Step-by-step explanation:
1. the table on the left is a function, with the formula : y = x²
2. the table on the right is also a function, indicated by the values of the input are different each others
Jenny completed four-fifths of her summer reading assignment. Her classmate Antonio completed seven-eighths of his assignment, and classmate Jerry completed three-fourths of his assignment. Which student read the least? Which student read the most? Which student fell in the middle? (Show all work.)
Answer:
Jerry, Antonio, Jenny
Step-by-step explanation:
To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there
First, we can represent these as fractions:
Jenny:
four-fifths = 4/5
Antonio:
seven-eighths = 7/8
Jerry:
three-fourths = 3/4
Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3
4:
4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48
8:
8, 16, 24, 32, 40, 48, 56, 64
5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
One number that is in common is 40.
Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.
4:
40/4 = 10
8:
40/8 = 5
5:
40/5 = 8
Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.
3/4 * 10/10 = 30/40
7/8 * 5/5 = 35/40
4/5 * 8/8 = 32/40
We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle
7 - 3x = 2x + 7 – 5x
Step by step
Answer:
0
Step-by-step explanation:
7-7=2x-5x+3x
0=2x-5x+3x
Evaluate the exprssion when a= -5
a2+6a-9
Answer:
-49
Step-by-step explanation:
Substitute the a for -5
2(-5)+6(-5)-9
Multiply:
-10+-30-9
Add:
-40-9
Subtract (Add negatives):
-49
Hi there!
»»————- ★ ————-««
I believe your answer is:
-14
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]
⸻⸻⸻⸻
[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A 260-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
The short piece is inches long.
A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.
Find the distance between A and B, AB,
[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]
Next, find the distance between B and C, BC,
[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]
The equation is,
[tex]10=2\sqrt{(t-3)^2+1}[/tex]
[tex]25=(t-3)^2+1[/tex]
[tex]t^2-3t+10=25[/tex]
[tex]t^2-3t-15=0[/tex]
Use quadratic formula to get possible values of t,
[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]
[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]
Hope this helps :)
Find the midpoint, M, of AB.
А
M
B
[?]
22
Answer:
M=11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
To find the midpoint ( or middle) we take the average of the endpoints
(A+B)/2 = (0+22)/2 = 22/2 = 11
a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?
Answer:
it will be 736 speed faster than
When solving the given equation, what is the first step?
(a)
Given: x - 3=8
А
Add 3 to both sides
B
Subtract 3 from both sides
C
Multiply -3 to both sides
D
Divide -3 from both sides
(b) What is the solution to the give equation?
Given: 1 - 3 = 8
Answer:
A
Step-by-step explanation:
You are given that x - 3 = 8
It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.
In this case, x has 3 taken away from it. So you have to get x by itself. The way to do that is to add 3. Then the -3 on the left disappears.
x - 3 + 3 = 8+3
x = 11
The answer is A
Answer:
don't know actually but I can elaborate the solution
Step-by-step explanation:
x-3=8
x=8+3
x=11Halo
please help me
Answers with Solution, ok?
The correct answer is letter C. 75. 36m³ :)
Here's the Solution:
V = π r²hV = (3.14) (2m)² (6m)V = (3.14) (4m²) (6m)V = (3.14) (24m³)V = 75.36m³HOPE THIS HELPS. GOODLUCK:)
Fully factorise: 4x2−25
NEED ANSWER ONLY DON'T SHOW STEPS. URGENT!!!
a. (2x+5)(2x−5)
b. (2x−5)(2x−5)
c. (4x+5)(x−5)
d. (3x+20)(x+5)
Answer:
The correct choice is option a. (2x+5)(2x−5)
Answer:
Option a. (2x+5)(2x-5)
Step-by-step explanation:
4x2 - 25
Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:
a2 - b2 = (a + b) • (a − b)
As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:
4x2 - 25 = (2x)2 - 52
Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:
(2x + 5) • (2x − 5)
________________________________
I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.
A number is multiplied by 8, and that product is added to 2. The sum is equal to the product of 2 and 21. Find the number
Answer:
The number is 5
Step-by-step explanation:
A number is multiplied by 8 = 8x
8x + 2
8x + 2 = 42 Subtract 2 from both sides
- 2 -2
8x = 40 Divide by 8
x = 40/8
x = 5
8/6-5/4=
Please help quick
Answer:
1/12
Step-by-step explanation:
When 3 is added to a number, and the result is multiplied by 5, you obtain two times the number
Hi
to solve you must transcrive every word in math terms correctly.
so let's first give a name to our mysterious number. As you know, in math we generally call unknown by letter. " X"
so let's now play the detective.
what do we know on " X" ?
we add 3 to X so we have : X+3
then we multiply by 5. so. ( X+3) *5 .
if we do that we have twice X , so 2X
so ( X+3) * 5 = 2 X
now that we have translatted our data in math term, let's unmask. " X"
( X+3) *5 = 2X
5*X +3*5 = 2X
5X +15 = 2X
5X-2X = -15
3X = -15
X = -15/3
X = -5
So is " -5" is our guy.
let's check it out to be sure .
