Answer:4
Step-by-step explanation:
Answer:a) Given :
51 pounds of seed can be planted in = 9 acre field.
Per pound of seed =
We can convert 9/51 in simplest fraction by dividing top and bottom by 3.
We get
Therefore, 3/17 of an acrs can be planted per pound of seed.
b) $10 amount = 16 pounds of sugar.
$1 amount = 16/10 = 1.6 pounds of sugar.
Therefore, 1.6 pounds of sugar she got per dollar.
Step-by-step explanation:
A doll shop advertised all dolls priced at a ⅓ discount. What is the sale price
if the doll originally costs $27?
Answer:
18$ with a 1/3 discount applied
Step-by-step explanation:
27 divided by 3=9
27-9=18
Answer:
$18
Step-by-step explanation:
1/3 = ~33.33% off
33.33% of 27 = 9
27-9 = 18
Hope that helps
1) Apples cost $16 for an 8 pound bag at the local price
club, but the club has a membership fee of $50.
Write and solve an equation to determine how many
pounds (p) of apples you can buy for $58.
Answer:
4 pounds with a membership
29 pounds without
i just added both because i didnt know if you meant 58 extra dollars after bbuying membership or not
Step-by-step explanation:
58 -50(membership fee)=8
16 divide by 8=2
16$=8 pounds
8$=4 pounds
---------------------------------------
without membership you could buy 29 pounds of apples
58 divide by 16=3.625
3.625 x 8=29
Simplify the expression (2 − 5)(3 + 7) − (4 + 3) and please be sure to explain your steps!
Answer: - 37
Step-by-step explanation:
so (2-5)(3+7) - (4+3) start off by the right side really doesn't matter what side you start on, but I added 4+3=7
x= (2-5)(10) - (7) Then add 3+7=10
x= (-3)(10) - (7) 3rd subtract 2-5=-3
x= -30 - 7 Next multiply -3*10=-30 because two numbers together with parenthesis means multiplication.
x= -37 Lastly subtract -30 - 7 and I got -37
find the two positive integers whose product is 24,999,999 and whose positive difference is as small as positive. Explain how you discovered them.
Two positive integers whose product is 24,999,999 are 4999 and 5001
Given
The product of two numbers should be 24,999,999.
The positive difference should be small
There are many ways to obtain those two numbers but an easiest way would be taking the square root of the given number and making decision by trial and error.
This may take few iterations but this is the optimal way to solve.
Square root of 24,999,999 is 4999.99
Hence try multiplying a number less than and a number equal to 4999.99.
Eventually we will reach to a conclusion 4999 x 5001 whose product is 24,999,999.
The difference of the numbers is 5001 - 4999 = 2
Hence the positive difference is small.
Hence the two numbers are 4999, 5001.
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Write an expression for the perimeter in terms of x. 2x and x+3
The perimeter of rectangle with the given dimensions is 6x+6.
Given that the dimensions of rectangle are 2x and x+3.
We need to find the perimeter of the given rectangle.
What is the perimeter of a rectangle?The overall length of the outline determines a shape's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Rectangle perimeter is calculated using the formula perimeter of a rectangle = 2(l + w), where l is the rectangle's length and w is its width.
We know that, the perimeter of rectangle = 2(Length + Width)
Now, perimeter
=2(2x+x+3)
=2(3x+3) (Add like terms)
Using distributive property multiply 2 to 3x and 2 to 3
We get 6x+6
Therefore, the perimeter of rectangle with the given dimensions is 6x+6.
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Simplify the following expression.
4√72
O A.
6√/24
OB.
144√6
O c.
24√6
O D. 24√2
Answer:
A = 34
B = 29.4
C = 58.8
D = 34
My question is below but I only have 1/2 does anyone know how to get the last mark for 100%
Show that 155 can be expressed as the sum of a power of 2 and a cube number.
128 = 2^7 is a power of 2
27 = 3^3 is a perfect cube
=======================================================
Explanation:
This is something you'd find through trial and error.
