Answer:
the equation of the line is y = -7x - 2.
Step-by-step explanation:
To find the equation of the line with slope -7 that passes through the point (4, -30), we can use the point-slope form of a line.
The point-slope form of a line is:
y - y1 = m(x - x1)
where:
(x1, y1) is a point on the line
m is the slope of the line
Substituting the given values, we get:
y - (-30) = (-7)(x - 4)
Expanding the right side, we get:
y + 30 = -7x + 28
Combining like terms, we get:
y = -7x - 2
So the equation of the line is y = -7x - 2.
On a certain hot summer's day, 311 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $525 How many children and how many adults swam at the public pool that day?
The number of children that swam in the public pool that day is 194
and the number of adult that swam in the public pool that day is 117
Let x represent the number of children that swam in the public pool that day.
Let y represent the number of adult that swam in the public pool that day.
On a certain hot summer day, 311 people used the public swimming pool. This means that
x + y = 311
The daily prices are 1.50 for children and 2.00 for adults. The receipts for admission totaled to $525. This means that
$1.50x + $2.00y = $525 - - - - - - - -1
Substituting x = 311 - y into equation 1, it becomes
1.50(311 - y) + 2.00y = 525
466.5 - 1.50y + 2.00y = 525
0.5 y = 58.5
y = 117
Substituting y = 117 into x = 311 - y, it becomes
x = 311 - 117
x = 194
Hence , the number of children that swam in the public pool that day is 194 and the number of adult that swam in the public pool that day is 117.
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determine whether 3y - 7 = 2x -7 represents direct variation or not. If it does, find the
constant of variation.
Answer:
Yes, it represents direct variation.
The constant of variation is 2/3.
Step-by-step explanation:
Rearrange the equation to put it into y = kx form, which is the direct variation equation
3y - 7 = 2x - 7
Add 7 to both sides:
3y - 7 = 2x - 7
3y = 2x
Divide each side by 3:
y = 2/3x
So, the equation is y = 2/3x, which represents direct variation because it is in the form y = kx.
In y = kx, k is the constant of variation. Since the equation is y = 2/3x, k = 2/3.
So, the constant of variation is 2/3.
Why do 3 points make a plane?
In mathematics, a plane is a two-dimensional surface that can be enlarged indefinitely. In order to make a plane we need at least 3 points.
Why do 3 points make a plane?In order to make a plane we need at least 3 points. Let A, B and C are three points which can be defined by two particular vector AB and AC.
As the two vectors is located on the plane, we can use their cross product to define a normal vector on the plane.
As we see a triangle which is a two-dimensional geometric figure that is developed based on 3 points. Triangle is the smallest polygon. The other polygon needs more point for creation.
Therefore, it is proved that minimum three points is mandatory for plane formation.
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A farmer has a field in the shape of a semicircle of diameter 50 m. The farmer asks Jim to build a fence around the edge of the field. Jim tells him how much it will cost. Total cost = £29. 86 per metre of fence plus £180 for each day's work Jim takes three days to build the fence. Work out the total cost. Show your working out
The total cost is £2033.
The field is in the shape of a semicircle, so the radius of the field is half the diameter or 50 m / 2 = 25 m.
The circumference of a circle is given by 2 * pi * r, where r is the radius of the circle.
So the circumference of the semicircle is 2 * pi * 25 = 50 * pi m.
The cost of the fence is £29.86 per meter. So the cost of the fence is 50 * pi * £29.86 = £1493.
Jim takes three days to build the fence and charges £180 per day.
So the cost for the labour is 3 * £180 = £540.
Adding the cost of the labour to the cost of the fence: £1493 + £540 = £2033
So the total cost is £2033.
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Use the quadratic formula to find the solutions to the equation y = 5x² - 9x + 3.
What are the zeros of the equation?
On solving the provided question, we can say that the quadratic equation is y = 5x² - 9x + 3 this quadratic equation can not factorized further
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
the quadratic equation is
y = 5x² - 9x + 3
this quadratic equation can not factorized further
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a circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle
3pi inches
2pi inches
pi inches
6pi inches
Answer:
Option B. 2π inches
Step-by-step explanation:
From the question given above, the following data were obtained:
Radius (r) = 6 in
Centre angle (θ) = 60 °
Length of arc (L) =?
The length of arc can be obtained as follow:
L = 2πr × (θ/360°)
L = 2 × 6 × π × (60/360)
L = 12π × 1/6
L = 2π in
Thus, the length of the arc is 2π in.
The perimeter of the shape below is 338 square feet. What is the length of side F?
Answer:
the answer is 108 the last choice D
Round 158.8 nearest 10th
Answer:
159 I think
Step-by-step explanation:
In ΔNOP, n = 89 cm, p = 36 cm and ∠P=147°. Find all possible values of ∠N, to the nearest 10th of a degree.
Answer: No Possible Triangles
Step-by-step explanation: DeltaMath
Just hit the enter button, don’t type anything in the box or else it will mark it wrong.