-5 +3 = -2
-2*5 = -10
-10 is twice -5. so -5 is the correct answer.
Ps : some operation are commonly implied. if you do not. know how I could write some line in the calculus, dont hesitate to ask in comments.
There is no mysteries in math everything is done according to rules and can be explained. So don't hesitate !
Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]
I hope I helped you^_^
Solve for x.
(2x - 5°
(5x + 10)
B
What is the value of (-1/4 - 1/2) ÷ (-4/7)
Answer:
1 5/16
Step-by-step explanation:
(-1/4 - 1/2) ÷ (-4/7)
Parentheses first
Get a common denominator
(-1/4 - 1/2 *2/2)
(-1/4 - 2/4)
-3/4
Replace in the equation
(-3/4 ) ÷ (-4/7)
Copy dot flip
-3/4 * -7/4
21/16
1 5/16
[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]
[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]
When solving secθ=−4.2 for 180°≤θ≤360°, how many possible answers are there?
0
1
2
unable to determine
If m ABC=25 and m CBD= 35 then m ABD=
Answer:
Angle ABD = 60
Step-by-step explanation:
Angle ABD = angle ABC + angle CBD
We are given that angle ABC = 25 and angle CBD = 35
So angle ABD = 25 + 35 = 60
Answer:
60
Step-by-step explanation:
to find the length of the entire angle, you will have to add both seperated sides to find it.
<ABC = 25
<CBD = 35
25 + 35 = 60
So, <ABD = 60
Hope this helped.
Solve for a: 7a = 63
Answer:
a = 9
Step-by-step explanation:
7a = 63
Divide 7 on both sides,
=> 7a/7 = 63/7
=> a = 9
Choose the most convenient method to graph the line y = –3x + 4.
Answer:
Step-by-step explanation:
(5pg)3=125pg. Is wrong or correct
Answer:
125 p^3 g^3
Step-by-step explanation:
(5pg)^3
We know that (ab)^c = a^c * b^c
5^3 p^3 g^3
125 p^3 g^3
The price of a sandwich decreases from $6 to $4. What is the percent decrease in the price of the sandwich?
Answer:
33.33%
Step-by-step explanation:
Decrease in price= Original price -- New price
= $6 - $4
= $2
Percentage decrease= $2÷$6 × 100
= 33.33%
In the Cartesian coordinate system, which coordinate point represents the location of the
origin?
A. (0, 1)
B.(0, 0)
C.(1.O)
D.(1, 1)
Answer:
(0, 0)
Step-by-step explanation:
Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).
the inequality -3n<12 is equivalent to
a. n < 4
b. n < -4
c. n > 4
d. n > -4
e. n > 36
Answer: D. n > -4
Step-by-step explanation:
Given
-3n < 12
Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term
-3n / -3 > 12 / -3
n > -4
Hope this helps!! :)
Please let me know if you have any questions
Hey there! I'm happy to help!
Inequalities are solved like normal equations with a few extra rules.
So, we could simply divide both sides by -3 to get our answer, but n<-4 would actually be incorrect. With inequalities, dividing by a negative number means you have to flip the inequality sign. This is because you turn the other side negative so you need to adjust the inequality sign to match it.
So, our final answer will actually be n>-4.
Have a wonderful day and keep on learning! :D
if(2x-y)=4 then (6x-3y)=?
Answer:
12
Step-by-step explanation:
(2x-y)=4
Multiply the first equation by 3
3*(2x-y)=3*4
6x -3y = 12
I need to make n the subject
hope it's helpful
THANK YOU
A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
It is 9n - 7p + 5q
Step-by-step explanation:
Perimeter formular:
[tex]perimeter = (side + side + side)[/tex]
substitute:
[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]
group like terms together:
[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).
(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
1 standard deviation below the mean = m - d m - d = 0.06 kg - 0.009 kg = 0.051 kg(the standard size is 1 standard deviation below the mean)
less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg(the medium size is between 1 std below the mean and 2 std above the mean)
Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs(iii) Find the position of "Greater than 0.075 kg (large size)":
0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggsCheck: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
Learn more here: https://brainly.com/question/22520030
5x + 4m = 43my + 6 solve for m
9514 1404 393
Answer:
m = (5x -6)/(43y -4)
Step-by-step explanation:
Subtract 4m+6 to separate m-terms from other terms.
5x +4m -(4m +6) = 43my +6 -(4m +6)
5x -6 = 43my -4m
5x -6 = m(43y -4) . . . . factor out m
(5x -6)/(43y -4) = m . . . . divide by the coefficient of m
Add or Subtract: show all work 30 POINTS!!