Answer:
3 apples to 8 cherries
Step-by-step explanation:
-6(y+15)=3y+6 What value of Y makes the expression true?
Answer:
\(-\frac{32}{3}\) or -10.666666666666 or -10 2/3.
Step-by-step explanation:
The question is asking what Y value makes them equal to each other. Thankfully you know that your primary (and only) goal is to isolate the y value and get it's numerical value.
First let's simplify the equation.
-6y-90=3y+6
Now lets do the PEMDAS operations to isolate Y and get it's numerical value.
-6y-90=3y+6
-6y-90-6=3y+6-6
-6y-96=3y
-96=9y
\(-\frac{32}{3}\) = y
Question 2 of 10
How many solutions does the system of equations below have?
y=3x+4
y+6= 3x
OA. Exactly 1 solution
B. No solution
OC. More than 1 solution
OD. At least 1 solution
SUBMIT
Answer:
B, No solution
Step-by-step explanation:
If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect
In the first and second equation, the slopes are both 3 so they will never intersect.
5:30PM
You run to the store on your way home from school. You want to buy some Doritos. Should you buy
the regular size bag or the party size bag? Calculate the unit price for each size and determine which
one is the better buy.
15 oz. Party Size Doritos $3.98
9.75 oz. Doritos $2.98
The Unit Price is just a Ratio with a denominator of 1. Your textbook has information about ratios on
pgs. 305-307
Answer:
The regular size bag of doritos is a better deal, I believe. Hope this helps!
Step-by-step explanation:
Solve for x: 0.4x+3.8=1.6x+1.2-0.6x
please help me!
-simple Sums
Find an equation that will equal the number:
301
Use these numbers: 2 50 25 8 7 6
To create the equation
you can use the numbers
provided only once, but you
do not need to use all the
numbers.
2 50 25 8 7 6
Calculation zone:
50
300
30h
You can use
division,
subtraction,
multiplication,
addition and
brackets in
your equation -
as many times as
you would like!
las
Your answer:
301
D
9514 1404 393
Answer:
6×50 +8 -7 = 301
(6 -2)(50 +25) +8 -7 = 301
50×7 -25 -8×6/2 = 301
Step-by-step explanation:
We have chosen to use 301 = 300 + 1 a couple of different ways, and 301 = 350 -49. We couldn't see a way to take advantage of the factoring 301 = 43×7.
When a test is ________
If the value of interest falls outside a 95% confidence interval, we will reject the null hypothesis at the a =______ significance level If the value of interest falls outside a 99% confidence interval, we will reject the null hypothesis at the =_____< significance level
When a test is two-sided and one-sided: We will reject the null hypothesis at the = X 0.01 0.050. 10 significance level if the value of interest falls outside a 95% confidence interval. If the value of interest falls outside a 99% confidence interval, the null hypothesis will be rejected at the = 0.010.
What is confidence interval?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used. The confidence interval is the range of values within which you expect your estimate to fall a certain percentage of the time if you repeat your experiment or re-sample the population in the same manner.
Here,
When a test is two-sided and one-sided: If the value of interest falls outside a 95% confidence interval, we will reject the null hypothesis at the = X 0.01 0.050. 10 significance level. The null hypothesis will be rejected at = 0.010 if the value of interest falls outside a 99% confidence interval.
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Answer:
two sided.
.05
.01
Step-by-step explanation:
tan a= 12/15, a lies in quadrant 3, and cos x= -20/29, x lies in quadrant 2. find sin (a+x).
a) 345/377 b) 135/377 c) -152/377 d) 352/377
Answer:
c) -152/377
Step-by-step explanation:
yan po ang tamang sagot ko..
Which function matches the graph below?
What is an equation of the line that passes through the points (2, -7) and (8, -4)?
Answer:
The answer is
\(y = \frac{1}{2} x - 8\)Step-by-step explanation:
To find the equation of the line that passes through two points , first find the slope and then use the formula
y - y1 = m(x - x1)
where m is the slope
(x1 , y1) are any of the points
To find the slope of the line using two points we use the formula
\(m = \frac{y2 - y1}{x2 - x1} \)
Slope of the line using points
(2, -7) and (8, -4) is
\( \frac{ - 4 + 7}{8 - 2} = \frac{3}{6} = \frac{1}{2} \)Now the equation of the line using point (2 , - 7) and slope 1/2 is
\( y + 7 = \frac{1}{2} (x - 2)\)\(y + 7 = \frac{1}{2} x - 1\)\(y = \frac{1}{2} x - 1 - 7\)We have the final answer as
\(y = \frac{1}{2} x - 8\)Hope this helps you
You put $126 in a savings account that earns 3% annual interest compounded monthly. You
do not make any deposits or withdrawals. How much will your investment be worth in 4
years?
Answer:
$142.04
Step-by-step explanation:
The compound interest formula tells you the value will be ...
A = P(1 +r/12)^(12t)
Principal P invested at annual rate r compounded monthly for t years.
