students.
a is the number of groups of 2.
⇒ Total students in a groups = a x (Number of student in each group)
= a x 2 = 2 a
b is the number of groups of 3
⇒ Total students in b groups = b x (Number of student in each group)
= b x 3 = 3 b
So, according to the question:
Total number of groups formed = 9
⇒ a + b = 9
Total number of students = 23
or Number of students in ( a group + b group ) = 23
⇒ 2 a + 3 b = 23
Hence, Mr.Wallace can use the following equations:
a + b = 9
2 a + 3 b = 23
The time, in seconds, it takes for one complete swing of a pendulum is represented by the equation below, where is the length of the pendulum in meters, and is the acceleration due to gravity (9.81 m/s2).
What is the approximate length of the pendulum if it takes the pendulum 2.9 seconds to complete one full swing? (Use = 3.14)
Answer:
82.28 in
Step-by-step explanation:
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into the ground. After
5
minutes of descending at a rate of
1.8
Meters per minute, he was
13.5
meters below the ground.
Answer: –1.8x – 4.5
Step-by-step explanation:
The guy above me obviously doesn’t know how to do this so here this is the correct answer
Answer:
–1.8x – 4.5
Step-by-step explanation:
A carpet expert belleves that 6% of Persian carpets are counterfeits.
If the expert is right, what is the probability that the proportion of counterfeits in a sample of 484 Persian carpets would differ from the population
proportion by less than 3% ? Round your answer to four decimal places.
*******************
Challenge: Ms. Dortch's class wants to go to on
a camping trip. The cost of the trip is $235. The
class has a bake sale to raise money. They can
make $45 a week for 5 weeks. How much more
money will they need?
The Clever factory
Answer:
$10
Step-by-step explanation:
$45 x 5 = 225
$225 + $10 = $235
Answer:
They will need $10 more dollars
Step-by-step explanation:
So 45 times 5 is 225 so what that means is that for each week they raised 45 dollars multiply that by 5 weeks and they made $224 dollars then subtract that from 235 so (235-225=10)
They will need $10 more dollars
PLEASE HELP!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
in this, the blank is 'y'. I filled the x with -8
)(−8)−(−8−40)=(2)(−8)−(y−8)
Step 1: Simplify both sides of the equation.
(10)(−8)−(−8−40)=(2)(−8)−(y−8)
(10)(−8)+−1(−8−40)=(2)(−8)+−1(y−8)(Distribute the Negative Sign)
(10)(−8)+(−1)(−8)+(−1)(−40)=(2)(−8)+−1y+(−1)(−8)
(10)(−8)+8+40=(2)(−8)+−y+8
−80+8+40=−16+−y+8
(−80+8+40)=(−y)+(−16+8)(Combine Like Terms)
−32=−y+−8
−32=−y−8
Step 2: Flip the equation.
−y−8=−32
Step 3: Add 8 to both sides.
−y−8+8=−32+8
−y=−24
Step 4: Divide both sides by -1.
−y
−1
=
−24
−1
y=24
Answer:
y=24