PLEASE HELP ME
6.
Dom is selling pizza at Hoopfest to help him raise money to go on a road trip. He wants each topping to increase the total price at a rate of $1.25. When someone ordered a 3-topping pizza the price was $16.25. Write an equation to represent this data.
Answer : if each topping is 1.25 then multiply that by 3 because there's 3 toppings on the pizza and if the total was 16.25 the original price of the pizza is 12.5. I hope this was the answer you were looking for a good luck :)
Step-by-step explanation:
help Rn help please help
Answer: b is right angel triangle 90 degrees
b - c is straight line that adds up to 180 degrees
9 is the height for sin, cos and sine
Step-by-step explanation:
What are the real roots of the equation x2 3 x1 3 − 2?
The real roots of the equation x^(2/3) + x^(1/3) - 2 = 0 are 1 and -8.
The equation x^(2/3) + x^(1/3) - 2 = 0 does not have any real roots. Since the exponents are not integers, x^(2/3) and x^(1/3) are not defined for negative values of x, and so the equation has no solutions for real values of x.
But,
Let y = x^(1/3)
The equation x^(2/3) + x^(1/3) - 2 = 0 will become y² + y - 2 = 0.
Solving for the roots of this equation,
y² + y - 2 = 0
(y + 2)(y - 1) = 0
y = -2 ; y = 1
Substitute the value of y and solve for x.
y = x^(1/3)
-2 = x^(1/3) ; 1 = x^(1/3)
x = -8 ; x = 1
Therefore, the real roots of the equation is 1 and -8.
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Drag each label to the correct location on the net. Each label can be used more than once, but not all labels will be used.
Identify the dimensions of the net that will give a surface area of 48 sq cm. The area of each part of the net is shown in the figure.
As a result, the response to the query that the area provided With interiors of 32 and 44 square feet, respectively, the future complex will consist of a 60.1-foot circular.
Describe the Area.Finding out how big a rectangle or rectangle is is the simplest (and most used) method. Divide the width by the altitude to find the area of a rectangle. Since all sides of a square are equal in length, determining the area of unit only requires knowledge of the size of one of its sides.
Here,
Here is the formula for area:
The area formula is length times width.
=> 8 × 4
= >32ft²
Following space will be on the trapezoid:
=>(14 + 18)/2 × 4
=> 44ft²
By multiplying the measurement by two, the perimeter will indeed be determined. Knowing this,
= 2(8 + 4) + (14 + 8 + 4 + 5.6 + 4.5)
= 24 + 36.1
= 60.1 ft
In light of this, the answer to the area-related question is
For the specified polygon, 60.1 square feet.
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yep again.....not du.mb just lazy...
Answer:
nah frl
Step-by-step explanation:
help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answer:
5 yds
Step-by-step explanation:
Answer:
10 because 11*5*10=550
Step-by-step explanation:
mrk me brainliest plzzzzzz
Solve each system by elimination.
1) –3x – 6y= -3
5x + 5y=0
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer: x=−1 and y=1.
Step-by-step explanation: −3x−6y=−3;5x+5y=0
5(−3x−6y=−3)
6(5x+5y=0)
−15x−30y=−15
30x+30y=0
15x /15 = −15 /15
x=−1
−3x−6y=−3
(−3)(−1)−6y=−3
−6y+3+−3=−3+−3
−6y /−6 = −6 /−6
y=1
x=−1 and y=1
Is the first side “WX and ZX” or “WX and XZ?”
This is sss congruence
Answer:
WX ZX
Step-by-step explanation:
If you fold it at the line of symmitry then w and x are at the same point
Please help brainly!
47. Ann is stocking up on boxes of cereal. If they are on sale for $2.25 each and she has a $2 coupon, and
she wishes to spend a maximum of $20 on cereal, how many boxes can she buy?
Answer:
8 boxes
Step-by-step explanation:
20 + 2 = 22
22 / 2.25 =
8.8
Help me please ???!!!!!!!!!!!
A teacher wants to select one student at random from a group of 6. Which selection methods are fair? Select all that apply.
A. Roll a standard number cube.
B. Use a calculator to generate a random decimal between 1 and 6 and use the integer part.
C. Write the numbers 1 through 6 on slips of paper. Select one slip at random.
D. Select the student who is sitting nearest her.
Answer:
C. Write the numbers 1 through 6 on slips of paper. Select one slip at random.
Step-by-step explanation:
beacuse everyone will pick up a random number :3
Answer:
use a calculator to generate a random decimal between 1 and 6 and use the integer part.
What is the slope of the line that passes through the points (-5, 8)(−5,8) and (-5, 4)(−5,4)?
The slope of the line that passes through the points (-5, 8)and (−5,4) is undefined.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the points (-5, 8)and (−5,4).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (4-8) / (-5 + 5)
m = -4/0
The slope is undefined.
Therefore, the slope is undefined.