__
Using the given values, the formula tells you the investment value will be ...
A = $126(1 +0.03/12)^(12·4) = $126(1.0025^48) ≈ $142.04
Your investment will be worth $142.04 in 4 years.
triangle ABC: A(2,-3), B(-4,5), C(-5,0).
dilate triangle ABC by a scale factor of 4.
PLEADR HELP
The coordinates of the vertices of the new triangle are A'(8,-12), B'(-16,20), C'(-20,0). The area of the new triangle will be 4 times the original triangle.
What is the scale factor?The scale factor is defined as the ratio of the new image's size to the old image's size. The dilation center is a fixed point in the plane. The dilation transformation is defined based on the scale factor and the center of dilation. If the scale factor is greater than one, the image will stretch.
Given that ABC is a triangle. The vertices of the triangle are A(2,-3), B(-4,5), C(-5,0).
The triangle is dilated by a scale factor of 4.
To find the coordinate of the new triangle multiply 4 with x-coordiante and y-coordiante of the vertices of the triangle ABC.
The new coordinate of A is (2×4,-3×4) → A'(8,-12).
The new coordinate of B is (-4×4,5×4) → B'(-16,20).
The new coordinate of C is (-5×4,0×4) → B'(-20,0).
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Can someone help me Solve:
-2√3+√75=
Answer:
\(3\sqrt{3}\)------------------
Simplify in below steps:
\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)The water tank contains 12.3 gallons of water. Mark will fill the tank at a rate of 1.6 gallons per
minute. The lake has 98.6 gallons of water and is being drained at a rate of 0.4 gallons per minute.
How many minutes will it take for the lake and the tank to contain the same amount of water
Answer:
It will take 43.15 minutes for the lake and the tank to contain the same amount of water.
Step-by-step explanation:
Given that:
Water tank contains 12.3 gallons of water.
1.6 gallons per minute are being added by Mark.
Let,
m be the minutes in which water tank is filling.
T(m) = 1.6m + 12.3
The lake has 98.6 gallons of water.
Water is drained at a rate of 0.4 gallons per minute.
L(m) = -0.4m + 98.6
For same amount of water,
T(m) = L(m)
1.6m+12.3 = -0.4m+98.6
1.6m+0.4m = 98.6 -12.3
2.0m = 86.3
Dividing both sides by 2
\(\frac{2.0m}{2}=\frac{86.3}{2}\\m=43.15\)
Hence,
It will take 43.15 minutes for the lake and the tank to contain the same amount of water.
What is the most simplified expression for 4 c squared d + 3 d c minus 2 (d c squared + c d) + 6 c squared d squared?
A. 2 c squared d + d c + 6 c squared d squared
B. 2 c squared d + 5 d c + 6 c squared d squared
C. 3 c squared d + 3 d c + 6 c squared d squared + c d
D. 3 c squared d + 2 d c + 6 c squared d squared minus 2 cd
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A store rents movies. If the rental fee is $4 each, the store knows they can rent 110 movies per week. For each additional $1 increase in the rental fee, the store loses 11 rentals per week. What
rental fee should the store charge for a movie to maximize their revenue?
The store's revenue will be maximized if they charge $___for each movie rental.
Store revenue will be maximised, if they charge 7 dollars for each movie rental.
What is revenue?The entire amount of money received by an organisation's operations over a predetermined period of time is the basic definition of revenue.
A company's revenue is its total revenue before any expenses are subtracted. According to the definition, revenue is the total sum of money obtained through conducting commercial activities like sales.
Let store charge x $ for each movie.
No.of rented movies per weak = 108-9x(x-z)
Total revenue = x*[108-9(x-2)]
= x*[108-9x+18]
= x*[126-9x]
= 126x-9x^2
Total revenue will be maximised when dT/dx = 0
dT/dx = 126-9*2x
= 126-18x = 0
18x = 126
x = 7$
Store revenue will be maximised, if they charge 7 dollars for each movie rental.
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PLEASE HELP ME......URGENT
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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A rectangle has a length of 15 centimeters and a width of 7 centimeters. What is the area of the rectangle?
length= 15cm
width= 7cm
to find:area of the rectangle.
solution:area of rectangle= length × width
a= l × w
a= 15 × 7
= 105 cm^2
Answer:
105 cm²
Step-by-step explanation:
The formula to find the area of a rectangle is :
Area = length × width
Given that,
length ⇒ 15 cm
width ⇒ 7 cm
Let us solve it now.
Area = length × width
Area = 15 × 7
Area = 105 cm²
During the summer, Reba works on her uncle's dairy farm. One of Reba's many chores is to load bales of hay onto a wagon and haul them from the field into the barn. She can haul 4 bales of hay in each wagon load.
There is a proportional relationship between the number of wagon loads, x, and the number of bales of hay Reba can haul, y.
Graph this relationship. Select two points to draw a line.
The graph of the proportional relationship y = 4x is given at the end of the question.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
She can haul 4 bales of hay in each wagon load, hence the constant is k = 4, and the function is given by:
y = 4x.
