Answers
Answer:
x = 28
Step-by-step explanation:
12/8 = (x-7)/14
Cross multiply.
8(x-7) = 12 × 14
Expand and multiply.
8x - 56 = 168
Add 56 on both sides.
8x = 168 + 56
8x = 224
Divide 8 into both sides.
x = 224/8
x = 28
12/8=1.5
14 x 1.5=21
21+7= 28
Related Questions
Order The numbers from least to greatest
0.453, 0.35, 4/5
Answers
Answer:
Step-by-step explanation:
0.35
0.453
4/5
Which expression is equivalent to the square root of -108 - square root of -3
Answers
Answer:
5i√3
Step-by-step explanation:
You will have to use imaginary numbers i for negative square roots.
Answer:
[tex]5\sqrt{3}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-108} -\sqrt{-3}[/tex]
[tex]\sqrt{-1}\sqrt{108}-\sqrt{-1}\sqrt{3}[/tex]
[tex]\sqrt{108}i-\sqrt{3} i[/tex]
[tex]\sqrt{36 \times 3}i-\sqrt{3}i[/tex]
[tex]\sqrt{36} \sqrt{3} i-\sqrt{3} i[/tex]
[tex]6\sqrt{3}i-\sqrt{3}i[/tex]
[tex]=5\sqrt{3}i[/tex]
What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work. y = 2x + 17 y = 1/2x + 8 y = -2x - 7 y = -1/2x + 2
Answers
Answer:
y = -1/2x + 2
Step-by-step explanation:
If two lines are perpendicular then the product of their slopes are -1
m1*m2 = -1
where m1 amd m2 is slope of two lines.
_______________________________________
Given line
y = 2x-3\
it is in form of y = mx+c (slope intercept form)
where m is slope and c is y intercept
Thus, slope of line y = 2x-3 is 2
Now we know that product of two lines are -1
let m be slope of other line
then m*2 = -1
m = -1/2
thus, slope of required line is -1/2
let the line be y = mx+c but m = -1/2
thus
y = -1/2 x + c
given that point(-6,5) lies on it
we use -6 in plca of x and 5 in place of y
5 = -1/2 *-6 + c
=>5 = 3 +c
=> c = 5-3 = 2
Thus, equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5) is y = -1/2x + 2
What is the center of a circle represented by the equation (x+9Mrs. Culland is finding the center of a circle whose equation is x2 + y2 + 6x + 4y – 3 = 0 by completing the square. Her work is shown.
x2 + y2 + 6x + 4y – 3 = 0
x2 + 6x + y2 + 4y – 3 = 0
(x2 + 6x) + (y2 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4)2+(y−6)2=102?
Answers
Answer:
The center of the circle is at the point (-3, -2) on the plane
Step-by-step explanation:
The first four steps in the completing of the squares to find the standard equation of a circle are correct. Let's start from there and actually complete the squares correctly:
[tex](x^2+6\,x+9)+(y^2+4\,y+4)=3+9+4\\(x+3)^2+(y+2)^2=16\\(x+3)^2+(y+2)^2=4^2[/tex]
Therefore, this is a circle centered at x = -3 [based on the horizontal translation defined by (x+3)], and at y = -2 [based on the vertical translation defined by (y+2)], and the circle has radius 4 based on the numerical constant squared on the right side of the equal sign.
y is inversely proportional to x.
Complete the table.
х
15
6
у
5
10
Answers
Answer:
When x = 15, y= 2
When y= 10, x= 3
Step-by-step explanation:
This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.
We are to complete the table using the relationship between x and y.
Given:
y is inversely proportional to x = y ∝ 1/x
∝ = proportional to
y ∝ 1/x
y = k × 1/x
Where k = constant of proportionality
To understand the relationship between y and x, we need to find the value of k.
y = k × 1/x
From the table,
When x = 6, y = 5
5 = k × 1/6
5 = k/6
k = 6×5 = 30
y = 30 × 1/x
y = 30/x
The above relationship would enable us find the missing parts.
When x = 15, y= ?
y = 30/15
y = 2
When y= 10, x= ?
10 = 30/x
10x = 30
x = 30/10
x= 3
ABC and ADC are triangles. The area of triangle ADC is 52m^2. Work out the length of AB. Give your answer to 1 decimal place.