The powers of 2 are
2, 4, 8, 16, 32, 64, 128, 256, ...
We double each value to get the next one.
The largest power of 2 that is smaller than 155 is 128
155-128 = 27 which is a cube number since x^3 = 3^3 = 27 as you've shown in the screenshot.
If the result of 155-128 wasn't a perfect cube number, then you'd have to try the next largest power of 2 (which is 64) and work your way down the list.
----------------------
Or you could work with the list of perfect cubes
1, 8, 27, 64, 125, 216, ...
Each value is of the form x^3 where x is a whole number.
Let's pick the largest perfect cube that is under 155, and subtract it
155-125 = 30 which isn't a power of 2 (refer to the list above)
Then try 155-64 = 91 which isn't a power of 2 either
Keep moving down the list until reaching 155-27 = 128 which is a power of 2 since 2^7 = 128
You need a 30% alcohol solution. On hand, you have a 75 mL of a 10% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?
60 ml of the 55% solution is required to get the desired solution.
A unique kind of homogenous mixture made up of two or more substances is called a solution.
A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture. Polarity effects of chemicals are engaged in the mixing of a solution at a scale that leads to interactions that are very specific to solvation. When the solvent makes up a significant large portion of the combination, as is frequently the case, the solution typically or normally has the condition of the solvent. The concentration of a solution, which measures how much solute is present in a given volume of solution or solvent, is one crucial parameter.Let x ml of 55% solution is taken.
therefore alcohol = 0.55x ml
water = 0.45x ml
Now it is added to 10% 75 ml solution.
Alcohol = 10% of 75 = 7.5ml
Water = 67.5 ml
New mixture = 75 + x
Alcohol = 30% of (75+x) = 22.5 + 0.3x
Therefore 22.5 + 0.3x = 7.5 + 0.55x
or, x = 60 ml
Therefore 60 ml of the 55% solution is required.
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10. Dan paid 20% down on 8 new car that cost
$16,584.00. He will pay the balance in
24 equal monthly installments.
He will pay S Drop-cown each month.
A. 1,105.60
B. 667.18
C. 552.80
D. 132.20
Answer:
552.8
Step-by-step explanation:
16584/8=2073
2073*0.8=1658.4
1658.4*8=13267.2
13267.2/24=552.8
Find the value of c that makes t^2 - 22t+ c a perfect square trinomial.
Write the expression as the square of a binomial.
The expression is
The expression is a perfect square trinomial if and only if c = 121.
How to get the value of c?
A perfect square trinomial is written as:
(a + b)^2 = a^2 + b^2 + 2ab
In this case, we have:
t^2 - 22t + c
We can rewrite this as:
t^2 - 2*11*t + c
Then we have:
a = t
b = -11
And we will have that:
c = b^2 = (-11)^2 = 121
Then we have:
t^2 - 2*11*t + 121
Which is a perfect square trinomial:
(t - 11)^2 = t^2 - 22t + 121
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SOMEONE GO AND ANSWER MY QUESTIONS I ASKED 9 QUESTIONS AND THER SUPER EASY AND ITS MATH IM DOING MY HOMEWORK AND I NEED HELP MY MATH QUESTIONS ARE TOO EASY I PROMISE U ALL 6 QUESTIONS ARE SO SO SO SO EASY IF U ANSWER THEM ILLL MARK U AS BRAINLIST AND RATE U 5 STARTS ALL AND GIVE U A THANK YOU PLS IF YOU ANSWER 100 6 QUESTIONS BUT IF U DONT I WONT MARK U AS BRAINLIST PLS AND ALL QUESTIONS ARE EASY I GO TO K12 TRUST ME??!?!?!?!??!?!?!?!?!???!??!?!??!?!??