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(Help me please)
Lin and Noah are packing small cubes into a cube with an edge length of 1½ inches. Lin is using cubes with an edge length of ½ inch, and Noah is using cubes with an edge length of ¼ inch. Who would need more cubes to fill the 1 1/2 inch cube? Show how you know
Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
Noah would need more cubes to fill the 1 1/2 inch cube because the cubes he is using have a smaller edge length than the cubes Lin is using. The larger the edge length of the cubes being used, the fewer number of cubes needed to fill a given space.
To see this, you can calculate the volume of the cube being filled by both Lin and Noah. The cube that Lin is filling has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Lin is using have a volume of (0.5)^3 = 0.125 cubic inches. So, Lin needs 3.375/0.125 = 27 cubes to fill the 1.5 inch cube.
The cube that Noah is filling also has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Noah is using have a volume of (0.25)^3 = 0.03125 cubic inches. So, Noah needs 3.375/0.03125 = 108 cubes to fill the 1.5 inch cube.
As we can see, Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
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There are 10 dark chocolates, 8 milk chocolates, and 7 sea salt caramel chocoaltes and 8 crunch almond chocolates in a mixed flavor Dove chocolate bag. What is the probability of randomly choosing a dark chocolate?
Answer:
10/33 there 33 chocolates in the bag but only 10 are dark chocolate
Step-by-step explanation:
Happy To Help!!!A garage charges $55 per tire and $30 dollars per hour of labor. If you need two tries and it takes half an hour to install how much do you pay?
Answer:
$140
Step-by-step explanation:
First, we multiply the amount of tires by the price of the tire. $55 * 2 = $110.
Second, we multiply the amount of hours by the price of an hour of labor. They take half an hour, so we multiply $30 by 1/2.
1/2 * $30 = $15.
Finally, we add the cost of the tires and the labor together.
$110 + $15 = $125
Hope this helps!
what's 1/2r+3<6 two step inequalities
Answer:
r < 6
Step-by-step explanation:
[tex] \implies \dfrac{1}{2}r + 3 < 6[/tex]
[tex] \implies \dfrac{r}{2} < 6 - 3[/tex]
[tex] \implies \dfrac{r}{2} < 3[/tex]
[tex] \implies r < 3 \: \cdot \: 2[/tex]
[tex] \implies \underline{ r < 6}[/tex]
Please help ASAP!
Solve the inequities:
k^2-7k+12. 25>0
2. 25y^2-3y+1<0
It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression
Solve the inequities:
k^2-7k+12. 25>0
2. 25y^2-3y+1<0
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression
So Whenever you find two conclusions which are false Just check for these two symbols . In Most of the case where two conclusions are false and these two signs are not there respectively than that statement, you can call it as Neither Nor.
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Find the length of the third side. If necessary, round to the nearest tenth
Answer: 26
Step-by-step explanation:
In the picture, we are given a right triangle. Based on that, we can use the Pythagorean Theorem, which helps us find the missing side length with the formula [tex]a^2+b^2=c^2[/tex].
a and b represent the legs, and c is the hypotenuse. The hypotenuse is the longest side of the right triangle. It is also the side that is diagonal from the right angle.
In the picture, we are presented with the legs. So, we can plug in the legs into a and b to solve for c.
[tex]a^2+b^2=c^2[/tex] [plug in a and b]
[tex]10^2+24^2=c^2[/tex] [exponent]
[tex]100+576=c^2[/tex] [add]
[tex]676=c^2[/tex] [square root both sides]
[tex]c=26[/tex]
This tells us that the length of the third side is 26.
Given that AB is a line segment and the angle
y
= 33°, work out the value of the angle marked
x
.
180-33
=147
so X= 147
FROM CAMBRIDGE UNIVERSITY!
In the cube $ABCDEFGH$ with opposite vertices $C$ and $E$, $J$ and $I$ are the midpoints of edges $\overline{FB}$ and $\overline{HD}$, respectively. Let $R$ be the ratio of the area of the cross-section $EJCI$ to the area of one of the faces of the cube. What is $R^2$
(A) $\frac{5}{4}$ (B) $ \frac{4}{3} $ (C) $ \frac{3}{2} $ (D) $ \frac{25}{16}$ (E) $\frac{9}{4}$.
The value of R² is 3/2
What are solids ?
A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.
We can see that EJCI is a rhombus and
Area of rhombus is given by
Area of rhombus = Lenth of one diagonal * length of another dialonal / 2
Thus,
EC = (a^2 + a^2 + a^2)^0.5
=> EC = a * (3)^0.5
JI = (a^2 + a^2 )^0.5
=> JI = a * (2)^0.5
So, the area of EJCI = EC * JI / 2
=> Area = (1/2) * (a^2) * (6)^0.5
Area of face = a^2
R = [ (1/2) * (a^2) * (6)^0.5] / a^2
=> R = 1/2 * 6^0.5
So, the required R² is
R^2 = (1/4) * 6
=> R^2 = 3/2
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