Answers
Answer:
AB = 10.2m
Step-by-step explanation:
Area of triangle ADC = 52m²
AD = 12m, angle D = 102°
Area of triangle ADC = ½ × a × b × sinC
52m² = ½ × 12 × CD × sin102
52 = 6 × CD × 0.9781
CD = 52/(6× 0.9781)
CD = 52/(5.8686)
CD = 8.86m = 8.9m (1 decimal place)
Using Cosine rule to find AC = d
d² = a² + c² -2×a×d ×cosD
d² = 8.9² + 12² - 2×8.9×12× Cos102
Cos102 = -0.2079
d² = 267.61744
d = √(267.61744)
AC = d = 16.4m
For ∆ABC
Using sine rule:
a/sinA = b/sinB
AB/sin46 = AC/sin120
AB/0.7193 = 16.4/0.866
AB = 14.2024 ×0.7193
AB = 10.2m (1 decimal place)
Answer: 13.6
Step-by-step explanation:
See photo
. Express 3/7 as a rational number with denominator 91.
(1 Point)
Answers
Answer:
[tex]\frac{39}{91}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{7}[/tex]
To express as a rational number with 91 on the denominator.
91 ÷ 7 = 13
Thus multiply the numerator and denominator by 13, that is
[tex]\frac{3(13)}{7(13)}[/tex] = [tex]\frac{39}{91}[/tex]
8 Shadi has four bottles
The bottles hold 650 ml, 38 L 5020 ml and 0.045 L
Shadi want to use the bottle that holds closest to litre
Which bottle should be use? Show your working
Answers
Answer:
650 ml
Step-by-step explanation:
1 ml = 0.001 L
650 ml = .65 L
38 L = 38 L
5020 ml = 5.02 L
0.045 L = 0.045 L
If Shadi wants to use the one closest to 1 L then she would use the 650 ml bottle
I really need help with this question
Answers
Answer:
2pin1,n€Z
2pin2+pi,n2€Z
Step-by-step explanation:
maybe, but I'm not sure
-3/7 * 1-1/14 answer answer
Answers
Answer:-1/2
Step-by-step explanation:
-3/7 x 1-1/14
Multiply first
-3/7-1/14
-7/14=-1/2
Answer:
-1/2
Step-by-step explanation:
What transformations was not done to the linear parent function, f(x)=x to get the function g(x)=-1/3(x-7)+2?
Answers
Answer:
Step-by-step explanation:
Consider that by changing the the variable x with x-c represents a horizontal shift of c units. If c>0 then it is a right shift and it is a left shift otherwise. When we multiply the variable by a number d (i.e dx) we are applying an horizontal compression/stretching. If d>1 it compresses it, and if 0<d<1 it stretches it. By multipyling the variable x by a negative sign, we are reflecting with respect the x -axis. Finally when we add a number to the function, we are applying a vertical shift.
original function x.
1. (x-7): horizontal shift of 7 units to the right.
2. 1/3(x-7): Horizontal stretching by factor 1/3.
3.-1/3(x-7): Reflection with respect the x-axis
4.-1/3(x-7)+2: Vertical shift of two units up.
Which shape is an equivalent fraction to this fraction? 3/4
10/14
7/8
6/8
4/7
Answers
Answer:
6/8
Step-by-step explanation:
3/4
Multiply by 2/2
3/4 *2/2 = 6/8
The perimeter of a square is 4s, where s is the length of one side.
Find the perimeter of the square at the right. Show unit analysis.
7 ft
Answers
Answer:
28ft.
Step-by-step explanation:
If [tex]s[/tex] equals 7 and the perimeter equals 4 times [tex]s[/tex], then the perimeter would be 4 times 7.
N(x) = -3(x - 2)2 + 60,
Plot the axis of symmetry and the vertex for this function
Answers
Answer:
Step-by-step explanation:
Rewrite the set D by listing its elements. Make sure to use the appropriate set notation.
D= {y | y is an integer and -2
Answers
Step-by-step explanation:
D=Y/Y IS AN INTEGER AND -2
Answer:
{-2}
Step-by-step explanation:
The element in the set will be:
D = {-2}
The given form of the set is a set-builder notation form.
=> Here, It's written that y is an integer and is exactly -2 and nothing else at all.