CMON I KNOW U WANT ME TO MAKR U BRAINLIST AND RATE U 5 STARTS AND GIVE U A THANK YOU?!? BUT U GOTTA ANSWER ALL SIX QUESTIONS I ASKED GO TO MY PROFILE AND SEE FOR URSELF
Answer:
I answered one of them so yeah
HELP!!! PLEASE!! I HAVE 10 MINUTES TO ANSWER THIS! I WILL GIVE 40 POINTS
Answer:
option number 3
Step-by-step explanation:
day 3 = 1000 sales
day 6 = 2000 sales
day 9 = 3000 sales
Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points) y = (x-10)2+8 Shift the graph of y = x2 left 10 units and then down 8 units. Shift the graph of y = x2 up 10 units and then right 8 units. Shift the graph of y = x2 left 10 units and then up 8 units. Shift the graph of y = x2 right 10 units and then up 8 units.
Move the y = x2 graph 10 units to the right, then 8 units up.
There are y= x²——————> y = (x-10)²+8
The fact that
A point (x,y) in f(x) shifts up by d as a result of f(x)+d, a
and
f(x-e) ----> a point (x, y) in f(x) becomes a——————-> (x+e, y)——> shift right by in this issue
d=8
e=10
Therefore,
Shift the y = x2 graph.
8 up, 10 to the right
The law is
(x,y)———-> (x+10,y+8)
The vertex in the equation y=x2--------- (0,0)
The vertex in the equation y = (x-10)2+8 (10,8)
so
(10,8)------> (0,0)----------> (x+10,y+8)———> (10,8)------> (0+10,0+8)
As a result, shift the y = x2 graph 8 units up and then 10 units to the right.
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Ethan and Adrian are reading the same book. At the beginning of the month, Ethan was on page 18 and Adrian was on page 45. Ethan will read 12 pages per day and Adrian will read 9 pages per day. Let E represent the page of the book that Ethan is on at the end of t days into the month, and let A represent the page of the book that Adrian is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Ethan or Adrian is farther along in the book after 4 days.
The equations are e = 18+12t and a = 45+9t
Adrian will be father along in the book after 4 days. She will be 15 pages ahead of Ethan
Ethan's page number at the beginning of the month = 18
Adrian's page number at the beginning of the month = 45
Pages read by Ethan each day = 12 pages
Pages read by Adrian each day = 9 pages
Let e represent the page of the book that Ethan is on at the end of t days into the month. Let a represent the page of the book that Adrian is on at the end of t days into the month.
Formulating the equation we get the following:
e = 18 + 12t
a = 45 + 9t
Finding the page number of both Ethan and Adrian after 4 days by substituting the values in the equations we get:
e = 18+12(4)
e = 66
a = 45 + 9(4)
a = 81
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Homework #5
Question 9 of 12
AMORTIZATION Car loans are often spread into multiple regular payments over time. This process is called amortization. Each payment
reduces the remaining principal, and the interest accrued for the next payment is based on the reduced principal. The monthly payment is
fixed; so, with each subsequent payment, an increasing portion goes toward principal, and a decreasing portion goes toward interest. Lori
takes out a car loan of $15,000 for 3 years, with a 3% interest rate. When the loan is amortized into monthly payments, the total interest paid by
the end of the loan term will be $704.
Calculate the simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years.
$15
The simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years is $ 1,350.
It is given in the question that:-
Principal = $15,000
Time period = 3 years
Interest rate = 3 %
Total interest paid by Lori, if the loan was amortized = $ 704.
We have to find the simple interest Lori would pay if the loan was not amortized and the entire loan was paid at the end of 3 years.
We know that,
Simple interest = (Principal*Rate*Time)/100
Hence,
Simple interest = (15000*3*3)/100 = $ 1350.
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Which ordered pair would form a proportional relationship with the point graphed below?
-60-40-20 20 40 60 80 ×
x
*
O (-10, 30)
O (30, -15)
O (-30, 10)
10.0
40
30
20
10
20
30-
40-
(60,-20)
Answer: (-30, 10)
Step-by-step explanation:
A proportional relationship is of the form y=kx for some constant k.
From the point (60, -20), we know that k = -1/3.