The graph is given at the end of the answer, containing points A(1,4) and B(2,8), which means that:
In one load, she can haul four bales.In two loads, she can haul eight bales.More can be learned about proportional relationships at https://brainly.com/question/10424180
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Graham has 1/3 of 3/4 dollar, and Frank has 3/5 of 1/2 dollar. Who has more money
Here cuz:
Frank got more cuz you see Graham has 1/3 and 3/4 and frank got 3/5 and 1/2 so he got more.
Hope This Helps Cuz!
SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
Total surface area if 5.5in 4.5in and 3 in
Answer:
109.5in squared
Step-by-step explanation:
Use formula b x h to solve each rectangular side, after wards add the values up.
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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Susan plans to attend college in 3 years. She will need $ 17,400 for the first-year cost. Her uncle gave her a special gift of $12,000 to use toward the cost. How much must Susan save each month to have enough for the first-year cost?
Answer:
$150 per month
Step-by-step explanation:
Susan plans to attend college in 3 years. She will need $ 17,400 for the first-year cost. Her uncle gave her a special gift of $12,000 to use toward the cost. How much must Susan save each month to have enough for the first-year cost?
17,400 - 12,000 = $5,400 Susan needs to pay in 3 years.
3 years = 36 months
$5,400/36 = $150 per month
To draw a graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of ___, a second point by going over 3 and up ___, and then draw a line through the points
For drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
For this case, the equation given to us is:
\(y = \dfrac{3}{4}x + 7\)
Any equation of the form \(y = mx + c\) where m and c are constants and x and y are variables is the equation of a straight line.
For a straight line to be characterized, only two points are sufficient.
For x = 0, the y-coordinate would be such that it would satisfy the equation \(y = \dfrac{3}{4}x + 7\)
Putting x = 0, we get:
\(y = \dfrac{3}{4} \times 0 + 7 = 7\)
Thus, y-coordinate of the point on this line whose x-coordinate is 0 is 7. Thus, (0,7) is one of the point's coordinate on the considered line.
Putting x = 3, we get:
\(y = \dfrac{3}{4} \times 3 + 7 = 9.25\)
Thus, y-coordinate of the point on this line whose x-coordinate is 0 is 9.25 . Thus, (0,9.25) is another of the point's coordinate on the considered line.
Thus, for drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.
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A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
A company has borrowed $50000 at 10% compounded quarterly. The debt is amortized by equal payment each quarter ove 15 years. Find the quarterly payments and how much interest will be paid?
7500000 is interest will pay quarterly .
What do compound and simple interest mean?
Simple Interest is the amount returned for using the borrowed funds over a predetermined amount of time. When the total principal amount surpasses the payment due date and the interest rate over a certain period of time, this is known as compound interest. S.I. = (P, T, and R) x 100 is the formula.p = $50000
r = 10%
t = 15 years
interest = 50000 * 10 * 15 /100
= 7500000
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Please look at the photo. Thank you.
a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².
b) The side length that gives the maximum area that the playground can have is x = 30 m.
c) The maximum area that the playground can have is 900 m².
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths, we have:
120 = 2(x + W)
60 = x + W
W = 60 - x
Therefore, the area of the rectangular playground (in terms of x) is given by this function;
A = LW
A(x) = x(60 - x)
A(x) = 60x - x²
Part b.
For the side length, we would take the first derivative of the area:
A(x) = 60x - x²
A'(x) = dA/dx
A'(x) = 60 - 2x
60 - 2x = 0
x = 60/2
x = 30 m
Part c.
W = 60 - x
W = 60 - 30
W = 30 m.
Therefore, the maximum area is given by;
A = 30 × 30
A = 900 m².
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PLEASE ANSWER QUICKLY
What is the correct definition for sec 0? A. sec 0 = cos-1 0 B. sec 0 = sin-1 0 C. sec 0 = 1/sin 0 D. sec 0 = 1/cos 0 E. sec 0 = 1/tan 0
sec(theta) = 1/cos(theta)
I believe that is your option D
Show
that (2+√3)(2-√3)(5+root2)
(5-root2) is rational number.
Answer:
(2+3)(2−3)(5+2)(5−2)=>(22−(3)2)(52−(22))=>(4−3)(25−2)=>(1)(23)=>23
Length of tangent line - geometry please help
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
PC * PA = PB^2
(PA+AC) * PA = PB^2
(4+32) * 4 = PB^2
36*4 = PB^2
144 = PB^2
Taking the square root of each side
sqrt(144) = sqrt(PB^2)
12= PB
Answer:
a
Step-by-step explanation:
Given a tangent and a secant to a circle from an external point, then
The square of the tangent is equal to the product of the external part and the whole of the secant , that is
PB² = PA × PC = 4(4 + 32) = 4 × 36 = 144 ( take square root of both sides )
PB = \(\sqrt{144}\) = 12 → a