So, the set becomes:
=> D = {-2}
I need to write the equation of the line in slope intercept form
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
Step 1: Find slope
m = (3-1)/(-1+2) = 2
Step 2: Find y-intercept
(0, 5)
Step 3: Write in slope-intercept form
y = mx + b
y = 2x + 5
And we have your answer!
Answer:
y = 2x + 5
Step-by-step explanation:
We can see the point (-1, 3) and the y-intercept (0, 5). Slope intercept form is y = mx+b, where m is the slope and b is the y-intercept. With this, we know that b = 5. We can plug in the point (-1, 3) with -1 as x and 3 as y to find m. Doing so gives us 3 = -1m+5. This simplifies to -1m = -2, and m = 2. We can now plug in m to get the equation y = 2x + 5.
Please help me I've been stuck on this for a bit
Answers
Answer:
A=1.5 units²
Step-by-step explanation:
a²+b²=c²
2.5²+1.5²=c²
a²+2.25=6.25
a²=4.00
a=2
A=1/2 x b x h
A=1/2 x 1.5 x 2
A=1.5 units²
Answer:
1.5
Step-by-step explanation:
Use the pythagorean theorem. a^2+b^2=c^2. a and b are the legs, or the shorter sides of the triangle. If you don't know which ones are shorter, just know that c is opposite of the right angle which is 2.5 in this case. So c is 2.5 and a is 1.5. Now you plug the values into the equation
1.5^2+b^2=2.5^2
2.25+b^2= 6.25 .Simplify the equation
b^2= 4 .Subtract 2.25 from both sides.
b= 2. Square root both sides.
Based on the picture, a is the base and b is the height. The area of a triangle is 1/2(bh) .You already know the base and height you you plug it in again
1/2(1.5*2)= 1/2(3)= 1.5
Joel rides his bicycle 250m towards north to meet his friend Jim. From there he bicycles 450m south along the same road. What integer will represent his final position from his house?
Answers
Answer:
He is 200 meters south of his house.
Step-by-step explanation:
Say north is positive and south is negative, but your answer will be the absolute value. He goes 250m North. He then goes 450m south which would translate into a problem as 250-450=|-200|=200. In simpler terms think of the road as a number line where north is positive and south is negative and your house is zero, you want the distance on the line from zero.
Square OABC is drawn on a centimetre grid. O is (0,0) A is (2,0) B is (2,2) C is (0,2) Write down how many invariant points there are on the perimeter of the square when OABC is rotated 90 degrees clockwise, centre (2,0).
Answers
Answer:
One invariant point;
Point A = (2, 0)
Step-by-step explanation:
The coordinates of the square vertices are;
O = (0, 0)
A = (2, 0)
B = (2, 2)
C = (0, 2)
Therefore, we have by 90° clockwise rotation;
O' = (2, 2)
A' = (2, 0)
B' = (4, 0)
C' = (2, 4)
Therefore, since only A' (2, 0) = A (2, 0), we have only one invariant point on the perimeter of the square when it is rotated 90° about the center (2, 0) which is the point A = (2, 0).
FIRST TO ANSWER GETS BRAINLIEST: The average age of one hundred Year 9 students is 14 y 10 m. The average age of one hundred Year 8 students is 13 y 6 m. What is the average age, (in years and months), for the 200 combined Years 8 and 9 students? OPTIONS: .1) 14 Years 0 Months .2) 14 Years 2 Months .3) 13 Years 11 Months .4) 14 Years 8 Months .5) 13 Years 10 Months
Answers
Answer:
2) 14 y 2 m
Step-by-step explanation:
Year 9 students: total age= 100* 14 10/12= 1400 +100*5/6= 1483 y 8 m
Year 8 students: total age= 100* 13 6/12= 1350 y
Total age of 200 students: 1483 y 8 m + 1350 y= 2833 y 8 m
Average age= 2833 8/12 ÷ 200= (12*2833+8)/12 ÷ 200 = 34004/(12*200)= 34004/2400= 14 404/2400 ≈ 14 1/6 y= 14 y 2 m
The profit ,P dollars, earned by students at a high school selling boxes of chocolates is approximated to be P= -60x^2+600x , where x dollars is the selling price of one box of chocolates. What selling price gives the maximum profit?
Answers
Answer:
Selling price of 5 gives the maximum profit
Step-by-step explanation:
What we do here is to find the first derivative, since at maximum points, the profit will be set to zero.