So, we are looking for a point where the y coordinate is -1/3 of the x coordinate. This is satisfied by option 3.
Dean is on in his car and was going 10 m/s but sped up to 100 m/s in 5 seconds. Find his acceleration
Answer:
18 m/s²
Step-by-step explanation:
You want Dean's acceleration when his speed changes from 10 m/s to 100 m/s in 5 seconds.
AccelerationAcceleration is the rate of change of velocity, the change in velocity divided by the corresponding change in time:
a = ∆v/∆t
a = (100 m/s -10 m/s)/(5 s) = (90 m/s)/(5 s) = 18 m/s²
Dean's acceleration is 18 m/s².
__
Additional comment
Both velocity and acceleration are vector quantities. They have both magnitude and direction.
We assume the given speeds are in the same direction, so the direction of the velocity vector does not change. The acceleration is in that same direction.
how do you know if the mapping is a function
Answer:
Suppose every object in the domain has only one image in the codomain, then the mapping is a function. Otherwise, it is not a functions
Looking at the given mapping:
-2 is mapped to both 1 and 3
0 is mapped to -3
1 is mapped to 4
3 is mapped to 1
Because -2 has more than one image, it disqualifies the mapping from being a function.
1 What is the domain of the linear function
graphed below?
Answer:
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function - so all possible x values in some f(x) functions.
From the graph, you can see that the values on the x-axis below the graph are in the range -4 (exclusive) and 2 (inclusive) that's why the range is
-4 < x <=2, or simply (-4,2>
A store sells 5 T-shirts for $48.60. What is the unit cost per T-shirt? A. $9.72 B. $8.10 C. $43.60 D. $0.10
Answer:$9.72
Step-by-step explanation: 48.60 DIVIDED BY 5 EQUALS 9.72
GIVE ME BRAINLEST PLSS
Arrange nine dots in such a way that
you have 8 rows with 3 dots in
each row.
Answer:
...
...
...
...
...
...
...
...
In the figure below, PQ = 18 and PR = 31. Find QR.POROR =X
Looking at the diagram, PQ = 18 and PR = 31
We can see that
PQ + QR = PR
Therefore,
18 + QR = 31
QR = 31 - 18
QR = 13
Using completing the square to solve
x^2-5x+3=0. Round to the nearest tenth as needed.
Maple has 4 identical loaves of bread that weigh a total of 6.6 pounds. How much does 1 loaf of bread weigh?
Answer:
1.65
Step-by-step explanation:
Divide 6.6 by 4
Fully factorise x² + 7x+6
just find the roots and substitute
a(x - "first root") (x - "second root")
Consider the line y = - - X+4.4.***4.Find the equation of the line that is perpendicular to this line and passes through the point (-9, 6).Find the equation of the line that is parallel to this line and passes through the point (-9, 6).Note that the ALEKS graphing calculator may be helpful in checking your answer.Equation of perpendicular line: 0-Equation of parallel line:X0P
ANSWER:
[tex]\begin{gathered} \text{perpendicular} \\ y=\frac{4}{3}x+18 \\ \text{parallel} \\ y=-\frac{3}{4}x-\frac{3}{4} \end{gathered}[/tex]STEP-BY-STEP EXPLANATION:
We have that the equation of a line in its slope and y-intercept form is the following:
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]Now, when two equations are perpendicular, the slope of both are opposite, that is, the product between them is equal to -1, like this:
[tex]\begin{gathered} m_1\cdot m_2=-1 \\ -\frac{3}{4}\cdot m_2=-1 \\ m_2=\frac{4}{3} \end{gathered}[/tex]We replace the values of the point (-9, 6) and the slope to calculate the value of the y -intercept:
[tex]\begin{gathered} 6=-9\cdot\frac{4}{3}+b \\ b=12+6 \\ b=18 \end{gathered}[/tex]Therefore, the perpendicular equation that also passes through the point (-9,6) is:
[tex]y=\frac{4}{3}x+18[/tex]Now, when two lines are parallel, the slope is the same, therefore we calculate directly that it passes through the point (-9, 6)
[tex]\begin{gathered} 6=-9\cdot-\frac{3}{4}+b_{} \\ b=6+9\cdot-\frac{3}{4} \\ b=-\frac{3}{4} \end{gathered}[/tex]therefore, the equation of the line that is parallel to this line and passes through the point (-9, 6) is:
[tex]y=-\frac{3}{4}x-\frac{3}{4}[/tex]standard form: all exponets are ___________numbers & it is written in __________ order -5x^7+4x^2+3x-2
I need help with these. Please explain the work.
a newsletter publisher believes that less than 68h% of their readers own a rolls royce. for marketing purposes, a potential advertiser wants to confirm this claim. after performing a test at the 0.050.05 level of significance, the advertiser failed to reject the null hypothesis. what is the conclusion regarding the publisher's claim?
A potential advertiser for marketing purpose, after performing a test at 0.05 level of significance fails to reject the null hypothesis leads to the conclusion that there is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 68%.
Hypothesis testing refers to a statistical inference approach used to determine if the available data sufficiently support a particular hypothesis. Hypothesis testing enable researchers to make probabilistic statements about population parameters. In the given case, the null and alternative hypothesis regarding the publisher’s claim state:
The null hypothesis stated that the 68% or more of the readers own a Rolls Royce. H0: p ≥ 0.68
The alternate hypothesis states that less than 68% of the readers own a Rolls Royce. H1: p < 0.68
As the advertiser failed to reject the null hypothesis, it was accepted and thus, 68% or more of the readers own a Rolls Royce. It is concluded that there is not sufficient evidence at the 0.05 level of significance to say that the percentage is less than 68%.
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Rewrite the equation in the form (x − p)² = q.
x^2 + 5x + 9/4=0
Answer:
Step-by-step explanation:
STEP
1
:
9
Simplify —
4
Equation at the end of step
1
:
9
((x2) - 5x) - (0 - —) = 0
4
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 4 as the denominator :
x2 - 5x (x2 - 5x) • 4
x2 - 5x = ——————— = —————————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
x2 - 5x = x • (x - 5)
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (x-5) • 4 - (-9) 4x2 - 20x + 9
———————————————————— = —————————————
4 4
Trying to factor by splitting the middle term
3.3 Factoring 4x2 - 20x + 9
The first term is, 4x2 its coefficient is 4 .
The middle term is, -20x its coefficient is -20 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -20 .
-36 + -1 = -37
-18 + -2 = -20 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and -2
4x2 - 18x - 2x - 9
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (2x-9)
Add up the last 2 terms, pulling out common factors :
1 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(2x-1) • (2x-9)
Which is the desired factorization
Equation at the end of step
3
:
(2x - 9) • (2x - 1)
——————————————————— = 0
4
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
(2x-9)•(2x-1)
————————————— • 4 = 0 • 4
4
Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
(2x-9) • (2x-1) = 0
Theory - Roots of a product :
4.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
4.3 Solve : 2x-9 = 0
Add 9 to both sides of the equation :
2x = 9
Divide both sides of the equation by 2:
x = 9/2 = 4.500
Solving a Single Variable Equation:
4.4 Solve : 2x-1 = 0
Add 1 to both sides of the equation :
2x = 1
Divide both sides of the equation by 2:
x = 1/2 = 0.500
Supplement : Solving Quadratic Equation Directly
Solving 4x2-20x+9 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = 4x2-20x+9
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 4 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.5000
Plugging into the parabola formula 2.5000 for x we can calculate the y -coordinate :
y = 4.0 * 2.50 * 2.50 - 20.0 * 2.50 + 9.0
or y = -16.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 4x2-20x+9
Axis of Symmetry (dashed) {x}={ 2.50}
Vertex at {x,y} = { 2.50,-16.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 0.50, 0.00}
Root 2 at {x,y} = { 4.50, 0.00}