Mathematically, we have;
dp/dx = -120x + 600
We now equate this to zero
0 = -120x + 600
120x = 600
x = 600/120
x = 5
Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda?
Answers
Answer:
3 more square feet.
Step-by-step explanation:
x = The amount Melinda can shovel in 1 minute
y = The amount Paula can shovel in 1 minute
So make two equations:
30(x + y) = 450 x + y = 15 x = 15 - y
20x + 25y = 345 4x + 5y = 69
Plug in:
4(15 - y) + 5y = 69
60 - 4y + 5y = 69
y = 9
x = 6
9 - 6 = 3
Answer:
Answer is A
Step-by-step explanation:
Took it on Edg.
Tom went to shop to buy 8 eggs . When he reach back home he broke one egg, fry one egg and eat one egg. How much eggs does Tom have now
Answers
Answer:
7
Step-by-step explanation:
Answer:
Pretty sure he has 6 eggs
Step-by-step explanation:
I will give brainliest if correct
the option for if PQRS is a quadrilateral inscribed in a circle, then the opposite angles of the quadrilateral are complementary/supplementary/equal
Answers
Answer:supplementary
Step-by-step explanation:
Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.
If a quadrilateral is inscribed in a circle, opposite angles are congruent.
The values of x and y are 98 and 112 degrees respectively.
How to find the angles of a quadrilateral?
When a quadrilateral is inscribed in a circle, opposite angles are supplementary angles.
Therefore, the angles of the cyclic quadrilateral are as follows:
x + 82 = 180
x = 180 - 82
x = 98 degrees.
y + 68 = 180
y = 180 - 68
y = 112 degrees.
learn more on quadrilateral here: https://brainly.com/question/27751407
#SPJ2
Can someone help me with the awnser?
Answers
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25²
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
We need to use Pythagoras Theorem to find the value of x. Usually we use Pythagoras to work out the hypotenuse (the side opposite the right-angle) but we are given the hypotenuse, so we will have to rearrange.
→ Form equation
20² + b² = 25²
→ Simplify
400 + b² = 625
→ Minus 400 from both sides to isolate b²
b² = 225
→ Square root both sides to isolate b
b = 15
Un grup de ciclistes han de fer una excursió a una casa rural que es troba a 72 quilòmetres del seu poble. El primer dia recorren 2/3 del camí. El segon dia recorren 1/4 del camí i el tercer dia arriben a la casa rural. Calcula els quilòmetres que recorren cada dia.
Answers
Answer:
29.76 milles
11.16 milles
44.64 milles
Step-by-step explanation:
Van haver de fer una excursió a una casa rural que està a 72 quilòmetres del seu poble.
El primer dia viatgen 2/3 de camí. Aquest dia, van viatjar:
2/3 * 72 = 48 quilòmetres
En el segon dia viatgen 1/4 de camí. Aquest dia, van viatjar:
1/4 * 72 = 18 quilòmetres
A el tercer dia arriben a la casa de camp. Aquest dia, van viatjar 72 quilòmetres.
Hem de convertir cada un d'ells en milles.
1 km = 0.62 milles
El primer dia:
48 km = 0.62 * 48 = 29.76 milles
El segon dia:
18 km = 0.62 * 18 = 11.16 milles
El tercer dia:
72 km = 0.62 * 72 = 44.64 milles
The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?
Answers
Answer:
l=[tex]24\*x^{6}[/tex]
w=[tex]y^{15}[/tex]
Step-by-step explanation:
We know that the area of rectangle can be determined by the multiply the length to the width i.e
A = l • w..................Eq(1)
Here A represented the area .
l= Length of rectangle
w= Width of rectangle
Here A= [tex]24x^{6} y^{15}[/tex]...
It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)
Comparing the Eq(2) to the Eq(1)
[tex]l=24x^{6}\\ w=y^{15}[/tex]
Answer:
the right answer A. 2x^5y^8 and 12xy^7
Step-by-step explanation:
Really need help :( struggling
Answers
Answer:
B
Step-by-step explanation:
The original amount will be the coefficient of (1 + 0.04)^r which is $728.00.
The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x - 3. What is AB - C in simplest form?
Answers
Please help ! I don’t understand:((
Answers
Answer:
B
Step-by-step explanation:
sorry if im wrong but i used desmos next time its graphing use desmos